Text

Calculation DC00040-066, Rev 2., Spray and Sump Ph with Delta-75 Sgs.
	ML091680064
Person / Time
Site:	Summer
Issue date:	06/15/2009
From:	; South Carolina Electric & Gas Co
To:	; Office of Nuclear Reactor Regulation
References
	LAR 04-02911, RC-09-0072 DC00040-066, Rev 2
	Download: ML091680064 (80)
	v • d • e

Document Control Desk LAR 04-02911 Page 1 of 80 Attachment 2- Calculation DC00040-066, Rev 2

ES-0412 ATTACHMENT I PAGE 1 OF 2 REVISION 5 Subject Code SOUTH CAROLINA ELECTRIC AND GAS COMPANY 004 CALCULATION RECORD Page 1 of 87 Calculation Title Calculation Number Revision Status Spray and Sump pH With Delta-75 SGs DC00040-066 2 A Parent Document System Safety Class EIPartial Caic. Revision ECR-71072 N/A 01 NN [ QR [D SR ElComplete CaIc. Revision Originator Discipline Organization Date I XREF Number D. McCreary AE SCE&G 14-21-09 I CALCULATION INFORMATION Content

Description:

Calculates Post LOCA, Min/Max pH Values For RB Sprays and RB Sump Accounting For Use of Delta-75 SGs and Limiting Operating Conditions.

The sole purpose of Revision 2 is to replace Westinghouse proprietary information with non-proprietary information. No methodology, calculations, results, or conclusions have been changed.

Affected Components/Calculations/Documents:

DC0001 10-140. Equipment Qualification Zone Data S-021-018 Piping Reconciliation Completed per QA-CAR-0089-18: []This Revision [] Previous Revision 0 N/A Contains Preliminary Data/Assumptions: 0 No C] Yes, Affected Pages:

Computer Program Used: C] No 0 Yes, Validated per computer program validation process (others) vendors name 0 Yes, Validated in accordance with SAP-1040/ES-413 (ref. 3.4 & 3.5)

C] Yes, Validated [ES-04121 0 Computer Program Validation Calculation VERIFICATION 0 Continued, Attachment Scope:

Verify in accordance with ES-1 10 and ES-412.

Verifier L. Cartin Z/--

Assigned by: B. Herwio 7____-_____/- __

Engineering Personnel /Date V[erifier/Date Approv&Da -

RECORDS To Records Management Initials/Date Distribution: Calc File (Original)

ES-0412 ATTACHMENT I PAGE 2 OF 2 REVISION 5 SOUTH CAROLINA ELECTRIC & GAS COMPANY REVISION

SUMMARY

Page 2 of 87 Calculation Number DC00040-066 Revision Number. Summary Description 0 Min/Max pH for the RB spray and sump are calculated for post-LOCA conditions with the Delta-75 SGs.

1 The spray operability time, previously assumed to be 24 hours2.777778e-4 days <br />0.00667 hours <br />3.968254e-5 weeks <br />9.132e-6 months <br />, is revised to 40 days. Calculated pH values are not changed.

2 Westinghouse proprietary information on RCS volume below the hot leg is replaced with non-proprietary information to support the Alternative Source Term (AST) submittal.

Pages 10 through 17 are voided, and pages 5, 8, 9, 60, and 64 are revised.

ENGINEERS Serial 227-68-1864 TECHNICAL WORK RECORD Engineer LR in*$/

Date 24 Sept 1994 PROJECT-TITLE SPRAY/SUMP pH WITH DELTA-75 SGs TABJ163JPAGE TABLE OF CONTENTS O 1 PURPOSE ............................................. 4 2 REFERENCES .......................................... 8 3 DESIGN INPUTS ....................................... 9 4 SYSTEM OPERATING CONDITIONS.......................... 20 5 KEY ANALYSIS INPUTS ................................ 21 6 METHODOLOGY .......................................... 23 6.1 Spray Header pH During Injection ................. 23 6.2 Sump pH Calculations .............................. 29 6.3 Spray Header pH During Recirculation ........... 36 6.4 Reference pH Data .............................. 42 7 CALCULATIONS ........................................ 45 7.1 Part 1 - Impact of Delta-75 SGs ................. 45 7.1.2 Assumptions ......... .................... 45 7.1.3 Calculational Methods ...................... 45 7.1.4 Computer Calculations...................... 45 7.1.5 Min Sump pH - @ End of Injection ........ 46 7.1.6 Min Sump Equilibrium pH (W/SHST Empty).. 49 7.1.7 Min Spray pH - Recirculation (W/O SHST Empty) ................................ 53 7.1.8 Summary of Part 1 Calculations .......... 58 7.2 Part 2 Calculations ................................. 59 7.2.1 Additional Checks of Ref 4 Inputs ....... 59 7.2.2 Min Spray pH - Injection Phase ........... 63 7.2.3 Max Spray pH - Injection Phase .......... 63 7.2.4 Min Sump pH - @ End of Injection ......... 63 7.2.5 Max Sump pH - @ End of Injection ........ 63 7.2.6 Max Equilibrium Sump pH (W/SHST Empty).. 69 7.2.7 Min Equilibrium Sump pH ................... 72 7.2.8 Min Spray pH - Recirculation Phase ...... 78 7.2.9 Max Spray pH - Recirculation Phase ...... 79 7.2.10 Summary of Part 2 Calculations ......... 83 8

SUMMARY

OF RESULTS .................................. 84 9 CONCLUSIONS ......................................... 86 10 VERIFICATION ......................................... 87 DC00040-066, Rev 0

ENGINEERS Serial 227-68-1864 TECHNICAL WORK RECORD Engineer L R aL1nX Date 24 Seot 1994 PROJECT-TITLE SPRAY/SUMP DH WITH DELTA-75 SGs TAB 163 PAGE_._

1.0 PURPOSE During RF-9, the current D3 SGs will be replaced with DELTA-75 SGs. The new SGs, described in Ref 1, have a larger tube bundle and thus result in a increase of approximately 787 ft3 (total) in RCS liquid volume.

RCS volume is one contributor to the pH of the solution recirculated within containment after a LOCA. An increase in the RCS volume, which can contain highly borated water (an acidic solution), would tend to make the sump solution more acidic or decrease period. the sump pH and spray pH during the recirculation The bases section of the VCSNS Tech Spec (3/4.5.4 & 3/4.6.2.2 in Ref 6) currently states the following (changed per Ref 2):

"The limits on NaOH volume and concentration ensure a pH value of between 7.5 and 11 for the solution recirculated within containment after a LOCA."

"The limits on contained water volume and boron concentration of the RWST also ensure a pH value of between 7.5 and 11.0 for the solution recirculated within containment after a LOCA."

The limits (see enclosed Table 1) are based in part on the updated RB spray system/chemical drawdown pH analysis (G/C Calculation 2.6.1, Rev 1) described in Ref 4. This analysis is applicable to the current NSSS design which has D3 SGs.

G/C Calculation 2.6.1, Rev 1 also provides the basis for the spray pH assumptions used to qualify equipment. Current assumptions, per Ref 5, are outlined in Table 2. These are a subset of the Table 1 values. In general, higher spray pH's are utilized for qualification of electrical equipment inside containment since this is more limiting from an EQ standpoint.

This calculation will assess the impact of the Delta-75 SGs on Sump pH and Spray pH and determine if the current Tech Spec limits remains applicable and if current EQ assumptions regarding spray pH remain valid. A two part calculation will be performed.

Part 1 will maintain the assumptions and methods utilized in the Ref 4 calculation except that the RCS volume will be updated to reflect the Delta 75 SGs. In general, a benchmark of the limiting Ref 4 calculation will be done followed by a new calculation with the DC00040-066, Rev 0

ENGINEERS Serial 227-68-1864 TECHNICAL WORK RECORD Engineer L R Cartin Date 24 Sept 1994 PROJECT-TITLE SPRAY/SUMP pH WITH DELTA-75 SGs TAB 163 PAGE 5 larger RCS volume. The part 1 calculation will determine the impact of the new SGs on the plant's current licensing basis. It is intended to show that the small increase in RCS volume will have a negligible change on sump and spray pH.

During conduct of the part 1 calculation, the input assumptions and methods used in the prior Ref 4 calculations were reviewed. Several inputs and assumptions were determined to not be bounding (i.e., not the most limiting value). In part 2, this review is documented and additional calculations are performed to assess potential impacts. Although the impact of the Delta-75 SGs will be included, Part 2 of this calculation goes beyond SG replacement. It will serve as a basis for recommendations concerning additional analyses or adjustment to spray/sump pH values.

The sole purpose of Revision 2 Is to replace Westinghouse proprietax7 inforxation with non-proprieta7y information.

No methodology, calculations, results, or concluslona have been modified.

Specifically, Westinghouse correspondence that contained proprletazy infoxmation were removed from the design inputa and placed into records that are referenced 2 generally. The two instances where proprietary numbers are listed in the calculation body are replaced with generic discussions that do not affect the results of the calculation. Changes associated with revision 2 of this calculation are denoted by bold, italicized font with a revision bar.

DC00040-066, Rev 0

CGGS-39100 Page 3 TABLE 1 S REACTOR BUILDING SPRAY SYSTEM pH VANTAGE S CORE DESIGNS DESCRIPTION MINIMUM pH(1) MAXIMUM pH(2)

Spray (Injection Phase) 8.8 10.1 Sump (@ end of Injection) 7.5 8.2 Spray (Recirculation Phase) 8.7 10.2 Sump (w/SHST empty) 8.1 8.3 Assumed Conditions:

1. Minimum pH Bases RWST = 2500 ppm Boron Accumulators = 2500 p1pm Boron RCS = 2000 ppm Boron (nominal)

SHST = 20 wt/% NaOH

2. Maximum pH Bases RWST = 2300 ppm Boron Accumulators = 2200 ppm Boron RCS = 2000 ppm Boron (nominal)

SHST = 22 wt/% NaOH VC 000 16- 04& L9 0

ENGINEERS Serial 227-68-1864 TECHNICAL WORK RECORD Engineer L arin?4-"

Date 24 SeDt 1994 7

S PROJECT-TITLE SPRAY/SUMP oH WITH DELTA-75 SGs TABI6J3.PAGE TABLE 2 EQUIPMENT QUALIFICATION pH ASSUMPTIONS The chemical spray environment for which electrical equipment inside containment must be qualified is based upon the following post-accident operating periods and spray pH conditions:

Operatina Period Soray yE Range 0-2 hours (min) 8.7 - 10.2 2-24 hours (max) 8.1 - 8.3 S

Reference:

Environmental Zone Data - General Notes S-021-018, Sheet 2-2, Rev 6 S

DC00040-066, Rev 0

ENGINEERS Serial 227-68-1864 TECHNICAL WORK RECORD Engineer L R Cartin Date 24 Sept 1994

PROJECT-TITLE SPRAY/SUMP pH WITH DELTA-75 SGs TAB 163 PAGE 8

2.0 REFERENCES

1. WCAP-13480, Westinghouse Delta-75 Steam Generator Design and Fabrication Information For the Virgil C. Summer Nuclear Station, August 1992.

2. SCE&G Letter, John L. Skolds to USNRC, "Revision to Technical Specification Bases 3/4.5.4 and 3/4.6.2.2 (TSP 900007-0).

3. CGGS-39100, "Post Accident Environmental Chemistry-Reactor Building", January 12, 1990.

4. G/C Calculation 2.6.1, Rev 1, "Post LOCA Environmental chemistry - Reactor Building.

5. Environmental Zone Data - General Notes S-021-018, Sheet 2-2, Rev 6.

6. VCSNS Technical Specifications, thru Adm 114.

7. LRC TWR 106, Serial 227-68-1864, Uprate Inputs.

8. STP-375.001, Rev 4, Change B, dated 9-11-90, Refueling Water Storage Tank Level Instrument (ILT00990) Calibration.

9. lMS-18-002-1-4 3300 Gallon Sodium Hydroxide Storage Tank.

10. ECR-50328, RB Pressure & Temperature - LOCA

11. EQ / RG 1.97 DBD, Rev. 5

12. DC00020-005, Rev. 3, SG Replacement RB Temp/Press - LOCA

13. Westinghouse Letter CGE-93-OOO2SGUL, "VCSNS RSG/Uprating:

NSSS Information for BOP Calculations."f

14. Wetilnghouae Letter CGZ-93-OO27SGUL, "VCSNS RSG/Iprating: 2 Correction to Reactor Vessel Volume Data."

0 DC00040-066, Rev 0

ENGINEERS Serial 227-68-1864 TECHNICAL WORK RECORD Engineer L R Cartin Date 24 Sept 1994 PROJECT-TITLE SPRAY/SUMP pH WITH DELTA-75 SGs TAB 163 PAGE 9 3.0 DESIGN INPUTS

1. RCS Liquid Volume With New Delta 75 SGs = 9383 ft3 per CGE-93-0002SGUL (Reference 13). 12

2. Increase in RCS volume due to Delta 75 SGs - 787 ft3 per CGE-93-0002SGUL (Reference 13).

3. Volume within the RV below the HL nozzles per CGE-93-0027SGUL 2 (Reference 14).

4. G/C Calculation 2.6.1, Rev 1 for the overall approach and methodology of calculating the spray/sump pH (on microfilm: reel 1295, beginning on frame 1963).

5. RCS pH vs boron concentration per CP-614, Rev 9, Change B, Dated 2-15-94, "Reactor Coolant Chemistry Control" (figure enclosed).

6. RCS Liquid Volume with current D3 SGs @ zero plugging = 8596 ft3 per CGE-93-002SGUL (Reference 13).

12

7. Station Curve Book Figure II-1.1, Critical Boron 0 Concentration Versus Cycle Burnup Equilibrium Xenon and Samarium, Cycle 8, dated 4-20-93 (enclosed). (Typical Boron Letdown Curve)

8. Per App. B to Ref. 11, the post accident operating time corresponds to the time required to fulfill the intended safety function when subjected to any extremes of the environmental 1 conditions. Per Ref. 10, the RB spray operating time in the LOCA RB P&T analysis (Ref. 12) is 40 days.

0 This page followed by page 18. 12 DC00040-066, Rev 0

U U CALCULATED pH AT 77F FOWHE COORDINATED U/B CONTROL BAND w WCP-14 ATTACHMENT XIV PAGE 1 OF I

P'(IIle a 8.2 8

7.8 7.6 7.4 PH 1-4 AT 7

7719 6.8 6.6 6.4 LITHIUM MAX.

6.2 LITHIUM MIN.

6 5.8 0 200 400 600 800 1,000 1,200 1,400 1,600 1,800 2,000 BORON CONCENTRATION (PPM) ep-414j

")ýeoclioe e ,0014-017- CAe mfsrej e J7 O4

Figure 11-1.1 Revision Date:

Prepared By:

Verified Approved týi Critical Boron Concentration Versus Cycle Burnup Equilibrium Xenon and Samarium Cycle 8 1800 1600 1400 0 1200 "94 4J 14 1000 0

U g3 800 0

0 m

' 600 CU 0 o 400~

0 0 2000 4000 6000 8000 10000 12000 14000 16000 18000 Cycle Burnup (MWD/HTU)

Tech. Spec. Ref.: N/I Procedure Ref.z REP-109.001 Figure Rat.: Demm. Cale. DcOO20A-025 STP-201. 001 0 fe-Oco6~

0v~,AI

ENGINEERS Serial 227-68-1864 TECHNICAL WORK RECORD Engineer LR Cart*

Date 24 Sept 1994 PROJECT-TITLE SPRAY/SUMP pH WITH DELTA-75 SGS TABJL.5.LPAGE 2 Z 4.0 SYSTEM OPERATING CONDITIONS Four significant operating combinations of the RB Spray pumps and ECCS pumps were evaluated in the Ref 4 calculation. They are as 0 follows:

Ref 4 Calc Mode Case # Designatior 1 Design 2 Normal 3 Sp Pump Inoperable 4 IRHR Pump

__ ___Inoperable A drawdown analysis for each of the above cases were evaluated for minimum (20 w/o) and maximum (22 w/o) NaOH in the Rev 0 calculation. The output (time response of tank levels) is a key input to the pH calculation. Key assumptions within the' drawdown analysis were as follows:

l.The injection phase (i.e., spray suction from RWST) continues until the RWST Lo-LO Level setpoint @ 18% is reached. At that time, the recirculation phase with spray suction from the sump is assumed to begin.

