ML18064A536
| ML18064A536 | |
| Person / Time | |
|---|---|
| Site: | Palisades  |
| Issue date: | 12/29/1994 |
| From: | CONSUMERS ENERGY CO. (FORMERLY CONSUMERS POWER CO.) |
| To: | |
| Shared Package | |
| ML18064A535 | List: |
| References | |
| NUDOCS 9501050125 | |
| Download: ML18064A536 (295) | |
Text
{{#Wiki_filter:ATTACHMENT I Consumers Power Company Palisades Plant Docket 50-255 PROPOSED IODINE REMOVAL SYSTEM TECHNICAL SPECIFICATIONS
- PROPOSED PAGES 5 Pages r- PDR 9501050125 941229 P
ADOCK 05000255 PDR
3.18 Deleted
- 3.19 IODINE REMOVAL SYSTEM Specification The Trisodium Phosphate (TSP) baskets shall be OPERABLE, containing
~ 8,300 pounds and ~ 11,000 pounds of active TSP.
Applicability Specification 3.19 is applicable when the PCS is ~ 300°F. Action 3.19.1 With TSP not within limits, restore TSP to within limits within 72 hours. 3.19.2 If the action required by 3.19.1 is not met and the associated completion time has expired: a) The reactor shall be placed in HOT SHUTDOWN within 12 hours, and b) The reactor shall be placed in a condition where the affected equipment is not required, within 48 hours .
- Amendment No. S, 3-l, 4-S, 43-, 68, 58, 6-2-,
3-79
3.19 IODINE REMOVAL SYSTEM 3.19 Basis Iodine Removal System Trisodium Phosphate (TSP) Baskets TSP is placed in baskets on the floor at 590 ft. elevation in the containment building to ensure that iodine, which may be dissolved in the recirculated reactor cooling water following a loss of coolant accident (LOCA), remains in solution and that a neutral pH is maintained. Recirculation of the water for core cooling and containment spray provides mixing to achieve a uniform neutral solution pH. TSP also helps inhibit stress corrosion cracking (SCC) of austenitic stainless steel components in containment during the recirculation phase following an accident. Fuel that is damaged during a LOCA will release iodine in several chemical forms to the reactor coolant and to the containment atmosphere. A portion of the iodine in the containment atmosphere is washed to the sump by containment sprays. The SIRWT water is borated for reactivity control. This borated water, if left untreated, would cause the sump solution to be acidic. In a low pH (acidic) solution, dissolved iodine will be converted to a volatile form. The volatile iodine will evolve out of solution into the containment atmosphere, significantly increasing the levels of airborne iodine. The increased levels of airborne iodine in containment contribute to the radiological releases and increase the consequences from the accident due to containment atmosphere leakage. After a LOCA, the componerits of the safety injection and containment spray systems will be exposed to high temperature borated water. Prolonged exposure to hot untreated sump water combined with stresses imposed on the components can cause sec. The rate of sec is a function of stress, oxygen and chloride concentrations, pH, temperature, and alloy composition of the components. High temperatures and low pH, which would be present after a LOCA, tend to promote sec. This can lead to the failure of necessary safety systems or components. Adjusting the pH of the recirculation solution to levels above 7.0 prevents a significant fraction of the dissolved iodine from converting to a volatile form. The higher pH thus decreases the level of airborne iodine in containment and reduces the radiological consequences from containment . atmosphere leakage following a LOCA. Maintaining the solution pH above 7.0 also reduces the occurrence of SCC of austenitic stainless steel compon~nts in containment. Reducing SCC reduces the probability of failure of components. The hydrated form of TSP contains molecules of water attached to each molecule of TSP. That form of TSP is used because of the high humidity which might occur in the containment building durjng normal operation. Since_the TSP is hydrated, it is less likely to absorb large additional amounts of water than anhydrous (without water) TSP and will undergo less physical and chemical change. Amendment No. 3-79a
3.19 IODINE REMOVAL .SYSTEM Basis Iodine Removal System TSP Baskets (continued) The quantity of TSP placed in containment is designed to adjust the pH of the sump water to be between 7.0 and 8.0. The pH needs to remain< 8.0 to remain within the assumptions of the analysis for post-LOCA Hydrogen concentration in the containment. That analysis concludes that hydrogen generation will not exceed the limits of Regulatory Guide 1.7. W~iqht limits: The minimum acceptable amount of TSP is that weight which will ensure a sump solution pH~ 7.0 after a LOCA, with the maximum amount of water at the minimum initial pH possible in the containment sump; a maximum acceptable amount of TSP is that weight which could cause a sump solution pH of ~ 8.0 with a minimum amount of water at a maximum initial pH. The TSP is stored in wire mesh baskets placed inside the containment at the 590 ft. elevation. Any quantity between 8,300 and 11,000 lb. of TSP will result in a pH in the desired range. Basis Applicability 3.19 TSP baskets support operation of the Safety Injection System, The Containment Spray System, and the SIRWT. Therefore, the TSP baskets are required to be OPERABLE when the PCS is greater than 300°F. Basis Action Statements 3.19 The listed Action is required to be completed within the specified time if the conditions of the specification are not met. If, prior to expiration of the specified*completion time, the required conditions are restored, completion of the Action is not required. Each specified completion time starts at the time it is discovered that the Actton statement is applicable. Action 3.19.1 - TSP not within limit - If it is discovered that the TSP in the containment building is not within limits, action must be taken to restore the TSP to within limits. The Completion Time of 72 hours is allowed for restoring the TSP within limits, where possible, because 72 hours is the same time allowed for restoration of other ECCS components. Action 3.19.2 - Required action AND associated completion time not met - If the required action cannot be met within the associated completion time, the plant must be placed in a condition where the inoperable equipment is not required. Twelve hours are allowed to bring the plant to HOT SHUTDOWN, and 48 hours to reach conditions where the affected equipment is not required, to avoid unusual plant transients. Both the 12 and the 48 hour time periods start when it is discovered that Action 3.19.2 is applicable. Amendment No. 3-79b
4.2 EQUIPMENT SAMPLING AND TESTS Table 4.2.2 (continued) Minimum Frequencies for Equipment Tests
- 12. Iodine Removal System Verify the Iodine Removal System TSP baskets are OPERABLE by the following surveillance:
- a. Verify the TSP baskets contain between 8,300 and 11,000 pounds of TSP each 18 months.
- b. Verify that a sample from the TSP baskets provides adequate pH adjustment of borated water each 18 months.
- 13. Containment Purge and Ventilation Isolation Valves The Containment Purge and Ventilation Isolation Valves shall be determined closed:
- a. At least once per 24 hours by checking the valve position indicator in the control room.
- b. At least once every 6 months by performing a leak rate test between the valves.
- 14. Shutdown Cooling To meet the shutdown cooling requirements of Section 3.1.9:
- a. The required reactor coolant pump(s), if not in operation should be determined to be OPERABLE once per 7 days by verifying correct breaker alignments and indicated power availability.
- b. The required steam generator(s) shall be determined OPERABLE by verifying the secondary water level to be ~-84% at least once per 12 hours.
- c. At least one coolant loop or train shall be verified to be in operation and circulating reactor coolant at least once per 12 hours.
- 15. Main Feedwater Isolation
- a. Verify that the Main Feedwater Regulating valve and the associated bypass valve close on an actual or simulated Containment .High Pressure (CHP) signal once each 18 months.
- b. Verify that the Main Feedwater Regulating valve and the associated bypass valve close on an actual or simulated Steam Generator Low Pressure (SGLP) signal once each 18 months .
- Amendment No. 8-l-, 9-G, §8, +/-6-l-, 62-,
4-13
Basis - Table 4.2.2 Item 12 - Trisodium Phosphate (TSP} Tests Item 12a, TSP quantity verification Verification of the quantity of TSP in the baskets ensures that neither leakage nor other water sources in the containment reduce the basket content below the required minimum. This requirement ensures that there is an adequate quantity of TSP to adjust the pH of the post LOCA sump solution to a value between 7.0 and 8.0. Item 12.b - TSP quality verification Periodic testing is performed to ensure the solubility and buffering ability of the TSP after exposure to the containment environment. Satisfactory completion of this test assures that the TSP in the baskets is "active" as required by Specification 3.19. Adequate solubility is verified by submerging a representative sample of TSP from one of the baskets in containment in un-agitated borated water heated to a temperature representing post-LOCA conditions; the TSP must completely dissolve within a 4 hour period. The test time of 4 hours is specified to allow time for the dissolved TSP to naturally diffuse through the un-agitated test solution. Agitation of the test solution during the solubility verification is prohibited, since an adequate standard for the agitation intensity (other than no agitation) cannot be specified. The flow and turbulence in the containment sump during recirculation would significantly decrease the time required for the TSP to dissolve. Adequate buffering capability is verified by a measured pH of the sample solution, following the solubility verification, between 7 and 8. The sample is cooled and thoroughly mixed prior to measuring pH. The quantity of the TSP sample, and quantity and boron concentration of the water are chosen to be representative of post-LOCA conditions .
- 4-15a Amendment No.
ATTACHMENT 2 Consumers Power Company Pali sades Pl ant. Docket 50-255 PROPOSED IODINE REMOVAL SYSTEM TECHNICAL SPECIFICATIONS EXISTING PAGES WITH PROPOSED CHANGES MARKED 5 Pages
3.18 Deleted 3.19 IODINE REMOVAL SYSTEM Speci fi cation: 3 .19 The Iedi rm Removal System shall be OPERABLE Hi th:
- a. The Sodium Hydroxide TaRk (T 103) coRtaiRiRg a miRimum 4,200 +/- 300 galloRs of 30.0 +/- 0.5 perceRt by weight sodium hydroxide solutioR.
- b. T 103 capable of supplyiRg sodium hydroxide solutioR to the coRtaiRmeRt spray pump suctioR headers.
Applicability
~iii:~::i~:i:;:i:;:i:~::::::~::i::l:l:::::::;::i:]:i~:i~:::;:i:i~:~::i::::::,ii:~:i:l:r,:;l~'~i:ii:i:i::;:;~l:~~:t:fm Action With the IodiRe Removal System iRoperable:
- a. Restore the system to operable status withiR 72 hours, or
- b. Be i R HOT SHUTDOWN wit hi R the Rext 48 hours.
[REPLACE BASIS SECTION WITH PROPOSED PAGES 3-79a, b, &c.] The IodiRe Removal System acts iR coRjuRctioR with the coRtaiRmeRt spray system to reduce the post accideRt level of fission products in the containment atmosphere. Sodium Hydroxide is added to the recirculated water after a LOGA to establish a neutral pH. References FSAR, Section 6.4. FSAR, SectioR 14.22. Amendment No. 20, 31, 40, 43, 68, 110, 158, ~ 3-79
4.2 EQUIPMENT SAMPLING AND TESTS Table 4.2.2 {continued) Minimum Frequencies for Equipment Tests
- 12. Iodine Removal System The lodiRe Removal System shall be demoRstrated operable:
- a. At least oRce per 31 days by veri fyiRg that each valve (maRual , po'o'er operated or automatic) iR the flow path that is Rot locked, sealed or otherwise secured iR positioR, is iR its correct positioR.
- b. At least oRce per 6 moRths by:
- 1. VerifyiRg the volume of sodium hydroxide iR taRk T 103.
- 2. VerifyiRg the coRceRtratioR of sodium hydroxide iR T 103.
- --)
[ADD BASIS ON PROPOSED PAGE 4-15a]
- 13. Containment Purge and Ventilation Isolation Valves The Containment Purge and Ventilation Isolation Valves shall be determined closed:
- a. At least once per 24 hours by checking the valve position indicator in the control room.
- b. At least once every 6 months by performing a leak rate test between the valves.
- 14. Shutdown Cooling To meet the shutdown cooling requirements of Section 3.1.9:
- a. The required reactor coolant pump{s), if not in operation should be determined to be OPERABLE once per 7 days by verifying correct breaker alignments and indicated power availability.
- b. The required steam generator(s) shall be determined OPERABLE by verifying the secondary water level to be ~-84% at least once per 12 hours.
- c. At least one coolant loop or train shall be verified to be in operation and circulating reactor coolant at least once per 12 hours.
- 15. Main Feedwater Isolation
- a. Verify that the Main Feedwater Regulating valve and the associated bypass valve close on an actual or simulated Containment High Pressure (CHP) signal once each 18 months.
- b. Verify that the Main Feedwater Regulating valve and the associated bypass valve close on an actual or simulated Steam Generator Low Pressure (SGLP) signal once each 18 months.
Amendment No. 8-l-, -9G, .f-58, -l-6-1-, 162 4-13
Amendment No. 4-lSa
- ATTACHMENT 3 Consumers Power Company Pa 1i sades Pl ant Docket 50-255 PROPOSED IODINE REMOVAL SYSTEM TECHNICAL SPECIFICATIONS ENGINEERING ANALYSIS, EA-FC-949-01 CONTAINMENT SUMP pH CONTROL USING TRISODIUM PHOSPHATE
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Form J 619 I 0-91
PALISADES NUCLEAR PLANT EA-FC-949-01 Rev 3
- BACKGROUND TABLE OF CONTENTS Sheet 2 Sheet 3
- 1. 0 OBJECTIVE . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . * ................... .
)
4 .
- 2. 0 ANALYSIS INPUT . . . . * * . . . * . . . . . . . . . . . . . . . . . . . . . . . * . . . . . . . . . . . . . . ; 5 2 .1 References . . . . . . . . . . . . . . . . . . . . * . . * . . * * . . *. * . . . . . . . * . . . . . 5
- 2. 2 Design Input . . . . . . . . . . . . , . * . . * * * . . * * * . . . . . . . . . . . . . . . . . . 6 *
- 3. 0 ASSUMPTIONS . . . * . . . . * * . . . . . . .*. . . . . . . . . * . . . * * . * * . . . . . . . . . . . . . . 11 3 .1 Major Assumptions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . * ....... . 11 .
- 3. 2 Minor Assumptions .............................. . . * ....... . 11 4.0 APPROACH .....................................................
. . . :1;3 4 .1 Methodology . * . . . * . . . . . . . . . *. . . . . * * * . . .* . . . . . * * . . . . . . . . . . . 13
- 4. 2 Acceptance* Criteria ..*......************..*.. ~ . . . . . . . . . . 14 4.3 Computer Program 15 5.0 ANALYSIS 16 5.1 Formulae and Symbols . . . . . . * . . . . . . . . * . . . . . . * . . . . . . . . . . . . -16
- 5. 2 Computations ....**.... *. . . . . . . . * * . * . * . * .. . .. * . * .. . . . . . . * . . . . 19
6.0 CONCLUSION
..***..* * . . . * . . . . ~ ..... *..*... *; * * * . . . . . * . ; .*.* *. . . . .. * . . 21 6 .1 Summary _of Results ..*.**...***.* ,. ** ~ *.*.***..***. : . . . . ~.. 21 6 :.2 Conclusions .*...***...*.....*.***.**.. ~ ** . . . . * . . . * . . . . . . .* . . 21
- 6. 3 Recommendations.* .* . * . . . * * . . . . * * . * . . * . * ** . . * * * . . . . * . . . . . . . . 22 6.4 Li mi ta*t.i:oris .........**................*..**..*....*.......... . 22
". ~.-.~~*'-;:
APPENDIX A (VALIDATION OF COMPUTER PROGRAM) . . . .. . . . . . . . Al-A14 APPENDIX B (COMPUTER RUNS) .*.. ~........................ Bl-Bl09 APPENDIX C (ANALYSIS FOR COMMERCIAL TSP) Cl-C38 APPENDIX D (VALIDATION OF COMPUTER PROGRAM) .*.......... Dl-D20 APPENDIX E (COMPUTER RUNS) ........**..........**..*.... El-E61. APPENDIX F (ATTACHMENTS) . . . . . . . . . . . . . . . . . . . . . . * ....... .
. . Fl-F9.
- PALISADES NUCLEAR PLANT BACKGROUND EA-FC~949-0l Sheet 3 Rev 3 This analysis is part of a facility change that discusses and.
documents the installation of trisodium phosphate baskets in the containment to control the sump pH. Control of post LOCA containment sump pH is important for the following reasons: Too low*a pH could result. in radioactive iodine evolving from the sump water into containment atmosphere thus increasing dose rates inside containment and increasing the control room and offsite doses: Too low a pH could also contribute to Stress corrosion cracking which could lead to failures in safety related
- equipment or components.*
Too high a pH could result in excessive hydrogen generation in containment, resulting in potentially explosive atmosphere. Too high a pH could also result in a breakdown of insulating material in containment which could contribute
*to containment sump blockage.
Based on ~*tanqard. -Re~iew Plan, NUREG-0800, Section 6. s. 2, long-term iodine* _retention may be assumed only when the equilibrium sump solut'i.~~-pH is above 7. This pH value should be achieved-by. the onset of the spray recirculation mode. Also, Palisades hydrogen generation analyses require a containment sump pH below
- 8.
PALISADES NUCLEAR PLANT. EA-FC-949-01 Rev 3 Sheet 4 1.0 OBJECTIVE .. The purpose of this calculation is to determine the quantity of pure trisodium phosphate dodecahydrate (pure TSP) required to raise the pH of borated water in the containment su~p to within the range of 7.0 to 8.0, for post-LOCA conditions. Both the maximum and the minimum quantities of boron and borated water in the sump are considered and the quantity of pure TSP required to raise the pH to within the above range is determined for each case. Also, different temperature values, within the *range of.77
°F to 283 °F; are considered and the analysis is performed for each of these.values.
In Appendix c, commercial grade. TSP decahydrate (commercial .TSP)' is considered and the finalized basket design is evaluated. In addition, recommendations regarding the procedures and requirements for a pH initial test are provided. The results of
- that test are used to bench-mark the values calculated in Appendix C.
I .
- 2. 0 PALISADES NUCLEAR PLANT ANALYSIS- INPUT EA-FC-949-01 Sheet 5 Rev 3 2.1 References 2.1.1 "Maximum_and Minimum Containment Sump Volume and Corresponding Boron Concentration Following a Large Break LOCA", EA-GCP-91-04, Rev. 2.
2.1.2 "Cameron Hydraulic Data", C. C. Heald,_ Ingersoll Rand, Seventeenth Edition, 1988. 2.1.3 "Chemistry of Natural Waters", s. D.* Faust. and o. M. Aly,
- Ann Arbor science Publishers, Inc., 1981.
2.1.4 "Lange's Handbook of Chemistry 11 ,-J. A. Dean, McGraw-Hill Company, Eleventh Edition, 1973. 2.1.5 -"Acidity Measurements in Elevated Temperatures. VI. Boric Acid Equilibria", R. E. Mesmer, C~ F. Baes, Jr. and F .. H. Sweeton, Inorganic Chemistry, Vol. 11, No. 3, 1972. 2.1.6 "Spectrophotometric Determination of the First and Second_ Ionization Constants of Phosphoric Acid from 25_ to 175°C", L. -A:~: Pavlyuk and - P. A. Kryukov, Institute of Inorganic che_mi_stry, -_Novosibirsk, USSR, 1978. 2 .1. 7 - "Iodine Chemical Forms in LWR Seve:t'.e Accidents", NUREG/CR-5732 *, -April: -1992. 2.1.8 Not used. - 2.1.9 Not used.
PALISADES NUCLEAR PLANT EA-FC-949-01 Rev 3 Sheet 6 2.1.10 "Perry's Chemical Engineer1ng Handbook", Sixth Edition. 2.1.11 DBD-2.02, Rev. 2, May 1992. 2.1.12 Not used. 2 .1.13 "Contain~ent Spray as a Fission Product. Cleanup System" I Standard Review Plan, NUREG-0800, Section 6.5.2, Rev. 2. 2 .1.14 Palisades Nuclear Plant FSAR, Section 6 .1.1, Rev.- 12. 2.1.15 "Control of Computer Soft~are", Palisades Nuclear Plant Adminis.trative Procedure 9.14, Rev .. 2, dated 3-18-94. 2.2 Design Input 2.2.1 The minimum borated water quantities and the corresponding boron concentrations in .the containment sump, 20 minutes after the start of.the event, are as follows. Source Borated water quantity. lb Boron conc*1 :g:gm Safety injection tanks 294877 1720 SIRW tank -Holdup -Ref ill .1778972 1720 Blowdown. 446901 0 Bor.:tc,*acid storage tanks 5664. 10925
-r~ -
- Sys~-~t°: leakage* 0 0 Iri.itia-~ quantity in sump 0 0 The total of the above quantities is 2526415 lb. This includes the-borated water quantity in the containment
. air, which is 88595 lb at 20 minutes. Therefore, the borated water quantity on *the sump floor would be 2437820 lb at 20 min .
- PALISADES NUCLEAR PLANT EA-FC-949-01 Sheet 7 Rev 3 Based on the assumption that the boron concentration of
.the water in the containment air is o ppm, consistent with Reference 2.1.1, the boron concentration of the water on the sump floor would be (1720x294877+1720xl778972+10925x5664)/2437820 =*1488 ppm Based on the assumption that the boron concentration of the water in the containment air is equal to that of the water on the sump floor, the boron concentration of the
. water on the sump floor would :Pe (1720x294877+1720xl778~72+10925x5664)/2S26415 = 1436 pp~
For conservatism, a water quantity and boron concentration of 2437820 lb and 1436 ppm, respectively~ are used in the analysis. This yields the minimum quantities of water and boron in the sump. (Ref . 2 ~ 1 . 1 ) 2.2.2 For the case of maximum. borated-water quantity, the system leakage is isolated 70.hours after the start of the event. The maximum borated water quantities and the corresponding boron concentrations in the containment sump, 70 hours after_the start of the event, are as follows~
- :~'.:*: Source. - Borated water -guanti ty, lb Boron cone, ppm Saf-eity. injection tanks 330924. 5 2500 SIRW tank ' 2448423 2500 Blowdown -Refill 413631. 8 1800 Boric acid storage tanks 111569 17480 System leakage 70140 0 Initial quantity in 17706.5 1800 sump -Holdup after RAS
PALISADES NUCLEAR PLANT EA-FC-949-01 Rev 3 Sheet 8 The*total of the above quantities is 3392395 lb. This includes the borated water quantity in the containment air, as well as th~ system leakage at 70 hours. System leakage versus time is provided in Reference 2.1~1 for 69.44 hours. The system leakage at 70 hours is determined by extrapolation. For conservatism, the analysis is based on the above total quantity of borated water. Based on the above, the boron concentration would be (2500x330924.5+2500x2448423+1800x413631.8+17480xlll569
+i800xl7706.5)/3392395 = 2852 ppm.
~ }~
Therefore, a water qilanti ty and boron concentration of **
-~-\
3392395 lb and 2852 ppm, respectively, are used in the analysis. This yields the maximum quantities of water and boron in the sump. . (Ref . 2 . 1 . 1 )
*2.2.3 The minimum time for a recirculation actuation signal (RAS) is 20 minutes after a large break LOCA. The minimum time for RAS is conservative since it provides less time for dissolution. (Ref . 2 . 1 . 11 )
i 2.2.4 Not used. i. I
- 2. 2. 5 Com~c::>n_ents. loc.ated within the containment building and re@i.red to- operate in the* post-DBA environment are
*. _de_~:+/-gned for- 283 °F. This is considered the maximum sump temperature for post-LOCA conditions in this analysis.
(Ref . 2 . 1 . 14 ) 2 . 2 . 6. Not used. Pw, 2.2.7 The density of wateri is as follows .
_ PALISADES NUCLEAR PLANT EA-FC-949-01 Rev 3 Sheet 9 T, °F*. 80 100 140 180 220 280 Pw, lb/ft 3 62.22 62.00 61.38 60.57 59.61 57.92 (Ref. 2. 1. 2) 2.2.8 The ionic activity product constant of water, :f<w, is as follows~ p:f<w = -log Kw= 4470.99/T - 6.0875 + 0.01706 T where T is in Kelvin. (Ref. 2. 1. 3) 2.2.9 The approximate effective ionic radii of H* and OH- in aqueous solutions at 25 °c are 9.0 A and 3.5 A, respectively. (Ref. ~-1~4)-
.., \
- 2. 2 .10 The* molecular weight of pure trisodium phosphate ..
- dodecahydrate, NalP0 4 .12H2 0, is 380.16 (Ref. 2.1.4)
- 2. 2 .11 The dissociation cons.tan ts, Ki, K2 and Kl, of phosphoric acid are as follows.
PKi = -log Ki = 583.01/T - 2.715 +. 0.009801 T PK2 = -log K2 = 1272.7/T - 1.154 -+ 0.01368 T pK3 = -log Kl = 12.36 where T is in Kelvin. (Refs. 2.1.4 & 2.1 .. 6)
- 2~2.12 ._The approximate effective ionic radius .of H2P04 ", *HP0 4 *-
an~-.-~_PQ~~~- in. aqueous solutions at 25 °C is 4. 0 A.- ( Ref . 2 . i . 4 ) 2.2;13 The molecular weight of boron is 10.81. (Ref. 2.1.4)
- 2. 2 .14 The molal equilibrium *quotients, Oi,i' Q2 ,i, Ql,i and Q4 , 2 ,
of boric acid are as follows. log Oi,i = 1573. 21/T + 28. 6059 + 0. 01_2078 T
- 13.2258 log T + (0.3250 - 0.00033 T) I
PALISADES NUCLEAR PLANT EA-FC-949-01 Rev 3 Sheet 10
- 0.0912 Ii. 5 log Q2 , 1 = 2756.1/T - *18.966 + 5.835 log T log Q3 , 1 = 3339.5/T - 8.084- + 1.497. log T log Q4,2 = 12820. O/T .-134. 56 + 42 .105 log T where T is in Kelvin and I is the ionic. strength of the solution. (Ref. 2.1.5) 2.2.15 The ionic strength of the solution, I, is as follows.
I = 0.5 (C~ Z1 2
+ C2 Z2 2
+ ........ + _Cn Zn 2
)
where c is the molality and z is the ionic charge. (Ref . 2 . 1. 4 ) 2.2.16 For the range of ionic strength of concern, the individual activity coefficient, yi, *may be estimated from the following equation of the Debye-Huckel theory.
-log Yi = (A z/ I 0-* 5 ) I (l+ (B Ai r 0
- 5 ) )
where I is the ionic strength of the solution, z is the i I ionic charge, a is the effective ionic radius in A, and A
. I and B. are temperature-dependent constants. (Ref. 2 .1. 4) 2.2.17 The pH of .the aqueous solution collected in the*
-containment sump after completio~'l of injection of containment spray and ECCS water, and all additives for reactivity cont_roi I fission product* removal r or other purpo_s~s,. should be maintained at a level sufficiently hig_h~ -t,o provide assurance that significant long-term *
*iodine re-evolution does.not*occur. Long-term iodine retention may be assumed only when the equilibrium sump solution pH, after mixing and dilution with the primary coolant and ECCS injection, is above 7. This pH.value should be achieved by the onset of the spray recirculation mode. (Ref . 2 . 1 . 13 )
PALISADES NUCLEAR PLANT EA-FC-949-01 Rev 3 Sheet 11 3.0 ASSUMPTIONS 3.1 Major Assumptions 3.1.1 Prior to a recirculation actuation signal (RAS), borated water from the containment spray would be flowing towards the sump. In the case of a large break LOCA, it is assumed that all the emergency core cooling system (ECCS) water is pumped into the containment, thus creating a highly turbulent environment. In the case of a much smaller break, the flow rate would not be as high as that after a
*large break LOCA. However, RAS would not occur as quickly as in the large break scenario and consequently a longer period of time would be available for the TSP to dissolv~.
3.1.2 Based on NUREG-0800, Reference 2.1.13, long-term iodine retention may be assumed when the equilibrium sump solution pH, by the onset 6f the spray recirculation mode, is above 7. 3:1.3 Not used. 3.1.4 Th~ analysis is based on pure trisodium phosphat~ dodecahydrate. Commercial TSP is considered in Appendix c.
- 3. 2 Minor--*Assumptions 3.2.1 All species in the solution are assumed to be in equilibrium. Therefore, the results are based on a steady state analysis.
3.2.2 The individual activity coefficients, yi, are based on
PALISADES NUCLEAR PLANT EA-FC-949-01 Rev 3 Sheet 12 the Debye-Huckel theory and are used ~s a refinement for the analysis. The approximate effective ionic radius is one of the parameters used to determine the individual activity coefficient. The approximate ionic radii used in the analysis are those at 25 °C. The effect of temperature on the approximate ionic radii, and accordingly on the individual activity coefficients and the equilibrium pH of the solution, are assumed to be negligible. 3.2.3 No credit is taken for the effect of the spray on the TSP dissolution.
PALISADES NUCLEAR PLANT EA-FC-949-01 Rev 3 Sheet 13 4.0 APPROACH
- 4.1 Methodology The purpose of this analysis is to determine the quantity of pure trisodium phosphate dodecahydrate (pure TSP) required to raise "
the pH of borated water in the containment sump to within the range of 7.0 to 8.0, for post-LOCA conditions. A parametric analysis is performed to determine the required quantity of pure TSP as a function of the sump water temperature and the desired equilibrium pH value, for both the maximum and the m*inimum quantities of boron and borated water in the sump .. The analysi~
*-*~::
is performed using a one .. shot computer program which has been* -, developed specifically for this purp9se. The methodology of th~'-. analysis is summarized as follows. Specific values of pH, sump temperature, borated water quantity, and boron concentration are considered. The total quantity of boric acid in grammole/liter, as boron~ is calculated based on the.borated water.quantity and the boron concentration. This is the concentration that results in maximum. or minimum quantity of boron. Based on the total quantity of boron and the temperature-dependent molal equilibrium quotients repo~ted by Mesmer et al. ,
- Reference 2.1.5, the equilibrium quantities of the boron speci,es are determin~d. The~e species are B (OH) 3 , B (OH) 4- , B2 (OH) 1 -,
B3 (OH) 10 - ; ,a.D,d B:., (OH) i:.--. Also, based on- the desired equilibrium pH and the temperature-dependent ionic activity product constant of water, the equilibrium quantities of OH" and H+ ions in water are determined.* An arbitrary quantity of pure TSP is considered. This would dissoci*te into phosphoric acid, negatively charged phosphate arid positively charged sodium. Based on the quantity of pure TSP and
PALISADES NUCLEAR PLANT EA-FC-949-01 Rev 3 Sheet 14 the temperature-dependent dissociation constants of phosphoric acid reported by Palvlyuk et al., Reference 2.1.6, the equilibrium quantities of the dissociation products of phosphoric acid are determined. These products are H3 P0 4 , H2 P0 4 - , HP0 4 --*, and P0 4 ---
- All negative and positiv*e charges calculated above, due to the presence of different ions and species, are balanced and the charge balance error is determined. The considered quantity of pure TSP is adjusted un.til the .charge balance error drops below a specified limit.
The above analysis is repeated for different pH values, within the range of 7. O to 8. a, and for* different temperature values, >* within the range of 77 °F to 283 °F. The analysis is also repeated for .both the maxi~um and the minimum quantities of boron and borated water in the sump. 4.2 Acceptance criteria Based on design inputs 2.2.1 and 2.2.2, a minimum borated water quantity of 2437820 lb and a corresponding boron concentration of 1436 ppm, as well as a maximum borated . water quantity of 3392395 lb.and a corresponding boron concentrat~on of 2852 ppm, are used in the analysis.
. *.,. . . :--- Also, based* on design input ~. 2. 5 ,. a temperature
. range of *1;7.:: ~F* .to 283. °F is considered.
. -~~.;..: .- .* . . .
An acceptable-qUantity of pure TSP would raise the pH value to
*within the range of 7.0 to a.a, for both the maximum and the minimum quantities of boron and borated water, at all temperatures within the above.temperature range. This quantity is determined in Section 5.0 of this analysis .
PALISADES NUCLEAR PLANT EA-FC-949-01 Rev 3 Sheet 15 The acceptable quantity of commercial TSP 'is defined and determined in Appendix c. 4.3 . Computer Program A one-shot computer program, TSP, is developed specifically for this calculation. This program is based on pure TSP, and is compiled in Microsoft Fortran on an IBM-compatible personal computer. The program is validated in accordance with the Palisades Nuclear Plant Administrative. Procedure 9.14, Reference 2.1.15, as follows. A hand calculation is performed for* a typical. case, and the results are compared with those obtained using the computer program. Appendix A includes a listing of the computer program TSP as well as the program validation, and Appendix B includes the computer ( . . output for all pure TSP cases considered in this analy~is.
PALISADES NUCLEAR PLANT EA-FC-949-01 Rev 3 Sheet 16 5.0 ANALYSIS 5.1 Formulae and Symbols T temperature p density MW molecular weight M mass h height, elevation v volume K dissociation constant Q equilibrium quotient a effective ionic radius y activity coefficient I ionic strength of the solution z ionic charge CBEB borated water charge balance error CBEP trisodium phosphate charge balance error CBE charge balance error grammole/liter The ionic strength of the solution is calculated as follows. I = 0.5(C 1 Z 1 2 + C2 Z 2 2 + ******* +en Zn 2
)
where c is. the molality and z is the ionic charge. (Ref. 2. 1. 4) The individual activity coefficients, Yi* are estimated from the following equation of the Debye-Huckel theory.
-log Yi = (A Zi 2 1°* 5 ) I (l+ (B Ai 1°* 5 ) )
where I is the ionic strength of the solution, z is the ionic charge, A is the effective ionic radius in A, and A and B are temperature-dependent constants. (Ref. 2.1.4) The equilibrium quantities of H+ and OH- ions are calculated as
PALISADES NUCLEAR PLANT EA-FC-949-01 Rev 3 Sheet 17 follows. YH [W] YoH [OH-] - Kw where YH[H+] = 10-pH and the ionic activity product constant of water,Kw, is calculated as follows. Pl<w = -log Kw = 4470.99/T - 6.0875 + 0.01706 T where T is in Kelvin. (Ref . 2 . 1. 3 ) The equilibrium quantities of the boric acid, H3 B0 3 , species are calculated iteratively based on the following. [B (OH) 4-1 I [B (OH) 3] [OH-] = 01,1 [B2 (OH) 7-1 I [B*(OH) 3] 2 [OH-] = 02,1 *' [B3 (OH) 10 -1 I [B (OH) 3] 3 [OH-] = 03,l [B4 (OH) 1" --1 / [B (OH) 3 ] 4 [OH-]2 = 0", 2 where. the molal equilibrium* quot;i.ents, 0 1, 1 , 0 2, 1 , 0 3, 1 and 0 4 .~, of* boric acid are calculated* as follows. log 01,1 = 1573. 21/T + 28. 6059 + 0. 012078 T - 13. 2258 log T
+ (0.3250 - 0 . 0 0 0 3 3. T) I - 0
- 0 912 I 1* 5 log 02,1 = 2756.1/T - 18.966 + 5.835 log T.
log Q3,l = 3339.5/T - 8.084 + 1.497 log T log 04,2 = 12820.0/T -134.56 + 42.105 log T arid T is in Kelvin (Ref .
- 2 . 1. 5 )
The eqliil~_brium qiiantities of the phosphoric acid, H3 P0 4 , species. *
- are calcuiated. iteratively based on the following.
YH2Po4 CH2P04 '"l . Ye [H+]. * / YHaPo" CHaP04] = K1 YHPa" [HP04--] Ye [H*] I YH2Po4 CH2Po4-1 = ~* YPo-l [P04 -~-] Ye [H+] / YHP04 [HP04 --1 = Kl where the dissociation constants,* K1 , ~ and K3 , of phosphoric acid are as follows. pK1 = -log K1 = 583.01/T - 2.715 + O.Ob9801 T. pK2 =-log K2 = 1272.7/T - 1.154 + 0.01368 T
PALISADES NUCLEAR PLANT EA-FC-949-01 Rev 3 Sheet 18 pK3 =*-log K3 = 12.36 and T is in Kelvin. (Refs. 2.1.4 & 2.1.6) The borated water charge balance error ~CBEB) represents the sum of the ionic charges of all species pertinent to boron and water in the solution, and is defined as* follows. CBEB = [ir+J - [OH-) - [B (OH) 4-) - [B 2 (OH) 7 -) - [B 3 (OH) 10 -) -2 (B 4 (OH) 14 --) where the ionic charge of H* is 1, the ionic charge of each of Off, B (OH) 4- , B2 (OH) 7- and B3 (OH) 10 ~ is* -1, and the ionic charge of B4(0H)14-- is -2. (Ref. 2.1.5) The trisodium phosphate charge h~lance error (CBEP) represents , the sum of the ionic charges of all species pertinent to " trisodium phosphate in the solut'ion, and is defined as follows;;\ CBEP = [Na*] - [H2 P0 4c] -2 [HP0 4 --1 -3 [P04---1 where the ionic charge of Na* is 1, and the ionic charges of H2 P0 4 -
, HP0 4 -- and Po 4 --~ are -i, -2 and -3 respectively.
(Ref . 2 . 1. 4 ) All species arid ions in the solution are in equilibrium when the sum of CBEB and CBEP reduces to zero. The charge balance error
- (CBE) is defined as the relative. error in the equilibrium between
- CBEB_ and CBEP, and' is calculated as follows.
CBE = abs (CBEB+CBEP) I ((abs (CBEB)+abs (CBEP)) /2) All speci~-~t- and ions in the solution are in equilibrium when the charge.balance error (CBE) reduces to zero. (Ref. 2.1.4)
PALISADES NUCLEAR PLANT EA-FC-949-01 Rev 3 Sheet 19 5.2 Computations A parametric analysis is performed to determine the required quantity of pure TSP as a function of the sump water temperature, and the desired equilibrium pH value, for both the maximum and the minimum quantities of boron and borated water in the sump. The analysis is performed using a one-shot computer program which is based on the methodology described in Section 4.1 and the equations included in Section 5.1. Based on design input 2.2.1, a minimum borated water quantity of 2437820 lb and a corresponding boron concentration of 1436 ppm' are considered. These result in a minimum quantity of boron in. the sump. The quantities of pure TSP required to raise the pH value to 7.0, 7.2, 7.4, 7.6, 7.8 and 8.0 are calculated for a sump temperature of 77 °F. The analysis is repeated for sump temperatures of 100 °F, 120 °F, 140 °F, 160 °F,* 180 °F, 200 °F, 220
°F and 283 °F. Also, based on design input 2.2.2, a maximum .borated water quantity of 3392395 lb and a maximum boron concentration of 2852 ppm are considered. These result in a maximum quantity of boron in the sump. The analysis is repeated for all the above pH and temperature values. For. all cases, the charge balance error (CBE) is maintained below 10- 4 %. The computer output for all cases considered above is included in Appendix B, and the resuits are summarized in Tables 1 and 2 .
PALISADES NUCLEAR PLANT EA-FC-949-01 Rev 3 Sheet 20 Table 1 - Reguired guantity of pure TSP 1 in lbl for the case of maximum guantities of boron and borated water Eguilibrium t;!H 7.0 7.2 7.4 7.6 7.8 8.0 Temt;! 1°F Quantity of TSPI lb 77 10412 16372 24699 35319 47901 62154 100 10249 16245 24705 35598 48637 63604 120 9899 15821 24300 35387 48858 64547 140 9454 15271 23771 35105 49118 65685 160 8894 14536 22976 34502 49040* 66.~99 180 8267 13668 . 21958 33584 48578 66~\77 200 7557 12613 20587 32114 47367 66321 220 6873 11580 19208 30584 46044 .* . 65608 283 4693 7960 13599 22905 37009 56424 Table 2 - Regyired gyantity of I;!Ure TSP 1 in lb1 for the case of minimum guantities of boron and borated water Egyilibrium t;!H 7.0 7.2 7.4 7.6 7.8 8.0 Temp 1 °F Quantit:l of TSPI lb 77 .. 1437. 2431 4056 6547 10081 14750 100 - 1502 2551 4276 6937 10741 15.808 120 ':c*l532 2611 4399 7184 11203 16613 140 1542* : 2'637 4472- 7366 11597 17358 160 1528 2622 44.77 7445 11851 17927 180 1494 2571 4417 7419 11951 18288 200 1437 2475 4274 7248 i1820 18313 220 1370 2361 4097 7017. 11596 *18207 283 1081 1841 3189 5557 9527 15677
PALISADES NUCLEAR PLANT EA-FC-949-01 Rev 3 Sheet 21
- 6. 0 CONCLUSION*
6.1 Summary of Results A parametric analysis is performed to determine the required quantity of pure TSP as a function of the sump water temperature and the_ desired equilibrium pH value, for both the maximum and the minimum quantities of .boron and borated water in the sump. The _results show that for the maximum quantities of boron and borated water in the sump, the quantity of pure TSP required to raise the solution ~H to 7.0 is 10412 lb at 77 °F and 4693 lb at 283 °F. The results also show that for the minimum quantities of
,::\
boron and borated water in the sump, the quantity of pure TSP _.: , required to raise the.solution pH to 8.0 is 14750 lb at 77 °F and 15677 lb at 283 °F. Therefore, a quantity of pure TSP within the range of 10412 lb to 14750 lb would maintain the sump pH value within the range of 7. o to 8. o for both the maximum and the* minimum quantities of boron and borated water at all temperatures within the considered temperature range. 6.2 Conclusions It is coricluded that for both 3J92395 lb 6f water with 2852 ppm boron and,2437020- lb. of water with 1436 ppm boron, at temperature values "wi~~in_:~he range of_ 77 °F to 283 °F, a pure TSP quantity of 10412 lb t_5**-14750 :lb would maintain the sump pH within the range of* 7. o to 8 ~ 0-.. These values bound the maximum and minimum post-LOCA sump conditions. The acceptable qucintity of commercial TSP is determined in Appendix C .
- PALISADES NUCLEAR PLANT -EA-FC-949-01 Rev 3 Sheet 22 0 t.i AL- 'PAG E:
- 6.3 Recommendations It is recommended that the following be considered in locating the TSP baskets.
- Distribution to ensure contact with flooding.
Proximity to drain lines to the sump for rapid pH rise. Proximity to non-seismic structures. Impact on accessibility to equipment and walkways.
- Impact on fire barriers.
- 6. 4. Limitations The al:;>ove results are limited to the assumptions discussed in Section 3.0.
-* PALISADES NUCLEAR PLANT EA-FC-949-01 Sheet Al Rev 0 APPENDIX A VALIDATION OF COMPUTER PROGRAM Validation certification ............ ." ......... ~ .........* ..... A2 Listinq of computer proqram .****.* ~ ****..******.*******.** AJ-A6 Computer run for- validation case ..**.*.*.*********.**.*.*.... A7 Hand calculation for validation case ...................... A8-A14
PALISADES NUCLEAR PLANT EA-FC-949-01 Rev 3 Sheet A2 VALIDATION CERTIFICATION SOFTWARE TITLE: T'S P
~~~"T-"~.,.-~~~~~---,-~~~
VALIDATED BY: DATE: REVIEWED BY: DATE: APPROVED BY: DATE: METHOD OF VALIDATION: A hand calculation is performed in order to validate the computer . program developed for this analysis~ The results of the hand calculation are compared with those obtained using the computer program for the following typiqal case. -" A water quantity of 3082961 lb with 2520 ppm boron, at 180 °F ;; :1s considered. The TSP quantity-required to raise .the pH of the solution to 7.0 is calculated. VALIDATION DOCUMENTS:
- Listing of computer program - Computer run for validation case - Hand calculation for validation case All above_ documents are included in this Appendix, Appendix A*
C CONTAINMENT SUMP pH CONTROL USING TRISODIUM PHOSPHATE c ---~------------------------------------------------- IMPLICIT REAL *8 (A-H,O-Z) REAL *8 MWB,MWTSP,NA,LQB11,LQB11I,LQB21,LQB31,LQB42 REAL *8 IST,IS,PPMB,PPMTSP,LGH,LGOH,LGP INTEGER *4 OPTN1,0PTN2,0PTN3 CHARACTER *60 TITLE OPEN(UNIT=8,FILE='TSP.DAT') OPEN(UNIT=lO;FILE='TSP.OUT')
.READ(8,100)TITLE READ(S,*)PH,TF,A,B READ(8,*)0PTN1,0PTN2,0PTN3 READ(8,*)TMH20I,ROH20,PKH20 READ ( 8, *) TMB, PPMB, MWB, LQBllI, LQB21, LQB31, LQB4 2 .
READ(8,*)TMTSP,PPMTSP,MWTSP,ROTSP,PKP1,P~P2,PKP3 IF (OPTNl.EQ.O) GOTO 10 T = (TF-32)/l.8+273.15 PKH20 = 4470.99/T-6.0875+0.01706*T PKPl = 583.Ql/T-2.715+0.009801*T PKP2 = 1272.7/T-l.154+0.01368*T PKP3 = 12.36 LQBllI = 1573.21/T+28.6059+0.0li078*T-13.2258*DLOG10(T) LQB21 = 2756.l/T-18.966+5.835*DLOG10(T) LQB31 = 3339.5/T-8.084+1.497*DLOG10{T) LQB42 = 12820/T-134.56+42.105*DLOG10(T) IF(TF.GE.220) ROH20 = 59.61+(57.92-59.Gl)*(TF-220)/(280-220)
.IF(TF.LE.220) ROH20 = 60.57+(59.61-60.57)*{TF-180)/{220-180)
IF(TF.LE.180) ROH20 = 61.38+{60.57-61.38)*{TF-140)/{180-140) ., IF(TF.LE.140) ROH20 = 62.00+(61.38-62.00)*(TF-100)/(140-100) . .,'- IF{TF.LE.100) ROH20 = 62.22+{62.00-62.22)*{TF-80)/(100-80) . 10 IF (OPTN2.EQ.O) GOTO 50 20 IF {OPTN3.EQ.O) TMTSP = TMH20I*PPMTSP/10**6 IF (OPTN3.EQ.O) TMB = TMH20I*PPMB/10**6 IF (OPTN3.EQ.l) PPMTSP = 10**6*TMTSP/TMH20I IF (OPTN3. EQ.1) .PPMB = 10**6*TMB/TMH20I TMH20 = TMH20I+TMTSP*(12*18/MWTSP) TLH20 = (TMH20/ROH20)*(12**3)*(2.54**3)/1000 PKOH = PKH20-PH . PHT = 7.0 LQBll = LQBllI IST = 0.01 GOTO 40 30 PH = PHT * . PHT = PHT+ ( CBEP+CBEB) . PKOH = PKH20-PHT. IF (OPTNl.EQ*.-o) GOTO 40 IST = IS * *-c- . IS = ( BOH4+B20H7 +B30H10+4 *B40Hl4+H2P04+'4 *HP04+9 *P04+3 *NA+H+OH) / 2 LQBll = LQB11I+(0.325-0.00033*T)*IS-0.0912*IS**l.5 LGOH = -A*IS**0.5/(l+B*3.5*IS**0.5)
.PKOH = PKH20-{PH-LGOH) 40 GMPLB = TMB*453.59/(MWB*TLH20)
H3B03 = 0.95*GMPLB GOTO. 44 PALISADES NUCLEAR PLANT EA-FC-949-01 Rev. 0 42 H3B03 = HJB03*{GMPLB/TGMPLB) Sheet A3 44 RBll = lO**{LQBll-PKOH) RB21 = 10**(LQB21-PKOH}
. RB3 l = 10** (LQB3 l-PKOH) PALISADES NUCLEAR PLANT RB42 = 10**(LQB42-2*PKOH) .EA-FC-949-01 Rev. 0 * .
BOH4 = H3B03*RB11 Sheet A4 B20H7 ~ H3B03**2*RB21 B30Hl0. = H3B03**3*RB31 B40Hl4 = H3B03**4*RB42 TGMPLB = H3B03+BOH4+2*B20H7+3*B30Hl0+4*B40Hl4 ERR= ABS((TGMPLB-GMPLB)/GMPLB) IF (ERR.GT.0.000001) GOTO 42 LGH = -A*IS**0.5/(l+B*9*IS**0.5) H = 10**(-PHT-LGH) OH = 10**(-PKOH) CBEB = H-(OH+BOH4+B20H7+B30H1Q+2*B40Hl4) GMPLTSP = TMTSP*453.59/(MWTSP*TLH20) LGP = -A*IS**O.S/(l+B*4*IS**0.5) RPl = lO**(PHT-PKPl-LGP) RP2 = 10**(PHT-PKP2-3*LGP) RP3 = 10**(PHT-PKP3-S*LGP) NA = GMPLTSP H3P04 = GMPLTSP/(l+RPl+RPl*RP2+RPl*RP2*RP3) H2P04 = H3P04*RP1 * . HP04 = H2P04*RP2 P04 = HP04*RP3
. CBEP = 3*NA-(H2P04+2*HP04+3*P04)
ERR = ABS ( ( CBEB+CBEP)
- 2 / ( CBEB-CBEP) )
- IF (ERR.GT.0.000001) GOTO 30 .-:\
ERR= ABS((IS-IST)*2/(IS+IST)) IF (ERR.GT.0.000001) GOTO 30 .~*-. TVTSP = TMTSP/ROTSP GOTO 90 50 TLH~O = (TMH20I/ROH20)*{12**3)*(2.54**3)/1000 IF (OPTNJ.EQ.O) TMB = TMH20I*(PPMB/10**6) IF (OPTN3.EQ.l)' PPMB = 10**6*TMB/TMH20I TMTSP =*TMB PKOH = PKH20-PH LQBll = .LQBllI
!ST = 0.01 GOTO 70 60 TMH20 = TMH20I+TMTSP*{l2*18/MWTSP)
TLH20 = (TMH20/ROH20)*{12**3)*(2.54**3)/1000. TMTSP = TMTSP*ABS(CBEB/CBEP) IF (OPTNl. EQ. O). GOTO 70 IST =IS .. _ . . . . IS= (BOH4+B20H7+B30Hl0+4*B40Hl4+H2P04+4*HP04+9*P04+3*NA+H+OH)/2 LQBll = LQB11I+(0.325-0.00033*T)*IS-0.0912*IS**l.5 LGOH = -A*IS~*0.5/(l+B*3.S*IS**0.5) PKOH = PKH20-(PH-LGOH) 70 GMPLB = TMB*453.59/(MWB*TLH20) H3B03 = 0.95*GMPLB GOTO 74 72 H3B03 = H3B03*(GMPLB/TGMPLB) 74 RBll = lO**{LQBll-PKOH) RB21 = 10**(LQB21-PKOH) RB31 = 10**(LQB31-PKOH) RB42 = 10**(LQB42-2*PKOH) BOH4 = H3B03*RB11 B20H7 = H3B03**2*RB21
B30Hl0 = H3B03**3*RB31 PALISADES NUCLEAR PLANT B40H14 = H3B03**4*RB42 EA-FC-949-01 Rev. 0 TGMPLB = H3B03+BOH4+2*B20H7+3*B30H10+4*B40H14 Sheet A5 ERR= ABS((TGMPLB-GMPLB)/GMPLB) IF (ERR.GT.0.000001) GOTO 72 LGH = -A*IS**0.5/(l+B*9*IS**0.5) H = 10**(-PH-LGH) OH = 10** C-PKOH) CBEB = H-(OH+BOH4+B20H7+B30H10+2*840H14) GMPLTSP = TMTSP*453.59/(MWTSP*TLH20) LGP = -A*IS**0.5/(l+B*4*IS**0.5) RPl = lO**(PH-PKPl-LGP) RP2 = 10**(PH-PKP2-3*LGP)- RP3 = 10**(PH-PKP3-5*LGP) NA = GMPLTSP . H3P04 = GMPLTSP/(l+RPl+RPl*RP2+RPl*RP2*RP3} H2P04 = H3P04*RP1 HP04 = H2P04*RP2 P04 = HP04*RP3 CBEP = 3*NA-(H2P04+2*HP04+3*P04) ERR = ABS ( (CBEB+CBEP) *2/ (CBEB-CBEP)) IF (ERR.GT.0.000001) GOTO 60 ERR= ABS((IS-IST)*2/(IS+IST)) IF (ERR.GT.0.000001) GOTO 60 TVTSP = TMTSP/ROTSP PPMTSP = 10**6*TMTSP/TMH20I GOTO 90 90 WRITE(lO,lOO)TITLE WRITE(l0,*)'-------~-------------------------------------------- 1 IF (OPTNl. EQ. 0)
&WRITE(lO,*)'Option 1 = o (fixed pK values are used)'
IF (OPTNl. EQ.1)
&WRITE(lO,*)'Option 1 = 1 (pK values are calculated)'
IF (OPTN2.EQ.O)
&WRITE(lO,*)'Option 2 = o (quantity of TSP is calculated)'
IF (OPTN2. EQ. l}
&WRITE(lO,*)'Option 2 = 1 (equilibrium pH is calculated)'
IF (OPTN3.EQ.O)
&WRITE(lO,*)'Option 3 = o (input quantity is in PPM)'
IF (OPTN3.EQ.1)
&WRITE(lO,*)'Option 3 = 1 (input. quantity is in lb}'
WRITE(lO,*)'-------------------------------~--------------------' WRITE(lO,*)'Temperature, deg F =',TF WRITE(lO,*)'A (constant of activity} =',A WRITE ( 10, *1 'B - (constant of activity) =' , B WRITE(lO,*[!Solution ionic strength =',IS WRITE ( 10, * )_~' ---------------------------------------------------- 1 WRITE(lO,*)'Total initial mass of water, lb =',TMH20I WRITE(lO,*) 'Total final mass of water, lb =' ,TMH20 WRITE(lO,*)'Density of water, lb/cuft =',ROH20 WRITE(lO,*)'pK (water) =',PKH20 WRITE(lO,*)'pK (OH) =',PKOH WRITE(lO,*)'Log (9amma OH) =',LGOH WRITE(lO,*)'Equilibrium pH =',PH WRITE(lO,*)'Log (gamma H} =' ,LGH WRITE ( 10 I*) I------------.---------------------------------------- I WRITE(lO,*}'Total mass of Boron, lb =',TMB WRITE(lO,*)'PPM of Boron =',PPMB WRITE(lO,*)'MW of Boron =' ,MWB WRITE(lO,*)'Log Ql,1 (Boric acid) =',LQBll WRITE(lO,*)'Log Q2,l (Boric acid) =' ,LQB21
WRITE(lO,*)'Log Q3,l (Boric acid) =' ,LQB31 WRITE(lO,*)'Log Q4,2 (Boric: acid) =',LQB42 WRITE(lO,*)'RBll =',RBll WRITE(10,*)'RB21 =',RB21 WRITE(10,*)'RB31 =',RB31 WRITE(l0,*)'RB42 =',RB42
.WRITE(lO,*) 'H3B03 . =' ,H3B03 WRITE(10,*)*'B(OH)4 =' ,BOH4 WRITE(l0,*)'B2(0H)7 =',B20H7 WRITE(10,*)'B3{0H)l0 =',B30H10 WRITE(10,*)'B4{0H)14 WRITE(lO,*)'CBEB
= 1 ,B40H14
=',CBEB WRITE(l0,*)'----~----------------------------------------------- 1 WRITE(lO,*)'Total mass of dodecahydrate TSP, lb =',TMTSP WRITE(lO,*)'PPM of dodecahydrate TSP =',PPMTSP WRITE(lO,*)'MW of dodecahydrate TSP =',MWTSP WRITE(lO,*)'Log (gamma H2P04) =',LGP WRITE(lO,*)'pKl (Phosphoric acid) =' ,PKPl
. WRITE(lO,*)'pK2 (Phosphoric acid) =',PKP2 WRITE(10,*)'pK3 (Phosphoric acid) =',PKP3 WRITE(lO,*)'RPl . =',RPl WRITE(l0,*)'RP2 =',RP2 WRITE(10,*)'RP3 =',RP3 WRITE(10,*)'H3P04 =',H3P04 WRITE(10,*)'H2P04 =',H2P04 WRITE(10,*)'HP04 : 1 ,HP04 WRITE(10,*)'P04 =',P04 WRITE(lO,*)'NA =',NA WRITE ( 10, *) 'CBEP : =', CBEP ..
WRITE(l0,*)'-----------------~--~----------~------------------~7' WRITE(lO; *)'Charge balance error. . =',ERR * :* WRITE(lO,*)'--------------------~---~~---~-------~--------------' 100 FORMAT(A60) END PALISADES NUCLEAR PLANT EA-FC-949-01 Rev. 0 Sheet A6
CONTAINMENT SUMP pH CONTROL USING TRISODIUM PHOSPHATE Option 1 = 1 (pK values are calculated) * . Option 2 = o (quantity of TSP is calculated)
- ~~:~~~-=-=-~~-i~~~~:-~~~~:~=~-~~-~~-::~~------------
Temperature, deg F * * * .* = 180.000000000000000 A (constant of activity) = 5.800000000000000E-001 B (constant of activity) 3.432000000000000E-001 Solution ionic strength = l.633442203218785E-002 Total initial mass of water, lb = 3082961.000000000000000 Total final mass of water, lb = 3086217.440501287000000 Density of water, lb/cuft = 60.569999694824220 pK (water) = 12~556297435655330 pK (OH) = 5.492035404004799 Log ('1amma OH) = -6.426203165053562E-002. Equilibrium pH 7.000000000000000 Log (gamma H) = -5.314690521715325E-002 Total mass of Boron, lb. = 7769.061720000000000 PPM of Boron = *2520.000000000000000 MW of Boron = 10.810000000000000 Log Ql,l (Boric acid) = 3.593395599495209 Log Q2,l (Boric acid) = 3.672769116099559. Log Q3,l (Boric acid) = 5.131562751601854 Log Q4,2 (Boric acid) = 8.911380408079452 RBll = 1.262874504187063E-002 RB21 = l.516120472287394E~002 RB31 = 4.360410207128128E-001
~~ \
RB42 8.458816428066488E-003 H3B03 .- 2.098082500769023E-001 B(OH)4 = 2.649614897902234E-003 2(0H)7 = 6.673886785937512E-004 3(0H)l0 = 4.027124277042039E-003 B4(0H)l4 = l.639078849090982E-005 CBEB = -7.380017218923331E-003 Total mass of dodecahydrate TSP, lb = 5730.884196124335000 PPM of dodecahydrate TSP = 1858.889618170433000 MW of dodecahydrate TSP = 380.130000000000000 Log (gamma H2P04) = ~6.306303326676979E-002 pKl (Phosphoric acid) = 2.408564909255364 pK2 (Phosphoric acid) = 7.288807119913147 pK3 (Phosphoric acid) RPl .
=
12.359999656677250 45133.407574352290000 RP2 =. 7.950271864616454E-001 RP3 = 9.d22263560423932E-006 H3P04 - 5.850094564179589E-008 H2P04 = 2.640347023136203E-003 HP04 --~'
= 2.099147665086356E-003 P04 = l.893906348665761E-008 NA = 4.739572128231687E-003 CBEP = 7.380017214195685E-003 ----------------~--------~---------------------------
Charge balance error = 6.286122670942580E-009
--------------------~~------_------------------------
. PALISADES NUCLEAR PLANT EA-FC-949-01 Rev. 0 Sheet A7
P~LISADES NUCLEAR PLANT EA-FC-949-01 Rev 0 Sheet As Hand Calculation 3082961 lb of water with 2520 ppm boron, at 180 ~F (355.37 K), is considered. The TSP quantity required to raise the pH of the solution to 7.0 is calculated as follows.
- The molecular weight of trisodium phosphate dodecahydrate, MWTsPi is 380.13, and that of boron, MW8 , is 10.81. (Ref. 2.1~4) - The approximate effective ionic radii of H* and OH- in aqueous solutions are 9. O A and 3. 5 A respectively, and that of H2 P0 4- ,
HP0 4 -- and P0 4 ___ is 4.0 A. (Ref. 2.1.4)
- At 180 °F, the density of water, Pwi is 60.57 lb/ft 3 (Ref. _2.1.2) - At 180 °F, the constants A and B in the Debye-Hlickel equation are 0.5800 and 0.3432 respectively. (Ref. 2.1.4)
(1) Assume a solution ionic strength, I, of 0.016334.
- The individual activity coefficient, yi, is
-log Yi = (A z/ I 0* 5) / (l+(B a: r 0
- 5 )) (Ref. 2.1.4)
The activity coefficient of H~, YH, is
-log yH={0.5800) (1) 2 (0.016334)c.s/(l+{0.3432) (9) (0.016334) 0
- 5 )
log YH~ -0.053146* YH= 0. 8~4818
- The activity coefficient of OH-, YoHi is
-log YoH= ( 0
- 5 8 0 0) ( 1 ) 2 ( 0. 016 3 3 4) 0
- 5 / ( 1 + ( 0. 3 4 3 2) ( 3 . 5) ( 0 . 016 3 3 4) 0
- 5 )
logy~= -0.064261 YoH= 0. 86246
- The activity coefficient of H~P0 4 , YH3Po 4 , is
PALISADES NUCLEAR PLANT EA-FC-949-01 Rev 0 Sheet A9
-log_ YH 3e04 =(0.5800) (0) 2 (0.016334) 0 5/(l+(0.3432) (4) (0.016334) 0 5) log YH3eo4= O YH3P04= 1 - The activity coefficient of H2 P0 4 - , YH 2 e04 , is -log YH 2 e04 =(0.5800) (1) 2 (0.016334) 0
- 5 /(l+(0.3432) (4) (0.016334) 0 5) log YH 2 e04 = -0. 063062 YH2eo4= 0. 864844
- The activity coefficient of HP0 4 -- , YHeo 4 , is -log y Heo 4= ( o. 5 8 oo) ( 2) 2( o
- o 16 3 3 4) :;
- 5 / ( 1 + ( o . 3 4 3 2) ( 4) ( o . o 16 3 3 4) 0 5) log YHro 4= -0.252249 YHP04= 0. 55943 68
- The activity coefficient of P0 4 ___ , Ye 04 , is
-log Yeo 4={0.5800) {3) 2 (0.016334) 0
- 5 /(l+(0.3432) (4) (0.016334) 0
- 5)
- log Yro 4= -0.567561 Yeo 4 = 0. 270669
- The ionic activity product constant of water, KN, is pK..,= 4470.99/T - 6.0875 + 0.01706 T (Ref. 2.1.3) pK..,= 4 4 7 o. g 9 / 3 5 5. 31 - 6
- o 8 7 5 + co. o17o6) c3 5 5
- J 1) pK..,= 12. 5563 K..,= 10-12.5563 = (2.7778) (10)-13
- The equilibrium quantities of H. and OH- are YH [tt*] =* io-pH (Ref. 2. 1. 4)
(lO)-o .. o5H46 [H.]= 10 -1 [W]= lo-1+0.053146 = (1.13018) (l0)-1 YoH [Off] YH [H+] = K.., (Ref. 2.1.4) YoH[Off]= (2.7778) (10)- 13 (10); = (2.7778) (10)- 0 (10)-0.064261 [OH-]= (2.7778) (10)-,; [Off]= (2.7778) (10)- 6.. 0* 064261 = (3.2208) (10)- 6
PALISADES NUCLEAR PLANT EA-FC-949-01 Rev 0 Sheet A10 (2) Assume a TSP guantity of 5730.884 lb
- Total mass of boron is 6
Ms= M.., ppm /10° = (3082961) (2520)/(10) = 7769.06 lb
- Total final mass of water is M..,, final= M.,.,, initial + MTS? ( 216 / 3 8 0
- 13)
M..,,final= 3.082961+5730.884(216(380.13)= 3086217.4 lb
- Total final volume of water is
_Vw,fina1= M.,,finai/Pw vw,fina1= 3086217 /60. 57= 50952. 897 ft~ = 1442825 liters
- Concentration of boron is Molalitye = Ms/ (Vw,final MWe)
Molality8 = (7769.06) (453.6)/.((1442825) (10.81)) Molality 8 = 0.22594 grammole/liter Concentration of TSP is MolalitYTsP = Mrse/ (V..,,final MW:sl') MolalitYtse = (5730.884) (453.6)/((1442825) (380.13)) MolalityTSP = o. 00473968 grammole/liter
- The dissociation constants of phosphoric acid are pK 1 = 583.01/T - 2.715 + 0.009801 T (Ref. 2.1.6) pK 1 = 5ip.Ol/355.37-2.715+(0.009801) (355.37) pK 1 = 2. 408553 K1 = 10t2
- 408553 = (3.903435) (10)"" 3 1272.7/T - 1.154 + 0.01368 T (Ref. 2.1.6) pK2 = 1272.7/355.37 - 1.154 + (0.01368) (355.37) pK 2 = 7.288799 K2 = 10- 1
- 288799 = (5.142816) (10)-~
pK 3 = 12.36 (Ref. 2.1.4)
= 10- 12 " 36 = 13 K3 (4.36516) (1-0)-
PALISADES NUCLEAR PLANT EA-FC-949-01 Rev 0 Sheet All (3) Assume H3 P0 4 concentration of (5.85009) (10)-~ grammole/liter. The equilibrium quantities.of phosphoric acid species are YH2Po4(H2P04-) YH[W] I YHH04[H,POd = K! (Ref. 2.1.4} * (0.864S44) [H2 P0 4-J (10)-'/((l} (5.85009} (l0)- 0
} = (3.903435}'(10)- 3
[H2 P0 4 -]= (3.903435} (10)- 3 (1) (5.85009} (10)- - 8
/((0.864844) (10)- 7 )
[H2P0 4 -]= (2.640412} (10)- 3 YHP04(HP04--], YH[W] I YH2Po4(H2PO/] = K2 ' (Ref. 2.1.4)
*co.5594368) [HPo~~-J c10)- /((0.864844) (2.640412} cio)- }=
1 3 (5 .14281) c10) ~ 0 [HP0 4--]= (0._864844) (2.640412) (10)- 3 (5.14281} (10)-d 1 ( (0.5594368) (10}-:) [HP0 4--]= (2.099224) (10)- 3 Ypo4(P04 ___ ] YH[H+f I YHPodHP04--] = K3 (Ref. 2.i.4) (0.270669) (P0 4___ ] (10)- 7 /((0.5594368) (2~099224) (10)- 3 )= *\ 13 (4.36516} (10)- [P0 4 ___ ]= (0.5594368} (2.099224) (10)- 3 (4.36516)*(10)- 13 7
/((0.270669} (10)- )
[P0 4 ___ ]= (l.893963) (10)-; TSP c;:oncentration based on the above quantities is MolalitYrsP = [H 3 PO~]+[H 2 PO~-]+[HP0 4 --]+[P0 4 ___ l MolalitYrsP= (S.85009} (10)-.;+(2.640412) (10)-3
+(2. 099224} (10)- 3 +(1. 893963) (10)- 8 Molalityr~p= o. 004 7397l3 _grainmole/ liter *
- * - < '~ - ~
Error -~tl~_-- to -assumption (3) above is - Error ~>-co. 004739713-o. 004 73968) (loo) /o ~ 04 73968= o. 00069% Therefore. assumption (3) above is verified~ - The molal equilibrium quotients of boric acid are
*1og Qi,i = 1573.21/T + 28.6059 + 0.012078 T - 13.2258 log T
+ (0.3250 - 0.00033 T) I - 0.0912 Ii. s log Q2,l = 27561.1/T - 18~966 + 5.835 log T
PALISADES NUCLEAR PLANT EA-FC-949-01 Rev 3 Sheet Al2 log Q 3 , 1, = 3339~5/T - 8.084 + 1.497 log T log Q4 ;.i~ .."7 12 8 2 O *. O/ T -13 4
- 5 6 + 4 2
- 1O5 1 og T (Ref .
- 2
- l
- 5 )
log Q 1 , 1 = 1573.21/355.37+28.6059+(0.012078) (355.37)
-(13.2258) (log 355.37)*
+(0.3250-(0.00033) (355.37)) (0.016334)
-(0.0912) (0.016334)1.S' log Q1 ,i= 3.59343 Ql. l = 3 9 21
- 2 9 9
*1og Q2 , 1 = 2756.1/355.37 - 18.966 + 5.835 log 355.37 log. Q2 ,i = 3. 6728 Q2. l = 4 7 0 7
- 6 0 5 .
log Q 3 , 1 = 3339. 5/355. 37 - 8 ~ 084 + 1. 497 log 355. 37 log Q3 , 1 = 5.13162 Q3,l = 135400.42 log Q4 , 2 = 12820.0/355.37. -134.56 + 42.105 log 355.37 log Q4 , 2 = 8.91149 *
- (4)
Q4,2 = 815624010 Assume H 3B03 concentration is 0.2098083 grammole/liter
- The equilibrium quantities of boric acid species are
[B(OH)4-] I [B(OH)3) [Off]= Qi,: [Bz(OHh-J I [B(OH) 3)L [OH-] = Q2,l. [BJ(OH}i 0 -] I [B(OH) J] 3 [OH-] = Q3,l [B4(0H) 14 --L I [B(OH)J] 4 . [OH-] 2 ~ Q4,L (Ref. 2.1.5). [B(OH).4:~L_::;:~:_(392L299) {0.2098083) (3.2208) {10)_ 6 . [B(OHh?J:' ~::: (2.64982) {10)~; [~ 2 .(0H>>.~~~y~-_:: _( 4 707. 605) ( O. 209.8083) 2 { 3. 2208) ( 10) -.s [Bz(OH)*;~]- ~.. (6.67_435) (10)- . 4 [B 3 (0H)i~-] ~ * {1J5400.42) (0.2098083) 3 (3.2208) {10)-~ [BdOH}io-] = (4.02765) (10)-> [Bd0H)i 4 "'-] - (815624010) {0.2098083) 4 ((3.2208) (10)- 6 ) 2 [BdOH) 14 --] *= (1.639488) {10)- 5
PALISADES NUCLEAR PLANT EA-FC-949-01 Rev 0 Sheet Al3
- Boron concentration based on the above quantities is Molali ty8 = [ B (OH) 3 ] + [ B (OH) 4 - ] +2 [ B2 (OH) 1 - ] +3 [ B3 (OH):: - ] +4 [ B4 (OH) 14 --]
Molality 8 ={0.2098083)+(2.64982) (10)- 3 +{2) (6.67435) (10)- 4
+{3) (4.02765) (10)- 3 +(4) (1.639488) (10)- 5 Molality8 =0.2259415 granunole/liter
- Error due to assumption (4) above is Error= (0.2259415-0.22594) (100)/0.22594 = 0.00066%
Therefore. assumption (4) above is verified.
- Na concentration is
[Na+)= (3) (MolalitYrse) [Na+)= (3) (0.004739713) [Na+)= 0.0142191 granunole/liter - Trisodium phosphate charge balance error, CBEP, is CBEP= [Na+] - [H 2 P0 4- ] -2 [HP0 4--] -3 [ P0 4--- ] CBEP=(0.0142191)-(2.640412) (10)- 3 -(2) (2.099224) (10)- 3
-(3) (1.893963) (10)- 8 CBEP=0 .. 007380183.
- Charge,_ *:pa lance error, CBE, due to assumption ( 2) above, is CBE=abs{CBEB+CBEP)/{(abs(CBEB)+abs{CBEP))/2) CBE= ( 6
- 2 ) ( 10 ) - 1 / ( 0
- O0 7 3 8 0 4 9 )
CBE= ( 8. 4) ( 10) -s Therefore. Assumption C2l above is verified
- - - -~-----~-
PALISADES NUCLEAR PLANT EA-FC-949-01 Rev 3 Sheet A14 l="i"'~\ °"~ A f'fH'....V\J~ ~ A
- The ionic strength of the solution is I = (c 1 z 12 + c 2 z/ + * * * * * * * +en Zn 2 )/2 (Ref. 2.1.4)
I = ( [Na* l + [ W l + [OH- l + [ H2 P0 4 - l + [ HP0 4 --l ( 2) + [ P0 4 ...... ;,. l ( 3) + [ B (OH) 4 - l 2 2
+[B 2 (OH) 1 ... l +[B3'0H) 10 -] +[B 4 (OH.) 14 --l ( 2) 2 ) /2 I = ((0.0142191)+(1.13018) (10)- 7 +(3.2208) (10)- 6 +(2.640412) (10)- 3
+(2.099224) (10)- 3 (4)+(1.893963) (10)- 8 (9)+(2.64982) (10)- 3
+(6.67435) (10)- 4 +(4.02765) (10)- 3 +(1.639488) (10)- 5 (4) )/2 I = 0.016335 Error due to assumption (1) above is Error= (0.016335-0.016334) (100)/0.016334 = 0.0061%
Therefore. assumption Cll above is verified. Based on the above, assumption~ 1 through 4 are verified, andthe TSP quantity required to raise.the pH of the solution to 7.0 ~s S" 7 3 0
- 8 8 4 lb
- This is in good ac;Jreement with the quantity obtained using the computer program. This demonstrates. the validity of the program.
PALISADES NUCLEAR PLANT EA-FC-949~01 Rev 3 Sheet Bl APPENDIX B COMPUTER RONS CTSPl
' J_
PALISADES NUCLEAR PLANT, EA~FC-949-01, REV. 3, SHEET B 2 NTAINMENT SUMP pH CONTROL USING PURE TRISODIUM PHOSPHATE, DODECAHYDRATE ption 1 = 1 (pK values*are calculated) Option 2 = O (quantity of TSP is calculated)
- Option 3 = O (input quantity is in PPM)
Temperature, deg F = 77.000000000000000 A (constant of activity) =* S.115000009536743E-001 B (constant of activity) = 3.291000127792358E-001 Solution ionic strength = 2.838506156755540E-002 . Total initial mass.of water, lb = 3392396.000000000000000 Total final*mass of water, lb = 3398312.222482160000000 _..,* Density of water, lb/cuft = 62.253001403808600 pK (water) = 13.994713944862280 pK (OH) = 6.922542795291246 Log (gamma OH) = -7.217114957103016E-002 Equilibrium pH = 7.000000000000000 Log (gamma H) = ~5.748890081747262E-002 Total mass of Boron, lb = 9675.113391999999000 PPM Of* Boron .
= 2852.000000000000000 -~
MW of Boron = 10.810000000000000 .-:* Log Ql,l (Boric acid) = 4.763145117252289 Log Q2,1 (Boric acid) = 4.716332774573161 .. Log Q3,1 (Boric acid) = 6.820967306541037 g Q4,2 (Boric acid) = 12.624570282378580 11 = 6.927911352813470E~oo3 2i = 6.219994193704244E-003 RB31 = 7.~14518730798993E-001
*RB42. = 6.018450484253338E-002 H3B03 = 2.305828494431926E~001 B(OH)4 = 1.597457540421573E~oo3 B2(0H)7 = 3.307074531329191E-004.
B3(0H)10 = 9.702988493506322E~003 B4(0H)14 = 1.701346212522551E-004 CBEB = -1.197142810072636E-002 Total mass of dodecahydrate TSP, lb. = 10412 .. 554316738570000 PPM of dodecahydrate: TSP -* 3069.380554846358000 MW of dodecahydrate:' TSP = 380.160000000000000 Log (gamma H2P04Jft <.. * = .-7.653353557463815E-002 pKl (Phosphoric . acid).* = . 2.162593478867187 pK2 (Phosphoric ifcid) * = 7.193348469950139 pK3 (Phosphoric. aciq) = 12.359999656677250 RPl = 80898.423180227310000. RP2 - 1.042922739541007 RP3 = 9.832592057938349E-006 H3P04 = 4.863060480492908E-008 H2P04 * = 3.934139247019549E~003 HP04 -* *4.103003281237423E-003 P04 * = 4.034315747679007E-008
. A = 8.037231502019253E-003 EP = 1.197142766709093E-002
-----------~--------------------------------------
Charge balance error = 4.248132775246715E-007
PALISADES NUCLEAR PLANT, EA-FC-949-01, *REV. 3 I SHEET B 3 AINMENT SUMP pH CONTROL USING PURE TRISODIUM PHOSPHATE, DODECAHYDRATE Option 1 *= 1 (pK values are. calculated) Option* 2 = o (qliantity of TSP is calculated) Option 3 = O (input quantity is in PPM) Temperature, deg F = 77.000000000000000 A (constant of activity) = 5.115000009536743E-001 B (constant of activity) = 3.291000127792358E-001 Solution ionic strength
= 4.641455176767099E-002 Total initial mass of water, lb = 3392396.000000000000000.
Total final mass of water, lb = 3401698.604485456000000 Density of water, ib/cuft = 62.253001403808600 pK (water) * = 13.994713944862280 pK (OH) = 6.706425432394056 Log (gamma OH) = -8.828851246822057E-002 Equilibrium pH . = 7.200000000000000 .Log (gatnrna H) = -6.727115784440478E-002
--~-------------------------------------------------*
Total mass of Boron, lb = 9615.113391999999000 PPM of Boron = 2852.000000000000000 .*. MW of Boron = 10.810000000000000. ' Log Ql,1 (Boric acid) = 4.766754971885261 .:*~\ Log Q2,1 (Boric acid) = 4~716332774573161 .~-~~i :" og. Q3,1 (Boric acid) = 6.820967306541037 g Q4,2 (Boric acid) = 12.624570282378580 11 = 1.149025162724070E~002 RB21 = 1.023074693433209E~002 RB31 = 1.301792826813140 RB42 = 1.628243741665166E-001 H3B03 = 2.173512478114318E-001 B(OH)4 = 2.49742052884~100E-003 B2(0H)7 = 4.8331649553140l4E-004 B3(0H)10 = 1.336682577974681E-002 B4 (OH) 14. = 3.633858137541872E-004 CBEB = -1.707445736089481E-002
-----------------------------~----------------------
Total mass of dodecahydrate TSP, lb = 16372.585883210290000 PPM of dodecahydrate . TSP:- = 4826.260225283337000 MW of dodecahydra_te.-Ts:P~ _. *. = 380.160000000000000 Log (gamma H2 P04JP;-- -~ - -, * = -8.5850154052B7619E-002 pKl (Phosphoric -_~ci_dt: _. = 2.162593478867187 pK2 (Phosphoric* acid}* = 7.193348469950139 pK3. (Phosphoric* acid)'~ = 12;359999656677250 RPl . = 132817.920157369100000 RP2 = 1~837392723806354 RP3 . - 1.858878967570440E-005 H3P04 = 3.350050969833820E-008 H2P04 = 4.449468022345052E-003 HP04 = 8.175420169065844E-003 P04 = 1.519711660332767E-007
= 1.2~2507366308663E-002 p = 1.707445671528504E-002 -------------------------------------~-------~----
Charge balance error 4.034147662406398E-007
PALISADES NUCLEAR PLANT, EA-FC-949-01, REV. 3, SHEET B 4 NTAINMENT SUMP pH CONTROL USING PURE TRISODIUM PHOSPHATE, DODECAHYDRATE ption 1 =1 (pK values are calculated) Option 2 =O (qµantityof TSP is calculated) Option 3 = o. (inptit quan_tity is in PPM)
= 77.000000000000000 Temperature, deg F . A (constant of activity) = 5.115000009536743E-001 B (constant of activity) = 3.291000127792358E-001 Solution ionic strength = 7.232666934823022E-002 Total initial mass of water, lb . = 3392396.000000000000000
- . Total final mass of water, lb = 3406429.732462602000000 Density of water, lb/cuft = 62.253001403808600 pK (water)* = 13.994713944862280 pK (OH) = 6.489687550394596 Log ( ganuna OH) . = ~l.050263944676802E-001 Equilibrium pH = 7.400000000000000 Log (ganuna H) = -7.656894040428171E-002 Total mass of Boron,* lb = 9675.113391999999000 PPM of Boron = 2852.000000000000000 MW of Boron = 10.810000000000000 Log Ql,l (Boric acid)* = 4.771764935311135 LogQ2,l (Boric acid) = 4.716332774573161 Log Q3,l (Boric acid) = 6.820967306541037 og Q4,2 (Boric acid) = 12.624570282378580
- 11. - l.914597047783757E-002 . *'1 21 = l.685175840251367E-002 :
RB31 = 2.144271415214372 RB42 = 4.417689435241915E-001 H3B03 = 2.013594849577585E-001 B(OH)4 = 3.85522275~433822E-003 B2 (OH) 7 , = 6.832653663334782E~004 B3(0H)l0 = l.750636710215188E-002 B4(0H)l4 = 7.262456571090567E-004 CBEB = -2.349762287731826E-002
-------------------------~---~---~------------------
Total mass of dodecahydrate TSP, lb = 24699.373924514900000 PPM of dodecahydrate. TSP . = 7280.805048854822000 MW of dodecahydrate~_~TSP _~ *: - _ = 380 .160000000000000 Lcig (ganuna. H2P04l'kc',,+i- -- -.- = -1. 015938349561597E-001 pKl (Phosphoric j~id~ = 2.162593478867187 pK2 (Phosphoric* ~_E:i;d.) _* * = 7 .193348469950139
- pK3 (Phosphoric .*acid}._,.- * - 12. 359999656677250 RPl . . = 218273 .170151890800000 RP2 = 3.24G63~775840900 RP3 = 3.531583817380920E-005 H3P04 = 2.051832149080012E~008 H2P04 = 4.478599077992612E-003 HP04 = l.454036207786257E-002
. P04 = 5.135050741303867E-007 NA = l.901949517925081E-002
-;~~-b~i~~~-~;;~;----------------:--~~~;;~;~~;~~~:::::~:::
PALISADES NUCLEAR PLANT, EA-FC-949-01, REV. 3, SHEET B 5
- AINMENT SUMP pH CONTROL USING PURE TRISODIUM PHOSPHATE, DODECAHYDRATE ption 1 =1 (pK values are* calculated)
Option 2 =O (quantity of TSP is calculated) Option 3 =O (input quantity is in PPM) Temperature, deg F = 77.000000000000000 A (c6nstant of activity) * = 5.115000009536743E-001 B (constant of activity) = 3.291000127792358E-001 Solution ionic strength = 1.059009332787700E-001 Total initial mass of water, lb = 3392396 .. 000000000000000 Total final mass of water, lb = 3412464.095744152000000 Density of water, lb/cuft = 62.253001403808600 pK (water) = 13.994713944862280 pK (OH) 6.273642033542753 Log (gamma OH) = -1.210719113195235E-001 Equilibrium pH = 7.600000000000000 Log (gamma H)
= -8.475823297833814E-002 Total *mass of Boron, lb = 9675.113391999999000 PPM of Boron = 2852.000000000000000 MW of Boron = 10.810000000000000 ~
Log Ql, 1. (Boric acid) = 4.778004169333760 -' Log Q2,1 (Boric acid) = 4.716332774573161 -- Log.Q3,1 (Boric' acid) = 6.820967306541037 g Q4,2 (Boric acid) = 12.624570282378580 11 - 3.194200223922813E-002 21 - 2.7713459399931S8E-002 RB31 = 3.526348846724143 RB42 = 1~194775243842707 H3B03 = 1.832896140655240E-001 B(OH)4 = 5.854637262908228E-003. B2(0H)7 = 9.310359583455830E-004 B3(0H)10 = 2.171395049237415E-002 B4(0H)14 = 1.348458677510052E-003 CBEB = -3.119704308346797E-002
---~-~-------~----~--~-------------~-----~---~------
Total .mass of dodecahydrate TSP, lb = 35319.854409575900000 PPM of dodecahydrate* TSP ..
- 10411.477436471420000
.MW of dodecahydra:~e TSP * = 380.160000000000000 Log (gamma H2P04)]?:~ - . -. = -1.165330714969633E-001 pKl (Phosphoric acidr - = 2.162593478867187 pK2 .(Phosphoric *acid). . = 7.193348469950139 pK3 (Phosphoric: acid)'. RPl . - -* . . . = 12.359999656677250
= 358046.631819319100000 RP2 = 5.704935577399408 RP3 = 6.647612576777706E-005 H3P04 = 1.130848282668606E-008 H2P04 4.048964187081555E-003 HP04 = 2.309907984249764E-002 P04 1.535537336729797E-006 A = 2.714959087539875E~002 p = 3.119704214210923E-002
------------------~-----~-------------------~-----
harge balance error = 3.431347213359304E-007
PALISADES NUCLEAR PLANT, EA-FC-949-01, REV. 3, SHEET B 6 ONTAINMENT SUMP pH CONTROL USING PURE TRISODIUM PHOSPHATE, .DODEcAHYDRATE ption 1 = 1.* (pK values are calculated) Option 2 = O (qtiantity. of TSP is calculated) Option 3 = O (i~p~t quantity is in PPM) Temperature, deg F = 77.000000000000000 A (constant of activity). = 5.115000009536743E-001 B (constant of activity) - 3.291000127792358E-001 Solution ionic strength = 1.459447931561215E-.001 Total initial mass of water, lb* = 3392396.000000000000000 Total final mass of water, lb = 3419612.959597338000000 ..... ~. Derisity of water, lb/cuft - 62.253001403808600 pK (water) = 13.994713944862280 pK (OH) = 6.059018281184196 Log* (gamma OH)* = -1.356956636780805E-001 Equilibrium pH = 7.800000000000000 Log (gamma H) = -9.167464034895356E-002 Total mass of Boron, lb = 9675.113391999999000 PPM of Boron . - 2852.00000000000000Q MW of Boron = 10.810000000000000 Log Ql,1 (Boric acid) = 4.785136683568187 Log Q2,1 (Boric acid) = 4.716332774573161 Log Q3,1 (Boric acid) - 6.820967306541037 og Q4,2 .(Boric acid) = 12.624570282378580 11 = 5.3225334a5509832E-002. 21 = 4.542704565183223E-002 RB31* = 5.780281982581262 RB42 = 3.210212045647423 H3B03 = 1.640161683860544E-001 B(OH)4. = 8.729815483997937E-003 B2(0H)7 =* 1. 222046741826811E-003 B3(0H)10 =* 2.550404179827728E~002 B4(0H)14 = 2.323166669144452E-003 CBEB . = -4.010309072323606E-002 Total _mass of dodecahydrate TSP; lb *- . 47901.854151927710000 PPM of dodecahydJ;"ate;- TSP:::* ._ * **. = 14120.360403657980000 MW of dodecahydr~t;:e/.*Tsp-:-- . ::_*._, * **. = 380.160000000000000 Log (gannna H2P04:1:f~~"'.:~-~ * . * -. -1.300198529491249E-001 pK1 *( Pliosphoric:~*i.9+/-cn' '**. = 2.1625934788671a1 pK2 (Phosphoric_ ~~ci:dl~-~-. = 7.193348469950139 pK3 (Phosphoric; *acidh * = 12.359999656677250 RPl .. ..
= 585364.491100429200000 RP2 = 9_.924556052207336 RP3 = 1.230550972763390E-004 H3P04* = 5.745251679844831E-009 H2P04 * = 3.363066325816256E-003 HP04 = 3.337694025785441E~oo2 P04 = 4.107202630216829E-006 NA = 3.674411953155256E-002.
EP = 4.010309014524197E-002 harge balance error = 1.802158449529327E-007
PALISADES NUCLEAR PLANT, EA-FC-949-01, REV. 3, SHEET B 7 NTAINMENT SUMP pH CONTROL USING PuRE TRISODIUM PHOSPHATE, DODECAHYDRATE ption 1 = 1 . (pK- values are calculated) Option 2 = O * - (q\J.antity .of TSP is calculated) Option 3 = O * (input quantity i~ in PPM) Temperature, deg F = 77.000000000000000 A (constant of activity) = S.115000009536743E-001 B (constant of activity) = 3.291000127792358E-001 Solution ionic strength. = 1.913685643167790E-001 Total initial mass of water, lb = 3392396.000000000000000 ~ Total final mass of water, lb = 3427710.919511174000000 ,/
~
Density of water, lb/cuft = . 62.253001403808600 pK (water) = 13.994713944862280 pK (OH) = 5.845926469960979 Log (gamma OH) * = -1.487874749012976E-001 Equilibrium pH = 8.000000000000000 Log* (gamma H)
- . = -9.746868323437186E-002
----------~------------~-----------------~----------
Total mass of Boron, lb = 9675.113391999999000 PPM of Boron = 2852.000000000000000 MW of Boron = 10.810000000000000. Log Ql,1 (Boric acid) =. 4.792880177749275 Log Q2, 1 (Bori_c acid) = 4.716332774573161 **;;,_" Log Q3, .1 (Boric acid) = 6.820967306541037 g Q4,2 (Boric acid) 11
- 12.~24570282378580, 21 - .
= 8.850212688312732E-002
-- 7.420040993155398E-002
- RB31 = 9.441496502209942 RB42 *- 8.56~802295886347 1I H3B03 = 1.443777465568203E-001 B(OH)4 = 1.277773764487171E-002 "'
B2 (OH) 7. = -*1.546702625597312E-003 B3(0H)10 = 2.841460438787539E-002 B4(0H)14 . = 3.721503045731110E-003 CBEB . . = ~5.018346408269895E-002
~ .
Total mass of. dodecahydrate,, TSP,<.llt* = :_.
- 62154*. 264731670240000 PPM of dodeca:tiydt'at.~**: TSPi'~~;,;.-- .. :"; -** * ..: 18321. 64i910811780000 .-
MW of- dodecahyd#~t'.~'}~.TSP;~'iJf::*~";,:~~~- .= - 380 .160000000000000_* Log (gamma*. H2PQ~:r~?~>>::_-~;~'&:*<_~~y;: - = -1.419910636457241E-001 " .. ; pKl (Phosphoric'~,;~C::i4*P;"" . ~:~~-.: ::: * -- 2 .162593478867187. pK2 (Phosphqric;<t~g~-c;iY:- . _- - = 7 .193348469950139.
