Document qkyw9w0gOG9OzqQD1o5YrL4e5

INDUSTRIES PPG INDUSTRIES, INC. INDUSTRIAL CHEMICAL DIVISION P. 0. BOX 1000 LAKE CHARLES, LA. 70601 October 19, 1971 Mr. Dick Churns Continental Oil Company P. O. Box 37 Westlake, Louisiana 70669 Dear Mr. Churns: Attached is a tabulation of manual versus computer calculations of chlorine delivery for the month of July. In August we stopped hand calculations. I hope that this will answer your questions. If you need any other information, please call us. Very truly yours. AMC :edh Attachment CCR 000038710 f f **33-670077 E2V0E/2E0ASSEUFP CHLORINE TO CONOCO ............ ............ .. ( Manual Computer Calculation Calculat ion 1 2 3 A 5 6 7 8 9 10 11 12 13 14 15 % T~ --ri {| I1 j[ | 11 19 20 21 22 23 24 25 26 27 2.8 29 30 31 32 33 34 35 i*h j '^7 ^ 38 39 [ 40 | f j! i ii 1 i ;; 11 1i !i j ;i i t- i | j. i| i :i {' tt , , l] 1 i i i I| :j i i| ii :j >j i1 i| ! i 1; ii ;i ii 1- ii i ; '| it 95oj>00 789100 966300 954200 92l|)06 919800_ 925700 918500 TTTTT 2.06300831^00 901S>00. 890t>06 903500 IT 895#:00 fifth l110- 203300 910^00 i !1 l : 9O75OO !11 1 877200 8861)06 948j} 00 T> 790200 965* *00 953- iO0 922; 200 919000924&00 i 917 >0 0- 9051 iotD 830 bo0 9012Q41 888200 903t>00 III 1 a95ip 0 1 B83800902^.00- 909^00 11 11 906' to0 878 160 885l0O 889(f>00. 889100. 903*.00 902900 881600 884200 89/. J>00-1___ -- 893f>G0 890too: 890300 887000 1 n 876jZ.QQJ___ 8321'ool 8803001 886300 876 ,00 832 *008791 JO0 898500 915^00 897 HQ915^00 7 7 99 1 >00 i1 !1 1 ! 1 i ! 1 | ii (l i' f ! 11 i1 1! 1 1 ,. ' ' 1! ; 7 7 79 ,00 i! i1 i )11 i 11 11 1j 11 ;i j111 j i 1 s! i! i 1 i1 1' t1 j1 | 1! i' i lj | ! ;1 1i ;I 1 i 11 1 n 1| l ! |1 11 1l in 1 1i i !1 jI 1i i ] ! 11 ,1 !j 1 j 11 1; '! ! !! -- < >* 5 2T- j J 1! it 11 ji i 1j !i 1 1 11 i! !i i 1 I! 1 !! L1 l1 'j 1; j 1 11 1 r1 j i i !! 11 I | 1 i> 1 1 iI : '1 f ; l r 1? 1i i^ 11 if' 11 J , 1 11 > 1 i. 1 1; ir ! j- 1i ! 1 1 . 11 ; ! 11 | J 41_IL 11 ;! , Jl 1; '1 1i ;i i1 1` '1 : | ; :| ,5 r. ,! July, 1971 1 1 ;t 11 i\ !i i i ; 11 1` 1! ii 11 1 ;' -1 1; 1: :j !i >1 j t i 1 1 11 1 ij !j 11 _LL ! 1 l i 1 11 ! 1 ! l 1 !I 1 11 I! i1 | ji 1 11 i ! 11 1 i ! 1__ i! j \! 1! 1i 1i !] i 7^ 11 11 i 1 ! i` ( i! ;1 1: 1> j | 111| i| 1l i' !1 |1 1 }II 11 ;| !j 1j jj !, |1 1 |; I1 1; 1' ij 1 1i 11 : ; 1 . 1! t 5 t 1 1 1 1 1 1 1 r 1 2 2 2 2 2 2 2 2 2 2 3 ;! ;. ;1 ;j ecu ;1 ... 3 -- 3 --3 oc U(J*8 7U 3 3 11 !i :I * [! - --- - 3 3 3 ii 1 1 -- 'i... 1 1 Qt^JL .FlFk.y Fi+FeFts*, LF^ _ <* C - FJvF^y F,,.F1. ! j ^ls c^.Fg^yi^ -H ---- ------------------cr^_ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ / Oi /? C V^n-_ _ _ _ _ _ _ _ _ _ _ _ ^ UJj ,* / Oi/? FtrF^y It 1 | i CCR 000038713 * INDUSTRIES SEND COPRcSPONDtNCE TO. PPG INDUSTRIES, INC . P O 30a ! 