L-2009-177, Supplement to License Amendment Request 196 - Summary of Sump Ph Calculation Inputs, Assumptions, Methodology, and Results

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Supplement to License Amendment Request 196 - Summary of Sump Ph Calculation Inputs, Assumptions, Methodology, and Results
ML092230254
Person / Time
Site: Turkey Point  NextEra Energy icon.png
Issue date: 07/30/2009
From: Jefferson W
Florida Power & Light Co
To:
Document Control Desk, Office of Nuclear Reactor Regulation
References
L-2009-177
Download: ML092230254 (50)
v • d • e


Text

0 FPL. JUL 302009 POWERING TODAY.

EMPOWERING TOMORROW. 1 L-2009-177 0C 0.9 0 10 CFR 50.90 U.S. Nuclear Regulatory Commission Attn: Document Control Desk Washington, D. C. 20555-0001 Re: Turkey Point Units 3 and 4 Docket Nos. 50-250 and 50-251 Supplement to License Amendment Request 196 (ADAMS Accession No. ML092050112) - Summary of Turkey Point Sump pH Calculation Inputs, Assumptions, Methodology, and Results By letter L-2009-133 dated June 25, 2009, Florida Power and Light (FPL) requested to amend Facility Operating Licenses DPR-31 and DPR-41 and revise the Turkey Point Units 3 and 4 Technical Specifications. The proposed amendments revise the Technical Specifications to adopt the alternative source term (AST) as allowed in 10 CFR 50.67.

Additional information was requested by the NRC staff by letter on July 22, 2009 (ADAMS Accession No. ML092020529). Attachment 1, Summary of Turkey Point Sump pH Calculation Inputs, Assumptions, Methodology, and Results and Attachment 2, NAI-1396-046, Rev. 1, Turkey Point Units 3 & 4 Post-LOCA Sump pH Report of this letter provide the FPL response to the questions from the NRC staff.

In accordance with 10 CFR 50.91 (b)(1), a copy of this letter is being forwarded to the State Designee of Florida.

This supplement does not alter the significant hazards consideration or the environmental assessment previously submitted by FPL letter L-2009-133.

This letter contains no new commitments and no revisions to existing commitments.

Should you have any questions regarding this submittal, please contact Mr. Robert J.

Tomonto, Licensing Manager, at (305) 246-7327.

I declare under penalty of perjury that the foregoing is true and correct.

Executed on July __ ,_2009.

yours, Z r/*truly WW illi a rJ r.

Site vice , r ntr Turkey Point Nuclear Plant 400/

an FPL Group company

Turkey Point Units 3 and 4 L-2009-177 Docket Nos. 50-250 and 50-251 Page 2 of 2 cc: USNRC Regional Administrator, Region II USNRC Project Manager, Turkey Point Nuclear Plant USNRC Resident Inspector, Turkey Point Nuclear Plant Mr. W. A. Passetti, Florida Department of Health

Turkey Point Units 3 and 4 L-2009-177 Docket Nos. 50-250 and 50-251 Attachment 1 Page 1 of 6 Attachment 1 Summary of Turkey Point Sump pH Calculation Inputs, Assumptions, Methodology, and Results

L-2009-177 Turkey Point Units 3 and 4 Attachment 1 Docket Nos. 50-250 and 50-251 Page 2 of 6 Page 1 of 5 LICENSE AMENDMENT REQUEST 196

SUMMARY

OF SUMP pH CALCULATION INPUTS, ASSUMPTIONS, METHODOLOGY AND RESULTS The following information is provided by Florida Power and Light in response to the Nuclear Regulatory Commission's (NRC) request for additional information dated July 22, 2009.

NRC Questions 1 and 2

1. Provide time dependant values of strong acid concentrationsin the sump for a period of 30 days after a loss of coolant accident (LOCA).
2. Describe the analysis methodology used, including assumptions and inputs, to determine the pH in the sump water during a period of 30 days post-LOCA. Include detailed calculationsof time dependantpH values in the sump during a 30-day periodpost-LOCA to demonstrate that the pH remains greaterthan 7 throughout this time period.

FPL Response:

Purpose This document provides a summary of the approach, inputs, assumptions and results of NAI-1396-046 Rev. 1, Turkey Point Units 3 and 4 Post-LOCA Sump pH Report to demonstrate that the sump pH remains sufficiently high to provide assurance that significant iodine re-evolution does not occur over the period of 30 days following a loss of coolant accident (LOCA). This report includes:

  • Determining the time-dependant containment sump pH during the period of time from the onset of containment spray recirculation flow (2725 seconds) through the 30-day duration following a LOCA.

" Determining the quantity of sodium tetraborate decahydrate (NaTB) and the number of NaTB baskets required to raise the sump pH to 7.0 at the onset of containment spray recirculation.

" Determining the minimum NaTB mass required to adjust the pH level in containment.

  • Assessing the impact of formations of acid from radiolysis of air and water, and radiolysis of chloride bearing electrical cable insulation and jacketing.

Containment Sump pH Determination Methodology The hydrogen ion concentration ([H*]) in a solution is measured using the pH scale. The concentration of hydrogen ions is based on the relative concentrations of acids and bases and other ions in the solution. For evaluating the post-LOCA sump pH, the following chemical compounds are considered:

" Boron/Boric acid

" NaTB

" Hydrochloric acid

" Nitric acid

L-2009-177 Turkey Point Units 3 and 4 Attachment 1 Docket Nos. 50-250 and 50-251 Page 3 of 6 Page 2 of 5 The minor contributions from other acidic and basic species are assumed to offset and are negligible compared to the chemicals above. The boron/boric acid is introduced to the sump due to the borated water from the reactor coolant system (RCS), refueling water storage tank (RWST), and other inventory sources which travel to the sump following a LOCA. In order to offset the effect of the boron, NaTB is added to the sump to act as a buffer and raise the pH to a value greater than or equal to 7.0 at the onset of containment recirculation mode. Hydrochloric acid is generated as a result of the irradiation of the cable insulation in containment and acts to reduce the sump pH. Nitric acid is formed due to the irradiation of water in the sump and also decreases the sump pH. The relative concentration of these chemical species impacts the resulting sump pH.

The Turkey Point (PTN) sump pH report provides a comprehensive description of the methods used to determine the pH of the containment sump following a LOCA.

Inputs to the pH Calculation Inputs to the PTN containment sump pH calculation include the following:

" RCS volume and boron concentration

" Emergency Core Cooling System (ECCS) Accumulator volume and boron concentration

" Chloride bearing electrical cable insulation and jacketing mass

  • Time-Dependent Containment sump level
  • Small and Large NaTB Basket Dimensions
  • NaTB bulk density
  • NaTB surface dissolution rate

L-2009-177 Turkey Point Units 3 and 4 Attachment 1 Docket Nos. 50-250 and 50-251 Page 4 of 6 Page 3 of 5 The following table summarizes the inputs used in the enclosed PTN sump pH report:

Minimum Sump Maximum Parameter pH Sump pH RCS Mass (Ibm) 397,544 0 RCS Boron Concentration (ppm) 1950 0 ECCS Accumulator Mass (Ibm) (Total for all 3) 170,411 0 ECCS Accumulator Boron Concentration (ppm) 2600 2300 RWST Mass (Ibm) 2,269,661 2,152,498 RWST Boron Concentration (ppm) 2600 2400 Chloride Bearing Electrical Cable Insulation and 41,742 0 Jacketing Mass (Ibm)

Length = 3.0 Length = 3.0 Small NaTB Basket Dimensions (ft) Width = 3.0 Width = 3.0 Height = 2.5 Height = 2.5 Small NATB Basket Bottom Elevation (ft) 14.54 14.54 Length = 4.5 Length = 4.5 Large NaTB Basket Dimensions (ft) Width = 4.5 Width 4.5 Height = 2.77 Height 2.77 Large NaTB Basket Bottom Elevation (ft) 14.29 14.29 NaTB Bulk Density (Ibm/ft3) 48.82 54.13 Sump temperature assumed for dissolution of 100 100 NaTB (F) 30-day integrated containment sump water dose 4.64E6 0 (Rad) 30-day integrated containment air dose (Rad) 3.05E8 0 NaTB Surface Dissolution Rate (Ibm/ft2-sec) 0.00895 (at 100F) 10 (assumed)

A time dependent sump level profile was developed based upon minimum ECCS injection rates and conservative assumptions regarding fluid holdup in containment. The sump level profile has the following critical points where specified levels are reached and/or ECCS flow rates change.

Critical Sump Fill Level Points Description Time Level (min) (ft) 14' elevation reached 12.69 14.0000 RHR Injection Ends 31.66 15.6349 RWST drain down terminated 75.14 117.2432 The sump level profile shows that the RWST drain down terminates at a minimum sump level of 17.2432 feet, which occurs at 75.14 minutes. Since switch over does not occur until there is enough available net positive suction head for recirculation the baskets will always be covered at the onset of sump recirculation flow, regardless of when switchover occurs. A faster fill rate is conservative for this assessment because there is less time for the surface area of the NaTB to be in contact with the sump water prior to the baskets becoming fully submerged. Therefore, a fill rate that covers the baskets in the minimum switchover time of 2725 seconds (45.43 minutes) will result in a conservatively low pH.

This faster fill rate is achieved by adjusting the below fill level profile such that the minimum sump level is reached at 45.43 minutes.

The temperature profile used to develop LOCA containment pressure and temperature analysis is

L-2009-177 Turkey Point Units 3 and 4 Attachment 1 Docket Nos. 50-250 and 50-251 Page 5 of 6 Page 4 of 5 based on a methodology that biases the temperature high. Since lower temperatures are conservative for surface dissolution rates and for pH determination, lower temperatures were used for the PTN pH analyses. The minimum post-LOCA sump temperature prior to containment spray recirculation was determined to be greater than 1 10°F. The minimum long term containment sump temperature of 77°F was conservatively based on Component Cooling Water parameters. It should also be noted that the minimum post-LOCA containment sump temperature remains above 100°F for at least 4 hours4.62963e-5 days <br />0.00111 hours <br />6.613757e-6 weeks <br />1.522e-6 months <br />.