2.The SHST continues to drain during the recirculation phase until all usable volume (i.e., level at centerline of the outlet nozzle) is depleted.

The calculated SHST levels at the end of injection are shown below for easy reference. The amount of NaOH injected to the sump during the injection phase is derived from the change in tank level and the tank's initial concentration.

SHST LEVEL @ THE END OF INJECTION Ref 4 Calc Case # Min NaOH Conditions Max NaOH conditions

@ 20 w/o With @ 22 w/o with Initial Level of 37' Initial Level of 38'

1 - Design 8.7 8.92

2 - Normal 8.95 6.8

3 - Sp Pump 14.2 14.8 Inoperable

4 - RHR Pump 2 2.5 Inoperable DC00040-066, Rev 0

ENGINEERS Serial 227-68-1864 TECHNICAL WORK RECORD Engineer L.R&C iAf Date 24 Sept 1994 PROJECT-TITLE SPRAY/SOMP pH WITH DELTA-75 SGs TAB 16j3PAGE 21 5.0 KEY ANALYSIS INPUTS The key assumptions/inputs from the Ref 4 calculations which will be utilized to analyze the impact of the new SGs are summarized below. These represent the plant's current basis of analysis.

BASE REF 4 ANALYSIS ASSUMPTIONS & INPUTS Component Input Value for Max Value for Kin pH Calculations pH Calculations RWST Boron, ppm 2300 2500 Initial Level, 49 51.15 ft Level @ Lo-Lo 8.92 8.92 Setpoint, ft Level Change, 40.08 42.23 ft gal/ft 9399.6 9399.6 Amount to Sump Level Change To Level change to Lo-Lo Level Lo-Lo Level Accumulator Boron, ppm 2200 2500 Capacity, ft3 1001.1 1014.2 Amount to Sump All All RCS Boron, ppm 2000 2000 Liq Volume, ft3 8430 8430 Vol below top 1400 1400 of Core, ft3 Density, lb/ft3 45.57 45.57 Amount to Sump Vol above top Vol above top of Core of Core (7030 ft3) (7030 ft3)

Ar SHST w/o 22 20 Density, lb/ft3 77.411 76.046 Weight, lb/gal 10.35 10.17 Initial Level, 38 37 ft I DC00040-066, Rev 0

ENGINEERS Serial 227-68-1864 TECHNICAL WORK RECORD Engineer L Date 24 Sept 1994 PROJECT-TITLE SPRAY/SUMP oH WITH DELTA-75 SGs TAB 163 PAGE "I El SKST Gal/ft 82.6 82.6 Level @ end of Per drawdown Per drawdown injection analysis - See analysis - See Section 4.0 Section 4.0 Amount to Sump All Usable All Usable Volume-Drained Volume-Drained Empty to Outlet Empty to Outlet Centerline Centerline RB Sprays Flow Per Pump, 2500 2500 gpm Inj Phase RWST @ 2300 RWST @ 2500 Boron, ppm Recirc Phase Sump @ 2300 Sump @ 2500 Boron, ppm _ I _I

_Alhý Q9 DC00040-066, Rev 0

ENGINEERS Serial 227-68-1864 TECHNICAL WORK RECORD Engineer Date 24 Sept 1994

PROJECT-TITLE SPRAY/SUMP oH WITH DELTA-75 SGs TAB_.16i3 PAGE I3 6.0 METHODOLOGY The calculational methods utilized in the Ref 4 calculation will be applied. Basically, three types of pH calculations are Spray Header pH During Injection Sunip pH 0 Spray Header pH During Recirculation The general methodology for these evaluations is outlined below.

6.1 Spray Header pH During Injection The injection phase is assumed to last until the RWST Lo-Lo level setpoint @ 18t is reached. During the injection phase the spray header pH is controlled by the spray flow rate, boron concentration within the RWST, the flow rate from the SHST, and NaOH concentration within the SHST. In general, the following is

. done to calculate the spray header pH.

l.Spray flow is assumed constant at 2500 gpm per pump and is up of flow from the RWST and flow from the SHST.

made 2.Initial conditions of the spray solution sources are assumed to either minimize\maximize pH (see Section 5.0).

3.The flow rates from the SHST into the spray header is taken from the drawdown analysis. From this flow and assumed NaOH concentration, the rate at which water and NaOH is added to the spray header from the SHST is determined.

4.The spray flow from the RWST is taken as the total flow (2500 gpm) minus the flow from the SHST.

5.Given the spray flow from the RWST, the amount of boric acid being added to the spray header is determined.

6.Assuming the flow streams from the RWST and SHST are perfectly mixed, the NaOH and H3BO3 molarities of the spray header

. solution is calculated.

7.Given the NaOH and H3BO 3 molarities, the pH of the spray header solution is determined from ORNL data (see Section 6.4).

The methodology is outlined in Ref 4. Since the micro-film copy of the calculation is difficult to read, the basis inputs &

equations utilized from the Ref 4 calculation will be restated to m aid in the review of this Design Calculation.

DC00040-066, Rev 0

ENGINEERS Serial 227-68-1864 TECHNICAL WORK RECORD Engineer LR i4 4 Date 24 Sept 1994 PROJECT-TITLE SPRAY/SUMP pH WITH DELTA-75 SGs TAB 163 PAGE9Zq Calculate the HB0. Molarity of the RWST Using the CRC Handbook of Chemistry & Physics, the atomic weights of the elements comprising H3 BO are:

Boron = 10.82 Hydrogen - 1.0 Oxygen - 16 Molecular Weight of H3 BO 3 - 3 + 10.82 + 48 = 61.82 Molarity = M = a-mole of solute liter of solution MH1o 3B D=fm X a-Boron x 61.82 c-H:B.,_ x 1 a-mole HCT_4C 1 n-6 -RW5WT qnl i1 R9 r--RcAnvn.

liters of RWST solution MK 3a3 oPDm x (1/10.82) a-mole HBO, 106 g-RWST Sol x 1 x _ a-water I03 g-water sp gr g-RWST Sol M13B3 = Oom X (1/10.82) a-mole H3.Q__

10,* liters MH 3 W3 = 9M x 0.0924 x sp-gr 1000 Assuming a specific gravity of 1.0 for RWST water, the boric acid molarity of the RWST solution becomes:

Mn 3S 3 = ORM*- x 0.0924, 1000 liters RWST solution Calculate the H130, Molarity of the Spray SPM 03 = RWSTM83 X liters of RWST liters of Spray liters of spray = liters of RWST + liters of SHST DC00040-066, Rev 0

ENGINEERS Serial 22761864 TECHNICAL WORK RECORD Engineer Date 24 Sept 1994 PROJECT-TITLE SPRAY/SUMP DH WITH DELTA-75 SGs TABIj63_PAGE j liters of RWST liters of sprav -liters of SHST liters of spray liters of spray

. Treating the liter ratios in terms of flow liters-RWST = 2 Where spray flow is 2500 gpm liters-spray 2500

. The boric acid molarity of the spray flow then becomes:

"M4 0 3 = OP_ x 0.0924 x 20 __H1 1000 2500 Calculate the NaOH Molarity of the Spray Solution The NaOH spray molarity can be calculated from the SHST flow and the total spray flow rate.

Using the CRC Handbook of Chemistry & Physics, the atomic weights of the elements comprising NaOH are:

Sodium = 23 Hydrogen = 1.0 Oxygen = 16 Molecular Weight of NaOH = 23 + 16 + 1 = 40

= ioo 0 . W_ N. I( g-mkoe

. Given the following from the Ref 4 calculation:

Density of water @ 70°F = 62.305 ib/ft3 per Crane Paper 410 Density of 20 w/o NaOH sol = 76.046 ib/ft3 Density of 22 w/o NaOH sol = 77.4114lb/ft3 The SHST solution specific gravity becomes:

DC00040-066, Rev 0

ENGINEERS Serial 227_-2ilUA TECHNICAL WORK RECORD Engineer LRCrtn(

Date 24 Sent 1994 PROJECT-TITLE SPRAY/SUMP DH WITH DELTA-75 SGs TAB__Ib_PAGE

@ 20 w/o, sp gr = 76.046/62.305 = 1.2205

@ 22 w/o, sp gr = 77.4114/62.305 = 1.2425 With a constant spray flow rate of 2500 gpm, the NaOH molarity for a 20 w/o solution in the SHST becomes:

@ 20 w/o, *o =, 20

1.2205

gpm,*

4 2500

@ 20 w/o, SPNVQ* = 0.002441 x gpmS11 T With a constant spray flow rate of 2500 gpm, the NaOH molarity for a 22 w/o solution in the SHST becomes:

@~ 22 w/o, Sp14,H = 1*22 4

1.2425

gPm, 2500

@ 22 w/O , 5aa = 0.002734 x gpmsHT

. Within the Ref 4 calculation, these basis equations were coded into a LOTUS spreadsheet.

a new spread sheet This spreadsheet is not available.

will be developed to do the subset Therefore, of calculations of interest herein. An example is enclosed with comments added to explain the approach. This spreadsheet evaluates the spray pH at one point in time given the SHST flow tank and SHST/RWST initial conditions. Fluid properties are consistent with the Ref 4 calculations.

0 DC00040-066, Rev 0

Calculation of - Maximum Spray pH- During Injection Phase Example Case Initial Conditions Case Dependent Inputs

RWST @ 2500 ppm boron SHST Flow = 35.3 gpm SHST @ 20 w/o Constant Inputs Spray Train Flow = 2500 gpm total of spray solution Calculations of Molarities of the Spray Solution H3BO3 Molarity = 0.0000924 x ppm x (2500 - SHST Flow)/2500 H3BO3 Molarity = 0.227738 NaOH Molarity = 0.002441 x SHST Flow 0 NaOH Molarity = 0.086167 Calculate the Spray pH using the ORNL Data Spray pH =

0 -Deo¶O64-O066 ,?PAI4 0

A:Al: 'Calculation of - Maximum Spray pH- During Injection Phase A:A2:'

A:A4: 'Example Case A:A6: 'Initial Conditions A:E6: 'Case Dependent Inputs A:A8: 'RWST @

0 A:B8: 2500 A:C8: 'ppm boron A:ES: 'SHST Flow =

A:G8: 35.3 A:H8: 'qpm A:A9: 'SHST @

A:B9: 20 A:C9: 'w/o A:A13: 'Constant Inputs A:A15: 'Spray Train Flow = 2500 gpm total of spray solution A:A19: 'Calculations of Molarities of the Spray Solution A:A21: 'H3BO3 Molarity = 0.0000924 x ppm x (2500 - SHST A:F21: 'ST Flow)/2500 A:A23: 'H3BO3 Molarity =

A:C23: 9.24E-05*BS*(2500-G8)/2500 A:A26: 'NaOH Molarity = 0.002441 x SHST Flow A:A28: 'NaOH Molarity =

A:C28: 0.002441*G8 A:A31: 'Calculate the Spray pH using the ORNL Data A:A33: 'Spray pH =

0 W00V~ O - 066 / he d0

ENGINEERS Serial 227-68-1864 TECHNICAL WORK RECORD Engineer LR in Date 24 Segt 1994 PROJECT-TITLE SPRAY/SUMP *H WITH DELTA-75 SGs TAB 163 PAGE2__

6.2 Sump pH Calculations In general terms, the following is done to determine the sump pH:

l.Sump solution sources are identified: RWST, SI Accumulators, RCS, and SHST.

2.Initial conditions of the sump solution sources are assumed to either minimize\maximize pH (see Section 5.0).

3.The amount of water, boric acid and NaOH added to the sump from each water source is then determined from the volume added and assumed density.

4.The NaOH and boric acid molarity of the sump solution is then calculated assuming perfect mixing.

5.Given the NaoH and boric acid molarity of the solution, the pH of the sump solution is determined from ORNL data (see Section 6.4).

This methodology is outlined in Ref 4. Since the micro-film copy of the calculation is difficult to read, the basis inputs and equations that are needed will be restated to aid in the review of this revision.

To convert p=m boron to w/o boric acid am:

Using the CRC Handbook of Chemistry & Physics, the atomic weights of the elements comprising H3B0 3 are:

Boron = 10.82 Hydrogen = 1.0 Oxygen = 16 Molecular Weight of H3BO3 = 3 + 10.82 + 48 61.82 1 w/o Boric Acid - 1 # boric Acid 100 # solution Boron = 10.82 of boric acid 61.82 1 w/o boric acid = 1 ibm (10,82/61.82) = 0.175 Ibm boron 100 ibm solution 100 ibm solution

=0,175 x 10= - 175 1750 ppm 100 x 104 1000000 DC00040-066, Rev 0

ENGINEERS Serial 227-68-1864 TECHNICAL WORK RECORD Engineer L__ atn "

Date 24 Sept 1994 PROJECT-TITLE SPRAY/SUMP oH WITH DELTA-75 SGs TAB j1j3PAGE 30 Therefore, for ppm level of 2000, 2300, 2500 2000 ppm = 2000/1750 = 1.143 w/o boric acid 2300 ppm = 2300/1750 = 1.314 w/o boric acid 2500 ppm = 2500/1750 = 1.428 w/o boric acid To find the pounds of boric acid in a solution of 9mW boron:

For water @ 70 F, vf = 0.01605 ft3/lbm per ASME Steam Tables 1

lbm/gal = (0.01605 ft3/lbm) (7.48 gal/ft3) = 8.329 ibm HB03 = (total gallons) (8.329 ibm/gal) ( oom )

1750 x 100 To find oounds of NaOH in the solution added by the SHST:

0 @ 20 w/o v. @ 70F = 0.01315 ft3/lbm per Met-Ed Data 1 gal = 1 aal = 10.17 lbm (0.01315 ft3/lbm) (7.48 gal/ft3)

Ibm of NaOH = (gallons from SHST)(10.17 lbm/gal)(0.2 lbm-Naoh/lb-SHST Solution)

@ 22 w/o vf @ 70F = 0.012918 ft3/ibm per Met-Ed Data 1 gal = 1 aal = 10.35 ibm (0.012918 ft3/ibm) (7.48 gal/ft3) ibm of NaOH' = (gallons from SHST)(10.35 lbm/gal)(0.22 lbm-Naoh/lb-SHST Solution)

To calculate the molarity of H,3O solution in the suzmp:

MR3B=3 ibm of _B) (453.59 a/lbm) U g-mole/61.82 a)

(lbs of solution)(453.59 g/lbm)(1 liter/1000 g)

DC00040-066, Rev 0

ENGINEERS Serial 227-68-1864 TECHNICAL WORK RECORD Engineer LRa "/

Date 24 SeDt 1994 4 PROJECT-TITLE SPRAY/SUMP oH WITH DELTA-75 SGs TAB__..-PAGE_.L

= of x (16.176 a-mole/liter)

(ibm of solution)

O To calculate the molaritv of NaOH solution in the suai:

Using the CRC Handbook of Chemistry & Physics, the atomic weights of the elements comprising NaOH are:

Sodium = 23 Hydrogen = 1.0 Oxygen = 16 Molecular Weight of NaOH = 23 + 16 + 1 = 40

= (Ibm of NaOi) (453.59 a/ibm) (1 a-mole/40 a)

(ibm of solution) (453.59 g/lbm) (1 liter/1000 g)

= (ibm of NaOH) x (25 a-mole/liter)

(lbm of solution)

O Within the Ref 4 calculation, these basis equations were coded into a LOTUS spreadsheet. This spreadsheet is not available.