000, IA.XE CHARLES, LA 7060 I in;p^?SNo 'Customer ord?r no J11` S1'i = F=0 700653C S!CCNTI:JE:4TAL oil CO DIV 713753 B0X 197, PURCHASING DEPT ^HOUSTON, TEXAS 77001 ! elste--`h :o:c 1837200 NY-2134 \ Cl AS) j 7n,/,, 1 net 30 AUGUST-C 8-791 23801 3-31-71 sCCNTIllENTAL OIL CO "WESTLAKE, LOUISIANA PIPELINE lOfST'^A- .:n ; |507017001 1 V* ``r',t KOv LC 03 LC 1,';, 'L 11 . _i l. *> COL 4;* - , iftU`Vs' \ -i 51*0304p ** . Gaseous Chlorine delivered through pipe line for the month of August, 1971 30,971,700# USS DIAMOND EXCHANGE j1 (r Barges 5,545,^00# Tank Cars 3,740,000# OJC -O 21,636,300# 40.00 433,726.00 1 NT Plus 2.00NT Handling Charge for Unloading 1692.7 Tons 3,385.40 '( 437,111.40 o 4 * -( . j 1 CCR 00387l4 x INVOICE COPY We hereby certify that these goods were produced m compliance with oil applicable requirement! of section* 6, 7, and 1 2 ot *he Foir Labor Standard! Act, a* emended, and of reg^ioT;on> and orders of the United State* Deportment of Labor issued under section 14 thereof ALL CLAIMS MUST BE SUPPORTED BY BILL OF LADING AND FREIGHT BILL SEE REVERSE SIDE o -X L . o c_rr M 'Of YA o> T? C-O. "7 -X^O tO- . O0R MotrH 80. "! /Y-'V. '' * r"R- 7 ; O. -oSf Y/ \ - C/or/ I + o.v; I/ s; "2. i \; v Yy1 . o s 'i o ci o / \ -- O . O \~i csy "i O. 9 &79 0I Y <fZoyA& u`T'TL fX c 1 ! 'CO Y 0.9 C C 9 o "T9' 1 Fpt Y ':- R C ! O.992 9a / o.999769 O. 9 9 9 / 2 2/ \ <^-r~tK o c cS ^ a^C'Y \ o o 0.90/12 9 x <0.99'79rT5&-^r~Ch-*? 937X9 05 9637;,' O , C? Q-, "7 R X -- Ol f- 02 OL/j'/t / o. '//'ViCC 2? /FTRtO: ft <C A/C O /Av/'t. X AA6 O. 9 2 90 ?2 9202 / -7 / 0.9 9' 9 6 7 2 -A 9.9 9 7/22/ y y< ? 02 9 c/ 9 7. 7 S 9. vO o / Tota i_ do 1220 erri o nj ~ 0,9 99201 < 0, 99OO/a - <0.9922X0 ._C3o9t^^L.0-'.?.9 ?3/o|) X 5PO X <42, -- . .! dc?0'?& 4 v (J2xxJ Co CONTINENTAL OiL COMPANY CALCULATE;;-; SHEET ." - Is... r<; q.-_.2-3~y 1. title. Job ,,oW \__O \ NJ Weverc. mc- State CCR 000038717 XA KS I , - -r i A z'-t + . iz~r- / * ,9'Z'Z,C''T .72'2 2 * * 1. SZ ? Z * , -=7 i O o *7. 0 C-':-' * OVo"/"; loom no O p 2, P oo i=i PGr " /\/f=:>o^ '' M tTH^O R rp ^Vcco -: \- a \r Z1 . i & * (a O . ! <1 7 Oo / X , <R5_" ^ * A / (R / \ to1*--'- ^R5 R) / /X `fcv v. _r'w^-<-*' >' A.- R p<A M Njz^- " H EOT o' o o |o gsov / n . ^^o/o /oc? /-?$> (SJc^L xAnr-r-- (._P /\ , lr^CvT i O 0^>0- |OTOM IOG 3TiC. [OPU/ | 0,0 -S>7 fO"7 \ . '._; ^ A X >5* 9 (B/UJC. ^ 7/ CCR 000038719 CONTINENTAL OIL COMPANY :: A L. C U A A T j o N S MEET Job No . ..Si ^te II CCR 0 0 0 0 3 8 7 2 5 m.