Enough NaTB is dissolved within the first 45.43 minutes to adjust the pH to 7.0 ensuring that iodine does not re-evolve from the sump water, and post-LOCA sump pH stays above 7.0 as acids are generated.

When assessing the maximum pH, the maximum post-LOCA containment sump temperature is conservatively assumed to be 3000F.

Assumptions used in the PH analyses

" All ionic species in the solution are assumed to be in equilibrium. Thus, pH results at any given time are based on a steady-state analysis.

" The individual activity coefficients are based on the Debye-Huckel theory which utilizes the effective ionic radius. The ionic radii utilized are provided at 25°C andthe impact of temperature on the approximate ionic radii is assumed to be negligible.

  • The density of borated water is assumed equal to that of water due to the low boron concentrations utilized.

" The density of water in the sump is assumed equal to that of water due to the low boron and borax concentrations in the sump.

  • The hydrochloric acid and nitric acid are assumed to fully dissociate in the sump. It is conservatively assumed that these acids act to neutralize the NaTB.
  • The acidic RCS, Safety Injection Tank (SIT), and RWST inventories are conservatively considered to be in the sump at the beginning of the event for purposes of determining concentrations for calculating the pH. This assumption does not affect the dissolution of the NaTB. The dissolution rate of the NaTB is dependent on the water level in the sump which is applied separately.

" No credit is taken for enhanced dissolution due to flow through the NaTB baskets.

  • The water ion product equation is assumed to be valid for temperatures higher than 50 0 C and pressures greater than 1 atm.

Radiolysis of Sump Water The nitric acid produced during irradiation of the sump water is determined based on Section 2.2.4 of NUREG/CR-5950, "Iodine Evolution and pH Control." For the minimum sump pH case, 4.6E-01 g-mol of nitric acid are produced at the onset of containment spray recirculation (2725 seconds) and 4.37E+01 g-mol of nitric acid are produced at 30 days.

Radiolysis of Electrical Cables The amount of cable insulation in containment subject to radiolysis is determined based on a review of data from the PTN Fire Protection Program Report. Specifically, the entire mass of cable insulation located in the containment building is assumed to be chloride-bearing cable insulation that is subject to radiolysis. The estimate for the quantity of cable material is based on plant walkdowns.

The following inherent conservatisms exist in this approach:

L-2009-177 Turkey Point Units 3 and 4 Attachment 1 Docket Nos. 50-250 and 50-251 Page 6 of 6 Page 5 of 5

  • Many cables have non-chlorinated insulation and jacketing material, however, the entire mass of cable insulation located in the containment building is assumed to be chloride-bearing cable insulation that is subject to radiolysis.

" Many cables have chlorinated cable jackets and non-chlorinated conductor insulation.

  • For conservatism, cable trays are considered to be 40% full or the actual fill if more than 40%

full.

The hydrochloric acid produced during irradiation of electrical cable is determined based on Section 2.2.5.2 of NUREG/CR-5950, "Iodine Evolution and pH Control." For the minimum sump pH case, 1.08E+02 g-mol of hydrochloric acid are produced at the onset of containment spray recirculation and 5.86E+03 g-mol of hydrochloric acid are produced at 30 days.

Summary of PTN pH Report Results The table below presents the minimum and maximum pH results.

Initial Dissolved (Min/Max Borax Mass Prior to pH at Long-term PH) Mass Recirc. Recirc. pH pH)__ (Ibm) (Ibm) pH Min 11061 4637 7.000 7.241 (Min.)

Max 17034 17034 8.105 8.105 (Max.)

The figure below presents the pH as a function of time for the minimum pH case:

StmppH 85M ______

7.W t5.500 _ 2 .5 455_DI._

10 10D 1505100 1 0 10 1 0 Tim lwc)

Therefore, FPL concludes that this summary of the approach, inputs, assumptions and results of NAI-1 396-046 Rev. 1, Turkey Point Units 3 and 4 Post-LOCA Sump pH Report which demonstrates that the sump pH remains sufficiently high to provide assurance that significant iodine re-evolution does not occur over the period of 30 days following a loss of coolant accident (LOCA).

Turkey Point Units 3 and 4 L-2009-177 Docket Nos. 50-250 and 50-251 Attachment 2 Page 1 of 42 Attachment 2 NA-1 396-046, Rev. 1, Turkey Point Units 3 & 4 Post-LOCA Sump pH Report

L-2009-177 Turkey Point Units 3 and 4 Attachment 2 Docket Nos. 50-250 and 50-251 Page 2 of 42 This Page Intentionally Left Blank

L-2009-177 Turkey Point Units 3 and 4 Attachment 2 Docket Nos. 50-250 and 50-251 Page 3 of 42

  • NUMERICAL Turkey Point Units 3 & 4 Post-LOCA NAI-1396-046, Rev. 1.

APPLICATIONS, INC. Sump pH Report SumppH RportPage..2 of 41 Check items in the following lists to verify that project documentation and engineering calculations that relate to this report are complete. It is the responsibility of the Report Author and Reviewer to confirm that the required Project docuinentation is complete to the extent necessary to cover the release of this Report. The Report Author is responsible for archiving the report and the supporting documents.

Mark any items that are not applicable with N/A notation.

Project Documentation Checklist" s/ Project QA Requirements Form.

ia Project QA Plan.

d' Project Organization.

Project Work Scope and Design Plan.

u( Project Calculation and Document Index including a listing for this report.

Project Engineer Training and Qualification Forms for engineers involved with this report.

Project QA Training Certification Forms for engineers involved with this report.

_ Supporting documents reviewed and signed.**

I Report complies with relevant Purchase Order QA requirements..

I-Report and supporting documents to be archived by (not more than 1 month from the final date on this Report).

    • Inputs for this report are provided in the FPL Summary RAI Response.

L-2009-177 Turkey Point Units 3 and 4 Attachment 2 Docket Nos. 50-250 and 50-251 Page 4 of 42 NUMERICAL Turkey Point Units 3 & 4 Post-LOCA NAI-1396-046, Rev. 1 A U IHE*EIN*

N INC.

  • SOFt WAM Sump pH Report Page 3 of 41 Table of Contents
1. Purpose 5
2. Results 5
3. Methodology 10 3.1 pH Calculations 10 3.2 Sump pH/Dissolution 15 3.3 Basket Configurations 21
4. Assumptions 21
5. Inputs 22 5.1 Common Inputs 22 5.2 Minimum Sump pH 32 5.3 Maximum Sump pH 38
6. References 41 List of Tables Table 1: Borax level inputs and minimum pH results for parametric level cases (2 large baskets, 8 sm all baskets) .............................................................................................................................. 7 Table 2: Minimum and maximum sump pH results ........... ...................... 7 Table 3: Gamma radiation signature and integrated energy releases ...................................... 24 Table 4: Beta radiation signature and integrated energy releases ........................................... 25 Table 5: Integrated containment air dose ................................................................................. 27 Table 6: Integrated containment sump dose ............................................................................ 28 Table 7: Water specific volume ................................................................................................ 30 Table 8: W ater ion products .................................................................................................... 31 Table 9: Debye-Huickel constants ............................................................................................ 32 T able 10: Tim e dom ains ............................................................................................................... 33 Table 11: Minimum sump temperature profile ........................................................................ 34 Table 12: Maximum RCS inventory profile ............................................................................ 34 Table 13: Maximum RWST inventory profile ........................................................................ 35 Table 14: Maximum SIT inventory profile ............................................................................... 35 Table 15: Critical sump fill level points ................................................................................... 36 Table 16: Critical sump fill level points - adjusted .................................................................. 36 T able 17: Sump fill level ............................................................................................................... 36

L-2009-177 Turkey Point Units 3 and 4 Attachment 2 Docket Nos. 50-250 and 50-251 Page 5 of 42 NUMERICAL Turkey Point Units 3 & 4 Post-LOCA NAI-1396-046, Rev. 1 APPLICATIONS, INC. Page 4 of 41 APPLIC ATIONDS, ICSump pH Report T able 18: T ime dom ains ............................................................................................................... 38 Table 19: Maximum RCS inventory profile ............................................................................ 39 Table 20: Minimum RWST inventory profile .......................................................................... 39 Table 21: Minimum SIT inventory profile ............................................................................... 40 Table 22: Sum p fill level ................................................................................................... ............. 40 List of Figures Figure 1: Dissolved borax mass at 2725 seconds vs. initial borax level ..................................... 8 Figure 2: Sump pH at 2725 seconds vs. initial borax level ............................ 8 Figure 3: C ase 1 sump pH profile .................................................................................... ................ 9 Figure 4: Case 2 sump pH profile .............................................................................................. 9 Figure 5: General Borax Basket Dimensions ........................................................................... 17

L-2009-177 Turkey Point Units 3 and 4 Attachment 2 Docket Nos. 50-250 and 50-251 Page 6 of 42 NUMERICAL Turkey Point Units 3 & 4 Post-LOCA NAI-1396-046, Rev. 1 PL/CTI=ONS, i*NC. Sump pH Report Page 5 of 41

1. Purpose The purpose of this report is to determine the time-dependent post-Loss of Coolant Accident (LOCA) pH of the containment sump. A post-LOCA pH of 7.0 prevents radioactive iodine evolution. The pH is controlled with baskets of borax (sodium tetraborate) in the containment sump which dissolve as the post-LOCA water level increases. The quantity of borax and the number of baskets required to raise the sump pH to 7.0 at the onset of containment spray recirculation mode are determined. Minimum and maximum borax levels in the baskets are also determined. The maximum sump pH is also determined based on the number of baskets required.
2. Results Multiple cases were evaluated to determine acceptable basket configurations for obtaining a minimum sump pH of 7.0 at the onset of containment spray recirculation which occurs 2725 seconds into the event. This time represents the minimum time before containment spray will take suction from the containment sump. The configuration that resulted in the minimum number of baskets required was determined to be comprised of two (2) large baskets and eight (8) small baskets. Using this basket configuration a parametric study was performed to determine the acceptable borax levels in these baskets that provide a sump pH of 7.0 at the onset of containment spray recirculation. Case 1 provides the results for the baskets being completely filled. Case 2 provides the sump pH response for the minimum borax level which maintains the pH at 7.0. Each of these cases uses the inputs for determining minimum sump pH which are presented in Sections 5.1 and 5.2.