- pK3. (Phosphoric.:* acidJ2:;~:.. . _. _ 12. 359999656677250 RP1 *.- ~* , - 953668.822367297400000 RP2 __ = 17.085383088153040 RP3 = 2.238492592363986E-004 H3P04;* _ =
- 2. 757160619180317E-009 _
H2P04 - 2.629418120771181E-003 HP04 4.492461589230710E~002 P04 = 1.005634198897268E-005 NA = 4. 756409311222787E-002. EP - 5.018346040533133E-OQ~ harge balance error = 9.954350458708049E-007
PALISADES NUCLEAR PLANT, EA-FC-949-01, .REV. 3 I SHEET B *a NTAINMENT SUMP pH CONTROL USING PURE TRISODIUM PHOSPHATE, DODECAHYDRATE (pK-values are calculated) Option- 2 = O (qtiantity of .TSP is calculated) Option . 3 = o * (inpJ,l,t. quantity is in. PPM)
~
Temperature, degF = 100.000000000000000 A (constant of-activity) = 5.238999724388123E-001
-B (constant of activity) = 3.138000071048737E~001 Solution ionic strength = 2.779481273079483E-002 Total initial mass of water, lb = 3392396.000000000000000 Total final mass of water, lb = 3398219.495473586000000 Density of water, l~/cuf t * = 62.000000000000000.
pK (water) = 1~.596441763245900 pK (OH) = 6.522616237343116 Log (gamma OH) = -7.382552590277967E-002 Equilibrium pH = . 7.000000000000000 Log (gamina -*H) = -5.938319282505212E-002
--------------~-------------------------------------
Total mass of Boron, lb = 9675.113391999999000 PPM of Boron = ' 2852. 000000000000000 MW of Boron = '* 10.810000000000000 Log Ql,1 (Boric acid) 4.459357188067691 Log Q2,1 (Boric acid). = 4.442785580375762 * .. !
*Log Q3,1 (Boric acid) = 6.387948113890130 og Q4~2 (Boric acid)* = . 11.624870845715700 11 = 8.644521339603759E-003 ..
2i a.320001612006206E~oo3 RB31 * = 7.333847526115790E-001 RB42 = 3.798729514197789E-002 H3B03* - . 2.310969134928954E-001 B(OH)4 = 1.997722200205898E-003 B2 (OH) 7* .4.443832013264378E-004 B3(0H)l0 = 9.051369867956391E-003 B4(0H)l4 = l.083465162140961E-004 CBEB = ~1.171035383089453E-002
~ . ..
Total_* mass.: of dodecahydi.;:t.te TSP;:: lb'-~-:-~--- 10249'~ 35295992S900000,
**.*PPM of dodec~h:Yq~~~:e\TS.~'fax~~~i~*:,_ * * - c *
- 3021. 272563677383000.
- MW of: dodecahydrate*~TSP;.¥~.;:,~(i_c;;.,,,;,~~ -~ *. = 380 .160000000000000**
Log (ga~. H:2Pc("".. ,,~~..iYt+/-~fU~~:x~::_.,~:-'* . * =. -7. 2220500001113s6E-002 pKl (Phosphor~c~*i,;1~~~.~~i)~~{~h ~:~:-"~":,:** * *= 2. 207469022593650 pK2 (Phosphoric>*:~9.'~~);;:;:~;" - , .-:*.. . = 7 .192725264958558 pK3 (Phosph,oric~j1c_~"d.*);~~'* .. = 12. 359999656677250 *.) .
. RPl. * . ' : :,
- _.,,.,.... =-' = -73241. 892480109880000
. RP2 ** = 1. 056721333084661.
RP3 = . 1. 002635882899140E-005
- H3P04 . - 5. 230566907421772E-008 H2P04 = 3.830966190434063E~003 HPQ4 -* 4.048263699757747E~003 P04 = 4.058934448815148E-008
. NA .. . = . 7 .879322785205372E-003
.tl~~~~cb~i~~~~-~;~;--~~---~--~--:--:--~~~~~;~~;~;;~:::::~::~
PALISADES NUCLEAR PLANT, EA-FC.-949-01, REV. 3, SHEET B 9 AINMENT SUMP pH.CONTROL USING PURE TRISODIUM PHOSPHATE, DODECAHYDRATE C
-----------~-~------~----------------------------
ion 1 Option_2
=1
=O
. (pK~_ values (quantity of TSP is calculated) are calculated) . .
Option 3 =- o (i11p_ut_ quantity is in PPM) Temperature; deg F 100.000000000000000 A (constant of activity) 5.238999724388123E-001 B (constant of activity) = 3.138000071048737E-001 Solution ionic strength = 4.579523128231800E-002 Total initial mass of water, ib = 3392396.000000000000000 Total final mass of water, lb = 3401626.il2329651000000 Density of water, lb/cuft = 62.000000000000000 -* pK (water) = 13.596441763245900 pK (OH) = 6~305663993553586 Log (gamma OH) = -9.077776969230894E-002 Equilibrium pH -- 7.200000000000000 Log (gamma H) = *-6.988001003629710E~002 Total mass of Boron, lb = ~675.113391999999000 PPM of Boron = 2852.000000000000000 MW of Boron = 10.810000000000000 Log Ql,1 (Boric acid) = 4~462889211713767 Log Q2,l (Boric a~id) = 4.442785580375762 Log Q3,1 (Boric acid) =- 6.387948113890130 g*Q4,2 (Boric acid) . -= - 11.624870845715700 1i - 1.436234048230804E~oo2 21 = 1.371265617443222E-OOi RB31 - 1.208604259031397' RB42 = 1.031674885864015E-001 H3B03 = 2.182422143873488E-001 B (OH) 4. - 3.134468990643968E-003 B2 (OH) 7 - = 6.531292080650139E-004-B3(0H)10- = 1.256320362790699E~002 B4(0H)l4 = 2.340442074130560E-004 CBEB - = -1.681931082417153E-OOZ
---~--~-------------------~--~--~------~-~---------- - Total mass of dodecahydrate T$i:i-,-- lb = - 16245. 000493318560000:., *~i 1i~~~~~1;?~,~~:
0 pK3 (Phosphoric ac-id}~; -_: :. -- * - RP1 - . - .,_ ,-_*c**-'-_,:;:--"'*'. c * *~ "-a.:H!mmimnmr
=
. 12. 359999656677250 - -
120477. 5512127-18900000 . RP2 = 1.87240674825434S RP3 . _ - 1. 913709947668599E-005_ H3P04 - 3.605107999545192E-008 H2P04 = 4.343345836425885E-003
- HP04 * = - 8 .132510054126253E-003 P04 = 1.556326539009630E-007 NA - 1.247604757428603E-002 p -= 1.681930988021800E-002'.
arge balance error
= _S.659~32216208173E-007 I
I
PALISADES NUCLEAR PLANT, EA-FC-949-01, REV. 3, SHEET BlO CONTAINMENT SUMP pH CONTROL USING PURE TRISODIUM PHOSPHATE, DODECAHYDRATE
- ~~i~~-~-:-~--(~;-~~i~~~-~~~-~~i~~i~~~d;------------
Option 2 = O (quantity of TSP is calculated) - _ _ Option* 3 = o. - (input quantity is in PPM) *
------------------~---------------------------------
-* Temperat:ure, deg F = 100.000000000000000 A (constant of activity) = 5.238999724388123E-001 B (constant of activity) = 3.138000071048737E-001 Solution ionic strength = 7.188831150280101E-002
------------------------------~---------------------
Total initial mass of water, lb = 3392396.000000000000000 Total final mass of water, lb = 3406433.380012149000000 -*- Density of water, lb/cuft . pK (water)*.
= 62.000000000000000 -*
= 13.596441763245900 pK (OH) = 6.087928340566122 Log (gamma OH) - = -1.0851342i6797733E-001 Equilibrium pH = .7.400000000000000 Log (gamma H) = -7.993745Q3j123520E~002 Total mass of Boron, lb = 9675.113391999999000 PPM of Boron =
2852.000000000000000 I~~
*MW of Boron 10.810000000000000 . ~:
Log Ql, 1 (Boric acid) = 4.467828068534217 . *~}.. Log Q2,1 (Boric acid)- = 4.442785580375762 . Log Q3, 1. (Boric acid)
- . Log Q4, 2, (Bori_c acid) - -
-- 6.387948113890130
= 11.624870845715700 11 = 2.398279128688041E-002 21 - - .2.263900001749018E-002 RB31 - - 1.995353160853492 RB42 . = 2.811992542486408E-001 H3B03 = 2.025707676016094E-001 B(OH)4 = 4.858212440212555E-003 B2(0H)7 = 9.289894614768284E-004 B3(0H)10 = 1.658632208778368E-002 B4(0H)14 = 4.735013915542014E-004 CBEB = -2.332129563358541E-002
- . ------~--~-~---~-----~-~--------~~~~-~~-------------*
Total mass of dodecahydrate. TSP*, lb = .24705.796028096890~00 PPM of- dodecahydr;:ttei: Tsp:*-- : : -. -- - 7282~698136684779000* - MW of -dodecahydrate1:fTSit:~i,;:- *_, 380.16000000000000Q
~~i ~ i~:h~;i~~~{f~)}:~&:U-_: -_
.- ~1.050979388109314E~oo1
= 2.207469022593650
_ pK2 (Phosphoric *acid)i::* _.-_ = 7.192725264958558 _ pK3 (Phosphoric~. acia*}F _:~::_ *
- 12.359999656677250 RPl - . *---
= 198439.861941595600000 RP2 3~330953357934190 RP3 = 3.676969583918330E-005 H3P04 = 2.204538i15537656E-008 H2P04 4.374682392922777E-003 HP04 = l.457186300660170E-002 P04 5.358029705629918E-b07 NA = 1.894710324787620E-002 EP- = 2.332129392859073E~002 arge balance error = 7.279508417872259E-007
-PALISADES. NUCLEAR PLANT, EA-FC-949-01, REV. 3, SHEET B 11 AINMENT SUMP pH CONTROL USING PURE TRISODIUM PHOSPHATE,_DODECAHYDRATE tion 1 = 1 (pK values*are calculated) -
Option 2 = O (quantity of TSP is calculated) Option 3 = o (inp~t quantity is in PPM) Temperature, deg F = 100.000000000000000 A (constant of activity) = 5.238999724388123E-001 B (constant of activity) = 3.138000071048737E-001 Solution ionic strength = 1.059473599335184E-001 Total initial mass of water, lb = 3392396.000000000000000 Total final mass of water, lb = 3412622.611203343000000 Density of water, lb/cuft = 62.000000000000000 pK _(water) 13.596441763245900 pK (OH) = 5.870822501730792 Log (gamma OH) = -l.256192615151034E--001 Equilibrium pH = 7.600000000000000 Log - (gamma H) = -8.885023911568012E-002 Total mass_ of Boron:, lb = g675.113391999999000 PPM of Boron = 2852.000000000000000 MW of Boron = 10.810000000000000 Log Ql,1 (Boric acid) . - 4.474015374165929 _j Log Q2,1 (Boric acid) = 4~442785580375762 Log Q3,1 (Boric acid} = 6.387948113890130 g Q4,2 (Boric acid) = 11.624870845715700 11 = 4.010447841559092E-002 21 = 3.732184274459391E-002 RB31 = 3.289467592727994 RB42 = 7.642330975284257E-001 H3B03 = 1.847351746894640E-001 B(OH)4 = 7.408707825934029E-003 B2(0H)7 = 1.273685691025808E-003 B3(0H)l0 = 2.073835951146208E-002 B4(0H)l4 = 8.900701257361173E-004 CBEB = -3.120220886917102E-002 Total mass of dodecahydrate TSP, *lb- = 35598. 845322297840000 PPM of dodecahydrate_ TSP = 10493.717514788320000 MW.of dodecahydrate- TSP' *= 380.160QOOOOOOOOOOO Log (gamma H2P04-nt.~- -: = -1.210646820921678E-001 - pKl (Phosphoric-ac:idl = 2.207469022593650 pK2 (Phosphoric_ ~-~id), -
- 7 .192725264958558 pK3 (Phosphoric ~cid). = i2.359999656677250
- RPl = 326283~911123348200000 RP2. = 5.894796015841723 RP3 *- 7.003639021687543E-005 H3P04 = 1,211290298391791E-009 H2P04 = 3.952245360650409E-003 HP04 = 2.329768020559096E-002 P04 = 1.631685422026743E-006
. NA . __ = 2. 725156936456638E-002
-~~-b~l~~~-~~~~~c---------------=--~~~~~~~~;;;~~:::::~::~
PALISADES NUCLEAR PLANT, EA-FC-949-01, REV. 3,
- SHEET B 12 ONTAINMENT SUMP pH CONTROL USING PURE TRISODIUM PHOSPHATE, DODECAHYDRATE ption 1 = 1 (pK values are calculated)
Option* 2 =O (quantity of TSP is calculated) Option 3 = o (input quantity is in PPM) Temperature, deg F = 100.000000000000000
, A (constant of activity) = 5.238999724388123E-001 B (constant of activity) = 3.138000071048737E-001 Solution ionic strength = 1~468903476802449E-001 Total initial mass of water, lb = 3392396.000000000000000
- Total final mass of water, lb = 3420030.966455305000000 Density of water, lb/cuft = 62.000000000000000 pK (water) * = 13.596441763245900 pK (OH) = 5.655132696718629 Log (gamma OH) = -l.413090665272667E-001 Equilibrium pH = 7.800000000000000 Log (gamma H) = -9~.642254997098512E-002 Total mass of Boron, lb -. 9675.113391999999000 PPM of Boron = 2852.000000000000000 ._,
MW of Boron = 10.010000000000000 Log Ql,l (Boric acid) = 4.481131568428601 : ~:. ~ Log Q2,l (Boric acid) = 4.442785580375762 _::,_, \ Log Q3,l (Boric acid) = 6.387948113890130 og Q4,2 (Boric acid) = 11.624870845715700 11 = 6.698828690694246E-002 21 = 6.132716427177673E-002 RB31 = 5.405245416375828 RB42 = 2*.063504651919389 H3B03 = l.655992017881197E-001 B(OH)4 = l.109320684094322E-002 B2(0H)7 = l.681780690717194E-003 B3(0H)l0 - . 2.454653154482454E-002 B4(0H)l4 = l.551809508598031E-003 CBEB = -4.042733072335198E-002
.'total mass of dodec~hydrate . TSP, lb = 48637.550480920300000 PPM of dode¢ahydrate.TSP = 14337.226691966470000 MW of dodecahydrate TSP** = 380.160000000000000 Log (gamma H2P04}/*<' - = -1.35571686667840oE~oo1 pKl (Phosphoric ~cid) = 2.207469022593650 pK2 (Phosphoric acid)~ = 7.192725264958558 pK3 (Phosphoric acid) = 12.359999656677250 RPl = 534690.741482247700000 RP2 = 10.327371384489500 RP3 - . 1~311773268861686E-004 H3P04 = 6.133405998117332E-009 H2P04 HP0.4
= 3.279475400945022E-003
= 3.386836041185685E-002 P04 = 4.442760984844716E-006 NA = 3.715228470719271E-002 EP = 4.042732961396487E-002 harge balance error = 3~128898025769682E-007
PALISADES NUCLEAR PLANT, EA-FC-949-01, REV. 3, SHEET B 13
.tlNTAINMENT SUMP pH CONTROL USING PURE TRISODIUM PHOSPHATE, DODECAHYDRATE . ---------~-------------------------~-------------- .
. tiori 1 = 1 * (pK values are calculated) Option 2 = O (quantity of TSP is calculated) Option 3 = O (input quantity is in PPM)
. Temperature, deg F = 100.0000000GOOGOOOO A (constant of activity) = 5.238999724388123E-001 B (constant of activity) = 3.138000071048737E-001 Solution ionic strength = 1.938301602529993E-001 Total initial mass of water, lb - 3392396.000000000000000 Total final mass of water, lb = 3428534.899012736000000 Density of water, lb/cuft = 62.000000000000000 pK (water) = . 13.596441763245900 pK. (OH) = 5.440966954164415 Log (gamma OH) = -1.554748090814813E-001
.Equilibrium pH = 8.000000000000000 Log (gamma H). = -1.028146395867953E-001 Total mass of Boron, lb = 9675.113391999999000 PPM of Boron = 2852.000000000000000 MW of Boron = 10.810000000000000 ..
Log Ql, 1 . (Boric acid) = 4.488922395095548 Log Q2,1 (Boric acid) = 4.442785580375762 . ' Log Q3,1 (Boric acid) -* 6.387948113890130 og Q4,2 (Boric acid) = 11.624870845715700 11 = 1.116748662319562E-001 21 = 1.004196321607586E-001 RB31 = 8.8507721l1671587 RB42 = 5.532697647216471 H3B03 = 1.459942968443102E-001 B(OH)4 = 1.630389357071685E-002 B2(0H)7 = .2.140377651436392E-003 B3(0H)l0 = 2.754157878047067E-002 B4(0H)14 = 2.513509322351046E-003 CBEB = -5;101647868184506E-002 Total mass of dodecahydrate TSP, *lb = 63604.471686012730000 PPM of* dodecahydrate TSP' = 18749 .129431237600000 MW of dodecahydrate*TSP: = 380.160000000000000 Log (gamma H2P04¥~*~ *. . = -1.485576215858969E-001 . pKl (Phosphoric* ~.c.:td}* = 2. 207469022593650 pK2 (Phosphoric a:cidr = 7.192725264958558 pK3 (Phosphoric *afiia-r = 12. 359999656677250 RPl = 873149.478579805200000 RP2 = 17.903898198692990 RP3 = 2.414284528268070E~004 H3P04 = 2.935510625876729E-009 H2PO~ = 2.563139572349743E-003* HP04 = 4.5890189972391lOE-002 P04 = 1.107919756496268E-005 NA = 4.846441167781664E-002
. ~~~-b~i;;,-;.~~-~;;;;ci~----------------=--~:;~~~;~;~~;;:::::~:::
PALISADES NUCLEAR PLANT, EA-FC-949-01, REV. 3, SHEET B. 14 NTAINMENT SUMP pH CONTROL USING PURE TRISODIUM PHOSPHATE, DODECAHYDRATE
--~---------------------------------~------------- .
tion 1 =1 (pK values are calculated) *
- Option 2 =O (quantity of TSP is calculated)
Option 3 = O (input quantity is in PPM)
------------------------------------------------~---
Temperature, deg F = 120.000000000000000 A (constant of activity). = 5.360999703407288E~001 B (constant of activity) = 3.343000113964081E-001 Solution ionic strength = 2.663222132564554E~002 Total initial mass of water, lb = 3392396.000000000000000 Total final mass* of water, lb = 3398020.902776778000000 .-- Density of water, lb/cuft = 61.690000534057620 - pK (water) = 13.289869721292580 pK (OH) = 6.216408558400595 Log (gamma OH) = -7.346116289197968E-002 Equilibrium pH = 7.000000000000000 Log (garrnna H) = -5.867748238404444E-002 Total mass of Boron, lb = 9675.113391999999000 PPM of Boron = 2852.000000000000000 ~~ MW of Boron - 10.810000000000000 Log Ql,1 (Boric acid) = 4.216976976637348 .. Log Q2,1 (Boric acid) = . 4.225929091290451 .tlg
. **'.* \
Log Q3,1 (Boric acid) - 6~040204826284127 Q4,2 (Boric acid) = 10.844338172853560 . 11 = 1.001309688252097E-002
- 21. = 1.0221638860640J5E-002 RB31
.RB42
= 6.664940364926546E-001
= 2.579414020034557E-002 H3B03 = 2.316941823978616E-001 B(OH)4 = 2.319976295466272E-003 B2(0H)7 = 5.487200019197915E-004 B3(0H)10 = 8.289754241118654E-003 B4(0H)l4 = 7.433298497184166E-005 CBEB = -1.130760960536432E-002
--------------------------~----------------------~--
Total mass of dodecahydrate TSP, lb = 9899.964914921864000 PPM of dodecahydrate TSP = 2918.281036447946000 MW of dodecahydrate*TSP>> - 380.160000000000000 Log (gamma H2P04b\-**_*o = -7.181625654976215E-002 pKl (Phosphoric* acid) . - 2.251674779142454 pK2 (Phosphoric a9-id}.. = 7.203498928550955 pK3 ( Phosph_oric acid).> RPl .
= 12.359999656677250
= 66090.811305628800000 RP2 = 1.027897574097113 RP3 = 9.978876001461548E-006 H3P04 - 5.650431752166935E-008 H2P04 = 3.734419577537036E-003 HP04* 3.838600824411084E-003 P04 * = 3.830492164590629E-008 NA = 7.573115211187287E-003 EP. . . . = l.130760949243772E-002
--------------------.------~-----------------------
arge balance error 1.818275720936511E-008
PALISADES NUCLEAR PLANT, EA-FC-949-01, REV .. 3, SHEET B 15 NTAINMENT SUMP pH CONTROL USING PURE TRISODIUM PHOSPHATE, DODECA!WDRATE ption 1 = 1 (pK values are calculated) Option 2 = O (quantity of TSP is calculated) Option 3 = O (input quantity is in PPM) Temperature, deg F - 120.000000000000000
=
.A ~constant of activity) = 5.360999703407288E-001 B (constant of activity) = 3.343000113964081E-001 Solution ionic strength = .4.424042359885213E-002
-------------------------~--------------------------
Total initial mass of water, lb = 3392396.000000000000000 Total final mass of water, lb = 3401385.267270930000000 Density of water, lb/cuft = 61.690000534057620 pK (water) = 13.289869721292580 pK (OH) = 5.999379418881647 Log (gamma OH) = -9.049030241092852E-002 Equilibrium pH = 7.200000000000000 Log (gamma H) = -6.905798097174783E~oo2 Total mass of Boron, lb = 9675.113391999999000 PPM of Boron = 2852.000000000000000 MW of Boron = 10.810000000000000 Log Q1,1 (Boric acid) = 4.220376102785499 Log Q2,1 (Boric acid) Log Q3,1 (Boric acid) 11 21 RB31 Q4,2. (Boric acid)
=
=
=
=
=
=
4.22S929091290451 6.040204826284127 10.844338172853560 1.663399949275744E-002 1~684805115251995E-002 1.098564112i51957
*\
RB42 = 7.007761860212508E-002 H3B03- = 2.193299669451649E-001 B(OH)4 = 3.648334558912380E~oo3 B2(0H)7 = 8.104861890984394E-004 B3(0H)10 = 1.159095786012412E-002 B4(0H)14 = 1.621702655210611E-004 CBEB = -1.637504659873697E-002 Total mass of dodecahydrate TSP, lb = 15821.113187255080000 PPM of dodecahydrate TSP = 4663.698809707086000 MW of dodecahyprateTSP = 380.160000000000000 Log (gamma. H2 PO.;&,Jii- -- * = -8.S00727660020483E-002 pKl (Phosphoric*_ acid). * -- 2.251674779142454 pK2 (Phosphoric . a_cid) = 7.203498928550955 pK3 (Phosphoric.acid) = 12.359999656677250 RPl . = 108725.771356799000000 RP2 = 1.821893142766680 RP3 *- 1.905621860987726E-005 H3P04 = 3.940654373089646E-008 H2P04 = 4.284506863647151E-00~ HP04 = 7.805913675015519E-003 P04 = 1.487511974409261E-007 A *- 1.209060869640384E-002 EP = 1.637504562194101E-002
---------------~----------------~-~---------------
Charge balance error 5.961740112386630E-007
PALISADES NUCLEAR PLANT, EA-FC-949-01, REV. 3, SHEET B 16 ONTAINMENT SUMP pH CONTROL USING PURE TRISODIUM PHOSPHATE, DODECAHYDRATE tion 1 =1 (pK values are calculated) Option 2 =O (quantity of TSP is calculated) Option 3 =O (input quantity is in PPM)
-----------------~----------------------------------
Temperature, deg F* = 120.000000000000000 A (constant of activity) S.360999703407288E-001 B (constant of activity)* = 3.343000113964081E-001 Solution ionic strength = -1.014060449090050E-002 Total initial* mass of water, lb = 3392396.000000000000000 Total final mass of water, lb = 3406203.150126261000000 Density of water, lb/cuft = 61.690000534057620 -** pK (water) 13.289869721292580 pK (OH) = 5.781477016021297 Log (gamma OH) = -l.0839270527i2777E-001 Equilibrium pH = 7.400000000000000 Log (gamma H) = -7.901771063105907E-002 Total mass of Boron, lb = 9675.113391999999000 PPM of Boron - ~ 2852.000000000000000 MW of Boron - 10.810000000000000 Log Ql,l (Boric acid) = 4.225195676889456 -'. Log Q2_, 1 (Boric acid) = 4.215929091290451 .*;.- \ Log Q3,1 (Boric acid) =. . 6.040204826284127 og Q4,2 (Boric acid) = 10.844338172853560 11 = 2.777913132370765E-002 21 = 2.782608293939503E-002 RB31* = 1.814378162925453 RB42 = l.911543303385807E-001 H3B03 = 2.040771125234463E-001 B(OH)4 = 5.669084908951878E-003 B2(0H)7 = l.158885894774267E-003 B3(0H)l0 = 1.5420935219134~9E-002. B4(0H)l4 = 3.315593993117177E-004 CBEB = -2.291363101892325E-002 Total mass of dodecahydrate TSP, lb = 24300.592006252360000 PPM of dodecahydrate TS~ . = 7163.2S33484452760oo MW of dodecahydrate TSP = 380.160000000000000 Log (gamma. H2P04k'** = -1.048492575665553E-001 pKl * (Phosphoric. a!c1d). * . - 2.25i674779142454
.PK2 (Phosphoric'a.!iid)' = 7.2034~8928550955
. pK3 * (Phosphoric* ~cid)* * = 12.359999656677250
- . RPl - = 179132.5377001932-00000 RP2 = 3.243760971667521 RP3 = 3.666457296959924E-005 H3P04 = 2.439355669563655E-008 H2P04 = 4.369679714422915E-003 HP04 =
- 1.417419651633233E-002 P04 = 5.196908624585060E-007 NA = 1.854442031517440E-002 EP = 2.291362912584825E-002 arge balance error = 8.09210746215~636E-007
- ---- I PALISADES NUCLEAR PLANT, EA-FC-949-01, REV. 3, SHEET B 17
- 'AINMENT SUMP pH CONTROL USING PURE TRISODIUM PHOSPHATE, DODECAHYDRATE ption 1 = 1 (pK values are calculated)
Option* 2 = O (qliantity of TSP is calculated) Option 3 = o _(input quantity is in PPM) Temperature, deg F = 120.000000000000000 A (constant of activity) = s:360999703407288E-001 B (constant of activity) 3.343000i13964081E-001 Solution ionic strength = 1.044585595705196E-001 Total initial mass of water, lb = 3392396.000000000000000 Total final mass of water, lb = 3412502.444424106000000-Density of water, lb/cuft = 61.690000534057620 pK (water) = - - 13.289869721292580 pK (OH) = 5.564145798822379 Log ( ganuna OH) = -1.257239224701966E-001 Equilibrium pH. = 7.600000000000000 Log (ganuna H) = -8.784556975449975E-002 Total mass qf Boron, lb = 9675.113391999999000 PPM of Boron = - 2852.000000000000000 MW of Boron = 10;010000000006000 Log Ql,1 (Boric acid) - 4.231317076197980 ... ~ *-. Log Q2,1 (Boric acid) = 4.225929091290451 Log Q3,1 (Boric acid) = 6.040204826284127 g Q4,2 (Boric acid) = 10.844338172853560 11 = ~.646985072261473E-002 21 = 4.589689359115059E-002 RB31 = 2.992671360150386 RB42 = 5.200517656529245E~001 H3B03 = 1.865279919839807E-001 B(OH)4 = 8.667927943084660E-003
-B2(0H)7 = 1.596876472999454E-003 B3(0H)10 = 1.9421871320a7791E-002 B4 (OH) 14_ = 6.295389931146621E-004 CBEB = -3.094845103493951E-002 Total mass of dodecahydrate TSP, lb = 35387.353333262330000 PPM of dodecahydrate TSP = 10431.374560417570000 MW of dodecahydra_te* TSP = 380.160000000000000 Log ( ganuna H2 P04~)t: - * = -1.209815287936002E-001 pK_:t (Phosphoric acid) = 2.251674779142454 pK2 (Phosphoric -acid) = 7.203498928550955 pK3 (Phosphoric ~cid) = 12.359999656677250 RPl = 294650 .. 206400154100000 RP2 = 5.747059028501358 RP3 = 6.996937382192764E-005
- H3P04 = 1.355797114169521E-008 H2P04 = 3.994858995267825E-003 HP04 = 2.295869045634382E-002 P04 = l.606405195001843E-006
'A = 2.695516941477779E-002 EP = 3.094844912079289E-002 Charge balance error = 6.357323436816800E-007
PALISADES NUCLEAR PLANT, EA-FC-949-01, REV. 3, SHEET B 18
.co~~=~~~-~~:-~~-=~~~~~-~~=~~-:~~-=~=~~~=~-:~~~PHATE,
- DODECAHYDRATE
. tion 1 = 1 (pK vaiu~s are calcfilated) * -
- Option 2 = O (quantity of TSP is calculated) * *
- Option 3 = O (input quantity is in PPM)
Temperature, deg F
= 120.000000000000000 A (constant of activity) = 5.360999703407288E-001
*B (constant of activity) = 3.343000113964081E-001 Solution ionic strength = 1.46297049192~668E-001 Total initial mass of water, lb = 3392396.000000000000000 Total final mass of water, lb = 3420156.389841278000000 Density of water, lb/cuft = 61.690000534057620 pK (water) = 13.289869721292580 pK (OH) = 5.348213395554630
*Log (gamma OH) = -1.416563257379453E-001 Equilibrium pH = 7.800000000000000 Log (gamma H) = -9.533782377681228E-002 Total mass of Boron, lb = 9675.113391999999000 PPM of Boron = 2852.000000000000000 MW of Boron = 10.810000000000000 Log Ql,1 (Boric acid) = 4.238444032598641 Log* Q2,1 (Boric acid) = 4.225929091290451
-~i Log Q3,1 (Boric acid)* = . 6. 040204826284127 Log Q4,2 (Boric acid) = 10.844338172853560 11 = 7.766594610046826E-002 21 = 7.545980798065940E-002 31 = 4.920298271116735 RB42 = 1.405760647891447 H3B03 = 1.675227055654391E-001 B(OH)4 = 1.301080942105001E-002 B2(0H)7 = 2.117693251358851E-003 B3(0H)10 = 2.313196177892777E-002 B4(0H)l4 = 1.107149059599953E-003 CBEB = -4.047922808-043958E-002
------------------------------------~------~------~-
Total mass of dodecahydrate TSP, lb = 48858.298042151120000 PPM of dodecahydrate TSP .. - . 14402.297975280930000 MW of dodecahydrate- TSP.* = 380.160000000000000_ Log (gamma . H2 P04 ):~ ** . = -1.356644520380942E-001 pKl (Phosphoric acid) = 2.251674779142454 pK2 (Phosphoric*. acid) = 7.20~498928550955
.pK3 (Phosphoric:acidl = 12.359999656677250 RPl = 483047.315503432100000 RP2 = 10.080786746141480 RP3 = 1.313174992141230E-004 H3P04 = 6.936607042446068E-009 H2P04 = 3.350709410555774E-003 HP04 = 3.377778701610216E-002 P04 = 4.435614519941810E-006 NA = 3.713293897778493E-002
,., EP = 4.047922664703485E-002 arge balance error = 3.900672079724699E-007
PALISADES NUCLEAR PLANT, EA-FC-949-01, REV. 3, SHEET B 19 AINMENT SUMP pH CONTROL USING PURE TRISODIUM PHO$PHATE, DODECAHYDRATE p i~~-~-=-~--,~;-~~i~~~-~~~-~~i~~i~~~;;)------~-"---- Option 2 = O (qliantity of TSP is calculated) Option 3 = O (input quantity is in PPM) Temperature, deg F = 120.000000000000000 A (constant of activity) = 5.360999703407288E-001 B (constant of activity) = 3.343000113964081E-001 Solution ionic strength = 1.949017275278594E-001 Total initial mass of water, lb = 3392396.000000000000000 Total final mass of water, lb = 3429070.918607600000000 Density of water, lb/cuft = 61.690000534057620 pK (water) 13.289869721292580 pK (OH) = 5.133807809314973 Log (gannna OH) = -1.560619119776021E-001 Equilibrium pH = 8.000000000000000 Log (gannna H) = .016529690062131E-001
-~--------------------------------------------------
Total mass of Boron, lb = 9675.113391999999000 PPM of-Boron = 2852.000000000000000 MW of Boron = 10.8100000QOOOOOOO Log Ql,1 (Boric acid) 4.246331195321374
-g
= -:-,
Log Q2,1 (Boric acid) = 4.225929091290451 ::~. ' Log Q3,1 (Boric acid) = 6.040204826284127 Q4,2 (Boric acid) = 10.844338172853560 11 = 1.295756469882327E-001 21 = 1.236292634880271E-001 RB31 = 8.061150268968118 RB42 = 3.773310587906318 H3B03 = 1.478957760520306E-001 B(OH)4 = 1.916369086876863E-002 B2(0H)7 = 2.704162731922976E-003 B3- (OH) 10 = 2.607740240629039E-002 B4(0H)14- = l_.805284430318341E-003 CBEB = -5.156316062024211E-002 Total mass of~dodecahydrate TSP, lb-= 64547.869562611790000-PPM of dodecahyd:i;-ate. TSP_- = 19027.221339316460000 MW of dodecahydrate TSP = "380.160000000000000 Log ( gannna -H2 P04:)E- - .,. = -1.488205470778153E-001 pKl (Phosphoric_~cid} = 2.251674779142454 pK2 (Phosphoric acid) = 7.203498928550955 - - pK3 (Phosphoric acid} - - - 12.359999656677250 RPl = 789124.93749416960000d RP2 = 17~496964580992810 RP3 = 2.421603740138922E-004 H3P04 = 3.351403089490191E-009 H2P04 = 2.644675753511714E-003 HP04 = 4.627379798740492E-002 P04 = l.120568022767327E-005 NA = 4.892968277254740E-002 EP = 5.156315954863761E~oo2 harge*balance error 2.402873912119220E-007
PALISADES NUCLEAR PLANT, EA-FC-949-01, REV. 3, SHEET B 20 AINMENT SUMP pH CONTROL USING PURE TRISODIUM PHOSPHATE, DODECAHYDRATE ption 1 = 1 (pK values are calculated)
. Option 2 = O . (quantity of TSP is calculated)
Option 3 = O (input quantity is in PPM)
-----------------------------------------------~----
Temperature, deg F = 140.000000000000000 A (constant of activity) = 5.493999719619751E~001 B (constant of activity) = 3.370999991893768E-001 Solution ionic strength = 2.520531269569822E-002 Total initial mass of water, lb = 3392396.000000000000000 Total final mass. of water, lb = *3397767.653766964000000 Density of water, lb/cuft = 61.380001068115230 pK (water) = 13.016391055855620 pK (OH) 5.942928052673287 Log (gamma OH) = -7.346300318232835E-002 Equilibrium pH = 7.000000000000000 Log (gamma H) = -5.886863085270939E-002 Total mass of Boron, lb = 9675.113391999999000 PPM of Boron = 2852.000000000000000 -* MW of Boron = 10.810000000000000
*Log Ql, 1 (Boric acid} - 3.993039909331299.
-g
'/.;
4.026454267104769. :- .. Log Q2,1 (Boric acid} = Log Q3,1 (Boric acid} = 5.716405454513771 (Boric acid} = 10.136915721046030. 11 Q4,2
.. = 1.122307478002874E-002.
21 = 1.212065848024060E-002 RB31 = 5.935774610682264E-001 RB42 = 1.782623451768716E-002 H3B03 = 2.324854748257435E-001
- B (OH) 4 = 2.609201869239808E-003 B2(0H)7 = 6.551154821051448E-004 B3(0H)10 =
- 7.458729802160429E-003
- B4(0H)l4 = 5.207663488358762E-005 CBEB = -1.082822634532615E-002 Total mass of dodecahydrate TSP, lb = 9454.119485876556000 PPM of dodecahydrate TSP *= 2786.856099900057000 MW of dodecahydrate '..TSP- = 380.160000000000000 Log (gamma H2 P04* );:".> : _~ * = -7.184381185805286E-002 pKl (Phosphoric acid) = 2.300195859311883 pK2 (Phosphoric a*cid) = 7.223692862926470 pK3 (Phosphoric acid) . = 12.359999656677250 RPl = 59108.229725157060000 RP2 = 9.813830949097170E-901 RP3 = 9.982042224345928E-006 H3P04 = 6.144467056634186E-008
'H2P04 = 3.631885703221931E-003 HP04 = 3.564271231786292E-003 P04 = 3.557870593471224E--008 A = .7.196253958384724E~003 p = 1.082822697224185E-002 Charge balance error = 6.457729826994294E-007.
PALISADES NUCLEAR PLANT, EA- FC- 9 4 9 - 01 , .REV. 3 , SHEET B 21 NTAINMENT SUMP pH CONTROL USING PURE TRISODIUM PHOSPHATE, DODECAHYDRATE ption 1 = 1 (pK values are calculated) Option 2 = O (quantity of TSP is calculated) Option 3 = O (input quantity is in PPM) Temperature, deg F = 140.000000000000000 A (constant of activity) = S.493999719619751E-001 B (constant of activity) = 3.370999991893768E-001 Solution ionic strength = 4.233810306712331E-002 Total initial mass of water, lb = 3392396.000000000000000 Total final mass of water, lb = 3401073.254822059000000
-Density of water, lb/cuft = 61.380001068115230 pK (water) = 13.016391055855620 pK (OH) = 5.725428205014869 Log (gamma OH) = -9.096285084074632E-002 Equilibrium pH = 7.200006000000000 Log (gamma H) = -6.959823466037790E-002 Total mass of Boron, lb = 9675.113391999999000 PPM of Boron = 2852.000000000000000 MW of Boron = 10.810000000000000 Log Ql,l (Boric acid) = 3.996294948823652 Log Q2,l (Boric acid) = 4.026454267104769 Log Q3,l (Boric acid) = 5.716405454513771 og Q4,2 (Boric acid) = 10.136915721046030 11 = l.865807110460208E-002 21 = l.999981885303952E-002 RB31 = 9.794386762043307E-001 RB42 = 4.853547798890147E-002 H3B03 = 2.206484763917979E-001 B(OH)4 = 4.116874961640279E-003 B2(0H)7 = 9.737061834047802E-004 B3(0H)l0 = l.052155787200i49R-002 B4(0H)l4 = l.150437534639418E-004 CBEB = -l.584403425426444E-002 Total mass of dodecahydrate TSP, lb = 15271.971614412960000 PPM of dodecahydrate TSP = 4501.824555391811000 MW of dodecahydrate TSP = 380.160000000000000 Log (gamma H2 P04 )~* - = -8.849331878032397E-002 pKl (Phosphoric acid) = 2.300195859311883 pK2 (Phosphoric acid) = 7.223692862926470 pK3 (Phosphoric acid) = 12.359999656677250 RPl = 97341.37116b818630000 RP2 = 1.744966498625344 RP3 = l.916315168387457E-005 H3P04 = 4.346270682729801E-008 H2P04 = 4.230719476929861E-003 HP04 = 7.382463752324347E-003 P04 = l.414712726864973E-007 NA = l.161336816323372E-002 EP = l.584403309430455E-002 arge balance error = 7.087394526680067E-007
PALISADES NUCLEAR PLANT, EA-FC-949-01, REV. 3, SHEET B 22 AINMENT SUMP pH CONTROL USING PURE TRISODIUM PHOSPHATE, DODECAHYDRATE
- ption 1 = 1 (pK values are calculated)
Option*2 = O (quantity of TSP is calculated) Option 3 = O (input quantity is in PPM) Temperature, deg F = 140.000000000000000 A (constant of activity) = 5.493999719619751E-001 B (constant of activity) = 3.370999991893768E-001 Solution ionic strength = 6.806449750350123E-002 Total initial mass of water, .lb - 3392396.000000000000000 Total final mass of water, lb 3405902.539240167000000' Density of water, lb/cuft = 61.380001068115230 pK (water) = 13.016391055855620 pK (OH)* = 5.506792894939786 Log (gamma OH) = -1.095981609158290E-001 Equilibrium pH = 7.400000000000000 Log (gamma H) = -8.000689767957354E-002 Total mass of Boron, lb = 9675.113391999999000 PPM of Boron - . 2852.000000000000000 .:* MW of Boron = 10.810000000000000 Log Ql,1 (Boric acid) = 4.001002695309388 ,._
.~ '
Log Q2,1 (Boric acid) = 4.026454267104769 Log Q3,1 (Boric acid} = 5.716405454513771
. g Q4, 2 (Boric acid} = 10.136915721046030 11 = 3.120396631251012E-002 21 = 3.308730327530480E-002 RB31 .= 1.620363902156575 RB42 = 1.328403255252711E-001 H3B03 = 2.058131913~18118E-001 B(OH}4 = 6.422187889300094E-003 B2(0H)7 = 1.401547386626260E-003 B3(0H)10 = 1.412642214314443E-002 B4(0H)14. = 2.383541724202460E-004 CBEB = -2.242993110073886E-002 --------------------~--------------------------~----
Total mass of dodecahydrate TSP, lb ~ 23771.511742775620006 PPM of dodecahydrate TSP. = 7007.292704853920000 MW of dodecahydrate TSP' *. = 380.160000000000000 Log (gamma H2P04):~*;:* - . * = -1.060329578921950E-~01
- pKl (Phosphoric acid5 = 2.300195859311883 pK2 (Phosphoric acid} 7.223692862926470 pK3 (Phosphoric acid}.
RPl .
= 12.359999656677250' 160633~86114097240oooa RP2 = 3.121806717177089 RP3 = 3.716765256477811E-005 H3P04 = 2.726252361033691E-008 H2P04 .= 4.379284431975342E-003 HP04 = 1.367127955616967E-Od2 P04 = 5.081293686596683E-007 NA = 1.805109938003728E-002 EP = 2.242993020769118E-002 harge balance error = 3.730379881985611E-007 --------------------------------------~-------------
PALISADES NUCLEAR PLANT, EA-FC-949-01, REV. 3, SHEETB 23 I NTAINMENT SUMP pH CONTROL USING PURE TRISODIUM PHOSPHATE, DODECAHYDRATE tion 1 = 1 (pK values are calculated) Option2 = O (quantity* of TSP is calculated) Option 3 = O (input quantity is in PPM) Temperature, deg F = 140.000000000000000 A (constant of activity) = 5.493999719619751E-001 B (constant of activity) = 3.37099999189376SE-001 Solution ionic strength = 1.028371933874652E-001 Total initial mass of water, lb = 3392396.000000000000000 Total final mass of water, lb = 3412342.381041544000000 Density of water, lb/cuft * = 61:380001068115230 pK (water) = -13. 0163910558.55620 pK (OH) = 5.288570121245010 Log (gamma OH) = -1.278209346106067E-001 Equtlibrium pH = 7.600000000000000 Log (gamma H) = -8.930065436693936E-002 Total mass of Boron, lb = 9675.113391999999000 PPM of Boron = 2852.000000000000000 MW of Boron = 10.810000000000000 Log Q1,1 (Boric acid) = 4.007092808376419 _\ . Log Q2,l (Boric acid) = 4.026454267104769 Log Q3,l (Boric acid) = 5.716405454513771 og Q4,2 (Boric acid) = 10.136915721046030 11 = 5.230252878129896E-002 21 = 5.468700581806695E-002 RB31 = 2~67815268~162242 RB42 * = 3~6289039928659~4E-001 H3B03 = l.884958510398558E-001 B(OH)4 = 9.858809674167499E-003 B2(0H}7 = 1.943066824304140E-003 B3(0H)10 = 1.793662463365984E-002 B4(0H)l4 = 4.581235952700483E-004 CBEB = -3.065986299664587E-002 Total mass of dodecahydrate TSP, lb = 35105.646126364240000 PPM of dodecahydrate TSP = 10348.333781305080000 MW of dodecahydrate '!'SP*- = 380.160000000000000 Log (gamma H2 P04")~:::* < * = -1.229976923615795E-001 pKl (Phosphoric ~ci~) = 2.300195859311883 pK2 (Phosphoric *acid)*. = 7.223692862926470 pK3 (Phosphoric acid) = 12.359999656677250 RPl = 264729.191355902000000 RP2 = 5.562886693040591 RP3 = 7.161249503223943E-005 H3P04 = 1.531369849665248E-008 H2P04- = 4.053983019686903E-003 HP04 = 2.255184819402878E-002 P04 = l.614994116762704E-006 NA = 2.66074615215j095E-002 EP = 3.065986017449808E~002 arge balance error = 8.94344875695230iE-007
PALISADES NUCLEAR.* PLANT, EA-FC-9:49-01, REV. 3, SHEET B 24 ONTAINMENT SUMP pH CONTROL USING PURE TRISODIUM PHOSPHATE, DODECAHYDRATE _ption 1 = 1 (pK values are calculated) Option 2 = O (quantity -of TSP is calculated) Option 3 = o *- (input *quantity is in PPM) Temperature, deg F = 140.000000000000000 A (constant of activity) = 5.493999719619751E7001 B (constant of activity) = 3.370999991893768E-001 Solution ionic strength = 1.459556494105179E-001
----~------------------~----------------------------
Total initial mass of water, lb = 3392396.000000000000000 Total final mass of water, lb = 3420304.395245176000000 Density of water, lb/cuft = 61.380001068115230
- pK (water) = 13.016391055855620 pK (OH) = 5.071711876168798 Log (gamma OH) = ~1.446791796868185E-001 Equilibrium pH = 7.800000000000000 Log (gamma H) = -9.721454860240888E-002 Total mass-of Boron, lb = 9675.113391999999000 PPM.of Boron = 2852.000000000000000 MW.of Boron = 10.810000000000000 Log Ql,l (Boric acid) = 4.014288072359190 *'
Log Q2,1 (Boric acid) = 4.026454267104769 *;.~_ *, Log Q3,1 (Boric acid) = 5.716405454513771 og Q4,2 (Boric acid) = 10.136915721046030 11 = 8.761454222970363E-002 21 = 9.010365141238408E-002 RB31 = 4.412590019389590 RB42 = 9.851264249563839E-001 H3B03 = 1.695158424474143E-001 B(OH)4 = 1.485205293671277E-002 B2(0H)7 = 2.589184363344960E-003 B3(0H)10 = 2.149435687474024E-002 B4(0H)14 . - 8.134542601472937E-004 CBEB = -4.0570960766794B9E-002 Total mass of dodecahydrate TSP, lb= 49118.793496940370000 PPM of dodecahydrate.TSP * = 14479.086019715970000 MW of dodecahydrate TSP = *. 380 .160000000000000 Log (gamma H2P04J~> < = -1. 385303685974264E-001 pK1 (Phosphoric*,acid) _ = 2 .30_0195859311883 pK2 (Phosphoric acid} = 7.223692862926470 pK3 (Phosphoric acidl = 12.359999656677250 RPl = 434845.028552254400000 RP2 - = 9.815179420442306 RP3 = 1.357226048748363E~004 H3P04 = 7.8966-00806924400E-009 H2P04 = 3.433797603352795E-003 HP04 = 3.370~33957039247E-002 P04 = 4.574305039474813E-006 NA = 3.714171937538555E-002 -EP . . *. = 4. 057095846690048E-002 ~~~~~-b~l~~~~ ~~~~~- -------- ----- --=--~~~~g~~~G~g;~0855E-*007
PALISADES NUCLEAR PLANT, EA~FC-949-01, REV. 3, SHEET B 25 NTAINMENT SUMP pH CONTROL USING PURE TRISODIUM PHOSPHATE, DODECAHYDRATE ption 1 = 1 (pK values are calculated) Option 2 = O (quantity of TSP is calculated) Option3 = O *. (input quantity is in PPM) Temperature, deg F = 140.000000000000000 A (constant of activity) = 5.493999719619751E-001
~ (bonstant o~ activity) = 3.370999991893768E-001 Solution ionic strength = l.967576201767303E-001 Total initial mass of water, lb. = 3392396.000000000000000 Total final mass of water, lb = 3429717.485499160000000 Density of water, lb/cuft = 61~380001068115230 pK (water) = 13.016391055855620 pK (OH) = 4.856415142995901 Log (gamma OH) = -l.599759128597148E-001 Equilibrium pH = 8.000000000000000 Log (gamma H) * = -l.038893828694591E-001 Total mass of Boron, lb = 9675.113391999999000 PPM of Boron = 2852.000000000000000 MW of Boron = 10.810000000000000 Log Ql,l (Boric acid) = 4.022339364376881 "
-~
Log Q2,l (Boric acid) = 4.026454267104769 . ' Log Q3,l (Boric acid) = 5.716405454513771 og Q4,2 (Boric acid) = 10.136915721046030 11 = l.465292144630762E-001 21 = l.479241642001027E-001 RB31 = 7.244197991361396 RB42 = 2.655127831285668 H3B03 = l.497243764152220E-001 B(OH)4 - . 2.193899526209642E-002 B2(0H)7 = 3.316073515534907E-003 B3(0H)l0 = 2.431464036979345E-002 B4(0H)l4 = l.3343061475302Q7E-003 CBEB = ~5.225222699715758E-002
-------------.-------------~----~--------------------
Total mass. of dodecahydrate TSP, lb = 65685.834877010~80000 PPM of dodecahydrate TSP- = 19362.667234901430000 MW of dodecahydrate~ TSP *.. = 380.160000000000000 Log (gamma H2P04:);,*--: * --* * = -1.524917854993126E~001 pKl (Phosphoric acid) 2.300195859311883 pK2 (Phosphoric** acid).. 7.223692862926470 pK3 (Phosphori~ acid) = 12~359999656677250 RPl. .
= 711698.296293013000000 RP2 17.130991262273370 RP3 = 2.526150790527888E~004 H3P04 = 3.837702405056221E-009 H2P04 = 2.731286263358111E~003 HP04 = 4.678964111235510E-002 P04 = l.181976888844920E-005 NA = 4.953275098230406E-002 EP = 5.225222515217854E-002 harge balance error = 3.796163010829650E-007
PALISADES. NUCLEAR PLANT, EA-FC-949-01, REV. 3, SHEET B 26 NTAINMENT SUMP pH CONTROL USING PURE TRISODIUM PHOSPHATE, DODECAHYDRATE
~i~~-~-=-~--,~~-~~i~~~-~~~-~~i~~i~~~~j------------ ..
Option. 2 = O (quantity of TSP is calculated) Option 3 = o (input. quantity is in PPM)
= 160.000000000000000 Temperature, deg F A (constant of activity) =
- 5.640000104904175E-001 B (constant of ac~ivity) = 3.400000035762787E-001 Solution ionic strength = 2.343259196071316E-002 Total initial mass of water, lb - 3392396.000000000000000 Total final mass of water, lb = 3397449.891439517000000 Density of water, lb/cuft = 60.975000381469130 ..
pK (water) = 12.772801476477320 pK (OH). = . 5.699769612877179 Log (gamma OH) = -7.303186360014385E-002
- Equilibrium pH = 7.000000000000000 Log (gamma H) = -5.879497486228315E-002 Total mass of Boron, lb = 9675.113391999999000 PPM of Boron = 2852.000000000000000 MW of Boron = .. 10.810000000000000 Log Ql,1 (Boric aciid) = 3.785956369301289 Log Q2,1 (Boric acid) = 3.842583945556005 Log Q3,1 (Boric acid) = 5.414207451603573 Tog Q4,2 (Boric acid) = 9.494845015994617 11 = 1.219S13904674157E-002 21 = 1.389358532885846E-002 RB31 = 5.181289260660317E-001 RB42 = 1.2~5391193094153E-002 H3B03 = 2.331141063834662E-001 B(OH)4 = 2. 842858941i03278E.-003-B2(0H)7 = 7. 550078064138533E-004 B3(0H)10 = ~.563621104724308E-003 B4(0H)14 = 3.677731410542028E-005 CBEB = -1.023692430427805E-002 Total.mass of dodecahydrate TSP, lb= 8894.8472068856B3000 PPM of dodecahydrate TSP * = 2621.995547361123000 MW of dodecahydrate TSP. = 380.160000000000000 Log (gamma H2P04)\:-.::-' . . * = -7 .145882965008123E-002 pKl (Phosphoric a~~d} = 2.352614428726753 pK2 (Phosphoric ~cid)* = 7.252394943456045 pK3 (Phosphoric-acid) = 12.359999656677250 RPl = . 52341.287456329380000 RP2 = 9.161815579277981E-001 RP3. ~ 9.937897007487379E-006 H3P04 = 6.706593346299830E-008 H2P04 = 3.510317301913854E-003
_HP04 = 3.216087974488339E-003 P04 = 3.196115105748381E-008 NA = 6.726504303486714E-003 -!~~-b~l~~~~-~~~~~--------------c-=--~~~;~~~~;~;~~:::::~:::
PALISADES NUCLEAR PLANT, EA-FC-949-01, REV. 3, SHEET B 27
*-NTAINMENT SUMP pH CONTROL USING PURE TRIS9DIUM PHOSPHATE, D.ODECAHYDRATE
----~----------------------------------------------
ption 1 ~ 1 (pK values are calculated) .
- Option 2 = o (quantity of TSP is calculated)
Option 3 = . O (input quantity is. in. .PPM)
= 160.000000000000000 Temperature, -deg F A (constant of activity) = 5.640000104904175E-001 B (constant of activity) = 3.400000035762787E-001 Solution ionic strength = 3.984392585862676E-002
-------------------------------~---------~----------
Total initial mass of water, lb = 3392396.000000000000000 Total final mass of water, lb = 3400655.539739986000000 Density of water, lb/cuft = 60.975000381469730 pK (water) = 12.772801476477320 pK (OH) = 5.481830553054428 Log (gamma OH) = --9.097092342289402E-002 Equilibrium pH = 7.200000000000000 Log (gamma H) = -6.989035382639912E-002 Total mass of Boron, lb = 9675.113391999999000 i
- I
_ PPM of Boron = 2852.000000000000000
. Mw of Boron = 10.810000000000000 Log Ql,l (Boric acid) = 3.789027423605261 Log Q2,1 (Boric. acid) - 3.84258394555~005 . ~ .\
Log Q3,1 (Boric acid) = 5.414207451603573 og Q4,2 (Boric acid) = 9.494845015994617 11 = 2.028602099165960E-002 21 = 2.294845185230292E-002 RB31 = 8.558090969085144E-001 RB42 = 3.397691235361571E-002 H3B03 = 2.219131575593185E-001 B (OH) 4 . = 4.501734972573799E~003 B2(0H)7 = l.130106826748650E-003 B3(0H)l0. = 9.352464263967799E-003 B4(0H)l4 = 8.239789589135113E-005 CBEB = -l.515232512616004E-002 Total mass of* dodecahydrate TSP, lb = 14536. 7932635444700'00 PPM of dodecahydrate TSP = 4285 .1109550726010.00 MW of dodecahydrate TSP:*, = 380 .160000000000000 Log (gamma H2P04:t:-,. _,* ,* = -8. 854304535429794E-002 pKl (Phosphoric ~cid) = 2.352614428726753 pK2 (Phosphoric ~cid) = 7.2523949434~6045 pK3 (Phosphoric acid) = 12.359999656677250 RPl = 86283.671484192210000 RP2 = 1.633932806032534 RP3 - = l.917412569740128E-005 H3P04 = *4.832474578480584E-008 H2P04 = 4.169636489853290E-003 HP04 = 6.812905850001629E-003 P04 = l.306315131324917E-007
. NA - 1.098272129611384E-002
-;~~~-~~i~~~~-~~~~~---------~------=--~~;~;~;~~~~;~:::::~:::
PALISADES NUCLEAR PLANT, EA- FC- 9 4 9 - 01 , REV . 3 , .SHEET B 28 J
~INMENT SUMP pH CONTROL USING PURE* TRISODIUM PHOSPHATE, DODECAHYDRATE ption 1 =1 (pK values are calculated)
Option* 2 =O *(quantity* of TSP is calculated) Option 3 =O (input quantity is in PPM) Temperature, deg F = 160.000000060000000 A (constant of activity) = 5.640000104904175E-001 B (constant *of activity) = 3.400000035762787E-001 Solution ionic strength = 6.511282871914849E-002 Total initial mass of water, lb = 3392396.000000000000000 Total final mass of water, lb = 3405451.103461481000000 Density of water, lb/cuft = 60:975000381469730 pK (water)
- 12.772801476477320 pK (OH) = 5.262406385187619 Log (gamrria OH) = -1.103950912897034E-001 Equilibrium pH = 7.400000000000000 Log (gamtna H) = ~8.081476419464478E-002 Total mass of Boron, lb = 9675.113391999999000 PPM of Boron = 2852.000000000000000 MW of Boron = 10.810000000000000 Log Ql,l (Boric acid) = 3.793579161208241 Log Q2,1 (Boric acid) = 3.842583945556005' Log Q3,1 (Boric acid) = 5.414207451603573 g Q4,2 (Boric acid) = 9.494845015994617 11 = 3.397604130982709E-002 21 = 3.803448677205434E-002 RB31 = 1.418407654915693 RB42 *= 9.333235958984466E-002 H3B03 = 2.076017286746133E-001 B(OH)4 = 7.053484909440176E-003 B2(0H)7 = 1.639228481828143E-003 B3(0H)10 = 1.269094502B49263E-002 B4(0H)14 = 1.733628778225144E-004 CBEB = -2.173580126591354E-002
----------------~~----------------------------------
Total mass of dodecahydrate TSP, lb = 22976.985623365500000 PPM of dodecahydrate TSP . = 6773. 0847528.90139000
- MW of dodecahydra_te-.. TSP = 380 .160000000000000 Log (gamma H2P04):t. = -1. 068399786184253E-001 pKl (Pho~phoric ~~id} = 2.352614428726753 pK2 (Phosphoric acid) = 7.252394943456045 pK3 (Phosphoric acidf = 12.359999656677250 RPl = 142634.817208793100000 RP2 = 2.938495245763126 RP3 = 3.751459276784098E-005 H3P04 = 3.085699227163502E-008 H2P04 = 4.401281452277803E-003 HP04 = 1~293314462278375E-002 P04 . = 4.851816537313248E-0-07 J * *.* = 1. 733494211370756E.,.002 EP ** =. 2.1735800098j1618E-002
-----------------~--------------------------------
Charge balance error * = 4.806472063024240E-007*
PALISADES NUCLEAR PLANT, EA-FC-949-0l; REV. 3, . SHEET B 29 NTAINMENT SUMP pH CONTROL USING PURE TRISODIUM PHOSPHATE, DODECAHYDRATE
----------------------~--~------------------------ .
tion 1 = 1 (pK values are calculated) .
- Option 2 = o (quantity of TSP is calculated)
Option 3 = O (in~ut quantity is in PPM) Temperature, deg F = 160.000000000000000 A (constant of activity) = 5.640000104904175E~001 B (constant of ~ctivity) = 3.400000035762787E-001 Solution ionic strength = 1.001195537328729E-001 Total
- irii ti al. mass of water., lb = 3392396.000000000000000
.Total final mass of water, lb = 3411999.562682204000000 Density of water, lb/cuft = 60.975000381469730 pK (waterr = 12.772801476477320 pK (OH) = 5.043157896719128 Log (gamma OH) = -1.296435797581949E-001 Equilibrium pH 7.600000000000000 Log (gamma H) = -9.066957125650135E-002 Total mass of Boron, lb = 9675.113391999999000 PPM of Boron 2852.000000000000000 -~
MW of Boron = 10.810000000000000 Log Ql,1 (Boric acid) -. 3.799605482081160 :, Log Q2,1 (Boric acid) = 3.842583945556005 -- ' Log Q3,1 (Boric acid) = 5.414207451603573c og Q4,2 (Boric acid) 9.494845015994617 11 = 5.707521884104550E-002 21 = 6.301240400608825E-002 RB31 = 2.349900939442815 RB42 = 2.561705628858258E-001 H3B03 = 1.905919632432752E-001 B(OH)4 = 1.087807801145443E-002 B2(0H)7 = 2.288944255732696E-003 B3(0H)10 = 1.626909165403608E-002 B4(0H)14 = 3.380240159333402E-004 CBEB = -3.012118503608414E-002 Total mas~ of dodecahydrate TSP,* lb = 34502~275102518890000 PPM of dodecahydrate TSP = 10170.473937157950000 MW of dodecahydrate.TSP = 380.160000000000000 Log (gamma H2 P04¥:~=- ::.: = -1.247680240235870E-001 pKl (Phosphoric . a*qid)' = 2.352614428726753 pK2 (Phosphoric adid) = 7.252394943456045 pK3 (Phosphoric acid) = 12.359999656677250 RPl = 235588.233262517000000 RP2 = 5.271195558631566 RP3 = 7.308705514228812E-005 H3P04 = 1.758376402603374E-008 H2P04- = 4._142527900998292E-003 HP04 = 2.183607467324954E-002 P04 - 1~59593439373491QE-006 NA = 2.598021609240559E-002 EP = 3.012118322653820E-002
~ arge balance error = 5.516400813783409E-007 ~----------------~-~--------------------------------
PALISADES NUCLEAR_ PLANT, EA-FC-949-01, REV. 3, SHEET B 30 NTAINMENT SUMP pH CONTROL USING PURE TRISODIUM PHOSPHATE, DODECAHYDRATE ptlon 1 = 1 (pK values are calculated) _Option 2 = o (quantity of TSP is. calculated) Option 3 = O (input _quantity is in PPM)
----------------------------------~-----------------
Temperature, deg F = 160.000000000000000 A (constant of activity) = 5.640000104904175E-001 B (constant of _activity) = 3.400000035762787E-001 Solution ionic strength- = l.444156429024962E-001 Total initial mass of water, lb = 3392396.000000000000000 Total final mass .of water, lb = 3420259.864019156000000 Density of water, lb/cuft = 60.975000381469730 pK (water) = 12.772801476477320 pK (OH) = 4.825212992252721 Log (gamma OH) = -l.475884842246015E-001 Equilibrium pH = 7.800000000000000 Log (gamma H) = -9.909625018678556E-002 - Total mass of *Boron, lb = 9675.113391999999000 PPM of Boron = 2852.000000000000000 MW of Boron = 10.810000000000000 Log Ql,l (Boric acid) = 3.806853432578503 Log Q2,l (Boric acid) = 3.842583945556005 Log- Q3, 1 (Boric acid) = 5.414207451603573 og Q4,2 (Boric acid) = 9.494845015994617 11 = 9.586066563850816E-002 21 - - l.040808794704607E-001 RB31 = 3.881454140712339 RB42 = 6.989064226776085E-001 H3B03 = l.716649072785012E-001 B(OH)4 = l.645591227848991E~oo2 B2(0H)7 3.067142824863297E-003 B3(0H)l0 = l.963536728009848E-002 B4(0H)l4 = 6.069391115150201E-004 CBEB = -4.038723571566587E-002
---------------------------------------------~------
Total mass of dodecahydrate TSP, lb = 49040~427149942850000 PPM of dodecahyd~at~ TSP - 14455.985430339750000 MW of dodecahydrate TSP - = 380.160000000000000 Log (gamma H2P04')>-, -- * * = -1.413025160020728E-001 - pKl (Phosphoric acid)- = 2.352614428726753 pK2 (Phosphoric acid) = 7.252394943456045 pK3 (Phosphoric acid) = "12.359999656677250 - RPl = 387871.694311727200000 RP2 = 9.365103998874330 RP3 = l.401241201160385E~oo4_ H3P04 = 9.161831341225632E-009 H2P04 = 3.553615045319470E-003 HP04 _ = 3.327997447138135E-002 P04 = 4.663327406526331E-006 NA = 3.683826200593869E-002 EP = 4.03872320475143lE~002 harge balance error = 8.777467975431815E-007
PALISADES.NUCLEAR PLANT, EA-FC-949-01, _REV. 3, SHEET B 31 AINMENT SUMP pH CONTROL USING PURE TRISODIUM PHOSPHATE, DODECAHYDRATE tion 1 = 1 (pK values are calculated) Option. 2 = o (quantity of TSP is calculated) Option 3 = O (input quantity is in PPM) Temperature, deg F 160.000000000000000 A (constant of activity) = 5 .. 640000104904175E-001 B (constant of activity) = 3.400000035762787E-001 Solution ionic strength = 1.974096154127191E-001 Total initial mass of water, lb = 3392396.000000000000000 Total final mass of water, lb = 3430180.037135496000000 Density of water, lb/cu_ft = 60.975060381469730 pK (water) = 12.772801476477320 pK (OH) = 4.608880906420079 Log (gamma OH) - -l.639205700572442E-001 Equilibrium pH = 8.000000000000000 Log (gamma H) = -1.062008731280299E-001 Total mass of Boron, lb = 9675.11l391999999000 PPM of Boron = *2052.006000000000000 MW of Boron = 10.810000000000000 Log Ql,1 (Boric acid) = 3.815061956818073 . ' Log Q2,l (Boric acid) = 3.842583945556005 ..-.. *. Log Q3,1 (Boric acid) = 5.414207451603573 g Q4,2 (Boric acid) *- 9.494845015994617 11 = i.607611300682192E-001 21 = l.712785742384058E-001 RB31 = 6~387435757416388 RB42 = 1.892706192999791 H3B03 = l.516897787614695E-001 B(OH)4 =
- 2.438582025349199E-002 B2(0H)7 = 3.941083850141487E-003 B3 (OH) 10. = 2.22943B511733180E-002 B4(0H)l4 = l.002094030026275E-003 CBEB = -5.265007493458750E-002 Total mass of dodecahydrate TSP, lb = 66499.936852945040000 PPM of dodecahydrate TSP = 19602.645697302160000 i
MW of dodecahydrate: TSP:* = 380.160000000000000 ! Log (gamma H2P04").~:-"* _: * = -l.562027957827854E-001 _pKl (Phosphoric* ~C::idf * = 2.352614428726753 pK2. (Phosphoric. a~cid) * = 7. 252394943456045 pK3 (Phosphoric-~cid) = 12.359999656677250 RPl . = 636192.239399612200000 RP2 = 16.45i800856938230 RP3 = 2.636418328640116E-004 H3P04 = 4.485095876542646E-009* H2P04 2.853383189619633E-003
. HP04 = 4.694329200415742E-002 P04 = l.237621554464656E-005 NA = 4.980905589441758E-002 -~~~~-;;~i~~~~-~~~~~-----~----------=--~~~~~~~~~~;;~:::::~:::
PALISADES NUCLEAR PLANT, EA-FC-949-01, REV .. 3, SHEET B 32 NTAINMENT SUMP pH CONTROL .USING PURE TRISODIUM PHOSPHATE, DODECAHYDRATE tion 1 =1 (pK values are calculated) Option.2 =O (quantity of TSP is calculated) Option* 3 =o (input. quantity is in PPM) Temperature, deg F = 180.000000000000000 A (constant of activity) = 5.799999833106995E-001 B (constant of activity) = 3.431999981403351E-001 Solution ionic strength = 2.149392664772373E-002 Total initial mass of water, lb = 3392396.000000000000000 Total final mass of water, lb = 3397093.649960040000000 Density of water, lb/cuft = 60.569999694824220 pK (water) * = 12.556297435655330 pl<; (OH) = 5.483997228935669 Log (gamma OH) = ~7.230020671966537E-002 Equilibrium pH = 7.000000000000000 Log (gamma.H) = ~5.852847040870420E-002
-------------------------------------------~--------.
Total mass of Boron, lb = 9675.113391999999000 PPM of Boron = 2852.000000000000000 MW of Boron = 10.810000000000000 Log Ql,l (Boric acid) = 3.594370373583279 "°\ Log Q2,l (Boric acid) = 3.672769116099559 .. Log Q3,l (Boric acid} = 5.131562751601854 og Q4,2 (Boric acid} = 8.911380408079452 11 = l.28935688787S700E-002 21* = l.544443008975895E-002 RB31 = 4.441866714263065E-001 RB42 = 8.777805434478630E-003 H3B03 = 2.337875336033874E~oo1 B(OH)4 = 3.014355667509992E-003 B2(0H)7 .= 8.441402054994682E-004 B3(0H)l0 = 5.675832500893416E-003 B4(0H)l4 = 2.622233415539540E-005 CBEB = ~9.589939589090293E-003 Total mass of dodecahydrate TSP, lb 8267.860927923048000 PPM of dodecahydrate TSP = 2437.174471353889000 MW of dodecahydrate, TSP = 380.160000000000000 Log (gamma
- H2 P04 )l'~~ < * * * = -7.078603057935565E-002 pKl (Phosphoric ~ci~} = 2.408564909255364
. pK2 (Phosphoric a~id) = 7.288807119913147 pK3 (Phosphoric ~cid), 12.359999656677250 RPl = 45943.187334024340000. RP2 = 8.385924959016896E-001 RP3 = 9.861216557008965E-006 H3P04 = 7.353290033559170E-008 H2P04 = 3.378335815332231E-003 HP04 = 2.833047063373525E-003 P04 = 2.793729060812463E-008 NA = 6.211484348896699E-003 EP = 9.589939292738993E-003 arge balance error = 3.362730183892350E-007
~-----------~--~-------------------------------~----
PALISADES NUCLEAR PLANT, EA-FC-949-01, REV. 3, SHEET B 33 NTAINMENT SUMP pH CONTROL USING PURE TRISODIUM PHOSPHATE, DODECAHYDRATE ption 1 = 1 (pK*values are calculated) option 2 = o (qtiantity of TSP is calculated) Option 3 =.0 (input quantity is.in PPM) Temperature, deg F = 180.000000000000000.
.A (constant of activity) = 5.799999833106995E-001 B (constant of activity) = 3.431999981403351E-001 Solution ionic strength = 3.699258964409582E-002 Total initial mass of water, lb = 3392396.000000000000000 Total final mass of water, lb = 3400161.945757111000000.
Density of water, lb/cuft = 60.569999694824220 pK (water) = 12.556297435655330 pK (OH) _ = 5.265679137271531. Log * (gamma OH) = ~9.061829838380291E-002 Equilibrium pH = 7.200000000000000 Log (gamma H) = ~6.998007563131420E-002
-------------~-------------------------------------- -
Total mass. of Boron; lb = 9675.113391999999000
*PPM of Boron = 2052~000000000000000 MW of Boron = 10.810000000000000 Log Ql,1 (Boric acid) = 3.597228370798211 Log Q2,1 (Boric acid) = 3.672769116099559 Log Q3,l (Boric acid) = . 5.131562751601854 og Q4,2 (Boric acid) = 8.911380408079452 11 = 2.145602336917682E-002 21 = 2.553230236084703E-002 RB31 - = 7.343170536952893E-001 RB42 = 2.398955177097610E-002 H3B03 = 2.232908817658270E-001 B(OH)4 = 4.790934377291682E-003 B2(0H)7 = l.273010413460452E-003 B3(0H)l0. = 8.175166010542450E-003 B4(0H)14. = 5.963566801830583E~005 CBEB = ~l.436373202446859E-002 -------------------~---------------------~----------
Total.mass of dodecahydrate TSP, lb= 13668.067842467080000 PPM of dodecahydrate TSP_ = 4029.030762466138000
- MW of dodecahydrate. TSP :. = 380 .160000000000000 Log (gamma H2P04-)C_:: - = -8. 825221090604914E-002 pKl (Phosphoric.acid) = 2.408564909255364 pK2 (Phosphoric.a~id} = 7.288807119913147 pK3 (Phosphoric. acid} = 12. 359999656677250 RPl - = 75803.158471606540000 RP2 = 1.499510505679901 RP3 = 1.911003127684373E-005 H3P04 - 5.414616920384124E-008 H2P04 = 4.104450644789275E-003 HP04 = 6.154666861906162E-003-P04 = l.176158762295804E-007 NA . _ .* . _ . = 1. 025928926874087E_-002
-~!~~-b~i~~~~-~;;~;-------~-------~:--~~~~;~~~~;~~~:::::~::~
PALISADES NUCLEAR. PLANT, EA-FC-949-01, REV. 3, SHEET B 34 NTAINMENT SUMP pH CONTROL USING PURE TRISODIUM PHOSPHATE, DODECAHYDRATE tion 1 =1 (pK values are calculated) Option 2 = o (quantity of TSP is calculated) Option 3 = o (input quantity is in PPM)
----------------~-----------------------------------
Temperature, deg F = 180.000000000000000 A (constant of activity) = 5.799999833106995E-001 B (constant of activity) = 3.431999981403351E-001 Solution ionic strength = 6.153080144918349E-002 Total initi'al mass of water, lb = 3392396;000000000000000 Total final mass of water; lb = 3404872.399820018000000 Density of water; .lb/cuft = 60.569999694824220 pK (water) = 12.556297435655330 pK (OH) = 5.045453452850635 Log (gamma OH) = ~1.108439828046995E-001 Equilibrium pH = 7.400000000000000 Log (gamma H)
= -8.145861508458269E-002 Total mass of Borori, lb = 9675~113391999999000 PPM of Boron = 2852.000000000000000 MW of Boron = 10.810000000000000 ....-.
Log Ql,l (Boric acid) = 3.601582525219622 Log Q2,1 (Boric acid) = 3.672769116099559 \ Log Q3,1 (Boric acid) - 5.131562751601854 . " og Q4,2 (Boric acid) = 8.911380408079452 11 = 3.598562685882383E-002 21 = 4.239509992668975E-002 RB31 = 1.219296420248543 RB42 = 6.614141813703228E-002 H3B03 = 2.095858794849734E-001 B(OH)4 = 7.542079254024675E-003 B2(0H)7 = 1.862257371489815E-003 B3(0H)10 = 1.122523280896407E-002 B4(0H)14 = 1.276208344604501E-004 CBEB = -2.089376938222824E-002 Total mass of dodecahydrate TSP, lb - . 21958.. 468206786390000 PPM of dod~cahydrate TSP = 6472.849339165117000 MW of dodecahydrateTSP*:.. = 380.160000000000000 Log (gamma H2P04k:' c . = -1. 073243316977815E-001 pKl (Phosphoric: -acid) =
- 2. 408564909255364 pK2 (Phosphoric acid) = 7.288807119913147 pK3 (Phosphoric-~tid} = 12.359999656677250 RPl - 125533.437820012700000 RP2 = 2.711226964842560 RP3 = 3.772437052605452E-005
- H3P04 = 3.532816772576940E-008 H2P04 = .4.434866346497851E~003 HP04 = 1.202392922409778E-002 P04 = 4.535951612289199E-007 NA = 1.645928449392459E-002
-EP .* * . = 2. 089376790159666E-002 -~;~;-~;i;~~;-;;~;;----------------=--~~;~~;~i;~~~;9298E-007
PALISADES NUCLEAR PLANT, EA-FC-949-01, REV. 3, SHEET B 35 NTAINMENT SUMP pH CONTROL USING PURE TRISODIUM PHOSPHATE, DODECAHYDRATE ption_l =1 (pK values a~e calculated) Option- 2 = O (quantity of TSP is calc~lated) Option 3 =O (input quantity is in PPM) Temperature, deg F = 180.000000000000000 A (constant of* activity) = 5.799999833106995E-001 B (constant of activity) = 3.431999981403351E-001 Solution ionic strength = 9.649815505399069E-002 Total initial mass of water, lb = 3392396."000000000000000 Total final mass of water, lb = 3411478.293314361000000 Density of water, lb/cuft 60.569999694824220 pK (water) * = 12.556297435655330 pK (OH) = 4.825085951689099 Log (gamma OH) = -l.312114839662363E-001 Equilibrium pH = 7.600000000000000 Log * (gamma H) = -9.194753837i33604E-002 Total mass of Boron, lb = 9675.113391999999000 PPM of Boron = 2852.000000000000000 MW of Boron = 10.810000000000000 Log Ql,1 (Boric acid) = 3.607504334602671" -* Log Q2,1 (Boric acid)* = . 3.672769116099559 ..., . Log Q3,1 (Boric* acid) = 5.131562751601854 og Q4,2 (Boric acid) = 8.911380408079452 11 = 6.059243182956817E-002 21 = 7.041791540313579E-002 RB31 = 2.025241415184281 RB42 = 1.824771564546242E-001 H3B03 = 1.929520150901125E-001 B(OH)4 = l.169143182072545E-002 B2(0H)7 = 2.621692800024803E-003 B3(0H)10 =. 1.454871898409999E-002
-B4 (OH) 14 = 2:529331650825655E~004 CBEB _ = -2.938263828880732E-002 ~------------------~--------------------------------
Total mass of dodecahydrate TSP, lb = 33584.843210898490000 PPM of dodecahydrate TSP = 9900.036201816794000 MW of dodecahydrate TSP _ -- 380.160000000000000 Log (gamma H2 P04~)i'--. - - = -1.263081386153478E-001-pKl (Phosphoric acid) = 2.408564909255364 pK2 *(Phosphoric .acid) = 7.288807119913147 pK3 (Phosphoric acid) = 12.359999656677250 RPl = 207846.745845546500000 RP2 = 4.899111185908763 RP3 = 7.439453548356642~-005 H3P04 = 2.049054303650637E-008 H2P04 = 4.258892690745973E-003 HP04 = 2.086478882081867E-002 P04 = 1.552226272287514E-006 NA = 2.512525422837996E-002 EP = 2.938263567393972E-002 ha~ge balance error = 7.711613940380125E-007
-------------------------------~--------------------
PALISADES NUCLEAR PLANT, EA-FC-949-01, REV. 3,. SHEET B 36 AINMENT SUMP pH CONTROL USING PURE TRISODIUM. PHOSPHATE, DODECAHYDRATE
- ption 1 = 1 (pK.values are calculated)
Option 2 = O (quantity of TSP is calculated) Option 3 = O (input quantity is in PPM) Temperature, deg F = 180.000000000000000 A (constant of activity) = 5.799999833106995E-001 B (constant of activity) = 3.431999981403351E-001 Solution ionic strength = 1.417665543422301E-001 Total initial mass of water, lb = 3392396.000000000000000 Total final mass of water, lb = 3419997.354780374000000 Density of water, lb/cuft = 60.569999694824220 pK (water) = 12.556297435655330 pK (OH) = 4.605925729742969 Log (garmna OH) = -1.503717059123654E~001 Equilibrium pH = 7.800000000000000 Log (garmna H) = -1.009624745103209E-001 Total mass of Boron, lb = 9675~113391999999000 PPM of Boron = 2852.000000000000000 MW of Boron = 10.810000000000000 Log Ql., 1 (Boric acid) = 3.614773596463086 *--, Log- Q2, 1 _(Boric acid) = 3.672769116099559 ,., . Log Q3,1 (Boric acid). - 5.131562751601854 g Q4,2 (Boric acid) = 8.911380408079452 11 - 1.020581911420261E-001 21 = 1.166388922422492E-001 RB31 = 3.354571259854428 RB42 - . 5.006439226382773E-001 H3B03 ' - 1.741113764977185E-001 B(OH)4 = 1.776949214260541E-002 B2(0H)7 = 3.535881357697496E-003 B3(0H)10 = 1.770591882653346E-002 B4(0H)14 = 4.600844387850026E-004 CBEB = -3.995621966518254E-002 Total mass of dodecahydrate TSP, lb = 48578.391431791880000 PPM of d~decahydrate TSP = 14319.787970446810000 MW of dodecahydrate** TSP** - = 380.160000QOOOOOOOO Log ( garmna H2 P04}r' * ~: . . *. * = -1.439667290633073E-001 pKl (Phosphoric a:ci_d) * * = 2.408564909255364 pK2 (Phosphoric *acid) .. = 7.288807119913147 pK3 (Phosphoric acid) - = 12.359999656677250 RPl = 343085.070388491700000 RP2 = 8.771887784573462 RP3 = 1.444887349344950E-004 H3P04 = 1.08l160986550734E-008 H2P04 = 3.709301931720498E-003 HP04 = 3.253758030415378E-002 P04 = 4.701313815976721E-006 A p
= 3.625159436130011E-002
= 3.995621660242436E-002 harge balance error = 6.960954615248541E-007
-----------------------------~----------------------
PALISADES NUCLEAR PLANT, EA-FC-949-01, REV. 3,. SHEET B 37
'AINMENT SUMP pH CONTROL USING PURE TRISODIUM PHOSPHATE, DODECAHYDRATE ption 1 =*1 (pK values are calculated)
Option 2 = O (quantity of TSP is calculated) Option 3 = o (input quantity is in PPM) Temperature, deg F = 180.000000000000000 A (constant of activity) = 5.799999833106995E-001 B (constant of activity) = 3.431999981403351E-001 Solution ionic strength = 1.968046076389157E-001 Total initial mass of water, lb = 3392396.000000000000000 Total final mass of water, lb = 3430394.579417104000000 Density of water, lb/cuft = 60.569999694824220 pK (water) = 12.556297435655330 pK (OH) = 4.388441684237592 Log (ganuna OH) = -1.678557514177424E-001 Equilibrium pH = 8.000000000000000 Log ( ganuna H) ~ -1.085543070635583E-001 Total mass of Boron, lb = 9675.113391999999000 PPM of Boron = 2852.000000000000000 MW of Boron = 10.810000000000000 Log Ql,1 (Boric acid) = 3.623112081352490 Log Q2,1 (Boric acid) = 3.672769116099559 Log Q3,1 (Boric acid) = 5.131562751601854
- g Q4, 2 (Boric acid) - - 8.911380408079452 11 = 1.716605094639080E-001 21 = 1.924542170862323E-001 RB31 = 5.535043&69710283 RB_42 = 1.363003715175355 H3B03 = 1.539465864961664E-001 B(OH)4 = 2.642654946816150E-002 B2(0H)7 = 4.561078628038292E-003 B3(0H)10 = 2.019441413079544E-002 B4(0H)14 = 7.655565806921825E-004 CBEB = -5.275402701338246E-002 Total mass of dodecahydrate TSP, lb = 66877.546654468640000 PPM of dodecahydrate TSP = 19713.956346625990000 MW of dodecahydrate TSP = 380.160000000000000 Log (ganuna H2P04 )- _, - = -1.599140744932961E-001 pKl (Phosphoric acid) = 2.408564909255364 pK2 (Phosphoric acid) = 7.288807119913147 pK3 (Phosphoric acid) = 12.359999656677250 RPl = 564090.992947618800000 RP2 = 15.521550547814410 RP3 = 2.751507594082621E-004 H3P04 = 5.337449058587080E-009 H2P04 = 3.010806939265719E-003 HP04 = 4.673239209752324E-002 P04 = 1.285845317459819E-005
- t_rA = 4.975606282741261E-002 EP = 5.275402198840186E~oo2 harge balance error = 8.962489179568292E-007
PALISADES NUCLEAR PLANT, EA-FC-949-01, REV. 3, SHEET B 38
~tion 1 =*1 (pK values are calculated) **~~=~~~ ~~:-~~ ~~~~~~ ~~ =~~ :~~ -=~=~~~=~ :~~~PHATE, . bODECAHYDRATE Option2 = O (quantity of TSP is calculated)
Option 3 = O (ipput quantity is in PPM) Temperature, deg F = 200.000000000000000 A (constant of activity) = 5.874000191688538E-001 B (constant of activity) = 3.465999960899353E-001 Solution io~ic strength = 1;932694096788192E-002 Total initial mass of water, lb = 3392396.000000000000000 Total final mass of water, lb * = 3396689.902749495000000 Density of water, lb/cuft = 60.090000152587890 pK (water) = 12.364415379836310 pK (OH) = . 5.294538704324125 Log (gamma OH) = -6.987667551218336E-002 Equilibrium pH = 7.000000000000000 Log (gamma H) = -5.695978780796808E-002 Total mass of Boron, lb = 9675.113391999999000 PPM of Boron = 2852.000000000000000 MW of Boron = 10.810000000000000 Log Ql,l (Boric acid) = 3.417036161658841 Log Q2,1 (Boric acid) = J.515653797917020 Log Q3,1 (Boric acid) = 4.866672991342644 g Q4,2 (Boric acid) = 8.380631667713866 11 = 1.325859355224853E-002 21 = 1.663853534417100E-002
*RB31 = 3.733655873092973E-001 RB42 = 6.188056338961948E-003 H3B03 = 2.342273956802584E-001 B(OH)4 = 3.105525838126239E-003 B2(0H)7 = 9.128311942015741E-004
- B3 (OH) 10. = 4.797857620521784E-003 B4(0H)l4 = 1.862537465697771E-005 CBEB = -8.858426682801948E-003 Total mass of dodecahydrate TSP, lb = 7557.265028272697000 PPM of dodecahydrate TSP . = 2227.707209969796000 MW of dodecahydrate~TSP = 380.160000000000000 Log (gamma H2 P04ft:: **.. = -6.846522111471749E~oo2 pKl (Phosphoric a:-c:'id) * = 2.467726057435776 pK2 * (Phosphoric acid) . = 7.332228123826436 pK3 (Phosphoric ~cid) - . 12.359999656677250 RPl = 39878.~32082710560000 RP2 = 7.467367744813772E~001 RP3 = 9.601220613995847E-006 H3P04. = 8.087019563134231E-008 H2P04 = 3.224984691019564E-003 HP04 = 2.408214665923770E-003 p*o4 = 2.312180029339442E-008 NA = 5.633303348939259E~oo3 p = 8.858426658549792E-003 arge balance error = 3.339373770251941E-008
PALISADES NUCLEAR PLANT, EA-FC-949-01, REV. 3, SHEET B 39 NTAINMENT SUMP pH CONTROL USING PURE TRISODIUM PHOSPHATE, DODECAHYDRATE ption 1 =1 (pK values are calculated) Option 2 =o (qriantity of TSP is calculated) Option 3 =O (input quantity is in PPM) Temperature; deg F = 200.000000000000000 A (constant of activity) = S.874000191688538E-001 B (constant of activity) =
- 3.465999960899353E-001 Solution ionic strength = 3.359642875758770E-002
----------~---~-~------------------------------~----
Total initial mass of water, lb = 3392396.000000000000000 Totai final mass of water*, lb = 3399562.732849194000000 Density of water, lb/cuft 60.090000152587890 pK *(water) = 12.364415379836310 pK (OH) = 5.076334054304878 Log (gamma OH) = -8.808132553143111E-002 Equilibrium pH = 7;200000000000000 Log (gamma H) = -6.850036423259383E-002 Total mass of Boron, lb = 9675.113391999999000 PPM of Boron = 2852.000000000000000
*MW of Boron = 10.810000000000000
. Log Ql,l (Boric acid) = 3~419631432107686 Log Q2,1 (Boric acid) = 3.515653797917020 Log Q3,l (Boric acid) = 4.866672991342644 cg Q4,2 (Boric acid) = 8.~806316677138~6 11 = 2.204435406399876E-002 B21 = 2.749917999029810E-002 RB31 = 6.170763997684846E~001 RB42 = 1.690299095630573E-002 H3B03 = 2.245551924801904E-001 B(OH)4. = 4.950174169942708E-003 B2(0H)7 = 1.386647098902439E-003 B3(0H)l0 = 6.9872B1539286241E-003 B4(0H)l4 = 4.297896636~713i3E-005 CBEB = -1.341837501069909E-002 Total mass of dodecahydrate TSP, lb = 1~613~452458056oooooa PPM of dodecahydrate TSP, = 3718.154501436743000. MW of* dodecahydrate.TSP = 380.160000000000000 Log (gamma H2 PQ4:y~r * - = -8~585037149909318E-002 pKl (Phosphoric ~cid) = 2.467726057435776 pK2 (Phosphoric acid)** = 7.332228123826436 pK3 (Phosphoric *acid) RPl . .
= 12.359999656677250
= 65784.611471938620000 RP2 = 1.334513558943424 RP3 = 1.858883621172111E-005 H3P04 = 6.116981161835491E-008 H2P04 = 4~024032291125155E-003 HP04 = 5.370125654132692E-003 P04 = 9.982438622103427E-008 NA
- EP
= 9.394318939455687E~003.
= 1.341837374581786E-002 arge balance error 8.634971931863616E-007
PALISADES NUCLEAR PLANT, ~A-FC-949-01, REV. 3, SHEET B 40 NTAINMENT SUMP pH CONTROL USING PURE TRISODIUM PHOSPHATE, DODECAHYDRATE
-----------------~-------------------------------- .
tion 1 =1 (pK values are calculated) * . * *
. Option 2 = O (quantity of TSP is calculated)
Option ~ =O (input quantity is in PPM) Temperature, deg F
= 200.000000000000000 A (constant of activity) = 5.874000191688538E-001 B (constant of activity) = 3.465999960899353E-001 Solution ionic strength = s.686776524098034E~oo2 Total initial mass of water,* lb = 3392396.000000000000000 Total final mass of water, lb = 3404093.615847187000000 Density of water, lb/cuft = 60~090000152587890 pK (water) 12.364415379836310 pK (OH) = 4.855768498923847 Log (gamma OH) = -1.086468809124618E-001 Equilibrium pH = . . 7.400000000000000 Log (gamma H) = -8.032484613029300E-002 Total mass of Boron, lb
= 9675.113391999999000 PPM of Boron = 2852.000000000000000 MW*of Boron = 10.810000000000000 *-?
