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NBS TECHNICAL NOTE 684

U.S. DEPARTMENT OF COMMERCE/National Bureau of Standards
NATIONAL BUREAU OF STANDARDS

The National Bureau of Standards' was established by an act of Congress March 3, 1901. The Bureau's overall goal is to strengthen and advance the Nation's science and technology

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1 Headquarters and Laboratories at Gaithershurg. Maryland, unless otherwise noted: mailing address Washington, DC. 20234.

- Located at Boulder. Colorado 80302.
Jkiteeu ot itwjKto

* H H)77 -V \CX-,

3 o

££ 3

Thermophysical Properties of Ethane,

from 30 to 600 K

at Pressures to 700 Bar

-e j^4 /Kfc- <so, 6?S

R.D. Goodwin

H.M. Roder

G.C. Straty

Cryogenics Division

Institute for Basic Standards

National Bureau of Standards

Boulder, Colorado 80302

/'

****

^•fAU Of *

U.S. DEPARTMENT OF COMMERCE, Elliot L. Richardson, Secretary

Edward O. Vetter, Under Secretary

Dr. Betsy Ancker-Johnson, Assistant Secretary for Science and Technology

h, NATIONAL BUREAU OF STANDARDS, Ernest Ambler, Acting Director ^"^ i

i

'

' Issued August 1976
NATIONAL BUREAU OF STANDARDS TECHNICAL NOTE 684

Nat. Bur. Stand. (U.S.), Tech Note 684, 326 pages (August 1976)

CODEN: NBTNAE

U.S. GOVERNMENT PRINTING OFFICE

WASHINGTON: 1976

For sale by the Superintendent of Documents, U.S. Government Printing Office, Washington, D.C. 20402

(Order by SD Catalog No. C13. 46:684) Price $3.85 (Add 25 percent additional for other than U.S. mailing
CONTENTS

Page

PREFACE vi

ABSTRACT 1

1. INTRODUCTION 1

2. PHYSICAL PROPERTIES AND THEIR REPRESENTATION 2 2.1 Fixed-Point Values 2 2.2 Melting Line and Vapor Pressures 3 2.3 The Orthobaric Densities 3 2.4 The Virial Equation of State 4 2.5 The Equation of State for Single Phases 5 2.6 The Ideal Gas Thermodynamic Functions 7 2.7 The Heats of Vaporization 8 2.8 Specific Heats C (T) at d, = 14.5 mol/Si 8 v b 2.9 Specific Heats for Saturated Liquid 8

3. COMPUTATIONAL METHODS 9 3.1 The Homogeneous Domain 9 3.2 The Vapor-Liquid Transition 9 3.3 Compressed Liquid States 10

4. TESTS AND COMPARISONS OF CALCULATED AND MEASURED PROPERTIES .... 10

4.1 Calculated Critical Isotherm, P(p) 10

4.2 The P-p-T Compressibility Data 11

4.3 Heats of Vaporization and Closure Computation 11

4.4 Specific Heats C (p,T) and C (p,T) 11 4.5 Speeds of Sound, W (T) and W(p,T) 11

5. TABLES OF PHYSICAL AND THERMODYNAMIC PROPERTIES 12 5.1 Calculated P-p-T Isochores and Isotherms 12 5.2 The Joule- Thomson Inversion Locus 12

5.3 Thermophysical Properties of the Saturated Liquid 12 5.4 Thermophysical Properties along Selected Isobars 12 5.5 Tables in British Engineering Units 12

6. ESTIMATED UNCERTAINTIES IN THE THERMODYNAMIC PROPERTIES

TABLES 12

7. ACKNOWLEDGMENTS 14

8. BIBLIOGRAPHY 15

Appendix A. Symbols and Units 21 Appendix B. Fixed-Point Values for Ethane 23

Appendix C. Conversion of Units 23

Appendix D. Computer Programs for Thermo functions 24
LIST OF FIGURES

Figure 1. Generalized density-temperature phase diagram, showing paths

used for thermal computations

Figure 2. Deviation plots for densities

Figure 3. Deviation plots for specific heats, C Figure 4. Deviation plots for speeds of sound