For the range of borax levels evaluated, the pH at the onset of containment spray recirculation ranges from 7.000 to 7.008. Table 1 gives a summary of the inputs for this parametric study.

The first two columns of this table provide the height of the borax relative to the bottom of the basket. The third column gives the height of the borax relative to the top of the baskets. The fourth and fifth columns of this table provide the mass of borax dissolved by 2725 seconds and the resulting sump pH, respectively. These results are presented graphically in Figure 1 and Figure 2. As is expected, the competing effects described in Section 3.3 cause an inverted parabolic shape to the curves and provide the bounding borax levels.

The time-dependent pH profile for Cases 1 and 2 are shown in Figure 3 and Figure 4, respectively. The corresponding minimum long-term pH varies between 7.241 and 7.396 for these cases. Each of these figures shows the sump pH initially decreasing due to hydrochloric and nitric acid generation. The pH increases quickly once the water level reaches the bottom of the baskets and begins dissolving the borax. The peak sump pH is reached once all of the borax is dissolved and then begins declining due to continued acid generation. Table 2 summarizes the inputs and results for these cases.

Starting with the Case 1 basket configuration, the maximum sump pH was also evaluated using Case 3. An additional small basket was conservatively added to the configuration to provide Turkey Point the ability to increase the quantity of borax in containment. This basket configuration results in a maximum initial borax mass of 17,034 Ibm which provides a maximum

L-2009-177 Turkey Point Units 3 and 4 Attachment 2 Docket Nos. 50-250 and 50-251 Page 7 of 42

  • NUMERICAL Turkey Point Units 3 & 4 Post-LOCA NAI-1396-046, Rev. 1 APPLICATIONS, INC Sump pH Report Page 6 of 41 post-recirculation sump pH of 8.105. This case was run using the inputs for determining maximum sump pH as documented in Sections 5.1 and 5.3. A summary of the inputs and results for Case 3 is given in Table 2.

L-2009-177 Turkey Point Units 3 and 4 Attachment 2 Docket Nos. 50-250 and 50-251 Page 8 of 42

  • ] NUMERICAL Turkey Point Units 3 & 4 Post-LOCA Sump NAI-1396-046, Rev. 1 APPLICATIONS, INC pH Report Page 7 of 41 Table 1: Borax level inputs and minimum pH results for parametric level cases (2 large baskets, 8 small baskets)

Small Basket Large Basket Borax Level Relative Dissolved Mass at CS Borax Height Borax Height to Top of Basket Recirculation (ft) (ft) (ft) (Ibm) pH 2.5 2.77 0.0000 4687 7.005 2.4 2.67 -0.1000 4706 7.007 2.3 2.57 -0.2000 4716 7.008 2.2 2.47 -0.3000 4714 7.008 2.1 2.37 -0.4000 4697 7.006 2 2.27 -0.5000 4670 7.003 1.9167 2.1867 -0.5833 (-7 in) 4637 7.000 Table 2: Minimum and maximum sump pH results Case Purpose Small Basket Large Basket Initial Dissolved Min./Max.

No. (Min/Max Borax Height Borax Height Mass Recirc. Recirc. Long-term pH) (ft) (ft) (Ibm) (Ibm) pH 1 Min 2.5 2.77 14264 4687 7.005 7.396 (Min.)

2 Min 1.9167 2.1867 11061 4637 7.000 7.241 (Min.)

3 Max 2.5 2.77 17034* -17034 8.105 8.105 (Max.)

  • An additional small basket was added to the sump for calculation of the maximum pH

L-2009-177 Turkey Point Units 3 and 4 Attachment 2 Docket Nos. 50-250 and 50-251 Page 9 of 42

(* NUMERICAL APPLICATIONS, INC Turkey Point Units 3 & 4 Post-LOCA NAI-1396-046, Rev. 1 W( NWHURUGMWsO$SrWAME Sump pH Report Page 8 of 41 Dissolved Mass vs. Borax Level (at 2725 seconds) 4730 4720 4710

- 47001 4690 4680 0

= 4670 4660 46S0 4640 4630 4620

-0.7000 -0.6000 -0.S000' -0.4000 -0.3000 -0.2000 -0.1000 0.0000 Borax Level Relative to Top of Baskets (ft)

Figure 1: Dissolved borax mass at 2725 seconds vs. initial borax level Sump pH vs. Borax Level (at 2725 seconds) 7.01 7.008 7.006 C. 7.004 7.002 6.998. .

-0,7000 -0,6000 -0,5000 -0.4000 -0.3000 -0.2000 .0.1000 0.0000 Borax Level Relative to Top of Baskets jft)

Figure 2: Sump pH at 2725 seconds vs. initial borax level

L-2009-177 Turkey Point Units 3 and 4 Attachment 2 Docket Nos. 50-250 and 50-251 Page 10 of 42

  • J NUMERICAL Turkey Point Units 3 & 4 Post-LOCA NAI-1396-046, Rev. 1 APPLICATIONS, INC. Sump pH Report Page 9 of 41 GuroppH 10 ICO I"lo OOD MUDD0 100)=

Figure 3: Case 1 sump pH profile SumnpH 10 t00 low V" Ib))

Figure 4: Case 2 sump pH profile

L-2009-177 Turkey Point Units 3 and 4 Attachment 2 Docket Nos. 50-250 and 50-251 Page 11 of 42

  • NUMERICAL Turkey Point Units 3 & 4 Post-LOCA NAI-1396-046, Rev. 1 APPLICATIONS, INC. pH pH Report Rptae0 Page 10 of 414 S0W"MOSW1WWNECIIMWGA"0WSump
3. Methodology 3.1 pH Calculations The hydrogen ion concentration ([I-I]) in a solution is measured using the pH scale where:

pH = -log (

The concentration of hydrogen ions is based on the relative concentrations of acids and bases and other ions in the solution. For evaluating the post-LOCA sump pH the following chemical compounds are considered:

" Boron/Boric acid

" Borax (sodium tetraborate)

" Hydrochloric acid

" Nitric acid The minor contributions from other acidic and basic species are assumed to offset and are negligible compared to the chemicals above. The boron is introduced to the sump due to the borated water from the RCS, RWST, and other inventory sources which travel to the sump following a LOCA. In order to offset the effect of the boron, borax is added to the sump to act as a buffer and raise the pH to 7.0. Hydrochloric acid is generated as a result of the irradiation of the cable insulation in containment and tends to reduce the sump pH. Nitric acid is formed due to the irradiation of water in the sump and also decreases the pH. The relative concentration of these chemical species impacts the resulting sump pH.

The following sections provide the method for determining the pH of a solution with the chemical species identified above.

3.1.1 Conservation laws In order to determine the equilibrium conditions for a solution two general relationships are utilized. The law of conservation of charge and law(s) of conservation of mass can be combined into a single proton balance equation. This equation can be solved to determine [H÷] and the resulting pH of the solution.

In general, a solution is macroscopically electro-neutral (law of conservation of charge).

Thus, the sum of all cations and anions in the solution is zero. This relationship can be described mathematically for species A-, B2-, C+, and D2+ as:

(- 1)[A- ]+ (- 2)[B2- ]+ (+ 1)[C+ ]+ (+ 2)[D/2+ 1=0 (2)

In a given solution, the mass of a single atomic species must also be conserved. For an example acid, HA, with a known stoichiometric concentration, C, the mass conservative law is written as:

[HA]+ [A-]= C (3)

L-2009-177 Turkey Point Units 3 and 4 Attachment 2 J

Docket Nos. 50-250 and 50-251 NUMERICAL APPLIATIONS, IN Turkey Point Units 3 & 4 Post-LOCA Sump pH Report Page 12 of 42 NAI-1396-046, Rev. 1 Page 11 of 41 This equation conserves the quantity of [A-]ions in the solution.

3.1.2 Equilibriumconstants Many chemical species reach an equilibrium which takes the following form:

xX + yY + zZ +.. aA + bB + cC+... (4)

For such chemical species, the mass action law specifies that a fixed relationship exists between the concentrations of the chemicals and their stoichiometric coefficients. This law can be written in equation form as:

K-[Ar[Br[Cr

[Xr[y]Y[ZI 5 (5) where K is defined as the equilibrium constant. For the example acid, HA, the equilibrium equation and mass action law can be written as:

HA -=* H++ A- (6)

K._[H+lA-](7

[HA] (7) 3.1.3 Activity coefficients Direct use of the mass action law omits the impact of the interaction of solute particles on the equilibrium of the solution. To account for this interaction, an activity coefficient, y, is introduced which accounts for these effects on the equilibrium constant. The individual activity coefficients are based on the ionic strength of the solution, I, which is defined as:

I=1 zzCi' (8) 2 i where zi is the ionic charge and C, is the concentration of the ion.

The Debye-Htickel equation (p. 1.300 of Reference [6.7]) provides the activity for an ion of a specific valency (charge), z,, ionic radius, aj, and solution ionic strength, I, as:

log(y) :- Az (9) 1 + Bai These activity coefficients are included in the equilibrium equations which define the dissociation constants. For the example acid, HA, the dissociation constant from equation (7) is rewritten in the following manner:

L-2009-177 Turkey Point Units 3 and 4 Attachment 2 Docket Nos. 50-250 and 50-251 Page 13 of 42

  • NUMERICAL Turkey Point Units 3 & 4 Post-LOCA NAI-1396-046, Rev. 1 APPLICATIONS, INC. Sump pH Report Page 12 of 41 Ka =H H+ý-[- (10)

YHA [HAI 3.1.4 Water speciation The equilibrium constant for water, K, is typically defined assuming the concentration of water is constant. Thus, the equilibrium equation and equilibrium constant can be defined as:

H 20 ,# H+ +OH- (11)

K,, = [H+IoH-] (12)

As with other equilibrium constants, the value is dependent on temperature and ionic strength based on the activity coefficient. Thus, the equilibrium constant is rewritten as:

K, = YH' [H+]YoH- [OH] (13) 3.1.5 Boron/boric acid speciation Using simple dissociation constants for boric acid from literature does not account for polyborate species that typically form in borated water buffers. In order to determine the equilibrium concentrations of the boron species, equilibrium quotients from experimental data are utilized for this analysis. Reference [6.2] considers the formation of the following polymeric boric acid species: B(OH)3 , B(OH)4, B2(OH)7, B3 (OH)I, B 4 (OH)I. The general form of the equilibrium equation for the polymeric species formed by the boric acid is given below from this reference:

xB(OH) 3 + yOH- B(OHH)Y-B (14)

The molal equilibrium constant, QX,Y, is defined for the above equation as:

[B(OH.)3 O (15)

The equilibrium equation and molal equilibrium quotients from Reference [6.2] are given below for each of the species considered. Additionally, the temperature and ionic strength dependent correlations for each of the equilibrium quotient are provided from Tables IH and VI of Reference [6.2].