Log Ql,1 (Boric acid) = 3.423705017270822 Log Q2,1 (Boric acid) = 3.515653797917020 .-:::: \ Log Q3,1 (Boric acid) = 4.866672991342~44 og Q4,2 (Boric acid) = 8.380631667713866 11 = 3.697741252403432E-002 21 = 4.569674845289484E-002 RB31 = . 1.025426395492047 RB42 = 4.667611163446000E-002 H3B03 = 2.116258517910658E-001 B(OH)4 = 7.825376422428386E-003 B2(0H)7 = 2.046551780219036E-003 B3(0H)10 = 9.718755352002915E-003 B4(0H)l4 = 9.362019609669996E-005 CBEB = -1.979181504426460E-002 Total mass of dodecahydrate TSP; lb 20587.808775303630000 PPM of dodecahydr_ate TSP* = 6068. 810591482727000. MW of dodecahy_drate TSP = . 380 .160000000000000 Log (gamma H2P04H: o_ *' = -1. 052724797090284E-001 pKl (Phosphoric acid)~-- - 2 .467726057435776 pK2 (Phosphoric acid)- - 7 .332228123826436 pK3 (Phosphoric a*cid). = 12. 359999656677250 RPl , - = 109030.102977951600000 RP2 = 2.418740715518026 RP3 3.684365796106194E-005 _H3P04 = 4.108071030883400E-008 H2P04 = 4.479034075379568E-003
- HP04 = 1. 083362208431320E-002 P04 - 3.991502665538424E-007 NA = 1.531309639066963E-002
-~~~~~b;i~~~-~~~;;~----------------=--~~~~;~;~~~~~~:::::~::~
PALISADES NUCLEAR PLANT, EA-FC-949-01, REV. 3, SHEET B 41 NTAINMENT SUMP pH CONTROL USING PURE. TRISODIUM PHOSPHATE, DODECAHYDRATE ption 1 = 1 (pK values are. calculated) Optiol1. 2 = 0 (qtiantity of TSP is calculated) Option 3 = o (input quantity is in PPM) Temperature, deg F* = 200.000000000000000 A (constant of activity) = 5.874000191688538E-001 B (constant of activity) = 3.465999960899353E-001 Solution ionic strength = 9.113459320124827E-002 Total initial-mass of water, lb = 3392396.000000000000000 Total final mass of w*ater, lb = 3410642.880366158000000 Density of water, lb/cuft = 60.090000152587890 pK (water) = 12.364415379836310 pK (OH) = 4.634620974136332 Log (gamma OH) = -1.297944056999773E-001 Equilibrium pH = 7.600000000000000 Log (gamma H) = -9.132578126670932E-002
-------------------------------------------~--------
Total mass of Boron, lb = 9675.113391999999000 PPM of Boron - 2852.000000000000000 ., MW of Boron = 10.810000000000000
= -g Log Ql,1 (Boric acid) 3.429425197289648 l .
Log Q2,1 (Boric acid) = 3.515653797917020 Log Q3,1 (Boric acid) = 4.866672991342644 Q4,2 (Boric acid). = 8.380631667713866 . 11 . . = . 6.234537236454438E-002 21 = 7.603837442282552E-002 RB31 = 1.706286745628030 RB42 = 1.292378484988718E-001 H3B03 = 1.955492528009053E-001 B(OH)4 = li219159098148087E-002 B2(0H)7 = 2.907~70199731201E-003 B3(0H)l0 = 1.275911346958594E-002 B4(0H)14 . - 1.889793551843581E-004 CBEB = -2.825949654387173E-002 Total mass of dodecahydrate TSP, lb -. 32114.518334693590000 PPM of dodecahydrate TSP_ = 9466.618382610282000 MW of dodecahydrat~ Tsp** = 380 .160000000000000 Log (gamma H2P04'h~i*--~:... = -1. 250074811735827E-001 pKl (Phosphoric*>a.:c~d). .- 2. 467726057435776 pK2 (Phosphoric *a.pid}-* *: - 7 .332228123826436 pK3 (Phosphorici acid} = 12.359999656677250 RPl . = 180834.555815020300000 RP2 * = 4. 393334993939487 RP3 = 7.328882335460741E-005 H3P04* = 2.444299159597357E~008 H2P04 = 4.420137528048153E-003 HP04 = 1.941914487~99913E-002 P04 = 1.423206278807785E-006 NA . = 2.384073005731769E-002 t1;;;~-b;1;~~~-~;;~;-----~---"------:--;~~~~;~~~~;~~:::::~:::
PALISADES NUCLEAR PLANT, EA-FC-949-01, REV. 3, SHEET B 42 ONTAINMENT SUMP pH CONTROL USING PURE TRISODIUM PHOSPHATE, DODECAHYDRATE ption 1 =1 (pK values are calculated) optiori 2 =*o (quantity of TSP is calculated) Option 3 = O (input quantity _is in PPM) . Temperature, deg F = 200.000000000000000 A (constant of activity) = 5.874000191688538E-001 B (constant of activity) = 3.465999960899353E-001
- Solu.tion ionic strength =
- l.367240537501991E~001 Total initial mass .of water, lb = 3392396.000000000000000 Total final mass of water, lb = 3419309.244224457000000 Density* of water, lb/cuft = 60.090000152587890 pK (water) = 12.364415379836310 pK (OH) = 4.414474384345155 Log (gamma OH) = -1.499409954911541E-001 Equilibrium pH = 7.800000000000000 Log (gamma H) = -1.008612712308426E-001 Total mass of Boron, lb = 9675.113391999999000 PPM of Boron = ~ 2852.000000000000000 MW of Boron = 10.810000000000000 Log Ql,l (Boric a~id) = 3.436626664098903 Log Q2,1 (Boric acid) = 3.515653797917020 Log Q3,1 (Boric*acid) * = 4.866672991342644 og Q4,2 (Boric acid) = 8.380631667.713866 11 - 1.052330795349452E-001 21 = 1.26234~922181991E-001 RB31 = 2.832687114403099 RB42 = 3.561909649177585E-001 H3B03 = 1.769462S66909873E-001 B(OH)4 = 1.862059950377349E-0~2
.B2(0H)7 = 3.952411667503143E-003 B3(0H)10 = 1.569360601861917E-002 B4(0H)14 = 3.491792414595790E-004 CBEB = -3.900346143313935E-002 Total mass of dodecahydrate TSP, lb = 47367.319646732550000 PPM of dodecahydrate TSP = 13962.791975563160000 MW of dodecahyd:t'.ate TSP- = 380.160000000000000 Log (gamma H2 P04 h'..::- _ _ = -1.435890562893027E-001 pKl (Phosphoric-- -ac;:_id) = 2.467726057435776
. pK2 (Phosphoric-~9id) = 7.332228123826436 pK3 (Phosphoric:acid) = 12:359999656677250 RPl 299132.085525731900000 RP2 = 7.916606253017228 RP3 = 1.438618446777131E-004 H3P04 = .* 1.314851168650552E-008 H2P04 -
- 3.933141722343855E-003 HP04 = 3.1137134353i1032E-002 P04 = 4.479445586016241E-006 NA = 3.507476866955187E-002 EP = 3.900345724333308E~002 arge balance error = . 9.282210142511122E-007
PALISADES NUCLEAR PLANT, EA-FC-949-01, REV. 3, SHEET B 43 NTAINMENT SUMP* pH CONTROL USING PURE TRISODIUM PHOSPHATE, DODECAHYDRATE ption 1 = 1 (pK values* are calculated) Option 2 = O (quantity of TSP .is calculated) Option 3 =O (input quantity is in PPM) Temperature, deg F = 200.000000000000000 A. (constant of. activity) = 5.874000191688538E-001. B (constant of activity) = 3.465999960899353E-001 Solution ionic strength = *l.931924099454357E-001 Total initial mass of water, lb = 3392396.000000000000000 Total final mass of water, lb = 3430078.462345379000000 Density *of water, lb/cuft = *60.090000152587890 pK (water) 12.364415379836310 pK (OH) = 4.196020198997398 Log (gamma OH) = -l.683951808389112E-001 Equilibrium pH = 8.000000000000000 ..
. Log (gamma H) * = -l.088882135061435E-001 Total mass of Boron, lb = 9675.113391999999000 PPM of Boron = 2852.000000000000000' MW of Boron = 10.810000000000000 Log Ql,l (Boric acid) = 3.445016014945934 '
Log Q2,l (Boric acid) = 3.515653797917020 Log Q3,1 (Boric acid) = 4.866672991342644 og Q4,2 (Boric acid) = 8.380631667713866 11* = l.774172388192364E-001 21 = 2.08753419~434676E~001 RB31 = 4.684387272704618 RB42 = 9.740724712810681E-001 H3B03 = l.566928453445537E-001 B (OH)'4 = . 2.780001196376036E-002 B2(0H)7 = 5.125449190740585E-003 B3(0H)l0 = 1.802188827320638E-002 B4(0H)l4 = 5.872025558189017E-004 CBEB = -5.2185418280215S1E-002 Total mass of dodecahydrate TSP, lb - 66321.142895720.080000 PPM of dodecahydrate TSP = 19549.941367611590000 MW of dodecahydrate:_ TSP*-- = . 380 .160000000000000 Log (gamma H2P04£~;: __:> - = -l.604250326476980E-001 pKl (Phosphoric~i~id} = 2.467726057435776 pK2 . (Phosphoric a"ttid)* = 7. 332228123826436 pK3 (Phosphoric. aCid) = . 12. 359999656677250 RPl .. = 492832.086278754900000 RP2 = 14.094412380209800 RP3 = 2.767741378148136E-004 H3P04 = 6.579226906157597E-009 H2P04 = 3.~42454122262966E-003 HP04 = 4.S70048552308546E-002
- P04 = 1.264871247837035E-005 NA = 4.895559493705370E7002
-~~~~-b~l~~~~-~;;;;----------------=-"~~;~~;~;;~;;;:::::~:::
. PALISADES NUCLEAR PLANT,. . EA-FC-949-01, REV. 3, SHEET B 44 NTAINMENT SUMP pH CONTROL USING PURE TRISODIUM PHOSPHATE, DODECAHYDRATE
------------------~--------------------------------
- Option 1.= 1 (p~. values are calculated) .
Option 2 =
- O . (quantity of TSP is calculated)*.
_Option 3 = O (input quantity is in PPM) Temperature, oeg F = 220.00000000000-0000 A (constant of activity) = 6.086000204086304E-001
- B (constant of activity) = 3.488000035285950E-001 Solution ionic strength * = 1.728787587252385E-002 Total initial mass of water, lb - 3392396.000000000000000 Total final mass of water, lb = 3396301.399236262000000 Density of water, lb/cuft = 59.610000610351560 pK (water) = 12.194981726027960 pK (OH) = . 5 .126028901500891 Log (gamma OH) = -6.895282452707058E-002 Equilibrium pH * = 7.000000000000000 Log (gamma H) = -5.664175067628854E-002 Total mass of Boron, lb = 9675.113391999999000 PPM of Boron. = 2852.000000000000000 MW of Boron . - 10.810000000000000 ,*:-*\
-g
-Log Ql,1 (Boric acid) = 3.252919970288097 '*.\
Log Q2,1 (Boric acid) = 3.370046182103526. ..-~ "' Log Q3,1 (Boric acid) = 4.617952654293429 Q4,2 (Boric acid) = 7.897434827316323 11 . = 1.339340707319654E-002 21 . = 1. 753950290237135E-002 RB31 = 3.104014581846572E-001 RB42 = 4.419539545989562E-003 H3B03 = 2.344985851448322E-001 B(OH)4 = 3.140735008933378E-003 B2(0H)7 = 9.644900108756220E-004 B3(0H)10 = 4.002620662522916E-003 B4 (OH) 14. = 1.336404505799214E-005 CBEB -* -8.141941038618117E-003
-------------------------------------------~--------
Total mass of dodecahydrate TSP;'lb = 6873.435272306781000 PPM of dodecahydrate TSP' * - 2026 .129989631747000 MW of dodecahydrate*. TSP * = 380 .160000000000000
- Log (gamma H2P04J,~:;.': ~:. * . = -6. 761677958891721E-002 pKl *(Phosp6oric-a~id) = 2.529814441505644 pK2 (Phosphoric *acid). = 7. 382039228957843 pK3 (Phosphoric a_cid) 12 .359999656677250 RPl = 34498.668864040070000 RP2- = 6.619285447042326E-001 RP3 9.507892029064046E-006 H3P04 = 8.865740704695922E-008 H2-P04 * = 3. 05856252.8057459E-003 HP04 = 2.024549843083972E-003 P04 = 1.924920131550096E-008
. A . .. .* * = 5. 083220277749793E-003 EP . . .* . = 8.141940871420030E-003
----~---------------------------------------- -
- Charge balance error = 2.825099781562182E-007
PALISADES NUCLEAR PLANT, EA-FC-949-01, REV. 3, SHEET B 45 AINMENT SUMP pH CONTROL USING PURE TRISODIUM PHOSPHATE, DODECAHYDRATE p i~~-~-=-~--~~;-~;i~;;-;;;-~;i~~i;~;~~-------~---- Option 2 = o (quantity of ,TSP is calculated) Option 3 = o (input quantity is in PPM) Temperature, deg F = 220.000000000000000 A (constant of activity) 6.086b00204086304E-001 B (constant of activity) = 3.488000035285950E-001 Solution ionic strength = 3.034581624221602E-002 Total initial mass of water, lb = 3392396.000000000000000 Total final mass of water, lb = 3398975.812162375000000 Density of water, lb/cuft = '59.610000610351560 pK (water) = 12.194981726027960 pK (OH) = 4.907555668029735 Log (gamma OH) = -8.742605799822656E-002 Equilibrium pH 7.200000000000000 Log (gamma H) = -6.853826513002230E-002 Total mass of Boron, lb = 9675.113391999999000 PPM of Boron = 2852.000000000000000 MW of.Boron = 10.810000000000000 Log Ql,1 (Boric acid} = 3.255161898036977 Log Q2,1 (Boric acid} = 3.370046182103526 *.:~ \ Log Q3,1 (Boric acid) = 4.617952654293429 g Q4,2 (Boric acid} = 7.897434827316323 11 = 2.226928277681666E-002 21 = 2.900617842264615E-002 RB31 = 5.133304021710000E-001 RB42 = 1.208713829889122E-002 H3B03 = 2.256373345165393E-001 B(OH)4 = 5.024781607355987E-003 B2(0H)7 = 1.476768552235143E~003
.B3(0H)10 = 5.896982899507417E-003 B4(0H)l4 = 3.133050059773928E-005 CBEB = -*1. 247349230429233E-002 Total *mass of dodecahydrate TSP, lb = 11580.471674402380000 PPM of -dodecahydrate, TSP: = 3413. 655621101540'000 MW of dodecahydrat;.e:i-Ts:P~ -. ,- . = 380.160000000000000
, Log (gamma H2P04):-'::.'.* : . * * = -8.528932577085151E-002 pKl (Phosphoric acid) - = 2.529814441505644 pK2 (Phcisphoric a~id) 7.382039228957843 pK3 (Phosphoric acidt = 12.359999656677250 RPl , = 56947.528978377840000 RP2 = 1.185301266241955 RP3 = 1.846915270002022E~oo5 H3P04 6.876309871817032E-008 H2P04 = 3.915888556896061E-003 HP04 = 4.641507664974780E-003 P04 = 8.572471385986556E-008 NA p
= 8.557550709683419E-003
= 1.247349106806306E-002
----~------------------------------~-------------
harge balance. error = 8.921601788451025E-007
PALISADES NUCLEAR PLANT,
- EA-FC-949-01, . REV. 3 I SHEET B .46 NTAINMENT SUMP pH CONTROL USING PURE TRISODIUM PHOSPHATE, DODECAHYDRATE ption 1 =1 (pK, values are calculated)
Option 2 =O (quantity of TSP is calculated) Option 3 =o (input quantity is in PPM) Temperature, deg F = .220.000000000000000. A (constant of activity) . 6.086000204086304E-001 B (co"nstant of activity) = 3.488000035285950E-001 Solution ionic strength = 5.229028574355656E-002 Total initial mass of water, lb = 3392396.000000000000000 Total final mass of water, lb = 3403310.035805417000000 Density of water, lb/cuft 59.610000610351560 pK (water) = 12.194981726027960 pK . (OH) = 4.686184~56527364 Log (gamma OH) . - -1.087970695005970E-001 Equilibrium pH = 7.400000000000000 Log (gamma H) = -8.101379728450925E-002 Total mass of Boron,
- lb = 9675.113391999999000 PPM pf Boron = 2852.000000000000000 MW of Boron = 10.810000000000000 ...
Log.Ql,1 (Boric acid) = 3.259051038932827 Log Q2,1 (Boric acid) = 3.370046182103526 .. '~ \ Log Q3,1 (Boric *acid) = 4.617952654293429 og Q4,2 (Boric acid) = 7.89743482731632~ 11 = 3.739955049127126E-002 I 21 - 4.829048037066205E-002
- I RB31 = 8.546100540548665E-001 RB42 = 3.350159732300535E-OQ2 H3B03 = 2.134967687203126E-001 B(OH)4 = 7.984683181478594E-003 B2(0H)7 = 2~201122120279188E-003 B3(0H)10 = 8.316525372368709E-003 B4(0H)l4 = 6.960344568270295E-005 CBEB = -1.866208713007993E-002 Total mass of dodecahydrate TSP, lb = 19208.76889~475620000 PPM of dodecahydrate TSP. -* 5662;283795428251000 MW of dodecahydrate, TSE' = 380.160000000000000 Log (gamma H2 PO~,k;;~:~ '~ , * -l.055076763890536E-001 pKl (Phosphoric-* ac_id} = 2.529814441505644 pK2 (Phosphoric ~;~~Jd): = 7.382039228957843 pK3 ( Phosphoric~~acid). = 12.359999656677250 RPl . . 94556.902011155120000
=
- RP2 = 2.160149456680461 RP3 = 3.694355848049421E-005 H3P04 = 4.744109333333420E-008 H2P04 = 4.485882813622146E-003 HP04 -* 9.690177322578096E-003 P04 = 3.579896326030227E-007 NA = 1.417646556692618E-002 EP = 1.866208527310239E-002
----------~---------------------------------------
harge balance error = 7~974795741822388E-007
PALISADES NUCLEAR PLANT, EA-FC-949-01, REV. 3, SHEET B 47 NTAINMENT SUMP pH CONTROL USING PURE TRISODIUM PHOSPHATE, DODECAHYDRATE ption 1 = 1 (pK valu~s are calculated) Option 2 = O (quantity of TSP is calculated) Option 3 = O. (input. -quantity is in PPM) Temperature, deg F = 220.000000000000000 A (constant of activity) = 6.086000204086304E-001 B (constant of activity) = 3.488000035285950E-001 Solution ionic strength = 8.571959540801667E-002 Total initial mass of water, lb = 3392396.000000000000000 Total final mass of water, lb = 3409773.562782564000000 Density of water, lb/cuft = 59.610000610351560 -- pK *(water) = 12.194981726027960 p:K (OH) = 4.463714512563630 Log (ganuna OH) = -1.312672134643315E-001
'- Equilibrium pH = 7.600000000000000 Log (ganuna H) = -9.284877855481566E-002
_Total mass of Boron, lb = 9675.113391999999000 PPM of Boron = 2852.000000000000000
- MW of Boron -= 10.810000000000000 Log Ql,1 (Boric acid) = 3.264551729924131 Log Q2,1 (Boric acid) = 3.370046182103526 .~;,.. ._ '
Log Q3,1 (Boric acid) = 4.617952654293429 og Q4,2 (Boric acid) - - 7.897434827316323_ 11 = 6.321748546285674E-002 21 = ~.059937414926800E-002 RB31 = 1.426389527910799 RB42 = 9.332667691895080E-002 H3B03 = 1.980050792280638E-001 B(OH)4 = 1.251738321767192E-002 B2(0H)7 = 3.159979981738079E-003 B3(0H)l0 = 1.107304677616460E~002 B4(0H)14 = 1.434534924745679E-004 CBEB = -2.707166424050289E-002 Total mass of dodecahydrate TSP, lb - 30584.515709318880000 PPM of dodecahydrate TSP = 9015.608941090273000 MW of dodecahydrate,- TSP = 380.160000000000000 Log ( ganuna H2 P04~h:: _- * -*- _- . * = -1.265084900792734E~oo1 pKl (Phosphoric- __acid) * - = 2.529814441505644 pK2 (Phosphoric a,cid) = 7.382039228957843 pK3 (Phosphoric ~cid) = 12.359999656677250 RPl - - - -- 157287.441677222100000
=
RP2 = 3.958095251444983 RP3 = 7.456633432251357E-005 H3P04- = -2.888763930605969E-008 H2P04 = _ 4.543662882544399E-003 HP04 = 1.798425047956581E-002 P04 = 1.341019633799129E-006 NA = 2.252928326938331E-002 EP = 2.707166290757252E-002 harge balance error = 3.854959433916617E-007
PALISADES NUCLEAR PLANT, EA-FC-949-01, REV. 3, SHEETB 48 CONTAINMENT SUMP pH CONTROL USING PURE TRISODIUM PHOSPHATE, DODECAHYDRATE -~~i;~-~-=-~--,~~-~~i~~~-~~~-~~i~~i~~~d)----------~- . Option 2 = 0- (quantity of TSP is calculatedr .
- Option 3 =O (~nptit quantity is in PPM)
-~-------------~----~------------------------------~
Temperatµre, deg F = 220.000000000000000 A (constant of activity) = 6.086000204086304E-001 B (constant of activity) = 3.488000035285950E~001 Solution ionic strength = 1.3147678353526~6E-001 Total initial mass of water,. lb = 3392396.000000000000000 Total final mass of water, lb = 3418557.590344745000000' Density of water, lb/cuft = 59.610000610351560
*. pK *(water) 12.194981726027960 pK (OH) . = 4.2420~6440511547 Log (gamma OH) = -1.529652855164148E-001 Equilibrium pH = 7.800000000000000 Log (gamma H) . - -1.032036113010429E-001 Total mass of Boron, lb = 9675~113391999999000 PPM of Borori = 2852.000000000000000 MW of Boron = 10.810000000000000 Log Ql,1 (Boric acid) = 3.271662236449998 '
Log Q2,1 (Boric acid)* = 3.370046182103526 Log Q3,1 (Boric acid) = 4.617952654293429 .. Log Q4,2 (Boric acid) = *7.897434827316323 11 = 1.070645746452756E-001 .. ! 21 = 1.342856920250292E-001 RB42 31 -** 2.376491218133b61
= 2.590609455281090E-001 . I H3B03 = 1.79662077854J576E-001 I B(OH)4 = 1~923544394536318E-002 B2(0H)7 = 4.334535636574825E-003 B3(0H)10 = 1.378178492692145E-002 B4(0H)14 . = 2.699153720062491E-004 CBEB = -3.794885258730383E~oo2 Total mass of dodecahydrate TSP, lb = 46044.406758698620000 PPM of dodecahydrate TSP = 13572.827806275750000 MW of dodecahydrate.. TSP. = *380 .160000000000000 Log (gamrna H2P04)i"~'< * - -1.465418258364584E-001 pKl (Phosphoric -*:acid-) = 2. 529814441505644 pK2 (Phosphoric acid}* = 7. 382039228957843 pK3 (Phosphoric*,:a.cid) 12. 359999656677250 RPl . .. = 261052.216097853300000 RP2 - 7.204208087359164 RP3 = 1.488365081531489E-004 H3P04 - . 1.579371429482131E-008 H2P04. = 4.122984117079446E-003 HP04 = 2.970283552031712E-002 P04 = 4.420866321091322E-006 NA . = 3.383025629743196E-002
. 1//1/fil.EP .. . = 3. 794885113561890E.:.002
~~~~~-b~i~~~~-~~~~~------~-~-------:--;~n9266d29~9~is12E~oo1
----------------~~----------------------------------
PALISADES NUCLEAR PLANT, EA- FC- 949-01 I REV. , 3 I SHEET B 49 CONTAINMENT SUMP pH CONTROL USING PURE TRISODIUM PHOSPHATE, DODECAHYDRATE
- ~i;~-~-:- ~- -(~~-~~i~~~-;~~- ~;i~~i~~~d.)-- -~ -------- ,
Option 2 = O . (quantity of TSP is calculated) **
- Option 3 = O (i~put quantity is in PPM) 220.0-00000000000000 Temperature, deg F =
A (constant of activity) = 6.086000204086304E-001. B (constant of activity) = 3.488000035285950E-001 Solution ionic strength. 1.892359569420841E-001 Total initial mass of water, lb. = 3392396.000000000000000 Total final mass of water, lb =-3429673.680935433000000 Density of water, lb/cuft = 59.610000610351560 pK (water) - 12.194981726027960 pK (OH) = 4.022063558808830 Log (garrnna OH) = -1.729181672191308E-001 Equilibrium pH - 8.000000000000000 Log (gamma H) = -1.119164775975744E-001 Total mass of Boron, lb = 9675.113391999999000 PPM of Boron = 2852.000000000000000 MW of Boron = 10.810000000000000 Log Ql,1 (Boric acid) = 3.280077020343219 - Log Q2,1 (Boric acid) = 3.370046182103526 ' i..::: Log Q3,1 (Boric acid) = 4.617952654293429 . .g Q4,2 (Boric acid) - 7.897434827316323 11 - , , = 1.811396238382132E-001 21 = 2.228345988371S23E-001 RB31 _ = 3.943565835249694 RB42 = 7.133582a52633150E-001 H3B03 = 1.593233964216468E-001 B(OH)4 = 2.885978009644364E-002 B2(0H)7 -* 5.656421122392849E-003 B3(0H)10 = 1.5948790a7820582E-002 B4(0H)14 = 4.596485916883418E-004 CBEB = -5.147932290927302E-002 Total mass of doqecahydrate TSP, lb* = 65608.727784798790000 PPM of dodecahydrate TSP -. = , 19339.937844755970000, MW of dodecahydrate, ;T~P- * . :-- = 380.160000000000000 Log (gamma H2 P04°)[~,<< * = -1.647543721453041E-00~ pKl (Phosphoric ~~"t:~d-). _ . = 2.529814441505644 pK2 (Phosphoric* _:a~id) - = 7.382039228957843 - l pK3 *(Phosphoric acid). - .. - 12.359999656677250 RPl . = 431459.395474563400000 RP2 = 12.948631972535530 RP3 = 2.909190790332800E-004 H3P04 = 7.981623411287850E-009 H2P04 = 3.443746411939878E-003 HP04. = 4.459180489494923E-002 P04 = 1;297260681247034E-005 NA = 4.804853189532499E-002 EP = 5.147932166369923E-002 arge balance error = 2.0~6942543983908E-007
PALISADES NUCLEAR PLANT, EA~FC-949-01, REV. 3, SHEET B 50 AINMENT SUMP pH CONTROL USING PURE TRISODIUM PHOSPHATE, DODECAHYDRATE Option 1 =1 (pK values are calculated) Option.2 =o (quantity of TSP is calculated) Option 3 =o (input quantity is in PPM) Temperature, deg F 283.000000000000000 A (constant of activity) = 6.086000204086304E-001 B (constant of. activity) . = 3.488000035285950E-001. Solu_tion ionic strength * = 1.105779911938940E-002 Total initial mass of water, lb = 3392396.000000000000000 Total final mass of water, lb = 3395062.483252949000000 Density of water, lb/cuft = 57.835498046815000 pK (water) = 11.787644504473990 pK (OH) = 4.730927532656353 Log (gamma OH) - -5.671697181763697E-002 Equilibrium pH = 7.000000000000000 Log (gamma H) = -4.811495433557619E-002 Total mass of Boron, lb = 9675.113391999999000 PPM of Boron = 2852.000000000000000 .. ., MW of Boron = 10. 810000000000000:
.... ~\.
Log Ql,l (Boric acid) = 2.811779194060554 Log Q2,1 (Boric acid) 2.975504790948024 ttt
=
Log Q3,1 (Boric acid) = 3.925343274497784 (Boric acid) = 6.638286887896628 11 Q4.,4. = 1.204624415882057E-002 21 . - 1.756213285850772E-002 RB31 = 1~564644730579828E-001 RB42 = 1.501176726075185E-003 H3B03 = 2.335059562517596E-001 B(OH)4 -* 2.812869761547571E~003 B2(0H)7 = 9.575758491621974E-004 B3(0H)l0 = 1.992093098208028E-003 B4 (OH) 14. = 4.462966989291787E-006 CBEB . .
= -5.789934071788616E-003 -----------------------------~-------------------~--
Total mass of dodecahydrate:TSP, lb= 4693.008130340638000 PPM of dodecahydrate1; TSP- - 1383. 390420912133000 MW of dodecahydra~e:.TSP _ . = 380 .160000000000000 Log (gamma H2P04J?;?::c _~-:'. *.*. . . = -5. 580990590194676E-002 pKl (Phosphori~*~¢idf = 2.741872444107198 pK2 (Phosphoric ~cid) *_ = 7. 574918853055846 pK3 (Phosphoric acid) = 12;359999656677250 RPl = 20603.332048755730000 RP2 = 3.913009160937774E-001 RP3 = 8.299460700948190E-006 H3P04 = l.175101819250283E-007
. H2P04 = 2.421101297311052E-003
= 9.473791555936475E-004 HP04 P04 = 7.862736070746959E-009
= J. 368605825822695E-003 ti
. EP
- _.
Charge balance error
* . '. = 5. 789934280761525E-003
--------------------------------------~--------:--
= 4~821355570485964E-007
- PALISADES. NUCLEAR PLANT, EA- FC- 9 4 9 - 01 , .REV . 3 , SHEET B 51 NTAINMENT SUMP pH CONTROL USING PURE TRISODIUM PHOSPHATE, DODECAHYDRATE
------------~-----*------~-------------------------
ption 1 =1 (pKvalues are calculated) Option 2 =O *(quantity. of TSP is calculated) Option 3 =d (i~p~t quantity ~s in PPM) Temperature, deg F = 283.000000000000000. A- (constant of activity) = 6.086000204086304E-001 B (constant of activity) = 3.488000035285950E-001 Solution ionic _strength = 1.947408928066161E-002 Total initial mass of water, ib = 3392396.000000000000000 Total final mass of water, lb* . - 3396919.111460562000000 Density of water, lb/cuft = 57.835498046875000 pK (water) = ll.787644504473990 pK (OH) = 4.515077319848138 Log. (gamma OH). = -7.256718462585209E-002 Equilibrium pH = 7.200000000000000 Log (g_amma H) = -5.905807391713973E-002
----~-----------------------------------------------
. Total mass of Boron, lb .- 9675.113391999999000 PPM of Boron = 2852.000000000000000 MW of Boron = 10.810000000000000 .
-;._\
Log Ql,1 (Boric acid) = 2.813226760068739 .--)'.\ Log Q2,1 (Boric acid) = 2.975504790948024 ,,.. '
~.:.,,:..
Log Q3,1 (Boric acid) = 3.925343274497784 og Q4,2 (Boric acid) = 6.638286887896628. 11 = 1.986778447877561E-002
- 21. = 2.886871619924051E-002 RB31 = 2.571970332058192E-001 RB42 = 4.056320367~43673E-003 H3B03 . = 2.274638478398828E-001 B(OH)4 = 4.519202705595801E-003 B2(0H)7 = 1.493661662282801E-003
.B3(0H)10 = 3.026935028714370E-003 B4(0H)l4 = 1.085879849978688E-005 CBEB *- -9.091988479717946E~oo3 Total mass of dodecahydrate TSP~ lb = 7960.710941249839000
.PPM of dodecahyd:i:::ate TSP = 2346.633748315302000 MW of* dodecahyd:i:::a~e:,TSP.-': -. = 380.1600000000000b0 Log (gamma H2P0.ffr)}fj~~' - = -7.108890490009073E-002 pKl (Phosphoric*:acfd,J- 0 : *- *
= 2.741872444107198 pK2 (Phosphoric acid'): - . * = 7.574918853055846 pK3 (Phosphoric _'acid), *
. RPl - - .
= 12.359999656677250 33823.337627542250000 RP2 = 6.892041147431865E-001 RP3 = 1 .. 568356787592874E-005 H3P04 = 9.995495729224623E-008 H2P04- = 3.380810268042211E-003 HP04 = 2.330068347900707E-003
- P04 = 3.654378508985387E-008 NA = 5.711015114685299E-003 EP = 9.091988748857005E-003 harge balance error = 3.253067338462540E-007
PALISADES NUCLEAR PLANT, . EA-FC-949-01, REV. 3, SHEET B 52 AINMENT SUMP pH CONTROL USING. PURE TRISODIUM PHOSPHATE, DODECAHYDRATE ption 1 =1 (pK* values are calculated) Option 2 =o (qliantity of TSP is calculated) Option 3 = O* (iriput*quantity is in PPM) Temperature, deg F 283.000000000000000 A (constant of activity) = 6.086000204086304E-001* B (constant of activity) = 3.488000035285950E-~01. Solution ionic strength = 3.467003012933072E-002 Total initial mass of water, lb = 3392396.000000600000000 Total final mass of water, lb = 3400122.709856894000000 Densfty of water, lb/cuft = 57.835498046875000 pK (water) = 11.787644504473990 pK (OH) = 4.295312082749758 Log (gamma OH) = -9.233242172423096E-002 Equilibrium pH .. * = 7.400000000000000 Log (gamma H) = -7.151753798846618E-002 Total mass of Boron, lb = 9675.113391999999000 PPM of Boron = 2852.000000000000000 ~ ;; MW of Boron = 10.810000000000000 .*,'*
-g Log Ql,1 (Boric acid) = 2.815755521231587 . *'
Log Q2,1 (Boric acid) = 2.975504790948024
- Log Q3, 1 (Boric acid) = 3.925343274497784 Q4,2 (Boric acid) = 6.638286887896628 11 21 .
= 3.314693971857989E-002
= 4.788425205559893E-002 RB31*. = 4.266101575484572E-001 RB42 = 1.115996216904778E-002 H3B03 = 2.185772796075768E~oo1 B(OH)4 = 7.24~167911003528E-003 B2 (OH) 7* = 2.287719326775647E~003 B3(0H)10 = 4.454984949329565E-003 B4 (OH) 14. = 2.54731S793621286E-005 CBEB _
= -1.408943421745206E-002 Total mass of dodecahydrate TSP, lb = 13599.011769446700000 PPM of .dodecahydrate TSP .., = 4008.674626855679000 MW of dodecahydr~te~ TSP .... = 380.160000000000000 Log (gamma H2PQ4;)1~~0-;~_ * * = -8.995239688805939E-002 pKl (Phosphoric acid)* . - 2.141012i4410119a pK2 (Phosphoric* acid)-':.* = 7.574918853055846
_pK3 (Phosphoric acidf = 12.359999656677250 RPl . = 55986.066128183370000 RP2 = 1.244337924516502 RP3 = 3.088604698414330E-005 H3P04 = 7.756759475388864E-008 H2P04 = 4.342704489295339E-003 HP04 = 5.403791890998257E-003 P04 = 1.669017702379047E-007
.- 9.746740849658589E-003 P. = 1.408943357237320E-002 Charge balance error = 3.836370920039902E-007
------------------------------~---------------------
PALISADES NUCLEAR PLANT, EA-FC-949-01, REV. 3, SHEET B 53 NTAINMENT SUMP pH CONTROL USING PURE TRISODIUM PHOSPHATE, DODECAHYDRATE tion 1 =1 (pK values are calculated) Option.2 =O (quantity of TSP is calculated) Option 3 = O (input quantity is in PPM) Temperature, deg F = 283.000000000000000 A (constant of activity) = 6.086000204086304E-D01 B (constant of activity) = 3.488000035285950E-001 Solution ionic strength = 6.063963567752560E-002 Total initial mass of water, lb = 3392396.000000000000000 Total final mass of water, lb = 3405410.295474502000000 Density of water, lb/cuft = 57.835498046875000 ~ pK (water) = 11.787644504473990 pK (OH) = 4.072416329603859 Log (gamma OH) = -l.152281748701311E-001 Equilibrium pH = 7.600000000000000 Log (gamma H) = -8.452667067115811E-002 Total mass of Boron, lb = 9675.113391999999000 PPM of Boron = 2852.000000000000000 MW of Boron = 10.810000000000000 Log Ql,l (Boric acid) = 2.819886612867987 Log Q2,l (Boric acid) = 2.975504790948024 tlg Log Q3,l (Boric acid) 11 21 Q4,2 (Boric acid)
=
=
=
3.925343274497784 6.638286887896628 5.590752713612770E-002 7.999971896578706E-002
=
RB31 = 7.127331272126692E-001 RB42 = 3.114972584427941E-002 H3B03 = 2.061882076000701E-001 B(OH)4 = l .152747281155045E,-002 B2(0H)7 = 3.401074208496732E-003 B3(0H)l0 = 6.247674785464052E-003 B4(0H)l4 = 5.630014610996426E-005 CBEB = -2.137343314399850E-002 Total mass of dodecahydrate TSi;>, lb = 22905.164371339600000 PPM of dodecahydrate TSP = 6751.913506365295000 MW of dodecahydrate. TSP* = 380.160000000000000 Log (gamma H2P04);J: - = -l .115449920000781E-001 pKl (Phospho~ic -~pid) = 2.741872444107198 pK2 (Phosphoric acid} = 7.574918853055846 pK3 (Phosphoric acid) = 12.359999656677250 RPl = 93255.090501068580000 RP2 = 2.289370713951568 RP3 = 6.276612296752631E-005 H3P04 = 5.343242337771031E-008 H2P04 = 4.982845477779788E-003 HP04 = 1.140758050897505E-002 P04 = 7.160096009882845E-007 NA = 1.639119542877920E-002 -~~~-;;;1~~;-;;;;;----------------:--~~~;;~~;;;;;;:::::~::~
PALISADES NUCLEAR PLANT, EA-FC--949-01., REV. - 3, SHEET B 54 AINMENT SUMP pH CONTROL USING PURE TRISODIUM PHOSPHATE, DODECAHYDRATE pti~~ - ~ -:- ~--,~~~- ~;1~~~ ~~~ ~~i~~i~~~d,- -----~ ----- Option - 2 = O . (qµantity of TSP is calculated) *
- Option 3 = O - (input quantity is in PPM)
Temperature, deg F = 283.000000000000000 A (constant of activity) = 6.086000204086304E-001 B (constant of activity) = 3;488000035285950E-001 Solution ionic strength = 1.007600669349348E-001 Total* initial mass of* water, lb = 3392396.000000000000000 Total final mass of water, lb = 3413423.940817928000000 Density of water, *1b/cuft = 57.835498046875000 pK (water) = 11.787644504473990 pK (OH) = 3.848412705375003 Log (gamma OH) = -1.392317990989877E-001 Equilibrium pH = 7.800000000000000 Log-(gamma H) _ ..
= -9.676402031145923E-002
----------------~-----------------------------------
Total mass of Boron, lb = 9675.113391999999000 PPM of Boron = 2852.000000000000000 \.;::. MW of.Boron = 10.810000000000000 Log Ql,1 (Boric acid) - 2.825908019550708 Log Q2,1 (Boric_ acid) = 2.975504790948024 ' .. Log Q3,1 (Boric acid) = 3.925343274497784 g Q4_, 2 (Boric acid) . * = 6.638286887896628 11 = 9.495007544998335E-002 21 = 1.339960775712387E-001 RB31 .= 1.193797236243089 RB42 - 8.738~9472392Z637E-002 H3B03 = 1.901121305743987E-001 B(OH)4 = 1.805116114199624E-002 B2(0H)7 = 4.842969606805195E-003 B3(0H)10 = 8-.202760965425458E-003 B4(0H)14 = l.141565389259150E-004 CBEB - -3.146695595228503E-002
* * .'I'otal mass of *dodecahydrate: TSP; . lb = 37009:187331349730000 PPM of dodecap.ydJ:ate~,-TSP:.~*-*- * = 10909.451769946000000" MW of dodecahydrat~~:-;'J:'_SP."': *** :*'* * = 380.160000000000000 Log (gamma H2 P04:iiW?c*~~: _f* * . -
= ~1.338898397464152E-001 pKl (Phosphoric 'acidr ~,. = 2.741872444107198 pK2 (Phosphoric *a~,idl~- _- _ = 7.574918853055846 pK3 (Phosphoric* acidF~' - = 12~359999656677250 RPl . - : - -
= 155602.795696259400000 RP2 = 4.233998172035718 RP3 = 1.28661776b3i7734E-004 H3P04 = 3.243913644458903E-008 H2P04 = 5.047620320750470E-003 HP04 = 2.137161521118783E-002 P04 = 2.749709969739091E-006 NA p
= 2.642201768104448E-002
= 3.146695317009810E-002 arge balance error - 6.440854626564703E-007
PALISADES NUCLEAR PLANT, EA-FC-949-01, REV. 3, SHEET B SS NTAINMENT SUMP pH CONTROL.USING PURE TRISODIUM PHOSPHATE, DODECAHYDRATE
-------------------------~-----*-------------------
tion i = 1 (pK. values are calculated) Option. 2 = o . (quantity *of TSP is calculated) . Optiori 3
= o . ( iriEtit quantity is in PPM) - ---------------~-~---------------------------------
Temperature, deg F = 283.000000000000000 A (constant of activity) = 6.086000204086304E-001 B (constant of. activity) = 3.488000035285950E-001 Solution ionic strength = 1.S62606061376391E~001 Total initial mass of water, lb. = 3392396.000000000000000 Total. final mass of water, lb = 34244SS.262747591000000 Density of water, lb/cuft = S7.835498046875000 pK (water) = 11.787644504473990 pK (OH) = 3.625374371781369 Log *(gamma OH) = -1.622701326926211E-Obl Equilibrium pH = 8.000000000000000 Log (gamma H) = -1.073570045381415E-001
---------~-----------~----------------------~-------.
Total mass of Boron, lb = 9675.113391999999000 PPM of Boron = 2852.000000000000000 MW of Boron = 10. 810000.000000000 . Log Ql,l {-Boric acid) = 2.833672512708154 Log Q2,1 (Boric acid) = 2.975504790948024 '...
- Log Q3,1 (Boric acid) = 3.925343274497784 g Q4,2. (Boric acid)* = 6.638286887896628 *.
11 21 .
= 1.6154671B6158282E-001
- 2.239393530232568E-001
- RB31- = 1.995119451038405 RB42. = 2.440833438431103E-001 H3B03 = ~1.708107141213467E-001 B(OH)4 B2 (OH).7
= 2.759391037072987E~002
= 6.533721758745245E-003 B3(0H)10 = 9.9429~6472768589E~003 B4(0H)14* = 2.077775293542833E-004_
CBEB*
.. . = .-4.472303389742540E-002* ..... ,* ---------------~------------------------------------
- Total _mass of dodecahydrate TSP,. lb .- .. 56424. 319511009050000 _.
PPM .of dodecahydrat:e~ TSB~-:~.:> * *:~ * ** =. * '16632. 5863835.11840000 MW of dode_cahyd~a't*e4::TSP~j,:Z:2'<:~.: -*-~ - 380 .160000000000000. Log (gamma *H2P04)gf~i:~::_*;* :- : _ *-. ,;, .-1.550598471311976E-001 pKl (Phosphoric***ac:i;dr __ : * -..-,* - *
- 2. 741872444107198
- pK2 (Phosphoric. *ac;td)': : = 7. 574918853055846* *
- pK3 (Phosphoric* a-Cid% -: - 12. 359999656677250 RPl . .. * ,.. * * = 258932. 999955605100000.
RP2 .. - 7.767132043288251 RP3 = 2.601953787830946E-004 H3P04 =*, *1. 768382673131766E-008. H2P04 = 4.S78926306235204E-003 HP04 . = 3 .556512523701497E'-002 P04 = 9.253881232513306E-006 NA 4.015332310830941E-002 p = 4.472303090096557E~002 arge balance ~rror = 5.029941863627571E-007
PALISADES.NUCLEAR PLANT, EA-FC-949-01~ REV. 3, SHEET B 56 NTAINMENT SUMP pH CONTROL USING PURE TRISODIUM PHOSPHATE, DODECAHYDRATE tion 1 = 1 (pK: values arer calculated) . Option 2 = o (qtlantity of TSP is calculated)_ Option 3 = O * (i_~put quantity is in PPM)
- - - - - -- - - - - - - - - ~ .;.- .... ~--- - - - - - - - - - - -- - - -- - - - - - - ----- - - - - -
Temperature; deg F * - * = . 77.00000000QOOOOOO A (constant of activity) = 5.115000009536743E-001 B (constant of activity) = 3.291000127792358E-001 Solution ionic strength = 5.343704568977186E-003 Total initial mass of water, lb = 2437820.000000000000000 Total final mass of water, lb = 2438636~666818338000000, Density of water, lb/cuft = 62.253001403808600 pK (water). = 13.994713944862280 pK (OH) = 6.960226814242609 Log (gamma OH) = -3.448713061966775E-002 Equ;i.librium pH = 7.000000000000000 Log (gamma H) = -3.073609874599075E-002 Total mass of Boron,, lb
= 3500.709520000000000 PPM of Boron = 1436.000000000000000 :*-:.c.
MW of Boron = 10.810000000000000 '\:j.r,_ Log Ql, 1. (Boric ac.id) = 4.758324222528118 - -*;J:
..::.;.\.
Log Q2,1 (Boric acid) = 4.716332774573161 :-:: \ Log Q3,1 (Boric acid) -* 6.820967306541037 g Q4,2 (Boric acid) = 12.624570282378580 11 . '= 6.281992423654631E-003 21 = 5.703033994581779E~003 RB31 = 7~256722107262968E~001 RB42 = 5.059605475463959E-002 H3B03 = 1.269J62037015981E-001 **... B(OH)4 = *7.974122699409204E-004 B2(0H)7 = 9.189184506531095E-005 B3(0H)10 *..
*= 1.4842156592i9113E-003 B4(0H)14 = 1~313586500302572E-OOS CBEB = ~2.399793761101845E~003 Total rriass -of dodecahydrate TSP, lb_= -* _. -1437 .3334164.40608000.
- PPM of* dodecahydrate~ TSR::;:~< . .. *- *. *
- 589-~ 597844156093600:
~fl!s;g&:~iiT~'~;t; < ~ .4i~mmmmmu *
-J pK3 (Phosphorj,;c,:-acid)f_:;-:*'~".~ = 12. 359999656_677250 RPl . '* -.- ...** *"- .*. ': **. * -* = 74390 .115204501530000 RP2 . . .. *.' .- . = 8 .109193442123199E._001 RP3 - .6.464633286242923E-006 H3P04 - 1.147635775989787E-008-H2P04 = 8.537275758868778E-004 HP04 = 6.923042059741605E-004 P04 * = 4.475492814146535E-009 NA = 1. 5_46047733711612E-003 P- = 2.399793786821196E-003
---------------~----~----------------------------
arge balance errqr = 2.089075565893643E~007
PALISADES NUCLEAR PLANT, EA-FC-949-01, REV-. 3, SHEET B 57 NTAINMENT SUMP pH CONTROL USING PURE TRISODIUM PHOSPHATE, DODECAHYDRATE tion
- 1 =1 (pK. values* are calculated)
Option 2 = o* (quantity of TSP is calculated) Option 3 =O (i~pµt quantity is in PPM) Temperature, deg F = 77~000000000000000 A (constant of activity) = 5.115000009536743E-001 B (constant of activity) = 3.29100b127792358E-001 Solution ionic strength = 9.388605898746535E-003 Total initial mass of water, lb = 2437820.000000000000000 Total final mass of water, lb = 2439201.309527546000000 Density of water, lb/cuft = 62.253b01403808600
. pK (water) = 13.994713944862280 pK (OH) = 6.750128365733200 Log (gamma OH) = -4.458557912907630E-002 Equilibrium pH = 7.200000000000000 Log (gamma H) = -3~850969550854~29E-002
--~--------------~~-~----~--------------------------
Total mass of Boron, lb = 3500.709520000000000 PPM of Boron = 1436.000000000000000 MW of Boron = 10~810000000000000 Log .Q1,1 (Boric acid) = 4;759193499581900 Log Q2,1 (Boric acid) - - 4.716332774573161 Log Q3 ,_1 (Boric acid) = 6.820967306541037 g Q4,2 (Boric acid) - 12.624570282376580 11 --. 1. 021092611_844054E-002 21 *= 9.251335029096489E-003 RB31 = 1~177169336376434 RB42 = :1.331415323174885E-001 - *: H3B03 = . 1.239848671238162E-001 B(OH)4 = 1.266000318005955E-003 B2 (OH) 7 _ = 1.422138096977124E-004 B3(0H)10 = 2.243597686831654E-003 *.. B4 (OH) 14 . = 3.146214111252103E-005 CBEB ... = -3.714844926049489E-003
---------------------------~---~--------------------
. . . ~ '
. _Total mass of .dodec_ahydrate:_-TSP, lb<~* 2431.104499575563000 -
- 0
~~ 1;~Em~ljt~~i~~;_;
pK2 (Phosphoric*~~¢id:')~;>_; .' *:_..
** **- ~* - 4
- 3u~~mummm~
*= 7 .193348469950139:
pK3 (Phosphoric.. :-~Cfdi:'::~~:: _*_ ,,:_ _ = -12. 359999656677250 - RP1 .. -: *' -- * = 120603. 980627311700000 RP2 = 1.37567832118968g RP3. = 1.147561445787433E-005 H3P04 - - 9.124619839090079E-009 H2P04 - = 1.100465474305204E-003
- -p -. .* *. .*
HP04 P04 NA .. * . ..* 1.513886496219398E-003
= 1.737277776359603E-008
=. 2. 614378467922205E-003
= 3. 714844818689323E-003
*~~~~ -b~l-~~~~ -~-~~~~ --~ --- -----~ ---~ -=-*- ~ ~ ~;~~~;~~~~;983 7E-007 .
PALISADES NUCLEAR PLANT*, EA-FC-949-01, REV. 3, SHEET B 58 NTAINMENT SUMP pH CONTROL USING PURE TRISODIUM PHOSPHATE, DODECAHYDRATE
----------------~----------------------------------.
Option 1 =1 (pK valu.es are calculated) Option 2 =o (qliantity of TSP is calculated) Option 3 =O (inp~t quantity is in PPM) Temperature, deg. F . = 77.000000000000000 A (constant of activity) = 5.115000009536743E-001 B (constant of activity) = 3.291000127792358E-001 Solution ionic strength = 1.621896933539715E-00~ Total initial mass of water, lb = 2437820.000000000000000 , Total final mass of water, lb = 2440124.676536557000000 __,.r*. Density of water, lb/cuft = 62.253001403808600 pK (water) * = 13.994713944862280 pK (OH) = 6.537905835365270 Log (gamma OH) = -5.6808i0949700658E-002 Equilibrium pH = 7.400000000000000 Log (gamma H) = -4.729959434923388E-002 Total mass of Boron, lb = 3500.709520000000000 .. PPM of Boron = : 1436.000000000000000 ;;_,,_ MW of Boron * - . . 10.8100000000000-00
*Log Ql ,.1 (Boric acid) * =
. =.
4.760635919068592 Log Q2,1. (Boric acid) 4.716332774573161 Log Q3,1 (Boric acid).* -. ~~820967306541037 cg Q4,2 (Boric ~cid) = 12.624570282378580 11 = 1~670652345413783E-002 21 = 1.508088885380366E-002 RB31 = 1.918940333277781 RB42 - 3.538006379356939E-001 H3B03 = 1.197365945354951E-001 B(OH)4 = 1.999663805358628E-003 B2(0H)7 = 2.162124725955358E-004 B3(0H)lO* = . 3.294140946730368E~003 B4 (OH) 14 , * = 7.272206792504014E-005 CBEB = -5.655706766244085E-003
-------------------------------~---------------------.
Total mass of dodecahyqrate TSP~_ lb -=~ .* 4056. 231169S46194000-
- Mo~f a~~~~~~~~~~~~~i~~~{~)}~~;{,°F:. : . ii~~: ~~~6g~~g6~~gggg Log (gamma H2PO~~&~:;;~*_:~." -*: . * *** - - -5. 5788S6129494804E-002 pKl (Phosphoric*~~c+/-d};:: ,. . .. _ * - * * = 2 .162593478867187 pK2- (Phosphori-c:~acidl:_;. ._:*~->- * . - 7 .193348469950139 pK3 (Phosphoric*. *acfd'lj?* -... -: -~=- * *- - 12. 359999656677250 RPl . - .. _ . *- . = 196424. 240438472200000 RP2. - 2.366013476237352 RP3 2.084218036036393E-005 H3P04 = 6~594854288828512E-009 H2P04 = 1.295389244485541E-003 HP04 = 3.064908409425714E-003 P04. = 6.387937385724687E-008 A = 4.360368128139401E-003 EP = 5.655706682959662E-003
- Charge balance error = .1.943986217177000E-007
PALISADES NUCLEAR PLANT, EA-FC-949-01, REV. 3 I . SHEET B 59 AINMENT SUMP pH CONTROL USING PURE TRISODIUM PHOSPHATE, DODECAHYDRATE ption 1 =. 1 (pK values are calculated) Option 2 = o (qti.antity of TSP is calculated) Option 3 = O (input quantity is in PPM) Temperature, deg F = 77.000000000000000 A (constant of activity) = 5.115000009536743E-001 B (constant of activity) = 3.291000127792358E-001 Solution ionic strength = 2.692017043561617E-002
*Total initial mass of water, lb = 2437820~000000000000000 Total final mass of water, lb- = 2441540.123124623000000 De~sity of water, lb/cuft = 62.253001403808600 pK (water) = 13.994713944862280 pK (OH) 6.324129830174158 Log (ganuna OH) = -7.058411468811833E-002 Equilibrium pH = 7.600000000000000 Log ( ganuna H) = -5.647738091716035E-002 Total mass of Boron, lb = 3500.709520000000000 PPM of Boron = 1436.000000000000000 MW of Boron = 10.810000000000000
. eg = Log Qi,1 (Boric acid) 4.762846480772534 Log Q2,1 (Boric acid) . = . 4. 716332774573161 Log Q3,1 (Boric acid) = 6.820967306541037 Q4,2 (Boric acid) = 12.624570282378580 11 .. = 2.746101912459992~-002 21 = 2.467191978688526E-002 RB31 = 3.139333658473805 RB42 = 9.469141841164553E-001 H3B03 = 1.139302442698572E-001 B(OH)4 = 3.128640616764890E-003
- B2(0H)7 . - 3.202439998269583E-004 B3(0H)10 = 4.642528322776550E-003 B4(0H)l4 = 1.5953a9524552598E-004 CBEB = -8.410936337179457E-003 Total mass of dodecahydrate TSP, lb = 6547.418139312319000.
PPM of dodecahydrate .. TSP. = 2685.7676691930980-00 MW of dodecahydrate-TSP = 380.160000000000000 Log (ganuna H2P04*):f:--: , . = -6.901694872233446E-002
. pKl (Phosphoric *acid)': . = 2.162593478867187 pK2 (Phosphoric acid} . = 7.193348469950139 pK3 (Phosphoric acid):.* = 12~359999656677250 RPl = 320939.720348301100000 RP2 = 4.108680550450143 RP3 = 3.846671386131395E-005 H3P04. = 4.290152892945540E-009
. H2P04 = 1.376880469713397E-003 HP04 = 5.657162006206091E-003 P04 = 2.176124321598265E-007
= 7.034264378504539E-003 p = 8.410935816091560E-003 Charge balance error = 7.599209714531285E-007
PALISADES NUCLEAR PLANT, EA-FC-949-01, REV. 3, SHEET B 60 CONTAINMENT SUMP pH CONTROL USING PURE TRISODIUM PHOSPHATE, DODECAHYDRATE tion 1 = 1 (pK values a~e calculated) ption 2 = O * (quantity of TSP is calculated) Option 3 = o (input quantity is in PPM) Temperature, deg F = 77.000000000000000 A (constant of activity) = 5.115000009536743E-001 B (constant of activity) = 3.291000127792358E-001 Solution ionic strength = 4.229212471297492E-002 Total initial mass of water, lb = 2437820.000000000000000 Total final mass of water, lb = 2443548.262221829000000 Density of water, lb/cuft = 62.253001403808600 pK (water) = 13.994713944862280 pK (OH) = 6.109669031970293 Log (gamma OH) = -8.504491289198331E-002 Equilibrium pH 7.800000000000000 Log (gamma H) .
= -6.537142917381181E-002 Total mass of Boron,* lb = 3500.709520000000000 PPM of Boron = 1436.000000000000000 MW of Boron = 10.810000000000000 Log Ql,l (Boric acid) = 4.765939544756010 .. -~
Log Q2,l (Boric acid) - . 4.716332774573161 ., Log Q3,l (Boric acid) = 6.820967306541037 . ' tli1Q4,2 (Boric acid) = 12.~24570282378580
= 4.531797680383493E-002 21 = 4.042627654900970~-002 31 = 5.143968193530616 RB42 = 2.542331733855963 H3B03 = 1.064778269487761E-001 B(OH)4 = 4.825359691787383E-003 B2. (OH) 7 = 4.583340274224976E-004 B3(0H)10 = 6.209774253321530E-003 B4(0H)14 = 3.267901332932747E-004 CBEB = -1.214780665455415E-002 Total mass of dodecahydrate TSP, lb = 10081.742525542710000 PPM of dodecahydrate TSP = 4135~556573308411000 MW of dodecahydrate*. TSP - 380.160000000000000 Log (gamma H2P04L_~. _, _- * * * * = -8.278012932162970E-002 pKl (Phosphoric ~6id} = 2.162593478867187 pK2 (Phosphoric a_cid) - 7.193348469950139 pK3 (Phosphoric* acid)* . = 12.359999656677250 RPl . = 525033.059716600300000 RP2 = 7.161300832956488 RP3 = 7.143334544059704E-005 H3P04 = 2.525537356281531E-009 H2P04 = 1.3259906D5591066E-003 HP04 = 9.495817628354745E-003 P04.* = 6.783180208871755E-007 NA = l.082248907751006E-002 EP = 1. 214780641616095E,-002 arge balance error = 2.378264500122522E-007. ---------------~----~-------------------------------
PALISADES NUCLEAR PLANT, EA-FC-949-01, REV. 3, SHEET B 61 NTAINMENT SUMP pH CONTROL USING PURE TRISODIUM PHOSPHATE, DODECAHYDRATE
------------------------------~------------------- .
tion 1 : 1 (pK values are calculated)
- Option 2 = o (qtiantity of TSP is calculated) *
- Option 3 = O (input quantity is in PPM)
Temperature, deg F = 77.000000000000000 A (constant of activity) = 5.115000009536743E-001 B (constant of activity) = 3.291000127792358E-001 Solution ionic strength = 6.271502099143893E-002 Total initial mass of water, lb = 2437820.000000000000000 Total final mass of water, . lb = 2446200.975470~52000000 Density of water, lb/cuft = 62.253001403808600 pK (water) = 13.994713944862280 pK (OH) = 5.895296785326995 Log (gamma OH) * = -9.941715953528139E-002 Equilibrium pH = 8.000000000000000 Log (gamma H) = -7.354382013875198E-002
---~---------------------------------------------~--
Total mass of Boron, lb = 3500.709520000000000 PPM of Boron = 1436.000000000000000 MW of. Boron = 10.810000000000000 Log Ql,l (Boric acid) 4.769928429713531
- ' Log Q2,l (Boric acid) 4~716332774573161 Log Q3,l (Boric ~cid) = 6.820967306541037 og Q4, 2 (Boric acid)* = 12.624570282378580 11 = 7.492584411105058E-002 21 6.6227138273263~0E-002
*RB31 8.426952020011528 RB42 = 6.823021059139848 H3B03 = 9.752623055675355E-002 B(OH)4 = 7.307235147433694E-003 B2(0H)7 6.299105278455468E-004 * ,B3(0H)l0 = 7.816905066918666E-003*
B4(0H)l4 = 6.172519448481808E-004 CBEB = -l.698981541975557E-002 Total mass of dodecahydrate TSP, lb = 14750.518480322860000 PPM of dodecahydrate TSP = 6050.70041~796211000 MW of dodecahydrate TSP = 380.160000~00000000 Log (gamma H2 P04-)} * = -9.633608222429423E-002 pKl (Phosphoric-acid) = 2.162593478867187 pK2 (Phospho~i6;,qid). = 7 .19334846995013 9. pK3 (Phosphorid~cid) = . 12.359999656677250 RPl = 858504.554212143500000 RP2 = 12.464067053341770 RP3 = l.323368382620313E-004 H3P04. = l.36~218689162110E-009 H2P04 = l.174~21975803841E-003 HP04 = 1.464056706874786E-002 P04 = l.937486356241308E-006 NA = l.581712789912663E-002 EP = l.698981512501161E~002 arge balance error - 2.143789793202204E-007
---------------------------------------------~------
PALISADES NUCLEAR PLANT, EA-FC-949-01, REV. 3,. SHEET B 62 NTAINMENT SUMP pH CONTROL USING PURE TRISODIUM PHOSPHATE, DODECAHYDRATE ption 1 = 1 (pK values a*re calculated) Option 2 = O (quantity of TSP is calculated)*. Option 3 *= O (input quantity is in PPM) Temperature, deg F = 100.000000000000000. A .(constant of activity) = 5.238999724388123E-001 B (constant of activity). = 3.138000071048737E-001 Solution ionic strength = S.561892242189007E-003 Total initial mass of water, lb = 2437820.000000000000000
*Total final mass of water,* lb = 2438673.565794069000000 Density of water, lb/cuft = 62.oooooriooooooooo pK (water) * = 13.596441763245900 pK (OH) = 6.560328321714417 Log (gannna OH) = -3.611344153147795E-002 Equilibrium pH = 1*. 0.00000000000000 Log (gannna H) = -3.227383505331598E-002 Total mass of Boron, lb = 3500.709520000000000 PPM of Boron = 1436.000000000000000 ':
MW of Boron = 10.810000000000000 -" Log Ql,1 (Boric acid) = 4.454797505301b53 -9Log Q2,1. (Boric acid) Log Q3~1 (Boric acid) 11Q4,2 21 . . RB31 (Boric acid)
=
=.
4.442785580375762 6.3~7948113890130 11.624870845715700
= 7.~42764666775552E-003
=
- 7.628818080195188E-003
= 6.723877493764547E-001 RB42 = 3.193112370445086E-002 H3B03 = 1.265271619035685E-001 B(OH)4 = 9.923227547646966E-004 B2(0H)7 = 1.221306846970311E-004 B3(0H)l0 = 1.361981134547478E-003 B4(0H)14 =. 8.183691863113025E-006 CBEB. = -2.492969458050910E-003 -----------------------------~----------------------
Total mass of dodecahydrate TSP, lb = 1502.275573601880000 PPM of dodecahydrate TSE. = 616.237283147188800 MW of dodecahydrate TSP * = 380.160000000000000 Log (gannna H2P04:}f;;;:~,.... : = -3.572703854S28913E-002 pKl (Phosphoric .. acid}-. - = 2.207469022593650 pK2 (Phosphoric*acid) = 7.192725~64958558 pK3 (Phosphoric acid) = 12.359999656677250 RPl = 67337.659298523210000 RP2 = 8.212130660644643E-001 RP3 = 6.586209424614515E-006 H3P04 = 1.312248849371952E-008 H2P04 = 8.836376593388763E-004 HP04 = . 7.256547915157052E~oo4 P04 = 4.779314426897418E-009 NA = 1.609310352657502E-003 EP = 2.492969477658939E-003 Charge balance error = 1.449015i30330044E-007
PALISADES NUCLEAR PLANT, EA-FC-949-01, REV. 3, SHEET.B 63 AINMENT SUMP pH CONTROL USING PURE TRISODIUM PHOSPHATE, DODECAHYDRATE Option 1 = 1 (pK values are calculated) . _Option 2 =O . (quantity of TSP is calculated) Option*3 = O (input quantity is in PPM) Temperature, deg F = 100.000000000000000 A (constant of activity) = S.238999724388123E-001 B (constant of activity) = 3.138000071048737E-001 Solution ionic str~ngth = 9.808457583901697E-003 Total initial mass of water, lb = 2437820.000000000000000 Total final mass of water, lb = 2439269.330092923000000 Density of water, lb/cuft = 62.000000000000000 pK (water) = 13.596441763245900 pK (OH) = 6.349646050235364 Log (gamma OH) = -4.679571301053056E-002 Equilibrium pH = 7.200000000000000 Log (gamma H) = -4.054523597113087E-002 Total mass of Boron, lb = 3500.709520000000000 PPM of Boron = 1436.000000000000000 - MW of Boron = 10.810000000000000 ~ *)
--:~
Log Ql,1 (Boric acid) = 4.455691152234873 "-'"*\ Log Q2,1 (Boric acid) = 4.442785580375762 ...*
-=~-
\
Log Q3,1 (Boric acid) = 6.387948113890130 g Q4,2 (Boric acid) = 11.624870845715700 11 1.276571375386294E-002 21 = 1.239194651065748E~002 RB31 . - 1.092199727022618 RB42 = 8.425171407987650E-002 H3B03 = 1.236240020763648E-001* B(OH)4 = 1.578148623613831E-003 B2(0H)7 = 1.8938480~6052146E-004 B3(0H)10 = 2.063528447213370E-003 B4 (OH) 14. = 1.967840709689093E-005 CBEB = -3.870796466405911E-003 Total mass of dodecahydrate TSP; lb = 2550.820654868849000 PPM of dodecahydrate TSP = 1046.353157685493000 MW of dodecahydr(!te. TSP.'* = 380.160000000000000 Log (gamma H2 P04};*,,_ * = -4.614895396973623E-002 pKl (Phosphoric acid} = 2.207469022593650. pK2 (Phosphoric acidr . = 7.192725264958558 pK3 (Phosphoric ~cid). = 12.359999656677250 RPl = 109315.043359131100000 RP2 = 1.398690409234729. RP3 = 1.176915040983144E-005 . H3P04 = 1.041850184476453E-008 H2P04 = i.138898980897622E-003 HP04 = 1.592967081668711E-003
- P04 = 1.874786918206929E-008
= 2.731895228937359E-Ob3 EP = 3.870796298969489E-003 Charge balance error = 6.315385697134847E-007
PALISADES NUCLEAR PLANT I . EA-FC-949-01, REV. 3, SHEET B 64 AINMENT SUMP pH CONTROL USING PURE TRISODIUM PHOSPHATE, DODECAHYDRATE pti~~-~-=~~-~~~;~;;i~;;-;~;-~;i~~i;~;~~----~------- Option
- 2 = o * (qu*antity of TSP is calculated)
Option 3 = O (i~put quantity is in PPM)
-------------~-------~-~--~----~--------~----------~
Temperature, deg F = 100.000000000000000 A (constant of activity) = 5.238999724388123E-001 B (constant of activity) = 3.138000071048737E-001 Solution ionic strength = l.701685412520682E-002
. ----------------~---------~-------------~-----------
Total initial mass of water, lb = 2437820.000000000000000 Total final mass of water, lb = 2440249.466766231000000 Density of water,* lb/cuft = 62.000000000000000 pK (water) = 13.596441763245900 pK (OH) . = 6.136664155209653 Log (gamma OH) = ~5.977760803624227E-002 Equilibrium pH = 7.400000000000000 Log (gamma H) = -4.994255790733199E-002 Total mass of Boron, lb = 3500.709520000000000 PPM of Boron = 1436.000000000000000 " MW of Boron = 10.810000000000000 .. .,' Log Ql,l (Boric acid) = 4.457180399241726 Log Q2,1 (Boric acid) = 4.442785580375762 .,,,." Log Q3,1 (Boric acid) = 6.387948113890130 g Q4,2 (Boric acid) = 11~624870845715700 11 = 2.091781145086461E-002 21* = 2.0235848772848b3E-00~ RB31 = 1.783544537314416 RB42 = 2.246686808282468E-001 H3B03 = 1.194254732328609E-001 B(OH)4 = 2.498119531515263E-003 B2(0H)7 = 2.886126529721478E-004 B3(0H)10 = 3.037909775220902E-003 B4 (OH) 14. = 4.570149623881238E~005 CBEB = -5.916730311560496E-003 Total mass of ,dodecahydrate TSP, lb = 4275.862241038811000 PPM of dodecahydrate TSP. = 1753. 969629028727000 MW of dodecahydratecTSP * = 380.160000000000000 Log (gamma H2P04)t:;*~.--::.. = -5. 872626250535994E-002 pi1 (Phosphoric icid) = 2.207469022593650 pK2 (Phosphoric .a'cidl * = 7 .192725264958558 pK3 (Phosphoric icid) = 12.359999656677250 RPl = 178343.481303699800000 RP2 = 2.417984555568579 RP3 = 2.155915107583149E-005 H3P04 = 7~509286534868641E-009 H2P04 = 1.339232302735470E-003
=
HP04 3.238243024332911E-003 P04 - 6.981377058185068E-008
= 4 .577552650125497E-003 ti EP Charge balance error
. =
=
5.916730157663455E-003
~-------------~---~----------~-------------~------
3.224628269140140E-007
PALISADES NUCLEAR PLANT, EA-FC-949-01, REV. 3, SHEET B 65 AINMENT SUMP pH CONTROL USING PURE TRISODIUM PHOSPHATE, DODECAHYDRATE tion 1 =1 (pK values are calculated). Option 2 = O (quantity of TSP is calculated) Option 3 = O (input qtiantity is in PPM) Temperature, deg F = 100.000000000000000 . A (constant of activity) = 5.238999724388123E-001 B (constant of activity) = 3:138000071048737E-001 Solution ionic strength = 2.837004796284905E-002 Total initial mass of water, lb = 2437820.000000000000000 Total final mass.of water, lb = 2441761.733135969000000 Density of water, lb/cuft = 62.000000000000000 pK (water) = 13.596441763245900 pK (OH) = 5.921974860336749 Log (gamma OH) = -7.446690290914706E-002 Equilibrium pH = 7.600000000000000 Log (gamma H) = -S.979746893661424E-002 Total mass of _Boron, lb = 3500.709520000000000
*PPM of Boron = 1436.000000000000000 MW.of Boron = 10.810000000000000 -.
Log Ql,1 (Boric acid) = 4.459471929797290 ~** . \ Log Q2,1 (Boric acid) = 4.442785580~75762
*Log Q3,1 (Boric acid) = 6.387948113890130 g Q4,2 (Boric acid) = 11.624870845715700 11 = 3.447442802941676E-002 21 = 3.3l7498384408089E-002* *RB31 = 2.923972296630131 RB42 = 6.038389524195553E-001 H3B03 = 1.136579050793533E~001 B(OH)4 = 3.918291268632447E-003 B2(0H)7. = 4.285S84019605383E-004 B3(0H)l.0 = 4.293111760491601E-003 B4(0H)14. = 1.0b7673210651957E-004 CBEB = -8.842664056154439E-003 --------~-------------------------------------------
Total mass of dodecahydrate TSP; lb = 6937.451020832354000 PPM of dodecahydrate TSP_ = 2845.760154905758000 MW of dodecahydrate TSP = 380.160000000000000 Log (gamma H2 P04YC::: ;~- .* = -7.284239406270805E-002 pKl (Phosphoric' acid). = 2.207469022593650 pK2 (Phosphoric a~id) = 7.192725264958558 pK3 (Phosphoric a6id} =. 12.359999656677250 RPl = 291993.626159491900000 RP2 = 4.224758780387728 RP3 = 4.019872824292494E-005 H3P04 = 4.865040943948901E-009 . H2P04 = 1.420560946638037E-003 HP04 = 6.001527332384951E-003 P04 = ~.412537662770289E-007 NA p
= 7.422334397830208E-003
= 8.842663820783855E-003 a~ge balance error .
= 3.047806729995304E-007
------~---------------------------------~-----------
PALISADES NUCLEAR_ PLANT, EA-FC-949-01, REV. 3, SHEET B 66_ AINMENT SUMP pH CONTROL USING PURE TRISODIUM PHOSPHATE, DODECAHYDRATE ption 1 = _1 (pK values.are calculated) Option 2 =O (quantity of TSP is calculated) Option 3 =O (input quantity is in PPM) Temperature, deg F = 100.000000000000000 - A (constant of activity) s;238999724388123E-001 B (constant of activity) = 3~138000071048737E-001 Solution ionic strength = 4.476969160152957E-002 Total initial mass of water, lb = 2437820.000000000000000 Total final mass of water, lb = 2443922.714203907000000 Density of water, lb/cuft = 62.000000000000000 pK (water) = 13.596441763245900 pK (OH) - = 5.706493436396831 Log (gamma OH) = -8.994a32684906474E-002 Equilibrium pH = 7.800000000000000 Log (gamma H) = ~6.938746286068666E-002 Total mass of Boron, lb = 3500.709520000000000 PPM of Boron = 1436.000000000000000 MW of Boron = 10.810000000000000 Log Ql,i (Boric acid) = 4.462690991939795 Log Q2,1 (Boric acid) = 4.442785580375762 Log Q3,1 (Boric acid) = 6.387948113890130 g Q4,2 (Boric acid) = 11.624870845715700 11 = -5.704236924209629E-002 21 = 5.448690555791520E-002 RB3i = 4.802359607143322 RB42 = -1.628860804435301 H3B03 = 1.062169087911~89E-001 B(OH)4 = 6.058864131021631E-003 B2(0H)-7 = 6.147229964562368E-004 B3(0H)l0 = 5.754871778190421E-003 B4(0H)14- = 2.073283088688388E-004 CBEB
= -1.284506258046707E-002 --------------------------~-------------------------
Total mass of dodecahydrate TSP, lb = 10740.778801897140000 PPM of dodecahydrate TSP -- 4405.894939699050000 MW of dodecahydrate TSP = 380.160000000000000 Log (gamma H2P04lf~ ~- - -- = -8.758884592106610E-002 pKl (Phosphoric acid)' = 2.207469022593650 pK2 (Phosphoric acid) = 7.192725264958558 pK3 (Phosphoric acid) - = 12.359999656677250 RPl = 478762.166215023500000 RP2 = 7.413806944333388 RP3 = 7.549958647542391E-0~5 H3P04 - - 2.850039045319523E-009 H2P04 = 1.364490867134572E-003 HP04 _ = 1.011607186624178E-002 P04 = 7.637592426569242E-007 NA = 1.148132934265805E~002 EP = 1~284506215062806E-002 Charge balance error 3.756629428466659E-007
PALISADES NUCLEAR PLANT, EA-FC-949-01, REV. 3, SHEET B 67 AINMENT SUMP pH CONTROL USING PURE TRISODIUM PHOSPHATE, DODECAHYDRATE ption 1 = 1 (pK values. are calculated)
*option 2 = o (quantity of TSP is calculated)
Option 3 = O (input quantity* is in PPM) Temperature, deg F = 100.000000000000000 A (constant of activity) = 5.238999724388123E-001 B (constant of activity) = 3.138000071048737E-001 Solution ionic strength = 6.670528241935660E-002 Total initial mass of water, lb = 2437820.000000000000000 Total final mass of water, lb = 2446802.048204278000000 Density of water, lb/cuft = 62.000000000000000 pK (water) = 13.596441763245900 pK (OH) = 5.491032733455441 Log (gamma OH) . - -1.054090297904540E-001 Equilibrium pH = 8.000000000000000 Log (gamma H) = -7.824000971522566E-002 Total mass of Boron, lb = 3500.709520000000000 PPM of Boron = 1436.000000000000000 -- *-- MW of Boron = 10.810000000000000 *.:< Log Ql,1 (Boric acid) = 4.466862033302675 ' Log Q2,1 (Boric acid) = 4.442785580375762 Log Q3, 1 *(Boric acid) = 6.387948113890130 g Q4,2 (Boric acid) = 11.624870845715700 11 = 9.458653143921833E-002 21 = 8.948553664834875E-002 RB31 = 7.887064281284842 RB42 = 4.393446869631748 H3B03 = 9.723337525827483E-002 B(OH)4 = 9.196967705808126E~003 B2(0H)7 = 8.460257278496524E-004 B3 (OH) 10 = 7.250391626487314E-003 B4(0H)14 = 3.927053568261289E-004 CBEB = -1.808201205057073E-002 Total mass of dodecahydrate TSP, lb = 15808.407961272670000 PPM o'f dodecahydrate.TSP = 6484.649383987609000 MW of dodecahydrate TSP = 380.160000000000000 Log (gamma H2P04k-- - = -1.0218j2688024483E-001 pKl (Phosphoric acid) = 2.207469022593650 pK2 (Phosph9ric ~cid) = 7.192725264958558
- pK3 (Phosphoric acidJ = 12.359999656677250 RPl = 784719.141157243200000 RP2 = 12.996444048988500 RP3 = -1.415522207913773E-004 H3P04 = 1.536540784106000E-009 H2P04 = 1.205752964456737E-003 HP04 = l.567050093946400E-002 P04 = 2.218194208894494E-006
= 1.687847363467041E-002 EP = 1.808201147799982E-002 ---~------------------------~---------------------
Charge balance error = 3.585260087619352E-007
PALISADES NUCLEAR PLANT, EA-:-FC-949-01, REV. 3, SHEET B 68 NTAINMENT SUMP pH CONTROL USING PURE TRISODIUM PHOSPHATE, DODECAHYDRATE ption 1 = 1 (pK values are calculated) Option 2 = o (qtiantity of TSP is calculated) Option 3 =.0 (input quantity is in PPM) Temperature, deg F = 120.000000000000000 A (constant. of activity) S.360999703407288E-001 B (constant of activity) = 3.343000113964081E-001 Solution ionic strength = S.635003059635947E-003 Total initial mass of water, lb = 2437820.000000000000000 Total final mass of water, lb = 2~38690.751785803000000 Density of water, lb/cuft = 61.690000534057620 pK (water) = 13.289869721292580 pK (OH) = 6.252875734866054 Log (gamma OH) = -3.699398642652135E-002 Equilibrium pH = 7.000000000000000 Log (gamma. H) = -3.282875749430180E-002 Total mass of Boron, lb = 3500.709520000000000 PPM of Boron = 1436.000000000000000 MW of Boron = 10.810000000000000 Log Ql,l (Boric acid) = 4.212742111889882 Log Q2,1 (Boric acid) * = 4.22592g091290451 '";~ .' Log Q3,1 (Boric acid) = 6.040204826284127 og Q4,2 (Boric acid) = 10.844338172853560 11 = 9.117302765996312E-003 21 = 9.398387699085837E-003 RB31 = 6.128145828167100E-001 RB42 = 2.180653702304673E-002 H3B03 = l.260683491428565E-001 B(OH)4 = l.149403308344754E-003 B2(0H)7 = 1.493707246955981E-004
. B3 (OH) 10 = 1 .. 227855581780763E-003 B4(0H)14 = S.508216050252969E-006 CBEB = -2.53809682479719dE-003 Total mass of dodecahydrate TSP, lb = 1532.522894615158000 PPM of dodecahydrate TSP = 628.644811600182800 MW of dodecahydrate TSP * = 380.160000000000000 Log (gamma H2P04,}i-;' -: = -3. 657215176833558E-002 pKl (Phosphoric ~cid} = 2.251674779142454 pK2 (Phosphoric*-a._cid) = 7. 203498928550955
- pK3 (Phosphoric acid) - 12.359999656677250 RPl = 60939.287565290880000 RP2 = 8.057819352500190E-001
. RP3 = 6.650604198437849E-006 H3P04 = 1:484394314655768E-008.
H2P04 = 9.045793200109073E-004 HP04 - 7.288936750655351E-004 P04 = 4.847583335605641E-009 NA = l.633492686602925E-003 -~~~~-b~i~~~~-~;;~;----c-----------~--~~~~~;~~~;~~;:::::~::~
PALISADES NUCLEAR PLANT, EA-FC-949-01, REV. 3, . SHEET B 69 AINMENT SUMP pH CONTROL USING PURE TRISODIUM PHOSPHATE, DODECAHYDRATE ption 1 = 1 . (pK values are calculated) Option 2 = O (quantity of TSP is calculated) Option 3 = O (input quantity is in PPM) Temperature, deg F = 120.000000000000000 A (constant of activity) = 5.360999703407288E-001 B (constant of activity) = 3.343000113964081E-001
.Solution ionic strength = 9.971680505796714E-003 Total initial mass of water, lb = 2437820.000000000000000 Total final mass of water, lb = 2439303.622246582000000,.
Density of water, lb/cuft = 61.690000534057620 pK (water) = 13.289869721292580 pK (OH) = 6.041936202917007 Log (ganuna OH) = -4~793351837556841E-002 Equilibrium pH = '7.200000000000000 Log (ganuna H) = -4.116597548796113E-002 Total mass of Boron, lb = 3500.709520000000000 PPM of Boron = 1436.000000000000000 MW of Boron = 10.810000000000000 '* i . Log Ql, 1 (Boric acid) = 4.213638425814246 . ~\ Log Q2,1 (Boric acid) = 4.225929091290451 :j,'- .\. Log Q3,1 (Boric acid) = 6.040204826284127 g Q4,2 (Boric acid) = 10.844338172853560 11 =
- 1.4a4917149145640E-002 21 = 1.527541044357277E-002 '.
RB31 = 9.960212940824503E-001 RB42 = 5.760574094190669E-002 H3B03 * = 1.232478194743326E-001 B(OH)4 = 1.830128007322425E-003 B2(0H)7 = 2.320338666022226E-004 B3(0H)10 = 1.864688775259567E-003 B4(0H)14 = 1.329176776320341E-005 CBEB = -3.954272769521302E-003
--------~----~--------------------------------------
Total mass of dodecahydrate TSP, lb = 26il.174840627780000 PPM.of dodecahydrate TSP = 1071.110599071211000 MW of dodecahydrate* TSP = 380.160000000000000 Log ( ganuna . H2 P04 )7-- * - * = -4.722769398640148E-002 _pKl (Phosphoric*acidl: = 2.251674779142454 pK2 (Phosphoric* _acid) = 7.203498928550955 pK3 (Phosphoric acid)_* = 12.359999656677250 RPl = 98981.245619346530000 RP2 ' - '1.374624732053827 RP3 = 1.*191622824770~~5E-005 H3P04 = 1.183816261261668E-008 H2P04- = 1.171756081241177E-003 HP04 = 1.~10724889208596E-003 P04 = 1.919376542406842E-008
= 2.782512002377809E-003 p = 3.954272566178786E-003 Charge balance error = 7.323111012399726E-007
PALISADES NUCLEAR PLANT; EA-FC-949-01, REV. 3, .SHEET B 70 AINMENT SUMP pH CONTROL USING PURE TRISODIUM PHOSPHATE, DODECAHYDRATE ption 1 = 1 (pK values are calculated) Option 2 = O (quantity of TSP is calculated) Option 3 =_0 (input quantity is in PPM) Temperature, deg F = 120.000000000000000 A (constant of activity) = 5.360999703407288E-001 B (constant of activity) = 3.343000113964081E-001 Solution ionic strength = 1.73S934940706267E-002
----------------------~-----------------------------
Total initial mass of water, lb = 2437820.000000000000000 Total final mass of water, lb = 2440319.600397387000000 Density of water, lb/cuft = 61.690000534057620 pK (water) = 13.289869721292580 pK (OH) - = 5.828624613363378 Log (gamma OH) = -6.124510792919684E-002 Equilibrium pH = 7.400000000000000 Log (gamma H)
= -5.061365941466103E-002 -------~------------------------------~--~-----~----
Total mass of Boron, lb = 3500.709520000000000 PPM of Boron = 1436.000000000000000 MW of Boron = 10.810000000000000 Log Ql,1 (Boric acid) = 4.215142552591596 ' Log Q2,1 (Boric acid} = 4.225929091290451 Log Q3,1 (Boric acid} = 6.040204826284127 g Q4,2 (Boric acid} = 10.844338172853560 11 = 2.435106383838693E-002 21 = 2.496344266437383E-002 RB31 = 1.627721923359803 RB42 = 1.538469695903294E-001 H3B03 = 1.191421821297650E-001 B(OH)4 = 2.901238882886631E-003 B2(0H)7 = 3.543525628208548E-004
-B3 (OH) 10 = 2.752813967489467E-003 B4(0H)l4 = 3.099924713730053E-005 CBEB = -6.071842976019161E-003 Total mass of dodecahydrate TSP, lb = 4399.297600115918000 PPM of dodecahydrate TSP = 1804.603129072662000 MW of dodecahydrate- TSP-_- = 380.160000000000000 Log (gamma - H2 P04 )~:~ ::_:- = -6.009751326878699E-002 pKl (Phosphoric acid} = 2.251674779142454 pK2 (Phosphoric :acid} _ = 7;203498928550955 pK3 (Phosphoric acid}-_ = 12.359999656677250 RPl = 161593.070828059600000 RP2 = 2.381187594254140 RP3 = 2.190220853614836E-005 H3P04 = 8.576381543395203E-b09 H2P04 = 1.3858S3830190324E-003 HP04 = 3.300049383526611E-003 P04 = 7.227836977758768E-008 A = 4.686014068468256E-003 EP = 6.071842773051889E-003 Charge balance error = 4.033898137083626E-007
PALISADES NUCLEAR PLANT, EA-FC-949-01, REV. 3, SHEET B 71 << AINMENT SUMP pH CONTROL USING PURE TRISODIUM PHOSPHATE, DODECAHYDRATE ption 1 = 1 Option 2 = O Option 3 = o (pK values are calculated) (quantity of TSP is calculated) (input quantity is in PPM) Temperature, deg F = 120~000000000000000 A (constant of activity) = 5.360999703407288E-001 B (constant of activity) = 3.343000113964081E-001 Solution ionic strength = 2.917860871254138E-002 Total initial mass of water, lb = 2437820.000000000000000 Total final mass of water, lb = 2441901.753325583000000 Density of water, lb/cuft = 61.690000534057620 pK (water) = 13.289869721292580 pK (OH) = 5.613548433143384 Log (gamma OH) = -7.632128814919210E-002 Equilibrium pH = 7.600000000000000 Log (gamma H) = -6.048808382249552E-002 Total mass of Boron, lb = 3500.709520000000000 PPM of Boron = 1436.000000000000000 MW of Boron = 10.810000000000000 Log Ql,l (Boric acid) = 4.217475754884338 Log Q2,l (Boric acid) 4.225929091290451 - .
=
Log Q3,l (Boric acid) = 6.040204826284127 g Q4,2 (Boric acid) = 10.844338172853560 11 = 4.017235776360268E-002 21 = 4.096195330404975E-002 RB31 = 2.670892405068630 RB42 = 4.142297689226603E-001 H3B03 = l.134594159184150E-001 B(OH)4 = 4.557932247923965E-003 B2(0H)7 = 5.273048248793711E-004 B3(0H)l0 = 3.901018623889308E-003 B4(0H)l4. = 6.864414193487619E-005 CBEB = -9.125949842076582E-003 Total mass of dodecahydrate TSP, lb= 7183.886760511225000 PPM of dodecahydrate TSP = 2946.848725710358000 MW of dodecahydrate TSP = 380.160000000000000 Log (gamma H2P04k = -7. 454734983784994E-002 pKl (Phosphoric acid) = 2.251674779142454 pK2 (Phosphoric acid) = 7.203498928550955 pK3 (Phosphoric acid) = 12.359999656677250 RPl = 264772.313812377700000 RP2 = 4.170067846621081 RP3 = 4.099558541641028E-005 H3P04 = 5.586177808225552E-009 H2P04 = 1.479065223651236E-003 HP04 = 6.167802332203439E-003 P04 = 2.528526673413806E-007
= 7. 647125994699825E-*003 P * = 9.125949538039335E-003
------------------------~------------------------
Charge balance error = 3.701768895013657E-007
PALI°SADES NUCLEAR PLANT I EA-FC-949-01, REV. 3, SHEET B 72 AINMENT SUMP pH CONTROL USING PURE TRISODIUM. PHOSPHATE, DODECAHYDRATE. ption 1 = 1 (pK values are calculated) Option*2 = O (quantity of TSP is calculated) Option 3 = O (input. quantity is in PPM)
*Temperature, deg F = 120.000000000000000 A (constant of activity) = 5.360999703407288E-001 B (constant of activity) 3.343000113964081E-001 Solution ionic strength = 4.637171470262304E-002 Total initial mass of water, lb = 2437820.000000000000000 Total final mass of water, lb = 2444185.431051848000000 Density of wateri lb/cuft = 61.690000534057620 pK (water) = 13.289869721292580 pK. (OH) = 5.397658871288648 Log (gamma OH) = -9.221085000392779E-002 Equilibrium pH = 7.800000000000000 Log (gamma H) = -7.005554089431036E-002 Total mass of Boron, lb = 3500.709520000000000 PPM of Boron = 1436.000000000000000 ..
MW of Boron = 10.810000000000000 Log Ql,1 (Boric acid) = 4.220780216123892 ... ; Log Q2,1 (Boric acid} = 4.225929091290451" *-* Log Q3,1 (Boric acid) = 6.040204826284127 g Q4,2 (Boric acid) - 10.844338172853560
- 11. = 6.654590640220043E-002 21 = 6.73395515715i499E-002 RB31 = 4.390823248053090 RB42 = . 1.119490545805999 H3B03 = 1.060679738662059E-001 B(OH)4 7.058389461171578E-003 B2(0H)7 = 7.575979064861410E-004 B3(0H)10 = 5.239607725635679E-003 B4(0H)14 = 1.416959776565738E-004 CBEB = -1.334297101556293E-002 Total mass of dodecahydrate TSP, lb =
11203.161028200070000. PPM of dodecahydrate TSP =
- 4595.565311712953000.