____ Calculations for Steam, Vapor, or Gas ' 351 SPECIFIC WEIGHTS OF GASES AND VAPORS Compressibility. No gas or vapor follows the simple laws of Boyle and Charles exactly. The deviation from these laws is called compressibility. A number of formulae based on theoretical considerations have been developed to supplant Boyle's and Charles' laws at high, pressure, but all are cumbersome to use and none gives an exact result over a wide range of conditions for all gases and vapors. The theorem of corresponding states correlates the deviation from Boyle's and Charles' laws with the ratios of temperature and pressure to pseudocritical temperature and pressure This correla tion is defined by the value of Z shown in Figures B-2519 to B-2524, pages 355-60 inclusive. These Z values substituted in Eq. 47 will give a more accurate value for y/ the specific weight at flowing conditions. For gases of known molecular weight, mv the specific weight can be computed from the formula 7/ " 10.73T/Z/ ^Eq- 47J in which pf is the flowing pressure, psia; 7/ is flowing absolute temperature R. F. + 460; and Z/ is the compressibility ratio at flowing conditions. When measuring gar in volume units, both base and flowing conditions must be correcled when usin? combressibihty ratio data. On wet gas, Zb the compressibility ratio at base conditions may be appreciably less than 1.0. The combined correction factor is Fav. (See pp. 402,' 403, and 411.) If a specific gravity. G,, calculated from the known m- of the gas as is common when measuring some industrial gases[ is sub stituted for G in the gas flow equations, 51) The specific gravity of natural gas is usually determined by test. Hence, G includes any effect of compressibility at test conditions and m,, * 29GZ*. Substituting in Eq. 47, 29pjGZh 2J02pfGZb 7/ " 10.73 7/Z/ " T,Zj (Eq. 50) 352 Steam Flow Measurement Since yj is a half power term in the flow equation (see Eq. 78, p. 406), the supercompressibility factor when using an experimen tally determined specific gravity is (Eq. 51a) CHARTS USED TO DETERMINE Z Figure B-2518, page 353, is a chart based on the average char acteristics of refinery gas. It permits the quick reading of an estimated value of reduced pressure (pr) and reduced temperature, { Tr) for the use of the compressibility curves, if the flowing fluid is a refinery gas. Follow up the abscissa corresponding to the flowing temperature to the diagonal line corresponding to the molecular weight of the gas or vapor, and read from the ordinate the value of Tr. Determine p, in a similar manner. Refer these values to the compressibility curve of the most readable reduced pressure range and read the value of Zf for use in Eq. 47, page 351. If the composition of the gas is known, the pseudocritical ab solute temperature (Tca) and the pseudocritical absolute pressure (pe) should be estimated from a weighted average of the critical constants on a volumetric or mol fraction basis . (Eq. 28) A-S (Eq. 27) Figures B-2519 to B-2524, pages 355-60 inclusive, show the aver age correlation according to the theorem of corresponding states of the 30 gases and vapors listed in Table 28, page 354, except as listed. From