Species (1,1)

B(OH)3 + OH- <=> B(OH)(1 (16)

L-2009-177 Turkey Point Units 3 and 4 Attachment 2 Docket Nos. 50-250 and 50-251 Page 14 of 42 NUMERICAL Turkey Point Units 3 & 4 Post-LOCA NAI-1396-046, Rev. 1 APPLICATIONS, INC, Sump pH Report Page ae1 13 off4 41 sMNaw"O WFMWMO Rns ADSOI'WM#MSm HRpr

[B(OH)] (17) log(Q1 ,) = 1573.21 + 28.6059 + 0.012078T -13.2258 log(T)+

T (18)

(0.3250 - 0.00033T)I - 0.09121 2 Species (2,1) 2B(OH) 3 +OH- 0 <- B2 (OH)7 (19)

Q23, -[B2(OH)7 j (20)

[B(oH)3J [0W]

log(Q2,1 )= 2756.1 T -18.966+ 5.835 log(T) (21)

Species (3,1) 3B(OH)3 +OH- -H B3 (OH)Io (22)

B (oH);o 3 3 0 (

a3,1- [B(OH) 13[0H- (23) log(Q3.1 )= 3339.5 -8.084+1.497 log(T) (24)

T Species (4,2) 4B(OH) 3 + 20H- <=' B 4 (OH)14 (25) o42= [B4(OH)'-1J (26) 42[B(OH)3 ]4 [OH -]2(6 log(Q 4 2 )-- 12820 - 134.56 + 42.105 log(T) (27)

T where T is the temperature in Kelvin and I is the solution ionic strength (see Section 3.1.3).

The mass balance for the boron is defined by the following equation:

CB= [B(OH)3 ]I+Z xQyIB(OH) 3 ]x[ i (28)

(28)]

L-2009-177 Turkey Point Units 3 and 4 Attachment 2 Docket Nos. 50-250 and 50-251 Page 15 of 42

  • NUMERICAL Turkey Point Units 3 & 4 Post-LOCA NAI-1396-046, Rev. 1 APPLIW...TItON, A INC. Sump pH Report Page 14 of 41 where CB is the stoichiometric boron concentration in the solution. This equation can be rewritten for the boron species considered here as follows:

C, = [B(OH )3]+ Q,.,[B(OH )3][OH ]+ 2Q 21 [B(OH)3 ]2 [OH-]

(29)

+ 3Q 3,1[B(OH) 3r[OH-]+ 4Q4,2[B(OH) 3 r [OH_

3.1.6 Borax speciation Borax, also known as sodium tetraborate (Na 2 B 407 *10H 20) is used to control the sump pH. When borax is dissolved in water it creates a buffer of boric acid (B(OH )3) and its monosodium salt (NaH 2 BO3 ). The equilibrium equation for the borax solution is:

Na 2 B 4 0 7 "10H 2 0 =* 2NaH2 BO3 +2B(OH) 3 +5H 20 (30)

Although borax occurs naturally, the monosodium salt portion of the crystal can be created using a solution of boric acid and sodium hydroxide (NaOH). Since the salt of a strong base and weak acid completely dissociates, we can write the equilibrium equation for the borax solution as:

Na 2 B 4 0 7 *10H 2 0 =-*2Na+ + 4B(OH)3 + 20H + 3H 2 0 (31)

The borax solution can now be treated as sodium salt ions, which are completely dissociated, and boric acid, which dissociates based on the mechanisms described in.

Section 3.1.5. Thus, the mass balance equations for the sodium ion and boric acid are calculated as follows:

[Na+]=2 Cbor* (32)

[B(oH )3 ]borax = 4 Cbora (33)

Where Cborax is the stoichiometric concentration of borax in the sump.

3.1.7 Hydrochloric and nitric acid speciation The impact of hydrochloric and nitric acid is also considered in this evaluation. For conservatism, these species are assumed to dissociate completely in the sump. This is equivalent to having a very small dissociation constant. Thus, the hydrochloric and nitric acid dissociate as follows:

HCI = H+ + Cl- (34)

HNO3 : H + NO- (35)

Thus, the mass balance equations for these acids are:

Ici-]=c,. (36)

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Docket Nos. 50-250 and 50-251 NUMERICAL APPLICATIONS, INC Turkey Point Units 3 & 4 Post-LOCA Sump pH Report Page 16 of 42 NAI-1396-046, Rev. 1 Page 15 of 41

[NO31 CHN03 (37)

Where CHc and CHNO are the stoichiometric concentrations of hydrochloric and nitric acid, respectively.

3.1.8 EquilibriumpH determination Post-LOCA the containment sump contains a solution of the boric acid, borax, hydrochloric acid, and nitric acid. The pH of the sump is determined by balancing the charges of the individual species in the solution. By utilizing the equations developed above, [H +] (and pH) can be determined. Generalizing equation (2) to consider the four chemical compounds in the sump, in addition to the hydrolization of water, gives the following equation:

(0/)_-

[H']-[oH+]-B(onx4j-LB2 (0H)7 -tB 3 (on10j-1 (o)J-3-][

4

  • N]0(8

- [B(OH )4 o - [B 2 (OH)7 borx -[B 3 (OH)o, - 2[B4 (OH)4 bora +FNa] = (38)

The mass balance equations and equilibrium constants (with activitry coefficients) calculated above can be substituted into equation (38) to solve for [H+ . Due to the non-linearity of the boric acid speciation scheme and solution ionic strength, this equation must be solved iteratively.

3.2 Sump pH/Dissolution As described in Section 3.1, the sump pH is calculated based on the relative concentrations of borax, boric acid, and other species contained in the sump. Note that the methods for determining minimum and maximum sump pH are identical; the inputs are simply biased in the appropriate direction to obtain the bounding results. The inputs for the minimum and maximum sump pH cases are given in Section 5. The following describes the methodology for determining the pH for the Turkey Point configuration.

3.2.1 Boron & water inventory In general, the methodology utilized allows for the use of time-dependent RCS, RWST, and SIT inventories in the sump. These inventories are time dependent based on assumptions regarding the vessel blowdown, number of ECCS pumps operating, etc. Boron concentrations for these sources are generally given in concentrations of parts-per-million (ppm). The quantity of boron added to the sump from these sources is calculated based on the definition of concentration:

C Boron mBoron (39) mBoron + mwater Rearranging equation (39) gives:

L-2009-177 Turkey Point Units 3 and 4 Attachment 2 Docket Nos. 50-250 and 50-251 Page 17 of 42

  • NUMERICAL Turkey Point Units 3 & 4 Post-LOCA NAI-1396-046, Rev. 1 APPLCATIONS, INC Sump pH Report Page 16 of 41 M~n C Boron X aer(0 mr-n(1 (1- -- x (40)

The total boron and water inventory in the sump is determined and is used to determine boron concentrations for the pH and dissolution analyses.

3.2.2 Sump properties Sump properties including the water level, boron concentration, temperature, volume, etc. impact the borax dissolution and pH calculations. The sump boron concentration is calculated using equation (40) from above. A time-dependent sump temperature is utilized and is converted from

°F to K for use in evaluating other chemical properties. This temperature conversion is given by:

T[K j[F]-3.2 4K]- 1.8 + 273.15 (41)

The sump density is determined based on the sump temperature. The volume is calculated based on this density:

m m= - (42)

P 3.2.3 Acid generation There are two additional sources beyond boric acid that can decrease the pH of the sump. The dosing of cable insulation can generate hydrochloric acid which will affect the sump pH. In addition, dosing of the sump water itself generates nitric acid which also decreases the pH. To properly evaluate the pH of the sump, these sources must be considered in the pH analysis.

The amount of hydrochloric acid (HC1) produced by irradiation of electrical cable insulation is given in Section 2.2.5.2 of Reference [6.10] as 4.6E-4 g-mol HCI /

lbminsulation-Mrad. The quantity of HCl produced at any given time is given by the following equation:

MHyC =4.6E-4 g ol

- HC ation X Ycontainnent (43) lbminsulation-M r atdannn For the Case 2, 1.08E+02 g-mol of hydrochloric acid are produced at the time of recirculation (2725 seconds) and 5.86E+03 g-mol of hydrochloric acid are produced at 30 days.

Similarly, the nitric acid produced by irradiation of the sump water is given in Section 2.2.4 of Reference [6.10] as 7.3E-6 g-mol HN0 3 / L - Mrad. The quantity of nitric acid produced is given by the following equation:

MHN03 = 7.3E - 6 g -L mol HN03 xVsmpXysum

- Mrad (44)

L-2009-177 Turkey Point Units 3 and 4 Attachment 2 Docket Nos. 50-250 and 50-251 Page 18 of 42 1 NUMERICAL Turkey Point Units 3 & 4 Post-LOCA NAI-1396-046, Rev. 1 APPLICATIONS, INC., Sump pH Report Page 17 of 41 For Case 2, 4.6E-01 g-mol of nitric acid are produced at the time of recirculation (2725 seconds) and 4.37E+01 g-mol of nitric acid are produced at 30 days.

3.2.4 Basket dissolution In order for the pH of the sump to be controlled, the borax placed in baskets at the 14' elevation must dissolve into the water. The dissolution process takes a finite amount of time and is dependent on parameters such as the exposed surface area, water temperature, boron concentration in the sump, etc. Basket dimensions, elevations, and porosity along with a time dependent sump level are used to determine the borax surface area exposed to the sump water. The empirically determined surface dissolution rate (SDR) of the borax (from Section 5.2.10) is used to calculate the mass of borax dissolved at each time step based on the surface area exposed to the water. The following documents the methodology used to determine the exposed surface area for a basket for each time step.