MW of dodecahydra~e. TSJ?*. * = 380 .160000000000000 Log (gamma H2PQ4}~~-~,-::** : . . = -8. 963384844509367E-002 pKl (Phosphoric acid} = 2.251674779142454 pK2 (Phosphoric acid)*. = 7. 203498928550955 . pK3 (Phosphoric -~cidf = 12.359999656677250 RPl = 434469.275070959600000 RP2 = 7.335042~00215150 RP3 = 7.729823643103060E-005 H3P04 = 3.289855689495590E-009 H2P04 = 1.429341216503221E-003 HP04 = 1.048427814155799E-002 P04 = 8.104162105948353E-007 NA = 1.191443306412749E-002 ~~~~-b~i~~~~-~~~~;----------------=--~~~~;~~~~~~~;:::::~::~
PALISADES NUCLEAR PLANT, EA~FC-949~01, REV. 3, SHEET B 73 NTAINMENT SUMP pH CONTROL USING PURE TRISODIUM PHOSPHATE, DODECAHYDRATE
------------------~--~~----------------------------
- *Option 1 = :L * (pK values are calculated)
Option 2 = O * (quantity of TSP is calculated) Option 3 = O . (input quantity is in PPM)
----------------------~-----------------------------
Temperature, deg F = 120.000000000000000 A (constant of activity) = 5.360999703407288E-001 B (constant of activity) = 3.343000113964081E-001 Solution ionic strength = 6.958365922574974E-002 Total* initiai mass of water, lb . = 2437820.000000000000000 Total final mass of water, lb = 2447259.023028368000000 Density o"f water, lb/ cuft. = 61.690000534057620 pK (water) * = 13.289869721292580 pK (OH) . = 5.181806516611686 Log (gamma OH) = -l.080632046808897E-001 Equilibrium pH 8.000000060000000 Log (gamma H) = -7.884245866422371E-002 Total mass of Boron, lb = 3500.709520000000000 PPM of .Boron = 1436.000000000000000 '* *.*
~
MW of Boron = 10.810000000000000 .. ~.. Log Q1,l (Boric acid) * = 4.2250939959722~0 Log Q2,1 (Boric acid) = 4.225929091290451 Log Q3,1 (Boric acid) = 6.040204826284127 og Q4,2 (Boric acid) = 10.844338172853560 11 - 1.104809701927763E-001 21 -*. 1.106936160036503E-001 RB31 = 7.217691404489326 RB42 - 3.024998332793317 H3B03 = 9.707161156140892E-002
.B(OH)4 =
- 1.072456582348078E-002 B2(0H)7 *= 1.043054627519012E-003 B3(0H)l0 = 6.601992534657916E-003 B4(0H)l4 = 2.685926342426231E-004 CBEB = -1.891336577247102E-002 Total mass of dodecahydrate TSP, lb = 16612.68476041~900000 PPM of dodecahydrate TSP = 6814.565784354013000 MW of dodecahydrat:e
- TSP *. = 380.160000000000000 Log (gamma H2 P04)f* ... : * = -1.045409174971827E-001 pK1 (Phosphoric. acid) * = 2.251674779142454 pK2 (Phosphoric ~cid). = . 7. 203498928.550955 '
pK3 (Phosphoric acid) - = 12~359999656677250 RP1 = 712633.342843307800000 RP2 = 12.886169035361840 RP3 = l.454470545631155E-004 H3P04 = 1.782869667628152E-009 H2P04 = 1.270532371095787E-003 HP04 = 1.637229489883939E-002 P04 = 2.381302069474910E-006 A = 1.764521035487432E-002 EP = 1.891336498963997E-002 Charge balance error = 4.514541956730353E-007
PALISADES 'NUCLEAR PLANT, EA-FC-949-01, REV. 3, SHEET B 74 NTAINMENT SUMP pH CONTROL USING PURE TRISODIUM PHOSPHATE, DODECAHYDRATE
- tion 1 = 1 {pK values are calculated)
Option 2 = 0 (quantity of TSP is calculated) Option 3 = O * (input quantity is in PPM) Temperature, deg F = 140.000000000000000' A (constant of activity) = 5.493999719619751E-001 B (constant of activity) = 3.370999991893768E-001 Solution ionic strength = 5.622997899346216E-003 Total initial mass of water, lb = 2437820.000000000000000 Total final mass of water, lb = 2438696.104716697000000 Density of water, lb/cuft = 61.380001068115230 pK (water) = 13.016391055855620 pK (OH) = 5.978542010268326 Log (gamma OH) = -3.784904558728959E-002 Equilibrium pH = 7.000000000000000 Log (gamma H) = -3.356219718736519E-002 *
--~-------------------------------------------------
Total mass of Boron, lb = 3500.709520000000000 PPM of Boron = 1436.000000000000000 MW of Boron = 10.810000000000000 LogQl,1 (Boric acid} = . 3.989155022401724 Log Q2,1 (Boric acid}. = 4.026454267104769 Log Q3,1 (Boric acid} - 5.716405454513771 og Q4,2 (Boric acid} = 10.136915721046030 11 = 1.024738403100851E-002 21 = 1.116637623878133E-002 RB31 = 5.468439910219155E-d01. RB42 = l.512974820915620E-002 H3B03 = l.256525040193636E-001 B(OH)4 = 1.287609463144260E-003 B2(0H)7 = 1.763009092883854E-004 B3(0H}10 = 1.084867970463491E-003 B4(0H)14 = 3.771518924858003E-006 CBEB = -2.557263996131057E-003 Total mass of dodecahydrate TSP, lb = 1541.944022568897000 PPM of dodecahydrate TSP = 632.509382386270200 MW of dodecahydrate. TSP* 380.160000000000000 Log (gamma H2P04}.:sL:'*~ , = -3.741459923689372E-002 pKl (Phosphoric ac~d} = 2.300195859311883 pK2 (Phosphoric ~cid} = 7.223692862926470 pKj (Phosphoric*~ciid~ = 12.359999656677250 RPl = 54603.281071022820000 RP2 = 7.736614097601899E-001 RP3 = 6.715422469967413E-006 H3P04* = l.688475572286247E-008 H2P04 = 9.219630625510206E-004 HP04 7.132872427200447E-004 P04 = 4.790025177303288E-009 NA = 1~635271980051965E-003 EP* = 2.557264022089254E-003 arge balance error = 1.784198605393634E-007
PALISADES NUCLEAR PLANT, EA-FC-949-01, REV. 3, SHEET B 75 NTAINMENT SUMP pH CONTROL USING PURE TRISODIUM PHOSPHATE, DODECAHYDRATE tion 1 = 1 (pK values are calculated) Option 2 = O (quantity of. TSP is calculated) Option 3. = O (input quantity. is in PPM) Temperature, deg F = 140.000000000000000 A (cortstant of activity) = ~.493999719619751E-001 B (constant of activity) = 3.370999991893768E-001 Solution ionic strength = 9.990546662524394E-003 Total initial mass of* water, lb = 2437820.000000000000000 Total final mass of water, lb = 2439318.507485819000000 Density of water, lb/cuft = 61.380001068115230 pK (water) = 13.016391055855620 pK (OH) = 5.767269857653116 Log (gamma OH) = -4.912119820249956E-002 Equilibrium pH = 7.200000000000000 Log (gamma H) = -4.213632654025326E-002 Total mass of Boron, lb = 3500.709520000000000 PPM of Boron = 1436.000000000000000 MW of Boron ....; 10.810000000000000 . Log Ql,1 (Boric acid) = 3.990041693313088 --;\ Log Q2,1 (Boric acid) = 4.026454267104769 Log Q3,l (Boric acid) = 5.716405454513771 og Q4,2 (Boric acid)* = 10.136915721046030 11 = 1.670212907677121E-002 21 = 1.816286727920429E-002 RB31 = 8.894787905199061E-001 RB42 = 4.002911659501573E-002 H3B03 = 1.229328940822207E-001 B(OH)4 = 2.053241064742294E-003 B2(0H)7 = 2.744862672321265E-004 B3(0H)l0 = 1.652494088409128E-003 B4(0H)14 = 9.142151822711170E-006 CBEB = -4.000145152869301E-003 Total mass of dodecahydrate TSP, lb = 2637.372835062611000 PPM of dodecahydrate TSP = 1081.857083403455000 MW of dodecahydrate:-_TSP. = 380.160000000000000 Log (gamma H2P04)~;:,_:,: ,_ = -4.839193870110983E-002 pKl (Phosphoric *acid) - .2.300195859311883 pK2 (Phosphoric ~'.(::id.). = 7.2236928~2926470 pK3 (Phosphoric acid)'._ = 12.359999656677250 RPl - 88755.66440771123GOOO RP2. = 1.322765786104638 RP3 = 1.207702698877~64E-005 H3P04 = 1.356361633604919E-008 H2P04 = 1.203847779677331E-003 HP04 = 1.592408654635208E-003 P04 = 1.923156229919409E-OOb NA = 2.796289229491175E-003 EP = 4.000144904838880E-003
~ arge balance error = 8.555390086880705E-007
PALISADES NUCLEAR PLANT, EA-FC-949-01, REV. 3, SHEET B 76 NTAINMENT SUMP pH CONTROL USING PURE TRISODIUM PHOSPHATE, DODECAHYDRATE
-----------------------~--------------------------
ption 1 = 1 (pK values are calculated) Option 2 = O (qU..antity of TSP is calculated) Option 3 = O (input quantity is in PPM) Temperature, deg F = 140.000000000000000 A (constant of activity) = 5.493999719619751E-001 B (constant of activity) 3.370999991893768E-001 Solution ionic strength = l.75431331~532793E-002 Total initial mass of water, lb = 2437820.000000000000000 Total .final mass of water, lb = 2440360.963673129000000 Density of water, lb/cuft = 61.380001068115230 pK (water) . = 13.016391055855620 pK (OH) = 5.553457494088996 Log (gamma OH) = -6.293356176661946E-002 Equilibrium pH = 7.400000000000000 Log* (gamma H) = -5.190907438914991E-002 Total mass of Boron, lb = 3500.709520000000000 PPM of Boron = 1436.000000000000000 MW of Boron = 10.810000000000000
-g
- Log* Ql, 1 (Boric acid) = 3.991545114938211 '
Log Q2,l (Boric acid) = 4.026454267104769 ..-,~:! '* Log Q3,1 (Boric acid) = 5.716405454513771 Q4,2 (Boric acid) = 10.136915721046030 11 -* 2.742127352549337E-002 . 21 . . 2.971643951135609E-002
=
RB31 = 1.455284689845344 RB42 = l.07152il13418327E-001 H3B03 = l.189394202848070E-001 B(OH)4 = 3.261470376593308E-003 B2(0H)7 = 4.203861581775001E-004 B3(0H)l0 = 2.448642666600961E-003 B4(0H)l4 = 2.144391131570324E-005 CBEB = -6.176138193230105E-003 Total mass of dodecahydrate TSP, lb= 4472.097224950930000 PPM of dodecahyd~ate TSP = 1834.465721403110000 MW of dodecahydrate TSP'. . ~ .. * = 380 .160000000000000* Log (gamma _H2P04')~ * * .: = -6 .174149770577105E-002 pKl (Phos~horic ~cid). = 2.300195859311883 pK2 (Phosphoric acid) = 7.223692862926470 pK3 (Phosphoric acid):* = 12.359999656677250 RPl = 145059.320374719500000 RP2 = 2.298961139279025 RP3 = 2.232070110258312E-005 H3P04 = 9.903888414313497E-009 H2P04 * = 1.436651322447374E-003 HP04 * = 3.302805561000334E-003 P04 = .7~372093572703780E~008 NA = 4. 739540508271850E-.003
.tl~~~-b~i~~~~-~~~~~----------------=--~~~;~~~~;~~~~:::::~::~
PALISADES NUCLEAR PLANT, EA-FC-949-01, REV. 3, SHEET B 77 AINMENT SUMP pH CONTROL USING PURE TRISODIUM PHOSPHATE, DODECAHYDRATE ption 1 = 1 (pK, values are calculated) Option 2 ,.; O (quantity of TSP is calculated) Option 3 = O (input quantity is in PPM)
--------------------------~-------------------------
Temperature, deg F * * = 140.000000000000000 A (constant of activity) = S.493999719619751E-001 B (constant of activity) = 3.370999991893768E-001 Solution ionic strength = 2.970537389876368E-002 Total initial mass of water, lb = 2437820.000000000000000 Total final mass of water, lb = 2442005.034285246000000 _,.* Density of water, lb/cuft = 61.380001068115230 pK (water) = 13.016391055855620 pK (OH) = 5.337702031594193 Log ( ganuna OH) -7.868902426142275E-002 Equilibrium pH = 7.600000000000000 Log* ( ganuna H) -6.217770856721262E-002
--~-------~----------------------------------~------
Total mass of Boron, lb = 3500.709520000000000 PPM of Boron = 1436.000000000000000 '....'. MW of Boron = 10.810000000000000 Log Ql,1 (Boric acid) = 3.99390~719084049 Log Q2,1 (Boric acid) = 4.026454267104769 *, tlg Log Q3,1 (Boric acid) = 5.716405454513771 Q4,2 (Boric acid) = 10.136915721046030 11 = 4.531100422104724E-002 2.1 = *4.883736632539302E-002 RB31 = 2.391681933448079 RB42 = 2.894087502618700E~oo1 H3B03 = 1.133529895101434E-001 B(OH)4 = 5.136137786162431E-003 B2(0H)7 = 6.27506447454i396E-004 B3(0H)10 = 3.483392065779099E-003 B4(0H)l4 = 4.777971684707337E-005 CBEB = -9.347161879551995E-003 Total mass of dodecahydrate TSP, lb = 7365.661611179104000 PPM of dodecahydrate. TSP = 3021.413234438598000 MW of dodecahydrate TSP' = 380.160000000000000 Log (ganuna H2P04'.)f~:. :o.. * = -7. 683417460799274E-002 pKl (Phosphoric *a:cfd) = 2.300195859311883 pK2 (Phosphoric acid) = 7.223692862926470 pK3 (Phosphoric acid) = 12.359999656677250 RPl = 238033.627626586400000 RP2 = 4.043986162705874 RP3 - . 4.208925284533663E~oo5
. H3P04 = 6.497062755418379E-009 H2P04 = 1.546519416589822E-003 HP04 = 6.254103121045202E-003 P04 = 2.632305275824805E-007
.. .* . = 7. 800892265225362E-003 EP . . . = 9.347161445413112E-003
- --------------~-----------------------------------
Charge balance error * = 4.922733696937815E-007
PALISADES NUCLEAR PLANT, EA-FC-949-01, REV. 3, SHEET B 78 NTAINMENT SUMP pH CONTROL USING PURE TRISODIUM PHOSPHATE, DODECAHYDRATE i p~i~~ -~ -=- ~ ~ -,~~-~ ~;1~~~ -~~~ -~~i6~i~~~d.)- ----------- -
- I
- Option 2 = o (quantity *of TSP is calculated) Option 3 = O (input quantity is in PPM)
------------~-------------------------------~--~----
Temperature, deg F = 140.000000000000000 A (constant of activity) = S.493999719619751E-001 B (constant of activity) = 3.370999991893768E-001 Solution ionic strength = 4.767542382735296E-002 Total initial mass of water, lb = 2437820.000000000000000 Total final mass of water, - lb = 2444409.094774532aooooo Density of water, lb/cuft = 61.380001068115230 pK*- (water) = 13.016391055855620 pK (OH) 5_.121004403943798 Log. (gamma OH) = -9.538665191181844E-002 Equilibrium pH * . 7.800000000000000 Log (gamma H) - -7.215877301190857E-002 Total mass of Boron, lb = 3500.709520000000000 PPM of Boron = 1436.000000000000000 MW of.Boron = 10.810000000000000 Log Ql,l (Boric acid) = 3.997287919440638 - ' Log Q2,1 (Boric acid) = 4.026454267104769 Log Q3,1 (Boric acid) = 5.716405454513771 g Q4,2 (Boric acid) - 10.136915721046030 11 = 7.521137275862280E-002 21 = 8.043588845128577E-002 RB31 = 3.939136683334183 RB42 = 7.850673449469466E~001 H3B03 = 1.060039831944139E-001 B(OH)4 = 7.972705093933852E~003 B2(0H)7 = 9.038455669725201E-004 B3(0H)10 = 4.692103726136986E-003 B4(0H)14. = 9.912784193367115E-005 CBEB = -1.377445960945335E-002 Total mass of dodecahydrate TSP, lb -- 11596.810265803360000
.PPM of dodecahydrate TSP- = 4757.041235941687000 MW of dodecahydra_te, TSP, _ = 380.160000000000000
-Log - (gamma. H2P04}:{° - = ~9.267465793990494E-002 pKl (Phosphoric a_cid) = 2.300195859311883 pK2 (Phosphoric *acid) = 7.223692862926470 pK3 *(Phosphoric acid) = 12.359999656677250 RPl = 391272.025557314100000 RP2 = 7.150412736495303 RP3 = 8.005226659598957E-005 H3P04 *= 3.847287988823789E-009 H2P04 = 1.505336164289409E-003 HP04 = 1.076377488184198E-002 P04 = 8.616645764204303E-007
= 1.226997655799580E-002 p = 1.377445875228477E-002 Charge balance error = 6.405912906752943E~007
PALISADES.NUCLEAR PLANT, EA-FC-949-01, REV. 3, SHEET B 79 AINMENT SUMP pH CONTROL USING PURE TRISODIUM PHOSPHATE, DODECAHYDRATE tion 1 = 1 (pK. values are calculated) Option. 2 = O (quantity of TSP is. calculated) Option 3 _= O (input quantity is in PPM) Temperature, deg F- = 140.000000000000000 A (~onstant of activity) = 5.493999719619751E-001 B (constant of activity) = 3.370999991893768E-001 Solution ionic strength = 7.221228529988730E-002 Total initial mass of water, lb = 2437820.000000000000000 Total final mass of water, lb = 2441682.522851191000000 Density of water, lb/cuft = 61.380001068115230 pK (water) = 13.016391055855620 pK (OH) = 4.904294876204798 Log (ganuna OH) = -l.120961796508184E-001 Equilibrium pH .* = 8.000000000000000 Log (ganuna H) = -8.132995783531098E-002 Total mass of Boron, lb = 3500.709520000000000 PPM of Boron = 1436.000000000000000 -*" MW of Boron = 10.810000000000000 . ;:> .. Log Ql,1 (Boric acid) = 4.001744453191055. ;_ Log Q2,1 (Boric acid) = 4.0264542671Q4769 Log Q3,1 (Boric acid) = 5.716405454513771 g Q4,2 (Boric acid) . 10.136915721046030 11 1~251553955076926E-001 21 = 1.324827672455254E-001 RB31 =~, 6.487996072580602 RB42 = 2.129736964019607 H3B03 = 9.696094470800937E-002 B(OH)4 = 1.213518538373043E-002 B2(0H)7 = 1.245526773378462E-003 B3(0H)10 = 5.9I4269263039344E-003 B4(0H)14 = 1.882406100564368E-004 CBEB = -1.968391594930589E-002 Total mass of dodecahydrate TSP, lb = 17358.046583070060000 PPM of dodecahydrate TSP = 7120.315110660368000 MW of dodecahydrate' TSP:* * = 380.1600000-00000000 Log ( ganuna H2P04.F::. *..* = -1.083693677457724E-001 pKl (Phosphoric acid). = 2.300195859311883 pK2 (Phosphoric acid) = 7.223692862926470 -pK3 (Phosphoriri acid~ = 12.359999656677250 RPl = 642944.533883649200000 RP2 = 12.630345778438450 RP3 = 1.520012579172048E-004 H3P04 = 2.092585625139968E-009 H2P04 - 1.l45416489367241E-003 HP04 = 1.699307547672101E-002. P04 = 2.582968848343599E-006 NA = 1.834107702752222E-002 EP = 1.968391473321237E-002 arge balance error = 6.363846539387137E-007
PALISADES NUCLEAR PLANT, EA-FC-949-01, REV. 3, . SHEET B 80. AINMENT SUMP pH CONTROL USING PURE TRISODIUM PHOSPHATE, *noDECAHYDRATE ption 1 = 1 (pK-values are calculated) Option 2 = o (qliantity of TSP is calculated) Option 3 =O (input quantity is in PPM).
------------~-----*----------------------------------
Temperature, deg F = 160.000000000000000 A (constant of activity) = 5.640000104904i75E-001 B (constant of activity) = 3.4000000357627S7E-001 Solution ionic strength = 5.509143697880285E-003
-------------------------------------~--------------
Total initial mass of water, lb = 2437820.000000000000000. Total final mass of water, .lb *= 2438688.063717008000000 Density of. water, lb/cuft = 60.975000381469730 -* pK (water) = 12.772801476477320 pK (OH) = 5.734336796724228 Log (gamma OH) = -3.846467975309538E-002 Equilibrium pH = 7.000000000000000 Log (gamma H) = -3 .. 411399868136943E-002 Total mass of Boron, lb = 3500.709520000000000 PPM of Boron = - 1436.-".'100000000000000 1
\.;
MW of Boron = J * )0000000000000 Log Q1,1 (Boric acid) = \.__/82457304400556 Log Q2,1 (Boric acid) = 3.842583945556005 Log Q3,1 (Boric acid) = 5.414207451603573 g Q4,2 (Boric acid} = 9.494845015994617 11 = 1.117173197077978E-002 21 = 1.283060540586031E-002 RB31 = 4.784875640348217E-001 RB42 = 1.062114707076871E-002 H3B03 = 1.250828565244202E-001 B(OH)4 = 1.397392147230325E-003 B2(0H}7 = 2.007440723938205E-004 B3(0H}10 = 9.364056532706917E-004 B4(0H}14 = 2.599935567780769E-006 CBEB = -2.541477157403433E-003 Total mass of dodecahydrate TSP, lb = 1527.791841802914000 I PPM of dodecahydrate TSP = 626.704121634457900 MW of dodecahydra!;e, _TSP -*- = 380 .160000000000000 Log. (gamma H2P04'):~:.~, - = -3. 802383281713616E-002 pKl (Phosphoric acid} = 2.352614428726753 pK2 (Phosphoric i:icid,} = 7. 252394943456045 pK3 (Phosphoric acid} = 12.359999656677250 RPl = 48462.900614656010000 RP2 = 7.2723798529477i7E-001 RP3 = 6.762690427848435E-006 H3P04 = 1.922843404313575E-008 H2P04 9.318656880079560E-004 HP04 = 6.776881255122322E-004 P04 . =. 4.582994999468121E-009
*. = 1.609577624949231E-003 P . * * . = 2.541~77186830274E-003
-------------------------------~-----------~-----
- Charge balance error = 2.003161587752512E-007
PALISADES NUCLEAR PLANT, EA-FC-949-01, REV. 3, SHEET B 81 AINMENT. SUMP.pH CONTROL USING PURE TRISODIUM PHOSPHATE, DODECAHYDRATE ption 1 = 1 (pK values are calculated) . Option 2 = o (quantity of TSP is calculated) Option 3 = o (input quantity is in PPM) Temperature, deg F 160.000000000000000 A (constant of activity) = 5.640000104904175E-001 B (constant of activity) = 3.400000035762787E-001 Solution ionic strength = 9.824238302744828E-003 Total initial mass of water, lb = 2437820.000000000000000 Total final mass of water, lb = 2439309.918563743000000 Density of water, lb/cuft = 60~~75000381469730 pK (water) = 12.772801476477320 pK (OH) = 5.522797293240490 Log (gamma OH) = -5.000418323683201E--002
*Equilibrium pH = 7.200000000000000 Log (gamma H) = -4.289281192761722E-002 Total mass of Boron, lb = 3500.709520000000000 PPM of Boron = 1436.000000000000000 MW of Boron = 10.810000000000000 4g Log Ql,1 (Boric acid)
Log Q2,1 (Boric acid) 11 Q3,l (Boric acid) g Q4,2 (Boric acid)
=
=
=
=
=
3.783317975009336 3.842583945556005. 5.414207451603573 9.494845015994617 1.821883831926430E-002 21 = 2.088270013688225E-002 RB31 = 7;787716949351885E-001 RB42 = 2.813522739159229E-002 H3B03 = 1.224908843320772E-001 B(OH)4 = 2 .. 231641617229S18E-003 B2(0H)7 = 3.133243825231996E-004 B3(0H)10 = 1~431269671109695E-003 B4(0H)l4 = 6.333816977606539E-006 CBEB = -3.991834222061333E-003 Total inass of dodecahydrate TSP, lb = 2622.256293469978000 PPM of *dodecahydrate TSP*~ _. * = 1075.656239373694000 MW of dodecahydrate,_-TSP = 380.160000000000000 Log (gamma H2 P041{ .. * = -4.926170186285647E-002 pKl (Phosphoric ?:c.id). * = 2.352614428726753 pK2 (Phosphoric ~fcid) = 7.252394943456045 pK3 (Phosphoric acid).. = 12.359999656677250 RPl = 78821.967846587370000 RP2 = 1.24563316305~443 RP3 = 1.219856803255432E-005 H3P04 = 1.560345124739152E-008 .. H2P04 = 1.22989473251i688E-003 HP04 = 1.531997665891236E-003 P04 = 1;868817775308866E-008 p
= 2.761926690037924E-003
= 3.991833941280354E-003 Charge balance error 9.468013456279312E-007
PALISADES NUCLEAR ~LANT, EA-FC-949-01, REV. 3, SHEET B 82 AINMENT SUMP pH CONTROL USING PURE TRISODIUM PHOSPHATE, DODECAHYDRATE ption 1 = 1 (pK values are calculated) Option 2 = O (quantity of TSP is calculated) Option 3 = O (input quantity is in PPM)
-----------------------~----------------------------
Temperature, deg F = 160.00000QOOOOOOOOO A (constant of activity) = S.640000104904175E-001 B (constant of ~ctivity) = 3.400000035762787E-001 Solution ionic strength = l.738097195526191E-002 Total initial mass of water, lb = 2437820*.000000000000000 Totai final mass of water, lb = 2440363.500391182000000 Density of water, lb/cuft. = 60.975000381469730 pK (water) * = 12.772801476477320 pK (OH) = 5.308528915881484 Log (gamma OH) = -6.427256059583807E-002 . Equilibrium pH = 7.400000000000000 Log (gamma H) = -5:298197977352052E-002 Total mas*s of Boron, lb = 3500.709520000000000 PPM of Boron = 1436.000000000000000 MW of Boron = 10.810000000000000 *- Log Ql,l (Boric acid) = 3.784795247394399 *' Log Q2,1 (Boric acid) = 3.842583945556005 ---~- "
*Log Q3, 1 (Boric acid) = 5.414207451603573 g Q4,2 (Boric acid) = 9.494845015994617 11 = 2.994100208578992E-002 21 = 3.420227776481222E-002 RB31 = -1.275494339858083 RB42. = *7.547223031713315E-002 H3B03 = 1.186462121001410E-001 B(OH)4 = 3.552386483961394E-003 B2(0H)7 = 4.814628526046825E-004 B3(0H)l0 = 2.130297060862209E-003 B4(0H)14 = 1.495556050497438E-005 CBEB = -6.198926948902612E-003 Total mass of dodecahydrate TSP, lb = 4476.562108838770000 PPM of dodecahydi::ate TSP - = 1836.297228195178000 MW of dodecahydrate_. *TSP * = 380.160000000000000 Log (gamma H2P04)f~~- * = -6.305107620896055E-002 pKl (Phosphoric jcid) = 2.352614428726753 pK2 (Phosphoric acid) = 7.252394943456045 pK3 (Phosphoric atid) = 12.359999656677250 RPl = 128954.543230121700000 RP2 = 2.1714922572i8374 RP3
.H3P04
= 2.265978184243774E-005
= 1.152354183782761E-008 H2P04 = 1.486013074090256E-003 HP04 = 3.226865884601427E~003 P04 = 7.312007697987320E-008 A = 4.712963602310501E-003 EP = 6.198926603407452E-003 Charge balance error = 6.242448778256394E-007
PALISADES NUCLEAR PLANT, EA~FC-949-01, REV. 3, SHEET B 83 AINMENT SUMP pH CONTROL USING PURE TRISODiuM PHOSPHATE, DODECAHYDRATE ption 1 = 1 (pK values are calculated) Option- 2 = O (quantity of TSP is calculated) Option 3 = O (input quantity is in PPM) Temperature, deg F = 160.000000000000000 A (constant of activity) = 5.640000104904175E~001 B (constant of activity) = 3.400000035762787E-001 Solution ionic-strength = 2.974408673018976E-002 Total initial mass of water, lb = 2437820.000000000000000 Total final mass of water, lb = 2442049.870773165000000 Density of water, lb/cuft = 60.975000381469730 pK (water). = 12.772801476477320 pK (OH) 5.092094997338506 Log . ( ganuna OH) = -8.070647913881696E-002 Equilibrium pH = 7.600000000000000 Log (ganuna H) = -6.366919831279913E-002 Total mass of Boron, lb = 3500.709520000000000
- PPM of -Boron = 1436.000000000000000 ._,:
MW of Boron = 10.81000000-0000000" Log Ql,l (Boric acid} = 3.787149875694913 -.
- '.:*: \
Log Q2,l (Boric acid} - 3.842583945556005 Log Q3,l (Boric acid} = 5.414207451603573 g Q4, 2 _(Boric acid} = 9.494845015994617 11 = 4.955128008797941E-002 21 = . 5.629747908154634E-002 RB31 .= 2.099483444072469 RB42 = 2.044819703682597E-001 H3B03 = l.132000725818700E-001 B_(OH) 4 = 5.609208502483838E~003 B2(0H)7 = 7.i14103334565270E-004 B3(0H)l0 = 3.045457689327518E-003 B4(0H}l4 = 3.357699628070945E-005 CBEB = -9.451290622193954E-003
-------------------~--------------------------------
Total mass of dodecahydrate TSP, lb = 7444.574257866528000 PPM of dodecahydrate TSP * = 3053.783403970157000 MW of dodecahydr~te_TSP = 380.160000000000000 Log ( ganuna H2 P04' )i(- _=- = -7.878980518160990E-002 pKl (Phosphoric-~~id5 =. - 2.352614428726753 pK2 (Phosphoric cieid} = 7.252394943456045 pK3 (Phosphoric acid} - = 12.359999656677250 RPl __ = 211921.674291371500000 RP2 = 3.836846917711835 RP3. = 4;304764219127871E-005 H3P04 = 7.640756457533350E-009 H2P04 = 1.619241901333076E-003 HP04 = 6.212783298159664E-003 P04 = 2.674456724311297E-007
= 7.832300285921629E~oo3 EP = 9.451290023095188E-003 Charge balance error = 6.423152965867003E-007
PAL.I SADES. NUCLEAR PLANT I EA-FC-949-01, REV .. 3 I SHEET B 84 pH CONTROL USING PURE TRISODIUM PHOSPHATE, .DODECAHYDRATE ption 1 = 1 (pKvalues are*calculated) .
. Option 2 = O * (quantity of TSP is calculated)
Option 3 = o (input quantity is in PPM)
-----------------------~----------------------------
Temperature, deg F. = 160.000000000000000 A (constant of activity) = 5.640000104904175E-001 B (constant of activity) = 3.400000035762787E-001 Solution ionic strength = 4.829971620350678E-002
--~--~----------~------------------------~----------
Total initial mass of water, lb = 2437820.000000000000000 Total final mass of water, lb = 2444553.281860014000000. Density of water, lb/cuft = 60.975000381469730 pK (water) = 12.772801476477320 pK (OH) 4.874546560874230 Log (gamma OH) = -9.825491560.309248E-002 Equilibrium pH = 1.aoooooooooooooo Log (gamma H) = -7.411134573159996E-002 Total mass of Boron, lb = 3500.709520000000000 PPM of Boron = 1436.000000000000000 }'. _ MW of Boron* = 10.810000000000000. *;**; -g Log Q1,1 (Boric acid) = 3.790572178375161. '{ \ Log Q2,1 (Boric acid) = 3.842583945556005 Log Q3,1 (Boric acid) = 5.414207451603573 (Boric acid) = 9.494845015994617 . 11Q4,2 = . 8.241867294497317E-002 21 = 9.290463569591691E-002 RB31 = 3.464662143017649 RB42 = 5.568675281944541E~oo1 H3B03 = 1.059362811513298E-001 B(OH)4 = .8.731127709218177E-003 B2(0H)7 = 1.042621871279055E-003 B3(0H)10 = 4.119030996844998E-003 B4(0H)14 = 7.013435169209442E-005 CBEB = -1.404637962739138E-002
------------------------------~---------------------
Total mass*of dodecahydrate TSP, lb = 11850~580950963600000 PPM of dodecahydr~te TSP* - 4861.138620145703000 MW of dodecahydrat,e-TsP* = 380.160000000000000 Log (gamma: H2 P04::)\f:d;":o-- -'.' * * = -9.542871378680183E-002 pKl (Phosphoric*acidJ = 2.352614428726753 pK2 . (Phosphoric * ~pidl = 7.252394943456045 pK3 (Phosphoric *acid) * = 12.359999656677250 RPl. = 348991.046460227300000 RP2 = 6.821677719121343 RP3 = 8.263117193089431E-005 H3P04. = 4.562~53666654987E~009 H2P04 = 1-592255479552225E-003 HP04 - 1.086185372801028E-002 P04 = 8.975277028874430E-007 N~ EP.
= 1.245501129771906E-002
= 1.404637837447573E-002 harge balance error = 8.721765833085986E-007
PALISADES NUCLEAR P~, EA-FC-949-01, REV. 3, SHEET B 85 NTAINMENT SUMP pH CONTROL USING PURE TRISODIUM PHOSPHATE, DODECAHYDRATE
~~i;~ ~-=- ~- -,~~ -~~i~~~~ ;~~ - ~;i~~i~~~d)- -- - - - - - - - - - .
- Option 2 = O (quantity of TSP is calculated) Option 3 = o (input quantity is in PPM) Temperature, deg F = 160.000000000000000 A (constant of activity) = 5.640000104904175E-001 B (constant of activity) = 3.400000035762787E-001 Solution ionic strength = 7.396539533174995E-002 Total initial mass of water, lb = 2431020.ooooboooooooooo Total final mass of water, lb = 2448005.919502319000000 Density of water, lb/cuft = 60.975000381469730 pK (water) * = 12.772801476477320 pK (OH) = 4.656917403970767 Log (gamma OH) = -1.158840725065558E-001 Equilibrium pH = 8.000000000000000 Log (gamma H) = -8.371762244010772E-002 Total mass of Boron, lb = 3500.709520000000000 PPM of Boron = 1436.000000000000000 ,, MW of Boron = 10.810000000000000 -g Log Ql,1 (Boric acid) = 3.795131240853215 Log Q2,1 (Boric acid) = 3.842583945556005 Log Q3,1 (Boric acid) = 5~414207451603573 Q4,2 (Boric acid) = 9.494845015994617 11 = 1.374718689112775E-001 21 = 1.533439130995419E-001
- RB31 = 5.718604315043030 RB42 = 1.517086026012064 H3B03 = 9.687814978583627E-002 B(OH)4 = 1.331802030772559E-002 B2(0H)7 = 1.439190267324993E-003 B3(0H)10 = 5.19~571508484115E-003 B4(0H)l4 = 1.336329487439919E-004 CBEB = -2.024606930967216E-002 Total mass of dodecahydrate TSP, lb= 17927.227549708410000 PPM of dodecahydrate TSP_ = 7353.794599153511000 MW of dodecahydrate TSP = 380.160000000000000 Log (gamma H2P04J~* - - -1.119729041955123E-001 pKl (Phospho~ici ~cid) =
- 2.352614428726753 pK2 (Phosphoric acid) = 7.252394943456045 pK3 (Phosphoric ~cid} = .12.359999656677250 RPl . = 574590.545204842600000 RP2. - 12.i20590234900250 RP3 = 1.584400111518885E-004 H3P04 = 2.495336927069096E-009 H2P04 = 1.433797005394409E-003 HP04 = 1.737846598241269E-002 P04 = 2.753444344056181E-006 NA .. . = 1. 881501892748808E-002
-EP. . * . . = 2 ~ 024606747921229E-002 ~;~~;~~;i;~~;-;;;~;--------~~------:--;~;;;~~;;~~~~5408E-007
PALISADES NUCLEAR PLANT, EA-FC-949-01, REV. 3, SHEET B 86 NTAINMENT SUMP pH CONTROL USING PURE TRISODIUM PHOSPHATE, DODECAHYDRATE ption 1 = 1 (pKvalues are calculated) Option-2 = O (quantity of TSP is calculated) Option 3 = O - (input quantity is in PPM) Temperature, deg F = 180.oooooobodoooooo A (constant of activity) = 5.799999833106995E-001 B (constant of activity) = 3.431999981403351E-001 Solution ionic strength = 5.318951105676000E-003 Total initial mass of water, lb = 2437820:000000000000000 Total final mass of water, lb = 2438668.661572739000000 Density of water, lb/cuft 60.569999694824220 pK (~ater) - - = .12.556297435655330 pK (OH) = 5.517404580085794 Log (gannna OH) = -3.889285556954154E-002 Equilibrium pH = 7.000000000000000 Log (gamma H) = -3.452306018636355E-002 Total mass of Boron, lb = 3500.709520000000000 PPM of Boron = 1436.000000000000000 MW of Boron = 10.810000000000000 Log Ql,1 (Boric acid) = 3.591262401832356 Log Q2,1 (Boric acid) = 3.672769116099559 <:._. Log Q3 ,_1 (Boric acid) = 5.131562751601854 g Q4,2 (Boric acid) . - 8.911380408079452 . 11 = 1.185380617662962E-002 21 = 1.430093840155664E-002
- RB31 * = 4.112994904921888E-001 RB42 = 7.526121893652974E-003 H3B03 = 1.245309989336296E-001 B(OH)4 = 1.476166324341315E-003 B2(0H)7 *=. 2.217785193472319E-004 B3(0H)10 = 7.943110184883437E-004 B4(0H)14 = 1.810010670851514E-006 CBEB =--2.498805663314982E-003
------------------------------------------~---------
Total mass of dodecahydrate TSP-, lb = 1493.644057418278000 PPM of dodecahydrate TSP __ = 612.696613129057000 MW of dodecahydrate:_ TSP - * = 380.160000000000000 Log (gannna H2 P04J;ff'; ~:~ = ~3.845040974276993E~oo2 pK1 (Phosphoric_~~id} = 2.408564909255364 pK2 (Phosphoric; acid) = 7.288807119913141 pK3 (Phosphoric ac.id)* ._ = 12.359999656677250 RPl = 42646.706812362270000 RP2 = 6.707244056700836E-001 RP3 = 6.795984693402980E-006 H3P04 = 2.193847688071387E-008 H2P04 = 9.356037914415924E-004 HP04 = 6.275322969573389E~004 P04 = 4.264699884738089E~oo9 NA = 1.563162291575697E~003 p = 2.498805695271166E-003 harge balance error
= . 2.194410500607369E-007
PALISADES NUCLEAR PLANT, EA-FC-949-01, REV. 3, SHEET B 87 NTAINMENT . SUMP pH CONTROL USING PURE TRISODIUM PHOSPHATE, DODECAHYDRATE
-----~---------------------------------------------~
ption 1 = 1 (pK values are calculated) Option 2 *.= O .(quantity of TSP is calculated) Option 3 = o (input quantity is in PPM) Temperature, deg F = 180.000000000000000 A (constant of activity) = 5.799999833106995E-001 B (constant of activity) = 3.431999981403351E-001 Solution ionic strength = 9.511787753915960E-003 Total initial mass.of water, lb = 2437820.000000000000000 Total final mass of :water, lb = 2439280.522257004000000 Density of water, lb/cuft = 60.569999694824220 pK (water) = 12.556297435655330 pK (OH) = 5.305662864477156 Log (gamma OH) = -5.063457li7817906E-002
*Equilibrium pH = 7.200000000000000 Log (gamma H) - -4.347101172744215E-002 Total mass of Boron, lb = *3500.709520000000000 PPM of Boron . = 1436.000000000000000 MW of Boron = 10.810000000000000 Log Q1,l (Boric acid) = 3.592084142446655 -
Log Q2,l (Boric acid) = 3.672769116099559 Log Q3,l (Boric acid)* = 5.131562751601854 g Q4 ,*2 . (Boric acid) = 8.911380408079452 11 = 1~933843290340~89E-002 21 = 2.328660902790987E-002 RB31 = 6.697302064756537E-001 RB42 = 1.995513540970179E-002 H3B03 = . 1.220802385532781E-001 B(OH)4 = 2.360840502094S41E-003 B2(0H)7 =* 3.470539487477221E-004 B3(0H)10 -* 1.218529351801091E-Ob3 B4(0H)14 = 4.432371524734843E-006 CBEB = -3.940165753059091E-003 Total mass of dodecahydrate TSP, lb = 2570.5187416119760b0 PPM of dodecahydrate TSP 1054.433363255686000. MW of dodecahydrate TSP;. = 380.160000000000000 Log (gamma H2 P04}( * ': = -4.988721827718429E-002 pKl (Phosphoric acid) = 2.408564909255364 pK2 * (Phosphoric* -acid) = 7.288807119913147 pK3 (Phosphoric acid) = 12.359999656677250 RPl = 69394.061879153570~00 RP2
- 1.150414997816043 RP3 = 1.228673339267772E-005 H3P04 = 1~802264068818652E-008 H2P04 1.250664243141766E-003 HP04. = 1.438782902542537E-003 P04 = 1.767794193348316E-008 NA = 2.689482846266925E-003 EP = 3.940165456748134E-003
----------------~---------------------------------
Charge balance error = 9.942332176618625E-007
PALISADES NUCLEAR PLANT, EA-FC-949-01, REV. 3, SHEET B 88 AI.NMENT SUMP pH CONTROL USING PURE TRISODIUM* PHOSPHATE, DODECAHYDRATE ption 1 =1 (pK values are calculated) Option 2 = O. (quantity of TSP is calculated) Option 3 =O (input quantity is in PPM) Temperature, deg F = 180.000000000000-000 A (constant of activity) = 5.799999833106995E~001 B (constant of activity) = 3.431999981403351E-001 Solution ionic strength = 1.695293.772087578E-002 Total initial mass of water, lb = 2437820.000000000000000 Total final mass of water, lb = 2440329.465589216000000 Density of water, lb/cuft = 60.569999694824220 pK (water) = 12.556297435655330 pK (OH) = 5.090993066489053 Log (gamma OH) = -6.530436916628204E-002 Equilibrium pH = 7.400000000000000 Log (gamma H) = -5.385785442457364E-002
-----------------~----------------------------------
Total mass of Boron, lb. = 3500.709520000000000 PPM of Boro_n * = 1436.000000000000000 ...~ MW of Boron = 10.810000000000000 Log Ql,1 (Boric acid) = 3.593513166205970 ". . Log Q2, 1 (Boric acid) ... \
= 3.672769116099559 Log Q3,1 (Boric acid) = 5.131562751601854 g Q4,2 (Boric acid). = 8.911380408079452 11 - 3.180680890996B33E-002 21 = . 3.817473663858726E-002 RB31 = 1.097917443474574 RB42 - 5.362833024322172E-002 H3B03 = 1.184065790997036E-001 B(OH)4 *- 3.766135435107321E~oo3 B2(0H)7 = 5*.352143113029756E-004 B3(0H)10 = 1.82262443030li32E-003 B4 (OH) 14. = l~054138344685968E-005 CBEB = -6.153121616737109E-003 Total mass of dodecahydrate TSP, . lb = 4416.661087012715000 PPM of dodecahydrate TSP = 1811.725675813930000 MW of dodecahydr~te. -TSP.* = 380.160000000000000 Log (gamma H2 P04 )j: ' : * = -6.406653413608340E-002 pKl (Phosphoric *_acid) = 2.408564909255364 pK2 (Phosphoric acid) = 7.288807119913147
- pK3 (Phosphoric acid) * = 12.359999656677250 RPl = 113632.254912622700000 RP2 = 2.010909299367817
. RP3 - 2.292624947884639E-005 H3P04 = 1.350044693067558E-008 H2P04. = 1.534086227060~61E~003 HP04 = 3.084908260028776E-003 P04 = 7.072537638877364E-008
= 4.619078712912957E-003 p = 6.153121215491290E-003 Charge balance error. = 7.085377006196891E-007
PALISADES NUCLEAR PLANT, EA-FC-949-0i, REV. 3, SHEET B 89 AINMENT SuMP pH CONTROL .USING PURE TRISODIUM PHOSPHATE, DODECAHYDRATE ption 1 = 1 * (pK values are calculated) Option 2 = o (qtiantity of TSP is calculated) Option 3 = O (input quantity is in PPM) Temperature, *deg F = 180.000000000000000 A (constant of activity) = 5.7~9999833106995E-OOi B (6onstant of activity) * = 3.431999981403351E~001 Solution ionic strength
- 2.~34314314~54963E-002
-------~--------------------------------------------
- Total initial mass of water, lb = 2437820.000000000000000 Total final mass of water, lb
- 2442035.542337566000000 Density of water, lb/cuft = 60,569999694824220 pK (water) = 12.556297435655330 pK (OH) = 4.873898972200007 Log. (gamma OH) = -8.239846345532804E-002 Equilibrium pH = 1.6ooaooooboooooo Log (gamma H) = -6.497459196571016E-002 Total mass of Boron, lb = 3500.709520000000000 PPM of Boron = 1436.000000000000000 MW of Boron = 10.810000000000000 Log Ql,1 (Boric acid}. = 3.595829846133103 Log Q2,1 (Boric acid} -* 3.672769116099559 ~~- .\
LogQ3,1 (Boric acid} = 5.131562751601854 .. ' g Q4,2 (Boric acid} = 8.911380408079452 . 11 = 5.271459496351530E-002 . i 2i = 6.293179856738704E-002 RB31 = 1.809938338291557 RB42 = 1.457412411401640E-001 H3B03 = 1.131312893523908E-001 B(OH)4 = 5.963670095911534E-003 B2(0H)7 = 8.054444948234963E-004 B3(0H)10 = 2.620667903723893E-003 B4 (OH) 14* =
- 2.387335251132828E-005 CBEB = -9.450~69091702084E-003 Total mass of dodecahydrate TSP, lb = 7419.356677679269000 PPM of dodecahydrate TSP * = 3043.439088070189000 MW of dodecahydrat:e\*T$P*. = 380.160000000000000 Log (gamma H2P04~)[{~:. ~: ** * * = -8.043751111955476E-002 pKl (Phosphoric.ibid~ = 2.408564909255364 pK2 (Phosphoric. aedcH - - = 7.288807119913147 pK3 (Phosphoric cfi;:id)* = 12.359999656677250
*RPl . = 187013.346550227300000 RP2 = 3.568661975639855 RP3 = -4.387204705580378E-005 H3P04 = 9.075007686848077E-009 H2P04. = 1.697147557486497E-003 HP04 = 6.056545955452115E-003 P04 =
- 2.657130691532332E~007 A
EP.
= 7.753968301015451E-003
= 9.450868295448167E~003 Charge balance error
= 8.187401075153623E-007
PALISADES NUCLEAR PLANT, EA-FC-949~01, REV. 3, SHEET B 90 NTAINMENT SUMP pH CONTROL USING PURE TRISODIUM PHOSPHATE, DODECAHYDRATE
------~~----~-----------~----------------~--~----- .
ption 1 = 1 (pK values are calculated) * - Option 2 = O (qtiantity of TSP .is calculated) Option 3 = o (iriput quantity is in. PPM) Temperature, deg. F = 180.000000000000000 A (constant of activity) = 5.799999833106995E-001 B (constant of activity) = 3.431999981403351E-001 Solution ionic strength = 4.827068472101132E-002
-~----------------~---------------------------------
Total initial mass of water, lb = 2437820.000000000000000 Total final mass of water, lb = 2444610.548165514000000 Density of water, lb/cuft 60.~69999694824220 pK (water) = 12.556297435655330 pK (OH) = 4.655475899709724 Log (garmna OH) = -1.008215359456113E-001 Equilibrium pH = 7.800000000000000 Log ( garmna H) * = -7.591285975734335E-002
.-------------------~--------------------------------
Total mass of Boron, lb =. 3500.709520000000000 PPM of Borah = 1436.000000000000000 \
- -.=
MW of Boron = 10.810000000000000 ., Log Ql~l (Boric acid} = 3.599252812854535 ..***,
~* ',
Log Q2,1 (Boric acid} - 3~672769116099559 .. Log Q3,l (Boric acid} = 5.131562751601854 g Q4,2 (Boric acid} = 8.911380408079452 11 - 8.785710996009785E-002 21 = 1.040622510913811E-001 RB31. = 2.992863101116251 RB42 = 3.985002596090882E-001 H3B03 = 1.059872113366554E-001 B(OH)4 = 9.311730080768660E-003
. B2 (OH) 7 = l.168961337057758E-003 B3(0H)10 = 3.563257830672436E-003 B4 (OH) 14. = s.028546499345188E~oo5 CBEB = -1.416S60801165599E-002 Total mass*of dodecahydrate TSP, lb.= 11951.366271340130000 PPM of dod~cahydrate TSP. = 4902.481016375340000 MW of d,odecahydrate TSP*. - 380 .160000000000000 Log *(garmna H2P04}~:~' -. ** . = -9. 790121429696369E-002 pKl (Phosphoric acid) = 2.408564909255364 pK2 (Phosphoric acid} = 7.288807119913147 pK3 (Phosphoric acid} = 12.359999656677250 RPl = 308557.640616611100000 RP2 = 6.381114286807803 RP3 = 8.501712506684241E-005
.H3P04 = 5.478066277i53776E-~09 H2P04 = 1.690299205805126E-003 HP04 = 1.078599241114297E-002 P04 = 9.169940657881550E-007
. * = 1.247721408908016E-002 P * , * . : = 1.416660725695206E-002 Charge balance error = ~.962543712190395E-007
PALISADES NUCLEAR PLANT, EA-FC-949-01, REV. -3 I SHEET B 91 AI_NMENT SUMP _pH CONTROL USING PURE TRISODIUM PHOSPHATE, DODECAHYDRATE
-----------------------------------------~--------
tion 1 =1 (pK values are calculated) Option 2 = O (quantity of TSP is calculated) Option 3 =o (input quantity is in PPM)
--------------------~-------------------------------
Temperature, deg F = 180.000000000000000 A (constant of activity) = 5.799999833106995E-001 B (constant of activity) = 3.431999981403351E-001 Solution ionic strength = 7.48246l265179181E-002 Total initial mass of water, lb = 2437820.000000000000000 Total final mass of water, lb = 2448210.968596543000000 Density of water, lb/cuft 60.569999694824220 pK (water) = 12.556297435655330 pK (OH) = - 4.436881196087715 Log (gamma OH) = -1.194162395676189E-001 - Equilibrium pH = 8.000000000000000 Log (gamma H) - = -8.599522035914021E-002 Total mass of Boron, lb = 3500.709520000000000 PPM of Boron = 1436.000000000000000 MW of Boron = 10.8100000000000-00 Log Ql,1 (Boric acid) - 3.603869348766395 Log Q2,1 (Boric acid) = 3.672769116099559 Log Q3,1 (Boric acid) = 5.131562751601854 og Q4,2 (Boric acid) = 8.911380408079452 11 = 1.468886206666767E-001 21 = 1.721424263309858E-001 RB31 = 4.950870373255848 RB42 = 1.090480781185433 H3B03 = 9.694507313345831E-002 B(OH)4 = 1.424012807300379E-002 -
-B2(0H)7 = 1.~17854291344189E-003 B3(0H)10 = 4.510854130174293E-003 B4 (OH) 14 __ = 9.632100078716763E-005 CBEB = -2.059803578793331E-002 Total mass of dodecahydrate TSP, lb = 18288.107098047710000_
PPM of dodecahydrate TSP - = - _7501. 828313020529000 MW of dodecahydrate-. TSP = 380 .160000000000000 Log (gamma- H2P04):?-.*~ :<, = -l .153411517247633E-001 pKl (Phosphoric' acid) = 2.408564909255'364 pK2 (Phosphoric -acid) -= 7.288807119913147 pK3 (Phosphoric ~bidf = 12.359999656677250 RPl = -509068.520811516100000 RP2 = 11.408179220747390 RP3 = 1.647047415683798E-004 H3P04 - = 3.017724157116784E-009 H2P04 = 1.536228372880621E-003 HP04 = 1.752556860181927E-002 P04 = 2.886544247401552E-006 NA = 1.906468653667144E~002 -EP _ - - _- - _ - = 2 .-059803440075297E-002 ~;;~;-~;i;~~;-;;;~;-------------~--=--~~;~~~;~~~;;~2859E-007
PALISADES NUCLEAR PLAN'l', EA-FC-949-01, REV. 3, SHEET B 92 AINMENT SUM~ pH CONTROL USING PURE TRISODIUM PHOSPHATE, DODECAHYDRATE pticin 1 =1 (pK* values are calculated)
- option 2 =o (quantity of TSP is calculated) option 3 =o (input. quantity is in PPM).
Temperature, deg F = 200.000000000000000 A (constant of activity) = 5.874000191688538E-001 B (constant of activity) = 3.465999960899353E-001 Solution ionic strength = 5.039958954408037E-003
-----------------------------~--------------------~-
Total initial mass of water, *1b = 2437820.000000000000000 Total final mass of water, lb = 2438636.528150913000000 Density of water, lb/cuft = 60.090000152587890 pK (water) = 12.364415379836310 pK (OH) 5.326020866831406
- Log (gamma OH) = -3.839451300490371E-002
- Equilibrium pH 7.000000000000000 Log. (gamma H) = -3.414052165311327E-002 Total mass of Boron, lb = 3500.709520000000000 PPM of Boron = 1436.000000000000000 MW of.Boron = 10.810000000000000 Log Ql,l (Boric acid) - 3.414333163231971 ';t., Log Q2,1 (Boric acid) = 3.515653797917020 *~' \ Log Q3,1 (Boric acid) = 4.866672991342644 g Q4,2 (Boric acid) = 8.380631667713866 11 = 1.225497124041621E-002 B21 - . 1.547508100691425E-002 RB31 == 3.472578919531915E-001 RB42 = 5.352909907842290E-003 H3B03 = 1.238453568674657E-001 B(OH)4 = 1.517721286669873E-003 _B2(0H)7 = 2.373517231203374E-004 B3(0H)10 = 6.596161970247207E-004. B4(0H)l4 = 1.259240983197751E-006
.CBEB = ~2.421819913992191E-003 Total mass of dodecahydrate TSP, lb = 1437.089265707760000 PPM of dodecahydrate. TSP. _ = 589.497692900935900 MW of. dodecahydrC!,te* TSP* = 38.0 .1600.00000000000 Log (gamma* H2 P04:l~~~; '-::- * = -3.796447076533027E-002 pKl (Phosphoric.acid) = . ~.467726057435776 pK2 (Phosphoric acid) == 7.332228123826436 pK3 (Phosphoric acid)- 12.359999656677250 RPl = 37173.924566338940000*
RP2 = 6.04~745171983410E-001 RP3 = 6.758070175383873E-006
.H3P04* = 2.500939443415427E-008 H2P04 = 9.i96973421450679E-004 HP04 = 5.623502309705788E-604 P04 = 3.800402324042501E-009 NA = l.492076382912405E-003 p = 2.421819943444017E-003 harge balance error == 2.125970618818641E-007
PALISADES NUCLEAR PLANT, EA~FC-949-01, REV. 3, SHEET B 93 AINMENT SUMP pH CONTROL USING PURE TRISODIUM PHOSPHATE, DODECAHYDRATE
-----------------~--~-------~----------------------
Option 1 =1 (pK: values are calculated) Option 2 = o* (quantity of TSP is calculated) Option 3 =o (input quantity is in PPM) Temperature, deg F = 200.000000000000000 A (constant of activity) = 5.874000191688538E-001 B (constant of activity) = 3.465999960899353E-001 Solution ionic strength = 9.018859607457116E-003 Total initial mass of water, lb = 2437820.000000000000000
- Total final mass of water, lb = 2439226.365431025000000 Density of wat~r, lb/cuft 60.090000152587890 pK (water) 12.364415379836310 pK (OH) 5.114394082663183 Log (gamma OH) = -5.002129717312639E~002 Equilibrium pH = 7.200000000000000 Log (gamma H) = -4.303518007219261E-002 Total mass of Boron, lb = 3500.709520000000000 PPM of Boron = 1436;000000000000000 '---
MW of Boron = 10.810000000000000 Log Ql,l (Boric acid) = 3 .. 415099618190103 .. Log Q2,1 (Boric acid) = 3.515653797917020 -- og Q3,l (Boric acid) - 4.866672991342644 g Q4,2 (Boric acid) - = 8.380631667713866 11 = 1.998506363865333E-002 RB21 = 2.519182990312823E-002 RB31 = 5.652999000583618E-001 RB42 = *1~418546257753672E-002 H3B03 = l.2155828-07546195E-001 B(OH)4 = 2.429349976686358E-003 B2(0H)7 = 3.722449488774431E-004 B3(0H)l0 = 1.015389237532946E-003 B4_ (OH) 14* = 3.097288775210661E~006 CBEB = -3.830793400763078E-003 . *----------~--------~-------------~---~~-----~--~---- Total mass of dodecahydrate TSP, lb = 2475~202701784865000 PPM of dodecahydrate* TSP . - -
- - = 1015.334479897968000 MW of dodecahydra:te::.,_TSP** -- .. . , -
= 380.160000000000000 Log (gamma H2-P04-)tf ~ - -__ , - = -4.929383212330711E-002 pKl (Phosphoric acid): = 2.467726057435776 pK2 - {Phosphoric )icid) acid)- - -
= 7.332228123826436 pK3 (Phosphoric = 12.359999656677250 RPl = 60473.871768241460000 RP2 = 1.036700654082002 RP3 = l.220308127973773E-005 H3P04 = 2.085988208611355E-008 H2P04 = 1.261477834376268E-003 HP04 = 1.307774896007824E-003 P04 = l.595888335158404E-008
= 2.569289549149530E-003 EP = 3.830793144406618E-003 Charge balance error = 8.921432370224137E-007
-~---------------------------------~----------------
PALISADES NUCLEAR PLANT, EA-FC-949-01, REV. 3, SHEET B 94 AINMENT SUMP pH CONTROL USING PURE TRISODIUM PHOSPHATE, DODECAHYDRATE ption 1 =1 (pK.values are calculated) Option2 = O (quantity of TSP is calculated) Option 3 =O (input quantity is in PPM)
----------------~-----------------------------------
. Temperature, deg F = 200.000000000000000 A (constant of activity) = 5.874000191688538E-001 B (constant of activity) = 3.465999960899353E-001 Solution ionic strength = 1.616843440038042E-002
---------------------------~--~-----------------~---
Total initial mass of water, lb = 2437820.000000000000000 Total final mass of water,* lb . = 2440248.288058840000000 Density of water, lb/cuft = 60.090000152~87890 pK (water) = 12.364415379836310 pK (OH) = 4.899705985540668 Log (gamma OH) = -6.470939429564153E-002 Equilibrium pH = 7.400000000000000 Log (gamma H) = -5.347872442471543E-002 Total mass of Boron, lb = 3500.709520000000000 PPM of Boroff = 1436.000000000000000 *..! ~ MW of Boron - = 10~810000000000000
*"_\
Log Ql,1 (Boric acid) = 3.416449178640148 ' ; Log Q2,1 (Boric acid) = 3.515653797917020_ -: '. Log Q3, 1. (Boric acid} = 4.866672991342644 g Q4, 2. (Boric acid} = 8.380631667713866 11 = 3.286572318964557E-002 21 = 4.129978705226190E-002 RB31 = 9.267594129863572E-001 RB42. = 3.812586420011350E-002 H3B03 = 1.180950714811636E-001 B(OH)4 = 3.881279929361331E-003 .-.: B2(0H)7 *= 5.759852461421188E~004 B3(0H)10 = 1.526378801619069E-003 B4(0H)14 = 7.415608440814600E-006 CBEB = -6.011027946256299E-003 Total mass of dodecahydrate TSP, lb - 4273.788591627649000 PPM of dodecahyd~ate TSP * = 1753.119012735825000 MW of
- dodecahydrate ._TSP_ ** ~- *.:* -- 380.160000000000000
. Log (gamma* H2P04)~':::.;,,< -: * = -6.349716090155877E-002 pKl (Phosphoric* cfoid)* *- .,, * = 2.467726057435776 pK2 (Phosphoric aqid) = 7.332228123826436 pK3 (Phosphoric acid).._ = 12. 359999656677250 RPl = 99030.98~079831740000 RP2 = 1.812438833639272 RP3 = _ 2.277645593372959E-005 H3P04. = 1.592103441169570E-008 H2P04- = 1.576675737201159E-003 HP04 = 2.857628334160208E-003 P04 = 6.508664582797708E-008 NA = 4.434385079041607E-003 EP = 6.011027571665763E-003 harge balance error = 6.727546059638391E-007
PALISADES NUCLEAR PLANT, EA-FC-949-01, REV. 3, SHEET B 95 NTAINMENT SUMP pH CONTROL USING PURE TRISODIUM PHOSPHATE, DODECAHYDRATE
--------------~------------------------------------
Option 1 =1 (pK values are calculated) Option 2 = O (quantity.of TSP is calculated)
- Option 3 = o* (input quantity is in PPM)
Temperature, deg*F = 200.000000000000000 A (constant of activity) = 5.874000191688538E-001 B (constant of activity) = 3.465999960899353E-001 Solution ionic strength = 2.829750987383127E-002 Total initial mass of water, lb = 2437820.000000000000000 Total final mass of water, lb = 2441938.079118993000000 Density of water, lb/cuft = 60.090000152587890 pK (water) = 12.364415379836310 pK (OH) = 4.682350419524900 Log (gamma OH) = -8.206496031141022E-002 Equilibrium pH = 7.600000000000000 Log (gamma H) = -6.480550927189833E-002
----------------------------------~-----------------
Total mass of Boron, lb = 3500.709520000000000 PPM of Boron = 1436.000000000000000 MW of Boron = 10.810000000000000 -~ ~ Log Ql,1 (J3oric acid) = 3.418677614362193 Log Q2,1 (Boric acid) = 3.515653797917020. ~* Log Q3,1 (Boric acid) = 4.866672991342644 og Q4,2 (Boric acid) = 8.380631667713866 11 = 5.4491303241$8106E-002 21 = 6.812450793748470E-002 RB31 -* 1.528701077955558 RB42 = 1.037363178831133E-001 H3B03 = 1.130526818681959E-001 B(OH)4 =* 6.160387969987774E-003 B2(0H)7 = 8.706931282797522E-004
- B3 (OH) 10 = 2.208844685469214E-003 B4 (OH) 14. = 1.694549679662558E-005 CBEB = -9.294567809296370E-003 Total mass of dodecahydrateTSP, lb = 7247.821582115072000 PPM of dodecahydrate. TSP ... - ,_ - 2973.074953079010000 MW* of dodecahydrate: TSP"* *= 380.160000000000000 Log (gamma H2P04)fi~~*. ** = -8.012501062960727E-002 pKl (Phosphoric.acid) = 2.467726057435776 pK2 (Phosphoric acid) = 7.332228123826436 pK3 (Phosphoric ~~id) = 12.359999656677250 RPl = 163079.343021914600000 RP2 - *3. 222158561101225 RP3 - 4~371448803338674E-005 H3P04 = 1.0913S6609787905E-008 H2P04 = 1.779826113071261E-003 HP04 = 5.734881947504081E-003 P04. = 2.506974282670528E-007 A = 7.5i4969671869706E-003 EP . . .
= 9.294566915244894E-003
= 9.150898751228198E~007 Charge balance error
.-----------------------------~--------~-------------
PALISADES NUCLEAR PLANT, EA-FC-949-01, REV. 3, . SHEET B 96 NTAINMENT SUMP pH.CONTROL USING PURE TRISOPIUM PHOSPHATE, DODECAHYDRATE ption 1 = 1 * (pK values are calculated) Option* 2 = O (quantity of TSP is calculated) Option 3 = O (input quantity is in PPM)
.-------------------------------~--------------------
Temperature, deg. F = 200.000000000000000 A (constant of activity) = S.874000191688538E-001 B (const*ant of activity) = 3.465999960899353E~oo1 Solution ionic strength = 4.720213938533810E-002 Total initial mass of water, lb = 2437820.000000000000000 Total final mass of water, lb = 2444535.766926888000000 Density of water, lb/cuft = 60.090000152587890. pK (water) = 12.364415379836310 pK (OH) = 4.463415848562277 Log (gamma OH) = -l.009995312740330E-001 Equilibrium pH = 7.800000000000000 Log ( gatnrna H) = -7.606671632233111E-002 Total mass of Boron, lb = 3500.709520000000bOO PPM of Boron = 1436.000000000000000 MW of Boron = 10.810000000000000 Log Ql,1 (Boric acid) 3.422034158831747 Log Q2,1 (Boric acid) - . 3.515653797917020 *.* Log Q3,1 (Boric acid) = 4.866672991342644
*Og Q4, 2 (Boric acid) . - 8.380631667713866 11 = 9.091139256621854E-002 21 = 1.1278152i5344763E-001 RB31 = 2.530796019861682 RB42 = 2.843151293733807E-001 H3B03 = l.061112242372293E-001 B(OH)4 = 9.646719162312795E-003 B2 (OH) 7 . = 1.269873907368233E-003 B3(0H)l0 = 3.023716837097723E-003 B4(0H)14 = 3.604502002952907E-005 CBEB = -1.404678310045575E-002 Total mass of dodecahydrate' TSP, lb = 11819.751627978600000 *PPM of dodecahydrate TSP = 484a.492352995136000 MW of dodecahydrate:TSP* = 380.160000000QOOOOO Log (gamma H2P04).j ~:-
0
= -9.807705250173565E-002 pKl (Phosphoric acid) = 2.467726057435776 pK2 (Phosphoric *acid) = 7.3322~8123826436
- pK3 (Phosphoric acid) = 12.359999656677250 RPl = 269371.097087331800000 RP2 = 5.781000855961738 RP3 = 8.5189409095499i4E~oo5 H3P04 = 6.701773843902470E-Ob9 H2P04 = l.805264172763193E-003 HP04. = 1.043623372798107E-002 P04 = 8.890565844692258E-007 NA . = l.224239365910258E~002. EP = 1.404678217882899E-002 arge balance error = 5.924147415582655E-007
PALISADES NUCLEAR PLANT, EA-FC-949-01, REV. 3, SHEET B 97 NTAINMENT SUMP pH CONTROL USING PURE TRISODIUM PHOSPHATE, DODECAHYDRATE
~i~~-~-:-~~-(p~-~~1~~~--~~~~~~1~~1~~~a,-------------
. Option 2 =O (quantity of TSP is calculated) Option 3 =O (input quantity is in PPM) *
. --~--------------~----------------------------------
Temperature, deg F = 200.000000000000000 A (constant of activity) = 5.874000191688538E-001 B (constant of activity) = 3.465999960899353E-001 Solution ionic strength = 7 .41679264741168.7E-002 Total init'ial mass of water, lb = 2437820.000000000000000 Total final mass*of water, lb = 2448225.085003947000000 Density of water, lb/cuft = 60.090000152587890 pK (water) = 12.364415379836310 pK (OH) = 4.244169951655318 Log (gamma OH) = -1~202454281809911E-001 Equilibrium pH = B.000000000000000 Log (gamma H) = -8.649289944398671E-002 Total mass of Boron, lb = 3500.109520000000000 PPM of Boron = 1436.000000000000000 MW of Boron - 10.810000000000000 Log Ql,l (Boric acid) * = 3.426629956419040 ' Log Q2,1 (Boric acid) = 3.515653797917020 , ;._ \ Log Q3,l (Boric *acid) = 4.866672991342644 cg Q4,2 (Boric acid) = 8.380631667713866 11 = .1.522158947101834E-001 21 = l.868460177919972E-001 RB31 = 4.192789312657392 RB42 = 7.803541860550299E-001 H3B03 = 9.717816271919302E-002 B(OH)4 - l.479206098459376E-002 B2 (OH) 7 . = i.764498177215140E-003 B3(0H)10 = 3.847769886048106E-003 B4(0H)l4 = 6.959315088893529E-005 CBEB - -2.060049726535651E-002 Total mass ofdodecahydrateTSP, lb -* 18312.952629487480000 PPM of dodecahydrate TSP = 7512.020013572568000 MW of dodecahydrate TSP* * = 380.160000000000000 Log (gamma H2 P04 )-:~-- *:... * * .. *_ = -1.161257645184132E-001 pKl (Phosphoric *a:g-id} _ = 2.467726057435776 pK2 (Phosphoric ~cid) . * - 7.332228123826436 pK3 (Phosphoric: a(: id) .. = 12.359999656677250 RPl . = 445040.676484117400000 RP2 10.378848431304120 RP3 = 1.661992906735284E-004
- H3P04 = 3~739361717758217E-009 H2P04. = l.664168068489928E-003
.HP04 - = 1.727214814707309E-002 P04 = 2.870618770451646E-006 NA = 1.893919057369519E-002 EP = 2.060049550213810E-002 arge balance error* = 7 .. 676538779324646E~007
PALISADES NUCLEAR PLANT, EA-FC-949-Ql, REV. 3, SHEET B 98 NTAINMENT SUMP pH CONTROL USING PURE TRISODIUM PHOSPHATE, DODECAHYDRATE p~i~~-~-=-~--~~;~~;i~;~-;~;-~;i~~i;~;~~----~-'.'"----- .. - Option* 2 =O (quantity of TSP is calculated) Option 3 =o (input quantity is in PPM) Temperature, deg F. = 220.000000000000000 A (constant of activity) = 6.086000204086304E-001 B (constant of activity) = 3.488000035285950E-001 Solution io~ic strength = 4.728843533685279E-003 Total initial mass* of water, lb - 2437840.000000000000000 Total final mass of water, lb = 2438598.363472045000000 Density of water, lb/cuft = 59.610000610351560 pK (water) * = 12.19498172E027960 pK (OH) = 5.156371700863376 Log .(gamma OH). = -3.861002516458528E-002 Equilibrium pH = 7.000000000000000 Log (gamma H) = -3.442084688002382E-002 Total mass of Bo:i;on, lb = 3500.709520000000000 PPM of Boron . - 1436.000000000000000 MW of Boron = 10.810000000000000 ~ Log Ql,l (Boric* acid} = 3~250580864651507 *--:\. Log Q2,l (Boric acid}. = 3.370046182103526 :.~~ \ LogQ3,l (Boric acid} = *4.617952654293429 og Q4,2 (Boric acid} = 7.897434827316323 11 = 1~242250453001068E-002 21 = l.635590130407951E-002 RB31 = 2.894549317030085E-001 RB42 = 3.843186193945455E-003. H3B03 = 1.231512023548240E-001 B(OH)4 = l.52~84~369129062E-003 B2(0H)7 = 2.480571752554640E-004 B3(0H)l0 = 5.406259928480426E-004 B4(0H}l4 = 8.839873512717074E~007 CBEB = -2.327165614310062E-003 Total mass of dodecahy'drate TSP, lb = . 1369. 91943826177600.0 _ PPM of dodecahyd:rate T$P. *:. = 561. 944457860619700 MW of dodecahydra,t;e:c TSP* = 380 .160000000000000 Log (gamma H2P04{i:~-. -, = '.'"3. 818751611255208E-002 pKl (Phosphoric acid}- . . ,. = 2. 529814441505644 pK2 (Phosphoric a,'cidk .- 7.382039228957843 pK3 (Phosphciric acidt = 12.359999656677250 RPl = 32238.369942480400000 RP2 = 5.401611178595914E-001
- RP3 = 6.775446554806439E-006 H3P04 = 2.841692286233374E-908 H2P04 = 9.161152718628441E-004 HP04 = 4.948498493376773E-004 P04 = 3.352828706841451E~009 NA . = l.410996890952091E-003 -EP * . = . 2 .327165643831953E-003 ~~~;-~;i;~~;-;;;~;-----~----------:- 7 ;~;;~~~~;;~~~1514E-007
PALISADES.NUCLEAR PLANT, EA-FC-949-01, REV. 3, SHEET B 99 AINMENT SUMJ;> pH CONTROL USING PURE TRISODIUM PHOSPHATE, DODECAHYDRATE
--~~-------~------~-------------------------------
. tion i = 1 .* (pk.. values are* calculated)
Option._2 =* 0 (quantity of TSP is calculated) Option_ 3 = O (input quantity is iri PPM)
. --------~-------~~~-------------~-------------------
( *-. Temperature, deg F *. . . = 220.000000000000000 A (constant of activity) 6~086000204086304E-001 B (constant of activity) = 3.488000035285~50E-001 Solution ionic strength = 8.465257958243617E-003
----------------~----------------------------~------
Total initia.l mass. of water, lb = 2437820.000000000000000 Total final mass of water, lb = 2439161.485349043000000 Density of water, lb/cuft . 59.610000610351560 pK (water) = 12.194981726027960 pK (OH) = 4.944640758916351 Log (gamma OH) = -5.034096711161087E-002 Equilibrium pH = 7. 20000000000000.b Log (gamma H) * = -4.344673491430425E-002 Tota~ mass of Boron, lb = 3500.709520000000000 PPM of Boron = 1436.000000000000000* MW of Boron -* 10.810000000000000 Log Ql,1 (Boric acid) - 3.251288243830177 -9 Log Q2,1 (Boric acid) Log Q3,1 (Boric acid) RB31 11 Q4;2 21 (Boric acid). - .
=
=
=
=
=
3.370046182103526 4.61795265429342~
- 7. 897434827316323 2.026037525393163E-002 2.~63210063268921E~002 4.713156876178975E-001
- .~.*
~.
\
RB42 = 1.018951022570098E-002 H3B03 = l.210258452753444E-001 B(OH)4 = 2.452029040702746E-003 B2(0H)7 = 3.900871751345393E-004 B3(0H)10 = 8~354996436878421E-004 B4(0H)1'4 = 2.186078775216363E-006 i CBEB . . . . - -3.693277783388357E-003 I I
- I
----------------------~---------~------~------------
Total mass of" dodecahydrate TSP,
- lh = *
- 2361. 0136.92294458000
*PPM of dodecahydrate TSP_* - .. = 968. 49385610687.3500 MW .of. dodecahydrat&, TSP.1;,--~~ .* .* = 380 .160000000000000 Log (gamma H2P04;)~\{~3~. :**<:: . . " .. :: -4. 962509177559019E-002 pKl .. (Phcisphoric_"~~idl~-: ':: * = 2. 529814441505644 pK2 (Phosphoric a.Ciat::* . = 7. 382039228957843 pK3 lPhosphori~~~cfd~~: - 12.359999656677250 RPl - ;* :- - "' = 52457. 869728963290000
- RP2 = 9.264799952289642E~oo1 RP3 = l.224970985555637E-005.
H3P04 = 2~405732021259306E-008 H2P04 = l.261995769740162E-003 -p* *.* . * * .* . HP04 P04 NA . . * . . '~~;-b~i~~~;-~~~;~-----~----------=--~~~~~~~~G;;GGllSlE-007
=
=
=
l.169213834727839E-003 i.432253023451845E-008 2 .431247984318448E-003
- 3. 693277546168801E-003.
PALISADES NUCLEAR PLANT, EA-FC~949~0l, REV. 3, SHEET BlOO NTAINMENT SUMP pH CONTROL USING_PURE TRISODIUM PHOSPHATE, OODECAHYDRATE _ ~ti~~-~-=-~~-{~~-~~1~~~-~~~-~~1~~1~~~a)--~--------- -_ * - Option- 2 = O
- _(quap.tity. of TSP is calculated)
Option 3 =O (input quantity is in PPM) Temperature, deg F * = _~220.000000000000000 A (constant of activity) = 6.086000204086304E-001 B (constant of activity) = 3.488000035285950E-001 Solution ionic strength = 1.526547136943215E-002
----~-~-------------------~-------------------------
Total initial mass of water, *1b = 2437820.000000000000000 Total final mass of water, lb. = 2440147.683867482000000 __ ,~ ' Den.sity of water, lb/ cuft _ 59. 610000610351560, pK (water) 12.194981726027960 pK (OH) = 4.729642447098629 Log (gamma OH) = -6.533927892933152E-002 Equilibrium pH = 7.400000000000000 Log (gamma H) = -5.418033211211334E-002 Total- mass of Boron, lb = 3500.709520000000000 PPM of Boron = 1436.000000000000000
~
MW of Boron = 10.810000000000000 Log Ql,1 (Boric *acid) = 3.252549984177903 Log Q2,1 (Boric acid) = 3.370046182103526 Log Q3,1 (Boric acid) = 4.617952654293429 og Q4,2 (Boric acid) -= 7.897434827316323 11 -- 3.333554325882104E-002. ~-1
- I 21 - 4.369210209695808E~oo2 - I RB31 - 7.73232691351~470E-001 RB42 = 2.742520819298933E-002 ' I H3B03 = 1.1777342i9034325E-001 B(OH)4 = 3.926041000601255E-003
-B2 (OH) 7 = 6.060358593880500E-004 B3 (OH) 10. =- 1.263141744915393E-003 B4(0H)14 - 5.276416961226521E-006' CBEB = -5.824362546601225E-003 ----~-~-~---------~----~-----~~--~-~-----------~---- --
Total mass of .dodecahydrate TSP; _lb - 409~.7~53028809750-00 PPM of dodecahydrate: TSP.. : . - = 1680.487198759947000 MW of dodecahydrci1;:e -TSP-*;-~c- .~ '~ : : - 380.160000000000000 Log (gamma- H2 l?04:)i~£,~; 0
= -6.~13837894539497E-002 pKl (Phosphoric ~_pidf * - - = 2.529814441505644 pK2 ( Phosphoric-*.acidT _. ---- = 7.382039228957843 pK3 (Phosphoric:* acid)>- - - = 12*. 359999656677250 RPl ' -
= - 85965.449314311350000 RP2 - - 1.623214478807772 RP3
.H3P04 .
= 2.294522063190254E-005
= 1.869933702255640E~-008 -
H2P04 HP04*
-- 1.607496909023798E-003 -
= 2.609312257366169E-003 P04 = S.987124544279441E-008 NA = 4.216887736972432E-003 EP = S.824362173424831E-003
-------------------------------------------------- 6.762851661074546E~007 harge balance error.
. - - - . - =
-----------------~-----------~----------------------
PALISADES NUCLEAR PLANT, EA-FC-949-01, REV. 3, SHEET BlOl NTAINMENT SUMP pH CONTROL USING PURE TRISODIUM PHOSPHATE, DODECAHYDRATE
--------~---~-----~-----------------------~------- "
ption 1 = 1 (pK values are calculated) - Option- 2 = O (quantity of TSP is. calculated) Option 3 = O (input quantity is in PPM)
----------------------------------------~-----------
Temperature, deg F * = 220.000000000000000 A (constant of activity) = 6.0860002040863d4E-001 B (constant of activity) = 3.488000035285950E-001 Solution ionic strength 2*.703329896979052E-002 Total initial mass of water, lb = 2437820.000000000000000 Total final mass of water, lb* - 2441807.001666175000000 Density of water, lb/cUft = 59.610000610351560 pK (water)* 12.194981726027960 pK (OH) = 4.511644474500856 Log (gamma OH) = -8.333725152710610E-002 Equilibrium pH = 7.600000000000000 Log (gamma H) = .-6.599968174172847E-002
--------~-------------------------------------------
Total mass *of Boron, lb = l500.709520000000000 PPM of Boron = 1436.000000000000000 MW of .Boron = 10.810000000000000 Log Ql,1 (Boric acid) -* 3.a54674834290261 Log Q2,1 (Boric acid) = 3.370046182103526 *__ ;J.. \ Log Q3,1 (Boric acid) = 4.617952654293429 g Q4,2 (Boric acid) - " 7.897434827316323 11 = 5.533887930699415E-062 21 = 7.217747876097348E-002 RB31 = 1.277344904254342 RB42 *" - 7.484206507874700E-002 H3B03 = 1.129685942080749E-OOi B(OH)4 = 6.251555400361455E-003 B2(0H)7 = 9.211220027504331E~004 B3(0H)l0 = 1.841540832676845E-003 B4 (OH) 14. = 1.218924414528922E-005 CBEB = -9.069353642815484E-00~ Total mass of.dodecahydrate TSP, lb 7017.123796033407000. PPM of dodecahyd~ate TSP = 2878.442131098033000 MW of dodecahydrate:. TSP = 380 .1600000000.00000 Log (gamma H2P04'}F:.---. **. = -8 .139348831963651E-002. pKl (Phosphoric acid);-- = 2. 529814441505644 pK2 (Phosphoric .acid)-' = 7. 382039228957843 pK3 (Phosphoric ~bid), = 12.359999656677250 RPl. = 141768.272325133500000 RP2 - 2.898285979984321 RP3 = 4.435757391672419E-005 H3P04 = l.306024306123614E-008 H2P04 = 1.851528094937760E-003 HP04 5.366257919105187E-003 P04 = 2.380341823029149E-007
. NA . = 7. 21803 7108468311E-:003 ~~~ -;;1~~~ -~;;~;- --------~ --~ ---:--~**~ ~~~~~~~~~~~:::::~::: -~--------------------------------------------------
PALISADES NUCLEAR PLANT, EA-FC-949-01, REV. 3, SHEET B102
~AINMENT SUMP pH CONTROL USING PURE TRISODIUM PHOSPHATE, DODECAHYDRATE ~~~ib~-i-:-i--,~~:~~1~~~-~~~-~~1~~1;~~a)-:---------~-
Option 2 =O (quantity of TSP is calculated) Option 3 = o* (input quantity is in PPM)
----------------------------~-----------------------
Temperature, deg F 220.oooooooooooonoo A- (constant of activity) = 6.086000204086304E-001 B* (constant of activity) = 3.488000035285950E-001
- Solution ionic strength = 4.577640396669535E-002
--------~----------------~---------------~----------
Total initial mass of water; lb. = 2437820.000000000000000
. Total final mass of water, lb = 2444408 .413507497000000 .
Density of water, lb/cuft = 59.610000610351560 pK (water) * = 12.194981726027960 pK (OH) = .. 4. 291736386996811 Log (gamma OH} = -1.032453390311511E-001 Equilibrium pH = 7.800000000000000 Log (gamma H) = -7.789484709379671E-002 Total mass of Boron, lb = . 3500.709520000000000 PPM of.Boron = :1436.000000000000000
.MW* of Boron = 10.810000000000000 Log Ql,1 (Boric acid) = 3.25794298i270455 Log Q2, 1* (Boric acid} = 3.3700461821035~6 Log*Q3,1 (Boric acid} = 4.6i7952654293429 og Q4,2 (Boric acid} - .. 7.897434827316323
- 11. = 9.251381583291647E-002 21 = 1.197594506291893E~001 RB31 = 2.119416286402731 RB42 = 2.060449872662559E-001
- H3B03. . - 1.062397470067433E-001 B(OH}4 = 9.828644388717491E-003 B2(0H)7 = 1.351711008479718E-003 B3(0H}10 = 2*.541425310135144E-003
* . B4 (OH} 14. = 2.624884295971314E-005 CBEB = -1.382534092740132E-002
--------------------------------------------------~-
Total mass of dodecahydrate TSP,, lb = 11595.610285978320000 PPM of dodecahydrate *TSP, ..,.*: * = 4756. 549001147879000
- MW of dodecahydra.te *:.TsP::.. . = 380 .16000QOOOOOOOOO
- 0
*.. Log* (gamma. H2P04~)~-~*;,~j . -~* -1. 002785078143573E-001 pKl (Phosphoric ~:~#ar. * * * ** = 2. 529814441505644 pK2 (J;>hosphoric' a~idJ. = 7. 382039228957843 pK3 (Phosphori_c* acidf~~'- '.., = 12. 359999656677250 RPl . *- = 234673.508489627400000
- RP2 = .5. 233548997660225
- RP3 - 8.737614550183543E-005 H3P04 = 8.144408505027607E-009 H2PO~ = 1~911276918447590E-003
=
. fl ** . * . *.
*HP04. 1.000276140079251E-002 P04 = 8.740027355757892E-007
= 1.191492046638418E-002 EP * . . = 1.382533967091320E-002
. ----------------~----------------------------------
Charge balance error = 7.819409363034017E-007
PALISADES NUCLEAR PLANT, EA..:.FC-949-01, REV. 3, SHEET B103 AINMENT SUMP pH CONTROL USING PURE TRISODIUM PHOSPHATE, DODECAHYDRATE ption 1 = 1 * (pK values are calculated) Optiori: 2 = o* (@antity of TSP is calculated) Option 3 = O .. (input quantity is in PPM) Temperature, deg F.
= 220.000000000000000 A (constant of activity) = 6.086000204086304E-001 B (constant of activity) = 3.488000035285950E-001 Solution ionic strength = 7.2992481S1928816E-002 Total initial mass of water, lb = 2437820.DOOOOOOOOOOOOOO Total final mass of water, lb = 2448165.049388433000000 Density of water, lb/cuft = 59.610000610351560 pK (water) = 12.194981726027960 pK (OH) = 4~071336734301775 Log (gamma OH) = -1.236449917261866E-001 Equilibrium pH = 8.000000000000000 Log (gamma H) = -8.896937022500556E-002.
Total mass of Boron, lb - 3500.709520000000000
\.._
PPM of Boron - 1436.000000000000000 MW of Boron = 10.810000000000000 -~~
-0:.'.\
Log Ql,1 (Boric acid) = 3.262491626193402 *~~'.\_ Log Q2,1 (Boric acid) = 3.370046182103526 . ~~~-\ Log Q31l (Boric acid) = 4.617952654293429 :1 g Q4,2 (Boric acid). = 7.897434827316323 11 - ~.552940770262l73E-OOi. 21 = 1~989341981802633E..:.001 RB31 = ~.520593801412738 RB42 = 5.685404366471805E-001 H3B03 = 9.742793026416879E-002 B(OH)4 - 1.512998050695070E~oo2 B2(0H)7 = 1.888323513378093E-00~ B3(0H)l0 = 3.255864704816933E-003 B4 (OH) 14. --= 5.122656852621151E-005 CBEB * - .*
= --2.046146181968917E-002 ----~~----~--~-~----..:.-~~--~--------~----------------
Total mass of- dodecahydrate: TSP> lb ,;, .* ** 18207~289144016550000 PPM of dodecahyq-rate:~~sp~;:,,'.';::;,:_*- =* 7468.E76581542751000 MW of dode.cahydr~teJ::/I'SP.'~/* ... -- - 380.160000000000000 Log (gamma* H2P04'.i~~~:r:;E;.o..;:;.-_ -- = ~i.194139612137818E-001 pKl * ( Phosphoric)':~d_+/-~) :~ . *:*:*::- = 2.529814441505644 pK2 (Phosphoric~::~-~.dd*)~*-.*.** * * ** . - 7.382039228957843 pK3* (Phosphoric' aci-d)~~~:. *-~ ~~* - RPl . . . . . . .
= 12.359999656677250
= 388686.55628359.560000 RP2 = 9.466788067186965 RP3 - = i.726116680373274E-004 H3P04. =* 4.590870564764422E-009 H2P04 = 1.784409670162003E-003 HP04 - 1.689262817246268E-002 P04 = 2~915864726383133E-006
= 1.867995829822163E-002 p 2.046146128539839E-002 Charge balance error* 2.225389731605195E-007
PALISADES.NUCLEAR PLANT, EA-FC-949-01, REV. 3, SHEET Bl04 AINMENT.SUMP pH CONTROL USING PURE TRISODIUM PHOSPHATE, DODECAHYDRATE
. *i ption l = l (pK values are. calculated)
Option2 = 0 (q\iantity of TSP is calculated). option. 3 = o (iD:~-µtquantity is in' PPM)
----------------*~--------~--------------------------
Temperature, deg F*- = 283.000000000000000 A (constant of activity) = 6.086000204086304E-001 B (constant of activity) = j.488000035285950E-001 Solution ionic strength = 3.512396824744395E-003 Total initial mass of water, lb = 2437820.000000000000000 Total final mass of water, lb - 2438434.186668044000000
. Density of water,* lb/cuft = 57.835498046875000 pK *(water) = 11.787644504473990 pK (OH} . = 4.754009098829614 Log (gannna OH} = -3.363540564437614E-002 Equilibrium pH = 1.000000000000000 Log (gannna H) ~ -3.041110132248427E-002
-------------------------~--------------------------
Total mass of Boron, lb = 3500.709520000000000 PPM of Boron = - 1436.000000000000000 '
\:(,
- <~~*
MW of Boron * = 10.810000000000000 *:1 Log Ql,l (Boric acid} = 2.810441353814655 g~\ - ' Log Q2,l (Boric acid) = 2.975504790948024: \ Log Q3,l (Boric acid) - 3.925343274497784 og Q4,2 (Boric acid) = 6.638286887896628 11 = 1.138760134351363E-002
- 21 = 1.665312309030777E~OQ2 RB31 = 1.483659274239277E-001 RB42 .. = *1.349797720051140E-003 H3B03 = 1.204040606040129E-001 B(OH)4. = 1~371113442298754E-00~
B2(0H)7 = 2.414226204059991E-004 B3(0H)10 = 2.589748419353035E-004 B4(0H)14 * .. -* = 2.836829437473668E-007 CBEB. = -1.889590408438S28E~oo3
------------------------~---~------------------~----
Total mass:.of_dodecahydJ:'ate- TSP,: lb-.=_*_:'_. 1080**.968436622864000 PPM of dodecahydi,-ate*; TSP:,,*:. iL:. , = *, 443. 416017844986100 MW. of dodecahydJ;jJi:~i:':WS_~::;3~<!~~;.: *~ * . - 3 8 o . 16 ooooooooooooo Log (gannna H2P0.4f)l,f.~~~~~-J.*:-_--~-J*:-;:. * = -3. 331430443432973E-002 pKl (Phosphoric::'*a'C£0:)r: ... *. - - = 2. 741872444107198 pK2 (Phosphoric**:aeiCi).:'.",-._*.. * . 7. 574918853055846. pK3 (Phosphorfc:. acid);_;:*--*:_* : r*. = . 12. 35999965667.7250 RPl <--->: * *. - ... - = 19563. 288536395720000 . RP2 - 3.349839970139316E-001 RP3 .- 6.405777733137020E-006 H3P04 = . 4.136312935788773E-008 H2P.04 - . = 8. 091988343966185E.-004 HP04 .- 2.710686599251938E-004 P04 = l.736405585900097E~009-NA . . = l.080310593856756E-003
-~~;~ -b~l~~~~ -~~~~~ ------------ ~ ~ ~ ~;~~~~;;~~~:::::~:::
-c- - - - .
PALISADES NUCLEAR PLANT, EA-FC-949-01, REV. 3, SHEET B105
- AINMENT SUMP. pH CONTROL .
USING PURE TRISODIUM PHOSPH:ATE, DODECAHYDR:ATE
~--------------------------------------------------
ption 1. = 1 . (pK values are calculated). Option* 2 = O (quantity of TSP is calculated) Option 3 = O (ipput quantity is in PPM) Temperature, deg* F . = 283.000000000000000 A (constant of activity) = 6.086000204086304E~001 B (constant of activity) = 3.488000035285950E~001 Solution ionic strength. * = 6.186023362478622E-003 Total initial mass of water, lb = 2437820.000000000000000 Total final mass of water, lb = 243~866.035872179000000 Density of water, lb/cuft 57.835498046875000 pK (water) = 11.787644504473990 pK (OH) = 4.543970776979632 Log (gamma OH) = -4.367372749435791E~002 Equilibrium pH = . 7.200000000000000 Log (gamma H) = -3.838887518764891E-002. Total mass of Boron, lb = 3500.709520000000000 PPM of Boron = 1436.000000000000000 ..... -~~- MW of Boron = 10.810000000000000 *,.