the correlations, it would appear that these curves could be used with reasonable accuracy for most gases. The exceptions listed under the titles should be observed. More accurate correlations for some conditions may be obtained from plots based on kinetic parameters. If interested in further study of the subject, see Reference No. 30, page 537. Figures B-2519, B-2520, B-2521, B-2522, B-2523, and B-2524, pages 355-60, are the Compressibility Charts 6f Nelson and Obert, Northwestern Technological Institute, Evanston, III. VIII. GRAVITY CORRECTION FACTOR, In the chlorine supply contract It is stated that "The gravity correction factor. F^, will be the calculated ideal specific gravity using molecular weights and calculated daily from the gas composition.11"- Therefore, subroutine'"FACTG" computes Fq by the equation (5) = Vol. fraction of component i by daily analysis Mj = Molecular weight of component i When xi does not equal 1, the balance is assumed to be air. IX. SUPERCOMPRESSIBILITY FACTOR, Fpv By definition, the supercompressibility factor ?s (6) Where Zg is the compressibility factor of the metered gas at standard conditions (60F. and 14.73 PSIA), and Zp Is the compressibility factor at actual flow temperature and pressure. Subroutine "FACTZ" contains a table of components compressibility factors at 60F. and 14.73 PSIA. They are: Chlorine Carbon Dioxide Nitrogen Oxygen Hydrogen Carbon Monoxide Air h == 0.98790 Z2 0.99536 Z3 = 0.99922 *4 a 0.99892 Z5 1.00068 z6 - 0.99906 z7 a 0.99917 Calculation starts by computing Zg z,, * 5* z> . e> -8- 000038726 ^CCR Then the compressibility factors at actual flow temperature and pressure are calculated by calling two special subprograms. They are *ZCHLR" for compressibility factor of Cl2 "ZINER" for compressibility factors of all other components Then the value of Zp f$ computed by ZF = Zx,.ZF1 (8) And Fpy ts calculated by Equation 6. X. COMPRESSIBILITY FACTOR OF CHLORINE According to the chlorine supply contract, the compressibility ciT chlorine is calculated as ?n Kapoor-Martin Thermodynamic Proeerties of Chlorine, University of Michigan Press, 1957. In this kook the gaseous volumes are calculated by the Martin-Hou equat?on-of-state. T 5 4r -K Tc -| 3 P(V-b) - RT(V-bf -A2 + B2T +C2 e C I (V-b) - - [*3 + V +C3e`KTc ] (V-b) - A4 (V-b) - * [V + V '^J = 0 Special subroutine "ZCHLR" solves Equation 9 by a trial-and-error method based upon Newton-Raphson Algorithm. Since Equation 9 is of the fifth order for V, it has five roots. In order to avoid that the solution may diverge toward an un wanted root,provision is introduced so that the solution be in the range of compressi bility 0.275 (critical point) to 1.5. The constants for Equation 9, as given by Hapoor-Martin, are as follows: A2 = 0.46496772246 . . B2 = 2.129865506x 10 C2 = 0.098636526 A3 = 8.8856032387 x10"3 B3 = 0.35635855479 x 10"5 C3 = 2.252937606 x 1 O'3 A4 = 6.60499557 x 10*5 B5 = 0.3692381884 x 10-9 C5 = 0.45521856137 x 10"^ R * 0.010296 (ATM)(CuFt.)