The exposed surface area of a basket as dissolution occurs can be calculated two ways with a simplified methodology. Depending on the sump fill rate, either of the methods may be conservative. For this analysis, the dissolution will be calculated both ways for each time step and the one that results in the conservative sump pH will be utilized.

These methods are described in the sections below.

3.2.4.1 Dissolutionmethod 1 A basket containing borax is located in containment such that the bottom surface of the borax is located at an elevation, E. The length, width, and height of the basket is given by 1, w, and h. The sump water level is located at an elevation, L. These parameters are shown in the figure below.

h L

E w

Figure 5: General Borax Basket Dimensions

L-2009-177 Turkey Point Units 3 and 4 Attachment 2 Docket Nos. 50-250 and 50-251 Page 19 of 42 NUMERICAL Turkey Point Units 3 & 4 Post-LOCA NAI-1396-046, Rev. 1 APPLICATIONS, INC. Sump pH Report Page 18 of 41 Depending on the elevation of the sump water level, the surface area of the borax which is dissolved changes. When the water level is below the bottom of the basket the borax surface area in contact with the water is zero. When the water level is between the bottom and top of the basket, the total exposed surface area is the area of the bottom of the basket plus the surface of the sides that are under water. Finally, when the water level covers the top of the borax in the basket, the surface area of the top of the borax is also included. These surface areas are described in additional detail and written in equation form below.

The surface area of the sides is taken as the exposed height of the water multiplied by the perimeter of the basket. The wire mesh and structural supports which hold the basket together reduce the exposed surface area. The calculated surface area is multiplied by an effective porosity to obtain the exposed surface area utilized in the dissolution calculation. The term (L - E) in the equation below is limited to a maximum value of the height of borax in the basket, h, and a minimum value of zero.

S.A.,id, = (L - E)x 2 x(l + w)x a,,d (45)

The surface area of the bottom of the basket is the length multiplied by the width and is only used when the water level is above the bottom of the basket. As with the sides of the basket, porosity is multiplied by this area to get an effective surface area.

S.A.ho*om x w xabotom (46)

The surface area of the top of the basket is the length multiplied by the width and is only used when the water level is above the top of the borax. As with the sides of the basket, porosity is multiplied by this area to get an effective surface area.

S.A.,op =lXwXa'0P (47)

The surface areas can be combined into a single equation which is given below.

L<E 0 AboE E<L<E+h S.A.bottom + S.A.sides (48)

E> E+h S.A.borom "+- S.A.sides + S.A.top This surface area is used to calculate the mass of borax dissolved during a given time step according to equation (49).

mdissolved = Abora x SDR x t (49)

The mass of borax remaining after this time step is calculated from:

m,*. =m previous - mdissolved (50)

The ratio of the new mass to the original mass, R, is determined.

L-2009-177 Turkey Point Units 3 and 4 Attachment 2 Docket Nos. 50-250 and 50-251 Page 20 of 42 1 NUMERICAL Turkey Point Units 3 & 4 Post-LOCA NAI-1396-046, Rev. 1 APPLIATION5, INC. Sump pH Report Page 19 of 41 R mew1n (51) m Assuming the density of the borax remains constant, this ratio is also equivalent to the volume ratio.

R V"'

R= new > V,, = RV (52)

V L,,, w,, x h,,, = R(L xwx h) (53)

The length of each side is assumed to be reduced proportional to the total mass dissolved (i.e., the relative dimensions of the borax in the basket do not change). This is written in mathematical form as:

Lnew X Wnew Xhnew = (R3 X L)X(R//3 X w)X(Rlv3X h) (54)

Thus, the new dimensions to be substituted into the surface area calculations above (equations (45), (46), and (47)) are:

l',e,= R) 3xl (55)

Wnew =R3xw (56) hnew =RY3xh (57)

This process is repeated for each time step until all of the borax is dissolved into solution.

3.2.4.2 Dissolution method 2 A potential shortcoming of dissolution method 1 is that it reduces the length of all borax dimensions proportional to the mass dissolved. Depending on the rate at which the water level rises, this may not be conservative. If the water level rises slowly, dissolution method 1 will result in too large of a surface area being considered since some of the surface area is being removed from the top surface of the borax.

The potential non-conservatism identified above is remedied by not reducing the height of the borax for the surface area calculation. Instead of each side being reduced proportional to the total mass dissolved, only the length and width dimensions are reduced. Thus, the new dimensions for the sides of the basket for dissolution method 2 are:

new =R 2xl (58)

Wnew =RYxw (59)

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  • NUMERICAL Turkey Point Units 3 & 4 Post-LOCA NAI-1396-046, Rev. 1 APPLICATIONS, INC Page 20 of 41 APPLICATOUNAND , Sump pH Report hnew = h (60)

The remaining methodology utilized for dissolution method 1 is used for dissolution methodology 2.

It should be noted that more detailed modeling of the baskets could be performed to provide a more refined result. However, past experience has shown that these more complex methods have a negligible impact on the effective dissolution rate. Both the methods described above include an added measure of conservatism by not crediting the surface area of the top of the borax until the water level is greater than the original level of the top of the borax. In reality, as the borax dissolves from the bottom of the basket the height of the borax will decrease. This effectively moves the top surface of the borax lower in the containment which would result in it being covered more quickly than is assumed in the methods above. Additionally, the surface area is likely to be much greater than assumed due to the collapsing of the borax. Thus, the methods described above are conservative for determining the time-dependent quantity of borax dissolved in the sump.

3.2.5 Species concentrations Using the water inventory calculated in Section 3.2.1, the concentrations of each of the chemical species in the sump is calculated according to the following equation:

mA

[A]- MWA (61)

Vsump Where mA is the mass of species A MWA is the molecular mass of species A Vsump is the volume of the sump water These concentrations are used to calculate the pH of the sump.

3.2.6 Activity coefficients Individual activity coefficients for the hydrogen ion and hydroxide ion are calculated using equation (9) from Section 3.1.3. Since this equation includes a term for ionic strength, an assumed value is used for this parameter which is verified at the end of the pH calculation.

Activity coefficients for the remaining species are either included in their respective solution methods (e.g., boric acid) or conservatively are assumed to be unity (e.g., sodium ion and nitric acid ion).

L-2009-177 Turkey Point Units 3 and 4 Attachment 2 Docket Nos. 50-250 and 50-251 Page 22 of 42

  • NUMERICAL Turkey Point Units 3 & 4 Post-LOCA NAI-1396-046, Rev. 1 APPLICATIONS, INC. Sump pH Report Page 21 off4 41 RR S.UTXS W HGM#1WJDSOFAW At) Sm HReotPge2 3.2.7 EquilibriumpH determination The post-LOCA containment sump contains a solution of the boric acid, borax, hydrochloric acid, and nitric acid. The pH of the sump is calculated by balancing the charges on the individual ions as described in Section 3.1.8.

3.3 Basket Configurations In order to determine an acceptable basket configuration (i.e., number of large and small baskets required), a parametric study is performed to minimize the number of baskets utilized. Once the minimum number of baskets is identified, a range of acceptable borax levels in the baskets is determined to provide Technical Specification minimum borax levels. Due to the dissolution methodologies utilized, increasing the level of borax in the baskets does not necessarily increase the sump pH at the time containment spray begins to take suction from the containment sump.

Lowering the borax level in the basket decreases the quantity available for dissolution but also accelerates the time at which the top surface area is exposed to water, potentially increasing the amount of borax dissolved at containment spray recirculation. Conversely, raising the borax level increases the mass of borax available for dissolution but also reduces the time when the top of the borax is exposed to sump water. Thus, the acceptable range of borax levels in the sump must be evaluated parametrically.

4. Assumptions The following section documents assumptions for the analysis.

4.1 All ionic species in the solution are assumed to be in equilibrium. Thus, the pH results at any given time are based on a steady-state analysis.

4.2 The individual activity coefficients are based on the Debye- Htickel theory which utilizes the effective ionic radius. The ionic radii utilized are provided at 25"C and the impact of temperature on the approximate ionic radii is assumed to be negligible.

4.3 The density of borated water is assumed equal to that of water due to the low boron concentrations utilized.

4.4 The density of water in the sump is assumed equal to that of water due to the low boron and borax concentrations in the sump.

4.5 The hydrochloric acid and nitric acid are assumed to fully dissociate in the sump.

It is conservatively assumed that these acids act to neutralize the borax.

4.6 The acidic RCS, SIT, and RWST inventories are conservatively considered to be in the sump at the beginning of the event for purposes of determining concentrations for calculating the pH. This assumption does not affect the dissolution of the borax. The dissolution rate of the borax is dependent on the water level in the sump which is applied separately.

4.7 No credit is taken for enhanced dissolution due to flow through the baskets.

4.8 The water ion product equation is assumed to be valid for temperatures higher than 50 'C and pressures greater than 1 atm.

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[ NUMERICAL Turkey Point Units 3 & 4 Post-LOCA NAI-1396-046, Rev. 1 APPLIATION 5, INC Sump pH Report Page 22 of 41

5. Inputs The following sections provide the development of inputs for determining the minimum and maximum sump pH.

5.1 Common Inputs The following section provides inputs that are common to both the minimum and maximum sump pH cases.

5.1.1 Large Basket Parameters The large baskets, hereafter referred to as "basket type 1", have the following dimensions and elevation:

Length = 54 in = 4.5 ft Width = 54 in = 4.5 ft Height = 33.25 in = 2.77 ft (Note: the borax height is varied parametrically for this analysis.)

Bottom elevation = 14' + 3.5 in legs = 14.29 ft A nominal porosity of 1.0 is utilized for the top and sides of the basket which is consistent with the method utilized by and approved for other licensees as described in Appendix C of Attachment 3 of Reference [6.12]. Use of a porosity of 1.0 for the top of the borax is appropriate since the dissolution of the borax from the bottom of the basket would reduce the height of the borax. Once the sump water level reaches the top of the basket enough material would be dissolved that the top of the borax would no longer be in contact with the basket's lid. Thus, water would be in contact with the entire surface area of the top of the borax. For the sides of the basket, a porosity of 1.0 is appropriate since the borax will no longer be in contact with the basket support structure immediately following the initial dissolution of borax.

atop = 1.0 a sides = 1.0 The porosity of the bottom of the basket is calculated by reducing the surface area available for dissolution by the projected area of the basket support structure. This method is appropriate since gravity will tend to keep the borax in contact with the bottom of the basket.