Therefore, a new spread sheet will be developed to do the subset of calculations of interest herein. An example is enclosed with comments added to explain the approach. Fluid properties are consistent with the Ref 4 calculations.

DC00040-066, Rev 0

S Calculation of Minimum Sump pH at the End of Injection Case R2-1 Benchmark of Rev 1 Calculation Base Assumptions RWST @ 2500 ppm boron with initial level at high level alarm SI ACC @ 2500 ppm boron with initial level at high level alarm RCS @ 2000 ppm boron SHST @ 20 w/o NaOH with level initially at 37 ft SI Accumulators RWST @ 9399.6 gal/ft

.Vol

Vof peor Tank Tanks Density 1027.3 62.2995 3

ft3 lb/ft3 Level Change Mass of Solution Mass Boric Acid Water Mass 42.23 ft 3305850.

47226.44 lbs Mass of Solution 192000.8 lbs 3258624. lbs Mass Boric Acid 2742.868 lbs Water Mass 189257.9 lbs Reactor Coolant System SHST @ 82.6 gal/ft Density 45.57242 lb\ft3 Level Change 22.8 ft Density 76.046 lb/ft3 RCS Liq Vol 8430 ft3 Mass of Solution 19145.23 lb Vol Below Top of C 1400 ft3 Mass NaOH 3829.046 lb Water Mass 15316.18 lb Net Water to Sump 7030 ft3 320374.1 lbs WMass Boric Acid 3661.418 Water Mass 316712.6 lbs lbs lbs 1]bs Source H3BO3 NaOH Water S,olution Accum 2742.868 0 189257.9 1 92000.8 RCS 3661.418 0 316712.6 3;20374.1 RWST 47226.44 0 3258624. 3: 305850.

SHST 0 3829.046 15316.18 1I9145.23 0 Total 53630.72 3829.046 3779911. 31837371.

Calculate Molarity per the G/C Method NaOH Molarity (Total lbs NaOH)(25)/(Total lbs Solution)

= 0.024945 H3BO3 Molarity (Total lbs H3BO3)(16.167)/(Total lbs Solution)

W 0.225948 Calculate the pH using the ORNL data 0Sump pH =

I)CO00vo- 0 661 wiýý 0 h'3 ;L

A:Al: 'Calculation of Minimum Sump pH at the End of Injection A:A3: 'Case R2-1 Benchmark of Rev 1 Calculation A:A5: 'Base Assumptions A:A6: 'RWST @

A:B6: 2500 O A:C6: 'ppm boron with initial level at high level alarm A:A7: 'SI ACC 8 A:B7: 2500 A:C7: 'ppm boron with initial level at high level alarm A:A8: 'RCS @

A:B8: 2000 A:C8: 'ppm boron A:A9: 'SHST @

A:B9: 20 A:C9: 'w/o NaOH with level initially at 37 ft A:All 'SI Accumulators A:Ell: 'RWST @

A:Fll: 9399.6 A:Gll: 'gal/ft A:A13: '# of Tanks A:C13: :3 A:E13: 'Level Change A:G13: 42.23 A:H13: ' ft A:Al4: 'Vol per Tank A:C14: 1027.3 A:D14: 'ft3 A:E14: 'Mass of Solution A:G14: +FII*Gl3/7.4805*62.29934 A:A15: 'Density A:C15: 62.2995 A:D15: 'lb/ft3 A:E15: 'Mass Boric Acid A:G15: +B6/(1750*100) *GI4 A:H15: 'Ibs A:A16: 'Mass of Solution A:C16: +C13*C14*C15 A:D16: 'lbs A:E16: 'Water Mass A:G16: +G14-Gl5 A:H16: *lbs A:A17: 'Mass Boric Acid A:C17: +B7/(1750"100) *C16 A:D17: 'lbs A:E17:

A:A18: 'Water Mass A:C18: +C16-C17 A:D1B: 'lbs A:A20: 'Reactor Coolant System A:E20: 'SHST @

A:F20: 82.6 A:G20: 'gal/ft A:A22: 'Density A:C22: 45.57242 7CoCo/o -o a7/ AV A: D22: 'lb\ft3 A:E22: 'Level Change

A:G22: 22.8 A:H22: 'ft A: E2 3: 'Density A: G2 3: 76.046 A:H23: '"b/ft3 O A: A2 4: 'RCS Liq Vol A: C2 4: 8430 A:D24: "ft3 A:E24: 'Mass of Solution A:G24: +G22*F20*I/7.4805*G23 A:H24: 'lb A:A25: 'Vol Below Top of Core A: C2 5: 1400 A:D25: 'ft3 A: E2 5: 'Mass NaOH A: G2 5: +B9/100*G24 A:H25: 'lb A:C26:

A:E26: 'Water Mass A: G2 6: +G24-G25 A: H2 6: 'lb A:A27: 'Net Water to Sump A:C27: +C24-C25 A:D27: 'ft3 A:C28: +C27*C22 A: D2 8: 'lbs A:A30: 'Mass Boric Acid A:C30: +C28*(B8/175000)

A:A31: 'Water Mass A:C31: +C28-C30 A:B35: 'lbs A:C35: 'lbs A:D35: 'lbs A:E35: 'lbs A:A36: 'Source A:B36: 'H3BO3 A:C36: "NaOH A:D36: 'Water A:E36: 'Solution A:A37:

A:B37:

A:C37:

A:D37:

A:E37:

A:A38: 'Accum A:B38: +C17 A:C38: 0 A:D38: +C18 A: E3 8: +C16 A:A39: 'RCS A:B39: +C30 A:C39: 0

+C31 7tCOOa'k-o64 / vo A:D39:

A;E39: +C28 A:A40: 'RWST f~ac~31f A:B40: +GI5

O A:C40: 0 A:D40: +G16 A:E40: +G14 A:A41: 'SHST A:B41: 0 A:C41: +G25 A:D41: +G26 A:E41: +G24 A:A42:

A:B42: "

A:C42:

A:D42:

A:E42:

A:A43: 'Total A:B43: +B38+B39+B40+B41 A:C43: +C38+C39+ C40+C41 A:D43: +D38+D39+ -D40+D41 A:E43: +E38+E39+ E40+E41 A:A45: 'Calculat e Molarity per the G/C Method A:A47: 'NaOH Mol arity - (Total lbs NaOH)(25)/(Total lbs Solution)

A:A48: '

A:C48: +C43*25/E 43 A:A50: '93BO3 Molarity - (Total lbs H3BO3)(16.167)/(Total lbs Solution)

A:A51: "

A:C51: +B43*16.1 67/E43 A:A54: 'Calculat e the pH using the ORNL data

A:B56: 'Sump pH U TOOoqo- 06( ,2*Voý

ENGINEERS Serial 227-68-1864 TECHNICAL WORK RECORD Engineer iLRCrin)9-Date 24 Sept 1994

PROJECT-TITLE SPRAY/SUMP RH WITH DELTA-75 SGs TAB_..1_jAGE L6 6.3 Spray Header pH During Recirculation The pH in the spray header during recirculation is evaluated in

. the Ref 4 calculation assuming the RB pressure is 0.0 psig and the SHST continues to drain. This is noted as a conservative approach since it leads to max pH values. The general approach taken in the Ref 4 calculation will be applied. Key elements are:

l.Sump solution sources are identified: RWST, SI Accumulators, RCS, and SHST.

2.Initial conditions of the sump solution sources are assumed to either minimize\maximize pH (see Section 5.0).

3.The makeup of the sump solution (amount of solution & amount of NaOH) are assumed constant and equal to those at the end of the injection phase. No adjustment in the sump conditions during recirculation is made even though NaOH is being gravity feed into the spray as the SHST empties.

4.The sump boron level is set equal to the RWST value and held constant (i.e., at 2500 ppm boron when min pH is being evaluated and 2300 ppm when max pH is being evaluated).

O 5.Spray flow is assumed constant at 2500 gpm and is made up of flow from the sump and flow from the SHST.

6.The flow rate from the SHST into the spray header is taken from the drawdown analysis. From this flow and assumed NaOH concentration, the rate at which water and NaOH is added to the spray header from the SHST is determined.

7.The spray flow from the sump is taken as the total flow (2500 gpm) minus the flow from the SHST.

8.Given the spray flow rate from the sump & the amount of NaOH in the sump, the rate at which NaOH is added to the spray header from the sump is calculated assuming the sump solution is homogeneously mixed.

9.Given the spray flow from the sump & assumed boron concentration, the rate at which H3BO 3 is added to the spray header from the sump is calculated assuming the sump solution is

. homogeneously mixed.

10.Assuming the flow streams from the sump and SHST are perfectly mixed, the NaOH and H3BO 3 molarities of the spray header solution are calculated.

ll.Given the NaOH and H3BO3 molarities, the pH of the spray header solution is determined from ORNL data (see Section 6.4).

. The methodology is outlined in Ref 4. Since the micro-film copy of the calculation is difficult to read, the basis inputs and DC00040-066, Rev 0

ENGINEERS Serial 227-68-1864 TECHNICAL WORK RECORD Engineer Date 24 Sept 1994 PROJECT-TITLE SPRAY/SUMP DH WITH DELTA-75 SGs TAB 163 PAGE._.i equations that are needed will be restated to aid in the review of this revision.

In min-mode with NaOB A 20 w/o Calculate ibm/min of NaOH injected into the spray header from SHST given SHST tank flow in gpm from the drawdown analysis:

NaOH Injected = aal SHST In-i x 10.17 ibm NaOH Soln x 0.2 ibm NaOH min gal NaOH Soln ibm Soln NaOH

= (gpm)Is~T x 2.034, lbm-NaOH/min Given the ibm of NaOH in the sump, the total ibm of sump solution, and a constant spray flow rate of 2500 gpm, calculated the ibm/min of NaOH injected into the spray header by the spray pump upstream of the SHST addition point.

NaOH Sprayed - 1bm-NaOH jn x 8.329 Ibm Au ppm son x (2500 - gpm,.) gal sump s-an, I Ibm soln in sump gal sump soln min min

. The total NaOH into the spray header then becomes the sum of the NaOH injected from the SHST and from the sump by the spray pump.

Header NaOH = NaOH Injected + NaOH Sprayed, ibm-NaOH min Knowing the mass addition rate to the header, the NaOH molarity of the header solution is calculated:

M30s=

S (Header NaOH,ibm-NaOH) x 453.59 a minm ibm 2500 aal-soln min x 3.785 gal 1. x 40 g-mole a_

= 0.001198 x (Header NaOH), a-mole 1

where Header NaOH Ibm-NaOH/min In preparation to calculate the boric acid molarity, the ibm/min of H3BO3 added to the spray header from the sump is calculated DC00040-066, Rev 0

ENGINEERS Serial 227-68-1864 TECHNICAL WORK RECORD Engineer LR art.in/*

Date 24 Sept 1994 SPRAY/SUMP oH WITH DELTA-75 SGs 5 0 PROJECT-TITLE given the gpm flow of sump solution and ppm level of the sump TAB_163LPAGE solution.

H3BO) Sprayed = aal BO,.ol x 8. 329 ibm ' Hi0_ x 12m..

min gal H3B0 3 soln 1750 x 100

= (ppm) (4.7594 X 10-5) gpm'ump- 3 ,'oi H min where gpm,up3B3 soln = 2500 - (gpm) SHST The molarity then becomes:

MHBOJ = (H3BO, Sprayed,lm-jfQ) x 453.59 a x I al. x 1 g-zmol min ibm 3.785 1 61.82 g 2500 aajsoln min

= (7.754 x 10-4) x HBO3 Sprayed, a 1

where H3B0 3 Sprayed = ib Ql min In max mode where NaOH is 22 w/o use 0.22 ibm NaOH & 10.35 ibm NaOH soln ibm soln NaOH gal Naoh soln NaOH Injected = aal NaOH Soln Inj x 10.35 ibm NaOR Soln x 22 Ibm NaOM ain gal NaOH Soln ibm Soln NaOH

= 2.277 x (gpm) s*, , ibm-NaOH min With the above change the remaining equations remain the same.

The above equation were also programmed in a Lotus spreadsheet which calculated the spray header pH for one point in time. An example is enclosed and comments are provided to illustrate the method.

DC00040-066, Rev 0

Calculation of -Minimum Spray pH- During Recirculation Prior to Emptying The SHST Case R2-5: Benchmark of Rev 1 Calculation Initial Conditions Case Dependent Inputs RWST @ 2500 ppm boron SHST Flow = 21.5 gpm SI ACC @ 2500 ppm boron NaOH in Sump = 3829.04 ibm RCS @ 2000 ppm boron Total Sump Soln = 3837370. ibm SHST @ 20 w/o NaOH Sump ppm = 2500 ppm Constant Inputs Spray Train Flow = 2500 gpm total of spray solution

.Calculations NaOH Injected = 2.034 x NaOH Flow

- 43.731 ibm/min NaOH Sprayed - NaOH in Sump x 8.329 x (2500 -NaOH Flow)

Total Sump Soln

= 20.59861 ibm/min

= NaOH Injected + NaOH Sprayed W Total Into HrdNaOH

= 64.32961 lbm/min NaOH Molarity = 0.001198 x (Total NaOH Into Hrd) 0.077066 g-mole/l H3BO3 Sprayed - 4.7594E-05 x (2500 - NaOH Flow)(sump ppm) 294.9043 ibm/min

H3BO3 Molarity = 7.754E-04 x H3BO3 Sprayed 0.228668 Calculate the pH using the ORNL Data Spray pH =

DCOO 40-0 4, A6v'

W A:Al: 'Calculation of -Minimum Spray pH- During A:A2: 'R ecirculation Prior to Emptying The SHST A:A4: 'C 'ase R2-5: Benchmark of Rev 1 Calculation A:A6: 'I nitial Conditions

. A:E6:

A:A8:

"C ase Dependent Inputs

'R A:B8: 25 00 MIST @

A:C8: 'p pm boron A:E8: ' SHST Flow A:G8: 21 .5 A:H8: 'gpm A:A9: ' S I ACC @

A:B9: 25 00 A:C9: 'p pm boron A:E9: 'N aOH in Sump T~COoao4.O~~ ?do A:G9: 38 29.04 A:H9: '1 bm A:AlO: RCS @

PaAgt4 A:BO: 2 000 A:CIO: ppm boron A:E10: Total Sump Soln A:GlO: 3 837370.18 A:HI0: Ibm A:Al1: SHST @

A:BII: 2 0 A:C1I: w/o NaOH A:Ell: Sump ppm A:Gll: 2 500 A:Hll: ppm A:AI3: Constant Inputs A:A15: Spray Train Flow = 2500 gpm total of spray solution A:A19: Calculations A:A21: NaOQ Injected - 2.034 x NaO0 Flow A:B2 2:

A:B23:

A:C23: 2 . 034*G8 A:D23: ibm/min A:A26: NaOH Sprayed NaOQ in Sump x 8.329 x (2500 - NaOR Flow)

A:C27:

A:C28: Total Sump Soln

. A:C30:

A:D30: +G9/GIO*8.329* (250w3-G8)

A:E30: ibm/min A:A33: Total NaOH = NaOH Injected + NaOH Sprayed A:A34: Into Hrd A:C35:

A:D35: +C23+D30 A:E35: lbm/mrin A:A38: NaOH Molarity = 0.001198 x (Total NaOH Into Hrd)

A:C40:

A:D40:0 001198*D35 A:E40: " g-mole/l A:A43: " H3B03 Sprayed = 4.7594E-05 x (2500 - NaOH Flow)(sump ppm)

. A:B45:

A:C45:

A:D45: 4.7594E-05) * (2500-G8) *Gl1

A:E45: 'ibm/min A:A48: 'H3BO3 Molarity - 7.754E-04 x H3B03 Sprayed A:C50: '-

A:D50: (0.0007754)*D45 A:A53: 'Calculate the pH using the ORNL Data A:A55: 'Spray pH -

Th~ooo q0 oý Ac va Ja.4 1

ENGINEERS Serial 227-68-1864 TECHNICAL WORK RECORD Engineer Date 24 Sept 1994 PROJECT-TITLE SPRAY/SUMP oH WITH DELTA-75 SGs TAB 163PAGEi*

6.4 Reference pA Data The RB spray and sump pH conditions are determined,, given the NaOH and H3B0 3 molarities, from data in ORNL-2984 based on 25°C or 770F. The reference figures are contained in Ref 4. They are also enclosed, for information only, to help facilitate review of this calculation.