*;.-i :
Log Ql,1 (Boric acid) = 2.810920863879647 ." *_-;:*~ Log Q2,1 (Boric acid) = 2.975504790948024 .*-:f \ Log Q3, 1 *(Boric acid) - 3.925343274497784: g Q4,2 (Boric acid), - . 6.638286887896628 11 = 1.849056096301900E~002 2i = 2.701058647106742E-002 *. RB31 = 2*.406425924021707E-001 RB42 = 3.55095635124i527E--003 . H3B03 = 1.18.839-4921784489E-001 B(OH)4 = 2.197408874939828E-003 B2(0H)7 = 3.814657832104605E-004 B3(0H)10 = 4.Q38823359866825E-004. B4 (OH) ;i.4 . = 7.082530985832311E-~07 CBEB
. - -3.012682401741708E-003 Total. mass- of~ dodecahydrate*, TSP lb:
I .. i::; 1841.022812277071000* PPM of dodecahydrate,.TSP/1-: :_--
- 755.192266975031400_
MW of dode.cahydr.at;e*"'*'.I'SP.~~: ::. ;~I-: 380.160000000000000 Log (gamma. H2P04'>!~~~}~ :*. - .:'*.~<:' - = -4.313390182997601E-002 pKl (Phosphoric*(~~i4:>> ;. _: *-.-- = 2.741872444107198 pK2 * <Phosphoric ':acid)'?~ * *:.- * * = 7;574918853055846 pK3 (Phosphoric :- acid:):'-::-~-~~:*,-_ . * :< 12.359999656677250 RPl. - **- -.- . RP2-
= -31114.76207981864dooo-
= 5-. 681759574111J,.29E-001 RP3 * .1.136762798410278E-005 H3P04 *. = 3.698717997072240E-008 H2P04* = 1.173039327342035E-003 -
HP04 = 6.664927428934488E-004 P04 =. 7.576441555316988E-009 A = 1.839576633848010E-003 EP = 3.012682359090432E-003 Charge balance error
= 2.202992870839333E-007
PALISADES NUCLEAR PLANT, EA-FC-949-01, REV. 3, SHEET B106 NrAINMENT SUMP pH CONTROL USING PURE TRISODIUM PHOSPHATE, DODECAHYDRATE
~~i~~-~-=-~~-,~~-~~i~~;-~i~-~~i~~i~~~d,------------ .
- Option* 2 ~ O (quantity of TSP is calculated) Option 3 = o (input quantity is in PPM) Temperature, deg F = 283.000000000000000 A (constant of activity) = 6. 086000204086304.E-001 B (constant of.activity} = 3.488000035285950E-001 Solution ionic strength 1.113910922528205E-002 Total initial *mass of water, lb = 2437820.000000000000000 Total final mass of water, lb = 2439632.057442011000000 ' ..- .- Den~ity of water, lb/cuft = 57.835498046875000 pK (water) = 11.787644504473990 pK (OH) = 4.330743146574019 Log (gamma OH) = -5.690135789997060E-002 Equilibrium pH* = 7.400000000000000 Log (gamma H) = -4.824758628118109E-002 Total.mass.of Boron, lb = 3500.709520000000000 PPM of Boron = 1436.000000000000000 MW of Boron = 10.810000000000000 Log Ql,1 (Boric acid) = 2.811793377149437 Log Q2,1 (Boric acid) = 2.975504790948024 *-:; Log Q3,1 (Boric acid) = 3.925343274497784 og Q4,2 (Boric acid) = 6.638286887896628 11 =
- 3.627263541~82309E-002 21 = 4.413281649218000E-002 RB31 3.931878851302770E-001 RB42. = 9.479830992340437E-003 H3B03 1.163897431909893E-001 B(OH)4 = 3.523424261878486E-003 B2 (OH) 7. = 5.97848l902994486E-004 B3(0H)10 = 6.199322899828074E-004 B4{0H)14 = 1~739640198451878E-006 CBEB
. . .. .* . . . . = --4.791333279759988E-003 Total mass of dodecahydr~te TSP,,lb = 3189.229008684712000 PPM of dodecahyd:r;ate, TSP ** * * = 1308. 229897484110000-MW of dodecahydrC\t:e~>.TSlt:. ~- *: . ='* * . 380 .160000000000000 Log (gamma. H2P04'.,~J1{'}~!.; .-~:. *. ... = ~5 .598843214568022E-002.
- pKl {Phosphoric .;aeidf;;.:___ .**. - 2. 741872444107198 pK2 (Phosphoric*:.-acid)\ * - 7 .574918853055846 pK3 {Phosphoric 'ahfC3:)'>, ,, * * = 12. 359999656677450 RPl *. .. ..- = 51774.508887383170000 RP2. = 9.841163413754346E-001 RP3 " = 2.089019548679701E-005 H3P04 - 3.101102956b74812E-00$
H2P04 = 1.605580825599874E-003 HP04 = 1.580078327871898E-003 P04 = 3.3008i4515369528E-008 NA . . = . 3 .185723172646487E-:-003
-EP * . . . . .. . . = 4. 791333012160330E-003 ~~~~~-~~l~~~~-~~~~~~---"------------=--6~~~~6;;;~~~~6937E-007
PALISADES* NUCLEAR PLANT, EA-FC-949-01, REV. 3,. SHEET B107 ~~=~~~-:~:-~~-~~~~~~-~:=~~-:~~-~=:~~=~-:~~~PHATE, DODECAHYDRATE ~tion 1 = 1 (pK values are calculated) Option 2 = O (quantity of TSP is calculated) _Option 3 = o (input quantity is*in PPM)
~---------------~-----------------------------------
Temperature, deg F = 283.000000000000000 A (constant of.activity) = 6.086000204086304E-001 B (constant of activity) = 3~488000035285950E-001 Solution ionic strength = 2.017460561563909E~002 Total initial mass of water, lb = 2437820~000000000000000 Total final mass of water, lb = 2440977.491528213000000 Density of water, lb/cuft = 57.835498046875000 pK (water) = 11.787644504473990 PK (OH) . = 4.113974837403752 Log (gamma OH) = -7.366966707023807E-002.
*Equilibrium pH = 7.600000000000000 Log (gamma H) = -5.978622773745641E-002 Total mass of Boron, lb = 3500.709520000000000 PPM of Boron = 1436.000000000000000 MW of Boron = 10.810000000000000 --
Log Ql,1 (Boric acid). = 2.813345555569590 Log Q2,1 (Boric acid)_ = 2~975504790948024
.*:. \
Log Q3,1 (Boric acid) = 3.925343274497784 og Q4,2 (Boric acid) = 6.638286887896628 11 = 5.004615517445530E-002 21* = 7.269925385853589E-002 RB31* = 6.476918571524163E-001 RB42 = 2.572392372025140E-002 H3B03 = 1.126334681530276E-001 B(OH)4 = 5.636872025023490E-003 B2(0H)7 = 9.222844095995456E-004 B3(0H)10 = 9.254880336206108E-004 B4(0H)14 = 4.140063865334803E-006 CBEB = -7.569813270275907E-003 Total mass of dodecahydrate TSP, lb= 5557.186318403057000 PPM of dodecahydrate TSP * = 2279.572043220196000
.MW of dodecahydrate. TSP- = 380.16000oooooooooo*
Log (gamma H2P04l<-_::__ = -7 .214659975840457E-002 pKl (Phosphoric *.:acid) * = 2. 741872444107198
*pK2 (Phosphoric aqidl_ = 7. 574918853055846 pK3 (Phosphoric -*acidr = 12. 359999656677250 RPl = 85167.550294025070000 -
RP2 = 1.743897464401334 RP3 = 3.987799752865332E~005
. H3P04 = .. 2 .374012187078097E-008 H2P04 = 2.021888023416023E-003 HP04 * = 3.525965397338628E-003 P04 = 1.406084394011869E-007 NA = 5.548017769315922E-003
-~~~~-b~i~~~~-~~~~~-----------~----:--;~~;~;~~;~~~~:::::~::~
PALISADES NUCLEAR PLANT, EA-FC-949-01, REV. 3, SHEET B108 ONTAINMENT SUMP pH CONTROL USING PURE TRISODit;JM PHOSPHATE, DODECAHYDRATE tion 1 = 1 (pK values are calculated) option 2 = o (quantity of TSP is calculated) Option 3 =.0 (input quantity is in PPM)
---~------------~---------------~-------------------
Temperature, deg F . = 283.000000000000000 A (constant of activity) = 6.086000204086304E-001 B (constant of activity) = 3.488000035285950E-001 Solution ionic strength = 3.573007961864516E-002
-------------~------------------------~-------------
Total initial mass of water, lb = 2437820.000000000000000 Total final mass of water, lb = 2443233.034369475000000 Density of water, lb/cuft = 57.835498046875000 pK (water) = 11.787644504473990 pK (OH) - 3.894173825713864 Log (gamma OH) = -9.347067876012594E-002 Equilibrium pH = 7.800000000000000 Log (gamma H) = .-7.219854521834095E~oo2 Total mass of Boron, lb = 3500.709520000000000 PPM of Boron - ~ 1436.000000000000000. MW of Boron* - 10.810000000000000 Log Ql,1 (Boric acid) = 2.815928498077410 :;_I - Log Q2,1 (Boric acid) = 2.975504790948024 LogQ3,1 (Boric acid) =. 3.925343274497784 og Q4, 2 * (Boric acid) = 6.638286887896628 11 = 8.351311296098017E-002 21 = 1.205954618883307E-001 RB31 = 1. 0744085.32811033 RB42 = 7.078467403523196E-002 H3B03. = 1.070892591779090E-001 B(OH)4 = 8.943357398632395E-003 B2(0H)7 = l.383001953850333E-003 B3(0H)10 = 1.319493306339843E-003
. B4 (OH) 14 = 9.309425768987050E-006 CBEB * = -1.179204559681747E-002 -------------------~--------------------------------
Total mass of dodecahydrate TSP, lb = 9526.942769580475000. PPM of dodecahydrate TSP* = 3907.976294222082000 _MW of dodecahydra4e TSP - 380.160000000000000 Log (gamma H2P04):_:,<~. , * = -9~103238602385566E-002 pKl (Phosphoric* acid). = 2. 741872444107198 pK2 (Phosphoric* ~.cid) = . 7. 574918853055846 ... -~ ' . '.i.' ': -.. : *. pK3 (Phosphoric acid) = 12.359999656677250 RPl . = 140980.790670433500000 RP2 = 3.149040926758852 RP3 = 7.855290914767605E-005 H3P04 = l.624430106199050E-008 H2P04 *2.290134407607983E-003 HP04 = 7.211726977336178E-003 P04 = 5.665021340485332E-007 NA = 9.502444131379271E-003 -~~~-b;i~~~-~~~~~--c-------------:--;~~;~~~~~~;;~:::::~::~
-------------------------------------------~--------
~-----------
PALISADES NUCLEAR PLANT, EA-FC-949-01, REV. 3, SHEET B109 FINAL .PA-&& oC ANE~"Cl'I.. ~ 9:i~;~~ ~~~~!~~~~:~~~;:~;~~~~~~~~=:~~=~ ~~~:PHATE, Option 2 = O (qu.antity of TSP is calculated) _ DODECAHYDRATE . Option3 =O (input qu.antity is in PPM)
- Temperature, deg F = 283.000000000000000 A (constant of activity) = 6.086000204086304E-001 B (constant of activity) = 3.488000035285950E-001 Solution ionic strength = 6.016547727571912E-002 Total initial mass of water, lb = 2437820.000600000000000 Total final mass of water, lb = 2446727.666973467000000 Density of water, lb/cuft = 57.835498046875000 pK (water) = 11.787644504473990 pK (OH) = 3.672763696842871 Log* (gamma OH) = -1.148808076311194E-001 Equ.ilibrium pH = 8.000000000000000 Log (gamma H) = -8.433959901595531E-002 Total mass of Boron, lb = 3500.709520000000000 PPM of Boron = 1436.000000000000000 MW of Boron = 10.810000000000000 Log Ql,1 (Boric acid) = 2.819813012769571 .og Log Q2,1 (Boric acid)
Log Q3,1 (Boric acid) 11 Q4,2 (Boric acid) 21 .
=
=
=
=
=
2.975504790948024 3.925343274497784 6.638286887896628 1.402973008879089E-001 2.007895443137693E-001.
- RB3.1 = 1.788873282061932 RB42 = 1.962273298281211E-001 H3B03 = 9.937002598414713E-002
- B (OH) 4 = 1.394134643473722E-002 B2(0H)7 = 1.982676690819590E-003 B3(0H)10 = .l.755277507826035E-003 B4(0H)14 = 1.913291348592850E-005 CBEB = -1.792999432206650E-002
--------------------------------------~-------------
Total mass of dodecahydrate TSP, lb - 15677.496518057610000 PPM of dodecahydrate TSP * = 6430~949175106289000 MW of dodecahydrate TSP = 380.160000000000000 _ Log (gamma H2P04l? _ = -1.112194451523140E-001 pKl (Phosphoric acid) = 2.741872444107198
*pK2 "(Phosphoric acid)* = 7.574918853055846 pK3 (Phosphoiic ~6{d)* = 12.359999656677250 RPl = 234070.671504448100000 RP2 = 5.737721737179109 RP3 = 1.570715643431699E-004 H3P04 = 9.89~637816789400E~009 H2P04 = 2.317214871426723E-003 HP04 = 1.329553413749980E-002 P04 2.088350345755112E~006.
NA = 1.561484725891010E-002 lf&E:-----------~----.--------~-------=--=~~=~=====~=~6670E~002
- - r g e balance error . . = 3. 331734563072504E-007
PALISADES NUCLEAR PLANT EA-FC-949-01 Rev 3 Sheet Cl APPENDIX C - *-* ' ANALYSIS FOR COMMERCIAL TSP
PALISADES NUCLEAR PLANT EA-FC-949-01 Rev 3 Sheet C2 Cl.O . OBJECTIVE The purpose of the analysis performed in this appendix is to . determine the quantity of commercia.l grade TSP (commercial TSP) required to raise the pH of borated water in the containment sump to within the range of 7.0 to 8.0, for post-LOCA conditions. In addition, recommendations regarding the procedures and requirements for a pH test are provided. The results of that test. are used to bench-mark the calculated values .. Both the analysis and the test
.are .based upon the commercial TSP manufactured by Monsanto, Ref.
C2.l.l. Also, based.on the results of this appendix, as well as the recommendations provided in the main body of the calculation, th~~\ finalized basket design is evaluated regarding size and location.c>*, . C2.0 ANALYSIS INPUT C2.l References The references provided in the main body of the calculation form the basis for the analysis performed in this appendix. In addition, the following references are used in this appendix.
- C2 . 1. 1 Letter *from Donald W. Oberkramer, Monsanto, to Andy Anderson, CPC, including Product.Data Sheet for*TSP/C, dated 6-14_-:94. (attached).
*M
--**~
C2.l.2 CPC Internal .Correspondences: from B. Z. Blakely, CPC, to D. R. Robinson, S&L, dated 10-19~94 . . Catta6hed) from G. L.*Kelterborn / B. z. Blakely, CPC, to D. R. Robinson, S&L, dated 11-2-94. (attached) C2.l.3 "Containment Flood Analysis", EA-E-PAL-94-0016A-01,Rev.l
PALISADES NUCLEAR PLANT EA-FC-949-01 Rev 3 Sheet C3 C2.1.4 "Minimum Containment Sump Temperature Analysis Following a Double-Ended Discharge Leg Break LOCA with the CONTEMPT EI-28A Code", EA-SDW-94-004, Rev. O. C2.l.5 CPC Drawings 8-M-1504, Rev. 3, 8-M-16, Rev. D, and 8-M-204, Sheet lA, Rev. C. C2.2 Design Input The analysis performed in this appendix is based upon the following design input,, as well as the design input provided in the main body of the calculation. C2.. 2 .1 C2.2.2 The results of the pH test are as follows. Test Solution pH @ 25 oc 2.385 g TSP in 1 liter of 283_3 ppm boron 7.00 4.727 g TSP' in 1 *liter of 1478 ppm boron a. oo*_
-~. !_-_ --
The:: :pH test-was performed using the commercial grade TSP me1.:tt'1-~actured by Monsanto. The results of the TSP dissolution
';'\- ..
test* are as follows.* Temperature,* °F Surface Dissolution Rate. lb/ft 2 /min 130 0.553 150 1. 70 160 3.39 170 4.10
PALISADES NUCLEAR PLANT EA~FC-949-01 Rev 3 Sheet C4 5.37 6.39 The dissolution.test was performed using caked TSP in a 2833 ppm boron solution. T.he density of the TSP used in the test ranges from 45.2 lb/ft 3 to 51.0 lb/ft 3
- However~ for
*conservatism, a density range of 45 lb/ft 3 to 54 lb/ft 3 is -*
used in the analysis. (Ref. C2.1.2) C2.2.3 The containment flood level, h, following a LOCA is 1 . 18 8 h 3 + 2 2 . 5.4 7 h 2 + 7 4 61 . 7 6 7 h + 2 9 3 8 . 316 = vw where h is. in ft and Vw is the volume of water in ft 3 *. (Ref. C2. 1. 3 }~ C2. 2. 4 The minimum sump temperature and the corresponding mass of*, borated water after a large break LOCA, with all co.ntainment spray pumps operating, are provided in Reference C2 .. 1. 4 for both the.existing and the new containment air coolers. These are as follows. Time, sec Suma Temaerature 1 °F - Mass of Borated Water,lb Existing New Existing New 0 60.0 60.0 11854 11854 6 197.4 197.4 228841 228886 10 206.9 206.9 283267 283521 13* 207.2 207.3 296762 297238*
. - . 20 205.0 205.1 316995 317788
.:.:__30::." . 184. 8 185.0 394134 395404
. 40 172.7 173.0 470279 472011 50 164.7 165.0 540208 542368 60 160. 3* 160.7 . 592890 595462 7b 160.2 160.6 614752 617686 80 161.1 161. 5 628719 632068 90 161. 8 162.2 642482 646i77 100 162.6 162.9 656127 660153
PALISADES NUCLEAR PLANT EA-FC-949-01 Rev 3 Sheet cs 1_5Q 167.2 -167 .4 725878 73158Q 2QQ 172.8 172.8 8Q4147 811279 25Q '177.6 177.2 8845Q8 892783 3QQ 173.7 173.1 971985 981Q34 35Q 169.4 168.6 1Q6189Q 1Q7146Q 4QQ 165.5 164.5 115Q73Q 116Q69Q 45Q 161. 8 16Q.6 123876Q 124888Q 5QQ 158.3 157.Q 1326Q6Q 133615Q 55Q 155.1 1.53.7 141274Q 142264Q_ 6QQ 152.1 15Q.6 149891Q 15Q855Q 65Q 149.3 147.7 158462Q 159391Q 7QQ 146.7 145.1 166992Q 167876Q
.75Q 144.2 142.5 175484Q 176316Q SQQ, 141. 9 14Q. 2. 183941Q 184719Q 85Q 139.8 138.Q 192368Q 193Q91Q 9QQ - 137.7 135.9 2QQ768Q_ 2Q1436Q 95Q 135.8 133.9 2Q9143Q 2Q9756Q lQQQ 134.Q 132.1 217496Q 218Q56Q 1Q5Q 132.2 13Q.3 225827Q 226337Q llQQ 13Q. 5 128.6 234137Q 234599Q 115Q 129.Q 127.Q 242434Q 242843Q 12QQ 127.4 125.5 25Q716Q 251Q77Q Th~ dissolution time is determined in this appendix for both t:he existing and. the new containment air coolers.
(Ref. C2.1.4)
--- -:=-- :_
-- * -:;_. I C2, 2. 5 - _-:The' TSP -baskets - are located according to the drawings in
.::,~ --. -_
*Reference C2.1.5.
The basket size is 2.Qx2.Qx3.Q ft, and the basket bottom surface is Q,5-ft above the sump floor. - (Ref. C2. 1. 5) C3.0 ASSUMPTIONS The analysis performed in this appendix is based upon the
PALISADES NUCLEAR PLANT EA-FC-949-01 Rev 3 Sheet C6
*assumptionsdiscussed in the main body of the calculation, with the exception of assumption 3.1.4. The analysis performed in this appendix is based upon the commercial TSP manufactured by Monsanto, Ref. C2.l.l . . C4 . 0 APPROACH C4.l Methodology The purpose of the analysis performed in this appendix is to determine the quantity of commercial TSP required to .raise the pH of borated water in the containment sump to within the range of 7.0 to 8. 0, for post-LOCA conditions._ The methodology outlined in the~'=
main body of the calculation is used.in this appendix as *well. Recommendations regarding the procedures and requirements for a pH test are provided. The results of that *test are used to bench-mark the c.alculated values. *Both the. anaiysis. and the test are based upon the commercial TSP manufactured by Monsanto. In addition, based on the considered TSP density and surface
*dissolution rate, as well as the required TSP mass and the required dissolution time, the finalized basket design. is evaluated.
C4.2 Acceptance Criteria A ~ommerci~::t TSP* quantity that would raise the pH value to within the range .:**of: 7 ...o to 8, 0 I for both the maximum and the minimum quantities" of.boron .and borated water in the sump, is considered acceptable*. Also, a basket size that would allow the TSP quantity required to raise the_ sump pH to 7.0 to dissolve within 20 minutes from a large break LOCA is considered acceptable. C4 . 3 Computer Program
PALISADES NUCLEAR PLANT EA-FC-949-0l Rev 3 Sheet C7 A one-shot computer program, DISS, is developed specifically for the analysis performed in this appendix. This program is used to determine the dissolution time, and is compiled in Microsoft Fortran on an IBM-compatible personal computer. The program is validated in accordance with the-Palisades Nuclear Plant Administrative Procedure 9.14, Reference 2.1.15, as follows. A hand calculation is performed for a typical case, and the results are compared with those obtained using .the computer program. Appendix D includes a listing of the computer program DISS as well as the program validation, and Appendix E includes the computer output for all cases considered in this appendix .
PALISADES NUCLEAR PLANT EA-FC-949-01 Rev 3 Sheet ca cs.a ANALYSIS CS.l Formulae and Symbols
.The formulae.and symbols provided in the main body of the calculation are used in this appendix as well.
CS.2, Computations CS.2.1 Required quantity of commercial TSP In the main body of the calculation, a parametric analysis is
- performed to determine the required quantity of pure TSP as a function of the the sump temperature and the equilibrium pH value~,
for both the maximum and the minimum quantities of boroµ and - borated water in the sump. The results of that parametric analysis show the following. For the case of maximum quantities of boron and borated water, the maximum quantity of pure TSP required to raise the sump pH to 7.a (la412 lb TSP), occurs at i7 °F. For the case of minimum quantities of boron and borated water, the minimum quantity of pure TSP required to raise the sump pH to
*a.a (14750lbTSP), isat77°F ..
It is .assumed that the above trends are valid for the commercial TSP as wel.f~* There.fore, the pH analyses performed in this appendix
.are based.upon a sump. temperature of 77 °F. *In Case A, the maximum quantities*of boron and borated water are considered and the maximum quantity of commercial TSP that would raise the sump pH tq 7.0 is determined. In Case B, the minimum q\iantities of boron and borated water are considered and the minimum quantity of commercial TSP that would raise the sump pH to 8.0 is determined. These are as follows.
PALISADES NUCLEAR PLANT EA-FC-949-01 Rev 3 Sheet C9
- case A:
3392396 lb of water with 2852 ppm boron, at 77 °F (298.15 K), is considered. -The quantity of commercial TSP required to raise the_ pH of the solution to 7.0 is calculated as follows. The approximate effective ionic radii of H+ and OH- in aqueous
- solutions are 9.0 A and 3.5 A respectively, and that of H2 P04-, HP0 4-- i and P04___ is 4.0 A. (Ref. 2.1.4)
At 77 °F, the density of water, Pw-, is 62. 253 lb/ft 3 . (Ref. 2 .1. 2) At 77 °F, the constants A and B in the Debye-Huckel equation are 0.5115 and *o.3291 respectively. (Ref. 2.1.4) (l)Assume a solution ionic strength, I, of 0.02585i. The individual activity coefficient, yi, is 2 0 5 0 5
-log Yi= (A zi I * ) / (l+(B Ai I * )) (Ref. 2.1.4)
The activity coefficient of H+, yH, is
- 1 og y H= ( O . 5115 ) ( 1 ) 2
( 0 . O2 5 8 Si ) 0 5
* / ( 1 + ( O . 3 2 91 ) ( 9 ) ( o . O2 .5 8 5 1 ) 0
- 5 )
log YH~ -0.055710 YH= 0. 8 79610 The activity -coefficient of OH-, y 0H, is
* *** =.." .* - _ *.
2 0 5
-log YoH=CO<SllS) , .. ". '
(1)- (0.025851) 0
- 5 /(l+(0.3291) (3.5) (0.025851) .
* )
log YoH= -Q,L069389 YoH= 0. 85234 The activity coefficient of H3P04, YH 3P04, is 0 5
-log YH3P04=(0.5115) (0) 2 (0.025851)u/(l+(0.3291) (4) (0.025851) * )
log YH3P04= O YH3P04= -1
PALISADES NUCLEAR PLANT EA-FC-949-01 Rev 3 Sheet ClO The activity coeffici.ent of H2 P0 4-, YH 2P04 , is
-log YH 2 P04= (0. 5115) (i) 2 (0. 025851) 0* 5/ (1+ (0. 3291) (4) (0. 025851) 0*5) log YH2P04= -0.067874
. YH2P04= 0. 855314 The activity coefficient of HP04--, YHP04* is
-1 og y HPo4= ( O
- 5.115 ) ( 2 ) 2 ( O
- O2 5 8 51) 0*5I ( 1 + ( O
- 3 2 91) ( 4 ) ( O
- O2 5 8 51) 0* 5) log YHP04= :.. o. 2 71497 YHP04= 0. 535183 The* activity coefficient of P0 4___ ; YP04 , is
- 1 og y p04 = ( O
- 5 1 i 5 ) ( 3 ) 2 ( O
- O2 5 8 5 1 ) 0* 5I ( 1 + ( O
- 3 2 91 ) ( 4 ) ( O . O2 5 8 5 1 ) 0* 5) log YPo4= -0.610869 YP04= O*. 244980 The ionic activity product constant of water, K..,, is pK..,= 4470. 99/T - 6. 0875 + 0. 0170.6 T (Ref. 2 .1. 3)
PK...= 4470. 99/298 .15 - 6. 0875 + (O. 01706) (298 .15) pK..,= 13. 9947 Kw= 10-13.9947 = c1.0122> <10>-14 The *equilibrium quantities of H+ and OH- are YH [H*J = lo-pH (Ref. 2. 1. 4) (lO) -0.055110 [H*] = 10 -1 [H*J= lo-1+0.055110 = (1.13686) c10>~1 YoH [OH-] YH [H+] =* K.., (Ref . 2 . 1. 4 ) YoH[OH.-1*~ r£0122) (10)- 14 (10) 7 =
*.. ~:/ - .. - .
(1.0122) (10)- 7 (10) -o.o693li9)~pH-] =* (1. 0122) (10} -1 [oH-J= <1~_0122).(l0).- 1
- 0
- 069389 = (1.1876) (10)- 1 (2)_ Assume a TSP quantity of 8246.882 lb Total mass of boron is M8 = Mw ppm /10 6- = (3392396) (2~52) / (10) 6 = 9675 .11 lb
PALISADES NUCLEAR PLANT EA-FC-949-01 Rev 3 Sheet Cll Total final mass of water is Mw,fina1= Mw,initial + MTSP (MWw/MWTSP)_ Mw,final= Mw,initial + MTSP (180/354
- 09)
Mw,final= 3392396+8246. 882 (180/354. 09) = 3396558 lb Total final volume of water is Vw,fina1= Mw,fina11Pw vw,fina1= 3396558/62. 253= 54561. 03 ft 3 = 1545168 liters Concentration of boron is Molality8 = M8 / (Vw,final MW 5 ) Molality8 = (9675.11) (453.6)/((1545168) (10.81)) Molality8 = 0.26274 grammole/liter Concentration of TSP is MolalityTSP = M.rsp/ (Vw,final MWTSP)
- Mola_litYTsP = (8246. 882) (453. 6)
MolalitYTsP = 0. 00683712 grammole/liter The dissociation.constants of phosphoric acid are I ( (1545168) (354. 09)) pK 1 = 583.01/T - 2.715 + 0.009801 T (Ref. 2. 1. 6) pK 1 = 583.01/298.15-2.715+(0.009801) (298.15) pK 1 = 2 .16259 K = l0- 2* 16259 = 1 (6. 877122) (10) -J pK 2 = 1272.7/T - 1.154 + 0.01368 T (Ref. 2.1.6) pK2 = 1272.:7/298.15 - 1.154 + (0.01368) (298.15) pK 2 = 7 .193349 K2 = 10- 1
- 193 ~49 ' = (6 .406950) (10)- 0 pK3 = 12. 36' (Ref. 2. 1. 4)
K3 = 1 0 - 12
- 36 = ( 4 . 3 6 5 16 ) ( 1 0 ) - n (3) Assume H3P0 4 concentration of (4.201740) (10)- 0 grammole/liter The equilibrium quantities of phosphoric acid species are YH2P04 [H2P04 -1 YH [H+J I YH3P04 [H3P04] = K1 (Ref. 2 . 1. 4) 7 (0.855314) [H2 P0 4-] (10)- /((l) (4.20174) (10)- 8
= (6.877122) (10)- 3
PALISADES NUCLEAR PLANT EA-FC-949-01 Rev 3 Sheet C12
, [H 2 P0 4-] = (6-. 877122) (10) -3 (1) (4. 20174) (10) - 0 ; ( (0. 855314) (10) -7 )
[H 2 P0 4-] = (3. 37839) (10) -3
- YaP64 [HP04--] Ya [H+] / Ya2Po4 [H 2P0 4-] = K2 (Ref. 2. 1. 4) 7 3 (0.535183) [HP0 4--] (10)- /((0.855314) (3.37839) (10)- )=
(6 .406950) (10) - 0 [HPQ 4--]= (0.855314) (3.37839) (10)- 3 (6.406950) (10)- 8 / ( (0. 535183) (10) - 7 ) [HPQ 4--] = (3 .45927) (10)- 3 YPo4 [P04 ___ ] Ya [H+] / YaP04 [HP0 4--] = K3 (Ref. 2. 1. 4) (0.244980) [P0 4___ ] (10)- 7/((0.535183) (3.45927) (10)- 3)= (4. 36516) (10) -ll [P0 4---1= (0.5351S3) (3.45927) (10")- 3 (4.36516) (10)- 13 / ( (0. 244980) (10) - 7 ) [PQ 4 ---]= (3.29880) (10)- 8 TSP concentration based ori the above* quantities is MolalitytiP = [H3P0 4 ] + [H 2 P0 4 -] + [HP0 4 --] + [P0 4 ---1 I. MolalitYTsP= (4.201740) (10)- 8 +(3.37839) (10)- 3+(3.45927) (10)- 3+ ( 3 . 2 9 8 8 0) ( 10) - 9 MolalitYTsP= 0. 00683 774 grammole/liter Error due to assumption (3) above is Error = (0.00683774-0.00683712) (100)/0.00683712= 0.0091% Therefore. assumption (3) above is verified. The molal equilibrium quotients of boric acid are log Q1 , 1 = l_S73. 21/T* + 28 ._60.59 + 0. 012078 T - 13. 2258 log T + (0. 3250**~* 0.. 00033 T) I - 0. 0912 I 1 ' 5 log Q2 , 1 2756i .1/T _ - 18. 966 + 5. 835 log 1' log Q3, 1 = 3339. 5/T - 8. 084 + 1. 497 log T log Q42 = i2820.0/T -134.56 + 42.105 log T (Ref. 2.i.5) log Q1 , 1 = 1573.21/298.15+28.6059+(0.012078) (298.15)- ( 13 . 2 2 5 8 ) ( 1 og 2 9 8 . 15 ) + ( O . 3 2 5 O- ( O . OOO3 3 ) ( 2 9 8 . 15 ) ) ( O . O2 5 8 5 1) - (0,0912) (0.025851)1.S log Q 1 , 1 = 4: 76267
PALISADES NUCLEAR PLANT EA-FC-949-01 Rev 3 Sheet C13 Q1,1= 57893.1 1 og Q2. 1 = 2 7 5 6 . 1I2 9 8 ..15 - 18 . 9 6 6 + 5 . 8 3 5 1 og 2 9 8 . 15 log Q2, 1 = 4. 7163 Q2,l = 52039. 35 log Q3, 1 = 3339. 5/298 .15 - 8. 084 + 1.497 log 298 .15 log Q3, 1 = 6. 8210 Q3. l = 6 6 216 5 8 . 8 log Q4, 2 = 12820. 0/298. IS -134. 56 + 42 .105 log 298 .15 log Q4, 2 = 12. 625 Q4,2 = (4.2128) (10 12 ) (4) Assume H3B0 3 concentration is 0.230828 grammole/liter The equilibrium quantities of boric acid species are [B (OH) 4-1 / [B (OH) 3] [OH-] = Q1. 1
. [B2 (OH) 7-] I [B (OH) 3] 2 [OH-] = Q2,l
- [B3 (OH) 10 -1 I [B (OH) 3] 3 [OH-] = Q3,l
[B4(0H)14--] I [B(OH)3] 4 [OH:]2 .= Q4,2 [B(OH) 4-] [B(OH) 4-]
=
=
(57893.1) (0.230828) (1.1876) (10)- (1.58703) (10)- 3 7 (Ref. 2. 1. 5) [B 2 (OH) 1-l 2 7
= (52039.35) (0.230828) (1.1876) (10)-
4 [B 2 (OH) 1-] = ( 3 . 2 9 2 9 0 ) ( 10 ) - 3 7 [B 3 (0H) 1 o-l = (6621658.8) (0.230828) (1.1876) (10)- [B 3 (OH) lo -1 = ( 9 . 6 716 9) ( 10) -3 . [B4 (OH) 14 --J = (4.2128) (10 12 ) (0.230828) 4 ( (1.1876) (10)- 7 ) 2 [B4.{0H) 14 --l - (i. 68681) (10) -4
;._~ -:" .
. :.~---
Boron concentration.* based on the above quantities is Molality8 = [B (OH) 3] + [B (OH) 4-3 +2 [B 2 (OH) 7 -] +3 [B 3 (OH) 10 -] +4 [B 4 (OH) 14 --] Molality8 =(0.230828)+(1.58703) (10)- 3+(2) (3.29290) (10)- 4+ (3) (9.67169) (10)- 3 +(4) (i.68681) (10)- 4 Molality8 =0 ~ 2627634 grammole/liter Error due to assumption (4) above is Error= (0.2627634-0.26274) (100)/0.26274 = 0.0089%
PALISADES NUCLEAR PLANT EA-FC-949-01 Rev 3 Sheet C14 Therefore. assumption (4) above is verified. Na concentration is [Na+]= (13/4) (MolalityTSP) = (3 .25) (MolalityTSP) [Na+]= (3 .25) (0. 00683774) [Na+]= 0. 022223 grammole/liter Borated water charge balance error, CBEB, is CBEB= [H*] - [OH-] - [B (OH) 4 [B 2 (OH) 7 [B 3 (OH) 10 2 [B 4 (OH) 14 --1 7 3 CBEB= (1.13686) (10)- - (1.1876) (10) _,_ (1. 58703) (10)- - (3 .29290) (10)- -(9.67169) (10)- -(2) (1.68681) (10)- 4 4 3 CBEB=-.0. 0119254 Trisodium phosphate charge balance error, CBEP, is CBEP,.; [Na+.] - [H 2 P04 -] -2 [HP0 4 --] -3 [P0 4 ---1 CBEP=(0.022223)-(3.37839) (10)- 3 -(2) (3.45927) (10) (3) (3.29.880) (10)- 8 CBEP=0.0119260 Charge balance error; CBE, due to assumption (2) above, is CBE=abs(CBEB+CBEP)/((ab~(CBEB)+abs(CBEP))/2) CBE=abs(-0.0119254+0.0119260)/
* .<Cabs(-0.0119254)+abs(0.0119260))/2)
CBE = ( 6 . 0 ) ( 1 0 ) _,I ( 0 . 0 119 2 5 7 ) CBE= (5. O) (10)-~ 5 Therefore-, Assumption (2) above is verified The ionic:~trength of the solution is I = (C 1 Z1 2
+ C2 Z2 2
+ ... *. . . . + .Cn Zn 2
) /2 (Ref. 2. 1. 4) 2 2 I= ( [Na*]+[H*]+[OHT+[H2 P0 4 -]+[HP0 4 --] (2) +[P0 4 ___ ] (3) +[B(OH) 4 -]+
[B 2 (OH),-]+ [B 3 (OH) 10 ~] + [B 4 (0H) 14
--] (2) 2
) /2--
I =* ((0.022223)+{1.13686) (10)- +(1.1876) (10)- 7 +(3.37839) (10)- 3 + 7 (3.45927) (10)- 3 (4)+(3.29880) (10)- 8 (9)+(1.58703) (10)- 3 + (3.29290) (10)- 4 +(9.67169) (10)- 3 +.(1.68681) (10)- 4 (4))/2 I = 0.025851
PALISADES NUCLEAR PLANT EA-FC-949-01 Rev 3 Sheet C15 Error due to assumption (1) above is Error = (0 . 025851- 0 . 025851) ( 10 0) I 0 . 025851 = 0 . 000% Therefore. assumption (1) above is verified. Based on the above, assumptions 1 through 4 are verified, and the commercial TSP quantity required to raise the pH of the solution to 7.0 is 8246.882 lb. Case B: 2437820 lb of water with 1436 ppm boron, at 77 °F (298.15 K)~ is considered. The commercial TSP quantity required to raise the pH of the solution to 8.0 is cal6uiated as follows: The approximate effective ionic radii of H+ and OH- in aqueous and P04___ is 4. 0 A; solutions are 9. 0 A and 3. 5. A respectively' and that of H2Po4-,. HP04-- (Ref . 2 . 1. 4 ) At 77 °F, the density of water, Pw' is 62. 253
- lb/ft 3 * (Ref. 2. 1. 2)
At 77 °F, the constants A and B in the Debye-Huckel equation are
.0.5115 ~nd 0.3291 res~ectively. (Ref. 2 .. 1.4)
(1) Assume a solution ionic strength. I. of 0. 0535970. The individ4al activity coefficient, yi, is.
-log Yi = (A zi2 I 0
- 5 ) / (l+ (B Ai r 0
- 5 ) ) (Ref. 2. 1. 4)
- The. activity coefficient of H*, yH, is 2 0 5 0 5
-log YH= (0. 5115) (1) (0. 0535970) * / (1+ (0. 3291) (9) (O. 0.53S970) * )
1 Og Y H= - 0
- 0 7 Q2 4 8 YH= 0 . 8 5 0 6 5 2 The activity coefficient of OH-, YoH1 is
- 1 og yoH=. ( 0 . 5 115 ) ( 1 ) 2 ( 0 . 0 5 3 5 9 7 0 ) 0
- 5 / ( 1 + ( 0 . 3 2 91 ) ( 3 . 5 ) ( 0 . 0 5 3 5 9 7 0 ) 0
- 5 )
- PALISADES NUCLEAR PLANT log Y~= -0~093488 YOH= 0
- 8 0 6 3 2 9 EA-FC-949-0l Sheet Cl6 Rev 3 The activity coefficient of H3P0 4, YH 3 P04, is
-log YH3P04=(0.5115) (0) 2 (0.0535970) 0* 5 /(l+(0.3291) (4) (0.0535970) 0* 5 )
log YHJPa4= 0 YH3P04=. 1 The activity coefficient of H2Po 4-, YH2P04, is
-1 og YH2p 04 = ( 0 . 5115 ) ( 1) 2 ( 0 . 0 5 3 5 9 7 0 ) 0* 5 / ( 1 + ( 0 . 3 2 91) ( 4) ( 0 . 0 5 3 5 9 7 O) 0*5 )
log YH 2p 04 = -0.090758 YH2P04= 0.8114130 The activity coefficient of HP0 4--, YaP04' is : ...
- 1 Og YaP04 = ( 0 . 5 115 ) ( 2 ) 2 ( 0
- 0 5 3 5 9 7 ) O 'S / ( 1 + ( 0 . 3 2 91 ) ( 4 ) ( 0 . 0 5 3 5 9 7 0 ) O . 5 ) .
. 1 Og YHP04 = - 0
- 3 6 3 0 3 YaP04= 0.433478 The activity coefficient of P0 4___ , yP04, is
-log YP04=(0.5115) (3) 2 (0.0535970)o.s/(l+(0.3291) (4) (0.0535970)o.s) 16g YP0 4= -0.816823.
YPa4= Q. 152468 The ionic activity prqduct constant of water, Kw, is P!Cw= 4470.99/T - 6.0875 + 0.01706 T (Ref.- 2.1.3) PKw= 4410:9*9/299;15-_ 6.0875 + co.01706) (298.15) P!Cw=. 13. 9947L---.. Kw= 10- 13 ~ 9947 :::, . (1~0122) (10) -l 4 . The equilibrium quantities of H+ and OH- are Ya [H+] = 10-pH * (Ref. 2 . 1. 4) (lO) -o.01024a [H+] = 10 -8 [H+] = 10-8+0.010249 = (1.17557) (10) -a Yea [OH-] YH [H+] = Kw (Ref. 2. 1. 4)
- Yoa[OH-]= (1.0122) (10)- 14 (10) 8
= (1.0122) (10)- 6
PALISADES NUCLEAR PLANT EA-FC-949..:..Ql Rev 3 Sheet C17 (10)-0.093499 [OH-]= (1.0122) (10)-6 [OH-j = ( 1. 0122) ( 10) - 6* 0* 093499 = ( 1. 2553) ( 10) - 6 (2) Assume a TSP quantity of 11016.10 lb Total mass of boron is Me= Mw ppm /10 6 = (2.437820) (1436) / (10) 6 = 3500. 71 lb Total final mass of water is Mw,finai=. Mw,initial + MTSP (MWw/MWTSP) Mw,final= Mw,initial + MTsp(l80/354
- 09)
Mw,final= 2437820+11016 .10 (180/354. 09) = 2443420. 0 lb Total final volume of water is vw,fina1= Mw,fina11Pw vw,final= 2443420. 0/62. 253= 39249. 8 ft 3 = 1111555 liters Concentration of boron is Molalitye = Me/ (Vw,final MWe) Molalitye = (3500.71) (453.6)/((1111555) (l0.81)) Molalitye = 0.13215 grammole/liter Concentration of TSP is MolalityTSP = MTSP/ (Vw,final MWTsP)
- MolalitYTsP = (11016 .10) (453. 6) I ( (1111555) (354. 09))
MolalitYTsP =- 0. 0126957 grammole/l.iter
- ~ ... _.
The dissociation constants of phosphoric acid are pK1 = 583.01/T - 2~715 + 0.009801 T (Ref. 2.1.6) pKl = 5 8 3 . 01I2 9 8 . 15 - 2 . 715 + ( 0 . 009801) (.2 9 8 *. 15 ) pK1 = 2 .16259 K = 10- 2* 16259 = 1 (6. 877122) (10) -.3 pK2 = 1272.7/T*- 1;154 + 0.01368 T (Ref. 2.1.6) pK 2 = 1272.7/298.15 - 1.154 +. (0.01368) (298.15). pK2 = 7 .193349
PALISADES NUCLEAR PLANT EA-FC-949-01 Rev 3 Sheet C18 K2 = 10- 1 *1 93349 . ( 6 . 4 0 6 9 5 0) ( 10) - 0 pK3 = 12. 3 6 (Ref. 2 .1. 4) K3 = 10 - 12 *36 = ( 4 . 3 6 5 16 ) ( 10 ) - 13 ( 3) Assume H3 P0 4 concentration of ( 1. 15285) ( 10) - 9 grammole/liter The equilibrium quantities of phosphoric acid species are YH2Po4 [H2P04 -l YH [H+] I YH3Po4 [H3P04] = K1 (Ref. 2. 1. 4) 8 (0.811413) [H 2 P0 4 - ] {10)- /((1} (1.15285) (10)- 9
= {6.877122) (10)- 3
[H 2 P0 4 -]= (6.877122) (10)- 3 (1) (1.15285) (10)- 9 / ( (0.811413) (10)- 8 ) [H 2 P0 4 -] = (0. 977097) (10) -3
- YHP04 [HP04 --] YH [Wl I YH2Po4 [H2P04 -] = K2 (Ref. 2. 1. 4)
(0 .433478) [HP0 4--] (10) - 0
; ( (0. 811413) (0. 977097} (10)- 3} =
(6 .406950} (10} - 9 [HP0 4--]= (0.811413) (0.977097} (10)- 3 (6.406950) (10)- 8 / ( (0 .433478} (10)- 8 } [HP0 4--] = {1.171828} .{10} - 2 YP04 [P04 ---] YH [H*J I YHP04 [HP0 4 --] = K3 (Ref. 2. 1. 4} (0 .152468) [P0 4 ___ ] {10) - 9
/ { {O .433478) (1.171828} {10} - 2
} =
3 (4. 36516} (10) -l [P0 4 ___ ]= *{0.433478) (1.171828) (10)- 2 (4,36516) {10)- 13 / { (0 .152468} {10} - 0 ) [P0 4 --.-] = {1.454295} (10} -& TSP concentration based on the* above quantities is MolalityTSP"~ . [H3P04] + [H2P04-1 + [HPo.-~J + [P04 ___ ] . MolalitYTsP.#~: ((.15285*} {10)- 9 + {0. 977097} {10} -3 + c1 . 1110 2°8J c1 o"- 2 + c1 . 4 5 4 2 9 5 > c1 o>-6 MolalitYTs~~- 0. 012.G968 grammole/liter Error due to assumption {3} above is Error-= (0 .. 0126968-0.0126957} {100)/0.0126957= 0;0087% Therefore. assumption (3} above is verified. The molal equilibrium quotients of boric acid are
PALISADES NUCLEAR PLANT EA-FC-949-0i Rev 3 Sheet Cl9 log Q 1 , 1 = 1573.21/T + 28.6059 + 0.012078 T.:.. 13.2258 log T + (0.3250 - 0.00033 T) I - 0.0912 Ii.s log Q 2 , 1 = 27561.1/T - 18. 966 + 5. 835 log T log Q3 , 1 = 3339. 5/T - 8. 084 + 1.497 log T log Q4 , 2 = 12820.0/T -134.56 + 42.105 log T (Ref. 2.1.5) log Q 1 , 1 = 1573.21/298.15+28.6059+(0.012078) (298.15)- ( 13 . 2 2 5 8 ) ( 1 og 2 9 8 . 15 ) + ( o . 3 2 5 o- (o . ooo3 3 ) ( 2 9 8 . 15 ) ) ( o . o5 3 5 9 7 ) - (0.0912f (0.053597)l.S log Q 1 , 1 = 4. 76816 Q1,1= 58635. 7 log Q 2 , 1 = 2756 .1/298 .15 - 18. 966 + 5. 835 log* 298 .1.5 log Q2 , 1 = 4. 7163 Q2. l = 52 03 9
- 3 5 1 og Q3 , 1 = 3 3 3 9 . 5 Ii 9 8 . 15 - 8 . O8 4 + 1. 4 9 7 1 og 2 9 8 . 15 ; ..
log Q3 , 1 = 6. 8210 Q3;l = 6621658. 8 . log Q4 , 2 = 12820. 0/298 .15 -134. 56 + 42 .105 log 290*.15 log Q~. 2 = 12. 625 Q4,2 = ( 4 . 212 0 > <1o 12 ) (4) Assume H 3 B03 concentration is 0. 0978819 grammole/liter The equilibrium quantities of boric acid. species are [B (OH) 4-1 . I [B (OH} 3] [OH-] = Ql .i [B 2 (0H),-] ( [B(OH} 3] 2 [OH-] = Q2 , 1 [B 3 (OH} 10 -] / . [B (OH} 3 1 3* [OH-] = Q3 , 1 14 --l~/- 1 = Q4 , 2 4 2 [B 4 (OH} [B (OH) 3 [OH-] (Ref . 2 . 1. 5) [B(OH) 4 -] =c~(S8635.7) (0.0978~19) (1.2553) (10)- 6 [B(OH) 4 "] ='-(7.205) (10)- 3 [B 2 (OH),-]. = (52039:35) (0.0978819) 2 (1.2553) (10)- 6 [B 2 (OH) ,-1 = ( 6 . 15 9 ) ( 1 0 ) -4 [B 3 (OH) lo-l = (6621658.8) (0.0978819) 3 (1.2553) (10)- 6 3 [B 3 (OH) lo-] = ( 7
- 7 9 5 ) ( 10 ) -
= (4.2128) (10 ) (0*~0978819) ((1.2553) 4
[B 4 (OH) 14
--] 12 (10)- 6 ) 2
[B4 (OH) 14 --1 = (6. 094) (10)- 4
PALISADES NUCLEAR PLANT EA"'"FC-949-01 Rev 3 Sheet C20 Boron concen~ration based on the above quantities is Molality8 = [B (OH) 3 ] + [B (OH) 4 -] +2 [B 2 (OH) 7 -] +3 [B 3 (OH) 10 -] +4 [B 4 (OH) 14 --] 3 4 Molality8 =(0.0978819)+(7.205) (10)- +(2) (6.259) (10)- + (3) (7. 795) (10)- 3 + (4) (6. 094) (10) -4 Molality8 =0 .13216 grammole/liter Error due to assumption (4) above is Error= (0.13216-0.13215) (100)/0.13215 = 0.0076% Therefore. assumption (4) above is verified. Na concentration is . [Na+]= (13/4) (MolalityTSP) = (3. 25) (MolalitYTsP> [Na+]= (3.25) (0.0126968) [Na+]= 0.041265 grammole/liter Borated water charge balance error, CBEB, is . CBEB.;, [H+] - [OH-]"'" [B (OH} 4 -] - [B 2 (OH)*7 -] - [B 3 (OH} 10 -] -2 [B 4 (OH} 14 ~-] CBEB= ( 1. i. 7 5 5 7} ( 10} ~ - ( 1 . 2 5 5 3} ( 10} ( 7 . 2 0 5} ( 10} 8 (6.259}*(10)- 4 -(7.795) (10) (2) (6.094) (10)- 4 CBEB=-0.0168459 Trisodium phosphate charge balance error, CBEP, is CBEP= [Na+] - [H2 P0 4 -] -2 [HP04 --] -3 [P04 --'] CBEP= (O. 041265) - (0. 977097) (10) (2) (1.171828) (10) . (3) (1.454295) (10) -5 CBEP=O. 01_68470' - , Charge balance error, CBE, due to assumption (2): above, is CBE=abs(CB~B+CBEP}/((abs(CBEB)+abs(CBEP)}/2) CBE=abs(~0.016~459+0.0168470)/ ((abs(-0.0168459)+abs(0.0168470}}/2} CBE,;, (1, 1) (10) -6 / (O. 0168465) CBE,;, (6. 5) (10) -s Therefore. Assumption (2) above is verified
PALISADES NUCLEAR PLANT EA-FC-949-01 Rev 3 Sheet c21* The ionic.strength of the solution is I= (Ci Zi2 + C2 Z2 2 + ....... + Cn Zn 2 )/2 (Ref. 2.1.4) 2 I= ([Na*l+[H*l+[OH"l+[H2P0 4 -l+[HP04--l (2) +[P0 4 ---1 (3) +[B(OH) 4 -l+ 2 [B2 (OH) 7 -1 + [B 3 (OH) ia-l +. [B 4 (OH) l.4 --1 (2) 2
) /2 8
I= ((.041265)+(1.17557) (10)- +(1.2553) (10)- 6 +(0.977097) (10)- 3 + (1.171828) (10)- 2 (4) + (1.454295) (10)- 6 (9) + (7 .205) (10)- 3 + (6.259) (10)~ 4 +(7.795) (10)- 3 +(6.094) (10)- 4 (4))/2 I = 0.053597 Error due to assumption (1) above is Error= (0.053597-0.053597) (100)/0 .. 053597 = 0.0% Therefore. assumption (1) above is verified. Based on the above; assumptions 1' through 4 are verified, and the commercial TSP quantity required 'to raise the pH of the solution:~to 8.0 is 11016.10 lb . C5.2.2 pH Test Requirements A two-part pH test is. discussed. in this section. The boron concentrati6ns specified for this test are clo~e to the concentrations corresponding to the maximum and minimum boron and borated water quant1ties, as well as the required pH range,* in the sump. The test is based upon a borated water quantity of 1 liter c:tt 77 °F, and_ boron concentrations of 2833 ppm and 1478 ppm for parts 1 and 2.resJ_)ectively. The test requirements are as follows. Part 1 Part 2 Temperature; °F (°C) 77 (25) 77 (25) Borated water quantity, liter 1 1 Boron concentration, ppm 2833 1478 TSP quantity, gram 2.385 4.727
. Equilibrium pH 7.0 8. o.
pH tolerance pH>7.0 pH<8.0
PALISADES NUCLEAR PLANT EA-FC-949-01 Rev 3 Sheet C22 The above pH test requirements are determined in Cases C and D below. In Case c, the quantity of commercial. TSP required for Part 1 of the test is determined. In Case D, the quantity *of commercial TSP required for Part 2 of the test is determined. Case C: 2.19844 lb of water with 2833 ppm boron, at 77 °F (298.15 K), is considered. The quantity of commercial TSP required to raise the pH of the solution to 7.0 is calculated as follows. The approximate effective ionic radii of W and OH- in C1.queous solutions are 9.0 A and3.SA respectively, .and that of H2 P0 4 - , HPq 4 -- and P0 4 ___ is 4. O A. (Ref. 2 .1.4) '"
- At 77 °F, the density of water; Pw, is 62. 253 lb/ft 3 * (Ref. 2 .1. 2)
At 77 °F, the constants A and B in the Debye-Huckel equation are 0.5115 and 0.3291 respectively. (Ref. 2.1.4) (l)Assume a solution ionic strength. I. of 0.0254309. The individual activity coefficient, yi, is.
-log Yi= (A Zi 2
' I 0 '5 ) I (l+(B Ai I 0 *5 )) '(Ref. 2.1.4)
The activity coefficient of H*, yH, is
-log YH= (0* ..:511'5) (l) 2 (0. 0254309) o.s I (l+ (O. 3291) (9) (0. 0254309) 0 5
* )
log YH= -0:~554012 YH= 0. 880235 The activity coefficient of OH-, y 0 H, is
- 1 og y oH= ( 0 . 5 115 ) ( 1 ) 2 ( 0 . 0 2 5 4 3 0 9 ) o.s / ( i + ( 0 . 3 2 91 ) ( 3 . 5 ) ( 0 . 0 2 5 4 3 0 9 ) 0
- 5 )
log r~= -0.0689112 YoH= 0. 85.32 75
PALISADES NUCLEAR PLANT EA-FC-949-01 Rev 3 Sheet C23 The*~ttivity coefficieni of H3P0 4 , y~pe4 , is
- 1 og y 83 P04 = ( 0 . 5 115 ) ( 0 ) ( O . O2 5 4 3 O9 ) * / ( 1 + ( O . 3 2 91 ) ( 4 ) ( O . O2 5 43 O9 ) 0*5) 2 0 5
. log YH3P04= 0
. YH3P04= 1 The activity coefficient of H2P0 4-, Y82 pe4 , is
-log y 82 P04=(0.5115) (1) 2 (0.0254309) 0* 5/(l+(0,3291) (4) (0.0254309) 0* 5) log Y82 P04= -0. 0674167 YH2Po4= 0. 856216
*The activity coefficient of HP0 4 --, y 8p 04 , is
-log YHP04=(0.5115) (2) 2 (0.0254309) 0*5/(l+(0.3291) (4) (0.0254309) 0* 5) log Y8P04= -o .269667 YHP04= 0. 53 7444
*.. r *.
- The activity coefficient of P04___ ,. yP04,. is
- 1 og y ~ = <o . 5 115 ) c3 ) 2 c o . o2 5 4 3 o 9 ) 0* s I c1 + c o . 3 2 91 ) c4 ) <o . o 2 5 4 3 o9 ) 0* 5) log YP04= -0.606750 YP04= 0.247315 The ionic activity product constant of water, K,.,. is pK,.= 4470.99/T.:. 6.0875 + 0.01706 T (Ref. 2.1.3) pl<,.= 4470.99/298.15 - 6.0875 + (0.01706) (298.15)
Pl<w= 13. 9947 Kw= 10-13.9947 = ci.0122> c10>-14 The equilib~~um quantities of H+ and OH- are YH [H+]_= lO~p~;. .* :. (Ref. 2. 1. 4)
<io) -0.0554012_* [H+l= 10 -7
[H+l= lo-7+0.0554012 = <1.13606> c10)-1 YoH [OH-] YH [H+] = Kw (Ref. 2 . 1. 4) y 08 [0H-l= (1.0122) (10)- 14 (10) 7 = (1.0122) (10)- 7 (10) - 0* 0689112 [OH-]= (1. 0122) (10) - 7 [OH-],,;, (1. 0122) (10) - 7+0-0689112 = :(1.18625) (10) - 7 I
- i
l PALISADES NUCLEAR PLANT EA-FC-949-01 Rev 3 Sheet C24 (2) Assume a TSP auantity of 0.0052588359 lb Total mass of boron is M8 = M., ppm /10 6 = (2 .19844) (2833) / (10) 6
= 0. 0062281805 lb Total final mass of water is /.
M.,,final= M.,,initial + MTSP (MWw/MWTSP) M.,,final= M.,,initial +* MTSP (180/354
- 09)
M.,,final= 2 .19844+0. 0052588359 (180/354. 09) = 2. 2011133 lb Total final volume of water is Vw, final= M.,, final/ Pw vw,fina1= 2. 2011133/62. 253= 0. 035357546 ft 3 = 1. 0013251 liters Concentration of boron is Molality8 = M8 / (Vw;final MWa) Molality8 = (0
- 0062281805) (453. 6) I ( (1. 0013251) _(10. 81))
Molality8 = 0.260996 grammole/liter Concentration of TSP is MolalityTSP = MTsP/ (Vw,final MWTSP) MolalitYTsP = (0. 0052588359) (453. 6) I ( (1. 0013251) (354. 09)) MolalityT~P = O. 00672783 grammole/liter The dissociation constants of phosphoric acid are pK 1 = 583.01/T - 2.715 + 0.009801 T (Ref . 2 . 1 . 6 ) pK 1 ~ 583 .'q~/298 .15--2. 715+ (0. 009801) (298 .15) pKi = 2 .16259**. K1 = 10* 2 - 16259 - = (6.877122)_(10)" 3 PK2 = 1272.7/T - 1.154 + 0.01368 T (Ref. 2. 1. 6) 1212.1/298.15 .:. 1.154 + co.01368) (298.15)
- 7.193349 K2 = 10* 1
- 19330 = ( 6. 406950) ( 10) -a pK3 *= 12.36 * (Ref. 2;1.4) 12 36 13 K3 = 10* * = (4. 36516) (10)-
PALISADES NUCLEAR PLANT EA-FC-949-01 Rev 3 Sheet C25 (3)Assume H3P0 4 concentration of (4.14553779) (10)- 0 grammole/liter The equilibrium quantities of phosphoric acid- species are YH2Po4 [H2P04-] YH [H*J I YH3Po4 [H3P04] == K1 (Ref. 2. 1. 4) (0-. 856216) [H 2P0 4-] (10)- / ( (1) (4 .14553779) (10)- = (6. 877122) (10) -3 7 8 [H 2P0 4-]= (6.877122) (10)- 3 (1) (4.14553779) (10)- 8 /((0.856216) (10)- 7 ) [H 2P0 4-]:::: (3.3296922) (10)- 3 _ YHP04[HP04--] YH[H+] I YH2P04[H2P0 4-] = K2 (Ref. 2.1.4) 7 (0.537444) [HP0 4--] (10)- /((0.856216) (3.3296922) (10)- )= 3 (6.406950) (10)- 8 [HP0 --]= (0.856216) (3.3296922) (10)- 3 (6.406950) (10)- 8 / 4 ( (0. 537444) (10) - 7 ) [HPQ 4 --] = (3. 3986442) (10) -3
~
Yp04[P04 ___ ] YH[H*] I YHP04[HP0 4--l = KJ: (Ref. 2.1.4) (0. 247315) [P0 4___ ] (10)- 7
/ (
0 3 (0. 537444) (3. 3986442) (10) - ):::: ( 4 . 3 6 516) (10) -l 3 [P0 4 ___ ]= (0.537444) (3.3986442) (10)- 3 (4.36516) (10)- 13 /
- - ( ( 0 . 2 4 7 315) ( 10) - 7 )
[P0 4___ ] = (3 .2239590) (10)- 8 TSP concentration based on the above quantities is MolalityTSP = [H3P04] + [H2P04 -1 + [HP04--1 + [P04--"] MolalitYTsP= (4 .14553779) (10)
- 0 + (3. 3296922) (10) -3+ (3. 3986442) (10) -3+
(3. 2239590) (10)- 8 MolalitYTsP= 0. 006728410 grammole/liter Error due to assumption- (3) above is Error = (0. 006728410-0. 00672783) (100) /0. 00672783= 0. 0085% Therefore,_ as-sumption (3) above is verified. The molal equilibrium quotients of boric acid are log Ql,l = 1573.21/T + 28.6059 + 0.012078 T - 13.2258 log T + (0.3250 - 0.00033 T) I - 0.0912 ILS log Q2,l :::: 27561.1/T - 18.966 + 5.835 log T log QJ,l :::: 3339.5/T - 8.084 + 1.497 log T log Q4,2 :::: 12820.0/T -134.56 + 42.105_ log T (Ref. 2.1.5)
PALISADES NUCLEAR PLANT EA-FC-949-01 Rev 3 Sheet C26 log Q 1 , 1 = 1573.21/298.15+28.6059+(0.012018) (298.15)-
. ( 13 . 2 2 5 8 ) ( 1 og 2 9 8 . 15 ) + ( 0 . 3 2 5 0 - ( 0 . 0 0 0 3 3 ) ( 2 9 8 . 15 ) ) ( 0 . 0 2 5 4 3 0 9) -
(0.0912) (0.0254309)1.S log Q 1 , 1 = 4. 76254196 Q1,1= 57881.79 log Q 2 , 1 = 2756 .1/298 ..15 - 18. 966 + 5. 835 log 298 .15 log Q2 , 1 = 4. 7163 Q2. l = 52 03 9
- 3 5 1 og Q3
- 1 = 3 3 3 9 . 5 I 2 9 8 . 15 - 8 . O8 4 + 1. 4 9 7 1 og 2 9 8 . 15 log Q3 , 1 = 6. 8210 Q3,l = 6621658. 8 log Q4 , 2 = 12820. 0/298 .15 -134. 56 + 42 .105 log 298 .15.
log Q4 , 2 = 12. 625 Q4,2 .= (4.2128) (10 ) 12 (4) Assume H3 B0 3 concentration is 0. 229606599 grammole/liter The equilibrium quantities of boric acid species are [B(OH)4-] I [B(OH)3] [OH-] = Ql,l [B2(0H)7-] I [B(OH)3] 2 [OH-] = Q:z,l [B3 (OH) 10-] I [B (OH)~] 3 [OH-] = Q3,l . [B4(0H) 14 --] I [B(OH) 3 ] 4 [OH-]2 = Q4, 2 (Ref. 2.1.5) 0 7 [B(OH) 4 -] = (57881.79) (0.229606599) (1.18625) (10)- [B(OH) 4 -] = (1.57653) (10)- 3 [B 2 (0H);:-] = (52039.35) (0.229606599) 2 (1.18625} (10).- 7 [B 2 (OH) 7 -] ::;: '(3. 25446) ( 10) -4 [B 3 (0H) 10 -] = (6621658.8) (0.229606599) 3 (1.18625) (10)- 7 [B3 (OH) 10-] - ~-: (9. 508152) cio) -3 [~ 4 .C9H) 14 --] = (4-.2128) (10 ) (0.229606599) ((1.18625) (10)- ) 12 4 7 2 [B 4 (0H) 14 --] = (l.64765) (10)- 4 Boron concentration based on the above quantities is MolalityB.;, [B (OH) 3] + [B (OH) 4-] +2 [B2 (OH) 7-] +3 [B3 (OH) 10-] +4 [B4 (OH) 14--] Molality8 =(0.229606599)+(1.57653) (10)- 3 +(2) (3.25446) (10)- 4 + ( 3 ) ( 9 . 5 0 815 2 ) ( 10) -3 + ( 4) ( 1. 6 4 7 6 5) ( 10) -4
PALISADES NUCLEAR PLANT EA-FC-949-01 Rev 3 Sheet C27 Molality8 =0.2610175 grammole/liter Error due to assumption (4) above is Error = ( 0 . 2 610 1 7 5 - 0 . 2 6 0 9 9 6 ) ( 10 0 ) I 0 . 2 6 0 9 9 6 = 0 . 0 0 8 3 % Therefore. assumption (4) above is verified. Na concentl:'.ation is ---* [Na+]= (13/4) (MolalityTSP). = (3 .25) (MolalityTSP) [Na+]"= (3. 25) (0 ._0_06728410) [Na+]= 0.021867 grammole/liter Borated water charge balance error, CBEB, is CBEB= [H*] - [Off] - [B (OH) 4 -] - [B 2 (OH) 7
-] - [B 3 (OH) 10
-] -2 [B 4 (OH) 14
--]
7 7 3 CBEB= (1.13606) (10)- - (1.18625) (10)- - (1. 57653) (10)- - (3 .25446) (10)~ 4 -(9.508152) (10)- 3 '."'(2) (l.64765) (10)- 4 CBEB=-0.0117397 Trisodiuin phosphate charge balance error, CBEP, is CBEP= [Na+] - [H 2 P0 4 -] -2 [HP0 4 --] -3 [P04 ___ ] CBEP= (O. 021867) - (3. 3296922) (10) (2) (3. 3986442) (10) ( 3) ( 3 . 2 2 3 9 5 9 0) ( 10) -.a CBEP=0.0117399 Charge balance error, _CBE, due to assumption (2) above, is CBE=abs(CBEB+CBEP)/((abs(CBEB)+abs(CBEP))/2) CBE=abs (-0 .. Oil 7397+0. 0117399) I ((abs (-0*. 0117397) +abs (0. 0117399)) /2) CBE;,. (2. 0) (-l~)- 1 / (0. 0117398) CBE= (1. 7) (10) -s Therefore. Assumption (2) above is verified The ionic strength of the solution is I = (cl Z1 2 + C2 z/ + *....*.. + en Zn2 ) /2 (Ref .. 2 . 1. 4) I = ([Na*]+ [H*] +[OH-]+ [H 2 P0 4 -] + [HP0 4 --] (2) 2 + [P0 4 ___ ] (3) 2 + [B (OH) 4 -] +
- [B 2 (OH) 7 -1 + [B 3 (OH) 10 -1 + [B4 (OH) 14 --1 ( 2) 2 ) / 2
PALISADES NUCLEAR PLANT EA-FC-949-01 .Rev 3 Sheet C28. I= ((0.021867)+(1.13606) (10)- 7 +(1.18625) (10)- 7 +(3.3296922) (10)- 3 + (3.3986442)(10)- 3 (4)+(3.2239590) (10)- 8 (9)+(1.57653) (10)- 3 + - ( 3 . 2 5 4 4 6 > ( 1 o > - 4 + ( 9 . 5 o815 2 > ( 1 o> - 3 + ( 1 . 6 4 7 6 5 > ( 1 o > - 4 ( 4 > > I 2 I = 0.0254309 Error due to assumption (1) above is Error= (0.0254309-0.0254309) (100)/0.0254309 = 0.000%. Therefore. assumption (1) above is verified. Based on the above, assumptions 1 through 4 are verified, and the commercial TSP quantity required to raise the pH of t_he solution to-
- 7. 0 is 0.0052588359 lb.
Case D: -*; 2 .19844 lb of water wi.th 1478 ppm boron, at* 77 °F (298 .15 K), is considered. The commercial TSP quantity required to raise the pH of .. -., th~ solution to 8.0 is calculated as follows: The approximate effective ionic radii of H+ and OH- in aqueous solutions are 9. O A and 3. 5 A respectively, and that* of H2 P0 4 - , HP0 4 -- and P0 4 ___ is 4. O A. (Ref. 2 .1. 4) At 77 °F, the density of water, Pw' is 62.253 lb/ft 3 * (Ref. 2.1.2) At 77 °F, -th_e_ constants_ A and B in the Debye-Hiickel equation are 0.5115 and:':*a.-32"91 respectively.. (Ref. 2.1.4) (1) Assume a solution ionic strength. I. of 0. 056256. The individual activity_coefficient~ yi,*is 2 0 5 0 5
-log Yi = (A Zi I * ) / (l+ (B Ai I * )) (Ref. 2. 1. 4)
The activity coefficient of H+, YH* is
- 1 og y H= ( O
- 5 115 ) ( 1 ) 2 ( O
- O5 6 2 5 6 ) 0
- 5 / ( 1 + ( O
- 3 2 91 )" ( 9 ) ( o . O5 6 2 5 6 ) 0
- 5 )
PALISADES NUCLEAR PLANT. EA-FC-949-Ql. Rev 3 Sheet C29 log YH= -0.071259 YH= 0. 848674 The activity coefficient of OH-, YoH* is 2 0 5 0 5
-log YaH=(0.5115) (1) (0.056256) * /(1+co.3291) (3.5) (0.056256) * )
log Y~= -0.095287
- YoH= 0
- 8 0 2 9 9 5 The activity coefficient of H 3P04 , y~P04' is 2 0 5 0 5
-log Ym*ci.4=(0.5115) (0) (0.056256) * /(l+(0.3291) (4) (0.056256) * )
log YH3P04= o . The activity_ coefficient of H 2 P04-; YH2 P04, is
-1 og y ~2 P04 = co . 5115 > c1) co . o 5 6 2 5 6) 2 0 5
I c1 + co . 3 2 91) c4 > co . o5 6 2 5 6) 0
- 5 >
log YH2P04= - o. 092453 YH2P04= 0. 808253 The activity coefficient of HP04--, yHP04, is
- 1 og y HP04 = ( 0 . 5 115 ) ( 2 ) 2 ( O . O5 6 2 5 6 ) 0
- 5 / ( 1 + ( O . 3 2 91 ) ( 4 ) ( O . O5 6 2 5 6 ) 0
- 5 ) .
log YHP04= -0. 36981 YHP04= 0. 426765 The activity coefficient of Po.. ---, y~, is 0 5 0 5
-log YP04=(0.5115) (3) 2 (0.056256) * /(l+(0.3291) (4) (0.056256) * )
log YP04= -d,~ 83208 YP04= O .147205"_.
*-"~- ---.
The ionic activity product constant of water,-Kw, is Pl<w= 4470.99/T - 6.0875 + 0.01706 T (Ref. 2.1.3) Pl<w= 4470.99/298.15 . :. 6.0875 + (0 .. 01706) (298.15) Pl<w= 13. 9947 Kw= lo-13.9947 = ci. o122> c10>_-14 The equilibrium quantities of H+ and OH- are
PALISADES NUCLEAR .PLANT EA-FC-949-01 Rev 3 Sheet C30 Y" [H*J = io-p" (Ref. 2.1.4) (lO) -0.011259 [H*J = 10 -0 [W]= io- 0
- 0
- 011259 = (1.17831) (10)- 0 YoH [Off] YH [H+] = K..., (Ref . 2 . 1. 4 )
14 8 6 YoH[Off]= (1.0122) (10)- (10) = (1.0122) (10)- (10)- 0
- 095287 [OH-]= (1. 0122) (10) -6
[OH-]= (l.0122) (l0)- 6 +0.0 95297 = (1.2605) (10)- 6 (2) Assume a TSP quantity of 0.01042186 lb Total mass of boron is Me= Mw ppm /10 6 = (2 .-19844) (1478) /(10) 6
= 0. 00324929 lb Total final mass of water is Mw,final= Mw,initial + M.rsp(MWw/MWTsP)
Mw,fina1= M.;,,initial + M.rsp (180/354
- 09)
Mw,final= 2 .19844+0. 01042186 (180/354. 09) = 2. 203738 lb Total final volume of water is Vw;final = Mw,final/ Pw vw,fina1= 2.203738/62.253= 0.0353997 ft 3 = 1.0025197 liters Concentration of boron is Molalitye = Me/ (V.,,final MWe) Molalitye = (0. 00324929) (453. 6) / ( (1. 0025197) (10. Bl)) Molalitye =* 0 .13600 grammole/liter Concentration. of TSP is MolalitYTsP = MTSP/ (Vw,final MWTsP) MolalitYTsP = (0. 01042186) (453. 6) I ( (1. 0025197) (354. 09)) MolalitYTsP = 0. 0133172 grammole/liter The dissociation constants of phosphoric acid are pK 1 = 583.01/T - 2.715 + 0.00.9801 T (Ref. 2.1.6) pKl = 5 8 3 . 01I2 9 8 . 15 - 2 . 715 + ( 0 . 009801) ( 2 9 8 . 15 )
- PALISADES NUCLEAR PLANT pK 1 = 2 ..16259 ***
K1 = l0- 2* 16259 = ( 6. 8 77122) ( 10) -3 EA-FC-949-01 Sheet*. C31 Rev 3 pK2 = 1272.7/T - 1.154 + 0.01368 T (Ref. 2.1.6) . pK2 = 1272.7/298.15 - 1.154 + (0.01368) (298.15) pK2 = 7 .193349 K2 = l0- 1
- 193349 = (6 .406950) (10) -e pK3 = 12.36 (Ref. 2.1.4)
K3 = 1 0 -12
- 36 = ( 4 . 3 6 5 16 ) ( 1 0 ) -13 (3) Assume H3P0 4 concentration of (1.19162) ( 10} - 9 grammole/liter The equilibrium quantities of phosphoric acid species are YH2P04 [H2Po4 -1 YH [H*1 / YH3P04 [H3Po41 = K1 <Ref. 2. i . 4 >
(0.808253} [H 2P0 4 -] (10)- /({l) (1.19162) (10)- = (6.877i22) (10)- 3 8 9 [H 2 P04-]= (6.877122) (10)- 3 (1) (i.19162) (10)- 9/((0.808253) (10)- 8 ) [H P0 ~] = (1. 013905) (10) -3 2 4 YHP04[HP0~--1 y 8 [H+] I y~2 P04[H 2 P0 4 -] = K2 (Ref. 2.1.4) (0 .426765) [HP0 4--] (10) -e; ((O. 808253) (1. 013905) (10) - 3
) =
(6.406950) (10)-B [HP0 4--]= (0.808253) (1.013905) (10)- 3 (6.406950) (10)- 8 / ((0.426765) (10)- 8 ) [HP0 4:__ ] = (1.230289) (10)- 2* Y~04 [P0 4 ~"-] YH [H+] I YaP04 [HP0 4 --1 = K3 (Ref. 2. 1. 4) (0.147205) [P04 ___ ] 9 2 (10)*- /((0.426765) (1.230289) (10)- )= (4.36516) (10)- 13 [P0 4 ---1= (0_.4267_65) .(1.230289) (10)- 2 (4.36516) (10)~ 13 /( (0.147205) (10)- 8 )
- . '.' --=-- ~
TSP conceni:t*at'i.on based on the above quantities is Molality~P ='=. [H3P0 4 ] + [H 2 P0 4 -) + [HP04 --] + [P04 ---1 . MolalitYTsP= (1.19162) (10) - + (1. 013905) (10)- 3+9 (1.230289) (10)- 2+(1.556847) (10)- 6 MolalityTSP= 0.0133184 grammole/liter Error due to assumption (3) above is Error = (0.0133184-0.013~172) (100)/0.0133172= 0.0090%
PALISADES NUCLEAR PLANT EA-FC-949-01 Rev 3 Sheet C32 Therefore 1 assumption (3) above is verified-. The molal equilibrium quotients of boric acid are log Ql,l = 1573.21/T + 28.6059 + 0.012078. T - 13.2258 log T + 1 5 C0.3250 - 0.00033 T) I - 0.0912 I
- log Q 2 , 1 = 27561.1/T - 18. 966 + 5. 835 log T 1 og Q3 , 1 = 3 3 3 9 . 5 IT - 8 . O8 4 + 1 . 4 9 7 1 og T log Q4 , 2 = 12820.0/T -134.56 + 42:105 log T (Ref. 2.1.5) log Q1 , 1 = 1573.21/298.15+28.6059+(0.012078) (298.15)-
( 13 . 2 2 5 8 ) ( 1 og 2 9 8 . 15 ) + ( O . 3 2 5 0 - ( O . OOO3 3 ) ( 2 9 8 . 15 ) ) ( 0 . O5 6 2 5 6 ) - 1 5 (0.0912) (0.056256)
- log Q1 , 1 = 4. 76868 Q1,1= 58705. 6 log Q2 ' 1 =. 2756.1/298.15 - lS.966 + 5.835 log 298.15 log Q~. 1 = 4. 7163.
Q2' l = 52 03 9 . 35 log Q3 , 1 = 3339. 5/298 .15 - 8. 08_4 + 1.497 log_ 298 .15 log Q3 , 1 = 6. 8210 Q3. l = 6 6 2 16 5 8 . 8* 1 og Q4 , 2 = 12 8 2 O . OI 2 9 8 . 15 - 13 4 . 5 6 . + 4 2 . 1O5 1 og 2 9 8 . 15 log Q4 , 2 = 12. 625 Q4,2 = (4.2128). (10 12 ) (4) Assume H3 B03 concentration is O. 0997863 grammole/iiter The equilibri~m ~ant.it-ies of boric acid species are
..... - ~*-'
[B(OH) 4 -] /.~ _[J3_(0H)' 3] [OH-] = Q1 , 1
.[B2(0H),-] /;/'~-[B(OHr 3 J 2 [OH~] = Q2, 1
[B3 (OH) 10 -1 I. [B (OH) 3] 3 [OH-] = Q3 .. l . [B 4 (OH) 14 --l ( [B (OH) 3] 4 [OH-] 2 * = Q4 ,:z (Ref. 2. 1. 5) [B(OH) 4 -] = (58705.6) (0.0997863) (1.2605) (10)- 6 * [B(OH) 4 -] = (7.38403) (10)- 3 [B 2 (0H),-] = (52039.35) (0.0997863)- 2 (1.2605) (10)- 6 [ B2 ( OH) 7- ] = (6 . 5 3 15 5 ) ( 1 0 ) - 4 [B 3 (0H) 10 -J" = (6621658.8) (0.0997863) 3 (1.2605) (10)- 6
PALISADES NUCLEAR PLANT EA-FC~949-01 Rev 3 Sheet C33 [B 3 (0H) 10 -] .;,_(8.29321) (10)- 3 [B 4 (0H) 14 --] = (4.2128) (10 12 ) (0.0997863) 4 ((1.2605) (10)- 6 ) 2 [B 4 (OH) 14 --l = (6. 63652) (10) -4 Boron concentration based on the above quantities is Molali ty8 =_ [B (OH) 3] + [B (OH) 4 -1 +2 [B 2 (OH) 7 -1 +3 [B3 (OH) 10 -] +4 [B 4 (OH) 14 --] Molality8 =(0.0997863)+(7:38403) (10)- 3+(2) (6.53155) (10)- 4 + ( 3 ) ( 8 . 2 9 3 21 ) ( 10 ) -l + ( 4 ) ( 6 . 6 3 6 5 2 ) ( 10 ) -4 Molality8 =0.13601 grammole/liter Error due to assumption (4) above is
- Error =- (0 .13601-0 .13600) (100) /0 .1360_0 = O. 0074%
Therefore, assumption (4) above is verified.
.\
Na concentration is [Na+]= (13/4) (MolalityTSP) = (3. 25) (MolalitY-rsp)
*.[Na+]= (3. 25) (0. 0133184)
_[Na+]= 0.043285 grammole/liter Borated water charge balance error, CBEB, is CBEB= [H*] - [OH-],_ [B (OH) 4 -] - [B 2 (OH) 7 ~] - [B 3 (OH) 10
-]-:-2 [B 4 (OH) 14
--]
CBEB= (1.17831) (10) -e_ (1.2605) (10) (7. 38403) (10) (6. 53155) (10) (8 .29321) c10)- 3 -*c2> <6.63652> c10>- 4
. CBEB=-0,0176590
. Trisodium pp.c)sphate*- charge balance error, CBEP, is . -_ CBEP= [NCS:~f~.?[k~P04 "'l--2 '[HP0 4 ~-] -3 [P04 ----] cBEP= <o :04:j:2-s*5.-):- ci .. 013905> cio> c2> ci.230209> c10> (3) (1.556847) Cio)- 6 CBEP=0.0176606. Charge balance error,._ CBE, due to assumption (2). above, is CBE=abs(CBEB+CBEP)/((abs(CBEB)+abs(CBEP))/2) CBE=abs(-0.0176590+0.0176606)/ ((~bs(-0.0176590)+ahs(0;0176606))/2)
PALISADES NUCLEAR PLANT EA-FC-949-01 Rev 3 Sheet C34 CBE=(l.6) (10)- 6 /(0.017660) CBE= ( 9. 1) ( 10) -s Therefore. Assumption (2) above is verified The ionic strength of the solution is I = (C 1 Z 1 2 + C 2 Z 2 2 + ....... + Cn Zn2 ) /2 (Ref. 2. 1. 4) I= ([Na+]+[H+]+[OH-]+[H2 P0 4 -]+(HP0 4 --] (2) 2 +[P0 4 ___ ] (3) 2 +[B(OH) 4 -]+ -- . 2 [B 2 (OH) 7
-] + [B 3 (OH) 10 -] + [B 4 (OH) 14
--] (2) ) /2 I= ((.043285)+(1.17831) (10)- +(1.2065) (10)- 6 +(1.013905) (10)- 3 +
8 (l.230289) (10)- 2 (4)+(1.556847) (10)- 6 (9)+(7.38403) (10)- 3 + ( 6 . 5 3 15 5 ) <1 o ) -4 + <8 . 2 9 3 21 ) <1 o) -3 + <6 . 6 3 6 5 2 ) <1 o) -4 <4 ) ) I 2 I = 0.056256 Error due to assumption (1) above is Error = (0. 056256-0. 056256) (100) /0. 056256 = 0. 0% Therefore. assumption (1) above is verified. Based on the above, assumptions 1 through 4 are verified, and the commercial TSP quantity required to raise the pH of the solution to 8.0 is 0.01042186 lb. C5.2.3 Evaluation of pH Test Results The results of the pH test are provided in Reference C.2.1.2 (design in};?ut_C.2.2.2). The pH* test was performed using the commerciaL.grade- TSP manufactured by Monsanto. The test results are in agreeni~~f.'*:~ith. the _commercial TSP quantities determined in Cases A and B abeye> Therefore, no correction is required for the calculated values; C5.2.4 Dissolution Time In the main body of the calculation, a parametric analysis is performed to determine the required quantity of pure TSP as a function of the sump temperature and the equilibrium pH, for both
PALISADES NUCLEAR PLANT EA-FC-949-01 Rev 3
- Sheet c3s the maximum*c.and the minimu~ quantities of boron and borated water.
The results of that parametric analysis show that_ the maximum quantity of pure TSP required to raise the sump pH to 7.0, for the case of maximum boron and borated water quanti.ties (104i2 lb TSP), is more than six times the maximum quantity of pure TSP required to raise the sump pH to 7.0, for the case of minimum boron and borated water quantities (1542 lb TSP) . It is assumed that the above trend is valid for the commercial TSP as well. Therefore, the dissolution analysis performed in t~is appendix can be based upon the case of maximum boron and borated~ water quantities. For conservatism, the analysis is based upon the .minimum sump temperature and the corresponding quantity of.borate~. water after a large break LOCA, with all containment spray pumps '~ operating .
. .This is less .
than the maximum water quantity considered\** -::] in the pH analysis. Also, for conservatism, the dissolution. analysis is based upon the_ maximum quantity of commercial TSP
- required to raise *the sump pH to 7.0. This is 8246 *lb of commercial TSP {Section C5.2.1).
The minimum sump temperature and the corresponding quantity of borated water after a large break LOCA are provi~ed in Reference c2 .. 1.4 (design input. C2.2.4) for bqth the existing and the new containment air coolers. Both cases are considered in the dissolution*' analys-is*
.. For both cases. I the minimum* sump temperature is higher. thiln,-.:~IOO: °F_: throughout the dissolution time*. However, for conservati~,~~~;~~1:.-~e' dis*s~ol~tion analysis is b~sed upon. a water den~ity o:f::*'~?*;-~b/ft< This is the density of water at 100 °F, and would resuI.t'. in a lower flood level . .The results.of the TSP: dissolution test are_provided in Reference C2;1.2 (design. input C.2.2.2). The dissolution. test was performed.*
using caked TSP in a 2833 ppm B solution. The density of the TSP used in. the test ranges from.45.2 lb/ft 3 to 51.0 lb/ft 3
- However, for conservatism, a density range of 4S lb/ft 3 to 54 lb/ft 3 is .used
PALISADES NU~LEAR PLANT. EA-FC-949-01 Rev 3 Sheet C36 in.the analysis .
*Based on Reference c. 2 . 1. 3 (design input C2 . 2 . 3) , - the containment flood level, h, following a LOCA is
- 1. i 8 8 h 3 + 2 2 . 5 4 7 h 2 + 7 4 61. "7 6 7 h + 29 3 8 . 3 16 = v w where h is in ft and* Vw is the volume of water in ft 3
- Based on Reference C2 .1. 5 (design input C2. 2. 5) , the basket size is
- 2. Ox2. Ox3. 0 ft. The TSP volume, VTsP* is (LTsP) 2 <RrsP> where LTsP is the*
basket side length and HTSP is the height of TSP ~n the basket, . respectively. Based on design input 2.2.3 and assumptions 3.1.i and 3.1.2, a dissolution time.of 20 minutes is considered in the
-dissolution analysis.
The time, t 1, at which the *water level reaches the bottom surface; of. the TSP basket is determined based on the time dependen~ water> .
- level, as well as .
*the spacing, basket bottom surface. No dissolution. is considered throughout this time period~ t<t 1 ,
water and the TSP~ h , between- the sump floor and the
. 1 .
since there is no contact between the borated The time, t 2 , at.which the w~ter level reaches the top. surface.of the TSP is de_term_ined based. on the tim_e-dependent water l_evel ! as well. as the time:..deP.endent height _of TSP, ~P*- Throughout this time
*period,. ti.<t<t:i, _the rate of change . in the TSP m?lSS_,. dMTSp/dt-, is c~iculatec:l~is~:
*f:oilow*s:*.--'
' ~. . *' -~..~~2~*>.: .,.:; ~- -_. z ,,_ -
* - (mass* ~hiii~~'..'.:~ate)*= (~urface area) (surface dissolution rate).
The wetteJ~i~urf~ce area, at any instant of time, is A= (area 6,f: bottcmi su_rface) + (perimeter)'(wetted height) A*:::: (LTSP) 2 + (4LTsP} (h-h1) and the rate of change in*.TSP mass is
. -dM'rsp/dt = ( (LTSP) 2 + (4LTSP) (h-h 1 ) ) (SDR).
-* As the borated water level exceeds the height of TSP, RrsP* all six*
PALISADES NUCLEAR PLANT EA-FC-949-01 Rev 3 Sheet C37 surfaces of the TSP volume will be wetted, and the.rate of change in TSP mass, dMTsP/dt, is calculated as follows.
-(mass change ~ate)=(surface area) (surface dissolution rate) -d.MTsp/dt = (2 (LTSP) 2 +4LTspHTSP) (SDR)
- The above equations governing the rate of change in TSP mass, throughout the entire dissolution period, are solved numerical"ly using the one-shot computer program DISS that has been developed specifically for this dissolution analysis. The dissolution time is determined for different density values within the range of 45.
lb/ft 3 to 54 lb/ft 3
- The computer output for all cases considered above is included in Appendix E ..
PALISADES NUCLEAR PLANT EA-FC-949-01 Rev 3 Sheet C38 (it.JAL- of APPe1\l~J~ C, C6. 0 CONCLUSION. C6.1 Summary of Results The results of the analyses performed in this appendix show that a quantity of commercial TSP within the range of 8246 lb to 11016 lb would maintain the sump pH value within the r~nge of. 7. 0 to 8. 0 for both the maximum and the minimum quantities of boron and borated water in the sump. This is based upon the commercial TSP manufactured by Monsanto, Reference C2.l.1. The results also show that, for both the existing*and the new containment air co9lers and for* a TSP density within the range of": 45 to 54 lb/ft 3 , the dissolution time is less than 13 minutes. Thi~ is based upon the finalized TSP basket design, Reference C2 .1. 5, '" '- and on the maximum quantity of commercial TSP t_hat would raise the sump pH to 7.0. This is 8246 lb of commercial TSP. C6.2 Conclusions Based on Reference C2.l.5, the TSP basket size is 2.0x2.0x3.0 ft and the basket bottom surface is 0.5 ft above the .sump floor. The total. number of baskets is 20. These.are located according to the drawings in Reference C2 .1. 5. This. design meets the requirem.ents
- determined in this appendix, regarding sump pH and dissolution time,. *as we).l as the recommendations _provided in the main body of
~: . *. --:. - .
the calculation,- regarding basket location .
PALISADES NUCLEAR PLANT EA-FC-949-01 Rev 3 Sheet Dl APPENDIX D VALIDATION OF COMPUTER PROGRAM (DISS)
PALISADES NUCLEAR PLANT EA-FC-949~01 Rev 3 Sheet Dla. VALIDATION CERTIFICATION SOFTWARE TITLE: ~TSS
~-=.=-:_w:_~=- -=~
VALIDATED BY: REVIEWED BY: APPROVED BY: ...