The porosity of the bottom of the baskets is calculated as:

Abottom, open0 abottom - Ambottoml 0.524

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Docket Nos. 50-250 and 50-251 NUMERICAL APPLICATIONS. INC.

Turkey Point Units 3 & 4 Post-LOCA Sump pH Report Page 24 of 42 NAI-1396-046, Rev. 1 Page 23 of 41 5.1.2 Small Basket Parameters The small baskets, hereafter referred to as "basket type 2", have the following dimensions and elevation:

Length = 3'-O" = 3 ft Width =3'-O" =3 ft Height = 2'-6" = 2.5 ft (Note: the borax height is varied parametrically for this analysis.)

Bottom elevation = 14' + 6.5 in casters = 14.54 ft The porosities for the bottom, sides, and top of the small baskets are developed in Section 5.1.1 and are repeated here for clarity.

atov = 1.0 a sides = 1.0 abonom = 0.524 5.1.3 ContainmentAir and Sump Water Dose In order to calculate the production of HCI and HNO 3 in containment, the integrated doses must be calculated. Typical radiation release signatures for both gamma and beta radiation are given in Figures 1 and 2 of Reference [6.13], respectively. By integrating the area under each of these curves from the beginning of the event to 30 days post-LOCA, a time-dependent integrated dose fraction can be calculated for each time point.

Table 3 gives the time, energy release rate, and integrated energy release for gamma radiation using the trapezoidal rule. For example, at time of 19 seconds, the integrated energy release is calculated as follows:

ErIease (Current Rate +2Previous Rate) x (CurrentTime - PreviousTime)

+ Previous Energy (9.87E + 6 MeV + 1.8 9 E + 7 MeVI Erelease s-W s-W x (1.90E + ls- 1.80E+ ls)+ 8.90E + 7MeV 2 W

=lOE+MeV E release 1.03E + 8 1--

W

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  • J NUMERICAL Turkey Point Units 3 & 4 Post-LOCA NAI-1396-046, Rev. 1 APPLICATIONS, 5ou1N ttJ =t INC.

~ltR Sump pH Report. Page 24 of 41 Table 3: Gamma radiation signature and integrated energy releases Time Energy Release Rate Energy Release (sec) (MeV/sec/W) (MeV/W) 1.80E+01 9.87E+06 8.90E+07 1.90E+01 1.89E+07 1.03E+08 4.61E+01 2.71 E+08 4.04E+09 5.16E+01 3.36E+08 5.71E+09 5.59E+01 3.85E+08 7.23E+09 6.07E+01 4.30E+08 9.18E+09 9.53E+01 7.53E+08 2.97E+10 9.71E+01 7.60E+08 3.11E+10 1.88E+02 1.11E+09 1.16E+11 2.08E+02 1.09E+09 1.38E+1 1 4.65E+02 8.91 E+08 3.93E+1 1 5.54E+02 8.59E+08 4.71E+1 1 9.30E+02 7.25E+08 7.69E+1 1 1.06E+03 7.02E+08 8.63E+11 1.86E+03 5.66E+08 1.37E+12 2.16E+03 5.41 E+08 1.54E+12 3.39E+03 4.37E+08 2.14E+12 3.90E+03 4.06E+08 2.35E+12 4.71 E+03 3.56E+08 2.66E+12 5.23E+03 3.43E+08 2.84E+12 9.37E+03 2.37E+08 4.04E+12 1.09E+04 2.25E+08 4.40E+12 1.92E+04 1.64E+08 6.02E+12 2.08E+04 1.61E+08 6.28E+12 4.20E+04 1.15 E+08 9.19E+12 4.48E+04 1.13E+08 9.51E+12 5.34E+04 1.07E+08 1.05E+13 8.14E+04 8.87E+07 1.32E+13 8.56E+04 8.81 E+07 1.36E+13

L-2009-177 Turkey Point Units 3 and 4 Attachment 2 Docket Nos. 50-250 and 50-251 Page 26 of 42

(* NUMERICAL Turkey Point Units 3 & 4 Post-LOCA NAI-1396-046, Rev. 1 APPLICATIONS, INC. Sump pH Report Page 25 of 41 Time Energy Release Rate Energy Release (sec) (MeV/sec/W) (MeV/W) 1.02E+05 8.58E+07 1.50E+13 1.95E+05 7.31 E+07 2.24E+1 3 2.02E+05 7.29E+07 2.29E+13 3.45E+05 6.91E+07 3.31E+13 3.48E+05 6.90E+07 3.32E+ 13 5.00E+05 6.62E+07 4.35E+13 5.08E+05 6.61 E+07 4.41E+13 8.37E+05 6.25E+07 6.52E+1 3 8.44E+05 6.25E+07 6.57E+13 1.96E+06 6.14E+07 1.35E+14 2.01 E+06 6.14E+07 1.38E+14 2.59E+06 6.1OE+07 1.73E+14 Table 4: Beta radiation signature and integrated energy releases Time Energy Release Rate Energy Release (sec) (MeV/sec/W) (MeV/W) 1.80E+01 9.36E+06 8.45E+07 1.90E+01 9.86E+06 9.38E+07 4.61 E+01 1.75E+08 2.60E+09 5.16E+01 2.09E+08 3.66E+09 5.59E+01 2.48E+08 4.63E+09 6.07E+01 2.92E+08 5.92E+09 9.53E+01 5.41 E+08 2.04E+1 0 9.71E+01 5.54E+08 2.13E+10 1.88E+02 7.57E+08 8.09E+ 10 2.08E+02 8.02E+08 9.66E+10 4.65E+02 6.53E+08 2.83E+11 5.54E+02 6.OQE+08 3.39E+1 1 9.30E+02 4.90E+08 5.44E+1 1 1.06E+03 4.51 E+08 6.07E+1 1 1.86E+03 3.63E+08 9.30E+1 1 2.16E+03 3.29E+08 1.03E+12 3.39E+03 2.69E+08 1.40E+12 3.90E+03 2.44E+08 1.53E+12

L-2009-177 Turkey Point Units 3 and 4 Attachment 2 Docket Nos. 50-250 and 50-251 Page 27 of 42

  • NUMERICAL Turkey Point Units 3 & 4 Post-LOCA NAI-1396-046, Rev. 1 APPLICATIONS, INC. Sump pH Report Page 26 of 41 Time Energy Release Rate Energy Release (sec) (MeV/sec/W) (MeV/W) 4.71E+03 2.16E+08 1.72E+12 5.23E+03 1.99E+08 1.83E+1 2 9.37E+03 1.49E+08 2.55E+12 1.09E+04 1.30E+08 2.76E+12 1.92E+04 9.47E+07 3.70E+12 2.08E+04 8.79E+07 3.85E+12 4.20E+04 5.91E+07 5.40E+12 4.48E+04 5.54E+07 5.56E+12 5.34E+04 5.1OE+07 6.02E+12 8.14E+04 4.04E+07 7.30E+12 8.56E+04 3.89E+07 7.46E+12 1.02E+05 3.63E+07 8.09E+12 1.95E+05 2.85E+07 1.11E+13 2.02E+05 2.80E+07 1.13E+13 3.45E+05 2.47E+07 1.51 E+1 3 3.48E+05 2.46E+07 1.51 E+1 3 5.OQE+05 2.28E+07 1.87E+13 5.08E+05 2.27E+07 1.89E+13 8.37E+05 2.09E+07 2.61 E+13 8.44E+05 2.09E+07 2.62E+13 1.96E+06 1.85E+07 4.82E+1 3 2.01 E+06 1.84E+07 4.90E+13 2.59E+06 1.81 E+07 5.97E+1 3 The tables above can be used to generate the general shape of the integrated dose for the containment air and sump. The total integrated dose at each time is divided by the 30 day integrated dose to obtain an integrated dose fraction. These 'fractions are multiplied by the Turkey Point specific nominal 30 day integrated doses for the containment air and sump. An example of this calculation is completed below to obtain the integrated beta dose fraction to the containment air at 1.8E+1 seconds.

8.45E +07 F = X2.5E + 8 rad = 3.54E + 02rad 5.97E + 13 This process is repeated for the sump and air beta and gamma doses. The total doses for the sump and containment air are added together and provided in the tables below.

L-2009-177 Turkey Point Units 3 and 4 Attachment 2 Docket Nos. 50-250 and 50-251 Page 28 of 42

  • J NUMERICAL Turkey Point Units 3 & 4 Post-LOCA NAI-1396-046, Rev. 1 APPLICATIONS, INC. Sump pH Report Page 27 of 41 Table 5: Integrated containment air dose Integrated Time Dose (sec) (Rads) 1.80E+01 3.82E+02 1.90E+01 4.25E+02 4.61 E+01 1.22E+04 5.16E+01 1.72E+04 5.59E+01 2.17E+04 6.07E+01 2.77E+04 9.53E+01 9.47E+04 9.71 E+01 9.92E+04 1.88E+02 3.75E+05 2.08E+02 4.48E+05 4.65E+02 1.31 E+06 5.54E+02 1.57E+06 9.30E+02 2.52E+06 1.06E+03 2.81E+06 1.86E+03 4.33E+06 2.16E+03 4.82E+06 3.39E+03 6.55E+06 3.90E+03 7.16E+06 4.71 E+03 8.04E+06 5.23E+03 8.55E+06 9.37E+03 1.19E+07 1.09E+04 1.30E+07 1.92E+04 1.74E+07 2.08E+04 1.81 E+07 4.20E+04 2.55E+07 4.48E+04 2.63E+07 5.34E+04 2.85E+07 8.14E+04 3.48E+07 8.56E+04 3.56E+07 1.02E+05 3.87E+07

L-2009-177 Turkey Point Units 3 and 4 Attachment 2 Docket Nos. 50-250 and 50-251 Page 29 of 42