The enclosed curves are viewed as "crude" for the desired resolution of the these calculation. However, they are the basis for the current analysis and do represent the best information available.

DC00040-066, Rev 0

r- 1 3r-n ý - -N r I U -f P.ec I i f-ale 6,A Cov" ~-1r -

W.O. 04 4.4 v0 ooc flRNL-OWG 70-6493 14 ~7-9 13 11 to 9

6 3 Io-i 10*

iO-I !0-61 10o- I0-4 1o0 I SOO4 MYOROXIDE (moles/liter)

Fig. 4.1. pH Values for F 3BO3-NaOH Solutions. (From data supplied by Stone and Webster Engineering Corpcration and obtained from the follcv-ing references:

a. Kirk-OtAver Encydc*cvedia of Chemical Techno logy, 2nd ed.,

Interscience, New York, 1969.

b. S. J. Kiehl and R. D. Loucks, Syster.ic pH Values of Some Solutions in the Alkaline Range, Trans. Electroche'. Soc., 67: 81-100 (1935).

c. I. M. Kolthoff aznd W. Bosch, The Abnormal r:; Change in Boric Acid-Soda Liquor ".!xtures of Different Dilutions and Ter.ue:'-.

Rec. Tray. Chim., 406: 180-18S (1927).)

ee(-rZA d Jr- he 0--O'&,,.

c6~r' epvaIae~ al zS-0C' A-40ý

-7 is 1f 1.

I,,, ~- I :. -

I 4 1 . .

1*-

~ A -1 7 11G4 K'

0ic~o'0 04,'6/

.4

~ b.

'L L NO. 340-L210 0ICTzGfN t4F4APH PAPEV c.1tZrZCrICN COMPcII.ATION OEM I -LO Gl3AP I I HM I C J 2 CYCLES x I0aOIVIBiCINIJ PER #Nr.H

(. j. 0C -'.

(I' K:....... I ..........

I a .. . ..

s"' /IA

~p:~&a111

/.......~A ...

~... . ... .. . * ~ ~ ~

10 a.~ 1.,..... I ......

I

. 1

1 II J

O.ol N'AOH t0APL~rYT (nIOZr IJ-7 a, 3 24 vo A6,11ý

ENGINEERS Serial 227-68-1864 TECHNICAL WORK RECORD Engineer C__ ti4" Date 24 Seat 1994 PROJECT-TITLE SPRAY/SUMP oH WITH DELTA-75 SGs TAB_.JLPAGE 7.0 CALCULATIONS A two part calculation will be performed as described in Section 1.0.

. 7.1 Part 1 - Impact of Delta-75 SGs The increase in RCS volume due to the Delta-75 SGs will have no effect on the spray pH during the injection phase since it is totally dependent on the spray flow off the RWST and drawdown of the SHST. At the end of the injection phase, the spray suction is transferred to the sump. The additional mass of the Delta-75 SG will tend to decrease the sump pH at the onset of sump recirculation. The lower sump pH will in-turn decrease the spray pH until the SHST empties and, and in the long term the equilibrium sump/spray pH will also be lower. Therefore, the increase in RCS volume due to the Delta 75 SGs will challenge the following minimum pH limits defined in Table 1:

Sump (@ end of Injection) 7.5 Spray (Recirculation Phase) 8.7 Sump (w/SHST empty) 8.1 The maximum pH limits in Table 1 are conservative for the increase in RCS volume due to the Delta-75 SGs and are therefore not challenged.

7.1.2 Assumptions The input assumptions made in the Ref 4 calculation will be maintained. Major inputs and assumptions are itemized in Section 4.0 and 5.0.

7.1.3 Calculational Methods

. The calculation method utilized in the Ref 4 calculation, as outlined in Section 6.0, will be maintained. Correct application of the methodology is verified via conduct of a benchmark to the limiting pH condition from the Ref 4 calculation. During the course of the benchmarking activity, several errors were discovered. These are corrected, assessed for impact, and documented.

. 7.1.4 Computer Calculations Lotus based worksheets were developed for these calculation as outlined in Section 6.0 based on the Ref 4 methodology. These worksheets are automated "hand calculations" easily verified with

__ a calculator. Their accuracy is cross-checked against the Ref 4 calculations via the benchmark activities.

DC00040-066, Rev 0

ENGINEERS Serial 227-68-1864 TECHNICAL WORK RECORD Engineer L_ ai*i*

Date 24 Sept 1994 PROJECT-TITLE SPRAY/SUMP OH WITH DELTA-75 SGs TAB_.5I..PAGE_+_

7.1.5 Min Sump pH - @ the End of Injection Within the Ref 4 calculation, the min sump pH (7.5) is calculated to occur at the onset of sump recirculation prior to the depletion of the SHST. This occurs for min NaOH initial conditions, maximum boron initial conditions in the RWST and SI Accumulators, with one spray pump operating and corresponds to Case 3 of the Ref 4 calculation.

. The limiting Ref 4 calculation is repeated in the enclosed Lotus spreadsheet entitled Case R2-1. The Case R2-1 results are essentially identical (small roundoff differences only) to those in the Ref 4 calculation. Case R2-1 is thus considered a good benchmark.

The Lotus spreadsheet entitled Case R2-2 repeats the Case R2-1 calculation except that the RCS volume of 8430 ft3 is increased to 9383 ft3 to reflect the impact of the Delta 75 SGs. Using the ORNL data of Section 6.4 and the calculated molarities, the sump solution pH is estimated to remain approximately 7.5. Therefore, the increase in RCS volume due to the larger SGs has a negligible impact on prior calculations performed to determine the minimum 0 sump pH at the end of the injection phase.

0 0

0 DC00040-066, Rev 0

0 Calculation of Minimum Sump pH at the End of Injection Case R2-1 Benchmark of Rev 1 Calculation

. Base Assumptions RWST @

SI ACC @

2500 2500 ppm ppm boron with initial level at high level alarm boron with initial level at high level alarm RCS @ 2000 ppm boron SHST 8 20 w/o NaOH with level initially at 37 ft SI Accumulators RWST @ 9399.6 gal/ft

.

of Tanks Vol per Tank 1027.3 3

ft3 Level Change Mass of Solution 42.23 ft 3305850.

Density 62.2995 lb/ft3 Mass Boric Acid 47226.44 lbs Mass of Solution 192000.8 lbs Water Mass 3258624. lbs Mass Boric Acid 2742.868 lbs Water Mass 189257.9 lbs Reactor Coolant System SHST @ 82.6 gal/ft Density 45.57242 lb\ft3 Level Change 22.8 ft Density 76.046 lb/ft3 RCS Liq Vol 8430 ft3 Mass of Solution 19145.23 lb Vol Below Top of C 1400 ft3 Mass NaOH 3829.046 lb Water Mass 15316.18 lb Net Water to Sump 7030 ft3 320374.1 lbs Mass Boric Acid 3661.418!

Water Mass 316712.6 lbs lbs lbs lbs VCooo'/o-O09, 4 t V Source H3B03 NaOH Water Solution Accum 2742.868 0 189257.9 192000.8 RCS 3661.418 0 316712.6 320374.1 RWST 47226.44 0 3258624. 3305850.

SHST 0 3829.046 15316.18 19145.23

. Total 53630.72 3829.046 3779911. 3837371.

Calculate Molarity per the G/C Method NaOH Molarity = (Total lbs NaOH)(25)/(Total lbs Solution)

= 0.024945 H3B03 Molarity = (Total lbs H3BO3)(16.167)/(Total lbs Solution)

= 0.225948 Calculate the pH using the ORNL data 0 SumrpPH= 1

Calculation of Minimum Sump pH at the End of Injection Case R2-2: Update to Case R2-1 To Reflect Delta-75 SGs Base Assumptions RWST @ 2500 ppm boron with initial level at high level alarm SI ACC 8 2500 ppm boron with initial level at high level alarm RCS @ 2000 ppm boron SHST @ 20 w/o NaOH with level initially at 37 ft 0 SI Accumulators RWST @ 9399.6 gal/ft

of Tanks 3 Level Change 42.23 ft Vol per Tank 1027.3 ft3 Mass of Solution 3305850.

Density 62.2995 lb/ft3 Mass Boric Acid 47226.44 lbs Mass of Solution 192000.8 lbs Water Mass 3258624. lbs Mass Boric Acid 2742.868 lbs Water Mass 189257.9 lbs Reactor Coolant System SHST @ 82.6 gal/ft Density 45.57242 lb\ft3 Level Change 22.8 ft Density 76.046 lb/ft3 RCS Liq Vol 9383 ft3 Mass of Solution 19145.23 lb Vol Below Top of C 1400 ft3 Mass NaOH 3829.046 lb Water Mass 15316.18 lb Net Water to Sump 7983 ft3 363804.6 lbs Mass Boric Acid 4157.767 Water Mass 359646.8 lbs lbs lbs lbs Source H3B03 NaOH water Solution TDC6o o/0 -4,D 66/

Accum 2742.868 0 189257.9 192000.8 RCS 4157.767 0 359646.8 363804.6 RWST 47226.44 0 3258624. 3305850.

SHST 0 3829.046 15316.18 19145.23 Total 54127.07 3829.04.6 3822845. 3880801.

Calculate Molarity per the G/C Method NaOS Molarity = (Total lbs NaOB)(25)/(Total lbs Solution)

= 0.024666 H3B03 Molarity = (Total lbs H3BO3)(16.167)/(Total lbs Solution)

= 0.225487 Calculate the pH using the ORNL data SumppH : 7. g S1

ENGINEERS Serial 227-68-1864 TECHNICAL WORK RECORD Engineer Car.in Date 24 Sept 1994 PROJECT-TITLE SPRAY/SUMP DH WITH DELTA-75 SGs TAB.163 PAGE 7.1.6 Min Sump Equilibrium pH (w/SEST Empty)

The Ref 4 calculation assumes that the SHST continues to drain

. during the recirculation period in order to maximize the sump/spray pH (i.e., conservative from a EQ standpoint).

of 8.1 is calculated in the Ref 4 calculation for min NaOH A value initial conditions in the SHST and maximum boron initial conditions in the RWST and SI Accumulators.

. The limiting Ref 4 calculation is repeated in the enclosed Lotus spreadsheet entitled Case R2-3. The Case R2-3 results do not agree with the Ref 4 calculation. The breakdown of mass of solution, mass of boric acid, water mass and NaoH mass of the individual sources of sump solution are essentially identical (small roundoff differences only) to those in the Ref 4 calculation; however, when the individual components were summed, it appears that the spreadsheet in the Ref 4 calculation has an error. The calculations agree on the lbm of NaOH from the SHST, lbm HBO3 from RWST and the total lbm of solution in the sump.

However, differences are present for the total H3BO 3 in the sump and total lbs of water in the sump. The error in the Ref 4 calculation is due to use of the wrong lbs of H3 BO, from the RWST

. being used in the summation to calculate the total amount of boric acid in the sump. The lbs of boric acid from the RWST was based on the calculated value assuming an initial level of 49 ft as opposed to 51.15 feet:

Total H3BO3 = SI Acc + RCS + RWST

= 2642.87+3661.42+44822.05

= 51226.34 Without the spread sheet, I cannot be certain how the total lbm of water in the sump was calculated in the Ref 4 calculation since the correct total lbm of sump solution was calculated. It can, however, be derived as follows:

lbm sump water = Total lbm Sump Solution - lbm H3BO 3 - lbm NaOH

= 3849293.94-51226.34-6213.79

= 3791853.81 lbm Nonetheless, the Case R2-3 calculation corrects this discrepancy S and the sump pH is calculated to be 8.0 as opposed to 8.1 in the Ref 4calculation. Since the intent of the ref 4 calculation was to maximize the pH for EQ consideration, the use of 8.1 would continue to be conservative..

The Lotus spreadsheet entitled Case R2-4 repeats the Case R2-3 calculation except that the RCS volume of 8430 ft3 is increased O to 9383 ft3 to reflect the impact of the Delta 75 SGs.

ORNL data and the calculated molarities, the sump solution pH is Using the DC00040-066, Rev 0

ENGINEERS Serial 227-68-1864 TECHNICAL WORK RECORD Engineer L _ a_ n 1*

Date 24 Sept 1994 0 PROJECT-TITLE SPRAYI.SUMP 2H WITH DELTA-75 SGs estimated to remain approximately 8.0.

TAB~j§._PAGE_50_

Therefore, the increase in RCS volume due to the larger SGs has a negligible impact on prior calculations performed to determine the minimum equilibrium sump pH after the SHST empties.

DC00040-066, Rev 0

Calculation of Minimum Equilibrium Sump pH After The SHST Empties Case R2 Benchmark of the Rev 1 Calculation e Base Assumptions RWST @ 2500 ppm boron with initial level at high level alarm SI ACC @ 2500 ppm boron with initial level at high level alarm RCS 0 2000 ppm boron SHST @ 20 w/o NaOH with level initially at 37 ft SI Accumulators RWST @ 9399.6 gal/ft

of Tanks 3 Level Change 42.23 ft Vol per Tank 1027.3 ft3 Mass of Solution 3305850.

Density 62.2995 lb/ft3 Mass Boric Acid 47226.44 Ibs

. Mass of Solution Mass Boric Acid Water Mass 192000.8 2742.868 189257.9 Ibs lbs lbs Water Mass 3258624. Ibs Reactor Coolant System SHST @ 82.6 gal/ft Density 45.57242 lb\ft3 Level Change 37 ft Density 76.046 lb/ft3 RCS Liq Vol 8430 ft3 Mass of Solution 31069.01 lb Vol Below Top of C 1400 ft3 Mass NaOB 6213.803 lb Water Mass 24855.21 lb Net Water tQ Sump 7030 ft3 320374.1 lbs Mass Boric Acid 3661.418 Water Mass 316712.6 e

lbs lbs lbs lbs Source H3BO3 NaOH Water Solution 0V0,1 40- 04ý , kc Accum 2742.868 0 189257.9 192000.8 RCS RWST 3661.418 47226.44 0

0 316712.6 3258624.