Page

52

53

55

57

LIST OF TABLES

Page

Table 1. Experimental and calculated vapor pressures 58

Table 2. Experimental and calculated saturated liquid densities 62

Table 3. Experimental and calculated saturated vapor densities 65

Table 4. Experimental and calculated second virial coefficients 66

Table 5. Experimental and calculated third virial coefficients 68

Table 6. Summary of P-p-T data 69

Table 7. Coefficients of the equation of state 70

Table 8. Experimental and calculated ideal gas thermodynamic

functions 71

Table 9. Interpolated ideal gas thermodynamic functions 72 Table 10. Experimental and calculated heats of vaporization 73

Table 11. Calculated P(p) critical isotherm 74

Table 12. Experimental and calculated P-p-T data 76

Table 13. Heats of vaporization and closure computation 104

Table 14. Comparison with specific heats, C (p,T), from

H. M. Roder 105

Table 15. Comparison with specific heats, C (p,T) from (33)

Bier, Kunze and Maurer 109

Table 16. Comparison with specific heats, C (p,T) from

A. Furtado 112

Table 17. Comparison with speeds of sound W (T) , from (1)

Poole and Aziz; (2) Vangeel; and (9) Tsumura 119

Table 18. Comparison with speeds of sound, W(p,T) from (3),

Terres, et al 122

Table 19. Comparison with speeds of sound, W(p,T) from (9)

Tsumura 124

Table 20. Calculated P(T) isochores 126

Table 21. Calculated P(p) isotherms 148

Table 22. The Joule-Thomson inversion locus 172

Table 23. Thermophysical properties of the saturated liquid 173

iv
LIST OF TABLES (Continued)

Page

Table 24. Thermophysical properties along isobars 176

Table 25.*The Joule-Thomson inversion locus 246

Table 26. *Thermophysical properties of the saturated liquid 247

Table 27.*Thermophysical properties along isobars 250

*Tables in British engineering units,
PREFACE

The Cryogenics Division of the National Bureau of Standards, with support from the

American Gas Association, Inc., is engaged in a program to provide experimental data and

computational methods for physical and thermodynamic properties of the constituents of

liquefied natural gas mixtures (LNG) . These thermophysical properties are important for

all LNG technology. All operations such as liquefaction, separation, storage, pumping,

transport, custodial transfer, and regasif ication will benefit from accurate data. As the

commercial value of LNG depends on its heat of combustion, the densities of LNG mixtures

and other requisite properties are especially important data for calculating the energy

content of the liquid.

The compositions of LNG mixtures vary widely, depending on the source and selective

vaporization during handling. To predict properties for a wide range of mixture compositions,

it is essential to know accurately the properties of the pure components and of selected

binary mixtures of these components.

The equation of state for the PVT properties of pure components is an essential tool

for work on mixtures, because from this single formulation there can be obtained not only

the density but also thermodynamic properties such as the enthalpy and specific heats at any desired temperature and pressure for which the component exists as a fluid.

A major contribution from this laboratory for computations on the thermophysical

properties of LNG and its components is the development of a simple, rational equation of

state which originates on the liquid-vapor coexistence boundary, and gives a qualitatively

correct behavior for derived specific heats, especially about the critical point. An

earlier form of this equation was used in our report, "The Thermophysical Properties of

Methane from 90 to 500 K at Pressures to 700 Bar," NBS Technical Note 653, April, 1974.

In addition to the above publication, this laboratory has provided accurate experimental data on the densities, compressibilities, vapor pressures, melting pressures,

specific heats, sound velocities, dielectric constants, refractive indices, and viscosities

of compressed and liquefied methane at temperatures down to 90 K.

The report, "Provisional Values for the Thermodynamic Functions of Ethane" by R. D. Goodwin, NBSIR 74-398 (June 1, 1974) was prepared to discover the availability and

deficiencies of experimental data needed for thermal computations, and to provide useful

thermodynamic properties data at the earliest possible date. In the present report those

results are modified by use of new experimental data, and by selection of a better

computational path for entering compressed liquid states at subcritical temperatures.