'::_-::_* ..::_-:.=:*==- -:_=_-==--==--==--==--= ::: . ~-
METHOD OF VALIDATION: - A hand calculat.ion is performed in order to validate the computer program developed for this analysis. The results of the hand -. calculation are compared with those obtained using the compute~ program for a typical case. VALIDATION DOCUMENTS: Listing of computer program Computer run for validation.case hand calculation for validation case All above documents are included in this.appendix, Appendix D.
c TSP DISSOLUTION TIME PALISADES NUCLEAR PLANT. c EA-FC-949-01 Rev 3 Sheet D2 IMPLICIT REAL . *8 (A-H, 0-*Z)
*REAL *8 M,MI ,MF
. INTEGER *4*0PTN DIMENSION TTIMEX (200 ). I TTEMPY (200) I TVOLY (200)
- DIMENSION :riTEMPX ( 2 0 0) TSDRY ( 2 0 0)I CHARACTER *60 TITLE OPEN(UNIT=8,FILE='DISS7.DAT')
OPEN(UNIT=10, FILE='DISS.7 .OUT')
. READ ( 8 100) TITLE I
READ(8,*)TF,Hl,SL,HTSP,RO,DT,NCOUNT READ(8,*)CNSTA,CNSTB,CNSTC,CNSTD READ(8,*)0PTN,NTEMP,NSDR IF(OPTN.NE.O) THEN READ(8,*)COEF1,COEF2,COEF3 DO 13 I=l,NTEMP READ ( 8 I . * ) TT I MEX ( I) i TTEMPY (I) I TVOLY (I) TTEMPY(I)=COEFl*TTEMPY(I)
- TVOLY(I)=COEF2*TVOLY(I) 13 CONTINUR DO 15. I=l, NSDR READ ( 8, *) TTEMPX (I) TSDRY( I) I TSDRY(I)=COEF3*TSDRY(I) 15 CONTINUE . *~ \
ENDIF. WRITE(lO,lOO)TITLE . .. _ . WRITE ( 10 I * ,., _*_. - - - --- - - - - - .:. - - - - - .:. - - - - - _-_ - - - - - ~ - - - - - - - - -*- - ..: ... - - - - - - - :- I WRITE(lO,lOl)'Side length of TSP basket, ft _:_',SL WRITE(lO,lOl)'Height of TSP, ft = ';HTSP WRITE(lO,lOl)'TSP bulk density, lb/cuft - =',RO WRITE(lO,lOl)'Spacing between basket and sump floor, ~t = ',Hl WRITE(lO,lOl)'Time step used in computations, sec* - '~DT WRITE(10,105)'Constant A (flood level equation)* = ',CNSTA WRITE(10,105)'Constant B (flood level equation) = ',CNSTB WRITE(10,105)'Constant c (flood level equation). = ',CNSTC WRITE ( 10, 105) 'Constant D .. (flood level equation) ' , CNSTD WR'rTE ( J, 0, *) I - - - - - - - "."' - - - - - -:- - - - ..: - - "'.' - - .:. - - - - - - - - - - - - - - - - - :- :.. - - - .:. ... - - ..; - I WRITE ( 10 * ) .I
&' Time, Mass of * - Volume of Level of Temp; *
- SDR, M
&ass of ' .*:-
WRITE (10, ):0/'>--'*-'":c~ - ._ ._ .
&' sec . _w?i;.terc,-1b* water ,-ft3 water, ft deg F lb/sec/ft2 *
&TSP I lb -' . ':~ ~: - -
WRITE(lO,'I() :>*- MI=RO*SL**2*HTSP M=MI H2=H1+HTSP H=Hl GOTO 21 20 N=N+l T=T+DT
PALISADES NUCLEAR PLANT EA-FC-949-01 Rev 3 21 IF(T.LE.TTIMEX(l)) TEMP=TTEMPY(l) Sheet 03 IF(T.LE.TTIMEX(l)) VOL=TVOLY(l) DO 22 I=2,NTEMP IF((T.GE.TTIMEX(I-1)) .AND. (T.LE.TTIMEX(I))) THEN TEMP=TTEMPY(I-1)+
&(T-TTIMEX(I~l))*(TTEMPY(I)-TTEMPY(I-1))/(TTIMEX(I)-TTIMEX(I-1))
VOL=TVOLY(I-:-1)+
&(T-TTIMEX(I-l))*(TVOLY(I)-TVOLY(I-1))/(TTIMEX(I)-TTIMEX(I-1))
END IF 22 CONTINUE IF(T.GE.TTIMEX(NTEMP)) TEMP=TTEMPY(NTEMP) IF(T.GE.TTIMEX(NTEMP)) VOL=TVOLY(NTEMP) VOL=VOL/62 IF(TEMP.LE.TTEMPX(l)) SDR=TSDRY(l) DO 24 I=2,NSDR ~-** IF((TEMP.GE.TTEMPX(I-1)) .AND. (TEMP.LE.TTEMPX(I)))
&SDR=TSDRY(I-1)+ &(TEMP-TTEMPX(I-1) )*(TSDRY(I)-TSDRY(I-1))/(TTEMPX(I)-TTEMPX(I-1))
24 CONTINUE IF(TEMP.GE.TTEMPX(NSDR)) SDR=TSDRY(NSDR) GOTO 31 30 H=H*VOL/VV 31 VV=CNSTA*H**3+CNSTB*H**2+CNSTC*H+CNSTD ERR=(VOL-VV)*lOO/VOL IF(ABS(ERR) .GT.0.001) GOTO 30 IF(H.LT.Hl) GOTO 50 IF(H.GT.H2) GOTO 40 DMDT=-(SL**2+4*SL*(H-Hl))*SDR GOTO 50 40 DMDT=-(2*SL**2+4*SL*HTSP)*SDR 50 M=M+DT*DMDT HTSP=(M/RO)/(SL**2) H2=Hl+HTSP IF(T.LE.TF) MF=M IF(M.LE.0.0001) THEN M=O~ IF(T.LT.TF) MF=O. GOTO 60 END IF IF (N. EQ. NCOUNT)- -THEN WRITE(10,102')_T,VOL*62,VOL,H,TEMP,SDR,M N=O .. , END IF GOTO 20 60 CONTINUE WRITE(l0,102)T,VOL*62,VOL,H,TEMP,SDR,M WRITE(lO,*) '--------------~--------------------------------------' WRITE(l0,101) 'Initial mass of TSP, lb = ',MI WRITE(l0,101) 'Undissolved TSP'mass at 20 min, cuft _ = ',MF WRITE(l0,101) 'Fraction of undissolved TSP ~t 20 min, % = ',MF*lOO
&/MI WRITE(lO,*) '---------------------------------------------------~'
100 FORMAT(A60) PALISADES NUCLEAR PLANT 101 FORMAT(A45,Fl2.4) EA-FC-949-01 Rev 3 102 FORMAT(F7.l,5Ell.4,El4.7) Sheet 04 103 FORMAT(Fl2.2,Fl2.2,Fl2.6,F28.4) 104 FORMAT(Fl2.2,F36.4,Fl2.4)
- 105 FORMAT(A45,F14.6)*
END
PALISADES NUCLEAR PLANT DISSOLUTION TIME *EA-FC-949-01 Rev 3 1200 o*.s 2.0 2.2 so 1 1 Sheet. OS 1.188ST 22.S472 7461.7683 3S3S.62 8 6 1 1 197 228'886 13 207 297238 so 16S S42400
.100 163 660331
. . 200 174 811979 400 167 1163010
.* I 800 14S 18S2420*
1200 131 2S16820 130 0. 009_216667 lSO 0.0283333333.
-160 O.OS6S 170 0.068333333 180 0.089S.
190. . 0.106S _,('
PALISADES NUCLEAR PLAN'l DISSOLUTION TIME EA-FC-949-01 Rev 3
- - - - - - - - - - - - - - - - - - - --- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - Sheet D6 Side length of TSP basket, ft = 2.0000
- eight of TSP, ft = 2.2000 P bulk density, lb/cuft = 50.0000 pacing between-basket and sump floor, ft= .5000 Time step used in computations, sec = 1.0000 Constant A (flood~level equation) = 1.188570 Constant B (flood level equation) = 22.547200 Constant C (flood level equation) = 7461.768300 Constant D (flood level equation) = 3535.620000
*Time, Mass of Volume of _ Level of Temp, SDR, Mass of sec water,lb water,ft3 water,ft deg F lb/sec/ft2 TSP,lb 1.0 .2289E+06 .3692E+04 .2092E-01 .1970E+03 .1065E+OO .4400000E+03 2.0 .2289E+06 .3692E+04 .2092E-01 .1970E+03 .1065E+OO .4400000E+03"
- 3. 0. .2289E+06 .3692E+04 .2092E-01 .1970E+03 .1065E+OO .4400000E+03 4.0 .2289E+06 .3692E+04 .2092E-Ol .1970E+03 .1065E+OO .4400000E+03 5.0 .2289E+06 .3692E+04 *'. 2092E-01 .1970E+03 .1065E+OO .4400000E+03 6.0 .2289E+06 .3692E+04 .2092E-01 .1970E+03 .1065E+OO .4400000E+03 7.0 .2387E+06 .3849E+04 .4202E-01 .1984E+03 .1065E+OO .4400000E+03 8.0 .2484E+06 :4007E+04 .6311E-01 .1999E+03 *.1065E+OO .4400000E+03 9.0 .2582E+06 .4164E+04 .8421E-01 .2013E+03 .1065E+OO .4400000E+03 10.0 .2679E+06 .4322E+04 .1053E+OO .2027E+03. .1065E+OO .4400000E+03
- 11. 0 .2777E+06 * .4479E+04 .1264E+OO .2041E+03 .1065E+OO - .4400000E+03 12.0 .2875E+06 .4637E+04 .1475E+OO .2056E+03 .1065E+OO . 440000,0E+03 13.0 .2972E+06 .4794E+04 .1686_E+OO .2070E+03 .1065E+OO .4400000E+03 14.0 .3039E+06 .4901E+04 .1829E+OO .2059E+03 .1065E+OO .4400000E+03 15.0 .3105E+06 .5008E+04 .1972E+OO .2047E+03 .1065E+OO .4400000E+03 16.0 .3171E+06 .5115E+04 .2115E+OO .2036E+03 .i065E+OO .4400000E+03
- 17.0 .3237E+06 .5222E+04 .2258E+OO .2025E+03 .1065E+OO .. 4400000E+03 18.0 .3304E+06 ~5329E+04 .2401E+OO .2013E+03 .1065E+OO .4400000E+03 19.0 :3370E+06 .5435E+04 .2544E+OO .2002E+03 .1065E+OO .4400000E+03 20.0 .3436E+06 .5542E+04 .2687E+OO .1991E+03 .1065E+OO .4400000E+03 21.0 .3502E+06 .5649E+04 .2830E+OO .1979E+03 .1065E+OO .4400000E+03 22.0 .3569E+06 .5756E+04 .2973E+OO .1968E+03 .1065E+OO .4400000E+03 23.0 .3635E+06 .5863E+04 .3116E+OO .1956E+03 .1065E+OO .4400000E+03 24.0 .3701E+06 .5970E+04 .3259E+OO .1945E+03 .1065E+OO .4400000E+03 25.0 *.3768E+06 .6077E+04 .3402E+OO .1934E+03 .lOGSE+OO .4400000E+03 26.0 .3834E+06 .6183E+04 .3545E+OO .1922E+03 .1065E+OO ;4400000E+03 27.0 .39~0E+06 .6290E+04 .3688E+OO .1911E+03 .1065E+00- .4400000E+03
- 28. o- .3966E+06 . . 6397E+04 .3830E+OO .1900E+03 .1065E+OO .4400000E+03
- 29. 0 . 4033E+O~:- . 6504E+04 * .3973E+OO .1888E+03 .1045E+OO .4400000E+03 30.0 . 4099E+0.6+' .\ 6611E+04 .4116E+OO .1877E+03 * .1026E+OO .4400000E+03
. 31.0 . 4165E+O"Er>~. 6718E+04 .4259E+OO .. 1866E+03 .1007E+OO .4400000E+03 32.0 . 4231E+O:(i";;;..:. . 6825E+04 .4402E+OO . 1854E+03 .9874E-01 . .4400000E+03 33.0 . 4298E+0:6~:- : . 6932E+04 .4545E+OO .1843E+03 .9681E-01 .4400000E+03 34.0 .4364E+06 .7038E+04 .4687E+OO .1832E+03 .9488E-01 .4400000E+03 35.0 .4430E+06 .7145E+04 .4830E+OO .1820E+03 .9295E-01 .. 4400000E+03 36.0 . 4496E+06 .7252E+04 .4973E+OO .1809E.f.03 . .9102E-01 .4400000E+03 37.0 .4563E+06 .7359E+04 .5116E+OO .1798E+03 .8899E-01 .4396358E+03 38.0 .4629E+06 .7466E+04 .5259E+OO .1786E+03 .8658E-01 .4392716E+03 39.0 .4695E+06 .7573E+04 .5401E+OO .1775E+03 .8418E-01 .4389078E+03 40.0 .4761E+06 .7680E+04 .5544E+OO .1764E+03 .8178E-01 .. 4385451E+03
- 41. 0 .4828E+06 .7787E+04 . 568.7E+OO .175.2E+03 .7937E-01 .4381840E+03 2.0 . 4894E+06 .7893E+04 .5829E+OO .1741E+03 .7697E-01 . .4378250E+03 3.0 .4960E+06 ;8000E+04 .5972E+OO .1729E+03 .7457E-01 .4374688E+03
* . 44. .72i7E-01 .. 43 71157E+03 (j .5026E+06 .8107E+04 .6115E+OO .1718E+03 45.0 .5093E+06 .8214E+04 .6258E+OO .1707E+03 .6976E;_Ol .4367665E+03
46.0 . 5159E+06 . 8321E+04 . .6400E+OO .1695E+03 ;6779E-Ol .4364194E+03 E-t 47.0
- 48. o* *
.5225E+06
.5291E+06
.8428E+04
.8535E+04
.6543E+oo
*. 6685E+OO
.1684E+03
.1673E+03
.6645E-01
.6510E-01
.4360716E+03
.4357234E+03 ll4 M ~
49.0 .5358E+06 .8642E+04 .6828E+OO .1661E+0.3. .6376E-01 .4353751E+03 50.0
- 51. 0
.5424E+06 .8748E+04
. 5448E+06- .8786E+04
.6971E+OO
.7021E+OO
.1650E+03
.1650E+03
- 6242E-01
.6237E-01
.4350271E+03
.4346767E+03 H ~~'
52.0 . 5471E+0'6 .8824E+04 .7072E+OO .1649E+03 .6232E-01* .4343241E+03 c:.> 53.0 . 5495E+06: . . 8ff63E+04 .7123E+OO .1649E+03 . 6227E-01 . . 4339693E+03 $8 54.0 .5518E+06 . 8901E+.04 .7174E+OO .1648E+03 ~6223E-01 .4336121E+03 Cll enI 55.0 .5542E+06 .8939E+04 .7224E+OO .1648E+03 .6218E-01 .4332528E+03 ~..., 56.0 .5566E+06 .8977E+04 .7275E+OO .1648E+03 .6213E-01 .4328911E+03 ~~ 57.0 .5589E+06 .9015E+04 . 7326E+O.O .1647E+03 .6209E-01 .4325273E+03 H Cll c:.> fZ4 58.0 .5613E+06 .9053E+04 .7377E+OO .1647E+03 .6204E-01 .4321612E+03 59.0. .5636E+06 .9091E+04 .7427E+OO .1646E+03 .6199E-01 .4317928E+03 *~~ 60.0 .5660E+06 .9129E+04 ;7478E+OO .1646E+03 .6194E-01 .4314223E+03
- 61. 0 .5683E+06 .9167E+04 .7529E+OO .1646E+03 .6190E-01 .4310494E+03 - -~ .
/
62.o .5707E+06 .9205E+04 .7580E+OO .1645E+03 .6185E-01 .4306744E+03 63.0 .5731E+06 .9243E+04 .7630E+OO .1645E+03 .6180E~Ol .4302972E+03 64.0 .5754E+06 .9281E+04 .7681E+OO .1644E+03 .6175E-01 .4299177E+03 65.0 .5778E+06 .9319E+04 . 7732E+OO .1644E+03 .6171E-01 . 4295360E+03 .. 66.0 .5801E+06 .9357E+04 .7783E+OO .1644E+03 .6166E-01 .4291521E+03 67.0 .5825E+06 .9395E+04 .7833E+OO .1643E+03 .6161E-01 .4287660E+03 68.0 .5849E+06 .9433E+04 .7884E+OO .1643E+03 .6156E-01 .4283777E+03 69.0 .5872E+06 .9471E+04 .7935E+OO .1642E+03 .6152E-01 .4279872E+03 70.0 .5896E+06 .9509E+04 .7985E+OO .1642E+03 .6147E-01 . 42759'4SE+03 71.0 .5919E+06 . 9547E+o"4 .8036E+OO .1642E+03 *. .6142E-01 .4271996E+03 72.0 *. 5943E+06 .9585E+04 .8087E+OO .1641E+03 . 6138E-01 . 426802,6E+03 .
- 73.0 .5966E+06 .9623E+04 .8138E+OO .1641E+03 .6133E-01 .4264033E+03 74.0 .5990E+06 .9661E+04 .8188E+OO .1640E+03 .6128E_;Ol .42600l9E+03
- 75.0 :6014E+06 .9699E+04 .8239E+OO .1640E+03 .6123E-01 .4255983E+03 76.0 .6037E+06 .9737E+04 .8290E+OO .1640E:t-03 . 6119E-01. .4251925E+03
- 11. o* * .6061E+06 .9776E+04 ~8340E+OO .1639E+03 .6114E-01 .4247846E+03 78.0 .6084E+06 .9814E+04 .8391E+OO .1639E+03 .6109E-01 .4243745E+03 79.0 .6108E+06 .9852E+04 .8442E+OO .1638E+03 .6104E-01 .4239622E+03 80.0 .6132E+06 .9890E+04 .8493E+OO .1638E+03 .6100E-01 .4235478E+03
'81.0 .6155E+06 .9928E+04 .8543E+OO .1638E+03 .6095E-01 .4231312E+03 82.0 .6179E+06 .9966E+04 * . 8594E+OO .1637E+03 .6090E-01 .4227125E+03 83.0 .6202E+06* .1000E+05 .8645E+OO .1637E+03 * . 6085E-01 .4222917E+03 84.0 .6226E+06 .1004E+OS .8695E+OO .1636E+03 .6081E-01 .4218687E+03 85.0 .6250E+06 .1008E+OS .8746E+OO .1636E+03 .6076E-01 .4214435E+03 86.0 .* 6273E+06 .1012E+OS .8797E+OO .1636E+03 .6071E-01 .4210163E+03 87.0 .6297E+06 * .1016E+05 * . 8847E+OO .1635E+03 .6067E-01 . .4205869E+03 88.0 .6320E+06 . 1019E+05 .8898E+OO .1635E+03 .6062E-01 .4201554E+03 89.0 . 6344E+06, .1023E+05 .. 8949E+OO .1634E+03 .6057E-01 .4197217E+03 90.0 . 6367E+OG~:; '~ 1027E+OS .9000E+OO .1634E+03 .6052E-01 .4192860E+03
- 91. 0 . 6391E+06.<~ * .1031E+05 ... 9050E+OO .1634E+03 .6048E-01 .4188481E+03 92.0 . 6415E*+o*&, .1035E+OS .9101E+OO .1633E+03 .6043E-01 .4184082E+03 93.0 . 6438E+06-- .1038E+OS .9152E+OO .1633E+03 .6038E-01 .4179661E+03 94.0 .6462E+06 .1042E+OS .9202E+OO .1632E+03 .6033E-01 .4175219E+03 95.0 .6485E+06 .1046E+OS . 9253E+OO .1632E+03 . 6029E-01 . .4170757E+03 96.0 .6509E+06 .1050E+OS .9304E+OO .1632E+03 * . 6024E.;..01 .4166273E+03 97.0 .6533E+06 .1054E+05 .9354E+OO .1631E+03 .6019E-01 .4161769E+03 98.0 .6556E+06 .1057E+OS .9405E+OO .1631E+03 .6014E-01 .4157243E+03 99.0 .6580E+06 .1061E+OS .9456E+OO .1630E+03 .6010E-01 .4152697E+03 100.0 .6603E+06 .1065E+OS .950,6E+OO .1630E+03 .6005E-01 *. 414813 OE+03 101.0 .6618E+06 .1067E+OS .9539E+OO .1631E+03 .6018E-01 .4143538E+03
.02.0 .6634E+06 *.1070E+OS .9571E+OO .1632E+03 .. 6031E-01 .4138920E+03 03.0 .6649E+06 .1072E+OS .9604E+OO .1633E+03 .. 6044E-01 .4134276E+03 ' 104.0 .6664E+06 .1075E+OS .9637E+OO .1634E+03 . 6057E.:..01 .4129606E+03 105.0 .6679E+06 .1077E+05 .9669E+OO .1636E+03 .6070E-01 .4124911E+03
106.0 .6694E+06 .1080E+05 .9702E+OO .1637E+03 .6083E-01 .4120190E+03 ~ 107.0 .6709E+06 .1082E+05 .9734E+OO . 1638E+03 .6096E~Ol .4115442E+03 ~ . 108.0 .6725E+06 .1085E+05 .9767E+OO .1639E+03 .6109E-01 .4110669E+03 ~M 09.0 .6740E+06 .1087E+05 .9799E+OO .1640E+03 .6122E-01 * .4105869E+03 ~ ~ 10.0 .6755E+06 .1090E+05 .9832E+OO .1641E+03 _. 6135E-01 . 4101044E+03 ~ ~
- 11. 0 . 6770E+06* .1092E+05 .9865E+OO .1642E+03 .6148~-01 .4096192E+03 ~
- 112. o* .6785E+Q6 ~1094E+OS .9897E+OO . i643E+03 .6161E-01 .4091313E+03 ~~ . 113.0 .6800E+06* .1097E+OS. .9930E+OO .1644E+03 . 61.74E-01 . 4086409E+03 ~ 114.0 .6816E+06 .1099E+OS .9962E+oo* .1645E+03 .6187E-01 .4081478E+03 ~~ 115.0 .6831E+06 .1102E+05 .9995E+OO .1647E+03 . 6200E-01 . 4076520E+03 ~~ 116.0 .6846E+06 .1104E+OS .. 1003E+Ol _ .1648E+03 .6213E-01 .4071536E+03 ~b
*117.0 .6861E+06 .1107E+OS .1006E+Ol .1649E+03 .6226E-01 .4066525E+03 H~
118.0 .6876E+06 .1109E+OS .1009E+Ol .1650E+03 .6239E-01 .4061487E+03 ~~ 119.0 .6891E+06 .1112E+OS .1013E+Ol .1651E+03 .6252E-01 .4056423E+03 ~~
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=
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. 612. 0 .1528E+07 .2465E+05 ** 2803E+Ol .1553E+03 .4337E-01* .2610i88E+02 613.0 .1530E+07 .2468E+05 .2806E+Oi .1553E+03 * . 4322E-01 . 251110'0E+o2 614.0 .1532E+07 .2471E+05 .2810E+Ol .1552E+03 .4306E-01 .2532219E+02 615.0 .1534E+07 .2473E+05 .2814E+Ol .1552E+03 .4291E-01 .2493545E+02 16.0 .1535E+07 .2476E+05 .2817E+Ol .1551E+03 .4275E-01 .2455077E+02 17.0 .1537E+07 .2479E+05 .2821E+Ol .1551E+03 .4260E-01 .2416814E+02 618.0 .1539E+07 .2482E+05 .2825E+Ol .1550E+03 .4244E-01 .2378755E+02 619.0 .1540E+07 .2485E+05 .2828E+Ol .1550E+03 .4229E-01 .. 2340899E+02 620.0 *. l542E+07 .2487E+05 .2832E+Ol .1549E+03 .4213E-01 .2303246E+02 621.0 .1544E+07 .2490E+05 .2835E+Ol .1548E+03 .4198E-01 .2265794E+02 622.0 .1546E+07 .2493E+05 .2839E+Ol .1548E+03 . 4183E-01* .2228543E+02 623.0 .1547E+07 .2496E+05 .2843E+Ol .1547E+03 .4167E-01 .2191493E+02 624.0 .. 1549E+07 .2499E+05 *. 2846E+Ol .1547E+03. .4152E-01 .2154641E+02 625.0 . * .1551E+07 .. . .2501E+05 .2850E+Ol .1546E+03 .4136E-01 .2117988E+02 626.0 .1553E+07 .. 2504E+05 .2854E+Ol .1546E+03 .4121E-01 .2081533E+02 627.0 .1554E+07 .2507E+05 .2857E+Ol .1545E+03 .4105E-01 .2045274E+02 628.0 *.1556E+07 .2510E+05 * .2861E+Ol .1545E+03 .4090E-01 .2009212E+02 629.0 .1558E+0.7:" *. 2512E+05 * .2865E+Ol* .1544E+03 * .4074E-01 .1973345E+02 630.0 . 1559E+o:1::;;?,. 2s15E+o5* * .2868E+Ol .1544E.f.03 .4059E-01 .1937673E+02 631. 0 .1561E+o7:::_ . 2518E+05 . 2872E+Ol * .1543E+03 .4043E-01 .1902195E+02 632.0 .1563E+0~1~+'~ 2521E+05 .2876E+Ol .1542E+03 . .4028E-01 .1866909E+02 633.0 .1565E+OT.;> .. 2524E+05 .2879E+Ol .1542E+03 .4012E-01 .1831816E+02 634.0 .1566E+Or . 2526E+05 .2883E+Ol .1541E+03 . .3997E-01 .1796915E+02 635.0* .1568E+07 .2529E+05 .2887E+Ol .1541E+03 .3981E-01 .1762204E+02 636.0 .1570E+07 .2532E+05 .2890E+01 .1540E+03 .3966E-01 .1727684E+02 637.0 .1571E+07 .2535E+05* .2894E+Ol .1540E+03 .3950E-01 .1693353E+02 638.0 .1573E+07 .2537E+05 .2897E+Ol .1539E+03 .3935E-01 .1659211E+02 639.0 .1575E+07 . 2540E+05. .2901E+Ol .1539E+03 ~3919E-01 .1625256E+02 640.0 .1577E+07 .2543E+05 .2905E+Ol .1538E+03 .3904E-01 .1591489E+02 641. 0 .1578E+07 .2546E+05 . 2908E+Ol. .1537E+03 .3888E:-01 .1557909E+02 9!2"03.0 4.0
.1580E+07 . 2549E+05 . *. .2912E+Ol
.1582E+07 .2551E+05
.1584E+07 .2554E+05 645 .0 .* .1585E+07 .2557E+05
.2916E+Ol-
.2919E+Ol
.2923E+Ol
.1537E+03
.1536E+03
.1536E+03
.1535E+03
. 3873E.:..01
.3857E-01
.3842E-01
.3826E-01
.1524514E+02
.1491304E+02
.. 1458279E+02
.1425437E+02
646.0 .15S7E+07 .2560E+05 .2927E+Ol .153SE+03 . 3811E-01 * .1392779E+02 647.0 . 1589E+07 .2562E+05 .2930E+Ol .1534E+03 . .3795E-01 .1360303E+02 648.0 .1590E+07 .2565E+05 .2934E+Ol .1534E+03 .3780E-01 .1328008E+02 49.0 .1592E+07 .2568E+05 .2938E+Ol .1533E+03 .3764E-Ol .1295895E+02 . 50.0 :1594E+07 .2571E+05 .2941E+Ol .15_33E+03 .3749E~Ol .1263962E+02 ~ t .* 651. 0 .1596E+07 .2574E+05 - . 2945E+Ol .1532E+03 . 3733E-01 .1232208E+02 ~ ~ 652. 0. .1597E+07- . 2576E+05 .2949E+Ol .1531E+03 .3718E-01 .1200633E+02 u 653.0 .1599E+OT .2579E+OS .2952E+Ol .1531E+03 . 3 702E-01 .116923 7E+02 ::> .-1 654.0 .1601E+-07 .2582E+05 .2956E+Ol .1530E+03 . 3687E-01 .1138019E+02 :zoo? 655.0 .1603E+07 .2585E+05 .2959E+Ol .1530E+03 . 3671E-01 .1106977E+02 ~ ~ ~ 656.0 .1604E+07 .2587E+05 .2963E+Ol .1529E+03 . 3656E-01 .1076112E+02 ~ ~' 657.0 .1606E+07 .2590E+05 .2967E+Ol .1529E+03 .3640E-01 .1045423E+02 ~U-H rz. - 658.0 .1608E+07 .2593E+05 .2970E+Ol .1528E+03 . 3625E-01 .1014908E+02 ..:I 1 659.0 .1609E+07 .2596E+05 .2974E+Ol .1528E+03- . 3609E-01 . 9845684E+Ol ~ ~ i 660.0 .1611E+07* . 2599E+05 .2978E+Ol .1527E+03 .3594E-01 .9544024E+Ol 661.0 .1613E+07 .2601E+05 .2981E+Ol .1526E+03 .3578E-01 .9244096E+Ol / 662.0 .1615E~07 .2604E+05 .2985E+Ol .1526E+03 .3563E-01 .894Sa94E+Ol 663.0 .1616E+07 .2607E+05 .2989E+Ol .1525E+03 .3547E-01 .8649412E+Ol 664.0 .1618E+07 .2610E+05 .2992E+Ol .152SE+03 .3532E-01 .8354643E+Ol 665.0 .1620E+07 ~2612E+05 .2996E+Ol .1524E+03 .3516E-01 .8061582E+Ol 666.0 .1621~+07 .2615E+05 .3000E+Ol .1524E+03 .3501E-01 .7770222E+Ol 667.0 .1623E+07 .2618E+05 .3003E+Ol .1523E+03 .3485E .7480558E+Ol* 668.0 .1625E+07 .2621E+05 .3007E+Ol .1523E+03 ~3470E-01 .7192583E+Ol 669.0 .1627E+07 .2624E+05 .3010E+Ol .1522E+03 .3454E-01 .6906292E+Ol 670.0 .1628E+07 .2626E+05 .3014E+Ol .1522E+03 .3439E-01 .66216rBE+01 671.0 .1630E+07 .2629E+05 .3018E+Ol .1521E+03 .3423E~Ol .63387~7E+Ol 672.0 .1632E+07 .2632E+05 .3021E+Ol .1520E+03 .3408E-01 .605746iE+Ol 673.0 .1634E+07 .2635E+05 .3025E+Ol .1520E+03 .3392E-01 .57778~6E+Ol 674.0 .1635E+07 .2638E+05 .3029E+Ol .1519E+03- .3377E-01 .5499886E+Ol 5.0 .1637E+07 .. 2640E+05 .3032E+Oi .1519E+03 .3361E-01 .5223574E+Ol
- 6.0 .1639E+07 .2643E+05 .3036E+Ol .1518E+03 .3346E-01 .494890SE+Ol-
_677 .0. .1640E+07 .2646E+05 .3040E+Ol ;l518E+03 .3330E-01 .4675875E+Ol 678.0 .1642E+07- .2649E+05 .3043E+Ol .1517E+03 .331SE-01 .4404476E+Ol 679.0 .1644E+07 .2651E+05 .3047E+Ol .1517E+03 .3299E-01 .4134703E+Ol 680.0 .1646E+07 .2654E+05 .3051E+01 .1516E+03 .3284E-01 .3866552E+Ol 681. 0 .1647E+07 .2657E+05 .3054E+Ol .1515E+03 .3269E-01 .3600016E+Oi 682.0 .1649E+07 *. 2660E+05 .3058E+Ol .1515E+03 .3253E-01 .3335091E+Ol 683.0 .1651E+07 .2663E+05 .3061E+Ol .1514E+03 .3238E-01 .3071770E+Ol 684 .. 0 .1652E+07 .2665E+05 - . 306SE+Ol - .1514E+03 .3222E-01 .2810048E+Ol 685:0 .1654E+07 .2668E+05 . 3069E+Ol .1513E+03 . .3207E-01_ .2549920E+Ol 686.0 .1656E+07 .2671E+05 .3072E+Ol .1513E+03 ;3191E-01 - .2291382E+01 687.0 .1658E+07 .2674E+os* .3076E+Ol .1512E+03 .3176E-01 .2034426E+Ol "688.0 -.1659E+0-7: . 2676E+05 .3080E+Ol .1512E+03 .3160E-01 .1779049E+Ol 689.0 .1661E+07-;. - - . 2679E+05- .3083E+Ol .1511E+03 .3145E-01 .1525246E+Ol 690.0 .1663E+07.i~; - . 2Ga2E+os: .3087E+Ol .1511E+03 .3129E~Ol .1273010E+Ol 691. 0 .1665E+07¢;' ~ 2685E+05 .3091E+Ol .1510E+03 .3114E-01 .1022337E+Ol 69.2. 0 .1666E+0.7~~-=---. 2688E+05 .3094E+Ol .1509E+03 .l098E-01 .7732223E+OO 693.0 .1668E+07 .2690E+05 .3098E+Ol .1509E+03 ~3083E-01 .5256602E+OO 694 .0 - .1670E+07 -. ~2693E+05 .3102E+Ol .1508E+03 .3067E-01 .2796460E+OO 695.0 .1671E+07 .2696E+05 . 3105E+Ol_ .1508E+03 .3052E-01 .3517464E-01 696.0 .1673E+07 .2699E+OS .3109E+Ol .1507E+03 .3036E-01 .OOOOOOOE+OO
=
Initial mass of TSP, lb 440.0000* Undissolved TSP mass at 20 min_, cuft - = .0000 Fraction of undissolved TSP at 20 min, % = .0000
- - - ~ - ~ ~ - - - - - - - - - - - - - - -- - - - - - -- - -- - - --- - -- - - - - -- -
PALISADES NUCLEAR PLANT EA-FC-949 Rev 3 Sheet 018
- Hand calculation A 2.0x2.0x2.2 ft basket, whcise bottom surface is o.s ft above *the sump floor,*- is* considered. '!'he basket is filled with commercial grade TSP. The time dependent temperature and mass of borated water in the sump,. as well as the temperature* dependent TSP surface dissolution rate, considered in this validation case are as follows.*
Time, sec Sump temperature,°F - Mass of borated water 6 197 228886 13 207 297238 50 165 542400 100 163 660331 200 . 174 811979 -* 400 167 1163010
. 800 145 1852420 1200 131 2516820 Temperature, °F Surface dissolution rate,lb/ft 2 /min 130 0.553 150 1.70 160 3.39 170 4.10 180' 5.37 190 ,-
6.39 A TSP de:ris'!_t::Y:'-Of 50 lb/ft 3 and a water density of 62 lb/ft 3 are considered{ Also,- the containment flood level, h, following a LOCA is A h3 + B h 2 + C h + D : V where h is in ft, Vw is the volume of water in ft 3 and the values considered for A, B, c and Dare 1.18857, 22.5472, 7461.7683 and 3535.62. respectively .
PALISADES NUCLEAR PLANT EA-F.C-949-01 Rev *3 Sheet Dl9 The TSP shou.ld start to dissolve only after the water level exceeds th~ height of the basket bottom surface, h 1 =0.5 ft. This is in agreement with the computer output. At t = 220 sec: Mass of TSP = 338.41 lb (computer output): Volume of TSP = 338.41/50 = 6.7682 ft 3 Height of TSP in basket = 6.7G82/2 2 = 1.6921 ft Height of TSP above floor = 1.692i+0.5 = 2.1921 ft The sump temperature, T, the dissolution rate, SDR, the volume of water, Vw, and the' height of water, h, are calculated as follows. T = 174+(167-174) (220-200)/(400-200) = 173.3 °~ SDR = 0 . 0 6 8 3 3 3 + {0 . 0 8 9 5 - 0 . 0 6 8 3 3 3) ( 173 . 3 -170) I {18 0 -176) SDR = 0.075318 lb/ft 2 /sec
. Vw = (811979+ {1163010-811979) (220-200) / (400-200)) /62 -.: ~
. . . 3 Vw = 13662.6 ft Assume h = 1.351 ft .
Vw. = 1.18857 Ci. 351.) 3 +22. 5472 (1. 351) 2 +7461. 7683 (1. 351) +3535. 62 Vw = 13660.1 ft 3 The above assumption is verified and h = 1.351 ft Therefore, the TSP is partially submerged dMTsp/dt_= -(2 2 +(4) (2) (1.351-0:5)} C0.075318} = -0.81404 lb/sec
~Tsp/dt = (337.5945-338.4101)/1.= -0.8156 lb/sec (comp. o_utput)
Therefore, the results of' the hand calculation are in agreement with the computer output . Mass of TSg'~,*~* 85. 081 lb {computer output}
- Volume of. TSP*= 85. 081/50 = 1. 7016 ft 3 He1ght of TSP in basket*= 1.7016/2 2 = 0.4254 ft
_Height* of TSP above floor= 0.4254+0.5 = 0.9254 ft The sump temperature, T; *the dissolution rate_, SDR, *the volume of water, Vw, and the height of water, h, are calculated as follows. T = 167+(14S-167} (500"".4.00))(800-400} = 161.5 °F' SDR = 0 . 0 5 6 5 + ( 0 . 0 6 8 3 3 3 3 3 3 - 0 . 0 5 65} (161 . 5 -16 0} I {170 -16 0}
PALISADES NUCLEAR PLANT EA-FC-949-01 Rev 3 Sheet 020 FINAL o~ APPF-Nb IX ~ 0
*SDR.= 0.058275 lb/ft 2 /sec Vw = (1163010+ (1852420-1163010) (500-400) I (800-400)) /62 Vw = 21538.1 ft 3 Assume h = 2.393 ft Vw = 1.18857 (2. 393) 3 +22. 54 72 (2. 393) 2 +7461. 7683 (2. 393) +3535. 62 Vw = 21537.0 ft 3 The above* assumption is verified and h = 2.393 ft Therefore, the TSP is totally submerged dMTsP/dt = -((2)(2) 2 +(4)(2)(0.4254))(0.058275) = -0.6645 lb/sec dMTsp/dt = (84.4177-85.08149) /1 = -0.66379 lb/sec -(comp. output)
Therefore, the results of the hand calculation are in agreement with the computer output.
~
The above demonstrates the vali~ity of the program .
PALISADES NUCLEAR PLANT EA-FC-949-01 Rev 3
*sheet E1 APPENDIX E COMPUTER RUNS (DISS)
PALISADES NUCLEAR PLANT DISSOLUTION TIME (existing - 45 lb/ft3) EA-FC-949-01 Rev 3 1200 0.5 2.0 2.29056 45 1 10 Sheet E2 1.188 22.547 7461.767 2938.316 1 34 6 1 1 197.4 228841 206.9 283267 3 207.2 296762 20 205. 0 316995 - 30 184.8 394134 40 172. 7 470279 50 164.7 540208 60 160.3 592890 70 160. 2 614752 80 161.1 628719 90 161. 8 642482 100 162.6 656127 150 167. 2 725878 200 172.8 804147 250 177.6 884508 300 173. 7 971985 350 169.4 1061890 400 -165.5 1150730 450 161.8 1238760 500 158.3 1326060 550 155.1 1412740 600 152.1 1498910 650 149.3 1584620 700 146.7 1669920 750 144.2 1754840 800 141.9 1839410 850 139.8 1923680 900 137.7 2007680 950 135.8 2091430 1000 134.0 2174960 1050 132.2 2258270 1100 130.5 2341370 1150 129.0 2424340 1200 127.4 2507160 0.009216667 -~ 0.0283333333 0.0565 0.068333333 180 0.0895 190 0 .1065
PALISADES NUCLEAR PLAN DISSOLUTION TIME (e . t. 45 lb/ft3) EA-FC-949-0i Rev 3 xis ing Sheet EJ
~~~~~{~gj~~~~-I~P-b;,.~ic~t::-ir:-------------~-------§:g~g~-
TsP bulk density lb/cuft = 45. 0000 Sgacing between.basket and.sump floor, ft .5000 Tl.me seep used in computations, sec 1.0000 Constant A (flood level equation) = 1.188000 Constant B. (flood level equation) 22. 547000 Constant C (flood level equation) 7461.767000 Constant D (flood level equation) = 2938.316000 Time,
- Mass of Volume of Level of Temp . SDR, Mass of sec water,lb water,ft3 water,ft deg F lb/sec/ft2 TSP,lb 10.0 .2833E+06 .4569E+04 .2184E+OO . 2069E+03 .1065E+OO .4123008E+03 20.0 .3170E+06 .5113E+04 .2912E+OO .2050E+03 .1065E+OO .4123008E+03 30.0 .3941E+06 .6357E+04 .4575E+OO .1848E+03 .9766E-01 .4123008E+03 40.0 .4703E+06 .7585E+04 .6215E+OO .1727E+03 . 7405E-01 . 4093197E+03 50.0 .5402E+06 .8713E+04 .7720E+OO .1647E+03 . 6206E-01 . 4055763E+03 60.0 .5929E+06 .9563E+04 .8853E+OO .1603E+03 .5685E-01 . 4016289E+03 70.0 * .6148E+06 .9915E+04 * .9323E+OO .1602E+03 .5674E-01 .3974895E+03 80.0 .6287E+06 .1014E+05 .9623E+OO .1611E+03 .5780E-01 .3931384E+03 90.0 .6425E+06 .1036E+05 .9918E+OO .1618E+03 .5863E-01 .3885777E+03 100.0 .6561E+06 .1058E+05 .1021E+Ol .1626E+03 .5958E-01 .3838077E+03 110.0 .6701E+06 .1081E+05 .1051E+Ol .1635E+03 .6067E-01 .3788124E+03 120.0 .6840E+06 .1103E+05 .1081E+Ol .1644E+03 * .6175E-Ol .3735799E+03 130.0 .6980E+06 .1126E+05 .llllE+Ol .1654E+03 .6284E-01 .3681051E+03 140.0 .7119E+06 .1148E+05 .1141E+Ol .1663E+03 .6393E-01 .3623828E+03 150.0 .7259E+06 .1171E+05 .1171E+Ol .1672E+03 . 6502E-01 . 3564077E+03 160.0 .7415E+06 .1196E+05 .1204E+Ol. .1683E+03 .6635E-01 .3501518E+03 170. 0 .7572E+06 .1221E+05 .1238E+Ol .1694E+03 .6767E-01 .3435897E+03 180.0 .7728E+06 .1247E+05 .1272E+Ol .1706E+03 .6952E-01 .3366984E+03*
190.0 .7885E+06 .1272E+05 .1305E+Ol .1717E+03 .7189E-01 .3293891E+03 200.0 .8041E+06 .1297E+05 .1339E+Ol .1728E+03 .7426E-01 .3216387E+03 210. 0 ;8202E+06 .1323E+05 .1373E+Ol .1738E+03 ~7629E-01 .3134518E+03 220. O* .8363E+06 .1349E+05 .1407E+Ol .1747E+03 ..7832E-01 .30483'12E+03 230. 0 .8524E+06 .1375E+05 .1442E+Ol .1757E+03 .8036E-01 .2957655E+03 240.0 .8684E+06 .1401E+05 .1476E+Ol .1766E+03 .8239E-01 .2862436E+03 250.0 .8845E+06 .1427E+05 .1511E+Ol .1776E+03 .8442E-01 .2762545E+03 260.0 .9020E+06 * .1455E+05 .1548E+Ol .1768E+03 .8277E-01 .2660246E+03 270.0 .9195E+06 .1483E+05 .1586E+Ol .1760E+03 .8112E-01 .2557519E+03 280.0 .9370E+06 .1511E+05 .1623E+Ol .1753E+03 . 7947E-01 . 2454462E+03 290. 0 .. 9545E+06 .1539E+05 . . 1660E+Ol .1745E+03 .7782E-01 .2351176E+03
.300.0 * .9720E+06 .1568E+05 .1698E+Ol .1737E+03 .7616E-01 .2247761E+03 310.0 .9900E+06 .1597E+05 .1736E+Ol . .1728E+03 .7434E-01 .2130157E+03 320.0 .1008E+07 .1626E+05 .1775E+Ol .1720E+03 .7252E-01 .2003909E+03 330.0 .1026E+07 .1655E+05 .1813E+Ol .1711E+03 .7070E-01 .1884705E+03 340.0 .1044E+07 .1684E+05 .1851E+Ol .1703E+03 ~6888E-01 .1772134E+03 350.0 .1062E+07 .1713E+05 .1890E+Ol .1694E+03 .6762E-01 .1665469E+03 360.0 .1080E+07 .1741E+05 .1928E+Ol .1686E+03 .6670E-01 * .1563474E+03 370.0 .1097E+07 .1770E+05 .1965E+Ol .1678E+03 .6578E-01 .1465824E+03 380 .. 0 .1115E+07 .1799E+05 .2003E+Ol .1671E+03 .6485E-01 .1372313E+03*
390.0 . 1133E+07 .1827E+05 .2041E+Ol. .1663E+03 .. 6393E-01 .1282749E+03. 400.0 .1151E+07 .1856E+05 .2079E+Ol .1655E+03 .6301E-01 .1196945E+03 410.0 .1168E+07 .1884E+05 .2117E+Ol .1648E+03 .6213E-01 .1114695E+03 420.0 .1186E+OT .1913E+05 .2154E+Ol .1640E+03 .6126E-01 .1035808E+03 430.0 .1204E+07. ** .1941E+05 .2192E+Ol * .1633E+03 .6038E-01 .9601340E+02 440.0 .1221E+07 .1970E+05 .2229E+Ol .1625E+03 .5951E-01 .8875275E+02 450.0 .1239E+0,7~"":.
- 1998E+05 ~2266E+Ol .1618E+03 .5863E-01 .8178523E+02 460.0 .1256E+OT . 2026E-+:05 .2304E+Ol .1611E+03 . 5780E-01 . 7509491E+02
- 470.0 .1274E+07"-: . 2054E+05 * * .2341E+Ol .1604E+03 .5697E-01 .6866733E+02 480.0 .1291E+o.r: . 2082E+os .2378E+Ol .1597E+03 .5565E-01 .6250531E+02 490. 0 .1309E+U7~.2111E+05 .2415E+Ol .1590E+03 .5368E-01 .5668746E+02 500.0 .1326E+07 .2139E+05 .2452E+Ol .1583E+03 .5171E-01 .5121219E+02 510.0 .1343E+07 .2167E+05 .2489E+Ol .1577E+03 .4991E-01 .4605269E+02 520.0 .1361E+07 .2195E+05 .2526E+Ol .1570E+03 .4811E~Ol .4118585E+02 530. 0 .1378E+07 .2223E+05 .2562E+Ol .1564E+03 .4630E-01 .3659764E+02
.540.0 .1395E+07 .2251E+05 .2599E+Ol .1557E+03 *. 4450E-01 . 3227495E+02 550.0 .1413E+07 .2279E+05 .2636E+Ol .1551E+03 .4270E-01 .2820560E+02 560.0 .1430E+07 .2306E+05 .2673E+Ol .1545E+03 .4101E-01 .2437262E+02 570.0 * .144 7E+07 . 2334E+05 .2709E+Ol .1539E+03 .3932E-01 .2076121E+02 580.0 .1464E+07 .2362E+05 .27.46E+Ol .1533E+03 . 3 763E-01 .1736206E+02 590. 0 .1482E+07 .2390E+05 .27.82E+Ol .1527E+03 .3594E-01 .1416649E+02 600.0 .1499E+07 .2418E+05 .2819E+Ol .1521E+03 .3425E-01 .1116643E+02 610. 0 .1516E+07 .2445E+05 .2855E+Ol .1515E+03 .3267E-01 .8349157E+Ol 620.0 .1533E+07 .2473E+05 .2891E+Ol .1510E+03 .3109E-01 .5703736E+Ol 630. 0 .1550E+07 .2501E+05 .2927E+Ol .1504E+03 .2952E-01 .3224049E+Ol 640. 0 .. 1567E+07 . 2528E+05 .2964E+Ol .1499E+03 .2820E-01 .9006402E+OO 644.0 .1574E+07 .2539E+05 .2978E+Ol .1496E+03 .2799E-01 .OOOOOOOE+OO
PALISADES NUCLEAR PLAl l
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -*- - - EA-FC-,9*49-01. Rev 3 Initial mass of TSP, lb = 412.3008 Sheet E4 Undissolved TSP mass at 20 min; cuft = : 0000 Fraction of undissolved TSP at 20 min, %' =
- 0000
---------~-------------------~----------------------
...~*
/.
PALISADES NUCLEAR PLANT DISSOLUTION TIME (existing - 46 lb/ft3) EA-FC-949-01 Rev 3 1200 0.5 2.0 2.2~076 46 1 10 22.547 7461.767 2938.316 Sheet ES 34 6 1 1 197. 4 228841 0 206.9 283267 3 207.2 296762 20 205. 0 316995 30 184.8 394134 40 172. 7 470279 50 164. 7 540208 60 160. 3 592890 70 160.2 614752 80 161.1 628719 90 161.8 642482 100 162.6 656127 150 167. 2 725878 200 172.8 804147 250 177.6 884508 300 173. 7 971985 350 169.4 1061890 400 165.5 1150730 450 161.8 1238760 500 158.3 1326060 550 .155.1 1412740 600 152.1 1498910 650 149.3 1584620 700 146.7 1669920 750 144.2 1754840 800 141.9 1839410 850 139.8 1923680 900 137~7 2007680 950 135.8 2091430 1000 134.0 2174960 1050 132.2 2258270 1100 130.5 2341370 1150 129.0 2424340 1200 127.4 2507160 30 0.009216667 0 0.0283333333 0 0.0565 70 0.068333333 180 0.0895 190 0.1065
PALISADES NUCLEAR PLA DISSOLUTION TIME (existing 46 lb/ft3) EA-FC-949-01 Rev 3
----------------------------------------------------- Sheet E6 Side length of TSP basket, ft = 2.0000
- Height or TSP, ft = 2.2408 TSP bulk densityL lb/cuft = 46.0000 Spacing between Dasket and sump floor, ft =
- 5000 T"ime seep used in computations, sec = 1.0000
- Constant A (flood level equation) = 1.188000 Constant B *(flood. level equation) = 22. 547000 Constant c (flood level equation) 7461 ~ 767000 Constant D (flood level equation) = 2938. 316000 Time, Mass of Volume of Level of, Tempe... SDR, Mass of sec water,lb water,ft3 water,ft deg~* lb/sec/ft2 TSP,lb 10.0 .2833E+06 .4569E+04 .2184E+OO .2069E+03 .1065E+OO .4122998E+03 20.0 .3170E+06 .5113E+04 .2912E+OO .2050E+03 .1065E+OO .4122998E+03 30.0 .3941E+06 .6357E+04 .4575E+OO .1848E+03 .9766E-01 .4122998E+o3*
40.0 .4703E+06 .7585E+04 .6215E+OO .1727E+03 .7405E-01 .4093188E+03 50.0 .5402E+06 .8713E+04 .7720E+OO .1647E+03 .6206E-01 .4055753E+03 60.0 .5929E+06 .9563E+04 .8853E+OO .1603E+03 .5685E-01 .4016280E+03 70.0 .6148E+06 .9915E+04 .9323E+OO .1602E+03 .5674E-01 .3974886E+03 80.0 .6287E+06 .1014E+05 * . 9623E+OO .1611E+03 .5780E-01 .3931374E+03 90.0 .6425E+06 .1036E+05 .9918E+OO .1618E+03 .5863E-01 .3885767E+03 100.0 .6561E+06 .1058E+05 .1021E+Ol .1626E+03 .5958E-01 .3838068E+03 110.0 .6701E+06 .1081E+05 .1051E+Ol .1635E+03 .6067E-01 .3788114E+03 120.0 .6840E+06 .1103E+05 .1081E+Ol .1644E+03. . 6175E-01 . 3 735789E+03 130.0 .6980E+06 .1126E+05 .llllE+Ol ;l654E+03 .6284E-01 .3681041E+03 140.0 .7119E+06 .1148E+05 * .1141E+Ol ;1663E+03 .6393E-01 .3623818E+03 150.0 .7259E+06 .1171E+05 . ll 71E+Ol .1672E+03* .6502E-01 .3564068E+03 160.0 .7415E+06 .1196E+05 .1204E+Ol .1683E+03 .6635E-01 .3501509E+03 170.0 .7572E+06 .1221E+05 .1238E+Ol .1694E+03 .6767E-01 .3435887E+03 180.0 .7728E+06 .1247E+05 .1272E+Jl .1706E+03 * . 6952E-01 . 3366974E+03 190.0 .7885E+06 .1272E+05 .1305E+Ol .1717E+03 . . 7189E-01 .3293881E+03 200.0 .8041E+06 .1297E+05 .1339E+Ol .1728E+03 . 7426E-01 * *.3216377E+03 210.0 .8202E+06 .1323E+05 .1373E+Ol .1738E+03 .7629E-01 .3134509E+03 220.0 .8363E+06 .1349E+05 .1407E+Ol .1747E+03 .7832E-01 .3048302E+03
- 230. 0 . 8524E+06- .1375E+05 .1442E+Ol ~1757E+03 .8036E-01 .2957645E+03 240.0 .8684E+06 .1401E+05 .1476E+Ol .1766E+03 .8239E-01 .2862427E+03 250.0 .8845E+06 .1427E+05 -.1511E+Ol . . 1776E+03 .8442E-01 .2762536E+03 260.0 .9020E+06 .1455E+05 .1548E+Ol .1768E+03 ~8277E-01 .2660237E+03 270.0 .9195E+06 .1483E+05 .1586E+Ol .1760E+03 .8112E-01 * .2557509E+03 280.0 .9370E+06 .. 1511E+05 .1623E+Ol .1753E+03 . 794 7E-01 . . 2454453E+03 290.0 *- .9545E+06 .1539E+05 .1660E+Ol .1745E+03 .7782E-01 .2351167E+03 300.0 .9720E+06 .1568E+05 .1698E+Ol .1737E+03 .7616E-01 .2247751E+03 310.0 .9900E+06 .1597E+05 . . 1736E+Ol .1728E+03 .7434E-01 .2125160E+03 320.0 .1008E+07 .1626E+05 .1775E+Ol .1720E+03 .7252E-01 .2000516E+03 .':
330.0 .1026E+07 .1655E+05 .1813E+Ol .1711E+03 .7070E-Ol* .1882745E+03 340.0 .1044E+07- .1684E+05 . . 1851E+Ol .1703E+03 .6888E-01 .1771451E+03 350.0 .1062E+07 .1713E+05 .1890E+Ol .1694E+03 .6762E-01 .1665925E+03 360.0 . . 1080E+07 .1741E+05 .1928E+Ol .1686E+03 .6670E-01 .1564953E+03 370.0 .1097E+D7 .1770E+05 .1965E+Ol .1678E+03 ~6578E-01 .1468220E+03 380.0 .1115E+07 .1799E+05 .2003E+Ol .1671E+03 .6485E-01 .1375529E+03 390.0 .1133E+07 .1827E+05 .2041E+Ol .1663E+03 . 6393E-01 .1286692E+03 400.0 .1151E+07 .1856E+05 .2079E+Ol .1655E+03 .6301E-01 .1201534E+03
- 410. 0 . . 1168E+07 .1884E+05- .2117E+Ol .1648E+03 .6213E-01 .1119853E+03 420. 0 .. 1186E+07 .1913E+05 .2154E+Ol .1640E+03 . 6126E-01 .1041465E+03 430. 0 .1204E+07 _. _.1941E+05 .2192E+Ol .1633E+03 ~6038E .9662238E+02 440. 0 .1221E+0.7<'.: .1970E+05 .2229E+Ol .1625E+03 .5951E-01 .8939908E+02 450. 0 .1239E+O.'l.);_ .1998E+05 .2266E+Ol _ .1618E+03 .5863E-01 .8246342E+02 460. O .1256E+OT~-- . 2026E+05 * .2304E+Ol .1611E+03 . 5780E-01 . 7579989E+02 4 70. 0 .1274E+a1::::: . 2054E+05 .2341E+Ol .1604E+03 . 5697E-01 . 6939448E+02 480. 0. ~ 1291E+'0-7:-::. . 2082E+05. .2378E+Ol .1597E+03 . 5565E-01 . 6325032E+02 490.0 .1309E+O'l' .2111E+05 .2415E+Ol .1590E+03 .5368E-01 .5744621E+02 500.0 .1326E+07 .2139E+05 .2452E+Ol .1583E+03- .5171E-01 .5198103E+02.
510. 0 . . 1343E+07 .. 2167E+05 .2489E+Ol .1577E+03 .4991E-01 .4682846E+02 520.0 .1361E+07 .2195E+05 .2526E+Ol . . 1570E+03 .4811E-01 .4196580E+02 530.0 .1378E+07 . . 2223E+05 .2562E+Ol .1564E+03 .4630E-01 .3737939E+02 540.0 .1395E+07 .2251E+05 .2599E+Ol .1557E+03 .4450E-01 .3305647E+02
.550.0 .1413E+07 .2279E+05 .2636E+Ol .1551E+03 .4270E-01 .2898515E+02 560.0 .1430E+07 .2306E+05 .2673E-f.Ol .1545E+03 .4101E-01 .2514872E+02.
570.0 .1447E+07 ~2334E+05 * .2709E+Ol .1539E+03 .3932E-01 .. 2153263E+02 580.0 .1464E+07 .2362E+05 .2746E+Ol .1533E+03 .3763E-01 .1812777E+02 590.0 .1482E+07 .2390E+05 .2782E+Ol .1527E+03 . . 3594E-01 .1492568E+02 600.0 .1499E+07 .2418E+05 .2819E+Ol .1521E+03 . 3425E-01 -.1191844E+02 610.0 .1516E+07 .2445E+05 .2855E+Ol .1515E+03 . 3267E-01 _ . 909349 7E+Ol 20.0 .1533E+07 .2473E+05 .2891E+Ol .1510E+03 .3109E-01 .6440031E+Ol 630. 0 .1550E+07 . 2501E+05 - .2927E+Ol .1504E+03 .2952E-01 .3952055E+Ol 640.0 .1567E+07 .2528E+05 .2964E+Ol .1499E+03 .2820E-01 .1620214E+Ol 648.0 . . 1581E+07 .2550E+05 . . 2993E+Ol .1494E+03 .2777E-01 .OOOOOOOE+OO
PALISADES NUCLEAR PI.A i;i. ~i.~i -;;,~;;- ~f -TSP:- lb -------------------,:- ----412 ~ 299 £1- EA-FC-949-01 Rev 3 *. UndisEfolved TSP .mass at 20 min, cuft =
- 0000 Sheet E7 Fraction of undissolved TSP at 20 min, % = . 0000
~ ----------------------------------------------------
/
.-.\
-~.-::t
- ~ ....
PALISADES NUCLEAR PLANT DISSOLUTION TIME (existing - 47 lb/ft3) EA-FC-949-01 Rev 3 1200 0.5 . 2.0 2.19309 47 1 10 1.188 22.547 7461.767 2938.316 Sheet ES 1 34 6 1 1 1 197.4 228841 206. 9 283267 207.2 296762 0 205.0 316995 30 184.8 394134 - 40 172.7 470279 50 164.7 540208 60 160.3 592890 70 160.2 614752 80 161.1 628719 90 161.8 642482 100 162.6 656127 150 167.2 725878 200 172.8 804147 250 177.6 884508 300 173.7 971985 350 169.4 1061890 400 165.5 1150730 450 161.8. 1238760 500 158.3 1326060 550 155.1 1412740 600 152.1 1498910 650 149.3 1584620 700 146.7 1669920 750 144.2 1754840 800 141.9 1839410 850 139.8 1923680 900 137.7 2007680 950 135.8 2091430 1000 134.0 2174960 1050 132.2 2258270 1100 130.5 2341370 1150 129.0 2424340 1200 og 127.4 0.009216667 2507160
.o 0.0283333333 0.0565 0.068333333 180 0.0895 190 0.1065
PALISADES NUCLEAR PIA DISSOLUTION TIME (existing 47 lb/ft3) EA-FC-949-01 Rev 3
----------------------------------------------------- sheet E9' Side length of TSP basket, ft 2.0000 Height or TSP, ft 2.1931 TSP bulk densityL lb/cuft 47.0000 Spacing between Dasket and sump floor, ft .5000 T"ime seep used in computations, sec 1. 0000 Constant A (flood level equation) = 1.188000 Constant B (flood level equation) - 22.547000 Constant C (flood level equation) = 7461.767000 Constant D (flood level equation) = 2938. 316000 Time, Mass.of Volume of Level of Temp, *SDR Mass of sec water, lb water,ft3 water, ft deg F lb/sec/ft2 .TSP, lb 10.0 .2833E+06 .4569E+04 .2184E+OO .2069E+03
--------- .1065E+OO ---------
.4123009E+03 20.0* .3170E+06 .5113E+04 .2912E+OO .2050E+03 .1065E+OO .4123009E+03 30.0 .3941E+06 .6357E+04 .4575E+OO . 1848E+03 . 9766E-01 .4123009E+03 .
40.0 .4703E+06 ~7585E+04 .6215E+OO .1727E+03 . 7405E-01 .4093198E+03 50.0 .5402E+06 .8713E+04 .7720E+OO .1647E+03 . 6206E-01 .4055764E+03 60.0 .5929E+06 .9563E+04 .. 8853E+OO . . 1603E+03 ~5685E-01 .4016291E+03 70.0 .6148E+06 .9915E+04 .9323E+OO .1602E+03 . 5674E-01 *. 3974896E+03 80.0 .6287E+06 ~1014E+05 .9623E+OO* .1611E+03 . 5780E-01 .3931385E+03 90.0 . 6425E+06 .. 1036E+05 .9918E+OO .1618E+03 .5863E-01 .3885778E+03 100.0 .6561E+06 .1058E+05 .1021E+01 .1626E+03 .5958E-01 . 3838079E+03 110.0 .6701E+06 :1081E+05 .1051E+01 .1635E+03 . .6067E-01 .3788125E+03 120.0 .6840E+06 .1103E+05 . 1081E+01 .1644E+03 . 6175E-01 . .3735800E+03 130.0 .6980E+06 .1126E+05 .1111E+Ol .1654E+03 . 6284E-01 .3681052E+03 140.0 .7119E+06 .1148E+05 .1141E+01 .1663E+03 . 6393E-01 .3623829E+03 150.0 . 7259E+06 .1171E+05 .1171E+Ol .1672E+03 . 6502E-01 .3564079E+03 160.0 .7415E+06 .1196E+05 .1204E+Ol .. 1683E+03 . 6635E-01 .3501520E+03 170.0 .7572E+06 .1221E+05 .1238E+01 .1694E+03 . 6767E-01 .3435898E+03 180.0 . 7728E+06 .1247E+05 .1272E+01 . 1706E+03 . . 6952E-01 . 3366985E+03 . 190. o* .7885E+06 .1272E+05 .1305E+01 ~ 1717E+03 . 7189E-01 .3293892E+03 200.0 .8041E+06 .1297E+05 .1339E+Ol .1728E+03 . 7426E-01 .3216388E+03 210.0 .8202E+06 .1323E+05 .1373E+01 .1738E+03 . 7629E-01 .3134S20E+03 220.0 .8363E+06 .1349E+05 .1407E-+01 . . 1747E+03 . 7832E-01 .3048313E+03 230.0 .8524E+06 .1375E+05 .1442E+Ol .1757E+03 . 8036E-01 .2957656E+03* 240.0 .8684E+06 .1401E+05 .1476E+01 .1766E+03 . 8239E-01 .2862438E+03 250.0 ~8845E+06 .1427E+05 .1511E+01 .1776E+03 . 8442E'-01 .2762547E+03 260.0 .9020E+06 .1455E+05 .1548E+01. .1768E+03 . 8277E-01 .2660247E+03
- 270.0 .9195E+06 .1483E+05 .1586E+01. .1760E+03 . 8112E-01 .2557520E+03 280.0 .9370E+06 .1511E+05 .1623E+Ol .1753E+03 . 7947E-01 .2454463E+03 290.0 .9545E+06 .1539E+05 .1660E+01 .1745E+03 . 7782E-01 .2351178E+03 300.0 .9720E+06 .1568E+05 .1698E+01 .1737E+03 . 7616E-01 .2247762E+03 310.0 .9900E+06 .1597E+05 .1736E+01 .1728E+03 . 7434E-01 .2117621E+03 320.0 .1008E+07 .1626E+05 .1775E+01 .1720E+03 . 7252E-01 .1994593E+03 330.0 . . 1026E+07 .1655E+05 .1813E+01 .1711E+03 . 7070E-01 .1878271E+03 340.0 .1044E+07 .1684E+05 .1851E+01 .1703E+03 . 6888E-01 .1768273E+03 350. o. .1062E+07 . . 1713E+05 .1890E+01 .* .1694E+03 . 6762E-01 .1663910E+03 360.0 .1080E+07 .1741E+05 .1928E+01 .1686E+03 . 6670E-01 .1563988E+03 370. 0 . . 1097E+07 .1770E+05 .1965E+Ol .1678E+03 . 6578E-01 ~1468201E+03 380.0 .1115E+07 .1799E+05 .2003E+01* .1671E+03 . 6485E-01 * .1376361E+03 390.0 .1133E+07 .1827E+05 ~2041E+01 .1663E+03 . 6393E-01 .1288287E+03 400.0 .1151E+07 .1856E+05 .2079E+01 .1655E+03 . 6301E-01 .1203810E+03 410.0. .1168E+07 .1884E+05 .2117E+01 .1648E+03 . 6213E-01 .1122734E+03 420.0 .1186E+07 .1913E+05 .2154E+Ol .1640E+03 . 6126E._ 01 .1044882E+03 430.0 .1204E.+07 .1941E+05 .2192E+01. .1633E+03 . 6038E-01
- 9 701136E+02 440.0 ; 1221E+O:T .1970E+05. .2229E+01 .1625E+03 .5951E-01 .8982940E+02 450.0 .1239E~07 .1998E+05 .2266E+Ol .1618E+03 . 5863E-01 .8292961E+02 460.0 .1256E+.07i;*- . 2026E+05 .2304E+Ol .1611E+03 . 5780E-01 .7629695E+02 470.0 .1274E-tO:Z'* .. . 2054E+05 .2341E+01 .1604E+03 .5697E-01 .. 6991778E+02 480.0 .1291E+OT . 2082E+05 .2378E+01 .1597E+03 .5565E-01 . 6379557E+02 490.0 .1309E+07 * .2111E+05 .2415E+01 .1590E+03 . 5368E-01 .5800922E+02 500.0 .1326E+07 .2139E+05 .2452E+01'. .1583E+03 . 5171E-01 .5255804E+02 510.0 .1343E+07 .2167E+05 .2489E+01 .1577E+03 . 4991E-01 . 4741620E+02 520.0 .1361E+07 .2195E+05 .2526E+01 .1570E+03 . 4811E-01 .4256143E+02 530.0 .1378E+07 .2223E+05 .2562E+01 .1564E+03 . 4630E-01 .3798041E+02 540.0* .1395E+07 .2251E+05 .2599E+01 .1557E+03 . 4450E-01 .3366072E+02 550.0 .1413E+07 .2279E+05 .2636E+01 .1551E+03 . 4270E-01 .2959076E+02 560.0 .1430E+07 .2306E+05 .2673E+01 .1545E+03 . 4101E-01 .2575410E+02 570.0 .1447E+07 .2334E+05 .2709E+01 .1539E+03 . 3932E-01 .2213641E+02 580.0 .1464E+07 .2362E+05 .2746E+Ol. .1533E+03 .3763E-01 .1872881E+02 590.0 .1482E+07 .2390E+05 .2782E+01 .1527E+03 . 3594E-01 .1552302E+02 600.0 .1499E+07 .2418E+05 .2819E+01 .1521-E+03 .3425E-01 .1251131E+02 610. 0 .1516E+07 .2445E+05 .2855E+01 .1515E+03 .3267E-01 . 9681261E+Ol 620.0 .1533E+07 .2473E+05 .2891E+01 .1510E+03 . 3109E-01 . 7022197E+Ol 630. 0 .1550E+07 .2501E+05 .2927E+01 .1504E+03 . 2952E-01 .4528254E+Ol 640.0 .1567E+07 .2528E+05 .2964E+01 .1499E+03 . 2820E-01 . 2190181E+Ol 650.0 .1585E+07 .2556E+05 .3000E+01 .1493E+03 . 2766E-01 .OOOOOOOE+OO
PALISADES NUCLEAR PLANT DISSOLUTION TIME (existing - 48 lb/ft3) EA-FC-949-01 Rev 3 12 0 0. 0.5 2.0 2 . 11/: 7 4 0 48 1 10 Sheet*Ell 1.188 22.547 7461.767 . 2938.316 1 34 6 1 1* 197.4 228841 206.9 283267 3 207. 2 296762 20 205.0 316995 30 184.8 394134 40 172.7 . 470279 50 164. 7 540208 60 160.3 592890 70 160.2 614752 80 161.1 628719 90 161.8 642482 100 162. 6 656127 150 167.2 725878 200 172.8 804147 250 177.6 884508 300 173. 7 971985 350 169.4 1061890 400 165.5 1150730 450 161.8 1238760 500 158.3 1326060 550 155.1 1412740 600 152.1 1498910 650 149.3 1584620 700 146.7 1669920 750 . 144.2 1754840 800 141.9 1839410 850 139.8 1923680 900 137.7 2007680 950 135.8 2091430 1000 134.0 2174960 1050 132.2 2258270 1100 130.5 2341370 1150 129.0 2424340 1200* 127.4 2507160 0 o~ 009216667. 0 0.0283333333 0 0.0565 . 70 0.068333333 180 o. 0895. 190 0 .1065
PALISADES NUCLEAR PLAl DISSOLUTION TIME (existing 48 lb/ft;3) EA-FC-949-01 Rev 3 Side lentth of TSP basket, ft; * =
- 2.0000 She e t El2 Height; o TSP, ft = . 2.1474 .
- TSP bulk density lb/cuft; = 48. 0000 * *
~:fJt>cin~ between basket and sump floor, f t = .5000 ime s ep used in* computations, sec * = 1.0000 Constant A (flood level equation) = 1.188000. Constant B (flood level equation) = 22.547000 Constant c (flood level equation) = 7461.767000 Constant D (flood level equation) = 2938.316000.
---------------~--------------------------------~---
Time, Mass of Volume of Level of Temp, SDR, Mass of sec
- water, lb water, ft;3 water, ft; deg F lb/sec/ft;2 TSP,lb 10.0
.2833E+06 . 4569E+04 .2184E+OO .2069E+03
.1065E+OO .4123008E+03 20.0 .3170E+06 .5113E+04 .2912E+OO .2050E+03 .1065E+OO .4123008E+03 30.0 .3941E+06 . 6357E+04 .4575E+OO .1848E+03 .9766E-,01 .4123008E+03 40.0 .4703E+06 .7585E+04 .6215E+OO .1727E+03 . 7405E-01 .4093197E+03 50.0 .5402E+06 .8713E+04 .7720E+OO .1647E+03 . 6206E-01 . 4055763E+03 60.0 .5929E+06 .9563E+04 .8853E+OO .1603E+03 . 5685E-01 .4016289E+03 70.0 .6148E+06 .9915E+04 .9323E+OO .1602E+03 . 5674E-01 . 3974895E+03..
80.0 .6287E+06 .1014E+05 . 9623E+OO .1611E+03 . 5780E-01 .3931384E+03 90.0 .6425E+06 .1036E+05 .9918E+OO .1618E+03 . 5863E-01 .3885777E+03 100.0 .6561E+06 .1058E+05 .1021E+Ol .1626E+03 .5958E-01 .3838077E+03 110.0 . 6701E+06 .1081E+05 .1051E+Ol .1635E+03 . 6067E-01 .3788124E+03 120.0 .6840E+06 .1103E+05 .1081E+Ol .1644E+03 . 6175E-01 . 3735799E+03 130.0 .6980E+06 .1126E+05 .llllE+Ol .1654E+03 . 6284E-01 .3681051E+03 140.0 . 7119E+06 .1148E+05 .1141E+Ol .1663E+03 . 6393E-01 . 3623828E+03 150.0 .7259E+06 .1171E+05 . ll 71E+Ol .1672E+03 . 6502E-01 .3564077E+03 160.0 .7415E+06 .1196E+05 .1204E+Ol .1683E+03 . 6635E-01 .3501518E+03 170.0 .7572E+06 .1221E+05 .1238E+Ol .1694E+03 . 6767E-01 .3435897E+03 180.0 .7728E+06 .1247E+05 .1272E+Ol .1706E+03 . 6952E-01 *. 3366984E+03 190.0 .7885E+06 .1272E+05 .1305E+Ol ."1717E+03 . 7189E-01 .3293891E+03 200.0 .8041E+06 .1297E+05 .1339E+Ol .1728E+03 . 7426E-01 .3216387E+03* 210.0 .8202E+06 .1323E+05 .1373E+Ol .1738E+03 . 7629E-01 . 3134518E+03 ** 220.0 .8363E+06 .1349E+05 . 1407E+Ol .1747E+03 . . 7832E-01 . 304834.2E+03 230.0 .8524E+06 .1375E+05 . 1442E+01 .1757E+03 . 8036E-01 . 2957655E+03 . 240.0 .8684E+06 .1401E+05 .1476E+01 . . 1766E+03 . 8239E-01 . .2862436E+03
- 250.0 .8845E+06 .1427E+05 .1511E+01 .1776E+03 .8442E-01 .2762545E+03 260.0 .9020E+06 *. .1455E+05 .1548E+01 .1768E+03 . 8277E-01 .2660246E+03 270.0 .9195E+06 .1483E+05 .1586E+01 . . 1760E+03 . 8112E-01 .2557519E+03 280.0 .9370E+06 .1511E+05 .1623E+Ol .1753E+03 . 7947E-01 .2454462E+03 290. 0 .9545E+06 . . 1539E+05 .1660E+01 .1745E+03 . 7782E-01 .2351176E+03 300. o.* .9720E+06 .1568E+05 ~ 1698E+Ol .1737E+03 . 7616E-01 .2238859E+03 310.0 .9900E+06 .1597E+05 .1736E+Ol .1728E+03 . 7434E-01 .2110431E+03 320.0 .1008E+07 .1626E+05 .1775E+01 .1720E+03 . 7252E-01 .1988942E+03 330.0 .1026E+07 .1655E+05 .1813E+01 .1711E+03 . 7070E-01 .1874000E+03 340.0 .1044E+07 .1684E+05 .1851E+Ol .1703E+03 .6888E-01 .1765240E+03 350.0 .1062E+07 .1713E+05 .1890E+01 .1694E+03 . 6762E-01 .1661988E+03 360 .. 0 .1080E+07 .1741E+05 .1928E+Ol .1686E+03 . 6670E-01 .1563069E+03 370. 0 .1097E+07 .1770E+05 .1965E+Ol .1678E+03 . 6578E-01 .1468189E+03 380. 0 . . 1115E+07 .1799E+05 .2003E+Ol .1671E+03 . 6485E-01 .1377164E+03 390.0 .1133E+07 .1827E+05 .2041E+01 .1663E+03 . 6393E-01 .1289823E+03 400.0 .1151E+07 .1856E+05 .2079E+01 . . 1655E+03 . . 6301E-01 .1206000E+03 410.0 . . 1168E+07 .1884E+05 .2117E+01 .1648E+03 . 6213E-01 .1125507E+03
*420.0 .1186E+07* *.1913E+05 .2154E+Ol .1640E+03 . 6126E.-01 .1048172E+03 430.0 .1204E+07 .. . 1941E+05 .2192E+01 .1633E+03 . 6038E-01 .9738598E+02 440.0 .1221E+07* .1970E+05 * .2229E+01 .. 1625E+03 .5951E-01 .9024400E+02 450.0 .1239E+0:7-c . . 1998E+05 .2266E+Ol .1618E+03 .5863E-01 .8337899E+02 460.0 .1256E+07 * .2026E+05 .2304E+01 .1611E+03 . 5780E-01 .7677632E+02 470.0 .1274E+OT * .2054E+05 * .2341E+01 .1604E+03 .5697E-01 . 7042274E+02 480.0 .1291E+0.7/ .2082E+05 .2378E+Ol .1597E+03 .5565E-01 . . 6432200E+02 490*. O* .1309E+07 ~2111E+05 .2415E+Ol .1590E+03 . 5368E-01 .5855309E+02 500.0 .1326E+07 .2139E+05 .2452E+Ol .1583E+03 . 5171E-01 .5311575E+02 510. 0 .1343E+07 .2167E+05 .2489E+01 .1577E+03 . 4991E-01 . 4 798461E+02 520.0 .1361E+07 .2195E+05 .2526E+Ol .1570E+03 . 4811E-01 .4313779E+02 530.0 . 1378E+07 .2223E+05 .2562E+01 . .1564E+03 .4630E-Ol .3856232E+02 540.0 .1395E+07 .2251E+05 . 2599E+Ol .1557E+03 .4450E-01 . 3424608E+02 .
550.0 .1413E+07 .2219E+o5* .2636E+01 .1551E+03 .4270E-01 .3017777E+02 560.0 .1430E+07 .2306E+05 .2673E+Ol .1545E+03 . 4101E-01 .2634120E+02 570.0 .1447E+07 .2334E+05 .2709E+01 .1539E+03 .3932E-01 .2272229E+02 580.0 .1464E+07 .2362E+05 .2746E+Ol .1533E+03 .3763E-01 .1931235E+02
..* 590~ 0 .1482E+07 .2390E+05 .27.82E+01 .1527E+03 .3594E-01 .1610327E+02 600.0 .1499E+07 .2418E+05 .2819E+Ol .1521E+03 .3425E-01 .1308752E+02
.1516E+07 .2445E+05 .2855E+Ol .1515E+03 * . 3267E-01 .1025281E+02
- 1 020.0. 0 .1533E+07 . . 2473E+05 * .2891E+Ol .1510E+03 .3109E-01 .* .7588594E+Ol 30.0 .1550E+07 .2501E+05 .2927E+Ol .1504E+03 .2952E-01 .5089128E+Ol 640.0 .1567E+07 .2528E+05. .2964E+Ol .1499E+03 . 2820E-01 .2745263E+Ol 650.0 .1585E+07 .2556E+05 .3000E+Ol .1493E+03 . 2766E-01 *. 4927446E+OO
653.0 .1590E+07 .2564E+05 .3011E+Ol .1491E+03 .2752E-01 .OOOOOOOE+OO Initial mass of TSP, lb 412.3008 Undissolved TSP mass at 20 min, cuft .0000 Fraction of undissolved TSP at 20 min, -%"
- 0000 PALISADES NUCLEAR PLAN' EA-FC-949-01 Rev 3 Sheet E13
DISSOLUTION TIME (existing - 49 lb/ft3) PALISADES.NUCLEAR PLANT 1200 0.5 2.0 2.1V357*
- 49 1 10 EA-FC-949-01 .Rev 3 l.188 22.547. 7461.767 . 2938.316 Sheet El4 1 . 34 6 .
1 1 197.4 228841 206.9 . 283267 3 201.2* "296762 20 205.0 316995 30 184.8 394134 40 172.7 470279
'50 164.7. 540208 60 160.3 592890 70 160.2 614752 80 161. l 628719 90 161.8 642482 100 162.6 656127.
150 167.2 725878 200 172.8 804147 250 177.6 . 884508 300 173.7 971985 350 169.4 1061890 400 165.5 1150730 450 161.8 1238760 500 158.3 1326060 550 155.1 1412740 600 152~1 1498910 650 149.3 1584620 700 146.7 1669920 750 144;2 1754840 800. 141.9 1839410 850 139.8 1923680 900 137.7 2007680 950 135.8 2091430 1000 134.0 2174960 1050 132.2. 2258270 1100 -130.5 2341370 1150 129;0 2424340 -~12go 127.4 0.009216667 2507160 . 0 0.0283333333 ..* 18 0.0565 0.068333333 180 0.0895 190 0.1065
PALISADES NUCLEAR PLAI DISSOLUTION TIME (existing 49 lb/ft3) EA-FC-949-01 Rev 3 sid.~ i~;gth -;f- TSP -b~;,k~t: :- ft - - - - - - - ,. - ,. - - -,:- - - - - - -2 ~ 0000 Sheet ElS Height or TSP, ft
- 2.1036 TSP bulk density lb/cuft = 49.0000 SP.acing between ,basket and ,sump floor,* ft = * *. 5000 T"ime seep used in computations, sec 1.0000 Constant A (flood level equation) 1.188000 Constant B (flood level equation) = 22.547000 Constant C (flOod level equation{ 7461. 767000 Constant D (flood. level equation) = 2938. 31*6000 Time, Mass of Volume of Level of Temp, SDR, Mass of sec water, lb water, ft3 water, ft deg F lb/sec/ft2
- TSP, lb
*10.0 .2833E+06 .. 4569E+04 .2184E+OO . ;2069E+03 .1065E+OO .4122997E+03 20.0 .3170E+06 .5113E+04 .2912E+OO .2050E+03 .1065E+OO .4122997E+03 30.0 .3941E+06 .6357E+04 .4575E+OO .1848E+03 .9766E-Ol .4122997E+03 40.0 .4703E+06 .7585E+04 . 6215E+OO. .1727E+03 . 7405E-01 .4093186E+03 50.0 .5402E+06 .8713E+04 . 7720E+OO .1647E+03 . o206E-Ol .4055752E+03 _;
60.0 .5929E+06 .9563E+04 .8853E+OO .1603E+03 . 5685E-Ol . 4016279E+03 70.0 .6148E+06 .9915E+04 .9323E+OO .1602E+03 . 5674E-Ol .3974884E+03 80.0 .6287E+06 .1014E+05 .9623E+OO .1611E+03 . 5780E-01 .3931373E+03 90.D .6425E+06 .1036E+05 .9918E+OO .1618E+03 .5863E-Ol .3885766E+03 100.0 .6561E+06 .1058E+05 .1021E+Ol .1626E+03 * . 5958E-Ol .3838067E+03 110.0 .6701E+06 .1081E+05 .1051E+Ol .1635E+03 . 6067E-Ol .3788113E+03 120.0 .6840E+06 .1103E+05 .1081E+Ol .1644E+03 . 6175E-01 .3735788E+03 130.0 .6980E+06 .1126E+05 .llllE+Ol . 1654E+03 . 6284E-Ol . .3681040E+03 140.0 .7119E+06 .1148E+05 .1141E+Ol .1663E+03 . 6393E-01 . 3623817E+03 150.0 .7259E+06 .1171E+05 .1171E+Ol .1672E+03 . 6502E-Ol .3564067E+03 160.0 .7415E+06 .1196E+05 .1204E+Ol .1683E+03 . 6635E-01 .3501508E+03 . 170.0 .7572E+06 .1221E+05 .1238E+Ol .1694E+03 . 6767E-Ol .3435886E+03 180.0 .7728E+06 .1247E+05 .1272E+Ol .1706E+03 .. 6952E-Ol .3366973E+03 190.0 .7885E+06 .1272E+05 .1305E+Ol .l 717E+03 . 7189E-Ol .3293880E+03
. 200. 0 . 8041E+06 .1297E+05 .. 1339E+Ol .1728E+03 . 7426E-Ol .3216376E+03 210.0 .8202E+06 .1323E+05 .1373E+Ol . l 738E+03 . 7629E-Ol . 31345,08E+03 220.0 .8363E+06 .1349E+05 .1407E+Ol . l 747E+03 . 7832E-Ol . 3048301E+03 230.0 .8524E+06 .1375E+05 .1442E+Ol .l 757E+03 . 8036E-Ol . 2957644E+03.
240.0 .8684E+06 .1401E+05 .1476E+Ol . l 766E+03 . 8239E-Ol .2862426E+03 250.0 .8845E+06 .1427E+05 .1511E+Ol .1776E+03 . 8442E-01 .2762535E+03 .. 260. 0 . 9020E+06 .1455E+05 .1548E+Ol . 1768E+03 . 8277E-Ol . 2660235E+03.
- 270.0 .9195E+06 .1483E+05 .1586E+Ol .1760E+03 . 8112E..,.Ol .2557508E+03 280.0 .9370E+06 .1511E+05 . . 1623E+Ol .1753E+03 . 7947E-Ol .2454451E+03 290.0 .9545E+06 .1539E+05 .1660E+Ol . l 745E+03 . 7782E-Ol .2351166E+03 300.0 .9720E+06 .1568E+05 .1698E+Ol. ~l 737E+03 . 7616E-Ol .2230358E+03 310.0 .9900E+06 .1597E+05 . l 736E+Ol . l 728E+03 . 7434E-Ol .2103561E+03 320.0 .1008E+07 .1626E+05 . l 775E+Ol * .l 720E+03 . 7252E-Ol .1983540E+03 330.0 .1026E+07 .1655E+05 .1813E+Ol .1711E+03 . 7070E-Ol . . 1869916E+03 340.0 .1044E+07 .1684E+05* .1851E+Ol .l 703E+03 . 6888E-Ol .1762339E+03 350.0 .1062E+07 .1713E+05 .1890E+Ol .1694E+03 . 6762E-Ol .1660149E+03 360.0 .1080E+07 .1741E+05 .1928E+Ol .1686E+03 . 6670E-Ol .1562192E+03 370.0 * .1097E+07 ;1770E+05 .1965E+Ol .1678E+03 . 6578E-Ol .1468180E+03 380.0 . . 1115E+07 .1799E+05 .2003E+Ol .1671E+03 . 6485E-Ol .1377938E.+03 390.0 .1133E+07 .1827E+05 .2041E+Ol .1663E+03 . 6393E-Ol .1291300E+03 400.0 .1151E+07 .1856E+05 .2079E+Ol .*1655E+03 . 6301E-Ol .1208106E+03 410.0 .1168E+07 * .1884E+05 .2117E+Ol . 1648E+03 . 6213E-Ol .1128175E+03 .
420.0 .1186E+07 * .1913E+05 .2154E+Ol .1640E+03 . 6126E-Ol .1051339E+03 430.0 .1204E+07 **.1941E+05 .2192E+Ol .1633E+03 . 6038E-Ol .9774673E+02 440.0 .1221Et0.7 . ' .1970E+05 .2229E+Ol * .1625E+03 . 5951E-Ol .9064346E+02
- 450. 0 .1239E+V7 ~ .1998E+05 .2266E+Ol .1618E+03 . 5863E-Ol .8381219E+02 460. 0 .1256E+.07 . 2026E+05 .2304E+Ol * .1611E+03 . 5780E-Ol .7723868E+02 4 70. 0 .1274E+07 ' . 2054E+05 .2341E+Ol .1604E+03* . 5697E-Ol .7091005E+02 480. O .1291E+O*T . 2082E+05 .2378E+Ol ~ 1597E+03 .5565E-Ol. .6483031E+02 490.0 .1309E+07* .2111E+05 .2415E+Ol .1590E+03 . 5368E-Ol .5907854E+02 500.0 .1326E+07 .2139E+05 .2452E+Ol .1583E+03 . 5171E-Ol * .5365488E+02 510.0 .1343E+07 .2167E+05 .2489E+Ol .1577E+03 . 4991E-Ol .4853437E+02 520.0 .1361E+07 .2195E+05 .2526E+Ol . 1570E+03 . 4811E-Ol . .4369555E+02 530.0 .1378E+07 .2223E+05 * .2562E+Ol . . 1564E+03 .4630E-Ol . 3912576E+02
- 540.0 .1395E+07 .2251E+05 .2599E+Ol .1557E+03 . 4450E-Ol .3481317E+02 550.0 .1413E+07 .2279E+05 .2636E+Ol .1551E+03 . 4270E-Ol .3074677E+02 560.0 .1430E+07 .2306E+05 .2673E+Ol .1545E+03 . 4101E-01 .2691060E+02 570.0 .1447E+07 .2334E+05 .2709E+Ol* .1539E+03 . 3932E-Ol . 2329079E+02 580.0 .1464E+07 .2362E+05 .2746E+Ol .1533E+03 .3763E-Ol .1987887E+02 590.0 .1482E+07 .2390E+05 .27B2E+Ol .1527E+03 . 3594E-Ol .1666691E+02 600.0 .1499E+07 .2418E+05 .2819E+Ol .1521E+03 .3425E-01 .1364 751E+02 610.0 .1516E+07 .2445E+05 .2855E+Ol .1515E+03 . 3267E-Ol .1080855E+02 620.0 .1533E+07 .2473E+05 .2891E+Ol .1510E+03 . 3109E-Ol .8139591E+Ol 630. 0 * .1550E+07 . 2501E+05 .2927E+Ol . . 1504E+03 .2952E-01 .5635016E+Ol
. 640. 0 .1567E+07 . 2528E+05 . .2964E+Ol .1499E+03 .2820E-01 .3285769E+Ol 650. 0 .1585E+07 . 2556E+05 .3000E+Ol .1493E+03 . 2766E-Ol .1027534E+Ol
655.0 * .1593E+07 .2570E+05 .3018E+Ol .1490E+03 .2742E-01 .OOOOOOOE+OO Initial mass of TSP, lb 412.2997 Undissolved TSP mass at 20 min, cuft .0000 Fraction of undissolved TSP at 20 min, ~ .0000 PALISADES NUCLEAR PLAN'I EA-FC-949-01 Rev 3 Sheet El6
DISSOLUTION TIME (existing - 50 lb/ft3) PALISADES NUCLEAR PLANT 1200 o.5 2.0 2.00150 50 1 10 EA-FC-949-01 Rev 3
. 22.547 7461.767 2938.316 Sheet E17 34 6 1 1 197.4 228841 0 206.9 283267 3 207.2 296762 20 205.0 316995 30 184.8 394134 40 172.7 470279 50 164. 7 540208 60 160.3 592890 70 160.2 614752 80 161.1 628719 90 161.8 642482 100 162.6 656127 150 167. 2 725878 200 172.8 804147 250 177.6 884508 300 173.7 971985 350 169.4 1061890 400 165.5 1150730 450 161.8 1238760 500 158.3 1326060 550 155.1 1412740 600 152.1 1498910 650 149.3 1584620 700 146.7 1669920 750 144.2 1754840 800 141.9 1839410 850 139.8 1923680 900 137.7 2007680 950 135.8 2091430 1000 134.0 2174960 1050 132.2 2258270 1100 130.5 2341370 1150 129.0 2424340 1200 127.4 2507160 30 0.009216667 0 0.0283333333 60 0.0565 70 0.068333333 180 0.0895 190 0 .1065
PALISADES NUCLEAR PLA. DISSOLUTION TIME (existing 50 lb/ft3) . EA-FC-949-01 Rev 3 sici~ -i~;;gth-;f-TSP -b~~k~t:-;t:- -- -------- --,:- - ---- -2 ~ 0000 Sheet Ela Height or TSP, ft * = 2. 0615 TSP bulk density lb/cuft . * = 50. 0000 SP.acing between.basket and.sump floor, ft .5000 T"ime s'tep used in computations, sec = 1. 0000
- Constant A (flood level equation) = 1.188000 Constant B (flood level equation) 24.547000 Constant C (flood level equation) = 7461. 767000 Constant D (flood level equation) = 2938. 31*6000 Time, Mass of Volume of Level of Temp, SDR . Mass of sec water,lb .water,ft3 water,ft deg F lb/sec/ft2 TSP,lb 10.0 .2833E+06 .4569E+04 .2184E+OO .2069E+03
--------- .1065E+OO ---------
.4123000E+03 20.0 .3170E+06 .5113E+O~ .2912E+OO .2050E+03 .1065E+OO .4123000E+03 30.0 .3941E+06 .6357E+04 .4575E+OO .1848E+03 .9766E-01 .4123000E+03 40.0 .4703E+06 .7585E+04 .6215E+OO .1727E+03 .7405E-01 .4093189E+03 50.0 ~5402E+06 .8713E+04 .7720E+OO .1647E+03 .6206E-01 . 4055755E+03
- 60.0 .5929E+06 . 9563E+04 .8853E+OO .1603E+03 .5685E-01 .. 4016281E+03 70.0 .6148E+06 .9915E+04 .9323E+OO .1602E+03 .5674E-01 .3974887E+03 80.0 .6287E+06 .1014E+05 . 9623E+OO .1611E+03 .5780E-01 .3931376E+03 90.0 .6425E+06 .1036E+05 .9918E+OO .1618E+03 .5863E-01 . 3885769E+03 100.0 .6561E+06 .1058E+05 .1021E+Ol . 1626E+03 .5958E-01 . 3838069E+03 .