320374.1 3305850.

Pajýx 51 SHST 6213.803 24855.21 31069.01 Total 53630.72 6213.803 3789450. 3849294.

Calculate Molarity per the G/C Method NaOH Molarity - (Total lbs NaOH)(25)/(Total lbs Solution)

= 0.040356 H3B03 Molarity = (Total-ibs H3BO3)(16.167)/(Total lbs Solution)

= 0.225248 Calculate the pH using the ORNL data Sump pH = >&.0

Calculation of Minimum Equilibrium Sump pH After The SHST Empties Case R2-4: Update of Case R2-3 Calculation To Reflect Delta 75 SGs Base Assumptions RWST @ 2500 ppm boron with initial level at high level alarm SI ACC @ 2500 ppm boron with initial level at high level alarm RCS @ 2000 ppm boron SHST @ 20 w/o NaOH with level initially at 37 ft SI Accumulators RWST @ 9399.6 gal/ft

of Tanks 3 Level Change 42.23 ft Vol per Tank 1027.3 ft3 Mass of Solution 3305850.

Density 62.2995 lb/ft3 Mass Boric Acid 47226.44 lbs Mass of Solution 192000.8 lbs Water Mass 3258624. lbs Mass Boric Acid 2742.868 lbs Water Mass 189257.9 lbs Reactor Coolant System SHST @ 82.6 gal/ft Density 45.57242 lb\ft3 Level Change 37 ft Density 76.046 lb/ft3 RCS Liq Vol 9383 ft3 Mass of Solution 31069.01 lb Vol Below Top of C 1400 ft3 Mass NaOH 6213.803 lb Water Mass 24855.21 lb Net Water to Sump 7983 ft3 363804.6 lbs Mass Boric Acid 4157.767 Water Mass 359646.8 lbs lbs lbs lbs Source H3BO3 NaOH Water Solution DV6oo qO -o6 l,*'I Accum 2742.868 0 189257.9 192000.8 RCS 4157.767 0 359646.8 363804.6 RWST 47226.44 0 3258624. 3305850.

SHST 0 6213 .803 24855.21 31069.01 Total 54127.07 6213 .803 3832384. 3892725.

Calculate Molarity per the G/C Method NaOH Molarity = (Total lbs NaOH)(25)/(Total lbs Solution)

= 0.039906 H3BO3 Molarity = (Total lbs H3BO3)(16.167)/(Total lbs Solution)

= 0.224796 Calculate the pH using the ORNL data Sump pH = Ž 8.0

ENGINEERS Serial 227-68-1864 Engineer LR. t

TECHNICAL WORK RECORD Date 24 Sent 1994 PROJECT-TITLE SPRAY/SUMP OH WITH DELTA-75 SGs TAB__.163 PAGE.A" 7.1.7 Kin Spray pS - Recirculation (W/O SEST Empty)

The SHST does not empty during the injection period. Within the

. Ref 4 calculation, the SHST is assumed to drain until empty.

During the drain period, the spray pH is controlled primarily by the flow rate from the SHST. The drawdown analysis shows that the SHST drain flow slowly decreases thus resulting in a similar decrease in spray pH. The minimum value occurs just prior to emptying the SHST. A min spray pH of 8.7 is calculated for cases 2a, 2b, and 3 within the Ref 4 calculation. Cases 3 and 2a will be evaluated.

The Ref 4 calculation for case 3 is repeated in the enclosed Lotus spreadsheet entitled Case R2-5. The Case R2-5 results are essentially identical (small roundoff differences only) to those in the Ref 4 calculation. Case R2-5 is thus considered a good benchmark. It is noted that the amount of sump solution is assumed to remain constant and equal to that calculated at the end of the injection phase and that the boron concentration of the sump solution is set equal to 2500 ppm. Both assumptions would tend to minimize the spray pH.

. The Lotus spreadsheet entitled Case R2-6 repeats the Case R2-5 calculation to reflect the impact of the Delta 75 SGs.

larger RCS volume will increase the amount of sump solution and The its boron level. However, since the sump solution boron level is assumed constant at 2500 ppm, the impact of the larger SGs will be limited to an increase in the total amount of sump solution.

Per the Case R2-2 calculation, the new total amount of sump solution is 3,880,801 lbs (an increase of 43431 lbm). Case R2-6 reflects this change. Using the ORNL data and the calculated molarities, the sump solution pH is estimated to remain approximately 8.7.

The Ref 4 calculation for case 2a is repeated in the enclosed Lotus spreadsheet entitled Case R2-7. The Case R2-7 results are essentially identical (small roundoff differences only) to those in the Ref 4 calculation. Case R2-7 is thus considered a good benchmark. The Lotus spreadsheet entitled Case R2-8 repeats the Case R2-7 calculation to reflect the impact of the Delta 75 SGs.

The total amount of sump solution is increase by 43431 lbm to Odata 3,885,209.61 ibm in the Case R2-8 calculation. Using the ORNL and the calculated molarities, the sump solution pH is estimated to remain approximately 8.7.

Therefore, based on the calculation described above, it is concluded that the increase in RCS volume due to the larger SGs has a negligible impact on prior calculations performed to O determine the minimum spray pH during the recirculation period prior to emptying the SHST.

DC00040-066, Rev 0

Calculation of -Minimum Spray pH- During Recirculation Prior to Emptying The SHST

. Case R2-5: Benchmark of Rev 1 Calculation Initial Conditions Case Dependent Inputs RWST @ 2500 ppm boron SHST Flow - 21.5 gpm SI ACC @ 2500 ppm boron NaOH in Sump - 3829.04 lbm RCS @ 2000 ppm boron Total Sump Soln - 3837370. ibm SHST @ 20 w/o NaOH Sump ppm. 2500 ppm Constant Inputs Spray Train Flow - 2500 gpm total of spray solution 0 Calculations NaOH Injected = 2.034 x NaOH Flow

= 43.731 ibm/min NaOH Sprayed = NaOH in Sump x 8.329 x (2500 - NaOH Flow)

Total Sump Soln 20.59861 Ibm/min 0 Total NaOH = NaOH Injected + NaOH Sprayed Into Hrd

= 64.32961 ibm/min NaOH Molarity = 0.001198 x (Total NaOH Into ard)

= 0.077066 g-mole/l H3B03 Sprayed 4.7594E-05 x (2500 - NaOH Flow)(sump ppm)

= 294.9043 ibm/min 0 H3B03 Molarity = 7.754E-04 x H3B03 Sprayed

= 0.228668 Calculate the pH using the ORNL Data -Deooo'#4-0~ 2cv0 Spray pH = 8.

Calculation of -Minimum Spray pH- During Recirculation Prior to Emptying The SHST Case R2-6: Update to Case R2-5 to Reflect Delta-75 SGs Initial Conditions Case Dependent Inputs RWST @ 2500 ppm boron SHST Flow = 21.5 gpm SI ACC @ 2500 ppm boron NaOH in Sump = 3829.04 ibm RCS @ 2000 ppm boron Total Sump Soln - 3880801 ibm

SHST @ 20 w/o NaOH Sump ppm 2500 ppm Constant Inputs Spray Train Flow = 2500 gpm total of spray solution Calculations NaOH Injected = 2.034 x NaOH Flow

= 43.731 lbm/min NaOH Sprayed - NaOH in Sump x 8.329 x (2500 - NaOH Flow)

Total Sump Soln

= 20.36809 ibm/min Total NaOH = NaOH Injected + NaOH Sprayed Into Hrd

=64.09909 ibm/min NaOH Molarity = 0.001198 x (Total NaOH Into Hrd)

= 0.076790 g-mole/l H3BO3 Sprayed = 4.7594E-05 x (2500 - NaOH Flow) (sump ppm)

= 294.9043 Ibm/min H3BO3 Molarity - 7.754E-04 x H3B03 Sprayed

- 0.228668 Calculate the pH using the ORNL Data Spray pH Z 8.7 79Cc0oa 4-0 41 *k,/o 6~y5-5

Calculation of -Minimum Spray pH- During Recirculation Prior to Emptying The SHST S Case R2-7: Benchmark of Rev 1 Calculation Case 2a Initial Conditions Case Dependent Inputs RWST @ 2500 ppm boron SHST Flow - 19 gpm SI ACC R 2500 ppm boron NaOH in Sump 4710.72 Ibm

RCS 8 2000 ppm boron Total Sump Soln = 3841778. Ibm SHST @ 20 w/o NaOH Sump ppm 2500 ppm Constant Inputs Spray Train Flow - 2500 gpm total of spray solution Calculations NaOH Injected 2.034 x NaOH Flow 38.646 lbm/min NaOH Sprayed NaOH in Sump x 8.329 x (2500 - NaOH Flow)

Total Sump Soln 25.33813 lbm/min Total NaOH = NaOH Injected + NaOH Sprayed Into Hrd

- 63.98413 ibm/min NaOH Molarity =B 0.001198 x (Total NaOH Into Hrd) 0.076652 g-mole/l H3B03 Sprayed = 4.7594E-05 x (2500 - NaOH Flow) (sump ppm)

= 295.2017 ibm/min H3BO3 Molarity = 7.754E-04 x H3B03 Sprayed

= 0.228899 S Calculate the pH using the ORNL Data

-P 0cv40-0 6,A'&ývQ Spray pH 6.7 0

Calculation of -Minimum Spray pH- During Recirculation Prior to Emptying The SHST

. Case R2-8: Update of Case R2-7 to Reflect the Delta-75 SGs Initial Conditions Case Dependent Inputs RWST @

2500 ppm boron SHST Flow - 19 gpm SI ACC @ 2500 ppm boron NaOH in Sump = 4710.72 ibm RCS @ 2000 ppm boron Total Sump Soln = 3885209. ibm SBST @ 20 w/o NaOH Sump ppm = 2500 ppm Constant Inputs Spray Train Flow - 2500 gpm total of spray solution Calculations NaOH Injected = 2.034 x NaOH Flow a 38.646 ibm/min NaOH Sprayed a NaOH in Sump x 8.329 x (2500 - NaOH Flow)

Total Sump Soln

= 25.05488 lbm/min Total NaOH = NaOH Injected + NaOH Sprayed Into Hrd 63.70088 ibm/min NaOH Molarity - 0.001198 x (Total NaOH Into Hrd)

= 0.076313 g-mole/l H3B03 Sprayed = 4.7594E-05 x (2500 - NaOR Flow)(sump ppm) a 295.2017 Ibm/nin H3BO3 Molarity = 7.754E-04 x H3BO3 Sprayed

= 0.228899 Calculate the pH using the ORNL Data

?COO 040- 0 66, 45Vo Spray pH =

ENGINEERS Serial 227-68-1864 TECHNICAL WORK RECORD Engineer L Date 24 Sent 1994 5

0 PROJECT-TITLE 7.1.8 SPRAY/SUMP UH WITH DELTA-75 SGs Summary of Part 1 Calculations TAB. 163 PAGE 0 Rev 2 Calc Case #

pH Limit Conditions H3 BO 3 NaOH Comment R2-1 Min Sump pH Max Min Benchmark of the Ref 4 Case 3

@ End of Calculation 0 R2-2 Injection Max Min Same as Case R2-1 except RCS volume is increased to 9383 ft3 to reflect Delta-75 SGs R2-3 Min Sump Max Min Benchmark of the Ref 4 Equilibrium Limiting Calculation R2-4 pH Max Min Same as Case R2-3 except RCS volume is increased to 9383 ft3 to reflect Delta-75 SGs R2-5 Min Spray pH Max Min Benchmark of the Ref 4 Case 3 During Calculation

ý2-6R26Recirculation (Prircution Max Min Same as Case R2-5 except RCS Emptying the volume is increased to 9383 SHST) ft3 to reflect Delta-75 SGs R2-7 Max Min Benchmark of the Ref 4 Case 2a Calculatione R2-8 Max Min Same as Case R2-7 except RCS volume is increased to 9383 ft3 to reflect Delta-75 SGs 0

0 0

DC00040-066, Rev 0

ENGINEERS Serial 227-68-1864 TECHNICAL WORK RECORD Engineer LR ai/k Date 24 Sept 1994 0 PROJECT-TITLE 7.2 SPRAY/SUMP pH WITH DELTA-75 SGs Part 2 Calculations TAB_163_PAGE_.1i In this section a review of the Ref 4 analysis assumptions will be performed. These will be followed by some more bounding calculations to assess the impact on min/max sump pH limits when more conservative assumptions are used. The Ref 4 methodology and Lotus spreadsheets, developed in Section 6.0, will be applied with modifications as described herein. A computer run summary is provided in Section 7.2.10.

7.2.1 Additional Checks Of The Ref 4 Inputs The drawdown analysis is an integral input to the sump/spray pH calculation. This calculation is based on the major assumptions outlined in the enclosed G/C memo.

Select Major inputs used in the G/C calculation were checked. The results were as follows:

Item G/C Value Check Result Limits on Boron Max - 2500 ppm Verified via Tech Spec 3.5.4 in RWST Min = 2300 ppm _

Limits on Boron Max - 2500 ppm Verified via Tech Spec 3.5.1 in Accumulators Min = 2200 ppm Accumulator water Max - 7684.74 gal Verified via Tech Spec 3.5.1 min/max volume Min = 7488.75 gal vol of 7489/7685 gals RWST Vol per ft 9399.6 gal/ft In Ref 7 this was calculated as 104.7197 ft3/in which corresponds to 9399.6 gal/ft.

Max Change in 42.23 ft at Verified per STP-375.001 (Ref 8) where RWST level low-low level HL Alarm @ 97% & LL Alarm 8 18% & Span of 642"

(.97-.18)642=507.18" or 42.26 ft Min Change in RWST 40.08 ft at Ref 4 calculation was based on a Nom level low-low level Min Full setpoint of 93% which, per the above methodology, gives

(.93-.18)642=481.5" or 40.13 ft.

This is viewed as a reasonable assumption and will be maintained to ensure consistancy with the drawdown analysis. However, the current low level setpoint is 90% per Ref 8, giving a Max error of approximately 1.56',

0 SHST NaOH 22 w/o Max where: (.90-.18)642=462.24" or 38.52 ft.

Verified per Tech Spec 3.6.2.2.

Concentration 20 w/o Min NaOH Vol per ft 82.6 gal/ft Verified per Ref 9 where Tank ID=3'-9" which gives area of 11.0447 ft2 and vol of 82.61 gal/ft @ 7.48 gal/ft3 DC00040-066, Rev 0

ENG INEERS Serial 227-68-1864 TECHNICAL WORK RECORD Engineer L R Cartin Date 24 Sept 1994 PROJECT-TITLE SPRAY/SUMP pH WITH DELTA-75 SGs TAB 163 PAGE 60 Min Na0H Level 37 ft This represents the min height above the centerline of the outlet nozzle. Verified via Tech Spec 3.6.2.2 which requires min vol of 3140 gals & DWo IMS-18-002 (Ref 9) which shows the outlet elevation to be 1-ft above the bottom of the tank. Min level is thus:

3140 gal -1' = 37.01' 82.61 gal/ft Max NaOH Level 38 ft This represents the max height above the centerline of the outlet nozzle. Verified via Tech Spec 3.6.2.2 which requires max vol of 3230 gals & DWG IMS-18-002 (Ref 9) which shows the outlet elevation to be 1-ft above the bottom of the tank. Max level is thus:

3230 gal -1' - 38.09' 182.61 gal/ft RCS Liq Vol 8430 ft3 This appears low based on design inputs 1 &

2. A more representative value would be 8596 ft3. Use of 8430 ft3 is not bounding for min sump pH calculations but is bounding for max pH calculations. The use of a larger volume will be assessed when the 0 RCS Boron 2000 ppm impact of the new SGs is evaluated.