{J NUMERICAL Turkey Point Units 3 & 4 Post-LOCA NAI-1396-046, Rev. 1 APPLICATIONS, INC Sump pH Report Page 28 of 41 Integrated Time Dose (sec) (Rads) 1.95E+05 5.37E+07 2.02E+05 5.46E+07 3.45E+05 7.36E+07 3.48E+05 7.39E+07 5.OOE+05 9.23E+07 5.08E+05 9.33E+07 8.37E+05 1.30E+08 8.44E+05 1.31 E+08 1.96E+06 2.45E+08 2.01 E+06 2.49E+08 2.59E+06 3.05E+08 Table 6: Integrated containment sump dose Integrated Time Dose (sec) (Rads) 1.80E+01 2.38E+00 1.90E+01 2.75E+00 4.61 E+01 1.08E+02 5.16E+01 1.53E+02 5.59E+01 1.93E+02 6.07E+01 2.46E+02 9.53E+01 7.94E+02 9.71 E+01 8.31 E+02 1.88E+02 3.1OE+03 2.08E+02 3.70E+03 4.65E+02 1.05E+04 5.54E+02 1.26E+04 9.30E+02 2.06E+04 1.06E+03 2.31 E+04 1.86E+03 3.66E+04 2.16E+03 4.11E+04 3.39E+03 5.71 E+04 3.90E+03 6.29E+04

L-2009-177 Turkey Point Units 3 and 4 Attachment 2 Docket Nos. 50-250 and 50-251 Page 30 of 42

  • J NUMERICAL Turkey Point Units 3 & 4 Post-LOCA NAI-1396-046, Rev. 1 APPLICATIONS, INC Sump pH Report Page 29 of 41 Integrated Time Dose (sec) (Rads) 4.71E+03 7.11 E+04 5.23E+03 7.60E+04 9.37E+03 1.08E+05 1.09E+04 1.18E+05 1.92E+04 1.61 E+05 2.08E+04 1.68E+05 4.20E+04 2.46E+05 4.48E+04 2.54E+05 5.34E+04 2.80E+05 8.14E+04 3.53E+05 8.56E+04 3.63E+05 1.02E+05 4.02E+05 1.95E+05 6.OOE+05 2.02E+05 6.13E+05 3.45E+05 8.85E+05 3.48E+05 8.89E+05 5.OOE+05 1.16E+06 5.08E+05 1.18E+06 8.37E+05 1.74E+06 8.44E+05 1.76E+06 1.96E+06 3.60E+06 2.01 E+06 3.68E+06 2.59E+06 4.64E+06 5.1.4 Water Density The temperature-dependent specific volume of water is taken from Appendix 24.A of Reference [6.5] and is converted to density using the following relation:

V The table of specific volume is given below.

L-2009-177 Turkey Point Units 3 and 4 Attachment 2 Docket Nos. 50-250 and 50-251 Page 31 of 42 (J NUMERICAL Turkey Point Units 3 & 4,Post-LOCA NAI-1396-046, Rev. 1 APPLIC*TONS, INC. Sump pH Report Page 30 of 41 Table 7: Water specific volume Specific Temp. Volume (deg-F) (ft 3/Ibm) 40 0.01602 50 0.01602 60 0.01604 70 0.01605 80 0.01607 90 0.0161 100 0.01613 110 0.01617 120 0.01621 130 0.01625 140 0.01629 150 0.01634 160 0.01639 170 0.01645 180 0.01651 190 0.01657 200 0.01663 210 0.0167 212 0.01672 220 0.01677 230 0.01685 240 0.01692 250 0.017 260 0.01708 270 0.01717 280 0.01726 290 0.01735 300 0.01745 5.1.5 Water Ion Product The temperature-dependent ion product of water is from the equation given in Table 3.2 of Reference [6.11] which is as follows:

-log(Kw)= 4470.99 _6.0875 + 0.01706T T

Note that the temperature, T, specified in the equation above is in units of Kelvin. This parameter is calculated for temperatures between 0°C and 150°C in 5°C increments. An additional data point for 148.88"F (300°F) is also included. The table generated using this equation is given below.

L-2009-177 Turkey Point Units 3 and 4 Attachment 2 Docket Nos. 50-250 and 50-251 Page 32 of 42

  • NUMERICAL Turkey Point Units 3 & 4 Post-LOCA NAI-1396-046, Rev. 1 A Sump pH Report Page 31 of 41 Table 8: Water ion products Temp.

(deg-C) -1og(Kw) 0 14.941 5 14.732 10 14.533 15 14.345 20 14.165 25 13.995 30 13.833 35 13.679 40 13.532 45 13.393 50 13.261 55 13.136 60 13.016 65 12.903 70 12.796 75 12.694 80 12.598 85 12.506 90 12.420 95 12.338 100 12.260 105 12.187 110 12.118 115 12.053 120 11.992 125 11.934 130 11.880 135 11.830 140 11.783 145 11.738 148.88 11.706 150 11.697 5.1.6 Debye-Hiickel Constants The Debye-Htickel constants that are used to calculate the activity coefficients are taken from Table 1.59 of Reference [6.7]. These parameters are given in the table below. Note that an additional point is added for 148.88°C (300 0F) and the value of the constants are assumed to be the same as those at 100*C.

L-2009-177 Turkey Point Units 3 and 4 Attachment 2 Docket Nos. 50-250 and 50-251 Page 33 of 42

  • J NUMERICAL Turkey Point Units 3 & 4 Post-LOCA NAI-1396-046, Rev. 1 APPLICATIONS, INC Sump pH Report Page 32 of 41 Table 9: Debye-Huickel constants Temp.

(deg-C) A B 0 0.4918 0.3248 5 0.4952 0.3256 10 0.4989 0.3264 15 0.5028 0.3273 20 0.507 0.3282 25 0.5115 0.3291 30 0.5161 0.3301 35 0.5211 0.3312 40 0.5262 0.3323 45 0.5317 0.3334 50 0.5373 0.3346 55 0.5432 0.3358 60 0.5494 0.3371 65 0.5558 0.3384 70 0.5625 0.3397 75 0.5695 0.3411 80 0.5767 0.3426 85 0.5842 0.3440 90 0.5920 0.3456 95 0.6001 0.3471 100 0.6086 0.3488 148.88 0.6086 0.3488 5.2 Minimum Sump pH Three cases are run for determining the minimum number of baskets of borax required to obtain a sump pH of at least 7.0 prior to the start of recirculation spray. Two different size baskets are available and the three cases are run to provide flexibility in choosing an appropriate basket configuration. The only input difference between these cases is the number of baskets utilized for each. These values are provided as results in Section 2.

5.2.1 NaTB Bulk Density The minimum bulk density for the borax is 48.82 lbm/ft3 . The minimum density maximizes the number of baskets required and dissolution time since it maximizes the surface-to-mass ratio.

L-2009-177 Turkey Point Units 3 and 4 Attachment 2 Docket Nos. 50-250 and 50-251 Page 34 of 42

  • J NUMERICAL Turkey Point Units 3 & 4 Post-LOCA NAI-1396-046, Rev. 1 APPLICATIONS, INC Sump pH Report Page 33 of 41 5.2.2 Water Inventory Boron Concentrations Maximizing boron concentrations in the RWST, RCS, and SIT water inventory requires that more borax be added to the sump and minimizes sump pH. The maximum boron concentrations for the RCS, RWST, and SIT are given below.

CBoron, RCS,max = 1950 ppm CBoron, RWST, max = 2600 ppm CBoro,.sIT, m, = 2600 ppm 5.2.3 Cable Insulation Mass The maximum cable insulation mass for Turkey Point is present in Unit 3 and is 41,742 Ibm.

5.2.4 Time Step Sizes The following time domains were used to complete the analysis:

Table 10: Time domains Time Step End Time Size (sec) (sec) 2730 5 3600 10 10800 60 86400 3600 2.592E+06 43200 5.2.5 Sump TemperatureforpH Use of the minimum sump temperature is conservative for determining the minimum pH.

This is primarily due to the higher density increasing the volumetric boron concentration in the sump but also due to other effects related to the dissociation constants and water ion product. Prior to spray recirculation, the sump temperature remains above 1 10*F.

Long-term, the sump temperature is assumed to drop as low as 77°F. For this evaluation, the sump temperature for determining pH will be maintained at 110'F until spray recirculation mode is reached at 2725 seconds and is conservatively assumed to reduce to 77"F at one hour. This temperature is maintained for the remainder of the event. The following table is utilized:

L-2009-177 Turkey Point Units 3 and 4 Attachment 2 Docket Nos. 50-250 and 50-251 Page 35 of 42

  • NUMERICAL Turkey Point Units 3 & 4 Post-LOCA NAI-1396-046, Rev. 1 APPLICATION S, INC.of4 Sump pH Report Page 34 of 41 APLICATNS,_

Table 11: Minimum sump temperature profile Time Temp.

(sec) (deg-F) 0 110 1 110 100 110 200 110 300 110 400 110 500 110 600 110 700 110 800 110 900 110 1000 110 1100 110 1200 110 1300 110 1400 110 2725 110 3600 77 10001 77 2.592E+06 77 5.2.6 RCS Inventory in Sump The maximum RCS inventory is given as 397,544 Ibm. Using the maximum inventory is conservative since it maximizes the quantity of borax required to achieve a sump pH of 7.0. This entire inventory is assumed to be deposited into the sump during the first time step. This is accomplished using the following input table.

Table 12: Maximum RCS inventory profile Time Mass (sec) (Ibm) 0 0 1 397544 2.592E+06 397544

L-2009-177 Turkey Point Units 3 and 4 Attachment 2 f

Docket Nos. 50-250 and 50-251 NUMERICAL N INC Turkey Point Units 3 & 4 Post-LOCA Sump pH Report Page 36 of 42 NAI-1396-046, Rev. 1 Page 35 of 41 5.2.7 RWST Inventory in Sump The maximum RWST inventory in the sump is given as 2,269,661 Ibm. This entire inventory is assumed to be deposited into the sump during the first time step. This is accomplished using the following input table.

Table 13: Maximum RWST inventory profile Time Mass (sec) (Ibm) 0 0 1 2269661 2.592E+06 2269661 5.2.8 SIT Inventory in Sump The maximum SIT liquid mass is 170,411 Ibm. This value is input using the following table.

Table 14: Maximum SIT inventory profile Time Mass (sec) (Ibm) o 0

'1 170411 2.592E+06 170411 5.2.9 Sump Level A time dependent sump level profile was developed based upon minimum ECCS injection rates and conservative assumptions regarding fluid holdup in containment. The sump level profile has the following critical points where specified levels are reached and/or ECCS flow rates change.