110.0 .6701E+06 .1081E+05 .1051E+Ol .1635E+03 . 6067E._01 .3788116E+03* 120.0 .6840E+06 .1103E+05 .1081E+Ol .1644E+03 .6175E-01 . 3735791E+03 130.0 .6980E+06 .1126E+05 .llllE+Ol .1654E+03 .6284E-01 .3681043E+03 140.0 .7119E+06 .1148E+05 .1141E+Ol .1663E+03 .6393E-01 .3623820E+03 150.0 .7259E+06 .1171E+05 . ll 71E+Ol .1672E+03 .6502E-01 . 3564069E+03 160.0 .7415E+06 .1196E+05 .1204E+Ol .1683E+03 . 6635E-01 .3501510E+03 170. 0 .7572E+06 .1221E+05 .1238E+Ol .1694E+03 . . 6767E-01 .3435889E+03 180.0 .7728E+06 .1247E+05 .1272E+Ol .1706E+03 .6952E-01 .3366976E+03 190.0 .7885E+06 .1272E+05 .1305E+Ol .1717E+03 ~ 7189E-01 .3293883E+03 200.0 .8041E+06 .1297E+05 * .1339E+Ol .1728E+03 .7426E-01 . 3216379E+03 210.0 .8202E+06 .1323E+05 .1373E+Ol .1738E+03 .7629E-01 .3134510E+03 220.0 .8363E+06 .1349E+05 .1407E+Ol .1747E+03 .7832E-01 . 30483'04E+03 230.0 .8524E+06 .1375E+05 .1442E+Ol .1757E+03 .8036E-01 .2957647E+03 240.0 .8684E+06 .1401E+05 .1476E+Ol .1766E+03. . 8239E-01 .2862428E+03 250.0 ~8845E+06 .1427E+05 .1511E+Ol .1776E+03 .8442E-01* .2762537E+03 260.0 .9020E+06 .1455E+05 .. 1548E+Ol .1768E+03 .8277E-01 .2660238E+03 270.0 .9195E+06 .1483E+05 .1586E+Ol .1760E+03 _ . 8112E-01 .2557511E+03
- 280.0 . 9370E+06 .* .1511E+05 .1623E+Ol .1753E+03 .7947E-01 .2454454E+03
- 290. 0 .9545E+06 .1539E+05 .1660E+Ol .1745E+03* .7782E-01 .2351168E+03 300.0 .9720E+06 .1568E+05 .1698E+Ol .1737E+03 .7616E-01 * . 2225281E+03
.310.0 .9900E+06 .1597E+05 .1736E+Ol .1728E+03 .7434E-01 . 2099951E+03
- 320.0 .1008E+07 .1626E+05 .1775E+Ol .1720E+03 .7252E-01 .1981244E+03 330.0 .1026E+07 .1655E+05 .1813E+Ol .1711E+03 .7070E-01 .1868799E+03 340.0 .1044E+07 . . 1684E+05 . . 1851E+Ol .1703E+03 .6888E-01 .1762276E+03 350.0 .1062E+07 .1713E+05 *.1890E+Ol .1694E+03 .6762E-01 .1661030E+03 360.0 .1080E+07 .1741E+05 .1928E+Ol .1686E+03 .6670E-01 .1563924E+03 -
370.0 .1097E+07 .1770E+05 .1965E+Ol .1678E+03 . 6578E-01* .1470678E+03 380.0 . 1115E+07 .1799E+05 .2003E+Ol .1671E+03 .6485E-01 .1381123E+03 . 390. 0 .1133E+07 .1827E+05 .2041E+Ol .1663E+03 .6393E~Ol .1295099E+03 400.0 .1151E+07 .1856E+05 .2079E+Ol .1655E+03 .6301E-01 . . 1212452E+03 410.0 .1168E+07 .1884E+05 .2117E+Ol .1648E+03 ;6213E-01 .1133004E+03 420.0 .1186E+07 .1913E+05 *. .2154E+Ol .1640E+03 .6126E-01 .1056595E+03 430.0 .1204E+07 .1941E+05 .2192E+Ol .1633E+03 .6038E-01 . 9830963E+02 440.0 .1221E+07 .1970E+05 .2229E+Ol .1625E+03 .5951E-01 .9123874E+02 450.0 .1239E+07 ~1998E+05 .2266E+Ol . . 1618E+03 . . 5863E-01 .8443530E+02 460.0 .1256E+07. - . 2026E+05 .2304E.f.Ol .1611E+03 .5780E-01 .7788543E+02 470.0 .1274E+O:T . . 2054E+05 .2341E+Ol .1604E+03 .5697E-01 .7157657E+02 480.0 .1291E+07. . 2082E+05 . 2378E+Ol .1597E+03. . 5565E-01 .6551301E+02 490. 0 .1309E+07~ * . 2111E+05 .2415E+Ol .1590E+03 .5368E-01 .5977392E+02 500.0 .1326E+07 .2139E+05 .2452E+Ol .1583E+03 . . 5171E-01 .5435985E+02 510.0 .1343E+07 .2167E+05 .2489E+Ol .1577E+03 . . 4991E-01 .4924624E+02 520.0 .1361E+07 .2195E+05 .2526E+Ol .1570E+03 .4811E-01 .4441195E+02 530.0 .1378E+07 .2223E+05 .2562E+Ol .1564E+03 .4630E-01 .3984464E+02 540.0 .1395E+07 .2251E+05 * .2599E+Ol .1557E+03 .4450E-01 .3553277E+02 550.0 .1413E+07 .2279E+05 .2636E+Ol .1551E+03 .4270E-01 .3146556E+02 560.0 .1430E+07 .2306E+05* .2673E+Ol .1545E+03 .4101E-01 .2762729E+02 570.0 .1447E+07 .2334E+05 .2709E+Ol ;l539E+03 .3932E-01 .2400429E+02 580. 0 . . 1464E+07 .2362E+05 .2746E+Ol .1533E+03 .3763E-01 .2058825E+02 590. 0 .1482E+07 .2390E+05 .2782E+Ol .1527E+03 .3594E-01 .1737142E+02 600.0 .1499E+07 .2418E+05 .2819E+Ol .1521E+03 .3425E-01 .1434657E+02 610. 0 .1516E+07 .2445E+05 .2855E+Ol .1515E+03 ~3267E-01 .1150168E+02 620. 0 .1533E+07 .2473E+05 .2891E+Ol .1510E+03 .3109E-01 .8826433E+Ol 630. 0 .1550E+07 .2501E+05 .2927E+Ol .1504E+03 .2952E-01 .6315319E+Ol 640. 0 .1567E+07 .2528E+05 .2964E+Ol .1499E+03 .2820E-01 .3959369E+Ol 650.0 .1585E+07 .2556E+05 .3000E+Ol .1493E+03 .2766E-01 .1694166E+Ol
658.0 .1598E+07 .2578E+05 .. 3029E+Ol .1489E+03 .2727E~Ol .OOOOOOOE+OO Initial mass of TSP, lb = 412.3000 Undissolved TSP mass at 20 min, cuft = .0000 Fraction of undissolved TSP at 20 min, ~ .0000 PALISADES NUCLEAR PLAN~ EA-FC-949-01 Rev 3 Sheet E19
' \
PALISADES NUCLEAR PLANT DISSOLUTION TIME ( existin~ - 51 lb/ft3) EA-FC-949-01 Rev 3 1200 0.5 2.0 2.0 108 51 1 10 1.188 22.547 7461. 767 2938.316 Sheet E20 1 34 6 1 1 197. 4 228841 206.9 283267 207.2 296762 20 205.0 316995 30 184.8 394134 40 172. 7 470279 50 164. 7 540208 60 160.3 592890 70 160.2 614752 80 161.1 628719 90 161. 8 642482 100 162.6 656127 150 167 .2 725878 200 172. 8 804147 250 177.6 884508 300 173. 7 971985 350 169. 4 1061890 400 165.5 1150730 450 161. 8 1238760 500 158.3 1326060 550 155.1 1412740 600 152.1 1498910 650 149.3 1584620 700 146.7 1669920 750 144.2 1754840 800 141.9 1839410 850 139.8 1923680 9,00 137.7 2007680 950 135.8 2091430 1000 134.0 2174960 _\ 1050 132.2 2258270 ' 1100 130.5 2341370 1150 129.0 2424340 200 127. 4 2507160 0 0.009216667 0 0.0283333333 0 0.0565 170 0.068333333 180 0.0895 190 0.1065
PALISADES NUCLEAR PLU DISSOLUTION TIME (existing 51 lb/ft3) EA-FC-949-01 Rev 3 sid~-1~;gth-~i-TsP-b~;k~t~-it-------------:-------2~oooosheet E21 Height or TSP, ft = 2.0211 TSP bulk density lb/cuft = 51. 0000 SP,acing between ,basket and ,sump fl.oar, ft . 5000 T"ime seep used in computations, sec 1.0000 Constant A (flood level equat~on) 1.188000
- Constant. B (flood level equation) = 22.547000 Constant C (flood level equation) 7461.767000 Constant D (flood level equation) 2938.316000 Time, Mass of Volume of Level of. TempF SDR, Mass of sec water, lb water,ft3 water,ft deg lb/sec/ft2 TSP, lb 10.0 .2833E+06 . 4569E+04 .2184E+OO .2069E+03 .106SE+OO .4123003E+03 20.0 .3170E+06 .5113E+04 .2912E+OO .2050E+03 .1065E+OO .4123003E+03 30.0 .3941E+06 * . 6357E+04 .4575E+OO .1848E+03 .9766E-01 .4123003E+03 40.0 .4703E+06 . 7585E+04 ..6215E+OO .1727E+03 . 7405E-01 .4093192E+03 50.0 .5402E+06 . 8713E+04 .7720E+OO .1647E+03 . 6206E-01 .4055758E+03 60.0 .5929E+06 .9563E+04 .8853E+OO .1603E+03 . 5685E-01 .4016285E+03
- 70. 0 . . 6148E+06 .9915E+04 .9323E+OO .1602E+03 . 5674E-01 . 3974890E+03--,
80.0 .6287E+06 .1014E+05 .9623E+OO .1611E+03 .5780E-01 . 3931379E+03 90.0 .6425E+06 .1036E+05 .9918E+OO* .1618E+03 .5863E-01 100.0 * . 6561E+06 . 1058E+05 .1021E+Ol. * .1626E+03 .5958E-01 : ~~~~~~-~~:g~ 110.0 .6701E+06 .1081E+05 .1051E+Ol * .163.SE+03 . 6067E-01 . 3 788119E+03 120.0 . 6840E+0*6 .1103E+05 .1081E+Ol .1644E+03 . 6175E-01 . 3 735794E+ 03 130.0 . 6980E+06 * .1126E+05 .llllE+Ol .1654E+03 . 6284E-01 . 3681046E+03 140.0 .7119E+06 .1148E+05 .1141E+Ol .1663E+03 . 6393E-01 .3623823E+03 150.0 *. 7259E+06 .1171E+05 . ll 71E+Ol .1672E+03 .6502E-01 .3564073E+03 160.0 .7415E+06 .1196E+05 . 1204E+Ol .1683E+03 . 6635E-01 .3501514E+03 . 170.0 .7572E+06 .1221E+05 .1238E+Ol .1694E+03 .6767E-01 .3435892E+03 180.0 .7728E+06 * .1247E+05 .1272E+Ol .*1706E+03 . 6952E-01 . 3366979E+03 190.0 .7885E+06 .1272E+05 .1305E+Ol .1717E+03 .7189E-01 . 3293886E+03 200.0 .8041E+06 .1297E+05 .1339E+Ol .1728E+03 . 7426E-01 .3216382E+03* 210.0 .8202E+06 .1323E+05 . 1373E+Ol .1738E+03 . 7629E-01 . .3134514E+03 220.0 . 8363E+06 .1349E+05 . . 1407E+01 .1747E+03 . 7832E-01 .3048307E+03 230.0 .8524E+06 .1375E+05 .1442E+Ol .1757E+03 . 8036E-01 .2957650E+03 240.0 .8684E+06 .1401E+05 . .1476E+01 .1766E+03 . 8239E-01 .2862432E+03 250.0 .8845E+06 .1427E+05 .1511E+Ol .1776E+03 . 8442E-01 .2762541E+03 260.0 .9020E+06 .1455E+05 .1548E+01 .1768E+03 . 8277E-01 .2660241E+03 270.0 .9195E+06 .1483E+05 .1586E+01 .1760E+03 . 8112E-01 .2557514E+03 280.0 .9370E+06 * .1511E+05 .1623E+01 ~ 1753E+03 . 7947E-01 .2454457E+03 290.0 .9545E+06 .1539E+05 .1660E+01 .. . 1745E+03 . 7782E-01 .2348076E+03 300.0 .9720E+06 .1568E+05 .1698E+01 * ~ 1737E+03 . 7616E-01 .2217513E+03 310.0 .9900E+06 .1597E+05 .1736E+01 .1728E+03 . 7434E-01 . 2093671E+03 320'. 0 . 1008E+07 .1626E+05 .1775E+Ol .1720E+03 . 7252E-01 .1976304E+03 . 330.0 .1026E+07 .1655E+05 .1813E+Ol .1711E+03 . 7070E-01 .1865065E+03 340.0 .1044E+07 .1684E+05 .1851E+01 .1703E+03 . 6888E-01 .1759626E+03 350.0 .1062E+07 .1713E+05 .1890E+01 .1694E+03 . 6762E-01 .1659356E+03 360.0 .1080E+07 .1741E+05 :1928E+01 ~1686E+03 . 6670E-01 .1563134E+03 370.0 .1097E+07 .1770E+05 .1965E+01 .1678E+03 . 6578E-01 .1470689E+03 380.0 * .1115E+07 .1799E+05 . .2003E+01 .1671E+03 . 6485E-01 .1381858E+03 390.0 .1133E+07 .1827E+05 . 2041E+o1 * .1663E+03 . 6393E-01 .1296485E+03 400.0 .1151E+07 .1856E+05 .2079E+Ol .1655E+03 . 6301E-01 . . 1214422E+03
. 41'0. 0 .1168E+07 . .1884E+05 . 2117E+01. .1648E+03 . 6213E-01 .1135498E+03 420.0 . 1186E+07 .1913E+05 .2154E+01 .1640E+03 .6126E-01 . .1059554E+03 430.0 .1204E+07 .1941E+05 .2192E+01 .1633E+03 . 6038E-01 .9864680E+02 440.0 .1221E+07.' .1970E+05 .2229E+01 .1625E+03 .5951E-01 .9161228E+02 450.0 .1239E+0'7:' - ~ 1998E+05 .2266E+01 .1618E+03* .5863E-01 .8484067E+02 460. 0 . .1256E+OT ' . 2026E+05 .2304E+Ol .1611E+03 . . 5780E-01 .7831844E+02 '470.0 . 1274E+O:T:.'**. 2054E+05 .2341E+Ol .1604E+03 .5697E-01 .7203335E+02 . 480. 0 .1291E+a7:::. . 2oe2E+o5 . 2378E+Ol * .1597E+03 .5565E-01 .6598992E+02 490.0 .1309E+07. .2111E+05 .2415E+01 . . 1590E+03 . 5368E-01 . 6026739E+02 500.0 .1326E+07 .2139E+05 .2452E+01 .1583E+03 . 5171E-01 .5486666E+02 510.0 .1343E+07 .2167E+05 .2489E+01 .1577E+03 *.. 4991E-01 . 4976358E+02 520.0 .1361E+07 .2195E+05 * .2526E+01 .1570E+03 . 4811E-01 . 4,493735E+02
- 530. 0 . . *1378E+07 .2223E+05 .2562E+Ol .1564E+03 .4630E-01 . 4037593E+02 540.0 .1395E+07 .2251E+05 .2599E+01 .1557E+03 . 4450E-01 .3606806E+02 550.0 .1413E+07 . 2279E+05* .2636E+01 . . 1551E+03 . 4270E-01 .3200319E+02 560.0 .1430E+07 .2306E+05 .2673E+Ol .1545E+03 .. 4101E-01 .2816584E+02 570.0 .1447E+07 .2334E+05 *. .2709E+Ol .1539E+03 ~3932E-01 .2454255E+02 580.0 .1464E+07 .2362E+05 .2746E+01 .1533E+03 .3763E-01 .2112518E+02 590.0 .1482E+07 .2390E+05 .2782E+01 .1527E+03 . 3594E-01 .1790615E+02 600.0 .1499E+07 .2418E+05 .2819E+01 .1521E+03 .3425E-01 .1487836E+02 10.0 .1516E+07 .2445E+05 .2855E+01 .1515E+03 * . 3267E-01 .1202995E+02
~20. 0 .1533E+07 .2473E+05 .2891E+01 .1510E+03* .3109E-01 .9350708E+01 630. 0 .1550E+07 .2501E+05 .2927E+01 .1504E+03 .2952E-01 . 6835226E+01 640.0 .1567E+07 .2528E+05 ~2964E+01 .1499E+03 .2820E-01 . 4474630E+Ol 650.0 .. 1585E+01 .2556E+05 .3000E+Ol .1493E+03 .2766E-01 .2204456E+01
660.0 .1602E+07 .2583E+05 .3036E+Ol .1488E+03 .2717E-01 .1818992E-03 661. 0 .1603E+07 . 2586E+05 . 3040E+Ol .1487E+03 . 2712E-Ol . OOOOOOOE+OO . Initial mass of TSP, lb * = 412. 3003 ndissolved TSP mass at 20 min, cuft = .0000
"'raction of undissolved TSP at 20 min, %' = ** 0000 * --*----~----------------------~--------------------
PALISADES NUCLEAR PLANT EA-FC-949-01 Rev 3 Sheet E22
DISSOLUTION TIME (existing . - 52 lb/ft3) 1200 0.5 2.0 1.98221 52 1 10 PALISADES NUCLEAR PLANT 1.188 22.547 . . 7461.767 2938.316 EA-FC-949-01 Rev 3 1 34 6 . Sheet E23 1 I97.4 228841 . 0 206.9 283267 3 207.2 296762 20 . 205.0 316995
- 30 184.8 394134 40 172.7 .~ 470279 50 164.7 540208 -Go 160.3 592890 70 160.2 614752 80 161.1 628719 90 161. 8 642482 100 162.6 656127 150 167.2 725878 200 172.8 804147 250 177.6 884508 300 173.7 971985 350 169.4 . 1061890 400 165.5 1150730 450. 161.8 1238760 500 158. 3 1326060.
550 155.1 1412740 600 152.1 1498910 650 149.3 1584620 700 146.7 1669920 750 144.2 1754840 800 141.9 1839410 850 139.8 1923680 900 137.7 2007680 950 135.8 2091430 1000 134.0 2174960 1050 132.2 2258270 1100 130.5 2341370 1150 129.0 2424340 1200 127.4 2507160 0 0.009216667 0 0.0283333333. 0 0. 0565 ' 70 0.068333333 180 0.0895 190 0.1065
PALISADES NUCLEAR PLAl DISSOLUTION TIME (existing 52 lb/ft3) - EA-FC-949-01 Rev 3-sid~-l~;gth-~f-TSP-b~;k~t;-ft-- -----------:- ----- -2~0000 Sheet E24 Height or TSP, f t = 1.9822 TSP bulk density lb/cuft = 52.0000 acing between basket and sump floor, f t = .5000 ime seep used in computationf!, sec . = 1. 0000
'Constant A (flood level equation) = - 1.188000 Constant B (flood level equation) = 22.547000 Constant C (flood level equation) 7461.767000 Constant D (flood level equation) 2938.316000 Time, Mass of Volume of Level of Tempe.. SDR, Mass of sec water,lb water,ft3 water,ft deg.!!. lb/sec/ft2 TSP, lb 10.0 .2833E+06 .4569E+04 .2184E+OO .2069E+03 .1065E+OO
.4122997E+03 20.0 .3170E+06 .5113E+04 .2912E+OO .2050E+03 .1065E+OO .4122997E+03 30.0 .3941E+06 .6357E+04 .4575E+OO .1848E+03 .9766E--Ol . 4122997E+03-40.0 .4703E+06 .7585E+04 .6215E+OO .1727E+03 . 7405E-Ol . 4093186E+03 so.a .5402E+06 .8713E+04 .7720E+OO .1647E+o3- . 6206E-Ol .4055752E+03 60.0 .5929E+06 .9563E+04 .8853E+OO .1603E+03 .5685E-01 . 4016278E+03 70.0 .614.8E+06 .9915E+04 .9323E+OO .1602E+03 . 5674E-01 . 3974884E+03 .
80.0 .6287E+06 .1014E+OS .9623E+OO .1611E+03- .5780E-Ol - . 3931373E+03 90.0 .6425E+06 .1036E+05 .9918E+OO .1618E+03 . 5863E-Ol .3885765E+03 100.0 .6561E+06 .1058E+05 .1021E+Ol .1626E+03 .5958E-01 .3838066E+03 110.0 .6701E+06 .1081E+05 . 1051E+Ol .1635E+03 . 6067E-Ol . .3788113E+03 120.0 .6840E+06 .1103E+05 .1081E+01 .1644E+03 . 6175E-Ol .3735788E+03-130.0 .6980E+06 .1126E+05* .llllE+Ol .1654E+03 . 6284E-Ol .3681040E+03 140.0 .7119E+06 .1148E+05 .1141E+Ol .1663E+03 . 6393E-01 .3623816E+03 150.0 .7259E+06 .1111E+os . ll 71E+Ol .1672E+03 . 6502E-Ol .3564066E+03 160.0 .7415E+06 .1196E+05 .1204E+Ol *.1683E+03 - . 6635E-Ol . 3501507E+03 _ - 170.0 .1s12E+06 ~i221E+os .1238E+Ol .1694E+03 - .6767E-Ol .3435886E+03 180.0 .7728E+06 .1247E+05 .1272E+Ol . l 706E+03 . 6952E-Ol .3366973E+03 190.0 .7885E+06 .1272E+05 .1305E+Ol . l 717E+03 . 7189E-Ol . 32938.79E+03 200.0 .8041E+06 .1297E+05 .1339E+Ol .1728E+03 . 7426E-Ol .3216375E+03 210.0 .8202E+06 .1323E+05 .1373E+Ol . l 738E+03 . 7629E-Ol . 31345*07E+03
.220.0 .8363E+06 .1349E+05 .1407E+Ol .l 747E+03 . 7832E-Ol .3048300E+03 230. 0 .8524E+06 .1375E+05 .1442E+Ol .1757E+03 . 8036E-Ol .2957643E+03 240. 0 - .8684E+06 .1401E+05 .1476E+Ol .1766E+03 . 8239E-01 .2862425E+03 250.0 .8845E+06 .1427E+05 .1511E+Ol .1776E+03 .8442E-01 .2762534E+03 260.0 .9020E+06 .1455E+05 .1548E+Ol .1768E+03 . 8277E-01 .2660235E+03 270.0 .9195E+06 .1483E+05 .1586E+Ol .1760E+03 .8112E-01 .2557507E+03 280.0 .9370E+06 .1511E+05 .1623E+Ol .-1753E+03 . 7947E-01 .2454451E+03 290.0 .9545E+06 .1539E+05 .1660E+Ol .1745E+03 . 7782E-01 .2342140E+03 300.0 .9720E+06 .1568E+05 .1698E+Ol . l 737E+03 . 7616E-01 .2213060E+03_ - 310. 0 .9900E+06 .1597E+05 . l 736E+Ol .1728E+03 - . 7434E..;01 . 2090554E+03 -
320.0 .1008E+07 .1626E+05 .1775E+Ol .1720E+03 . 7252E-01 .1974389E+03 330.0 .1026E+07 .1655E+05 .1813E+Ol . l 711E+03 . 7070E-01 .1864227E+03 340.0 .1044E+07 .1684E+05 .1851E+Ol .1703E+03 .6888E-Ol .1759754E+03 350.0 .1062E+07 .1713E+05 .1890E+Ol .1694E+03 . 6762E-01 .1660351E+03-360.0 .1080E+07 .1741E+05 .1928E+Ol ~ 1686E+03 .6670E-01 .1564912E+03 370.0 .1097E+07 .1770E+05 .1965E+Ol .1678E+03 . 6578E-01 .1473173E+03 380.0 - .1115E+07 .1799E+05 .2003E+Ol .1671E+03 .6485E-01 .1384976E+03 390.0 .1133E+07 .1827E+05 .2041E+o1* .1663E+03 . 6393E-Ol * .1300171E+03 400.0 .1151E+07 .1856E+05 .2079E+Ol .1655E+03 . 6301E-01 .1218616E+03 410~0 . 1168E+07 .1884E+05 .2117E+01. .1648E+03 . 6213E-01 .. 1140141E+03 420.0 .1186E+07 .1913E+05 .2154E+Ol .1640E+03 . 6126E-01 .1064595E+03 430.0 .. 1204E+07 .1941E+OS .2192E+Ol .1633E+03 . 6038E-Ol .9918579E+02 440.0 .1221E+07 ~ 1970E+05 .2229E+Ol .1625E+03 . 5951E-01 .9218165E+02 450.0 .1239E+Q,7;-.,,.-~ 1998E+05 . .2266E+Ol .1618E+03 . 5863E-01 .8543626E+02 460.0 .12s6E+or*- . 2026E+os .2304E+Ol .1611E+03 .5780E-01 . 7893640E+02 470.0 .1274E+o-r::* . 2os4E+os .2341E+O;L .1604E+03 .5697E-01 . 7267012E+02 480.0 .1291E+0:7-:-_ . 2082E+05 ~2378E+Ol .1597E+03 .5565E-01 .6664220E+02 490.0 .1309E+OT .2111E+05 .2415E+Ol .1590E+03 . 5368E-01 . 6093196E+02 500.0 .1326E+07 . 2139E+05 .2452E+Ol .1583E+03 . 5171E-01 .5554063E+02 510.0 .1343E+07 .2167E+05 .2489E+Ol .1577E+03 . 4991E-01 .5044444E+02 520.0 .1361E+07 .2195E+05 .2526E+Ol .1570E+03 . 4811E-Ol .4562291E+02 530. 0 .1378E+07 .2223E+05 .2562E+Ol .1564E+03 - .4630E-Ol .4106428E+02 540.0 .1395E+07 .2251E+05 .2599E+Ol .1557E+03 .4450E-01 .3675753E+02 550.0 .1413E+07 .2279E+05 .2636E+Ol .1551E+03 . 4270E-01 . 3269236E+02 560.0 .1430E+07 .2306E+05 .2673E+Ol .1545E+03 .4101E-Ol .2885349E+02 570.0 .1447E+07 .2334E+05 .2709E+Ol_ .1539E+03 .3932E-01 .2522763E+02 580.0 .1464E+07 .2362E+05 . 2746E+Ol .1533E+03 . 3763E-01 .2180683E+02 590. 0 .1482E+07 .2390E+05 .2782E+Ol .1527E+03 .3594E-Ol .1858364E+02 600.0 .1499E+07 .2418E+05 .2819E+Ol .1521E+03 .3425E-01 .1555113E+02
- 610.0 - .1516E+07 .2445E+05 .2855E+01 .1515E+03 .3267E-01 .1269753E+02 20.0 .1533E+07 _ .2473E+05 .2891E+Ol - .1510E+03 .3109E-01 .1001275E+02
- - 30.0 .1550E+07 .2501E+05 .2927E+Ol .1504E+03 .2952E-01 . 7491472E+Ol 640.0 .1567E+07 .2528E+05 - .2964E+Ol .1499E+03 . 2820E-01 .5124912E+Ol
- 650. 0 .1585E+07 .2556E+05 .3000E+Ol .1493E+03 .2766E-01 .2848514E+Ol
660.0 .1602E+07 .2583E+05 .3036E+Ol .1488E+03 .2717E-01 .6377357E+OO 663.0 .1607E+07 .2592E+05 .3047E+Ol .1486E+03 .2702E-Ol .OOOOOOOE+OO Initial mass of TSP, lb = 412.2997 Undissolved TSP mass at 20 min, cuft = .0000 .':':(;'~~ ()'_' -()~ -~~:':'CJ~""~ -:~~ -': ~ -~ q-".'~'_' C - '. - - ~ - - - - - c - - : OOO O PALISADES NUCLEAR PLAN EA-FC-949-01 Rev 3
.sheet E25
PALISADES NUCLEAR PLANT DISSOLUTION TIME (existing - 53 lb/ft3) EA-FC-949-01 Rev 3 . 1200 0.5 2.0 1.9~481 53 1 10 - SheetE 26 1.188 22.547 7461.767. 2938.316 1 34 6 1 1 197.4 228841 206.9 283267 3 207. 2 296762 20 205.0. 316995 30 184.8 394134 40 172. 7 470279 .50 . 164.7 540208 60 160.3 592890 70 160.2 . 614752 80 161. l 628719 90 161.8 642482 100 162. 6 656127 150 167. 2 725878 200 172.8 804147 250 177.6 884508 300 173. 7 971985 350 169. 4 1061890 400 165.5 1150730 450 161.8 1238760 500 158.3 1326060 550 155.1 . 1412740 600 152~1 1498910 650 149.3 1584620 700 146.7 1669920 750 144.2 1754840 800 141.9 1839410 850 139.8 1923680 900 137.7 2007680 950 135.8 2091430 1000 134.0. 2174960 1050 132.2 2258270 1100 130.5 2341370 1150* 129.0. 2424340 1200 127.4 2507160 0 0.009216667 0 0.0283333333 0 0.0565 70 0.068333333 180 *0.0895 190 0.1065
PALISADES NUCLEAR PLA DISSOLUTION TIME (existing 53 lb/ft3) EA-FC-949-01 Rev 3
----------------------------------------------------- Sheet E27 S,iqe length of TSP basket, ft . = 2.0000 He~ght or TSP, ft . l.9448 TSP bulk density* lb/cuft = 53. 0000 Spacing between basket and sump floor, ft .5000 T"ime seep used in computations, sec l.0000 Constant A (flood level equation) = l.188000 Constant B (flood level equation) 22.547000 Constant C (flood level equation) - 7461.767000 Constant D (flood level equation) - 2938. 31*6000
---------------------------------------*~-----------
Time, Mass of
- Volume of Level of Temp SDR, Mass of sec water;lb water,ft3 water,ft deg F lb/sec/ft2 TSP,lb
-----~ ---------
IO.O .2833E+06
.4569E+04 .2184E+OO .2069E+03 .1065E+OO .4122997E+03 20.0 .3170E+06 .5113E+04 .2912E+OO .2050E+03 .1065E+OO .4122997E+03 30.0 .3941E+06 .6357E+04 .4575E+OO .184BE+03 .9766E-01 .4122997E+03 40.0 .4703E+06 .7585E+04 .6215E+OO . l 727E+03 . 7405E-01 .4093186E+03 50.0 .5402E+06 .8113E+04 .7720E+OO .1647E+03 . 6206E-01 .4055752E+03 60.0 .5929E+06 .9563E+04 .8853E+OO .l603E+03 .5685E-01 . 4016279E+03
.70.0 .6l48E+06 .9915E+04 .9323E+OO .1602E+03 . 5674E-01 . 3974884E+03,
- 80.0 .6287E+06 .10l4E+05 .9623E+OO .1611E+03 .5780E-01 . 3931373E+03' .
90.0 .6425E+06 .1036E+05 .9918E+OO .1618E+03 . . 5863E-01 .3885766E+03 100.0 .6561E+06 *.1058E+05 .1021E+Ol . l626E+03 . 5958E-01 .3838067E+03 110.0 .6701E+06 .1081E+05 .1051E+Ol .1635E+03 . 6067E-01 .3788113E+03 120.0 :6840E+06 .1103E+05 .1081E+Ol .l644E+03 . 6175E-01 . 3735788E+03 130.0 .6980E+06 .1126E+05 .llllE+Ol .1654E+03 . 6284E-01 .3681040E+03 140. 0 *. 7119E+06 .1148E+05 .1141E+Ol .1663E+03 . 6393E-Ol . 3623817E+03
- 150.0 .7259E+06 .1171E+05 . ll 71E+Ol .1672E+03 . 6502E-01* .3564067E+03 160.0 .7415E+06 .1196E+05 .*1204E+Ol .1683E+03 . 6635E-01 .3501508E+03 170:0 .7572E+06 .1221E+05 .1238E+Ol .1694E+03 *. 6767E-01 .. 3435886E+03 IBO. 0 . 7728E+06* .1247E+05 .1272E+Ol .1706E+03 ~ 6952E-01 . 3366973E+03 190.0 .7885E+06 .1272E+05 .1305E+Ol .1717E+03 . 7189E-01 .3293880E+03 200. 0 -. 8041E+06 .1297E+05 .l339E+Ol .1728E+03 . 7426E-01 . 3216376E+03 210.0 .8202E+06 .1323E+05 .1373E+Ol .1738E+03 . 7629E-01 .3134508E+03 220.0 .8363E+06 .1349E+05 .1407E+Ol .1747E+03 . 7832E-01 .3048301E+03 230.0 .8524E+06 .1375E+05 .1442E+Ol .1757E+03 . 8036E-01 .2957644E+03 240.0 .8684E+06 .1401E+05 .1476E+01 .1766E+03 . 8239E-01 .2862426E+03
. 250. 0 . 8845E+06 * .1427E+05 .1511E+Ol .1776E+03 .8442E-01 .2762535E+03 260.0 .9020E+06 .1455E+05 .1548E+Ol .1768E+03 . 8277E-01 .2660235E+03 270.0 .9195E+06 .1483E+05 .1586E+Ol .1760E+03 . 8112E-01 .2557508E+03
- 280.0 . . 9370E+06 .1511E+05 .1623E+Ol .1753E+03 . 7947E-01 .2454451E+03 290.0 .9545E+06 .1539E+05 .1660E+Ol .1745E+03 . 7782E-:Ol .2333457E+03 300.0 .9720E+06 .1568E+o5* .1698E+Ol .1737E+03 . 7616E-01 .2205884E+03 310.0 .9900E+06 .1597E+05 .1736E+Ol .1728E+03 . 7434E-01 .2084741E+03 320.0 .1008E+07 .1626E+05 .1775E+Ol .1720E+03 . 7252E-01 .1969806E+03 330.0 .1026E+07 .1655E+05 .1813E+Ol .1711E+03 *. 7070E-01 .1860753E+03 340.0 .1044E+07 .1684E+05 .1851E+Ol .1703E+03 . 6888E-01 .1757278E+03 .,
350.0 .1062E+07 .1713E+05 .1890E+Ol .1694E+03 . 6762E-01 .1658776E+03 360.0 .1080E+07 .1741E+05 .1928E+Ol .1686E+03 . 6670E-01 .1564155E+03 370.0 .l097E+07 .1770E+05 .1965E+Ol .1678E+03 . 6578E-01 .1473159E+03 380.0 .1115E+07 .1799E+05 .2003E+Ol .1671E+03 . 6485E-01 * .1385633E+03 390.0 .1133E+07 .1827E+05 .2041E+Ol .1663E+03 . 6393E-01 ~1301434E+03 400.0 .1151E+07 .1856E+05 .2079E+Ol. .1655E+03 . 6301E-01 .1220424E+03
- 410.0 .1168E+07 .1884E+05 .2117E+Ol .1648E+03 . 6213E-01 .1142438E+03 420.0 .1186E+07 .1913E+05 .2154E+Ol .1640E+03 . 6126E-01 .1067329E+03 430. 0 .1204E+07 .1941E+05 .2192E+Ol .1633E+03 . 6038E-Ol .9949801E+02 440.0 .1221E+07 .1970E+05 .2229E+Ol .1625E+03 .5951E-01 .9252820E+02
- ~g: g :i~~~~!8~> ~: ~g~~~:g~ .2266E+Ol
.2304E+Ol
.1618E+03 ~5863E:..01 .8581296E+02
.1611E+03 .5780E-01 * . 7933940E+02 470. 0 . . 1274E+0_7,:.: . 2054E+05 .2341E+Ol .1604E+03 .5697E-01 .7309584E+02 480. 0 * .1291E+aT* . 2082E+05 .2378E+Ol .1597E+03 .5565E-01 ;6708729E+02 490 .-o -. *1309E+or* . 2111E+05 .2415E+Ol .1590E+03. .5368E-Ol .6139310E+02 500 .D .1326E+07 * . 2139E+05 * .2452E+Ol .1583E+03 . 5171E-01 .5601483E+02 510.0 .1343E+07 .2167E+05 .2489E+Ol .1577E+03 . 4991E-01 .5092906E+02 520.0 .l36IE+07 .2195E+05 .2526E+Ol .1570E+03 .*4811E-01 .4611566E+02 530.0 .1378E+07 .2223E+05 .2562E+Ol .1564E+03 . 4630E-01 .4156311E+02 540.0 .l395E+07 .2251E+05 .2599E+Ol .1557E+03 .4450E-01 *. 3726066E+02 550.0 .l413E+07 .2279E+05 .2636E+Ol .1551E+03 . 4270E-01 .3319823E+02 560.0 .1430E+07 .2306E+05. .2673E+Ol .1545E+03 .4101E-01 .2936075E+02 570.0 .l447E+07 ;2334E+05 .2709E+Ol .1539E+03 .3932E-01 .2573514E+02 580.0 .l464E+07 .2362E+05 .2746E+Ol .1533E+03 .3763E-01 .2231359E+02 590.0 .1482E+07 .2390E+05 .2782E+Ol .1527E+03 .3594E-01 .1908881E+02 600.0 .1499E+07 .2418E+05 .2819E+Ol .1521E+03 .3425E-01 .1605401E+02 10.0 .1516E+07 .2445E+05 .2855E+Ol .1515E+03 .3267E-01 .1319755E+02
~
20.0 .l533E+07 .2473E+05 . 2891E+Ol .1510E+03 .3109E-Ol .1050944E+02 . 30.0 .1550E+07 .2501E+05 .2927E+Ol .1504E+03 .2952E-01 . 7984460E+Ol 640.0 .1567E+07 .2528E+05 .2964E+Ol .1499E+03 .2820E-:01 .5613918E+01
- 650. 0 .1585E+07 . 2556E+05 .3000E+Ol .1493E+03 .2766E-*01 .3333221E+Ol
660.0 .1602E+07 .2583E+05 .3036E+Ol .1488E+03 .2717E-01 .1117822E+Ol 666. 0 .1612E+07. . 2600E+05 . 3058E+Ol .1485E+03 . 2687E-01 . OOOOOOOE+OO Initial mass of TSP, lb 412. 2997 Undissolved TSP mass .at 20 min, cuft .0000 raction of undissolved TSP at 20 .min, % = .* 0000
--------------------------------~--------------~---
PALISADES NUCLEAR PLAN' EA-FC-949-01 Rev 3 Sheet E28
PALISADES.NUCLEAR PLANT DISSOLUTION TIME (existing* - 54 lb/ft3) EA-FC-949-01 Rev 3 1200 0.5 2.0 l.9V880. 54 1 10 1.188 22.547 7461.767 2938.316 Sheet E29 1 34 6 1 1 197.4 228841 206.9 283267 207.2 296762 20 205.0 316995 30 184. 8 . 394134 40 172. 7. . .. "470279 50 164.7 *' 540208
. 60 160.3 592890 70 160~2 614752 80 161.1 628719 90 161.8 642482 100 162.6 656127 150 167.2 725878 200 172.8 804147 250 177.6 884508 300 173. 7 971985 350 169.4 1061890 400 165.5 1150730 -~ --
450 161.8 1238760 500 158.3 1326060 550 155.1 1412740 600 152.1 1498910 650 149.3 1584620 700 146.7 1669920 750 144.2 1754840 800 141.9 1839410 850 139.8 1923680 900 137.7 2007680 950 135.8 2091430 *":-:: 1000 134.0 2174960 1050 132.2 2258270 . 1100 130.5 2341370 1150 129.0 2424340 1200 127.4 2507160 0 0.009216667 0 0.0283333333 0
- o. o. 0565 0.068333333 180 o. 0895 .
190 *0.1065
PALISADES NUCLEAR DISSOLUTION TIME _(existing 54 lb/ft3) EA-FC-949-01 Rev Side length of TSP basket, ft = 2. 0000 . Sheet EJO ! Height or TSP,. ft = 1. 9 088 .. I TSP bulk density lb/cuft = 54. 0000 Spacing between basket and sump floor, ft =
- 5000 Time seep used in computations, sec 1.0000 Constant A (flood level equation) ** = 1.-188000
- Constant B (flood level equation) - 22.547000
. Constant C (flood level equation) 7461. 767000 Constant D (flood level equation) 2938. 316000 Time, Mass- of Volume of Level of TenlTI SDR,* Ma*ss of sec water, lb . water, ft3 water, ft deg~F lb/sec/ft2 TSP, lb . 10.0 . 2833E+06 .4569E+04 .2184E+OO .2069E+03 .1065E+OO . 4123008E+03 _ 20.0 .3170E+06 .5113E+04 * .2912E+OO .2050E+03 .1065E+OO .4123008E+03 30.0 .3941E+06 .6357E+04 .4575E+OO .1848E+03 .9766E-01 .4123008E+03 40.0 .4703E+06 .7585E+04 .6215E+OO .1727E+03 . 7405E-01 .4093197E+03 50.0 .5402E+06 .8713E+04 .7720E+OO .1647E+03 . 6206E-01 .4055763E+03 60.0 .5929E+06 .9563E+04 .8853E+OO .1603E+03 .5685E-01 . 4016289E+03 ~-** 70.0 .6148E+06 .9915E+04 .9323E+OO .1602E+03 .5674E-01 . 3974895E+OJ... ~ 80.0 .6287E+06 .1014E+05 .9623E+OO .1611E+03 . 5780E-01 .3931384E+03 90.0 .6425E+06 .1036E+05 .9918E+OO .1618E+03 . 5863E-01 .3885777E+03 100.0 .6561E+06 .1058E+05 .1021E+Ol .1626E+03 .5958E-01 .3838077E+03 110.0 .6701E+06 .1081E+05 .1051E+Ol .1635E+03 . 6067E-01 .3788124E+03 120.0 .6840E+06 .1103E+05 .1081E+Ol .1644E+03 . 6175E-01 .3735799E+03 130.0 .6980E+06 .1126E+05 .llllE+Ol .1654E+03 . 6284E-01 . 3681051E+03-_ 140.0 .7119E+06 .1148E+05 .1141E+Ol .1663E+03 . 6393E-01 .3623828E+03 150.0 .7259E+06 .1171E+05 . ll 71E+Ol .1672E+03 . 6502E-01 . 3564077E+03 160.0 .7415E+06 .1196E+05 .1204E+Ol .1683E+03 . 6635E-01 .3501518E+03 170.0 .7572E+06 .1221E+05 .1238E+Ol .1694E+03 . 6767E-01 .3435897E+03 180.0 .7728E+06 .1247E+05 .1272E+Ol .1706E+03 . 6952E-01 *. 3366984E+03 190.0 .7885E+06 .1272E+05 .1305E+Ol .1717E+03 . 7189E-01 .3293891E+03 200.0 .8041E+06 .1297E+05 .1339E+Ol .1728E+03 . 7426E-01 .3216387E+03 210.0 .8202E+06 .1323E+05 .1373E+Ol .. 1738E+03 . 7629E-Ol .3134518E+03 220.0 .8363E+06 .1349E+05 .1407E+Ol .1747E+03 . 7832E-01 .304831.2E+03 230.0 .8524E+06 .1375E+05 .1442E+Ol .1757E+03 . 8036E-01 .2957655E+03
. 240. 0 .8684E+06 .1401E+05 .1476E+Ol .1766E+03 . 8239E-01 .2862436E+03 250.0 .8845E+06 .1427E+05 .1511E+Ol .1776E+03 . 8442E-01 .2762545E+03 260.0' .9020E+06 . . 1455E+05 .1548E+Ol .1768E+03 . 8277E-01 .2660246E+03 270.0 .9195E+06 .1483E+05 .1586E+Ol .1760E+03 . 8112E-01 .2557519E+03 280.0 .9370E+06 .1511E+05 . *.1623E+Ol .1753E+03 . 7947E-01 .2454462E+03 . 290. 0 .9545E+06 .1539E+05 .1660E+Ol * .1745E+03 . 7782E-01 .2328194E+03*
300.0 .9720E+06 .1568E+05 .1698E+Ol .1737E+03 . 7616E-01 .2201977E+03 310.0 .9900E+06 .1597E+05 .1736E+Ol .1728E+03 . 7434E-01 .2082056E+03
. 320. 0 .1008E+07 .1626E+05 .1775E+Ol .1720E+03 . 7252E-01 .1968222E+03 330.0 .1026E+07 .1655E+05 .1813E+Ol .1711E+03 * . 7070E-01 .1860160E+03 .
340.0 .1044E+07 .1684E+05 .1851E+Ol .l 703E+03
- 6888E-01 .1757573E+03 350.0 . . 1062E+07. .1713E+05 .1890E+Ol .1694E+03 . 6762E-01 .1659869E+03 360.0 .1080E+07 .1741E+05 . 1928E+Ol .1686E+03 . . 6670E-01 .15659 71E+03 370.0 .1097E+07 .1770E+05 .1965E+Ol .1678E+03 . 6578E-01 .1475627E+03 380.0 .1115E+07 .1799E+05 .2003E+Ol .1671E+03 . 6485E-01 .1388689E+03 390.0 * .1133E+07 .1827E+05 .2041E+Ol .. 1663E+03 . 6393E-01 .1305018E+03
'400.0 .1151E+07 .1856E+05 .2079E.f.Ol .1655E+03 . 6301E-01 .12244 79E+03 410. o- .1168E+07 .. 1884E+05 .2117E+Ol .1648E+03 . 6213E-01 * .1146913E+03 420. 0 .1186E+07 .1913E+05 .2154E+Ol .1640E+03 . 6126E-01 .1072175E+03 430.0 .1204E+07 .1941E+05 . .2192E+Ol .1633E+03 . 6038E-01 .1000153E+03 440.0 .1221E+O'l'., *.1970E+05 .2229E+Ol .1625E+03 .5951E-01 .9307404E+02 450.0 .1239E+01°-- .. 1998E+05 .2266E+Ol .1618E+03 .5863E-01 . 8638352E+02 -
460.0 .1256E+07:: . 2026E+05 .2304E+Ol .1611E+03 .5780E-01 .7993115E+02 470.0 .1274E+OT- . 2054E+05 * .2341E+Ol .1604E+03 .5697E-01 . 7370552E+02 480.0 ~ 1291E+07-*-- .2082E+05 .2378E+Ol .1597E+03 .5565E-01 .. 6771182E+02 490. 0. .1309E+OT-- * -. 2111E+05 .2415E+Ol .1590E+03 . 5368E-01 .6202950E+02 500.0 .1326E+07 .2139E+05 .2452E+Ol .1583E+03 . . 5171E-01 .5666042E+02 510.0- .1343E+OT . 2167E+05 _.2489E+Ol .1577E+03 . 4991E-01 .5158151E+02 520.0 .1361E+07 .2195E+05 .2526E+Ol .1570E+03 .. 4811E-01 . 4677291E+02 530.0 .1378E+07 ~2223E+05 .2562E+Ol .1564E+03 .4630E-01 .4222337E+02 540.0 .1395E+07 .2251E+05 .2599E+Ol .1557E+03 . 4450E-01 .3792237E+02 550.0 .1413E+07 .2279E+05 .2636E+Ol .1551E+03 . 4270E-01 .3386005E+02 560.0 .1430E+07 .2306E+05 .2673E+Ol .1545E+03 . 4101E-01 .3002152E+02 570.0. .1447E+07 .2334E+05 .2709E+Dl .1539E+03 . 3932E-01 .2639388E+02 580.0 . 1464E+07 .2362E+05 .2746E+Ol . .1533E+03 . 3763E-01 .2296947E+02 590.0 .1482E+07 .2390E+05 .2782E+Ol .1527E+03 .3594E-01 .1974115E+02 600.0 .1499E+07 .2418E+05 .2819E+Ol .1521E+03 .3425E-01 .1670225E+02 610.0 .1516E+07 .2445E+05 .2855E+Ol .1515E+03 . 3267E-01 .1384124E+02 620.0 .1533E+07 .2473E+05 .2891E+Ol .1510E+03 .3109E-01 .1114823E+02 630. 0 .1550E+07 .2501E+05 .2927E+Ol .1504E+03 .2952E-01 .8i18111E+Ol 640. 0 .1567E+07 .2528E+05 .2964E+Ol . . 1499E+03 * .2820E-01 .6242247E+01 650.0 .. . 1585E+07 . 2556E+05 .3000E+Ol .1493E+03 -. 2766E-01 .3955975E+01
660.0 .1602E+07 .2583E+05 .3036E+Ol .1488E+03 .2717E-Ol .1734731E+Ol 669.0 .1617E+07 .2608E+05 .3068E+Ol .1483E+03 .2672E-Ol .OOOOOOOE+OO Initial mass of TSP, lb = 412.3008 ndissolved TSP mass at 20 min, cuft =
- 0000 *
- :~:~~~~-~:_i:z!~~~~~~~:~-~~~-~~-~~-~~~~-!--~--------:OOOOPALISADES NUCLEAR PL.Aw.
EA-FC-949-01 Rev 3 Sheet E31 _, ~ .... ,
~~ ~f~::- -.~/*.
DISSOLUTION TIME (new - 45 lb/ft3) PALISADES NUCLEAR PLANT 1200 0.5 2.0. 2.2906 45 1 10 EA~FC-949-01 Rev 3 1.188 22. 547 7461. 767 2938. 316 Sheet E32 1 34 6 1 1 197. 4 228886 206.9. 283521 3 207.3 -297238 20 205.1 . 317788
- 30. 185.0 395404 40 173.0 472011 50 165. 0 542368 60 160.7 595462 70 160. 6 617686 80 161.5 632068 90 162.2 646177 100 162.9 660153 150 167. 4 731580 200 172. 8 811279 250 177. 2 892783 300 173.1 981034 350 168.6 1071460.
400 164.5 1160690 450. 160.6 1248880 500 157.0 1336150 550 153.7 1422640 600 150.6 1508550 650 147.7 1593910 700 145.1 1678760 750 142.5 1763160 800 140.2 1847190 850 138.0 1930910 900 135.9 2014360 950 133.9 2097560-1000 132.1 2180560 : ... 1050 130.3 2263370 1100 . 128.6 2345990 *::..* \ 1150 127.0 2428430 1200 125.5 2510770 0 0.009216667 0 0.0283333333 0 0.0565 70 0.068333333 180 0.0895 190 0.1065
DISSOLUTION TIME (new - 45 lb/ft3) PALISADES NUCLEAR PL1
----------------------------------------------------- EA-FC-949-01 Rev 3 Side length of TSP basket, f t = 2.0000 Sheet E33 Height or TSP, f t = 2. 2906 .
TSP bulk density lb/cuft 45. 0000 Sgacing between.basket and.sump floor, f t - .5000 T'ime seep used in computations, sec = 1.0000 Constant A (flood level equation) = 1.188000 Constant B (flood level equation) = 22.547000 Constant C (flood level equation) 7461.767000 Constant D (flood level equation) = 2938.316000
---~-----------~--------------------------------~---
.Time, Mass of Volume of Level of Te.mp . SDR, Mass of sec *water, lb water,ft3 water,ft deg F lb/sec/ft2 TSP,lb 10 .*o . 2835E+06 . 4573E+04 .2189E+OO .2069E+03
.1065E+OO .4123080E+03 20.0 .3178E+06 .5126E+04 .2929E+OO .2051E+03 .1065E+OO . 4123 080E+03
- 30.0 .3954E+06 .6377E+04 .4602E+OO .1850E+03 .9800E-01 .4123080E+03 40.0 .4720E+06 .7613E+04 . 6253E+OO .1730E+03 .7468E-01 .4092893E+03 50.0 .5424E+06 .8748E+04 .7767E+OO .1650E+03 .6242E-01 .4054989E+03 60.0 .5955E+06 .9604E+04 .8908E+OO .1607E+03 .5733E-01 .4014989E+03
- 70. 0 . 6177E+06 . 99'63E+04 .9386E+OO .1606E+03 . 5721E-01 .3972977E+03 -
80.0 .6321E+06 .1019E+05 .9695E+OO .1615E+03 .5827E-01 .3928793E+03 90.0 .6462E+06 .1042E+05 .9998E+OO .1622E+03 .5910E-01 .3882457E+03 100.0 .6602E+06 .1065E+05 .1030E+Ol .1629E+03 .5993E-01 .3834033E+03 110.0 .6744E+06 .1088E+05 .1060E+Ol .1638E+03 ~6100E-01 . 3783358E+03 120.0 .6887E+06 .1111E+05 .1091E+Ol .1647E+03 .6206E-01 . 3730280E+03
*.130.0 .7030E+06 .1134E+05 .1122E+Ol. .1656E+03 .6313E-01 . 3674748E+03 140.0 .7173E+06 .1157E+05 .1152E+Ol .1665E+03 .6419E-01 . 3616710E+03 150.0 .7316E+06 .1180E+05 .1183E+Ol .1674E+03 .6526E-01 .3556114E+03 160.0 .7475E+06 .1206E+05 .1217E+Ol .1685E+03 . 6653E-01 . 3492692E+03 --170. 0 . 7635E+06 .1231E+05 .1251.E+Ol .1696E+03 .6781E-01 .3426202E+03 180.0 . . 7794E+06 . . 1257E+05 .1286E+Ol .1706E+03 .6969E-01 .3356363E+03 190.0 .7953E+06 .1283E+05 .1320E+Ol .1717E+03 .7197E-01 .3282326E+03 200~0 .8113E+06 .1309E+05 .1354E+Ol .1728E+03 .7426E-01 .3203903E+03 210.0 .8276E+06 .1335E+05 .1389E+Ol .1737E+03 . 7612E-01 . . 3121200E+03
- 220.0 .8439E+06 .1361E+05 .1424E+Ol .1746E+03 .7799E-01 . 3034296E+03 230.0 .8602E+06 .1387E+05 .1459E+Ol .1754E+03 . 7985E-01 .2943089E+03 240.0 .8765E+06 .1414E+05 . 1494E+Ol .1763E+03 .8171E-01 . .2847473E+03 250.0 .8928E+06 .1440E+05 .1528E+Ol .1772E+03 .8357E-01 .2747347E+03 260.0 .9104E+06 .1468E+05 .1566E+Ol .1764E+03 .8184E-01 . 2644960E+03 270.0 .9281E+06 .1497E+05 .1604E+Ol -.1756E+03 .8010E-01 .2542281E+03 280.0 .9457E+06 .1525E+05 .1642E+Ol .1747E+03 .7837E-01 .2439417E+03 290.0 .9634E+06 .1554E+05 .1679E+Ol .1739E+03 * . 7663E-01 . 23364 71E+03 300.0 .9810E+06 .1582E+05 .1717E+Ol .1731E+03 *.7489E-01 .2233551E+03 310.0 .9991E+06 .1611E+05 .1756E+Ol .1722E+03 .7299E-01 .2111995E+03 320.0 .1017E+07 .1641E+05 .1794E+Ol .1713E+03 .7108E-01 .1988696E+03 330.0 .1035E+07 .1670E+05 .1833E+Ol .1704E+03 .6918E-01 .1872401E+03 340.0 .1053E+07 .1699E+05 .1872E+Ol .1695E+03 .6774E-01 .1762455E+03 350.0 .1071E+07 .1728E+05- .1910E+Ol .1686E+03 .6668E-01 .1657543E+03 360.0 .1089E+07 .1757E+05 .1948E+Ol .1678E+03 .6571E-01 .1557236E+03 370.0 .. 1107E+07 .1786E+05 .1986E+Ol .1670E+03 .6474E-01 .1461250E+03 380.0 . . 1125E+07 .1815E+05 .2024E+Ol .1661E+03 .6377E-01 .1369378E+03 390.0 .1143E+07 .1843E+05 .2062E+Ol .1653E+03 . 6280E-01 .1281427E+03 400.0 . . 1161E+07 .1872E+05 .2100E+Ol * .1645E+03 .6182E~Ol *.119 7212E+03 410.0 .1178E+07 .1901E+05 .2138E+Ol .1637E+03 .6090E-01 .1116526E+03 420.0 .1196E+07 .1929E+05 .2175E+Ol .1629E+03 .5998E-01 .1039179E+03 430.0 .1214E+07 .1957E+05 .2213E+Ol .1622E+03 _ .5906E-01 .9650213E+02 440.0 .1231E+07 .1986E+05 .2250E+Ol .1614E+03 .5813E-01 .8939081E+02 450. 0 .1249E+o1* "* . 2014E+05 .2288E+Ol .1606E+03 .5721E-01 .8257034E+02 460. 0 .1266E+OT. . 2042E+05 .2325E+Ol .1599E+03 .5616E-01 . 7602651E+02 4 70. 0 .1284E+0-7*~ . 2071E+05 .2362E+Ol .1592E+03 .5413E-01 . 6983129E+02 480. 0 .1301E+0.7.. .2099E+05 .2399E+Ol .1584E+03 . 5211E-01 .6400634E+02 490. 0. .1319E+OT' . 2127E+05 .2436E+Ol .1577E+03 .5008E-01 .5853261E+02 500.0 .1336E+07 .2155E+05 .2473E+Ol .1570E+03 .4805E-01 .5339240E+02 510.0 .1353E+07 .2183E+05 .2510E+Ol .1563E+03: .*4619E-01 .4855986E+02 520.0 .1371E+07 .2211E+05 .2547E+Ol .1557E+03 .4433E-01 .4401277E+02 530.0 .1388E+07 .2239E+05 .2584E+Ol .1550E+03 .4247E-01 * .3973797E+02 540.0 .1405E+07 .2267E+05 .2620E+Ol .1544E+03 . . 4061E-01 .3572325E+02 550.0 .1423E+07 .2295E+05 .2657E+Ol * .1537E+03 .3875E-01 .3195725E+02 560.0 .1440E+07 .2322E+05 .2693E+Ol .1531E+03 .3701E-01 .2842367E+02 570.0 .1457E+07 .2350E+05 ~2730E+Ol .1525E+03 .3526E-01 .2510840E+02 580.0 .1474E+07 .2378E+05 .2766E+Ol .1518E+03 .3352E-01 .2200284E+02 590.0 ~1491E+07 .2405E+05 .2803E+Ol .1512E+03 .3177E-01 .1909899E+02 600.0 .1509E+07 .2433E+05 .2839E+Ol .1506E+03 .3002E-01 .1638947E+02 610.0 .1526E+07 .2461E+05 .2875E+Ol .1500E+03 .2839E-01 .1386209E+02 620.0 .1543E+07 .2488E+05 .2911E+Ol .1494E+03 .2780E-01 .1145900E+02 630.0 .1560E+07 .2516E+05 .2947E+Ol .1489E+03 .2724E-01 .9132349E+Ol 640.0 .1577E+07 .2543E+05 .2984E+Ol .1483E+03 .2669E-01 .6880069E+Ol 650.0 .1594E+07 .2571E+05 .3020E+Ol .1477E+03 .2613E-01 . 4700167E+Ol
660.0 .1611E+07 .2598E+05 * .3055E+Ol_ .1472E+03 .2564E-Ol ~2588166E+Ol 670.0 .1628E+07 .2626E+05 .3091E+Ol .1467E+03 . 2514E-Ol .5402390E+OO 673. 0 .1633E+07 .2634E+05 .3102E+Ol .1465E+03 .2499E-Ol .OOOOOOOE+OO
- Ini* tia
- 1 mass o f T.SP , lb . -= 412 . 30000 080 ndissolved TSP mass at 20 min, cuf~ ~ - *
- raction of undissolved TSP at 2~_1:1:1!~_: __ ': ________ : 0000 PALISADES NUCLEAR PLAl
- - - - - - - - - - - - - - - .- - - - - - - - - - - - - - - - . EA-FC-949-01 Rev 3 Sheet E34
,.-'. "~
DISSOLUTION TIME (new - 46 lb/ft3) PALISADES NUCLEAR PLANT 1200 0.5 2.0 2.24076 - 46 1 10 EA-FC-949-01 Rev 3 1.188 22.547 7461.767 2938.316 Sheet E35 1 34 6 - 1 1 1 6 197.4 228886 0 206.9 .283521 13 207.3 297238 20 205.1 317788 30 185.0 395404 40 173.0 472011 50 165.0 542368 60 160.7 595462 70 160.6 - 617686 80 161.5 632068 90 162.2 646177 100 162.9 660153 150 167.4 731580 200 172.8 811279 250 177.2 892783 300 173.1 981034 350 - 168.6 1071460 400 164.5 1160690 450 160.6 1248880 500 157.0 1336150 550 153.7 1422640 600 - 150.6 1508550 650 147.7 ~593910 700 145.1 1678760 750 142.5 1763160 800 140.2 1847190 850 138.0 1930910 900 135.9 2014360 950 133.9 2097560 1000 132.1 2180560 1050 130.3 2263370 1100 - 128.6 2345990 1150 - *127. 0 - 2428430 1200 125.5 2510770 130 0.009216667 < - 50 0.0283333333 60 0.0565 70 0.068333333 180 0.0895 190 0.1065
- _/ *-
PALISADES NUCLEAR PLAJ DISSOLUTION TIME (new .- 46 lb/ft3) EA-FC-949-01 Rev 3
~~1~~i~g~~~~~ -t~P b~;k~t:-it:- ------ --: ---~ --- ----~: ~~g~ Sheet E36 TSP bulk density lb/cuft . = 46. 0000 SP.acing between.basket and.sump floor, ft .5000 T"ime seep used in computations, sec = 1.0000
- Constant A (flood level equation) = 1.188000 Constant B (flood level equation) = 22.547000 Constant C (flood level equation) = 7461.767000 Constant D (flood level equation) = 2938.316000
. Time, Mass of Volume of Level of Temp'- SDR, * *Mass of sec water, lb water,ft3 water, ft - deg~*. lb/sec/ft2 TSP,lb
------ --------- --------- --------- ~-------- ---------
- 10. O_ . 2835E+06 . 4573E+04 . 2189E+OO . 2069E+03 .1065E+OO
.4122998E+03 20.0 .3178E+06 .5126E+04 .2929E+OO .2051E+03 .1065E+OO .. 4122998E+03 30.0 .3954E+06 .6377E+04 .4602E+OO .1850E+03 .9800E-01 .4122998E+03 40.0 .4720E+06 .7613E+04 .6253E+OO .1730E+03 .7468E-01 .4092811E+03*
50.0 .5424E+06 .8748E+04 .7767E+OO .1650E+03 .6242E-01 .4054907E+03 60.0 .5955E+06 .9604E+04 .8908E+OO .1607E+03 .5733E-Ol .4014908E+03 70.0 .6177E+06 .9963E+04 .9386E+OO .1606E+03 .5721E-01 . 3972896E+03 ,,- 80.0 .6321E+06 .1019E+05 .9695E+OO .1615E+03 . 5827E-01 . 3928711E+03 90.0 .6462E+06 .1042E+05 .9998E+OO .1622E+03 .5910E-01 . 3882376E+03 100*.0 .6602E+06 .1065E+05 .1030E+Ol .1629E+03 .5993E-01 .3833951E+03 110.0 .6744E+06 ~1088E+05 .1060E+Ol .1638E+03 .6100E-01 . 3783276E+03 120.0 .6887E+06 ~1111E+05 .1091E+Ol .1647E+03 .6206E-01 . 3730198E+03 130. 0 . . 7030E+06 .1134E+05 .1122E+Ol .1656E+03 .6313E-01 . 3674667E+03 140.0- .7173E+06 .1157E+05 .1152E+Ol .1665E+03 .6419E-01 .3616629E+03 150.0 .7316E+06 .1180E+05 .1183E+Ol .1674E+03 .6526E-01 . 3556033E+03
- 160.0 .7475E+06 .1206E+05 .1217E+Ol .1685E+03 .6653E-Ol_ .3492610E+03 170. 0 .. 7635E+06 .1231E+05 .1251E+Ol .1696E+03 .6781E-01 .3426120E+03 180.0 .7794E+06 .1257E+05 .1286E+Ol .1706E+03 .6969E-01 .3356282E+03 190.0 .7953E+06 .1283E+05 .1320E+Ol .1717E+03 .7197E-01 .3282245E+03 200.0 .8113E+06 .1309E+05 .1354E+Ql .1728E+03 *. 7426E-01 .3203822E+03 210.0 .8276E+06 .1335E+05 . . 1389E+Ol .1737E+03 .7612E-01 220.0 .8439E+06 .1361E+05 . . 1424E+Ol .1746E+03 .7799E-01 j~~~~f~~!8l
- .2943007E+03 230.0 .8602E+06 .1387E+05 .1459E+Ol .1754E+03 .7985E-01
.
- 240. 0 . 8765E+06 .1414E+05 .1494E+Ol .1763E+03 . 8171E-01 . 2847391E+03 *
.
- 250. 0 . 8928E+06 .1440E+05 .1528E+Ol .1772E+03 .8357E-01 . 274 7265E+03 "
260.0 .9104E+06 .1468E+05 .1566E+Ol .1764E+03 .8184E-01 . 2644878E+03 270.0 .9281E+06 .1497E+05 .1604E+Ol .1756E+03 .BOlOE-01 .2542200E+03 280.0 .9457E+06 .1525E+05 .1642E+Ol .1747E+03 .7837E-01 .2439335E+03. 290. 0 . 9634E+06 .1554E+05 .1679E+Ol .1739E+03 .7663E-01 .2336390E+03 300.0 .9810E+06 .1582E+05 . . 1717E+Ol .1731E+03 . 7489E-01. .2233469E+03 310.0 .9991E+06 .1611E+05 .1756E+Ol .1722E+03 .7299E-01 .2104554E+03 320.0 .1017E+07 .1641E+05 .1794E+Ol .1713E+03 .7108E-01 .1982894E+03* 330.0 .1035E+07 .1670E+05 .1833E+Ol .1704E+03 .* .6918E-01 .1868065E+03 340.0 .1053E+07 .1699E+05 .1872E+Ol .1695E+03 .6774E-01 .1759433E+03 350.0 .1071E+07 .1728E+05 .1910E+Ol .1686E+03 .6668E-01 .1655706E+03 360.0 .1089E+07 .1757E+05 .1948E+Ol .1678E+03 .6571E-01 .1556468E+03 370.0 .1107E+07 .1786E+05 .1986E+Ol .1670E+03 .6474E-01 .1461444E+03 380.0. * .1125E+07 .1815E+05 .2024E+Ol .1661E+03 .6377E-01 . . 1370437E+03 390.0 *.1143E+07 .1843E+05 .2062E+Ol .1653E+03 .6280E-01 .1283259E+03 400.0 . . 1161E+07 .1872E+05 .2100E+Ol .1645E+03 .6182E-01 .1199734E+03 410.0 * .1178E+07 .1901E+05 .2138E+Ol * .1637E+03 . 6090E-01 .1119661E+03 420. 0 .1196E+07 .1929E+05 . 2175E+01 .1629E+03 .5998E-01 .1042857E+03 430.0 .1214E+07 .1957E+05 .2213E+Ol .1622E+03 * .5906E-01 . 9691756E+02 440.0 .1231E+07:* ~198~E+05 .2250E+Ol .1614E+03 - .5813E-01 .8984794E+02 450. 0 .1249E+0.!J,'-* ~*. 2014E+05 . 2288E+Ol .1606E+03 .5721E-01 *. 8306366E+02 - 460. 0. . .1266E+OT': . 2042E+05 . 2325E+Ol .1599E+03 .5616E-01 . 7655093E+02
- 470. 0 .1284E+-07"> . 2071E+05 . 2362E+Ol .1592E+03 .5413E-01 .7038182E+02 480. 0 .1301E+0~1:~ - . 2099E+05 . 2399E+Ol .1584E+03 .5211E-01 . 6457837E+02 490. 0 .1319E.f.O'T' . 2127E+05 . 2436E+Ol .1577E+03 - .SOOBE-01 .5912209E+02 500. 0 .1336E+07 .- -.2155E+05 .2473E+Ol .1570E+03 .4805E-01 .5399578E+02 510.0 - .1353E+07 .2183E+05 .2510E+Ol .1563E+03 . 4619E-01 .4917407E+02 520.0 .1371E+07 .2211E+05 . . 2547E+Ol .1557E+03 .4433E-01 .4463514E+02 530.0 .1388E+07 .2239E+05 .2584E+Ol .1550E+03 .4247E-01 .4036618E+02 540.0 .1405E+07 .2267E+05 .2620E+Ol .1544E+03 ~4061E-01 .3635529E+02 550-. 0 .1423E+07 . 2295E+05 .. 2657E+Ol .1537E+03 .3875E-01 . 3259141E+02
- 560.0 .1440E+07 .2322E+05 .2693E+Ol .1531E+03 .3701E-01 .2905849E+02 570.0 .1457E+07 .2350E+05 .2730E+Ol .1525E+03 .3526E-01 .2574266E+02 580.0 .1474E+07 .2378E+05 .2766E+Ol .1518E+03 .3352E-01 .2263549E+02 590. 0 .1491E+07 . 2405E+05 .28.03E+Ol .1512E+03 .3177E-01 ~1972922E+02 600.0 .1509E+07 .2433E+05 .2839E+Ol .1506E+03 .3002E-01 .1701659E+02 610.0 .1526E+07 .2461E+05 .2875E+Ol .1500E+03 . . 2839E-01 .1448558E+02 620.0 .1543E+07 .2488E+05 .2911E+Ol .1494E+03 .2780E-01 .1207837E+02
.* 630.0 .1560E+07 .2516E+05 .2947E+Ol .1489E+03 .2724E-01 .9747110E+Ol 640.0 .1577E+07 .2543E+05 .2984E+Ol .1483E+03 .2669E-01 . 7489769E+Ol 650. 0 .1594E+07 . 2571E+05. . 3_020E+Ol .1477E+03 .2613E-01 .. 5304404E+Ol
660.0 .1611E+07 . . 2598E+05 .3055E+Ol .1472E+03 .2564E-01 .3186574E+Ol 670.0 .1628E+07 .2626E+05 .3091E+Ol .1467E+03 .2514E-01 .1132486E+Ol 676.0 .1638E+07 .2642E+05 .3113E+Ol .1463E+03 .2484E-01 .OOOOOOOE+OO * --~-------------------------------------------------- Initial mass of TSP, lb = 412.2998 Undissolved TSP mass at 20 *min, cuft = ~ 0000 Fraction of undissolved TSP at 20 min, % = .0000
PALISADES NUCLEAR PLAl EA-FC-949-01 Rev J Sheet E37
\ ----i
'., ____... J'-1 .
-** *~
PALISADES NUCLEAR PLANT I DISSOLUTION TIME (new - 47 lb/ft3) EA-FC-949-01 Rev 3 1200 0.5 2.0 2.19309 47 1 10 Sheet E38 1.188 22.547 7461. 767 2938.316 1 34 6 1 1 197. 4 228886 206.9 283521 207.3 297238 20 205.1 317788 30 185.0 395404 40 173. 0 472011 50 165.0 542368 60 160.7 595462 70 160.6 617686 BO 161.5 632068 90 162.2 646177 100 162.9 660153 150 167.4 731580 . 200 172. 8 811279 250 177.2 892783 300 173 .1 981034 350 168.6 1071460 .- 400 164.5 1160690 450 160.6 1248880 500 157.0 1336150 550 153.7 1422640 600 150.6 1508550 650 147.7 1593910 700 145.1 1678760 750 142.5 1763160 800 140.2 1847190 850 138.0 1930910 900 135.9 2014360 950 133.9 2097560 1000 132.1 2180560 1050 130.3 2263370 1100 128.6 2345990 1150 127.0 2428430 1200 125.5 2510770
~~
0.009216667 0.0283333333 0.0565 0.068333333 180 0.0895 190 0.1065
PALISADES NUCLEAR PLAi DISSOLUTION TIME (new - 47 lb/ft3) EA-FC-949-01 Rev 3 Side length of TSP basket, ft * = 2. o*ooo Sheet EJ9 Height or TSP, ft . . = 2 .1931 TSP bulk density lb/cuft = 47. 0000 Sgacing between.basket and.sump floor, ft= .5000 T"ime seep used in computations, sec = 1. 0000 Constant A (flood level equation) = 1.188000
- Constant B (flood' level equat~on) 22.547000 Constant c (flood level. equation) * = 7461. 767000
*Constant D (flood level equation) =
- 2938.316000 Time, Mass of Volume of . Level of Xemp SDR, Mass of*
sec water,lb water,ft3 water,ft deg F lb/sec/ft2 TSP, lb 10.0 .2835E+06 .4573E+04 .2189E+OO .2069E+03 .1065E+OO .4123009E+03 20.0 . 3178E+06 . 51.26E+04 .2929E+OO .2051E+03 .1065E+OO .4123009E+03 30.0 .3954E+06 .6377E+04 .4602E+OO .1850E+03 .9800E-01 .4123009E+03 40.0 .4720E+06 .7613E+04 . 6253E+OO .1730E+03 . 7468E-01 .4092822E+03 50.0 .5424E+06 .8748E+04 .7767E+OO .1650E+03 . 6242E-01 * . 4054918E+03 60.0 . 5955E+06 * . 9604E+04. .8908E+OO .1607E+03 . 5733E-01 .4014918E+03 70.0 . 6177E+06 * .9963E+04 .9386E+OO .1606E+03 . 5721E-01 . 3972906E+03. ' 80.0 .6321E+06 .1019E+05 .9695E+OO .1615E+03 .5827E-01 .3928722E+03 90.0 .6462E+06 .1042E+05 .9998E+OO .1622E+03 .5910E-01 .3882387E+03 100.0 .6602E+06 .1065E+05 .1030E+Ol .1629E+03 .5993E-Ol .3833962E+03 110.0 .6744E+06 .1088E+05 .1060E+Ol .1638E+03 . 6100E-01 . 3 783287E+03 120.0 .6887E+06 .1111E+05 .1091E+Ol .1647E+03 . 6206E-01 .3730209E+03 130.0 .7030E+06 .1134E+05 .1122E+Ol .1656E+03 ~ 6313E-01 .3674678E+03 140.0 .7173E+06 .1157E+05 .1152E+Ol .1665E+03 . 6419E-01 . 3616640E+03 150.0 .7316E+06 .1180E+05 .1183E+Ol .1674E+03 . 6526E-01 .3556043E+03 160.0 .7475E+06 .1206E+05 .1217E+Ol .1685E+03 . 6653E-01 . 3492621E+03 170.0 .7635E+06 .1231E+05 .1251E+01 .1696E+03 . 6781E-01 .3426131E+03 180.0 .7794E+06 .1257E+05 .1286E+Ol .1706E+03 . 6969E-01 .3356292E+03 190.0 .7953E+06 .1283E+05 .1320E+Ol .1717E+03. . 7197E-01 .3282255E+03 200.0 . 8113E+06 .1309E+05 .1354E+Ol .1728E+03 . 7426E-01 .3203832E+03 210.. 0 .8276E+06 * .1335E+05 .1389E+Ol .1737E+03 . 7612E-01 .3121129E+03
*220.0 .8439E+06 .1361E+05 .1424E+Ol .1746E+03 . 7799E-01 . 30342'26E+03 230.0 .8602E+06 .1387E+05 .1459E+Ol . .1754E+03 . 7985E-01 .29430188+03 240.0 .8765E+06 .1414E+05 .1494E+Ol .1763E+03 .. 8171E-01 .28474028+03 250.0 .8928E+06 .1440E+05 .1528E+Ol .1772E+03 . 8357E-01 .27472768+03 260.0 .9104E+06 .1468E+05 .1566E+Ol .1764E+03 . 8184E-01 . 26448898+03 270.0 .9281E+06 .1497E+05 .1604E+Ol .1756E+03 . 8010E-01 .25422118+03 280.0 .9457E+06 .1525E+05 .1642E+Ol .1747E+03 . 7837E-01 .2439346E+03 290.0 . 9634E+06 .1554E+05 .1679E+Ol .1739E+03 . 7663E-01 . 2336401E+03 300.0 .9810E+06 .1582E+05 .1717E+Ol .1731E+03 . 7489E-01 .2224758E+03 310.0 .9991E+06 .1611E+05 .1756E+Ol .1722E+03 . 7299E-01 .2097577E+03 320.0 .1017E+07 .1641E+05 .1794E+Ol .1713E+03 . 7108E-01 .1977473E+03 330.0 .1035E+07 .1670E+05 .1833E+Ol .1704E+03 . 6918E-01 .1864038E+03 340.0 .1053E+07 .1699E+05 .1872E+Ol .1695E+03 . 6774E-01 .1756655E+03 350.0 .1071E+07 .1728E+05 .1910E+Ol .1686E+03 . 6668E-01 .1654057E+03 360.0 .1089E+07 .1757E+05 .1948E+01 .1678E+03 . 6571E-01 .1555838E+03 370.0 .1107E+07 .1786E+05 .1986E+Ol .1670E+03 . 6474E-01 .1461732E+03 380.0. .1125E+07 .1815E+05 .2024E+Ol . 1661E+03 . 6377E-01 . .1371550E+03 390.0 .1143E+07 .1843E+05 .2062E+Ol .1653E+03 . 6280E-01 .1285111E+03 400.0 .1161E+07 .1872E+05 .2100E+Ol .1645E+03 . 6182E .1202247E+03 410.0 .1178E+07 .1901E+05 .2138E+Ol .1637E+03 . 6090E-01 .1122761E+03 420.0 .1196E+07 .1929E+05 .2175E+Ol .1629E+03 .5998E-01 .1046477E+03 430.0 .1214E+07 .1957E+05 .2213E+Ol .1622E+03 .5906E-01 .9732548E+02 440.0 .12318+07 .1986E+05 .22508+01 .1614E+03 .5813E-01 .9029599E+02 450.0 .1249E+O*T._. 2014E+05 .2288E+Ol .1606E+03 .5721E-01 .8354659E+02 460.0 .1266E+OT * . 2042E+05 .2325E+Ol .1599E+03 .5616E-01 .7706391E+02 470.0 .12848+0,7!-* .* . 2071E+05 .2362E+Ol .1592E+03 . 5413E-01 .7092007E+02 480.0 .13018+0.7* . . 2099E+05 .2399E+Ol .1584E+03 . 5211E-01 .6513750E+02 490.0 .13198+0T .. 2127E+05 .2436E+Ol .1577E+03 .5008E-01 . 5969821E+02 500.0 .1336E+07 . . 2155E+05 .2473E+Ol .1570E+03 *. 4805E-01 .5458550E+02 510.0 .1353E+07 .2183E+05 .2510E+Ol .1563E+03 . 4619E-01 .4977443E+02 520.0 .1.371E+07 . 2211E+05 .2547E+Ol .1557E+03 . 4433E-01 .4524357E+02 530.*0 .1388E+07 .2239E+05 .2584E+Ol .1550E+03 . 4247E-01 . 4098046E+02 540.0 .1405E+07 . . 2267E+05 .2620E+Ol .1544E+03 . 4061E-01 . 3697349E+02 550.0 .1423E+07 .2295E+05 .2657E+Ol .1537E+03 .3875E-01 .3321186E+02 560.0 .1440E+07 .2322E+05 .2693E+Ol .1531E+03 . 3701E-01 . 2967980E+02 570.0 .1457E+07 *.2350E+05 .2730E+Ol .1525E+03 .3526E-01 .2636362E+02 .*
580.0 . . 1474E+07 .2378E+05 .2766E+Ol .1518E+03 .3352E.-01 .2325513E+02 590. 0 .1491E+07 .2405E+05 .2803E+Ol .1512E+03 .3177E-01 .2034670E+02 600.0 .1509E+07 .2433E+05 .2839E+Ol .1506E+03 .3002E-01 .1763127E+02 610.0 .1526E+07 .2461E+05 .2875E+Ol .1500E+03 .2839E-01 .1509694E+02 620. 0 .1543E+07 .2488E+05 .2911E+Ol .1494E+03 . 2780E-01 .1268593E+02
- 630.0 . . 1560E+07 . 2516E+05 .2947E+Ol .1489E+03 .2724E-01 .1035038E+02 640.0 .1577E+07 .2543E+05 .2984E+Ol .1483E+03 . 2669E-01 .8088325E+Ol 650.0 .1594E+07 .2571E+05 .3020E+Ol .1477E+03 . 2613E-01 .5897853E+Ol
660.0 .1611E+07 .2598E+05 .3055E+Ol .1472E+03 .2564E-Ol .3774560E+01 670.0 .1628E+07 .2626E+05 . 3091E+Ol .1467E+03 .2514E-01 . l 714683E+Ol 679. 0 .1643E+07 .2650E+05 .3124E+Ol .1462E+03 . . 2469E-01 .OOOOOOOE+OO
-----~-----------------------------------------------
Initial mass of TSP, lb . = 412. 3009
*.Undissolved TSP mass at 20 min, cuft = . 0000 * 'Fraction of undissolved. TSP at 20 min, %" =
- 0000
------------~--------------------------------------- PALISADES NUCLEAR PLAI EA-FC-949-01 Rev 3 Sheet E40 1*
PALISADES NUCLEAR PLANT DISSOLUTION TIME. (new 48 lb/ft3) 1 10 EA-FC-949-01 Rev 3 1200 0.5 2.0 2.14740 48 1.188 22.547 7461.767 2938 . 316 Sheet E41 1 34 6 1 1 1 197.4 228886 0 206.9 283521
- 3 207.3 297238 20 205.1 317788 30 185.0 395404 40 173. 0 472011 50 165.0 542368 -*
60 160.7 595462 70 160 ~ 6 617686 80 . 161. 5 . 632068 90 162.2 646177 100 162.9 660153 150 167.4 731580 200 172.8 811279 250 177.2 892783 300 173 .1 981034 350 168.6 1071460
.400 164.5 1160690 450 160;6 1248880 500 157.0 1336150 550 153.7 1422640 600 150.6 1508550 650 . 147. 7 1593910 700 145.1 1678760 750 142.5. 1763160 800 140.2 1847190 850 138.0 1930910 900 . 135.9 2014360 950 133.9 2097560 1000 132.1 2180560 1050 130.3 2263370 1100 128.6 2345990 1150 127.0 2428430 1200 125.5 2510770 0 0.009216667
- .. 0 0.0283333333 0 0.0565
.* 70 0.068333333 180 0.0895 190 0.1065 J.
PALISADES NUCLEAR ~LA DISSOLUTION TIME (new - 48 lb/ft3) EA-FC-949-01 Rev 3
. sid.~ -1~;g.tJi- ;f - TSP -b~;,ic~t::- ft"'. - - - - - - - - - - - - .=- ------2~ 0000 Sheet E42 Height or TSP, ft = .2.1474 TSP J:?ulk density<: lb/cuft .- 48. 0000 Spacing between Dasket and sump floor, ft .5000 T"ime seep used in computations, sec = 1.0000
.* Constant A (flood level equation) = 1.188000 Constant B (flood level equation) = 22.547000 Constant c (flood level equation) = 7461.767000 Constant D (flood- level equation) = 2938.316000 _Time, Mass *of Volume of Level of* Tempe.. SDR, Mass of sec Wa.ter, lb water, ft3 water, ft deg ~- lb/sec/ft2 TSP,lb
. 10. 0 .2835E+06 .4573E+04 .21s9E+oo* .2069E+03 .1065E+OO .4123008E+03 --------- -~-----~-
20.0 .3178E+06 .5126E+04 .2929E+OO .2051E+03 .1065E+OO .4123008E+03
- 30. 0 .3954E+06 .6377E+04 .4602E+OO .1850E+03 . 9800E-01 .. 4123008E+03 40.0 .4720E+06 .7613E+04 .6253E+OO .1730E+03 . 7468E-01 .4092821E+03 50.0 .5424E+06 .8748E+04 .7767E+OO .1650E+03 . 6242E-01 .4054917E+03 60.0 . 5955E+06 . 9604E+04 .8908E+OO .1607E+03 . 5733E-01 . 4014917E+03 70.0 . 6177E+06 . 9963E+04 .9386E+OO .1606E+03 .5721E-01 . 3972905E+03**
80.0 .6321E+06 .1019E+05 . 9695E+OO .1615E+03 . 5827E-01 .3928721E+03 . 90.0 .6462E+06 .1042E+05 .9998E+OO .1622E+03 .5910E-01 .3882385E+03 100. 0 . . 6602E+06 .1065E+05 .1030E+Ol .1629E+03 . 5993E-01 .3833961E+03 . 110.0 .6744E+06 .1088E+05 .1060E+Ol .1638E+03 . 6100E-01 .3783286E+03 120.0 .6887E+06 .1111E+05 .1091E+Ol .1647E+03 . 6206E-01 .3730208E+03 130. 0 .7030E+06 .. 1134E+05 .1122E+Ol .1656E+03 . 6313E-01 .3674676E+03 140."0 .7173E+06 .1157E+05 .1152E+Ol .1665E+03 . 6419E-01 .3616638E+03 150.0 .7316E+06 .1180E+05 .1183E+Ol * .1674E+03 * . 6526E-01 .3556042E+03 160.0 .7475E+06 .1206E+05 .1217E+Ol .1685E+03 . 6653E-01 . 3492620E+03 . 170.0 .7635E+06 .1231E+05 . . 1251E+01 .1696E+03 . 6781E-01 .3426130E+03 180.0 .7794E+06 .1-257E+05 .1286E+Ol .1706E+03 - . 6969E-01 . 3356291E+03 *- 190.0 . 7953E+06 .1283E+05* .1320E+01 .1717E+03
- 7197E-01 . 3282254E+03 200.0 .8113E+06 .1309E+05 .1354E+Ol .1728E+03 . 7426E-01 .. 3203831E+03 210.0 .8276E+06 .1335E+05 .1389E+Ol .1737E+03 . 7612E-01 . 31211 28E+03 1 220.0 .8439E+06 .1361E+05 .1424E+Ol . l 746E+03 . 7799E-01 .3034224E+03 230.0 .- 8602E+06 *.1387E+05 .1459E+Ol .1754E+03
- 7985E-01 . 2943'017E+03 240.0 . 8765E+06 .1414E+05. .1494E+Ol .1763E+03 . 8171E-01 .2847401E+03 .
250.0 .8928E+06 .1440E+05 .1528E+01 .1772E+03* . 8357E-01 .2747275E+03 260.0 .9104E+06 .1468E+05 * .1566E+01 .1764E+03 . 8184E-01 . 2644888E+03 -.. 270.0 .9281E+06 * .1497E+05 .1604E+01 "1756E+03 . BOlOE-01 ~2542209E+03 . .* 280. 0 .9457E+06 .1525E+05 .1642E+Ol .1747E+03 . 7837E-01 .2439345E+03 290.0 . 9634E+06 . . 1554E+05 .1679E+01 .1739E+03 . 7663E-01 .2336399E+03 300.0 .9810E+06 .1582E+05 . l 717E+Ol .1731E+03 -. 7489E-01 .2216461E+03 310.0 .9991E+06 .1611E+05 .1756E+Ol .1722E+03 . 7299E-01 .2090931E+03 320.0 .1017E+07 .. 1641E+05 .1794E+Ol .1713E+03 * . 7108E-01 .1972308E+03. 330.0 .1035E+07 .1670E+05 .1833E+Ol .1704E+03. . 6918E-Ol * .1860202E+03 3.40. 0 .1053E+07 .1699E+05 . 1872E+Ol. .1695E+03 . 6774E-01 . .1754013E+03 350.0 .1071E+07 .1728E+05 .1910E+Ol .1686E+03 . 6668E-01 .1652493E+03 360.0 .1089E+07 .1757E+05 .1948E+Ol .1678E+03 . 6571E-01 .1555248E+03 370.0 .1107E+07 .1786E+05 .1986E+Ol .1670E+03
- 6474E-01 .1462022E+03
- 380. 0 . .1125E+07 .1815E+05 .2024E+Ol .1661E+03 . 6377E-01 .1372631E+03 390.0 .1143E+07 .1843E+05 * .2062E+Ol * .1653E+03 . 6280E-01 .1286902E+03 400~0 .1161E+07 .1872E+05 .2100E+Ol .1645E+03 . 6182E-01 .1204672E+03.