Based on current core designs, this is a concentration conservative high value for RCS boron concentration for Mode 1/2 at BOC per Design Input 7. EOC values will approach 0 ppm.

Use of 2000 ppm is bounding for min pH calculations.

RCS Vol below top 1400 ft3 Appears reasonable per comparison to Design of the core Input 3 Reference. This is treated as RCS water (2000 ppm) which is conservative for min sump pH calculation. When it is conservative to assume residual water exists in the RV, DesIgn Input 3, which represents the volume below the HL nozzle, would be 12 more bounding.

The RWST drawdown was assumed to terminate at the low-low level setpoint. Since the Chg/SI pumps would continue to take suction off the RWST until the operators switch their suction to the discharge of the RHR pumps, more water can be added to the RB sumps after the low-low level. The current assumption, which minimizes the RWST volume, is conservative for max sump pH calculations. For minimum sump pH calculation, a more conservative assumption would be to assume that RWST volume to the current 6% empty level alarm makes it way to the sump. At DC00040-066, Rev 0

ENGINEERS Serial 227-68-1864 TECHNICAL WORK RECORD Engineer Date 24 Sept 1994 i PROJECT-TITLE SPRAY/SUMP nH WITH DELTA-75 SGs TAB_163 PAGE (PI this point operator action would be taken to terminate any operating pumps with suction off the RWST.

. During the recirculation period, the Ref 4 calculation assumes that the RB is depressurized thus allowing the SHST to continue to drain until empty. This would maximize the resulting spray and equilibrium sump pH. For minimum pH calculations, however, it would be more conservative to assume that no additional NaOH

. is added from the SHST following the switchover from the injection to recirculation phase.

During the recirculation period prior to emptying the SHST, the spray pH is calculated. In these calculations, several assumptions are made:

l.Sump Boron Level: is set at either the min or max ppm level of the RWST depending on if max or min spray pH calculations are being done. This is conservative for min spray pH calculations.

However, since both the RCS and ECCS accumulators can be at a lower boron level than the RWST, a mixed mean sump boron level would be more appropriate for max spray pH calculations.

2.Sump NaOH Level: a constant value equal to the amount drained from the SHST during the injection phase is assumed. The sump NaOH levels are not updated even though the SHST is assumed to continue to drain. This is conservative for min spray pH calculations especially when noting that the boron levels in the sump are set at the max RWST levels. This would, however, not be bounding for max spray pH calculations. However, since the max spray pH during this period occurs at the onset of recirculation, this maximum predicted pH value will not be affected.

3.Sump Solution Level: a constant value equal to the additions from the RCS, RWST, and SHST at the end of the injection phase is assumed. For min spray pH calculation, it would be more conservative to track the additional solution added to the sump.

However, since the period of time required to empty the SHST is O so short (minutes), use of a constant sump solution volume is a reasonable assumption.

When calculating the long term equilibrium sump pH (after the

. RWST and NaOH drawdown is complete), the Ref 4 calculation also took credit for 1400 ft3 of water (volume within the RV below the top of the core) of RCS water not being in the sump. During recirculation, it is more conservative to assume that the water in the RV is also at the equilibrium sump pH since is it recirculated continuously.

It is noted that nominal RWST levels are assumed as initial conditions; measurement errors are not considered. This is DC00040-066, Rev 0

ENGINEERS Serial 2 TECHNICAL WORK RECORD Engineer L r Date 24 Sept 1994

PROJECT-TITLE SPRAY/SUMP pH WITH DELTA-75 SGs TAB 1j63PAGE (__l viewed as appropriate since the level change, not the absolute magnitude of the level, is of more importance.

0 0

DC00040-066, Rev 0

ENGINEERS Serial 227-68-1864 TECHNICAL WORK RECORD Engineer LRCr'd Date 24 Sept 1994 PROJECT-TITLE SPRAY/SUMP DH WITH DELTA-75 SGs TAB_16JPAGE(O3 7.2.2 Min Spray pH - Injection Phase This calculation evaluates the spray header pH as the SHST drains during the injection period. It is controlled by the spray flow, O RWST boron level, the initial conditions within the SHST, drain rates from the SHST, and the duration of the injection phase.

The new SGs have not impact on this calculation and, during the course of this review, no inputs or assumptions were identified

. which were unconservative.

judged to remain bounding.

This calculated value of 8.8 is thus 7.2.3 Max Spray pH - Injection Phase This calculation evaluates the spray header pH as the SHST drains during the injection period. It is controlled by the spray flow, RWST boron level, the initial conditions within the SHST, drain rates from the SHST, and the duration of the injection phase.

The new SGs have not impact on this calculation and, during the course of this review, no inputs or assumptions were identified which were unconservative. This calculated value of 10.1 is thus judged to remain bounding.

7.2.4 Min Sump pH - @ End of Injection This calculation evaluates the sump pH at the end of the injection phase. This calculation is impacted by the additional volume added by the new SGs; however, as shown in Section 7.1.5, the change in pH is negligible. During the course of this review, no inputs or assumptions were identified which were unconservative. Thus, the calculated value of 7.5 remains bounding.

7.2.5 Max Sump pH - Q End of Injection This calculation evaluates the max sump pH at the end of the injection phase. During the course of this review, several assumptions were identified which are not bounding and a error in the Ref 4 calculation was found. As a result, three additional calculations were performed to assess the impact on the Ref 4 calculated value of 8.2. These are discussed below:

In the Ref 4 calculation, the max sump pH occurred for case 4 S with maximum NaOH conditions.

mass balance error exists for the Within the Ref 4 calculation, a RWST components. The lbs of boric acid and water are shown as 43448.32 lbs and 3262401.84 lbs respectively; calculations indicate that they are based on a assumed 42.23 ft change in RWST level during the injection phase.

. However, the total lbs of solutions, which is equal to the sum of the boric acid and water, is stated as 3137543.79 lbs (which is less than the amount of water); calculations indicate that this total amount of sump solution is based on a 40.08 ft change in DC00040-066, Rev 0

ENGINEERS Serial 227-68-1864 TECHNICAL WORK RECORD Engineer L R Cartin Date 24 Sept 1994

PROJECT-TITLE SPRAY/SUMP pH WITH DELTA-75 SGs TAB 163 PAGE 64 RWST level during the injection phase. Thus two benchmark calculations are performed:

Case R2-9: benchmarks the Ref 4 calculation assuming a RWST level change of 42.23 ft. The resulting pH is approximately 8.2.

Case R2-10: benchmarks the Ref 4 calculation assuming a RWST level change of 40.08 ft. This benchmark is judged to be the intended assumption in the Ref 4 calculation since a min change in RWST level would tend to maximize the resulting sump pH. The resulting pH is approximately 8.25 which is slightly higher than the Ref 4 calculation.

The above benchmarks indicate that the mass balance error in the Ref 4 calculation results in a minor impact on the calculated max sump pH level at the end of injection.

An additional error also exists in the Ref 4 calculation and is also present in Cases R2-9 & R2-10. This error is associated with the mass of NaOH. In converting the SHST level change to mass of NaOH added, the wrong SHST fluid density was used. For these max NaOH conditions, a density corresponding to 20 w/o (76.046 lb/ft3) as opposed to 22 w/o (77.411 lb/ft3) was utilized. This is evident in the benchmark calculations which match the Ref 4 results. This error is corrected in Case R2-11 below.

During the course of this review, several more limiting assumptions were identified which could lead to a high sump pH at the end of injection.

These are:

1. The RCS could be End of Cycle conditions with boron level which approach 0 ppm. With a zero ppm boron, the max RCS volume should be considered; thus, the larger RCS volume with the new SGs should be considered.

2. Within the Ref 4 calculation, the water volume below the top of the core (1400 ft3) is not added to the sump. This was treated as RCS volume

(@2000 ppm) within the Ref 4 calculation. Is it more conservative to assume that all of the RCS volume @ 0 ppm boron is added to the sump and that the water below the top of the core is from the RWST @ 2300 ppm boron. To incorporate this change into the-LOTUS spreadsheet, the volume below the top of the core will be set to zero, thus forcing all RCS volume to be added to the sump, and the RWST level change will be decreased to effectively not allow the volume below the RV nozzles (Design Input 3) to be added to the sump. This volume below the RV nozzles is equal to approximately 1.86 ft of RWST level. Thus, within the LOTUS spreadsheet, the change in RWST level will be specified as O (40.08 - 1.86) - 38.22 ft.

DC00040-066, Rev 0

ENGINEERS Serial 227-68-1864 TECHNICAL WORK RECORD Engineer L Rain /Vf-/

Date 24 Sent 1994 PROJECT-TITLE SPRAY/SUMP pH WITH DELTA-75 SGs TAB_.U__PAGEk_*.

3.The RCS volume will be increased to 9383 ft3 to reflect the new SGs.

. Case R2-11 reflect the above changes and utilized the SHST fluid density of 77.411 lb/ft3 corresponding to 22 w/o. The changes result in a maximum sump pH @ the end of injection of approximately 8.5, which is 0.3 higher than the Ref 4 calculation.

0 0

DC00040-066, Rev 0

Calculation of Max Sump pH at the End of Injection Case R2-9: Benchmark of G/C Calculation with 42.23' RWST Level Change Base Assumptions RWST @ 2300 ppm boron with initial level at 51.15 ft SI ACC @ 2200 ppm boron with initial level at low level alarm RCS @ 2000 ppm boron SHST 8 22 w/o NaOH with level initially at 38 ft 0 SI Accumulators RWST @ 9399.6 gal/ft

of Tanks 3 Level Change 42.23 ft Vol per Tank 1001.1 ft3 Mass of Solution 3305850.

Density 62.2995 lb/ft3 Mass Boric Acid 43448.32 lbs Mass of Solution 187104.0 lbs Water Mass 3262402. lbs Mass Boric Acid 2352.165 lbs Water Mass 184751.9 lbs Reactor Coolant System SHST @ 82.6 gal/ft Density 45.57242 lb\ft3 Level Change 35.5 ft Density 76.046 lb/ft3 RCS Liq Vol 8430 ft3 Mass of Solution 29809.46 lb Vol Below Top of C 1400 ft3 Mass NaOH 6558.081 lb Water Mass 23251.38 lb Net Water to Sump 7030 ft3 320374.1 lbs Mass Boric Acid 3661.418 Water Mass 316712.6 lbs lbs lbs lbs 7),CDO040 -0 b(ol ACV 0 Source H3BO3 NaOH Water Solution Accum RCS 2352.165 3661.418 0

0 184751.9 316712.6 187104.0 320374.1 Pay- (0(0 RWST 43448.32 0 3262402. 3305850.

SHST 0 6558.081 23251.38 29809.46 Total 49461.91 6558.081 3787118. 3843138.

Calculate Molarity per the G/C Method NaOH Molarity = (Total lbs NaOH)(25)/(Total lbs Solution)

= 0.042660 H3BO3 Molarity = (Total lbs H3BO3)(16.167)/(Total lbs Solution)

= 0.208072 Calculate the pH using the ORNL data Sump PR =__

0

Calculation of Max Sump pH at the End of Injection Case R2 Benchmark of the G/C Calculation With 40.08' RWST Level Change Base Assumptions RWST @ 2300 ppm boron with initial level at 49.00 ft SI ACC @ 2200 ppm boron with initial level at low level alarm RCS @ 2000 ppm boron SHST @ 22 w/o NaOH with level initially at 38 ft SI Accumulators RWST @ 9399.6 gal/ft

of Tanks 3 Level Change 40.08 ft Vol per Tank 1001.1 ft3 Mass of Solution 3137544.

Density 62.2995 lb/ft3 Mass Boric Acid 41236.30 lbs Mass of Solution 187104.0 lbs Water Mass 3096308. lbs Mass Boric Acid 2352.165 lbs Water Mass 184751.9 lbs Reactor Coolant System SHST @ 82.6 gal/ft Density 45.57242 lb\ft3 Level Change 35.5 ft Density 76.046 lb/ft 3 RCS Liq Vol 8430 ft3 Mass of Solution 29809.46 lb Vol Below Top of C 1400 ft3 Mass NaOH 6558.081 lb Water Mass 23251.38 lb Net Water to Sump 7030 ft3 320374.1 lbs Mass Boric Acid 3661.418 Water Mass 316712.6 lbs lbs lbs lbs Source H3BO3 NaOH Water Solution T7200o0oc/o -o06, (0V Accum 2352.165 0 184751.9 187104.0 RCS 3661.418 0 316712.6 320374.1 RWST 41236.30 0 3096308. 3137544. Pda~db-SHST 0 6558.081 23251.38 29809.46 Total. 47249.88 6558.081 3621024. 3674832.

Calculate Molarity per the G/C Method NaOH Molarity = (Total lbs NaOH)(25)/(Total lbs Solution)

= 0.044614 H3B03 Molarity = (Total lbs H3B03)(16.167)/(Total lbs Solution)

= 0.207870 Calculate the pH using the ORNL data SumpPH: B. Z*

0

0 Calculation of Max Sump pH at the End of Injection Case R2-11: Update to Case R2-10 with new SG, 0 ppm in RCS, all RCS vol to the sump, RV vol below nozzle at RWST ppm Base Assumptions O RWST @ 2300 ppm boron with initial level at 49.00 ft SI ACC @ 2200 ppm boron with initial level at low level alarm RCS @ 0 ppm boron SHST @ 22 w/o NaOH with level initially at 38 ft SI Accumulators RWST @ 9399.6 gal/ft Vof Tanks 3 Level Change 38.22 ft Vol per Tank 1001.1 ft3 Mass of Solution 2991940 Density 62.2995 lb/ft3 Mass Boric Acid 39322.64 lbs Mass of Solution 187104.1 lbs Water Mass 2952617 lbs Mass Boric Acid 2352.166 lbs Water Mass 184751.9 lbs Reactor Coolant System SHST @ 82.6 gal/ft Density 45.57242 lb\ft3 Level Change 35.5 ft Density 77.411 lb/ft3 RCS Liq Vol 9383 ft3 Mass of Solution 30344.53 lb Vol Below Top of C 0 ft3 Mass NaOH 6675.797 lb Water Mass 23668.74 lb Net Water to Sump 9383 ft3 0 427606 lbs Mass Boric Acid 0 Water Mass 427606

'Ce 0004-064(o 'V lbs lbs lbs lbs Source H3BO3 NaOH Water Solution Accum 2352.166 0 184751.9 187104.1 RCS 0 0 427606 427606 RWST 39322.64 0 2952617 2991940 SHST 6675.797 23668.74 30344.53 0 Total 41674.81 6675.797 3588644 3636995 Calculate Molarity per the G/C Method NaOH Molarity = (Total lbs NaOH)(25)/(Total lbs Solution)

= 0.045888 H3B03 Molarity = (Total lbs H3BO3)(16.167)/(Total lbs Solution)

0.185251 Calculate the pH using the ORNL data 0 Sump pH

ENGINEERS Serial 227-68-1864 TECHNICAL WORK RECORD Engineer Date 24 Sept 1994 PROJECT-TITLE SPRAY/SUMP UH WITH DELTA-75 SGs TABJ163PAGE *1 7.2.6 Max Equilibrium Sump pa (w/SEST empty)

This calculation evaluates the maximum sump pH after the SHST empties. The volume & ppm levels of the borated water sources are minimized whereas the volume and NaOH concentration within the SHST is maximized in order to achieve the maximum equilibrium sump pH.

