Document XzL2knjVgVO0YnQRnzYJ69Jox
' CV:V:5 CHEMICALS ' , . ; , J
--------------------
j
INDUSTRIES
INTEROFFICE / LAKE CHARLES
TO (See Distribution) FROM Charles Breedlove
DATE SUBJECT
Septenter 19, 1968
Chlorine to Conoco Meter. Manual Supercompressibility Factor
The calculations enclosed herein are the "basis for concluding that the supercompressibility factor, F, used in calculating the gaseous chlorine flow to Conoco, need not include the effects of each of the minute quantities of inert gases found in the gas.
In lieu of this, the effects of all the inert gases on F.^
are approximated by multiplying the number,, one (l), by the percent
by volume value of the inert gase3. Thl3 value is then added to
the Z value determined for the percent chlorine in the gas, the
square root is tahen of this sum, and this value i3 divided into
1 to give the supercompressibility factor, F
. - gfc/j^r 1. ^
8TM!.
V =1^012 0,5 Clj) + (10058 - $ Olg) 1.0
CB/ tjg
Distribution: J. M. Jackson D. L. Duncan A. T. Clinger J. A." Champagne
lV. 73 x 7Q. r1 2-. I. p x 10.13 K- p520 '
O. I
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w.ri v '70.9 1 . ' "'d ` ,
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{CCR 000038735
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OBJECT
The object of the following calculations is to determine if the effect of each of the inert gases found in the gaseous chlorine flow to Conoco need be considered individually when calculating the supercompressibility flow factor, (creating a very difficult series of cal culations in vie:; of varying percentages of the five prominent inerts), or if the inert supercompressibility factor may be approximated (a) by using the supercompressibility of air or (b) by using the inert volume percentage multiplied by one(l).
BASIS OF CALCULATIONS AMD CONCLUSION
The following calculations and conclusion are based on the folio::!ng considerations:
a) The PPG/Conoco chlorine gas sales contract specifies that the supercompressibility factor, Fw, must not contribute an error of more than 0.25p of the total daily flow.
b) The percent by volume values of inert3 used are'correct and representative of a ":;or3e" condition (verified by Liquefaction); therefore, the supercompressibility factor determined for these inerts :;ill be assumed to be correct. I
c) Compressibility information on the inerts found in the chlorine gas is not available over the ranges of pressure and temperature that Liquefaction may operate.
PROCEDURE
a) Assume the following percent by volume values.
CI2 co2 -
^2 "
95-30/j ltS<#
0.90
0.3^ 0.06^
Q. S' u
Determine the supercompressibility factor
(inerts), by using the
tables on pages ^ and the following formulas:
1} Zinerts = zCl2(/JVol.) + ZCOg(ftyol.) + Zj, (Vol.) + Z0 (;iVol.) + "2
ZfcjftVol.) + ZCO(/,V01.)-
2) inerts)
1
V ^inerts
(See Calculations, page 4- )
i (COR 000038736 l
c) Determine the supercompressibility factor F^v(air) by using
the tables on pages
6 and the following formulas:
-1) ZairT= ZC12($ Vol.) + Zair(lOO^ - $CL>)
2) Fpy(air) . . 1 _ _ VZair
(Sea calculations, page j4~)
d) Determine the supercompressibility factor F (one), by using the table on page 6 and the following foiSJulas:
1)zone = ZC1 & Vol,) + 1*(100^ - ^Cl2)
2) F (one) =
PV
1
' r--
zone
(See calculations, page )
e) Using F_ (inerts) as the correct value, determine the $ error -caused $$ approximating the inerts (a) by using air and (b) by using a percent of one(l) by using the following formulas:
a) $ error (air) =
F^lnerts) - F '(air)
, *1 1
i 11 i ................
Fpv(inerts)
X 100,^
b) $ error, (one)
= Fpv(inerts) - Fpv (one) x ^
FpV(inerts)
\
'
(See Calculations,
page &
)
CONCLUSION
Since the PPG/Conoco sales contract specifies that the error caused by reading the supercompressibility factor, F , must not contribute more than 0.25$ error in calculating chlorine gas flow to.Conoco, and since the above calculations indicate the error' between the F (inerts) factor (determined for a piercent by volume mixture of chlorine and inerts) and the F T (one) factor (determined' for a percent by volume of chlorine and (5T6o$ - $Clg)1.0) to be 0.014?$, then it is to be concluded tixt ihe supercompressibility factor used in the chlorine to Conoco meter manual will be determined by approximating the effect of the inerts with a percentage of the number one (1.0) as follows:
F pv .