410.0 .1178E+07 .1901E+05 .2138E+Ol .1637E+03 . 6090E*-01 .1125752E+03 -* 420.0- .1196E+07 .1929E+05 .2175E+Ol .1629E+03 .5998E-01 .1049970E+a3* 430. 0 .1214E+0.7 * .1957E+05 .2213E+Ol .1622E+03 .5906E-01 .9771901E+02 440.0 *.1231E+0_7 *. .1986E+05 .2250E+Ol .1614E+03 .5813E-01 .9072835E+02 450.0 .1249E+0;7 - .2014E+05 .2288E+Ol * .1606E+03 * .5721E-01 .8401277E+02-460.0 .1266E+OT*_ . 2042E+05
- 2325E+Ol_ . .1599E+03 . 5616E-01 . 7755928E+02
- 470.0 .1284E+07- . 2071E+05 .2362E+Ol .1592E+03 . 5413E-01 . 7144007E+02 .*
480.0 .1301E+OT' ~2099E+05 .2399E+Ol- .1584E+03 .5211E-01 * . 6567791E+02 .-* 490. 0 .1319E+07 .2127E+05 .2436E+Ol .1577E+03 . . SOOBE-01 .6025531E+02 500.0 .1336E+07 .2155E+05 .2473E+Ol .1570E+03 . 4805E-01 .5515601E+02 510.0 .1353E+07 .2183E+05 .2510E+Ol .1563E+03 . 4619E-01 .5035552E:i-02 520. 0 .1371E+07 .2211E+05 .2547E+Ol .1557E+03 . 4433E-01 .4583277E+02 530.0 .1388E+07 .2239E+05 .2584E+Ol .1550E+03 .4247E-01 .4157561E+02 540.0 .1405E+07 .2267E+05 .2620E+Ol .1544E+03 . 4061E:..01 .3757272E+02 550.0 .1423E+07 .2295E+05 .2657E+Ol .1537E+03 .3875E-01 .. 3381356E+02 560.0 .1440E+07 .2322E+05 .2693E+01 .1531E+03 . 3701E-01 .. 3028261E+02 570.0 .1457E+07 .2350E+05 .2730E+Ol * .1525E+03 .3526E-01 . 2696638E+02 580.0 .1474E+07 .2378E+05 .2766E+Ol .1518E+03 .3352E-01 .2385687E+02 590. 0 .1491E+07 .2405E+05 .28-03E+Ol .1512E+03 . 3177E-01 .2094663E+02 600.0 .1509E+07 .2433E+05 .2839E+Ol .1506E+03 .3002E-01 .1822873E+02 610. 0 .1526E+07 .2461E+05 .2875E+Ol .1500E+03 . 2839E-01 .1569142E+02 620.0 .1543E+07 .2488E+05 .2911E+Ol .1494E+03 . 2780E-01 .1327697E+02 630. 0 .1560E+07 .2516E+05 .2947E+01 .1489E+03 * . 2724E-01 .1093750E+02 640.0 .1577E+07 .2543E+05 .2984E+Ol .1483E+03 .2669E-01 .8671106E+01 650.0 .. 1594E+07 . 2571E+05 .3020E+Ol .1477E+0_3 . 2613E-01 . 6475911E+Ol
660.0 .1611E+07 .2598E+05 .3055E+Ol .1472E+03 .2564E-01 .4347546E+Ol 670. 0 .1628E+07 .2626E+05 . 3091E+Ol .1467E+03 . 2514E- 01 .2282279E+Ol 680.0 .1645E+07 .2653E+05 .3127E+Ol .1461E+03 .2464E-01 .2785926E+OO 682.0 .1648E+07 .2658E+05 .3134E+Ol .1460E+03 .2454E-01 .OOOOOOOE+OO Initial mass of TSP, lb = 412.3008 Undissolved TSP mass at 20 min, cuft = .0000 Fraction of undissolved TSP at 20 min, % = .0000
..:____ PALISADES NUCLEAR PLA EA-FC-949-01 Rev 3 Sheet E43
,,~ I
PALISADES NUCLEAR PLANT DISSOLUTION.TIME (new - 49 lb/ft3) 1 10 EA-FC-949-01 Rev 3 1200 0.5 2.0 2.10357 49 1.188 22.547 7461.767 2938.316 sheet E44 1 34 6 1 1 197.4 228886 0 206.9 283521 13 207. 3 297238 20 205.1 317788 30 185.0 395404 40 173.0 472011 50 165. 0 542368 60 160. 7 595462 70 160. 6 617686 80 161. 5 632068 90 162.2 646177 100 162.9 660153 150 167. 4 731580 200 172. 8 811279 250 177. 2 892783 300 173.1 981034 350 168.6 1071460 400 164.5 1160690 450 160.6 1248880 500 157.0 1336150 550 153.7 1422640 600 150.6 1508550 650 147.7 1593910 700 145.1 1678760 750 142.5 1763160 800 140.2 1847190 850 138.0 1930910 900 135.9 2014360 950 133.9 2097560 1000 132.1 2180560 1050 130.3 2263370 1100 128.6 2345990 1150 127.0 2428430 125.5 2510770 ~go 0.009216667 0.0283333333 960 170 0.0565 0.068333333 180 0.0895 190 0.1065
PALISADES NUCLEAR PLA DISSOLUTION TIME (new - 49 lb/ft3) EA-FC-949-0J._ Rev 3 sid.~-1~;;.g.tli-;f-TSP-b~;k~t:-ft----~--------~-------2:0000 Sheet E45 . Height or TSP, ft = . 2.1036 TSP bulk density lb/cuft * = 49. 0000 SP,acing between.basket and.sump floor, ft= .5000 Tl.me s1:ep used in computations, sec = 1. 0000 Constant A (flood level equation) = 1.188000 Constant B (flood level equation) = 22.547000 Constant C (flood level equation) = 7461.767000 Constant D (flood level equation) = 2938.316000 Time, Mass of Volume of Level of rr,emp SDR, Mass of sec water,lb water,ft3 water,ft deg F lb/sec/ft2 TSP,lb
------ --------- --------- --------- --~------ ---------
- 10. 0 .2835E+06 .4573E+04 .2189E+OO .2069E+03 * .1065E+OO .4122997E+03 20.0 .3178E+06 .5126E+04 .2929E+OO .2051E+03 .1065E+OO .4122997E+03 30.0 .3954E+06 .6377E+04 .4602E+OO .1850E+03 .9800E-01 .4122997E+03
.40.0 .4720E+06 .7613E+04 .6253E+OO .1730E+03 .7468E-01 .4092810E+03 50.0 .5424E+06 .8748E+04 .7767E+OO .1650E+03 .6242E-01 .4054906E+03 ,
- 60. 0 . 5955E+06 . 9604E+04 . 8908E+OO .1607E+03 ~ 5733E-01 . 4014906E+03 /
70.0 .6177E+06 .9963E+04 .9386E+OO .1606E+03 .5721E-01 .3972894E+03 80.0 .6321E+06 .1019E+05 .9695E+OO .1615E+03 .5827E-01 .3928710E+03 90.0 .6462E+06 .1042E+05 .9998E+OO .1622E+03 .5910E-01 .3882375E+03 100.0 .6602E+06 .1065E+*05 .1030E+Ol .1629E+03 .5993E-01 .3833950E+03 110.0 .6744E+06 .1088E+05 .1060E+Ol .1638E+03 . . 6100E-01 .3783275E+03 120.0 .6887E+06 .1111E+05 .1091E+Ol .1647E+03 .6206E-01 .3730197E+03 130. 0 . 7030E+06 .1134E+05 .1122E+"Ol .1656E+03 . 6313E-01 ~ 3674666E+03 140. 0 . 7173E+06 .1157E+05 .1152E+Ol .1665E+03 . 6419E-01 . 3616628E+03 150.0 .7316E+06 .1180E+05 .1183E+Ol .1674E+03 .6526E-01 .3556031E+03 160.0 .7475E+06 .1206E+05 .1217E+Ol .1685E+03 .6653E-01 .3492609E+03. 170.0 .7635E+06 .1231E+05 .1251E+Ol .1696E+03 .6781E-01 .3426119E+03 180.0 .7794E+06 .1257E+05 .1286E+Ol .1706E+03 .6969E-01 .3356280E+03 190.0 .7953E+06 .1283E+05 .1320E+Ol .1717E+03 .7197E-01 .3282243E+03 200.0 .8113E+06 .1309E+05 .1354E+Ol .1728E+03 .7426E-01 .3203820E+03 210. 0 . 8276E+06 .1335E+05 .1389E+Ol .1737E+03 . 7612E-01 . 312ll*-17E+03 220.0 .8439E+06 .1361E+05 .1424E+Ol .1746E+03 * .7799E-01 .3034214E+03 230.0 .8602E+06 .1387E+05 .1459E+Ol ;1754E+03 .7985E-01 .2943006E+03 240.0 .8765E+06 .1414E+05 .1494E+Ol .1763E+03 .8171E-01 .2847390E+03 250.0 .8928E+06 .1440E+05 .1528E+Ol .1772E+03 .8357E-01 .2747264E+03 260.0 .9104E+06 .1.468E+05 .1566E+Ol .1764E+03 ~8184E-01 .2644877E+03 270.0 .9281E+06 .1497E+05 .1604E+Ol .1756E+03 .8010E-01 .2542199E+03 280.0 .9457E+06 .1525E+05 .1642E+Ol .1747E+03 .7837E-01 .2439334E+03 290.0 .9634E+06 .1554E+05 .1679E+Ol .1739E+03 .7663E-01 .2336389E+03 300.0 .9810E+06 .1582E+05 .1717E+Ol* .1731E+03 .7489E-01 .2208538E+03 310. 0 . 9991E+06 .1611E+05 .1756E+Ol .1722E+03 . 7299E-01 . 2084582E+03 320.0 .1017E+07 .1641E+05 .1794E+Ol .1713E+03 .7108E-01 .1967373E+03 330. 0 .1035E+07 .1670E+05 .1833E+Ol .1704E+03 . 6918E-01 .1856536E+03 340. 0 .1053E+07. .1699E+05 .1872E+Ol .1695E+03 . 6774E-01 .1751486E+03 350.0 .1071E+07 .1728E+05 .1910E+Ol .1686E+03 .6668E-01 .1650998E+03* 360.0 .1089E+07 .1757E+05 .1948E+Ol .1678E+03 .6571E-01 .1554687E+03 370. 0 .1107E+07 .1786E+05 .1986E+Ol .1670E+03 . 6474E-01 .1462304E+03 380.0 .1125E+07 .1815E+05 .2024E+Ol .1661E+03 .6377E-01 .1373672E+03 390. 0 .1143E+07 .1843E+05 . 2062E+Ol .1653E+03 . 6280E-01 .1288626E+03 400.0 .1161E+07 .1872E+05 .2100E+Ol .1645E+03 .6182E-01 .1207007E+03 410.0 *.1178E+07 .1901E+05 .2138E+Ol .1637E+03 .6090E-01 .1128631E+03 420.0 .1196E+07 .1929E+05 .2175E+Ol .1629E+03 .5998E-01 .1053333E+03 430.0 . . 1214E+:07, .1957E.+05 .2213E+Ol .1622E+03 .5906E-01 .9809813E+02 440. 0 * .1231E+07.-. * .1986E+05 . 2250E+Ol .1614E+03 . 5813E-01 . 9114508E+02
- 450. 0 *.1249E+a.7~- -*. 2014E+05 . 2288E+Ol .1606E+03 . 5721E-01 . 8446231E+02 460. 0 .1266E+OT .2042E+05 .. 2325E+Ol .1599E+03 .5616E-01 . 7803723E+02 470.0 .1284E+0.7 .2071E+05 .2362E+Ol .1592E+03 .5413E-01 .7194204E+02 480. 0 .13 01E+07- . 2099E+05 . 2399E+Ol .1584E+03 . 5211E-01 . 6619985E+02 490. 0 .1319E+OT - . 2127E+05 . 2436E+Ol .1577E+03 . 5008E-01 . 6079364E+02 500.0 .1336E+07 .2155E+05 .2473E+Ol .1570E+03 .4805E-01 .5570759E+02 510.0 .1353E+07 .2183E+05 .2510E+Ol .1563E+03 *.4619E-01 *.5091761E+02 520.0 .1371E+07 .2211E+05 .2547E+Ol .1557E+03 .4433E-01 .4640298E+02.
530.0 .1388E+07 .2239E+05 .2584E+Ol .1550E+03 .4247E-01 .4215186E+02 540.0 .1405E+07 .2267E+05 .2620E+Ol .1544E+03 .4061E-01 .3815320E+02 550.0 .1423E+07 .2295E+05 .2657E+Ol .1537E+03 .3875E-01 .3439673E+02 560.0 .1440E+07 .2322E+05 .2693E+Ol .1531E+03 .3701E-01 .3086712E+02 570.0 .1457E+07 .2350E+05 .2730E+Ol .1525E+03 .3526E-01 .2755112E+02 580.0 .1474E+07 .2378E+05 .2766E+Ol .1518E+03 .3352E-01 .2444088E+02 590.0 .1491E+07 .2405E+05 .2803E+Ol .1512E+03 .3177E-Ol .2152912E+02 600.0 .1509E+07 .2433E+05 .2839E+Ol .1506E+03 .3002E-01 .1880908E+02 610. 0 .1526E+07 . 2461E+05 . 2875E+Ol .1500E+03 * . 2839E-01 .1626911E+02 620.0 .1543E+07 .2488E+05 .2911E+Ol .1494E+03 .2780E-01 .1385154E+02 630.0 .1560E+07 .2516E+05 .2947E+Ol .1489E+03 * .2724E-01 * .1150851E+02 640.0 .1577E+07 .2543E+05 .2984E+Ol .1483E+03 .2669E-01 .9238122E+Ol 650.0 .1594E+07 .2571E+05 .3020E+Ol .1477E+03 .2613E-01 .7038565E+Ol
660. 0 . . 1611E+07 . 2598E+05 . 3055E+Ol .14.72E+03 . 2564E-01 .4905496E+Ol 670.0 .1628E+07 .2626E+05 .3091E+Ol .1467E+03 .2514E-01 .2835212E+Ol 680.0 .1645E+07 .2653E+05 .3127E+Ol .1461E+03 .2464E-01 .8262289E+OO 685.0 .1653E+07 .2667E+05 .3145E+Ol .1459E+03 .2440E-01 .OOOOOOOE+OO nitial mass of TSP, lb . = 412.2997 Undissolved TSP mass at 20 min, cuft =
- 0000 Fraction of undissolved TSP at 20 min, % = .0000
---------------------------------------------------- PALISADES NUCLEAR PLAN EA-FC-949-01 Rev 3 Sheet E46
PALISADES NUCLEAR PLANT DISSOLUTION TIME (new - 50 lb/ft3) EA-FC-949-01 Rev 3 1200 0.5 2.0 2.06150 50 1 10 Sheet E47 1.188 22.547 7461. 767 2938. 316 1 34 6 1 1- 1 197. 4 228886 0 206.9 283521 3 207.3 - 297238 20 205.1 317788 30 185. 0 - 395404 40 173. 0 472011 50 165. 0 542368 60 160.7 595462
--- 70 160.6 617686 80 161.5 632068 90 162.2 646177 100 162.9 660153 150 167. 4 -- 731580
- 200 172. 8 - 811279 250 177.2 892783 300 173 .1 981034 350 168.6 1071460 400 164.5 1160690 450 160.6 1248880 500 157. 0 1336150 550 153.7 1422640-600 150.6 1508550
- 650 147.7 1593910 700 145.1 1678760 750 142.5 1763160 800 140.2 1847190 850 138.0 1930910-900 135.9 2014360 ...._,
950 133.9 2097560 *~-:. 1000_ 132.1 2180560 ., 1050 130.3 2263370
.0 1100 128.6 2345990 *-:.:- \
1150 127.0 2428430 -- -- 1200 125.5 2510770 0.009216667 0 0.0283333333 0 0.0565 ' 0 - 0.068333333 _- 180 - *0.0895 190 0.1065 __, --:~> - --
* . ..... . ::.,,,*~~* .
PALISADES NUCLEAR PLAl DISSOLUTION TIME (new - 50 lb/ft3) EA-FC-949-01 Rev 3
----------------------------------------------------- Sheet E48 Side length of TSP basket, ft = 2.0000 Height or TSP, ft = 2.0615 TSP bulk density lb/cuft = 50.0000 acing between basket and sump floor, ft = .5000 me step used in computations, sec = 1.0000
- nstant A (flood level equation) = 1.188000 Constant B (flood level equation) - 22.547000 Constant C (flood level equation) = 7461. 767000 Constant D (flood level equation). = 2938. 316000 Time, Mass of Volume of Level of Temp . SDR, Mass of sec water,lb water,ft3 - water,ft deg F lb/sec/ft2 TSP,lb 10.0 .2835E+06 .4573E+04 .2189E+OO .2069E+03 .1065E+OO .4123000E+03 20.0 .3178E+06 .5126E+04 .2929E+OO .2051E+03 .1065E+OO .4123000E+03 30.0 .3954E+06 .6377E+04 .4602E+OO .1850E+03 .9800E-01 .4123000E+03 40.0 .4720E+06 .7613E+04 .6253E+OO .1730E+03 . 7468E-01 .4092813E+03 50.0 .5424E+06 .8748E+04 .7767E+OO .1650E+03 . 6242E-01 .4054909E+03 60.0 .5955E+06 .9604E+04 .8908E+OO .1607E+03 .5733E-01 .4014909E+03 70.0 .6177E+06 .9963E+04 .9386E+OO .1606E+03 . 5721E-01 . 3972897E+03.
80.0 .6321E+06 .1019E+05 .9695E+OO - .1615E+03 .5827E-01 .3928713E+03 90.0 .6462E+06 .1042E+05 .9998E+OO .1622E+03 .5910E-01 .3882377E+03 100.0 .6602E+06 .1065E+05 .1030E+Ol .*1629E+03* .5993E-01 .3833953E+03 110.0 ~6744E+06 .1088E+05 .1060E+Ol .1638E+03 .6100E-01 -.3783278E+03 120.0 .6887E+06 .1111E+05 .1091E+Ol .1647E+03 . 6206E-01 .3730200E+03
- 130. 0 , .7030E+06 .1134E+05 .1122E+Ol .1656E+03 . 6313E-01 .3674668E+03 140.0 .7173E+06 .1157E+05 .1152E+Ol .1665E+03 . 6419E-01 ; 3616630E+03 150. 0 .7316E+06 .1180E+05 .1183E+Ol .1674E+03 . 6526E-01 .3556034E+03 160.0 .7475E+06 .1206E+05 .1217E+Ol .1685E+03 . 6653E-01 .3492612E+03 170. 0 . 7635E+06 .1231E+05 .1251E+Ol .1696E+03 . 6781E-01 .3426122E+03-180.0 .7794E+06 .1257E+05 .1286E+Ol .1706E+03 . 6969E-01 .3356283E+03 190.0 .7953E+06 .1283E+05 .1320E+Ol .1717E+03 . 7197E-01 .3282246E+03
*200.0 .8113E+06 .1309E+05 .1354E+()l .1728E+03 . 7426E-01 .3203823E+03 210.0 .8276E+06 .1335E+05 .1389E+Ol .1737E+03 . 7612E-01 .3121120E+03 220.0 .8439E+06 .1361E+05 .1424E+Ol .1746E+03 . 7799E-01 .3034216E+03 230.0 . 8602E+06 .1387E+05 * .1459E+Ol .1754E+03 . 7985E-01 .2943009E+03 240.0 . 8765E+06 .. 1414E+05 .1494E+Ol .1763E+03 . 8171E-01 .2847393E+03 250.0 .8928E+06 . . 1440E+05 .1528E+Ol . l772E+03 . 8357E-01 .2747267E+03 260.0 -.9104E+06 .1468E+05 .1566E+Ol .1764E+03 . 8184E-01 .2644880E+03 270.0 _.9281E+06 .1497E+05 .1604E+Ol .1756E+03 .2542201E+03 280.0 .9457E+06 ~1525E+05 .1642E+Ol .1747E+03 290.0 .9634E+06 .1554E+05 * .1679E+Ol .1739E+03 . 7663E-01
*: ~~~~~=Kf .2439337E+03_
.2333363E+03 300.0 .9810E+06 .1582E+05 .1717E+Ol .1731E+03 . 7489E-01 . 2203963E+03 310.0 .9991E+06 .1611E+05 .1756E+Ol .1722E+03 . 7299E-01 .2081420E+03 320.0 .1017E+07 .1641E+05 .1794E+Ol .1713E+03 . 7108E-01 .1965479E+03 330.0 .1035E+07 .1670E+05 .1833E+Ol .1704E+03 . 6918E-01 .1855776E+03 340~0 * .1053E+07 .1699E+05 .1872E+Ol .1695E+03 . 6774E-01 .1751743E+03
, 350. 0 .1071E+07 .1728E+05 .1910E+Ol .1686E+03 . 6668E-01 .1652172E+03 360. 0 .1089E+07 .1757E+05 .1948E+Ol .1678E+03 . 6571E-01 .1556688E+03
-370.0 .1107E+07 .1786E+05 .1986E+Ol *.1670E+03 . 6474E-01 .1465049E+03 380.0 .1125E+07 .1815E+05 .2024E+Ol .1661E+03 * . 6377E-01 .1377084E+03 390.0 .1143E+07 .1843E+05 .2062E+Ol .1653E+03 . 6280E-01 .1292634E+03 400.0 .1161E+07 .1872E+05 .2100E+Ol .1645E+03 . 6182E-01 .1211545E+03 410.0 .1178E+07 . . 1901E+05 .2138E+Ol .1637E+03 . 6090E-01 .1133639E+03 420.0 .1196E+07 .1929E+05 .2175E+Ol .1629E+03 .5998E-01 .1058755E+03 430.0 .1214E+07. .1957E+05 .2213E+Ol .1622E+03 .5906E-01 .9867660E+02 440-. 0 .1231E+07- .1986E+05 .2250E+Ol .1614E+03 .5813E-01 . 9175505E+02
- 450. o* .1249E+07< . . 2014E+05 . . 2288E+Ol. .1606E+03 . 5721E-01 .8509938E+02 460.0 .1266E+0.1-- . 2042E+05 .2325E+Ol .1599E+03 .5'616E-01 . 7869736E+02 470.0 .1284E+O*T . 2071E+05 .2362E+Ol .1592E+03 .5413E-01 . 7262127E+02 480.0 .1301E+07 .2099E+05 .2399E+Ol .1584E+03 .5211E-01 .6689454E+02 490.0 .1319E+07 - . 2127E+05 .2436E+Ol .1577E+03 .5008E-01 .6150059E+02 500.0 .1336E+07 .2155E+05 .2473E+Ol .1570E+03 .4805E-01 .5642399E+02 510. 0 .1353E+07 .2183E+05 .2510E+Ol .1563E+03 .4619E-01 .5164102E+02 520.0 .1371E+07 .2211E+05 .2547E+Ol .1557E+03 .4433E-01 .4713130E+02 530. 0 .1388E+07 .2239E+05 .2584E+Ol .1550E+03 .4247E-01 .4288326E+02 540.0 .1405E+07 .2267E+05. .2620E+Ol .1544E+03 . 4061E-01 , . 3888612E+02 550.0 .1423E+07 .2295E+05 .2657E+01 .1537E+03 . 3875E-01 . 3512982E+02 .
560.0 .1440E+07 .2322E+05 .2693E+Ol .1531E+03 . 3701E-01 .3159925E+02 570.0 .1457E+07 .2350E+05 .2730E+Ol .1525E+03 .3526E-01 .2828135E+02 580.0 .1474E+07 .2378E+05 .2766E+Ol. .1518E+03 .3352E-01 .2516843E+02 590.0 .1491E+07 .2405E+05 .2803E+Ol .1512E+03 .3177E-01 .2225336E+02 600.0 .1509E+07 .2433E+05 .2839E+Ol .1506E+03 .3002E-01 .1952952E+02 610. 0 .1526E+07 .2461E+05 .2875E+Ol .1500E+03 . 2839E-01 .1698538E+02 620. 0 .1543E+07 .2488E+05 .2911E+Ol .1494E+03 .2780E-01 .1456327E+02 630. 0 .1560E+07 .2516E+05 .2947E+01 .1489E+03 .2724E-01 .1221531E+02 640.0 .1577E+07 .2543E+05 .2984E+Ol .1483E+03 .2669E-01 . 993963 7E+Ol 650.0 .1594E+07 .2571E+05 .3020E+01 . . 1477E+03 .2613E.:..Ol . 7734478E+Ol J
660. 0 .1611E+07 .. 2598E+05 . 3055E+Ol .14 72E+03 . 2564E-01 ~5595520E+Ol 670.0 .1628E+07 .2626E+05 .3091E+Ol .1467E+03 .2514E-01 .3519086E+Ol 680.0 .1645E+07 .2653E+05 .3127E+Ol .1461E+03 .2464E-01 .1503720E+Ol 688.0 .1658E+07 .2675E+os .3156E+Ol .1457E+03 .2425E-01 .OOOOOOOE+OO Initial mass of TSP, lb = 412.3000 Undissolved TSP mass at 20 min, cuft = .0000 Fraction of undissolved TSP at 20 min, % = .0000
---------------------------------------------------- PALISADES NUCLEAR PLAl-EA-FC-949-01 Rev 3 Sheet E49
~,
-~~*
<,. '*,:.~:_.-..-~r-
PALISADES NUCLEAR PLANT DISSOLUTION TIME (new - 51 lb/ft3) EA-FC-949-01 Rev 3 1200 0.5 2.0 2.02108 51 l.188 22.547 7461.767 ~938.31610 Sheet ESQ 1 34 6 1 1 197.4 228886 0 206.9 283521 13 207.3 297238 - 20 205.l 317788 30 185.0 395404 40 173.0 472011 50 165.0 542368 60 160.7 595462 70 160.6 617686 80 161.5 632068 90 162.2 646177 100 162.9 660153 150 167.4 731580 200 172.8 811279 250 177.2 892783 300 173.1 981034 350 168.6 1071460 400 164.5 1160690 450 160.6 1248880 500 157.0 1336150 550 153.7 1422640 600 150.6 1508550 650 147.7 1593910 700 145.1 1678760 750 142.5 1763160 800 140.2 1847190 850 138.0 1930910 900 135.9 2014360 950 133.9 2097560 1000 132.1 2180560 1050 130.3 2263370 1100 128.6 2345990 -i; . 1150 127.0 2428430 1200 125.5 2510770 0 0.009216667 0 0.0283333333
- 60 o. 0565 170 0.068333333 180 0.0895 190 0.1065
PALISADES NUCLEAR PLAJ DISSOLUTION TIME (new - 51 lb/ft3) EA-FC-949-01 Rev 3
-:------------------------------------------------~-- Sheet E51 Side length of TSP basket, ft = 2.0000 Height or TSP, ft = 2.0211 TSP bulk density lb/cuft = 51.0000 SP,acing between.basket and.sump floor, ft= .5000 T"ime seep used in computations, sec = 1.0000 Constant A (flood level equation) = 1.188000 Constant B (flood level equation) = 22.547000 Constant C (flood level equation) = 7461.767000 Constant D (flood level equation) = 2938.316000 Time, Mass of Volume of Level of Temp SDR, Mass of sec water,lb water,ft3 water,ft deg F lb/sec/ft2 TSP,lb 10.0 .2835E+06 .4573E+04 .2189E+OO .2069E+03 .1065E+OO .4123003E+03 20.0 .3178E+06 .5126E+04 .2929E+OO .2051E+03 .1065E+OO . 4123003E+03 .*
30.0 .3954E+06 .6377E+04 .4602E+OO .1850E+03 .9800E-01 ;4123003E+03 40.0 .4720E+06 .7613E+04 .6253E+OO .1730E+03 . 7468E-01 .4092816E+03 50.0 .5424E+06 .8748E+04 .7767E+OO .1650E+03- . 6242E-Ol .4054912E+03 60.0 .5955E+06 .9604E+04 .8908E+OO ~1607E+03 . 5733E-01 .4014912E+03 70.0 .6177E+06 .9963E+04 .9386E+OO .1606E+03 .5721E-01 . 3972900E+03,. 80.0 .6321E+06 .1019E+05 .9695E+OO .1615E+03 . 5827E-01 .3928716E+03 90.0 .6462E+06 .1042E+05 .9998E+OO .1622E+03 .5910E:.01 .3882381E+03 100.0 .6602E+06 .1065E+05 .1030E+Ol .1629E+03 . 5993E-01 .3833956E+03 110.0 .6744E+06 .1088E+05 .1060E+Ol .1638E+03 . 6100E-01 . 3 783281E+03 120.0 .6887E+06 .1111E+05 .1091E+Ol .1647E+03 . 6206E-01 . 3730203E+03
.130.0 .7030E+06 .1134E+05 .1122E+Ol .1656E+03 . 6313E-01 .3674672E+03 140.0 .7173E+06 .1157E+05 .1152E+Ol .1665E+03- . 6419E-01 . 3616634E+03 150.0 .7316E+06 .1180E+05 .1183E+Ol .1674E+03 . 6526E-01 .3556037E+03 160.0 .7475E+06 .1206E+05 .1217E+Ol .1685E+03 . 6653E-01 . 3492615E+03 .
170.0 .7635E+06 .1231E+05 .1251E+Ol .1696E+03 . 6781E-01 .3426125E+03 180.0 .7794E+06 .1257E+05 .1286E+Ol .1706E+03 . 6969E-01 .3356286E+03 190. 0 .7953E+06 .1283E+05 .1320E+Ol .1717E+03 . 7197E-01 .3282249E+03 200.0 .8113E+06 .1309E+05 .1354E+Ol .1728E+03 . 7426E-01 .3203826E+03 210.0 .8276E+06 .1335E+05 .1389E+Ol .1737E+03 . 7612E-01 .3121123E+03 220.0 .8439E+06 .1361E+05 .1424E+Ol .1746E+03 . 7799E-01 .3034220E+03 230.0 .8602E+06 - .1387E+05 .1459E+Ol .1754E+03 . 7985E-01 .2943012E+03 240.0 .8765E+06 .1414E+05 .1494E+Ol .1763E+03 . 8171E-01 .2847396E+03
- 250.0 .8928E+06 .1440E+05 .1528E+Ol .1772E+03 . 8357E-01 * .2747270E+03 -
260.0 .9104E+06 .1468E+05 .1566E+Ol .1764E+03 . 8184E-01 . 2644883E+03 270.0 .9281E+06 .1497E+05 .1604E+Ol .1756E+03 . 8010E-01 .2542205E+03
- 280.0 .9457E+06 .1525E+05 .1642E+Ol .1747E+03 . 7837E-01 .2439340E+03 290.0 .9634E+06 .1554E+05 .1679E+Ol .1739E+03 . 7663E-01 .2324534E+03 300.0 .9810E+06 .1582E+05 . l 717E+Ol .1731E+03 . 7489E-01 .2196725E+03 310.0 .9991E+06 _ .1611E+05 .1756E+Ol .1722E+03 . 7299E-01 .2075617E+03 320.0 .1017E+07 .1641E+05 .1794E+Ol .1713E+03 . 7108E-01 .1960968E+03 330.0 .1035E+07 * .1670E+05 .1833E+Ol .1704E+03 . 6918E-01 .1B52427E+03 340.0 .1053E+07 .1699E+05. .1872E+Ol .1695E+03 . 6774E-01 .1749439E+03 350.0 .1071E+07 .1728E+OS .1910E+Ol .1686E+03 . 6668E-01 .1650816E+03 360.0 .1089E+07 .1757E+05 .1948E+Ol .1678E+03 . 6571E-01 .1556192E+03 370.0 .1107E+07 .1786E+05 .1986E+Ol .1670E+03 . 6474E-01 .1465331E+03 380.0 .1125E+07 .1815E+05 .2024E+Ol .1661E+03 . 6377E-01 .1378069E+03 390.0 .1143E+07 .1843E+05 .2062E+Ol .1653E+03 . 6280E-01 .1294251E+03
.400.0 .1161E+07 .1872E+05 .2100E+Ol .1645E+03 . 6182E-01 .1213730E+03 410.0 .1178E+07 .1901E+05 .2138E+Ol .1637E+03 . 6090E-01 .1136332E+03 420.0 .1196E+07 .1929E+05 .2175E+Ol .1629E+03 .5998E-01 _ .1061900E+03 430.0 .1214E+07 .1957E+05 .2213E+Ol. .1622E+03 .5906E-01 .9903116E+02 440.0 .1231E+07 * .1986E+05 .2250E+Ol. -.1614E+03 .5813E-01 .. 9214497E+02 450.0 . . 1249E+01 -". 2014E+05 .2288E+Ol .1606E+03 .5721E-01 .8552028E+02 460.0 .1266E+07-: .2042E+05 .2325E+Ol .1599E+03 .5616E-01 .7914520E+02 470.'0 .1284E+OT . . 2071E+05 .2362E+Ol .1592E+03 . 5413E-01 . 7309200E+02 480.0 .1301E+07- .2099E+05 .2399E+Ol .1584E+03 .5211E-01 .6738442E+02 490.0 .1319E+OT . 2127E+05 .2436E+Ol .1577E+03 .SOOBE-01 . 6200630E+02 500.0 .1336E+OT .2155E+05 .2473E+Ol .1570E+03 . 4805E-01 . 5694261E+02 510.0 .1353E+07 .2183E+05 .2510E+Ol .1563E+03 . 4619E-01 .5217001E+02 520.0 .1371E+07 '.2211E+05 .2547E+Ol .1557E+03 . 4433E-01 .4766842E+02 530. 0 .1388E+07 .2239E+05 .2584E+Ol .1550E+03 .4247E-01 .4342657E+02 540.0 .1405E+07 .2267E+05 .2620E+Ol .1544E+03 . 4061E-01 .3943392E+02 550.0 .1423E+07 .2295E+05 .2657E+Ol .1537E+03 .3875E-01 .3568064E+02 560.0 .1440E+07 .2322E+05 .2693E+Ol .1531E+03 .3701E-01 .3215184E+02 570.0 .1457E+07 .2350E+05 .2730E+Ol .1525E+03 .3526E-01 .2883462E+02 580.0 .1474E+07 .2378E+05 .2766E+Ol .1518E+03 .3352E-01 .2572149E+02 590. 0 .1491E+07 .2405E+05 .28-03E+Ol .1512E+03 . 3177E-01 .2280546E+02*
600.0 .1509E+07 .2433E+05 .2839E+Ol .1506E+03 .3002E-01 .. 2008004E+02 10.0 .1526E+07 .2461E+05 .2875E+Ol .1500E+03 . 2839E-01 .1753382E+02 20.0 .1543E+07 .2488E+05 .2911E+Ol .1494E+03 . 2780E-01 .1510919E+02
- 30.0 .1560E+07 .2516E+05 .2947E+Ol .1489E+03 .2724E-01 .1275826E+02 640.0 .1577E+07 .2543E+05 .2984E+Ol .1483E+03 .2669E-01 .1047924E+02 650.0 .1594E+07 .2571E+05 .3020E+Ol .1477E+03 . 2,613E-01 . 8270363E+01
660.0 .1611E+07 .2598E+05 .3055E+Ol .1472E+03 .2564E-01 . 6127361E+01 670.0 .1628E+07 .2626E+05 .3091E+01 .1467E+03 .2514E-01 .4046583E+01 680. 0 .1645E+07 . 2653E+05 *.3127E+01 .1461E+03 .2464E-01 .2026602E+01 690.0 .1662E+07 .2680E+05 .3163E+Ol .1456E+03 .2415E-01 . 6604446E- 01 691. 0 .1663E+07 . 2683E+05 . . 3167E+Ol .1456E+03 . 2410E-D_1 *. .OOOOOOOE+OO
'Ini ti.al mass of TSP, lb =
- 412. 3003 Undissolved TSP* mass at 20 min, cuft = .0000 Fraction of, undissolved TSP at 20 min, t = .0000 .
---------------------------------------------------- PALISADES NUCLEAR PLAN EA-FC-949-01 Rev 3 Sheet E52
~ ;-
PALISADES NUCLEAR PLANT DISSOLUTION TIME (new - 52 lb/ft3) EA-FC-949-01 Rev 3 1200 0.5 2.0 1.98221 52 1 10 Sheet E53 1.188 22.547 7461.767 2938. 316 1 34 6 1 1 1
' 197.4 228886
. 30 206.9 283521 207.3 297238
. 20 205.1 317788 30 185.0 395404 40 173. 0 472011 - 50 165.0 542368 60 160.7 595462 70 160. b . 617686 80 161.5 632068 90 162.2 646177 100 162.9 .660153 150 167. 4 731580 . 200 172. 8 811279.
250 177.2 892783 300 173.1 981034 350. 168.6 1071460 400 164. 5 1160690 450 160.6 1248880 500 157.0 1336150 550 153.7 1422640 600 150.6 1508550 650 147.7 1593910
*700 145.1 1678760 750 142.5 1763160 800 140.2 1847190 850 138.0 1930910 900 135.9 2014360 950 133.9 2097560 1000 132.1 2180560 1050 130.3. 2263370 . '
1100 128.6 2345990 "* *=~ " 1150 127.0 2428430 1200 125.5 2510770 30 0.009216667 0 0.0283333333 0 0.0565 . 70 0.068333333 180 0.0895 190 *0.1065
PALISADES NUCLEAR PU. DISSOLUTION TIME (new - 52 lb/ft3) EA-FC-949-01 -Rev 3 Sld~-i~~gth-~f-TSP-b~;k~t~-ft-------------:------~2~ooooSheet E54 Height or TSP, ft = 1.9822
- TSP bulk density lb/cuft = 52. 0000
- Spacing between basket and sump floor, ft =
- 5000 T"ime seep used in computations, sec = 1.0000
- Constant A (flood level equation) 1.188000 Constant B (flood level equation) = 22. 547000 Constant C (flood level equation) = 7461.767000 Constant D (flood level equation) = 2938.316000 Time, Mass of Volume of Level of T SDR Mass of sec water,lb water,ft3 water,ft -d~F lb/sec'/ft2* TSP,lb 10.0 .2835E+06 .4573E+04 . 2189E+OO .2069E+03 .1065E+OO . .4122997E+03 20.0 .3178E+06 .5126E+04 .2929E+OO .2051E+03 .1065E+OO .4122997E+03
- 30. 0 .3954E+06. . 6377E+04 .4602E+OO .1850E+03 .9800E-01 .4122997E+03 40.0 .4720E+06 .7613E+04 . 6253E+OO .1730E+03 . 7468E-Ol .4092810E+03 50.0 .5424E+06 .8748E+04 .7767E+OO .1650E+03 . 6242E-Ol .4054905E+03 60.0 .5955E+06 .9604E+04 . 8908E+OO* .1607E+03 .5733E-01 .4014906E+03 70.0 .6177E+06 .9963E+04 .9386E+OO .1606E+03 .5721E-Ol . 3972894E+03 "
80.0 .6321E+06 .1019E+05 .9695E+OO .1615E+03 .5827E-Ol . 3928709E+03 90.0 .6462E+06 .1042E+05 .9998E+OO .1622E+03 .5910E-01 .3882374E+03 100.0 .6602E+06 .1065E+05 .1030E+Ol .1629E+03 . 5993E-Ol .3833949E+03 110~0 .6744E+06 .1088E+05 .1060E+Ol .1638E+03 . 6100E-Ol .3783274E+03 120.0 .6887E+06 .1111E+05 .1091E+Ol .1647E+03 . 6206E-Ol .3730197E+03 130.0 .7030E+06 .1134E+05 .1122E+Ol .1656E+03 . 6313E-Ol . 3674665E+03 140.0 .7173E+06 .1157ET05 .1152E+Ol .1665E+03 . 6419E-01 . 3616627E+03 150.0 .7316E+06 .1180E+05 .1183E+Ol .*1674E+03 . 6526E*Ol . 3556031E+03 160.0 .7475E+06 .1206E+05 .1217E+Ol .1685E+03 . 6653E-Ol .3492608E+03 170. 0 .7635E+06 .1231E+05 .1251E+Ol .1696E+03 . 6781E-Ol . 3426119E+03 180.0 . 7794E+06 .1257E+.05 .1286E+Ol .1706E+03 . 6969E-01 .3356280E+03 190.0 .7953E+06 .1283E+05 .1320E+Ol .1717E+03 . 7197E-Ol .3282243E+03 200.0 .8113E+06 .1309E+05 .1354E+Ol . l 728E+03 . 7426E-Ol .3203820E+03 210.0 .8276E+06 .1335E+05 .1389E+Ol .1737E+03 . 7612E-01 .3121117E+03 220.0 .8439E+06 .1361E+05 .1424E+Ol .1746E+03 . 7799E-Ol .3034213E+03 230.0 .8602E+06 .1387E+05 .1459E+Ol . l 754E+03 . 7985E-01 .2943005E+03 240.0 .8765E+06 .1414E+05 .1494E+Ol .1763E+03 . 8171E-Ol .2847390E+o3* 250.0 .8928E+06 .1440E+05 .1528E+Ol .1772E+03 *. 8357E-01 .2747263E+03 _- 260.0 .9104E+06 .1468E+05 .1566E+Ol. .1764E+03 . 8184E-Ol' .2644877E+03 270.0 .9281E+06 .1497E+05 .1604E+Ol . . l 756E+03 . BOlOE-01 .2542198E+03 280.0 .9457E+06 .1525E+05 .1642E+Ol .1747E+03 . 7837E-Ol ~2439334E+03 290. 0 .9634E+06 .1554E+05 .1679E+Ol .1739E+03 . 7663E-Ol .2319107E+03 300.0 .9810E+06 .1582E+05 . l 717E+Ol .1731E+03
- 7489E-Ol .2192730E+03 310.0 .9991E+06 .1611E+05 .1756E+Ol .1722E+03 . 7299E-01 .2072912E+03 320.0 .1017E+07 .1641E+05 . l 794E+Ol .1713E+03 . 7108E-Ol . .1959421E+03 330.0 .1035E+07 .1670E+05 .1833E+Ol .1704E+03 . 6918E-Ol .1851919E+03 340.0 .1053E+07 .1699E+05 .1872E+Ol .1695E+03 . 6774E-01 .1749863E+03 350.0 .1071E+07 .1728E+05 .1910E+Ol . . 1686E+03 .. 6668E-Ol .1652083E+03 -
360.0 .1089E+07 .1757E+05 .1948E+Ol .1678E+03 . 6571E-Ol .1558219E+03 370.0 .1107E+07 .1786E+05 .1986E+Ol . . 1670E+03 - . 6474E-01 .1468044E+03 380.0 .1125E+07 .1815E+05 * .2024E+Ol .1661E+03 . 6377E-Ol .1381399E+03 390.0 .1143E+07 .1843E+05 .2062E+Ol .1653E+03
- 6280E-01 .1298133E+03 400.0 .1161E+07 .1872E+05 .2100E+Ol .1645E+03 * . 6182E-Ol .1218104E+03 410.0 .1178E+07 .1901E+05 .2138E+Ol .1637E+03 . 6090E-01 .1141143E+03 .
420.0 .1196E+07 .1929E+05 .2175E+Ol .1629E+03 . 5998E-01 .1067097E+03 430.0 .1214E+07 .1957E+05 .2213E+Ol .1622E+03 .5906E-01 .9958484E+02 440.0 .1231E+07 . -~ 1986E+05 .2250E+Ol .1614E+03 .5813E-Ol . 9272823E+02
- 450.0 .1249E+or* . . 2014E+05 .2288E+o1* .1606E+03 .5721E-01 .8612910E+02 460.0 .1266E+07 . . 2042E+05 .2325E+Ol .1599E+03 .5616E-01 ~ 7977585E+02 470.0 .1284E+07 - . 2071E+05 .2362E+Ol .1592E+03 .5413E-01 . 7374085E+02 480.0 .1301E+07- .2099E+05 .2399E+Ol .1584E+03 .5211E-Ol .6804809E+02 490.0 .1319E+07 .2127E+05 .2436E+Ol .1577E+03 .5008E-01 . 6268183E+02 500.0 .1336E+07 .. 2155E+05 .2473E+Ol .1570E+03 *. 4805E-Ol . 5762739E+o2*
510.0 .1353E+07 .2183E+05 .2510E+Ol .1563E+03 . 4619E-01 .5286177E+02 520.0 .1371E+07 .2211E+05 .2547E+Ol .1557E+03 .4433E-Ol .4836520E+02 530. 0 .1388E+07 .2239E+05 .2584E+Ol .1550E+03 .4247E-01 .4412666E+02 540.0 .1405E+07 .2267E+05 .2620E+Ol .1544E+03 . 4061E-Ol .4013584E+02 550.0 .1423E+07 .2295E+05 .2657E+Ol .1537E+03 . 3875E-Ol * .3638314E+02 560.0 ~1440E+07 .2322E+05 .2693E+Ol .1531E+03 . 3701E-Ol .3285384E+02 570.0 .1457E+07 .2350E+05 . 2730E+Ol .1525E+03 .3526E-Ol .2953524E+02 580.0 .1474E+07 .2378E+05 .2766E+Ol .1518E+03 .3352E-01 .2641997E+02 590.0 .1491E+07 .2405E+05 .2803E+Ol .1512E+03 . 3177E-Ol .2350120E+o2* 600.0 .1509E+07 .2433E+05 .2839E+Ol .1506E+03 . 3002E-01 .2077256E+02 610.0 .1526E+07 .2461E+05 .2875E+Ol .1500E+03 .2839E-Ol .1822277E+02 620.0 .1543E+07 .2488E+05 .2911E+Ol .1494E+03 . 2780E-Ol .1579420E+02
- 630. 0 .1560E+07 .2516E+05 .2947E+Ol .1489E+03 .2724E-Ol .1343896E+02 640.0 .1577E+07 .2543E+05 .2984E+Ol .1483E+03 .2669E-Ol .1115529E+02 650.0 .1594E+07 .2571E+05 .3020E+Ol .1477E+03 .2613E-01 . 8941461E+Ol
- I 660.0 .1611E+07 .2598E+05 .3055E+Ol .1472E+03 .2564E-01 .6793231E+Ol 670.0 .1628E+07 ~2626E+05 .3091E+Ol .1467E+03 .2514E-01 . 4706973E+Ol 680. 0 .1645E+07 . 2653E+05 . 3127E+Ol .1461E+03 . 2464E-01 .2681289E+01 690. 0 .1662E+07 . 2680E+05 - . 3163E+Ol .1456E+03 . 2415E-01 . 7148294E+OO 694.0 .1669E+07 .2691E+05 .3177E+Ol .1454E+03 .2395E-01 .OOOOOOOE+OO Initial mass of TSP, lb = 412.2997 Undissolved TSP mass at 20 min, cuft = .0000 Fraction of undissolved TSP at 2_0 min, -%" = . 0000 - ,
____________ ., _____________ - - - - - - - - - - - - - - - - - - - - - - - - - - PALISADES NUCLEAR PLAJ
- EA-FC-949-01 Rev 3 Sheet E55-I -
I _., . . *----;::: -*~~-;..~
PALISADES NUCLEAR PLANT DISSOLUTTON TIME (new - 53 lb/ft3) EA-FC-949-01 Rev 3 1200 0.5 2.0 1.94481 53 1 10 1.188 22.547 7461.767 2938.316 Sheet
- E5 6
.1 34 6 1 1 197.4 228886 0 206.9 283521 3 207.3 297238 20 205.1 317788 30 185.0 395404 40 173.0 472011 50 165.0 542368 60 160.7 595462 70 160.6 617686 80 161 .. 5 . 632068 90 162.2 646177 100 162. 9 660153 150 167. 4 731580 200 172. 8 811279 250 177. 2 892783 300 173 .1 981034 350 168.6 1071460 400 164.5 1160690 450 160.6 1248880 500 157.0 1336150 550 153.7 1422640 600 150.6 1508550 650 147.7 1593910 700 145.1 1678760 750 142.5 1763160 800 140.2 1847190 850 138.0 1930910 900 135.9 2014360 950 133.9 2097560 1000 132.1. 2180560 1050 130.3 2263370 *'\ 1100 128.6 2345990 1150 127.0 2428430 .1:- 1200 125.5 2510770 30 0.009216667 0 0.0283333333 0 0.0565 70 0.068333333 180 .0.0895 190 0.1065
PALISADES NUCLEAR PLAJ DISSOLUTION TIME (new - 53 lb/ft3) EA-FC-949-01 Rev 3
----------~-------------------~~--------------------- Sheet E57 Side length of TSP basket, ft = 2.0000*
Height or TSP, ft . = 1.9448 TSP bulk density lb/cuft = 53.0000 Spacing between basket and sump *floor, ft = .5000 T"ime seep used in computations, sec = 1.0000 Constant A (flood level equation) = 1.188000
*Constant B (flood level equation) = 22.547000 Constant C (flood level equation) = 7461.767000 Constant D (flood level equation) 2938. 316000 Time, Mass of Volume of Level of Temp'- SDR, Mass of sec water,lb water,ft3 water,ft deg~- lb/sec/ft2 TSP,lb 10.0 .2835E+06 .4573E+04 .2189E+OO .2069E+03 .1065E+OO .4122997E+03 20.0 .3178E+06 .5126E+04 .2929E+OO .2051E+-03 .1065E+OO .4122997E+03 30.0 .3954E+06 .6377E+04 .4602E+OO .1850E+03 .9800E-01 .4122997E+03 40.0 .4720E+06 .7613E+04 .6253E+OO .1730E+03 . 7468E-01 .4092810E+03 50.0 .5424E+06 .8748E+04 .7767E+OO .1650E+03 . 6242E-01 .4054906E+03 60.0 .5955E+06 .9604E+04 .8908E+OO .1607E+03 . 5733E-01 .4014906E+03 70.0 .6177E+06 .9963E+04 .9386E+OO .1606E+03 .5721E-01 . 39 72894E+03*
80.0 .6321E+06 .1019E+05 .. 9695E+OO .1615E+03 .5827E-01 . 3928710E+03
- 90.0 .6462E+06 .1042E+05 .9998E+OO .1622E+03 .5910E-01 .3882375E+03 100.0 .6602E+06 .1065E+05 .1030E+Ol .1629E+03 . 5993E-01 .3833950E+03 110.0 .6744E+06 .1088E+05 .1060E+Ol .1638E+03 . 6100E-01 .3783275E+03 120.0 .68.87E+06 .1111E+05 .1091E+Ol .1647E+03 . 6206E-01 . 3730197E+03 130.0 .7030E+06 .1134E+05 .1122E+Ol .1656E+03 . 6313E-01 .3674666E+03 140.0 .7173E+06 .1157E+05 .1152E+Ol .1665E+03 . 6419E-01 .3616628E+03 150.0 .7316E+06 .1180E+05 .1183E+Ol .1674E+03 . 6526E-01 .3556031E+03 160.0 .7475E+06 .1206E+05 .1217E+Ol .1685E+03 . 6653E-01 .3492609E+03 170.0 .7635E+06 .1231E+05 .1251E+Ol .1696E+03 . 6781E-01 .3426119E+03 180.0 .7794E+06 .1257E+05 .1286E+Ol . . 1706E+03 . 6969E-01 .3356280E+03 190.0 .7953E+06 .1283E+05 * .1320E+Ol .1717E+03 . 7197E-01 .3282243E+03
-200. 0 .8113E+06 .1309E+05 .1354E+Ol .1728E+03 . 7426E-01 .3203820E+03 210.0 ~8276E+06 .1335E+05 .1389E+Ol .1737E+03 . 7612E-01 .3121117E+03 220.0 .8439E+06 .1361E+05 .1424E+Ol .1746E+03 . 7799E-01 .3034214E+03 1230. 0 .8602E+06 .1387E+05 .1459E+Ol .1754E+03 . 7985E-01 .2943006E+03 240.0 .8765E+06 .1414E+05 .1494E+Ol .1763E+03 . 8171E-01 .2847390E+03 250.0 .8928E+06 .1440E+05 .1528E+Ol .1772E+03 . 8357E-01 .2747264E+03
'260.0 .9104E+06 .1468E+05 .1566E+Ol .1764E+03 . 8184E-01 .2644877E+03
- 270.0 .9281E+06 .1497E+05 .1604E+Ol .1756E+03 . BOlOE-01 .2542199E+03
*280.0 .9457E+06 .1525E+05 .1642E+Ol .1747E+03 . 7837E-01 .2439334E+03 290. 0 .9634E+06 . . 1554E+05 .1679E+Ol .1739E+03 . 7663E-01 . 2310962E+03 300.0 .9810E+06 .1582E+05 .1717E+Ol .1731E+03 . 7489E-01 .2186041E+03 .
310.0 .9991E+06 .1611E+05 .1756E+Ol .1722E+03 . 7299E-01 .2067539E+03 320.0 .1017E+07 .1641E+05 .1794E+Ol .1713E+03 . 7108E-01 .1955234E+03 330.0 .1035E+07 .1670E+05 .1833E+Ol ~ 1704E+03 . 6918E-01 .1848801E+03 340.0 .1053E+07 .1699E+05 .1872E+Ol .1695E+03 . 6774E-01 .174 7709E+03 350.0 .1071E+07 .1728E+05 .1910E+Ol .1686E+03 . 6668E-01 .1650805E+03 360.0 .1089E+07 .1757E+05 .1948E+Ol .1678E+03* . 6571E-01 .1557737E+03 370.0 .1107E+07 .1786E+05 .1986E+Ol * .1670E+03 . 6474E-01 .1468283E+03 380.0 .1125E+07 .1815E+05 .2024E+Ol .1661E+03 . 6377E-01 .1382290E+03 390.0 .1143E+07 .1843E+05 .2062E+Ol .1653E+03 . 6280E-01 .1299613E+03 400.0 . 1161E+07 .1872E+05 .2100E+Ol .1645E+03 . 6182E-01 . .1220114E+03 410.0 .1178E+07 .1901E+05 .2138E+Ol .1637E+03 . 6090E-01 .1143628E+03 420.0 .1196E+07 .1929E+05 .2175E+Ol .1629E+03 * .5998E-01 .1070007E+03 430.0 .1214E+07 .1957E+05 .2213E+Ol .1622E+03 .5906E-01 .9991356E+02 440.0 .1231E+07 .1986E+05 . .2250E+Ol .1614E+03 . 5813E:-Ol .9309035E+02 . 450.0 .1249E+07 * .--. 2014E+05 .2288E+Ol .1606E+03 . 5721E-01 . 8652.057E+02 . 460.0 .1266E+07 . ~ 2042E+05 .2325E+Ol .1599E+03 . 5616E-01 . 8019297E+02 . 470.0 .1284E+07~ .2071E+05 .2362E+Ol .1592E+03 . 5413E-01 .7417987E+02* 480.0 .1301E+OT . 2099E+05 .2399E+Ol .1584E+03 .5211E-01 .6850553E+02
. 490. 0 .1319E+07 * .2127E+05 .2436E+.Ol .1577E+03 . 5008E-01 . 6315462E+02 500.0 .1336E+07 .2155E+05 . 2473E+Ol .1570E+03 . 4805E-01 .5811280E+02 510.0 .1353E+07 .2183E+05 .2510E+Ol .1563E+03 . 4619E-01 .5335741E+02 520.0 .1371E+07 .2211E+05 .2547E+Ol .. .1557E+03 . 4433E-01 .4886899E+02 530. 0 .1388E+07 .2239E+05 .2584E+Ol .1550E+03 . 4247E-01 .4463677E+02 540.0 .1405E+07 .2267E+05 .2620E+Ol .1544E+03* . 4061E-01 .4065067E+02 550.0 .1423E+07 .2295E+05 .2657E+Ol .1537E+03 .3875E-01 .3690129E+02 560.0 .1440E+07 .2322E+05 .2693E+Ol .1531E+03 .3701E-01 .3337414E+02 570.0 .1457E+07 .2350E+05 .2730E+Ol * .1525E+03 . 3526E-01 .3005665E+02 580.0 .1474E+07 .2378E+05 .2766E+Ol .1518E+03 . 3352E-01 .2694163E+02 . 590. 0 .1491E+07 . . 2405E+05 .. 2803E+Ol .1512E+03 . 3177E-01 .2402238E+02 600.0 .1509E+07 .. 2433E+05 .2839E+Ol .1506E+03 * .3002E-01 .2129267E+02 610. 0 .1526E+07 .2461E+05 .2875E+Ol *.1500E+03 .2839E-01 .1874131E+02 620.0 .1543E+07 .2488E+05 .2911E+Ol .1494E+03 .2780E-01 .1631075E+02
- 630. 0 .1560E+07 .2516E+05 .2947E+Ol .1489E+03 . 2724E-01 .1395311E+02 640.0 .1577E+07 .2543E+05 .2984E+Ol .1483E+03 .2669E-01 .1166664E+02
.650.0 .1594E+07 .2571E+05 . 3020E+Ol * .1477E+03 . 2613E-01 .9449686E+Ol
660.0 .1611E+07 .2598E+05 .3055E+Ol .1472E+03 .2564E-01 . 7298008E+Ol 670~0 .1628E+07 .2626E+05 .3091E+Ol .1467E+03 .2514E-01 .5208012E+Ol 680.0 .1645E+07 .2653E+05 .3127E+Ol .1461E+03 .2464E-01 .3178327E+Ol 690.0 .1662E+07 .2680E+05 .3163E+Ol .1456E+03 .2415E-01 .1207631E+Ol 697.0 .1674E+07 .2699E+05 .3188E+Ol .1453E+03 .2380E-01 .OOOOOOOE+OO "ni tial mass of TSP, lb = 412. 2997
~dissolved TSP mass at 20 min, cuft = .0000 Fraction of undissolved TSP at 20 min, % = .0000 . -----------------------------------------~---------- PALISADES NUCLEAR PLAN EA-FC-949-01 Rev 3 Sheet ESB
DISSOLUTION TIME (new - 54 lb/ft3) PALISADES NUCLEAR PLANT 1200 0.5 2.0 1.90880* 54 1.188 22.547 7461.767
~
938 316 _ 10 EA-FC-949-01 Rev 3. Sheet E59 10 14 19 7. 4 f 228886 206. 9 283521 13 207.3 297238 - 20 205.1 317788 30 185.0 395404* 40 173. 0 472011 50 165.0 542368 60 160.7 595462 70 160.6 617686 80 161.5 632068 90 162.2 646177 100 162.9 660153 150 167.4 731580 200 172.8 811279 250 177.2 892783 300 173.1 981034 350 168~6 . 1071460 400 164.5 1160690 450 160.6 1248880 500 157.0 1336150 550 153.7 1422640 600 150.6 1508550 650 147.7 1593910 700 145.1 1678760 750 142.5 1763160 800 140.2 1847190 . 850 138.0 1930910 900 135.9 2014360 950 133.9 2097560 1000 132.1 2180560 1050 130.3 2263370 *.;\ 1100 128.6 2345990 1150 127.0 2428430 1200 125.5 2510770 0 0~009216667 0 0.0283333333 60 0.0565 170 0.068333333 180* 0.0895 190 . . 0.1065
DISSOLUTION TIME (new - 54 lb/ft3) PALISADES NUCLEAR PLA
----------------------------------------------------- EA-FC-949-01 Rev 3 Side length of TSP basket, ft = 2 0000 h t E60 Height or TSP, ft 1:9088 S ee
- TSP bulk density lb/cuft
- 54. 0000 SP.acing between .basket and ,sump floor,* ft ~5000 Time step used in computations, sec* = 1.0000 .*
- Constant A (flobd level equation) *
- 1.188000 Constant B (flood level equation) 22.547000 Constant C (flood level equation) = 7461.767000.
Constant D (flOod level equation) = 2938.316000 Time, Mass of Volume of Level of Temp"- SDR, Mass of sec water,lb water,ft3 water,ft deg ~* lb/sec/ft2 TSP,lb. 10.0 .2835E+06 .4573E+04 .2189E+OO .2069E+03 .1065E+OO
.4123008E+03 20.0* .3178E+06 .5126E+04 .2929E+OO .2051E+03 .1065E+OO .4123008E+03 30.0 .3954E+06 .6377E+04 .4602E+OO .1850E+03 .9800E-01 .4123008E+03 40.0 .4720E+06 .7613E+04 .6253E+OO .1730E+03 .7468E-01 .4092821E+03 50.0 .5424E+06 .8748E+04 .7767E+OO .1650E+03 .6242E-01 .4054917E+03 60.0 .5955E+06 .9604E+04 .8908E+OO .1607E+03 .5733E-01 .4014917E+03 70.0 .6177E+06 .9963E+04 .9386E+OO .1606E+03 .5721E-01 .3972905E+03 80.0 .6321E+06 .1019E+05 .9695E+OO * .1615E+03 .5827E-01 . 3928721E+03 90.0 .6462E+06 .1042E+05 .9998E+OO .1622E+03 .5910E-01 .3882385E+03 100.0 .6602E+06 .1065E+05 .1030E+01 .1629E+03 .5993E-01 .3833961E+03 110.0 .6744E+06 .1088E+05 .1060E+Ol .1638E+03 .6100E-01 .3783286E+03 120.0 .6887E+06 .1111E+05 .1091E+Ol .1647E+03 .6206E-01 .3730208E+03 130.0 .7030E+06 .1134E+05 .1122E+01 .1656E+03 .6313E-01 .3674676E+03 140.0 .7173E+06 .1157E+05 .1152E+Ol .1665E+03 . . 6419E-01 . 3616638E+03 150.0 .7316E+06 .1180E+05 .1183E+Ol .1674E+03 .6526E-01 .3556042E+03 160.0 .7475E+06 .1206E+05 .1217E+01 .1685E+03 .6653E-01 .3492620E+03 170.0 .7635E+06 .1231E+05 .1251E+Ol .1696E+03 .6781E-01 .3426130E+03 lBO. 0 .7794E+06 .1257E+05 .1286E+Ol .1706E+03 .6969E-01 .3356291E+03 190.0 .7953E+06 .1283E+05 .1320E+Ol .1717E+03 .7197E-01 .3282254E+03 200.0 . 8113E+06 .1309E+05 .1354E+()l . .1728E+03 . 7426E-01 ..3203831E+03 210.0 .8276E+06 .1335E+05 .1389E+01 .1737E+03 .7612E-01 .3121128E+03 220.0 .8439E+06 .1361E+05 .1424E+Dl .1746E+03 .7799E-01 .3034224E+03 230. 0 .8602E+06 .1387E+05 .1459E+Ol .1754E+03 .7985E-01 .2943017E+03 240.0 .8765E+06 .1414E+05 .1494E+Ol .1763E+03 .8171E-01 .2847401E+03 250.0 .8928E+06 .1440E+05 .1528E+Ol .1772E+.03 . 8357E:.. 01 .2747275E+03 260.0 .9104E+06 .1468E+05 .1566E+Ol .1764E+03 .8184E-01 .2644888E+03 270.0 .9281E+06 .1497E+05 .1604E+Ol. .1756E+03 . 801 OE-01 .2542209E+03
- 280.0 .9457E+06 .1525E+05 .1642E+Ol .1747E+03 .7837E-01 .2436257E+03 290. 0 .9634E+06 .1554E+05 .1679E+Ol .1739E+03 .7663E-01 .2306165E+03 300.0 .9810E+06 .1582E+05 .1717E+Ol .1731E+03 .7489E-01 .2182554E+03 310.0 .9991E+06 .1611E+05 .1756E+Ol .1722E+03 . . 7299E-01 .2065233E+03 320.0 .1017E+07 .1641E+05 .1794E+01 .1713E+03 * . 7108E-01 .1953990E+03 330.0 .1035E+07 .1670E+05 .1833E+01 .1704E+03 .6918E-01 .1848512E+03 340.0 .1053E+07 .1699E+05 .1872E+01 .1695E+03 .6774E-01 .1748278E+03 350.0 .1071E+07 .1728E+05 .1910E+Ol .1686E+03 .6668E-01 .1652150E+03 360.0 .1089E+07 .1757E+05 .1948E+01 .1678E+03 .6571E-01 .1559785E+03 370. 0 .1107E+07 .1786E+05 .1986E+01 .1670E+03 .6474E-01 .1470966E+03 380. 0 . .1125E+07 .1815E+05 .2024E+Ol .1661E+03 .6377E-01 .1385544E+03 390. 0 .1143E+07 .1843E+05 .2062E+01 .1653E+03 .6280E-01 .1303380E+03 400.0 .1161E+07 .1872E+05 .2100E+01 .1645E+03 .6182E-01 .1224338E+03 410. 0 .1178E+07 .1901E+05 .2138E+Ol .1637E+03 .6090E-01 .1148260E+03 420.0 .1196E+07 .1929E+05 .2175E+01 .1629E+03 .5998E-01 .1075001E+03 430. 0 .1214E+07 .1957E+05 .2213E+01 .1622E+03 .5906E-01 .1004447E+03 440.0 . 1231E+07 .1986E+.05 .2250E+01 .1614E+03 .5813E-01 .9364934E+02 .
. 450. 0 .1249E+OT, .2014E+05 .2288E+01 .1606E+03 .5721E-01 .8710369E+02 460.0 . 1266E+07 * .2042E+05 .2325E+Ol .1599E+03 .5616E-01 . 8079679E+02 .
470.0 .1284E+07 * . 2071E+05 .2362E+Ol .1592E+03 .5413E-01 .7480102E+02 480.0 .1301E+0.7 . 2099E+05 .2399E+Ol .1584E+03 .5211E-01 .6914090E+02 490. 0 .1319E+07 .2127E+05 .2436E+01 .1577E+03 .5008E-01 .6380143E+02 500.0 .1336E+07 .2155E+05 .2473E+01 .1570E+03 .4805E-01 .5876863E+02 510.0 .1353E+07 .. 2183E+05 .2510E+01 .1563E+03 .4619E-01 .5402016E+02 520.0 .1371E+07 .2211E+05 .2547E+01 .1557E+03 .4433E-01 .4953682E+02 530. 0 .1388E+07 .2239E+05 .2584E+Ol .1550E+03 .4247E-01 .4530807E+02 540.0 .1405E+07 .2267E+05 .2620E+Ol .1544E+03 .4061E-01 .4l32405E+02 550.0 .1423E+07 .2295E+05 .2657E+01 .1537E+03 .3875E-01 .3757557E+02 560.0 .1440E+07 .2322E+05 .2693E+01 .1531E+03 .3701E-01 .3404831E+02 570.0 .1457E+07 .2350E+05 .2730E+01 .1525E+03 .3526E-01 .3072985E+02 580.0 .1474E+07 .2378E+05 .2766E+Ol .1518E+03 .3352E-01 .2761316E+02 590.0 .1491E+07 .2405E+05 .2803E+01 .1512E+03 .3177E-01 .2469166E+02 600.0 .1509E+07 .2433E+05 .2839E+01 .1506E+03 .3002E-01 .2195923E+02 610. 0 .1526E+07 *. 2461E+05 .2875E+01 .1500E+03 .2839E-01 .1940479E+02 620.0 .1543E+07 .2488E+05 .2911E+Ol .1494E+03 .2780E-01 .1697081E+02
- 630. 0 .1560E+07 .2516E+05 .2947E+01 .1489E+03. . 2724E-01 .1460939E+02 640. 0 .1577E+07 .2543E+05 .2984E+01 .1483E+03 .2669E-01 .1231883E+02 650.0 .1594E+07 .2571E+05 .3020E+01 .1.477E+03 . 2613E-01 .1009749E+02
~
660.0 . l6llE+07 .2598E+05 .3055E+Ol .1472E+03 . 2564E-Ol 670.0 .l628E+07 .2626E+05 .7941157E+Ol
.309lE+Ol .1467E+03 . 2514E-Ol .5846265E+Ol 680.0 . l645E+07 .2653E+05 .3l27E+Ol .1461E+03 . 2464E-Ol . 3811469E+Ol 690. 0 . l662E+07 .26BOE+05 . 3l63E+Ol .1456E+03 . 2415E-01 .1835470E+Ol 700.0 . l679E+07 . 2708E+05 . 3*l99E+Ol .1451E+03 .2365E-01 .OOOOOOOE+OO Initial mass of TSp ' lb 20 min . cuft -- 412.3008 0000
.0000 Undis~olved TS~.~~~~v~a
=
Fraction of ~-:_______________________ TSP at'20 min, : __ : ________ : PALISADES NUCLEAR PLA1 EA-FC-949-01 Rev 3
------------ Sheet E61 F1NAL- o~ APP£~b';( f
PALISADES NUCLEAR PLANT EA-FC-949-01 Rev 3 Sheet Fl APPENDIX F
.ATTACHMENTS I
I
PALISADES NUCLEAR PLANT EA-FC-949-01 Rev 3 Sheet F2 Monsanto The Chemical Group 800 N. Lindbergh Boulevard St. Louis. Missouri 63167 Phone: (314) 694-1000 June 14, 1994
- Mr. Andy Anderson Consumers Power Company 27780 Blue Star Memorial Highway Covert, Michigan 49043-9530
Dear Mr. Anderson,
Thank you for your interest in Monsanto Trisodium Phosphate Crystalline (TSP/C).
- The chemical referred to as Trisodium Phosphate Dodecahydrate, 4(Na3P04 *12H20)NaOH, is
- generally defined as having a moisture content range of 45.:51%. The calculated theoretical moisture contained in this compound would be -55%. Even though most material available within the industry fits the definition, Monsanto feels that the moisture levels of 47-53% routinely found for this product are more indicative of a Trisodium Phosphate Decahydrate, 4(Na3P04
- lOH20)NaOH, which would have a theoretical moisture level of -51 %. Monsanto's position is that, due to the lower moisture content found throughout the industry, the chemical formula should be shown as the decahydrate form. Our current Trisodium Phosphate Crystalline, TSP/C, specification lists the chemical formula as the decahydrate. Monsanto also prefers the nomenclature of Trisodium Phosphate Crystalline, which does not indicate a chemical hydration level but defines moisture content by specification only.
Enclosed is the Product Data Sheet for TSP/C, Technical Granular, Code No.: 7870-100. A sample has been requested to be sent to your attention at the address above. If we can be of further assistance, please let us know.
- Sincerely, Y~&~*
Donald W. Oberkramer Product Specification Coordinator Marketing Technical Service Industrial Products-6roup A Unit of Monsanto Company
PALISADES NUCLEAR PLANT Monsanto EA-FC-949-01 Rev 3 Sheet FJ Pertormance Products Product Data Sheet PRODUCT:
- Trisodium Phosphate Crystalline (TSP/C)
Granular GRADE: Technical CODE NO.: 7870-100 GENERAL DESCRIPTION: White,free-flowing, crystalline product FORMULA: Na3P04el0 H20elANaOH (approximate) MOLECULAR WEIGHT: 354.2 CAS NO.: 7601-54-9 DATE EFFECTIVE: February, 1994 CHARACTERISTICS SPECIFICATION LIMITS Assay, % Na3PO, (ignited basis) 92.0 Minimum 18.6 Minimum Alkalinity as Na20, % 18.0 ~ 21.S Total Moisture, % 47- 53 pH, 1% Solution 11.8 - 12.4 Sizing, USSS: Thru IO Mesh, % 100 Mini.mum Thru 100 Mesh, % 5 Ma,ximum NOTE: . Specification Limits are subject to change from timo to* time. Please contact us for current data sheet. Production Location: Trenton, Ml Packaging: . SO lb. multiwall bags, bulk. Labeling Requirements: ' Product label required by law. Shipping Classification: Bagged Shipments: Trisodium Phosphate; Bulk Shipments: Sodium Phosphate, Tribasic, ORM-E, NA9148, RQ Handling Precautions: DANGER! CAUSES EYE BURNS. CAUSES SKIN IRRITATION. Do ~ot get in ey_~ *. oa skin, or clothing. Avoid breathing dust. Keep container closed*.. Use with adequate ventilation. Wash thoroughly after handling. FIRST AID: IF IN EYES, immediately flush with plenty of water for at least IS ~utes. Call a physician. IF ON SKIN, immediately flush with plenty of water. Remove contaminated clothing. Wash clothing before reuse. This Product Data* Sheet is subject to the terms and conditions on the reverse side hereof.
PALISADES NUCLEAR PLANT EA-FC-949-01 Rev 3 Sheet F4 TRISODIUM PHOSPHATE CRYSTALLINE (TSP/C), TECHNICAL GRADE GRANULAR
.Trisodium Phosphate Crystalline (TSP/C) and Trisodium Phosphate Anhydrous (TSP/ A) are .
generally interchangeable in their applications if allowance is made for the differences in c~ntained. water. In. addition, TSP/C contains 1A mole .of NaOH p~r mole of .TSP, giving it a
- shghtly higher solut10n pH. Monsanto TSP/C conforms to the mmsture requirements for Sodium: Phosphate, Tri basic Dodecahydrate as defined in the Food Chemicals Codex.
Key Properties:
- Strongly Alkaline Salt
- Buffer Capacity
- Grease Emulsifier
- Precipitating Agent Applications:
*. Hard Surface Cleaning - A wide variety of moderately to heavily soiled surfaces are cleaned with TSP-based formulations. Generally the high solution pH and superior grease and oil emulsifying propertie5 are important. Examples of hard surface cleaning applications are:
- Concrete and Garage Floors
- Auto Metal Parts Prepaint Cleaners Household Products Heavy-duty & General Purpose Institutional Cleaners Scouring Cleansers
- Water Conditioning - TSP is an excellent water Softening agent due.to its ability to precipitate both ,.
C&lcium and magnesium ions. In some industrial applications softening the water at high pH levels g a distinct advintage.
- Textile Applications"." TSP can be used in scouring and bleachi~g baths to provide high pH and . *'*'
alkalinity as well as removing potential stain producing cations, such u iron, by precipitation. It cm also provide pH and buffer capacity to maintain alkaline dye baths in the proper pH range for muimum effectiveness thereby prolonging the life of the bath.
*
- Paint Removers - The albline naiure of TSP is ut~liz.ed in formulating paint remover/stripper products.
The high atblinity aids in softening and loosening old paint, facilitating its removal. .* FOR MORE COMPLETE INFORMATION ON PROPERTIES AND SAFE HANDLING OF THIS
.MATERIAL, SEE THE MONSANTO MATERIAL SAFETY DATA SHEET (MSDS).
NOTICE: Although the information and recommendations set forth herein (hereinafter *tnformation*) aie presented in good faith and believed to be comet as of the date hereof, Monsanto Company makes no representations or warranties as to the completeness or accuracy thereof. Information is supplied upon the condition that the persons receiving same will make their own deteriniaatioa u to its suitability for their purposes prior to use. In no event will Monsanto Company be responsible for damages of any nature whatsoever resulting from the use of or reliance upon Information or the product to which Information refen. Nothing contained herein is to be construed as a ieconunendation to use any product, process, equipment or formulation in cont1ict With any patent, and Monsanto Company makes no representation or warranty, express or implied, that the use thereof will not infringe any patent. The data set forth herein are bued on samples
- tested and are not guaranteed- for all Samples or applications. Such data are intended as guides and do not reflect product specifications for any particular product. NO REPRESENTATIONS OR WARRANTIES, EITHER EXPRESS OR IMPLIED, OR MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE OR OF ANY OTIIER NATURE ARE MADE HEREUNDER WITH RESPECT TO INFORMATION OR Tim PRODUCT TO WHICH INFORMATION REFERS. .
INDUSTRIAL PRODUCTS GROUP THE CHEMICAL GROUP
- a Unit of MONSANTO COMPANY o Febrtwy, 1994.
- Sales Offices:
Atlanta, GA Chicago, IL Detroit, MI Houston, TX
. 404-951-7600 708-25()-44()() 313-377-6200 713-850-0088
- Los Angeles, CA 114-855-1160 Westfield. NJ 908-654-9500 800 N. Lindbergh Bliif.
St.Louis, MO, 63167 314-694-1000 . For order assistance, please call our Customer Service Department Toll Free: 1-800-325-4330
Kl..\ L> I * .::>r.K(.Jl:..\ I & LL.\iJ"l ;J ll-'5 7 ; 11 - ;J- 84 ; 1 : U4A.\I ol6 764 8606-.. SARGE:\T & LL:l\JoY; # 3 r-uv ~ *~4 ~~=1~ rk'l.IM S-L ~HLiSHLJ~S JU S-L ~lSJ r~L..l.i~ ~HLlc.l::ru.$ NOV 2 '94 17:~0 FROM ADMIN DEPT PAGE.002 PALISADES NUCLEAR PLANT EA-FC-949-01 Rev 3 To DRRobin.sou. Pali*&cles (Sargent & l.t.rady) Sheet FS F2:om BZBlakely, T-25~, Jackson CONstnms POWm Date Octaber 19, 1994 CCllP.ANY Subject 30R.1C ACID - I'i.ISODilJM PHOSPHATE (TSf) Jnt:enial COm'AINMENT SUMP pH CONTROL Coxreapondence cc Document Control, P*l0-090 P'1le Index: .539417-500-577 DCC: 950/26*.01 INTRQDtTCTION Tesc* were raquaaccd by D~ iobl.nson, Sar&ene &. Lundy Engineers at Palisades Plant 011 October 6, 1994 co d*~*rm1nt the density of Trisodium Phosphate (TSP}, the dissolution rates far TSP in boric ~cid soluciona and the pH ~*l'Wi\a of bo~ia ao1d solutions after the &dd!tion of specified amounts of TSP. TISI W>C!mtJU
'Ih* tests &re similar to the previous c~sts reported in Internal Co~r*spandeuce from DJ Snadekar to DR. Robinson, dat*d Kay 27, 1993 (1ll*
Index: 539317-500-177, DCC: 950/26*01). The ~*e ~racedul:* vas CH!M-119, K*v 0, *T~~odium Phosphate Surface D1ssol~t1Gn i&C. aDd pH Cont1:0l Tasc." It 'WH abo 1cat9d we theH t:~sts should be perlormad usi~ com.rc.1&1 grade TSP, 4(Na,J:'O.*l0 RaO)NaOII, and the cbe11i.;al eompodt1on should be identified ou the resul~ re?ort. BIOJJISTEl> TUTS CllTiRIA Th* following test:; "Waro conducted in accordance with l'rocedure CH!K-119, bv O with eha. follcnrin; changes as reques'Celd in ch* memo from Dean R.obinaon (see At:tachmenc A.)
- L Density Teat - GJIEM-119. RIV 0 !or TSP caked.
- 2. Db11oluLLon IHt: - CBBK*ll9, bv 0 f'or tllo follow1aa t:mmpera.tures md boron c:oncentraeiona:
- a. l50*r and. 2.833 ppm B
- b. uo*r*amS 2,833 PPD a
- c. 1so*r and 1,478 ppm s
- d. 130*F and 1,478 ppm I
- 3. pH Test
- Qlf.M-119, a.tv 0 for the following qu.ant1"C1ee and conA;*D.ttations:
- a. 2.38S g TSP in l L of 2,833 ppll I
- b. 4.727 g TSP 1n 1Lof1,478 P1>111 5
- o. l.631 i TSP in l L o~ 2,4~3 ppm B 1094-078-CHEM4-RLS
1 u L.t u 4
- L J. - u - .:rt- . ' . U""t"/\)i *
- - ......... .___.. ....... - ' - * *£.J u l 0 I b'i- t:lbUb-. Sr\.K(il..::.\f & LLl\DY; # 4 NUV ~ *~4 ~~:1~ r~UM ~-L ~HLl~HLJ~~ IU ~-L ~l~I ~L~ 1-'Hb~.~~4 NOV 2 '94 171~a FROM ADMIN DEPT PAGE.003 PALISADES NUCLEAR PLANT EA-FC-949-01 Rev 3 Sheet F6 2
TSP Disaoluti~ Rate Pa1i.aadaa Nuclear Pl&nt Fila Indax: 539417-500-577
- l. Density - Cakad. T~P from che raagenr:
- chmaical conta:f ner measured :SO. l, 48.6 and 51.0 lb/ft' (avg 49.9 lb/ft') on blocks cue from ~e large cake.
Bloeb were 2. 8 cm cube a or larger. sm&lle1:' cubes of 1. ~ cm prodw:ed dilnsi~y value* of 4S.2 lb/f~J to 49.0 lb/euft (may be due to surface imperfectioll&). *
- 2. Solution dissolution ra~es are as tollow1:
- a. 1.50*F and. 2,833 ppm&, Stlll
- 1.70 lb/ft:a/111in
- b. 13o*r olllld 2,833 ppm B, SDB.. - 0.553 l~/fta/min
- e. l50°F and l,478 ppm B, SDR = 1.5~ lb/ft 2/min
- b. lJO*ll" and 1,478 'P'Pll B. SDI. ... 0. 538 lb/fl2/Jlin
- 3. 'PH value* obca.1:necl are a. follows:
- a. 2.38S g TSP added toll. of 2.833 ppm 6, pH 7.00
- b. 4.727 g TSP add.d co 1 L of 1,478 ppm B, pM 8.00
- c. 3.631 I TSP added to 1 L of i,4!3 ppm~. pH 7.35 plt meuured at 2s*c, n*F.
'l'be teats wsed aodium phosphate trl.baaio, N~l'0 4
- l2 H10, Mall1nekrode Al\al.ytical ll.eagent, Lot 4XJ,Cr, C*- 79110 l094-078*CHEM4*BIS
NUV ~ *~4 *~~:1~ r-t.1UM S-L I-'~ L:i~JJI::~ . . ._,.L'-' ......rr uuvo- ..::>/'\.Kuc."' & LLL"'o~*:,,. 5 IU S-L .:H~ I t-Lu.J.< 1-'HW;, I::)~::, NOV 2 'S4 17:50 FROM ADM(N DEPT PAGE.01214 J TSP D!$5ol~tion Rate Palisades*Nucl*ar Pl~t
~*ue Ind*x; 5 3 9417. 500 * .s 77 PALISADES NUCLEAR PLANT EA-FC-949-01 Rev 3 Sheet F7 QA CER.TIFl!D EQUIPMEN? 'IJSF.D
- l. Analytical hbnce 3744-Q0/*76 Due 06-15*95
- 2. 'lhe:mome ter 3744-0000l* Du. 09*20-95
- 3. Stopwatch (Timer) 3744-00305 Due Ol-07-9!>
- a. Di,it&l Calipars 3743-01069 Due 11-08*9'*
AQ I.EA.GENTS usm
- 1. Boric Acid, Cnnular, H,BO,. Lot: _132708, PO No N03~9001AQ, Baker Anal)12cd Re&gont
- 2. Sodium l'hosphat* Ir1'basie, N.aiP04
- 12 H30, Lot 7940 KLGT, PO No Nl38200J~Q.
Mall1nc~odt Analytical Reagent *
- 3. Buffer Solution, pH 4.00, Fisher SBlOl, 1..ot 941403-24, PO No Nl019002AQ, Opened 10-16-94
- 4. 3uffer Solution, pH 7.00, Fisher SB107, Lot 93Z49S*24, PO No N1019001AQ, Opezi.*d 10-16-94
- 5. Buffer Sol~cion, pH 10.00. Fisher SBll5, t.ot 936686-24, PO No Nl0l9002AQ, Opened 05*23*94
'Dace L c::I I 9 1" Y
I *VO.r\>i u J. u ' '...rr ouuu-.. NUV j * ':;j4 (j':;j: l~ . rl-<UM o-L t-'Hl.1oHLll:.o . 1u o-L jlol rLLl..k
~*t.l\.UL.'o i -.-..:. ~ ..... ~w l 1-'Hl..::il:.. l::ll4 NOV Z 'S4 1?:~3 FROM ADMlN DEPT PAGE.013 PALISADES NUCLEAR PLANT
- To From Date DU.ob!.nson, Palilsades (Sargent &
GI.Itel Ce¥"boni/!Z!lably, T-254, Ja.ckson November 2, 1994 Lundy)~ k?p,_ EA-FC-949-01 Rev 3 Sheet F8 CONSUMERS POWIR COMPANY
Subject:
~RIC ACID
- TRISODI'CM PHOSPHA'II ('ISP) Int*~l OONTAINMmT S1JMP pH CONnOL Correspondence cc DoC11U11C Conti:al, P*l0-090
- Fib Iudex: 539417-500-577 DCC: 9,0/26'111()1 Im.OJ>UCTIOR Addit:icma.l tests were requested by Deus Robin1ou, Sargent '8 Lundy Engineers at Palisades Plant on OCtober 27 to detenain& t:he dissolution rates for Trisodium l'hosphata (tsP) in bade acid solu-cion at various temp*i:&tw:*** Tho pH
~**ei~& v.- complete and ~eported October 31. 1994 and a1so included in cilia r11port.
The te*cs were conducted in accord&t)CI with P'l"ocedare Cli!M-119, Rev 0 wi~ the following changes al ~*quested in the memo from o.e.n aobinaon (see At:tachmene A.). nsx PJOC1mURE : \
- th* t**ts ~a simila~ to the p¥evious tests re~o~t*d in Int*~l Correspondence from lJ i ~lakely to D i. aobinscm. elated OCcobar 19 I 1994 (Fi.le Inde~: 539417*500*577. DCC: 950/2'*01). the test procedure was CHBM-119, R.ev O, *-rruod!um Pbosphate Su.xfac* Df.asolutiora Rate &ad pH Con-crol Test."
Rmrpr,mm TESTS QllTER!A
'Ih* ~isodi'IJD pho*phate waa tecai~ed from An~y Anderson. Pali*ades, ou
- October 27 and. idecclfi*d as co111119:rc1&l grade dodecahydrate TSP :mamaf*c~ed by Momanto. T**u for pH we%* 111eaaured on the toll0lfin5 eolutions:
pH Test§ solutions
- a. 2.385 g !SF in 1 L of 2,833 ppm boron 7.00
- b. 4.727 'TSP !n l L of 1,47& ppm boron 8.00
- c. J.631 'TS~ in l L of Z,45~ ppm bo~on 1.~o StJJ..FACI DISSO'LUTlO' RATE tBST Dissolution TC*~s at tb.* followi'nl tempc~aCUJ:ea usin1 2,833 ppta B, boric acid solucion:
- a. . l90*F
'b. isa*r
- e. 170*P'
- d. l6C>9F I
f'IJV ~ ':i4 l::J':i* 1.:S 1-kU'l b-L t-'HLl~HLJl::S bit; 10-i- dbUb-.
.:>!\Kut:.,' I .S. Lt .. 'LJ l
- i i ! u IU S-L ~l~I 1-LL.U~ 1-HL:il::.. l:ll~
NOV Z 'S4 171~3 FROM ~DMIN DEPT PAGE.014
- TSP Di~solution Rate Palisades Nuclaar Plan~
Fil* I~: 539417~500-577 2 PALISADES NUCLEAR PLANT SURFACE DISSQUJIION BATE USULTS EA-FC.-949-01 Rev 3 Sheet F9 Solu.~ion d!asolueion race* az* as followas:
- a. 190°F and 2,833 ppm B, Slm
- 6.3i lb/f~/mln FiNAL o* APpef\J't>J>I f
- b. iao*r and 2,833 ppm 1. sDB.. !.37 lb/tt*;1111n
- c. 17o*r and 2,833 ppm B, SDR ... 4.10 lb/ftll/min cl. 160*F and 2,833 ppm B, SDR
- 3.39 lb/ft11/m1n (pravio~aly reported October 19, l~94) iso*F and 2,833 ppm R, SDR - 1.70 lb/ft~/miti 130*F and 2,833 ppm B. SDI* 0.553 lb/ft2/min Cu.:ve showing SDR. change with temperature hlc~eue in 2. 833 P'PDI bo:rie acid.
solution (see ActachlDcnl.c !). OA CERI!fUjQ UZUlRMPlrt US~
** Analytical!ala.nca 3744-00476 0ue os-1s.9s
- b. Thermomec:a:
- 3744-00004 Due 09-20-9.S
- c. l'ha:momee.r 3744-00003 Due 09-20-95
- 4. Stopwatch ('l'ilaa~) 3744-00305 Due 02-07-95
- e. Dip.cal Calipers 3743-01069 OU. 11-09-94
- a. Bo~ic Acid, Graiw.lar. HsBO,, Lot F32704, PO N'o N0359001AQ, Baker Ana1yze4 Reagent
- b. ScxU.-um Phosphate Tribuic, N~PO..
- 12 ~O, Lot 7940 !(LGT, PO No Nl.382001AQ, Mall!ackrodt AnalYtical Reagent. *
- c. Buff*~ Solution, pH 4.00, ~iah1c 5~101, Loe 941403-24, l'O No Nl019002AQ,
~*El.*d 10-16*94
- c. 3ut!*E Solutioil, pH 7.00, 1isheT S310/, I.tit 932496*Z~. PO No Nl01900lAQ, Op*ned 10* 16-94 **
- d. Buffez Solution. pH 10.00, riahe~ SB1l!, Lot 936686*24, PO No Nl019002AQ, Opened 05-23*94 11@1CA1. GMJ)g MAmXAL a.. Td*od1wa l'bospha.t:o (Phoaphori~ acid, t:i:isodhm phosphate sale dodec.hy4rat* llADUfa~t~red by Kontianco.
R*viewec1 by f!oJ J , ,.1 'Date / / - (?'Z... -p~
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