Case R2-12 benchmarks the Ref 4 calculation. The results are O essentially identical. A maximum sump pH of approximately 8.3 is predicted.

During the course of this review, several more limiting assumptions were identified which could lead to a higher equilibrium sump pH after the SHST empties. These are:

l.The RCS could be End of Cycle conditions with boron level which approach 0 ppm. With a zero ppm boron, the max RCS volume should be considered; thus, the larger RCS volume with the new SGs should be considered.

2.Within the Ref 4 calculation, the water volume below the top of the core (1400 ft3) is not added to the sump. This was treated as RCS volume (@2000 ppm) within the Ref 4 calculation. Is it more conservative to assume that all of the RCS volume @ 0 ppm boron is added to the sump, and it is judged to be more appropriate to assume that the volume below the core is essentially an extension of the sump due to the recirculation of ECCS fluid.

3.Since the RCS will be assumed to be at 0 ppm boron, its volume will be increased to 9383 ft3 to reflect the new SGs.

Case R2-13 repeats Case R2-12 with the above changes and the maximum equilibrium sump pH is calculated to be approximately 8.5, which is approximately 0.2 higher than the Ref 4 calculated result.

DC00040-066, Rev 0

Calculation of Max Sump pH During Recirculation with SHST Empty Case R2-12: Benchmark of G/C Calculation Base Assumptions RWST @ 2300 ppm boron with initial level at 49 ft SI ACC @ 2200 ppm boron with initial level at low level alarm RCS 8 2000 ppm boron SHST @ 22 w/o NaOH with level initially at 38 ft SI Accumulators RWST @ 9399.6 gal/ft

of Tanks 3 Level Change 40.08 ft Vol per Tank 1001.1 ft3 Mass of Solution 3137544.

Density 62.2995 lb/ft3 Mass Boric Acid 41236.30 lbs Mass of Solution 187104.0 lbs Water Mass 3096308. lbs Mass Boric Acid 2352.165 lbs Water Mass 184751.9 lbs Reactor Coolant System SHST @ 82.6 gal/ft Density 45.57242 lb\ft3 Level Change 38 ft Density 77.411 lb/ft3 RCS Liq Vol 8430 ft3 Mass of Solution 32481.47 lb Vol Below Top of C 1400 ft3 Mass NaOH 7145.923 lb Water Mass 25335.54 lb Net Water to Sump 7030 ft3 320374.1 lbs Mass Boric Acid 3661.418 Water Mass 316712.6 lbs lbs lbs lbs Source H3BO3 NaOH Water Solution Accum 2352.165 0 184751.9 187104.0 RCS 3661.418 0 316712.6 320374.1 RWST 41236.30 0 3096308. 3137544.

SHST 0 7145.923 25335.54 32481.47 Total 47249.88 7145.923 3623108. 3677504.

Calculate Molarity per the G/C Method NaOH Molarity = (Total lbs NaOH)(25)/(Total lbs Solution)

= 0.048578 H3BO3 Molarity = (Total ibs H3BO3) (16.167)/(Total Ibs Solution)

= 0.207719 Calculate the pH using the ORNL data Sump= 8 7)C60OO0-0641 Aivo 0

Calculation of Max Sump pH During Recirculation with SHST Empty Case R2-13: Updated Case R2-12 with New SGs, RCS @ Oppm, 0 Base Assumptions RWST 0 All Sources Mixed 2300 ppm boron with initial level at 49 ft SI ACC 0 2200 ppm boron with initial level at low level alarm RCS @ 0 ppm boron SHST @ 22 w/o NaOH with level initially at 38 ft SI Accumulators RWST @ 9399.6 gal/ft

of Tanks 3 Level Change 40.08 ft Vol per Tank 1001.1 ft3 Mass of Solution 3137544.

Density 62.2995 lb/ft3 Mass Boric Acid 41236.30 lbs Mass of Solution 187104.0 lbs Water Mass 3096308. lbs O Mass Boric Acid 2352.165 lbs Water Mass 184751.9 lbs Reactor Coolant System SHST @ 82.6 gal/ft Density 45.57242 lb\ft3 Level Change 38 ft Density 77.411 lb/ft3 RCS Liq Vol 9383 ft3 Mass of Solution 32481.47 lb Vol Below Top of C 0 ft3 Mass NaOH 7145.923 lb Water Mass 25335.54 lb Net Water to Sump 9383 ft3 427606.0 ibs Mass Boric Acid 0 Water Mass 427606.0 lbs lbs lbs lbs Source H3B03 NaOH Water Solution Accum 2352.165 0 184751.9 187104.0 RCS 0 0 427606.0 427606.0 RWST 41236.30 0 3096308. 3137544.

SHST 0 7145.923 25335.54 32481.47 Total 43588.46 7145.923 3734001. 3784736.

Calculate Molarity per the G/C Method NaOH Molarity - (Total lbs NaOH) (25)/(Total lbs Solution)

= 0.047202 H3B03 Molarity - (Total lbs H3BO3) (16.167)/(Total lbs Solution)

= 0.186193 Calculate the pH using the ORNL data Sump pH _____

/Lr7)

ENGINEERS Serial 227-68-1864 TECHNICAL WORK RECORD Engineer VY--

Date 24 Seat 1994 PROJECT-TITLE SPRAY/SUMP UH WITH DELTA-75 SGs TABJ163PAGE_Ž_

7.2.7 Min Equilibrium Sump pH Within the ref 4 calculation, the minimum equilibrium sump pH is evaluated assuming that the SHST continues to drain. Within

Section 4.1.5, this calculation was benchmarked (Case R2-3) and the effect of the larger RCS volume was assessed in Case R2-4.

In both cases, the minimum equilibrium sump pH was assessed to be approximately 8.0.

_ During the course of this review, several more limiting assumptions were identified which could lead to a lower equilibrium sump pH. These are:

1. The RB can be assumed to remain pressurized thus preventing further draining of the SHST. The amount of NaOH within the sump solutions would thus be limited to that calculated at the end of the injection phase.

2. Drawdown of the RWST could continue past the low-low level setpoint of 18% due to continued operation of the Chg/SI pumps until a manual transfer is accomplished. It would be more conservative to assume that the RWST continues to drain to the 6% empty alarm (per Ref 8). At this point, the EOP directs the operator to terminate Chg/SI flow by stopping the pumps if the manual transfer to the recirculation alignment has not been accomplished.

The RWST level change for this condition would be (0.97 -

0.06) (642/12) = 48.685 ft.

3. All of the RCS volume should be assumed to be mixed with the sump because of the continuous recirculation of the sump solution.

The impact of these changes are evaluated below in Cases R2-14 through R2-16.

Case R2-14: Repeats Case R2-4. This reflects the impact of the O new SGs and limits the change in the SHST level 22.8 ft which corresponds to the level change which occurred during the injection period. For Case R2-14, the calculated pH is approximately 7.5 (the same as that predicted for the min sump pH at the end of injection).

. Case R2-15: Updates Case R2-14 assuming the RWST drains to the 6% empty alarm (i.e., level change of 48.685') and all of the RCS volume mixes with the sump solution (i.e., volume below the core is zero in the LOTUS spread sheet). For Case R2-15, the calculated pH is approximately 7.4.

DC00040-066, Rev 0

ENGINEERS Serial 22-6816 TECHNICAL WORK RECORD R Engineer L _axZJ/A,$

Date 24 Seot 1994

PROJECT-TITLE SPRAY/SUMP pH WITH DELTA-75 SGs TABJ163_PAGE _13_

The Case R2-15 result is of some concern in that it is less than the current min limit of 7.5 stated in the bases of the Technical Specifications.

During normal operation, the pH within the RCS is controlled via addition of Lithium as illustrated by Design Input 5. At 2000 ppm boron, a pH of approximately 5.9 at 77°F would be expected.

Within Case R2-16, the RCS pH control will be credited to determine if the 7.5 pH limit in the Tech Spec can be shown to be adequate. Within Case R2-16, the effect of the lithium within the RCS fluid will be credited by calculating an equivalent boron concentration to maintain the initial RCS pH. This equivalent level of boron is approximated in the following manner:

1. Assume initial RCS pH of 5.85 to 5.9 per Design Input 5 for an RCS boron concentration of 2000 ppm.

2. Using the ORNL Data, the boric acid molarity for this pH range, with essentially zero NaOH (molarity of 10-7, is approximate 0.04.

3. Based on a molarity of 0.04, an equivalent boron concentration in the RCS is calculated.

. Per Section 6.2:

'_ = (Ibm

_Lka OJQ/) (453.59 a/lbm) (1 a-mole/61.82 a)

(lbs of solution) (453.59 g/lbm) (1 liter/1000 g)

- .bmofBQ*j x (16.176 a-mole/liter)

(lbm of solution) lbm H 3BO 3 = (lbm of RCS fluid) ( o.m )

1750 x 100 S Therefore, (lbm of H3BO3) = (0.04) (427606 lbm in RCS) = 1057.38 lbm 16.176 S where 427606 is the RCS mass with the new SG calculated in LOTUS spread sheet for a RCS liquid volume of 9383 ft3.

the RCS ppm = (1057.38) (1750 x 100) = 432.738 ppm 427606 DC00040-066, Rev 0

ENGINEERS Serial 227-68-1864 TECHNICAL WORK RECORD Engineer LR Cartin Date 24 Sept 1994 PROJECT-TITLE SPRAY/SUMP opH WITH DELTA-75 SGs TABJ5_aPAGE-,!L With the above changes incorporated, Case R2-16 shows that the sump pH will approach 7.6 and thus remain above the Tech Spec min value of 7.5.

0 DC00040-066, Rev 0

Calculation of Minimum Equilibrium Sump pH With No Drawdown of SHST After The Injection Phase Case R2-14: Update of Case R2-4 With SHST Level Change of 22.8 ft Base Assumptions RWST @ 2500 ppm boron with initial level at high level alarm SI ACC @ 2500 ppm boron with initial level at high level alarm RCS @ 2000 ppm boron SHST @ 20 w/o NaOH with level initially at 37 ft SI Accumulators RWST @ 9399.6 gal/ft

of Tanks 3 Level Change 42.23 ft Vol per Tank 1027.3 ft3 Mass of Solution 3305850.

Density 62.2995 lb/ft3 Mass Boric Acid 47226.44 lbs Mass of Solution 192000.8 lbs Water Mass 3258624. lbs Mass Boric Acid 2742.868 lbs Water Mass 189257.9 lbs Reactor Coolant System SHST @ 82.6 gal/ft Density 45.57242 lb\ft3 Level Change 22.8 ft Density 76.046 lb/ft3 RCS Liq Vol 9383 ft3 Mass of Solution 19145.23 lb Vol Below Top of 1400 ft3 Mass NaOH 3829.046 lb Water Mass 15316.18 lb Net Water to Sump 7983 ft3 363804.6 lbs Mass Boric Acid 4157.767 Water Mass 359646.8 lbs lbs lbs lbs Source H3BO3 NaOH Water Solution Accum 2742.868 0 189257.9 192000.8 RCS 4157.767 0 359646.8 363804.6 RWST 47226.44 0 3258624. 3305850.

SHST 0 3829.046 15316.18 19145.23 Total 54127.07 3829.046 3822845. 3880801.

Calculate Molarity per the G/C Method NaOH Molarity = (Total lbs NaOH) (25)/(Total lbs Solution)

= 0.024666 H3B03 Molarity = (Total ibs H3B03) (16.167)/(Total lbs Solution)

= 0.225487 Calculate the pH using the ORNL data Sump PH

'Do oýo -o clPz

Calculation of Minimum Equilibrium Sump pH With No Drawdown of of the SHST After The Injection Phase Case R2-15: Update of Case R2-14 With SHST Level Change of 22.8 ft.,

RWST Level to Empty Alarm, All Water Sources Mixed Base Assumptions RWST @ 2500 ppm boron with initial level at high level alarm SI ACC @ 2500 ppm boron with initial level at high level alarm RCS @ 2000 ppm boron SHST @ 20 w/o NaOH with level initially at 37 ft SI Accumulators RWST @ 9399.6 gal/ft

of Tanks 3 Level Change 48.685 ft Vol per Tank 1027.3 ft3 Mass of Solution 3811161.

Density 62.2995 lb/ft3 Mass Boric Acid 54445.16 lbs Mass of Solution 192000.8 lbs Water Mass 3756716. lbs Mass Boric Acid 2742.868 lbs Water Mass 189257.9 lbs Reactor Coolant System SHST @ 82.6 gal/ft Density 45.57242 lb\ft3 Level Change 22.8 ft Density 76.046 lb/ft3 RCS Liq Vol 9383 ft3 Mass of Solution 19145.23 lb Vol Below Top of C 0 ft3 Mass NaOH 3829.046 lb Water Mass 15316.18 lb Net Water to Sump 9383 ft3 427606.0 lbs mass Boric Acid 4886.925 Water Mass 422719.0 lbs lbs lbs lbs Source H3B03 NaOH Water Solution Accum. 2742.868 0 189257.9 192000.8 RCS 4886.925 0 422719.0 427606.0 RWST 54445.16 0 3756716. 3811161.

SHST 0 3829.046 15316.18 19145.23 Total 62074.96 3829.046 4384009. 4449913.

Calculate Molarity per the G/C Method NaOH Molarity = (Total lbs NaOH)(25)/(Total lbs Solution)

= 0.021511 H3BO3 Molarity = (Total lbs H3B03)(16.167)/(Total lbs Solution)

= 0.225524 Calculate the pH using the ORNL data sump p 7.

0o- 0 a

Calculation of Minimum Equilibrium Sump pH With No Drawdown of of the SHST After The Injection Phase Case R2-16: Update of Case R2-15 With RCS pH Control Credited 0 Base Assumptions RWST @ 2500 ppm boron with initial level at high level alarm SI ACC @ 2500 ppm boron with initial level at high level alarm RCS @ 432.738 ppm boron SHST @ 20 w/o NaOH with level initially at 37 ft SI Accumulators RWST @ 9399.6 gal/ft

of Tanks 3 Level Change 48.685 ft Vol per Tank 1027.3 ft3 Mass of Solution 3811161.

Density 62.2995 lb/ft3 Mass Boric Acid 54445.16 lbs Mass of Solution 192000.8 lbs Water Mass 3756716. lbs Mass Boric Acid 2742.868 lbs Water Mass 189257.9 lbs Reactor Coolant System SHST @ 82.6 gal/ft Density 45.57242 lb\ft3 Level Change 22.8 ft Density 76.046 lb/ft3 RCS Liq Vol 9383 ft3 Mass of Solution 19145.23 lb Vol Below Top of C 0 ft3 Mass NaOH 3829.046 lb Water Mass 15316.18 lb Net Water to Sump 9383 ft3 427606.0 lbs Mass Boric Acid 1057.379 Water Mass 426548.6 lbs lbs lbs lbs ,

Source H3B03 NaOH Water Solution Accum 2742.868 0 189257.9 192000.8 RCS 1057.379 0 426548.6 427606.0 RWST 54445.16 0 3756716. 3811161.

SHST 0 3829.046 15316.18 19145.23 Total 58245.41 3829.04.6 4387839. 4449913.