XI
1 ...... ^______ ... "VZC1 (* V1*) + 1.0(100$ - pClg)
--Z
\ CCR 000038737
The smaller -nercenta^e of error between F (inerts) and P (air) of 0.01277; was not sufficient in terms of accuracy to warrant* the increased difficulties of calculation if P (air) had been chosen to approximate F (Inerts) instead of Pp^one^Y
CCR 000038738
CALCULATIONS
The following calculations are made using the percent volumes listed in part (a) of the procedure and under the following conditions of temperature and pressure.
Temp. = 553R
Pressure = 58.92 PSIA
1) Supercompressibility factor Fpv(inerts):
Zinerts " Zcl2( Vol.) + Z^fti Vol.) + ZN ( Vol.) +
zo2$ vol.) + z^ft vol.) + zco$ Vol.)
See table JL__ , page 6 > for the Z factors inserted below.
zinerts " (0.91970)(95-3/,) + (0.96190)(1.6$) + (0.9996l)(l.$)
+ (0.99799) (O.95S) + (1.00240) (0.3^)
+ (0.99904)(0.06^) = (0.91778) + (0.01571) + (0.01299) + (O.OO898) + (0.00341) + (0.00060) (0.91778) + (0.04169) O.95947
FpV(inerts)
1 ~\J^`inerts
1 11 *
,
** 1 l/o.95947
"
1.02088
,
2) Superccaapressibility factor Fpy(air):
. ZairT - *002W VolO + W* Vol.)
o (0.9197)(95-8;;) + (0.99912)(4.2SS)' = (0.91778) + (0.04196) 0.95964
Fpv(air) *
1. "/zairT
" 1 "Vo. 95964
1.02075
fCCR 000038739 4
3) Supercompressibility factor, F (one): pv
Zone = zCl2^ Vo1*) + C10^ - #Clg)- 1.0
(0.91970) (95-3#) + (4.256) 1.0
= 0.9177G + 0.04200
= 0.95973
Fpv(one) .
1
** 1 ^0.95973
1.02073
4) Since F(inerts) is assumed to be the correct supercompressibility factor for the given conditions, the error caused by allowing "air" or "one" to approximate the inerts can be determined. Also, since
Fov is a linear multiple in the equation used to determine the tons/day value of flow to Conoco, the error determined will be
the percentage error in flow caused by the F factor chosen,
F (air) or F (one). The percentage error are determined as
fBIlows:
PV
a) # error (air) ** F?y(inerts) - F?v(air) Fpv. (inerts)
X 100?i
= ' 1-Q2038 - 1.02075 1.02088
" 0.0127#
b) $ error (one) Fw (inerts) - F (one)
* ____ _
r* _ _
Fpv(inerts)
" 1-02038 - 1.02073 . 1.02088
0-0147#
.lUt-SaL*
\
Cc 000038/40
%
*
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Table 1: Compressibility Factors for Air, 00^, COj ifgj Og siicl Hg From: Tables of Thermodynamics & Transport Properties
R
Air CO, CO
504.0 522.0 54o.o 553.0 576.0
504.0 522.0 540.0 558.0 575.0
504.0 522.0 54o.o 558.0 575.0
504.0 522.0
*ja 540.0 55S.Q 575.0
504.0 522.0 54o.o 553.0 575.0
504.0 - 522.0
54q.O 553.0 575.0
Pressure (P3IA)
14.73 (1 atm)
58.92 (4 atm)
0.999^9 0.99960 0-99970 0.99973
0.99935
0.59372 O.99441 O.995OI
0.99553 0.99593
0.99942
0.99955 0.59966
0-99975 0.99984
0.99793 0.99341 0.99379 0.99912 0.99940
0.9746 0.9774 0.9793 O.9819 0.9838
0.99773 0.99623 0.99866 6.99904 0.99936
.0.99953' 0.99973 0.999820.99990 0.99996
0.99915 0.99928
0.99939 0.99949 0.99953
1.0006 1.0006 I.0006 I.0006 1.0006
0.99854 0.99895 0.99930 0.99961 0.99968
0.99681 0.99713 0.99759 0.00799 0.99634
1.0024 1.0024 1.0024 1.0024 1.0024
103.11 (7 atm)
0.99656 0.99732 0-99797 0.99855 0.99905
,
0.5550 0.9600 0.9644 O.360I 0.9714
0.99610
0.99697 0.99772 O.99838 O.99896
0.99749 0.99620 0.99882 0.99936 0.99933
0.99403 0.39500 O.9950O 0.39650 0.99712
1.0042 1.0042 1.0042 1.0041 1.0041
;
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OCR 000038741
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1 Made by_____
n Checked by.
Date. _
P C, "
OF
CONTINENTAL OIL COMPANY
CALCULATION SHEET
TITLE ._ ________
. ___________________
CCR 000030743 i1 I ! 1
JOB No____ _
f.eld State