L-2009-177 Turkey Point Units 3 and 4 Attachment 2 Docket Nos. 50-250 and 50-251 Page 37 of 42

  • J NUMERICAL Turkey Point Units 3 & 4 Post-LOCA NAI-1396-046, Rev. 1 APPLICATIONS, INC Sump pH Report Page 36 of 41 ORS Q~nWS*C(WMMSM0SOAWAM Table 15: Critical sump f'll level points Description Time Level (min) (ft) 14' elevation reached 12.69 14.0000 RHR Injection Ends 31.66 15.6349 RWST drain down terminated 75.14 17.2432 The sump level profile shows that the RWST drain down terminates at a minimum sump level of 17.2432 ft, which occurs at 75.14 minutes. Therefore, the baskets will be covered by the time of switchover, regardless of when switchover occurs. With faster fill rates, the pH will be lower at the time of switchover because there is less time for the surface area of the borax to be in contact with the sump water prior to the baskets being fully submerged. Thus, a fill rate that covers the baskets in the minimum switchover time of 2725 seconds (45.431 minutes) will result in a conservatively low pH. This faster fill rate is achieved by adjusting the fill level profile such that the minimum sump level is reached at 45.431 minutes. This adjustment is made by reducing the times in the table above proportional to the ratio of the maximum 75.14 minutes and minimum fill rate termination times (45.431 / 75.14). Thus, the new points for the sump fill level are as follow:

Table 16: Critical sump fill level points - adjusted Description Time Level (min) (ft) 14' elevation reached 7.67 14.0000 RHR Injection Ends 19.14 15.6349 RWST drain down stopped 45.43 17.2432 This sump fill level is applied to the workbook using the following table.

Table 17: Sump fill level Time Level (sec) (ft) 0 0.000 460.2 14.00 1148.4 15.635

L-2009-177, Turkey Point Units 3 and 4 Attachment 2 Docket Nos. 50-250 and 50-251 Page 38 of 42 NUMERICAL Turkey Point Units 3 & 4 Post-LOCA NAI-1396-046, Rev. 1 APPLICATIONS, INC. Sump pH Report Page 37 of 41 Time Level (sec) (f) 2725.8 17.243 100000.00 17.243 2.592E+06 17.243 5.2.10 Surface DissolutionRate The surface dissolution rate utilized to determine the quantity of dissolved borax in the sump is calculated from Reference [6.4]. The SDR for a sample may be calculated as follows:

SDR = X (62) 2xtd where m is the sample mass, p is the sample density, and td is the time required for dissolution.

The SDR determines the rate of borax addition to the sump solution used to determine the mass of dissolved borax (Equation 49) in the sump. The dissolving mass of borax increases the equilibrium pH using Equation 38. A lower surface dissolution rate results from a lower containment sump temperature. Analyses indicate that the PTN minimum post-LOCA containment sump temperature remains above 100°F for the time period during which all of the borax is dissolved. At -100°F, page 67 of Reference [6.4] shows that a 1.091 gram sample of borax dissolved in 100 seconds. Using equation (62), the SDR for the borax is calculated as:

__ _ _~ 1.091g Xx 1r Y3x( 4 8 .8 2 -r SDR m2 - ,5-.-ty ft = 0.00895 Ibm xtd 2x100sec ft 2 - sec The SDR of 0.00895 lbm/ft2-sec calculated above is conservatively used for all temperatures and boron concentrations in the sump pH analysis. As a demonstration of the conservatism of using the minimum post-LOCA containment sump temperature to determine surface dissolution rate, the surface dissolution rate for borax at -1 50°F equals 0.0203 lbm/ft2 -sec based on the data from page 67 of Reference [6.4]. The SDR value at

-150*F is more than double the value at -100F. The conservative SDR value of 0.00895 lbm/ft2-sec is used.

5.2.11 Sump Temperaturefor Dissolution As described in Section 5.2.10, a constant surface dissolution rate at -100'F is used for the entire transient. Thus, the sump temperature profile, Table 11, is not utilized.

L-2009-177 Turkey Point Units 3 and 4 Attachment 2 Docket Nos. 50-250 and 50-251 Page 39 of 42

~N UMERICAL Turkey Point Units 3 & 4 Post-LOCA NAI-1396-046, Rev. 1 APPLICTIONS, INC Sump pH Report Page 38 of 41 SOJWlOMSS"aU1UMrNM AH0G

  • fa*tAM 5.3 Maximum Sump pH 5.3.1 NaTB Bulk Density The maximum bulk density for the borax is 54.13 lbm/ft 3. The maximum density increases the mass of borax (for a given number of baskets) and maximizes the sump pH.

5.3.2 Water Inventory Boron Concentrations Minimizing the boron concentrations in the RWST, RCS, and SIT water inventory maximizes the sump pH. The minimum boron concentrations for the RCS, RWST, and SIT are given below.

CBoron,RCS, min = 0 ppmI CBoron, RWST, min = 2400 ppm CBoron,SIT, min = 2300 ppm 5.3.3 Cable InsulationMass The cable insulation mass is set to zero so that no hydrochloric acid, which would decrease the sump pH, will be generated.

5.3.4 Time Step Sizes Since no hydrochloric and nitric acid are credited for determining the maximum sump pH, only a few time steps are necessary to calculate the maximum pH. The following time domains were used to complete the analysis:

Table 18: Time domains Time Step End Time Size (sec) (sec) 100 5 200 10 300 10 400 10 5.000E+02 10

L-2009-177 Turkey Point Units 3 and 4 Attachment 2 Docket Nos. 50-250 and 50-251 Page 40 of 42

~N UMERICAL Turkey Point Units 3 & 4 Post-LOCA NAI-1396-046, Rev. 1 APPLICATIONS, INC. Sump pH Report Page 39 of 41 5.3.5 Sump Temperaturefor pH Use of the maximum sump temperature is conservative for determining the maximum pH. The maximum sump temperature is assumed to be bounded by 300*F. This temperature is used for the entire event.

5.3.6 RCS Inventory in Sump None of the RCS inventory is assumed to be deposited into the sump which is conservative for determining maximum pH. This conservatively minimizes the mass of sump fluid into which the NaTB is dissolved; therefore, increasing the pH. This is accomplished using the following input table.

Table 19: Maximum RCS inventory profile 5.3.7 RWST Inventory in Sump The minimum RWST inventory in the sump is given as 2,152,498 Ibm. This entire inventory is assumed to be deposited into the sump during the first time step. This is accomplished using the following input table.

Table 20: Minimum RWST inventory profile Time Mass (sec) . (Ibm) 0 0 1 2152498 2.592E+06 2152498 5.3.8 SIT Inventory in Sump Similar to the RCS inventory, no credit is taken for SIT inventory being in the sump since this borated water source would tend to decrease the sump pH.

L-2009-177 Turkey Point Units 3 and 4 Attachment 2 Docket Nos. 50-250 and 50-251 Page 41 of 42

  • NUMERICAL Turkey Point Units 3 & 4 Post-LOCA NAI-1396-046, Rev. 1 APPLICATIONS, INC Sump pH Report Page 40 of 41 W UJr WEt"EWN* ANDSOTWAW Table 21: Minimum SIT inventory profile Time Mass (sec) (Ibm) 0 0 1 0 2.592E+06 0 5.3.9 Sump Level In order to dissolve the borax rapidly, the containment sump level is assumed to increase to 17.243 ft within 5 seconds of the event. This ensures that the borax is rapidly added to a conservatively low sump volume described in Section 5.3.6. This sump fill level is applied to the workbook using the following table.

Table 22: Sump fill level Time Level (sec) (ft) 0 0.000 1 14.00 5 17.243 2725.8 17.243 100000.00 17.243 2.592E+06 17.243 5.3.10 Surface Dissolution Rate The surface dissolution rate is increased to an arbitrarily large value to rapidly dissolve the borax in the sump. An SDR of 10 lbm/ftZ-sec is used.

L-2009-177 Turkey Point Units 3 and 4 Attachment 2 J

Docket Nos. 50-250 and 50-251 NUMERICAL APPLI~iON5, INC.

Turkey Point Units 3 & 4 Post-LOCA Sump pH Report Page 42 of 42 NAI-1396-046, Rev. 1 Page 41 of 41 5.3.11 Sump Temperaturefor Dissolution Since an arbitrary SDR is utilized for determining the maximum pH, the sump temperature assumed for dissolution is not relevant.

6. References 6.1 CRC Handbook of Chemistry and Physics, 84 Ed.

6.2 Mesmer, R.E., C.F. Baes, Jr., and F.H. Sweeton, "Acidity Measurements at Elevated Temperatures. VI. Boric Acid Equilibria," Inorganic Chemistry, Volume 11, Number 3, pp. 537-543, 1972.

6.3 Butler, James Newton, and David R. Cogley, "Ionic Equilibrium: Solubility and pH Calculations", 2 d Ed.

6.4 WCAP-16596-NP, "Evaluation of Alternative Emergency Core Cooling System Buffering Agents," Revision 0, ADAMS Accession No. ML062570173.

6.5 Lindeburg, Michael R., Mechanical Engineering Reference Manual for the PE Exam, 12th Ed.

6.6 20 Mule Team Product Specification W-0240-U, "Borax Decahydrate SQ Granular," January 15, 1996.

6.7 Speight, James G., "Lange's Handbook of Chemistry," 16th Ed.

6.8 Faust, S. D. and 0. M. Aly, "Chemistry of Natural Waters," 1981.

6.9 De Levie, Robert, "How to Use Excel in Analytical Chemistry and in General Scientific Data Analysis," Cambridge University Press, 2004.

6.10 NUREG/CR-5950, "Iodine Evolution and pH Control," December 1992.

6.11 Pankow, James F., "Aquatic Chemistry Concepts," 1991.

6.12 Technical Specifications Change Request - Iodine Removal System, Consumer's Power Company to the Nuclear Regulatory Commission, December 29, 1994.

6.13 NUREG/CR- 1237, "Best-Estimate LOCA (Loss-of-Coolant-Accident) Radiation Signature," June 1980.

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