Calculate Molarity per the G/C Method NaOH Molarity = (Total lbs NaOH) (25)/(Total lbs Solution) 0 = 0.021511 H3B03 Molarity =(Total ibs H3BO3) (16.167) /(Total ibs Solution)

= 0.211611 Calculate the pH using the ORNL data Sump pH= 7. 5 OLCo~os'-o-o6 6 , *e-/o

ENGINEERS Serial 227-68-1864 TECHNICAL WORK RECORD Engineer Date 24 Sept 1994 PROJECT-TITLE SPRAY/SUMP oH WITH DELTA-75 SGs TABJ13_PAGE K 7.2.8 Min Spray pK - Recirculation Phase The SHST does not empty during the injection period. Within the Ref 4 calculation, the SHST is assumed to drain until empty.

O During the drain period, the spray pH is controlled primarily by the flow rate from the SHST. The drawdown analysis shows that the SHST drain flow slowly decreases thus resulting in a similiar decrease in spray pH. The minimum value occurs just prior to

. emptying the SHST. A min spray pH of 8.7 is calculated.

calculation was benchmarked in Section 7.1.7 and the effect of the new SGs were determined to be negligible.

This These are very conservative calculations because of the following two assumptions:

1.Sump boron level is assumed constant and equal to the maximum RWST level of 2500 ppm.

2.The amount of NaOH in the sump is assumed constant and equal to the amount which has drained from the SHST during the injection period. No credit for additional NaOH is taken even though the SHST is assumed to continue to drain until empty.

The only calculation assumption which could be made more limiting is to increase the total amount of sump solution to reflect the continued drawdown of the RWST by the Chg/SI pumps after recirculation is initiated. This is judged to have a small effect which would be more than offset by existing margins due to the above two assumption. Thus, it is concluded that the calculation of the min spray pH of 8.7 during the recirculation phase continues to be a bounding value.

S DC00040-066, Rev 0

ENGINEERS Serial 227-68-1864 TECHNICAL WORK RECORD Engineer LLRCt"/'

Date 24 Sent 1994

PROJECT-TITLE SPRAY/SUMP oH WITH DELTA-75 SGs TAB 163_PAGE_'19 7.2.9 Max Spray pH - Recirculation Phase The SHST does not empty during the injection period. Within the

. Ref 4 calculation, the SHST is assumed to drain until empty during the recirculation period. During the drain period, the spray pH is controlled primarily by the flow rate from the SHST.

The drawdown analysis shows that the SHST drain flow slowly decreases during recirculation thus resulting in a similar decrease in spray pH. The maximum value basically occurs at the O onset of the recirculation phase. A max spray pH of 10.2 is calculated for the Ref 4 calculation Case 3 with max NaOH conditions and min boron conditions. Case R2-17 benchmarks the Ref 4 calculation; results are essentially identical.

During the course of this review, several more limiting assumptions were identified which could lead to a higher spray pH. They were:

l.The solution from the sump was assumed to be at the min RWST boron concentration (2300 ppm). Given that the accumulators could have a boron concentration of 2200 ppm and the RCS could approach 0 ppm at end of cycle, a lower equivalent sump boron concentration is possible. A more limiting assumption would be

. to use a mixed mean value.

2.Since the RCS will be assumed to be at 0 ppm to calculate the sump concentration, the larger volume associated with the new SGs should be used.

Case R2-18 will investigate the impact of the above changes. To calculate the sump's mixed mean boron concentration, the sump conditions at the end of the injection phase will be utilized.

From the Ref 4 calculation Case 3 with max NaOH @ the end of the injection phase, the sump conditions are:

Accum 187104.05 lbs @ 22.00 ppm RCS 320374.06 lbs @ 2000 ppm RWST 3137543.79 lbs @ 2300 ppm SHST 19481.06 lbs @ 22 w/o Total 3664502.96 lbs in sump Prior calculations show that the RCS volume of 9383 ft3 with the S new SG is equivalent to 427606 lb. Assuming all is added to the sump, the new sump mass becomes of this volume (3664503 + 427606 - 320374) = 3771735 lbs The mixed mean boron concentration then becomes:

DC00040-066, Rev 0

ENGINEERS Serial 227-68-1864 TECHNICAL WORK RECORD Engineer L.R.aS.iji" Date 24 Sept 1994

PROJECT-TITLE SPRAY/SUMP pH WITH DELTA-75 SGs TAB 163 PAGE_

187104(2200)+427606(0)+3137544(2300)+19481(0) = 2022 ppm 3771735

. The Case R2-18 results are enclosed.

calculated in the Ref 4 calculation.

duration since The resulting max spray pH is approximately 10.5 which is approximately 0.3 higher than that This is a significant the spray pH will decrease change but is of short during the recirculation phase. The recirculation phase is also very short (minutes). Following depletion of the SHST, the

spray pH will correspond to the equilibrium sump value which is less than 9.0.

0 DC00040-066, Rev 0

Calculation of - Maximum Spray pH- During Recirculation Prior to Emptying The SHST Case R2-17: Benchmark of Rev 1 Calculation Initial Conditions Case Dependent Inputs RWST @ 2300 ppm boron SHST Flow - 47.7 gpm SI ACC 8 2200 ppm boron NaOH in Sump - 4285.83 ibm RCS @ 2000 ppm boron Total Sump Soln - 3664502. ibm

SHST @ 22 w/o NaOH Sunp ppm - 2300 ppm Constant Inputs Spray Train Flow - 2500 gpm total of spray solution Calculations NaOH Injected = 2.277 x NaOH Flow

= 108.6129 ibm/min NaOH Sprayed - NaOH in Sump x 8.329 x (2500 - NaOH Flow)

Total Sump Soln 23.88835 ibm/min Total NaOH NaOH Injected + NaOH Sprayed Into Hrd

-132.5012 ibm/min NaOH Molarity - 0.001198 x (Total NaOR Into Hrd)

- 0.158736 g-mole/l H3B03 Sprayed - 4.7594E-05 x (2500 - NaOH Flow)(sump ppm)

- 268.4439 lbm/min H3B03 Molarity = 7.754E-04 x H3BO3 Sprayed 0.208151 Calculate the pH using the ORNL Data Spray pH 1/.2 dote, 0

Calculation of - Maximum Spray pH- During Recirculation Prior to Emptying The SHST Case R2-18: Case R2-17 Updated to Reflect New SGs & RCS @ 0 ppm 0 Initial Conditions RWST @ 2300 ppm boron Case Dependent Inputs SHST Flow = 47.7 gpm SI ACC @ 2200 ppm boron NaOH in Sump = 4285.83 Ibm RCS @ 0 ppm boron Total Sump Soln - 3771735 ibm SHST @ 22 w/o NaOH Sump ppm - 2022 ppm Constant Inputs Spray Train Flow = 2500 gpm total of spray solution Calculations NaOH Injected - 2.277 x NaOH Flow

= 108.6129 ibm/min NaOH Sprayed - NaOH in Sump x 8.329 x (2500 - NaOH Flow)

Total Sump Soln

=23.20920 ibm/min 0 Total NaOH Into Hrd

=

NaOH Injected + NaOH Sprayed 131.8221 ibm/min NaOH Molarity 0.001198 x (Total NaOH Into Hrd)

= 0.157922 g-mole/l H3B03 Sprayed = 4.7594E-05 x (2500 - NaOH Flow)(sump ppm)

= 235.9972 ibm/min H3BO3 Molarity = 7.754E-04 x H3B03 Sprayed

= 0.182992 Calculate the pH using the ORNL Data 0 Spray pH = /.5 2)CO040 066wku0

ENGINEERS Serial 227-68-1864 TECHNICAL WORK RECORD Engineer L r Date 24 Sept 1994 13.

0 PROJECT-TITLE 7.2.10 SPRAYISUMP DH WITH DELTA-75 SGs Summary of Part 2 Calculations TAB_..IAIPAGE Rev 2 Calc pH Limit Conditions Comment Case # H3BO3 NaOH R2-9 Max Sump pH Min Max Benchmark of Ref 4 Calc Case

@ End of 4 with a RWST Level Change of 0 R2-10 Injection Min Max 42.32 ft Benchmark of Ref 4 Calc Case 4 with a RWST Level Change of 40.08 ft R2-11 Min Max Case R2-10 with new SGs, 0 ppm boron in RCS, all RCS mass added to sump, and Residual RV volume below nozzles at RWST boron concentration R2-12 Max Equil Min Max Benchmark of Ref 4 Sump pH Calculation R2-13 w/SHST Empty Min Max Case R2-12 with new SGs, 0 ppm boron in RCS, and all RCS mass added to sump R2-14 Min Equil Max Min Same as Case R2-4 from Part 1 Sump pH w/o calculation. Reflects impact SHST of new SGs and assumes SHST Draining does not drain after the During injection phase.

R2-15 Recirculation Max Min Case R2-14 with RWST drained to empty (6%) alarm and all RCS mass added to sump.

R2-16 Max Min Case R2-15 with RCS pH Control Credited R2-17 Max Spray pH Min Max Benchmark of the Ref 4 Calc Recirc Case 3 R2-18 Prior to Min Max Case R2-17 with new SGs, RCS SHST @ 0 ppm boron, and sump boron Draining level at mixed mean value 0

DC00040-066, Rev 0

ENGINEERS Serial 227-68-1864 TECHNICAL WORK RECORD Engineer C Date 24 Sept 1994 PROJECT-TITLE SPRAY/SUMP DH WITH DELTA-75 SGs TAB_...Ij__PAGE.1L 8.0

SUMMARY

OF RESULTS The results of the Part 1 & 2 calculations are shown below and are compared to the current limit values:

pH Description Calculated Limit Comment Limit Current New Case Value Value #

Min Spray 8.8 8.8: N/A Ref 4 Value Remains Inj Phase Bounding

+,,4., Sump @ End of 7.5 7.5, R2-2 SGs Have Negligible Impact

%<*,*iX Injection

... Spray 8.7 8.7 R2-8 Ref 4 Value Remains Recirc Phase Bounding

. , Equilibrium 8.1 8 R2-4 Sump (W/SHST Empty)

Equilibrium N/A 7.61 R2-16 Low pH due to no addition Sump (No NaOH of NaOH during recirc, Added After RWST draindown to empty Injection) alarm, and all RCS mass

.... :.*,'__ __ __ __ __ _added to sump.

Max Spray 10.1 10.1 N/A Ref 4 Value Remains Inj Phase Bounding

, Sump @ End of 8.2 8.5 R2-11 pH increases due to error Injection correction, 0 ppm boron for RCS, larger RCS vol due to new SG, and with

_..___ .__.all RCS mass added to sump Spray 10.2 10.5 R2-18 pH increases due 0 ppm Recirc Phase boron for RCS, larger RCS vol due to new SG, and with all RCS mass added to

_ __ ___sump Equilibrium 8.3 8.5 R2-13 pH increases due 0 ppm Sump (W/SHST boron for RCS, larger RCS Empty) vol due to new SG, adding

./ all RCS mass to sump, and use of a mixed mean sump

_________-_ ,__________boron concentration.

Equilibrium N/A 8.5 N/A Bounded by Max Sump pH Sump (No NaOH Value @ End of Injection

. J Added After

.. ..... Injection)

1. Credits normal RCS PH control.

Using the above results the resulting range of spray pH values would thus become:

DC00040-066, Rev 0

ENGINEERS Serial 227-68-1864 TECHNICAL WORK RECORD Engineer Cax ii x-Date 24 Sent 1994 PROJECT-TITLE SPRAY/SUMP pH WITH DELTA-75 SGs TABIf13_PAGEIL Operating Spray pH Range Period Current New Value Value 0-2 hours 8.7 - 10.2 7.5 - 10.5 (min) 8.3 7.5 8.5 0

96 4 1A _M8.1

/I-(max)-

Pas-r 4ccovesar 5eeoy opeeaAri Ti41 r(

r 9 LJAS =PlCe-60S6D Fecai 24hA -/n 4.0 dAYS Peie PEF. , As~jo v65164~ =Iupwr f.

0 DC00040-066, Rev 0

ENGINEERS Serial 227-68-1864 TECHNICAL WORK RECORD Engineer L C t'

Date 24 Sept 1994 PROJECT-TITLE SPRAY/SUMP nH WITH DELTA-75 SGs TAB_163 PAGE A

9.0 CONCLUSION

This calculations show the following:

1. The additional RCS volume due to the Replacement SGs has a negligible impact on sump pH.

2. The min/max pH limits (7.5 to 11.0) as defined in the bases of the Technical Specification are preserved following SG Replacement even with the more limiting assumptions imposed by this calculation. Compliance to the minimum limit of 7.5, however, required crediting normal pH control within the RCS.

3. Limiting spray pH values for EQ are not impacted by the Replacement Ss but do change slightly due to the more limiting assumptions imposed by this calculations.

For EQ purposes, it is more conservative to assume high pH values. Therefore, as done in the Ref 4 calculation, the spray pH values assuming the SHST continues to drain during the recirculation phase would change as shown below:

Operating Spray pH Range Period Ref 4 Value Rev 2 Value 0-2 hours 8.7 - 10.2 8.7 - 10.5 (min)

.... _r 8.1 - 8.3 8.0 - 8.5 max)______ _

2-ga- 40JAY DC00040-066, Rev 0

ENGINEERS N Serial 227-68-1864 TECHNICAL WORK RECORD Engineer L R Car/ti Date 24 Sent 1994 PROJECT-TITLE SPRAY/SUMP pH WITH DELTA-75 SGs TAB_1613_PAGE I7 10.0 VERIFICATION ENGINEERS TECHNICAL WORK RECORD

"'Verficationof DC00040-066 REV 0" TAB 2k SERAL 1di4i ENGnqEER VTWOOf DATE L/24/LL PAGE._L OF._A_

I. Purpose This TWR documents the results of an exhaustive review of VCSNS Design Calculation DC00040-066 REV 0, "SPRAY AND SUMP pH with A75 SGs".

II. Scope of Review The following were checked for validity:

1. Calculation structure per ES-412

2. Methodology

3. Inputs

4. Assumptions

5. Computer spreadsheet structure and calculations

6. Use of ORNL curves for pH determination

7. Reasonableness of results

8. Conclusions H.Results of Review All eight items as outlined above were thoroughly checked and found to be in order and valid. All aspects of the calculation were deemed to be technically correct. The derived equations were transferred properly to the LOTUS spreadsheets that were used; no mistakes were found in the spreadsheets. For all the cases that were examined in the calculation, all inputs that were needed by the spreadsheets were derived properly and input properly; the mathematics, assumptions, and inputs for all cases matched the physical problems at hand. The use of the ORNL pH curves is difficult and tedious, yet all pH results were checked by hand and found to match the results in the calculation. The conclusions made were logical and reflected the findings of the calculations. A number of typographical errors were found; these were resolved with the author of the calculation in the course of this review. Suggestions for clarification of some portions of the calculation were presented to the author in the course of Sthis review; these are not mandatory changes to be made, therefore these were left to the author's discretion.

DC00040-066, Rev 0

RC-09-0072, Calculation DC00040-066, Rev 2., Spray and Sump Ph with Delta-75 Sgs.

Contents

Text

Description:

SUMMARY

SUMMARY

Reference:

2.0 REFERENCES

0.185251 Calculate the pH using the ORNL data 0 Sump pH

SUMMARY

9.0 CONCLUSION

Navigation menu

RC-09-0072, Calculation DC00040-066, Rev 2., Spray and Sump Ph with Delta-75 Sgs.

Text

Description:

SUMMARY

SUMMARY

Reference:

2.0 REFERENCES

0.185251 Calculate the pH using the ORNL data 0 Sump pH

SUMMARY

9.0 CONCLUSION

Navigation menu

Search