/(Lb)(-dR) b = 0.00608353 K = 2.3 Tc * 750.9 R -9- !CCR 000038727 A uc= '7 . ( A ~7 ; Vy_jX 77-- - oj~ y 1j r1 P A A 7W - o. 1 to y - X7toj' -A ;o/ai fr O CC,^ 9. 7 to v5V. X 757 `7. 77- 7 (' 79 ) A 77 Vifeo _ 1 ,ooo Z i y_"7 yt^ C. 7 ',' 7 ,' ^C'77'' ^ J to1-/ X 7 ^ ^ /. O Z !0 S _y y _y( 7. A ?v <- ) ^ tv , \ (*0 , y zCA^ )(7'. ^ ^ A' A ~ 7- 7 , " * " -' 7'o j \ O ' utoi ) 2.5^ n A DTi^>ci pO^Cto ,7 _// A,, tf1 e> ( ^ / "7? 7 t/-tr~\ , I, O oO '1. I ' 'J ', ( . 9 X a / 7 X' 0. 9 7 ?. 7 Xo. AW 7 ?? XV I 0 ? / c >.. \ V po.cjjo^S )CS' A A )C '7 7 (-/ A A) CO, y 7 A 0 i ' y ov 3 2.. -/ X ^,i2 7c?^ ,. \ O 7X 9 77 7 - X.' 7 I T! .E CONTINENTAL OIL COMPANY ~ '5|LCULATIOK S^EET CCR 000038728 Job No.CuL-PTA^t \M C "C . 77 X- 7^ Y, 7^^ O-Y., '77p C-' U Y \ 7" c- 'j.t- - 27 CD_K, (% CY ) C * !S7 7) 77 - -S %--/ "i. Co ( 1 - ao,c= "i 7 ( . 9 S 3 / 7't \o. =i s 2. T Uo Y- <^l7 C09 2 ,/ X (\. o\`3 0^T_.\(2C. 5T,)(z.q jC- \Sc'fU\X0'C7CoO) IOTi3^7. 'Y'OAy Co fN TA\ IM\) 71 *-\\_oE_\ is> C W,, . f'-- C = A'' = C-s_ -- XY - X.. Y sL/-.l 0 c:x 9 01 Y c5l 2UC A \ O. / 737CC (/ O , O ^~) '- O. & ZZ-I '3 2-10 /. OO C? /. CIO O' SS + , *7 7 i ) J2- N r-d. 1:--. 3 1 < i cn :szy /.cV* . ?76?u; v O 9 9 o S' 2. \ 3 l/ y i ^ w t*1 O - V 1 3 / ij; 3 c.:;zc.'C ^ 7.70? ~ b . 7 1 300 V C 0.2S773S7 Y. 3&9(cDt/-7Z~?&>6,)(l oo,V.oovj(G.99o5 ){Y 9<?SCfc3)(^Y.?5S^^//^7i V,YyY6-,9/^^ ^/nrz- Y~o-^a l_ "Terr a l_ - 95Wc-9/6^ 7C JO CC 77C5 C ?'t&6;V / . ; . 'y' C-O'KJ'T*'A I NJ . O A LO /-/ .'-si fcr * Ma 7H EV (&UU(0_ \ (+ H \C5' feL> BY . ______ 0 A V L. 7 - Cv---;/ ... 1 i. TITLE CONTINENTAL OIL COMPANY CALCULATION SHEET CCR 000038729 Job No -M A MGE \L4."7 "2 yG x Nj 'ip ' i z \ ! <- C jV. o L?C>. GO VG> l (X o H i..oP3_ \ i\j t9 1a CmcjhnPEEI M iTto&tw 0 3 l_j: c= t N A ^ IX Xz . 90X0 . G>2. I X . oc.'" 7 1 / . o oX 9 7) ^'X ':-y 30I--I "* A- ^IT" * 9' <^JLt <C- c'lt -. '. T7 w s ''V'vX M 3'' o x Ml 7 \,o* J7vAV33<^ x _ / \ V9>/ O. / v '.3, , ' ^.71) <==- 'BAC.G .9X79O . 99 uu ( .99 9 9 3 ^ . X -; . 7 9 '' Z X ! - 99r^o 9 O 1 s>-- O /' O' - 7. / -.X_.-a'GO X ^-V..l_. vx.:-/' 9 79 <-/ . v9 7 9 37 L -997/3' .7 99- 'V / 9S - 3- /'/ /. C C..090C <3 M t7 Hi O "D !r ,-h s / . " ^ 30/ . `TP'f 3 0 X ./^9X/ o . /7 7373, 79.7 3 7 P)X X * ~ZZ> < *^0 2'i -< . 33 / G' to j" M a 1 T (SXUcG 9 --. /y -- ~i j CONTINENTAL- OIL COMPANY OCR 000038730 JOB No_____ OF Mor-h-i '. = ^3 O O "T v--\ _ _ E-Rrio p_S____ .... . ,9.P^9 3 3 * 0 `/OR- R> " , 9 ?1 / 9 3 ^ ws'S'O <-/ '.. . /Aw G_ f (Rooc maos by. C<-ICK5D EY, Oats C/ -- /Q ---7 _ /____TITLE CONTINENTAL OIL COMPANY CALCULATION SHEET J03 No,. F1 R>