The present report makes use of many new physical properties measurements to obtain more accurate tables of thermodynamic functions, and provides the first of such tables

available for liquid ethane below its normal boiling temperature (184.5 K) . In this work

we have used a simplified and more highly constrained version of the equation of state than

formerly used for methane because the PVT data, taken from various sources, are not as self-consistent and precise as those for methane. Auxiliary interpolation functions also are improved, e.g., to accommodate the enormous range of ethane vapor pressures and

saturated vapor densities.
THERMOPHYSICAL PROPERTIES OF ETHANE, FROM 90 TO 600 K AT PRESSURES TO 700 BAR

R. D. Goodwin, H. M. Roder, and G. C. Straty

Cryogenics Division, Institute for Basic Standards,

National Bureau of Standards, Boulder, Colorado 80302

The thermophysical properties of ethane are tabulated at integral

temperatures over the entire range of fluid states at temperatures

from 90 to 600 K along isobars to 700 bar. A new form of the

equation of state is employed for the first time. Thermodynamic

functions in the compressed liquid at T < T are obtained by use of

specific heats C (T) along a high-density isochore, and C (T) for

the saturated liquid. Use of these new specific heat data and also of new PVT data provide the first reliable set of thermodynamic functions

for compressed liquid ethane at temperatures below its normal boiling

point.

Key words: Densities; enthalpies; entropies; equation of state; ethane;

internal energies; isobars; isochores; isotherms; Joule-Thomson inversion;

latent heats of vaporization; melting line; orthobaric densities; specific

heats; speeds of sound; vapor pressures.

1. INTRODUCTION

The economic importance of ethane, as one of the major components of liquefied natural

gas (LNG) mixtures, is well known. Our objective is to produce basic thermodynamic information, needed for the prediction of the thermophysical properties of liquefied natural gas

mixtures. For the wide range of compositions encountered, it will be necessary to utilize

accurate thermodynamic properties of the pure components.

In [30] we computed tables of provisional values for the thermodynamic functions based

on available specific heats and PVT data up to about 1972. To enter compressed liquid

states at low temperatures we used a path of specific heats C along a high-pressure

isobar [24].

This work was carried out at the National Bureau of Standards under sponsorship of the

American Gas Association, Inc., 1515 Wilson Boulevard, Arlington, VA 22209.
Nearly all of the analytical formulations of physical properties data in this report

are new as compared with [30]. A major contribution of present work is the further development of a rational equation of state. As in [31], our description of the P(p,T) surface

originates on a given liquid-vapor coexistence boundary (vapor-pressure and orthobaric

densities equations). It yields a maximum in the specific heats C (p,T) at the critical

point, and has only five arbitrary coefficients to be found by least squares from

experimental P-p-T data.

New experimental data from this laboratory, used in present work, include the melting

line [78] ;\ vapor-pressures and PVT data [79]; specific heats, both for the saturated liquid

and for single phases [66]; and speeds of sound, both for the saturated liquid and for

single phases [86]. New densities of the saturated liquid and vapor from [37, 75] and from

other laboratories also have been included.

In present work we obtain thermo functions in compressed liquid states by computation

around the critical point (see figure 1) using new specific heat data from this laboratory

[66] for C (T) along the isochore at 14.5 mol/£, and C (T) for the saturated liquid at temperatures below T of figure 1. Symbols and units of this report, listed in Appendix A,

3. are similar to those for methane [29].

2. PHYSICAL PROPERTIES AND THEIR REPRESENTATION

2.1 Fixed-Point Values

The values selected are presented in Appendix B.

(a) The Triple Point

The triple-point temperature for ethane is from recent measurements by Straty and

Tsumura [78]. The pressure is obtained from our vapor-pressure equation (2). The liquid

density was assigned for consistency with our fitting function (3-a) for saturated liquid

densities. The vapor density is obtained from our fitting function (3-b) for saturated

vapor densities.

(b) The Critical Point

The critical-point temperature is from Douslin and Harrison [18] . The pressure

is given by our vapor-pressure equation (2). The density was selected tediously by trial,

based on detailed examinations of the critical isotherm and the rectilinear diameter very

near the critical point. Our selected critical density of 6.80 mol/l is lower than the

value 6.86 mol/£, obtained via the rectilinear diameter analysis of orthobaric liquid and

vapor densities of Sliwinski. Other reported critical densities in mol/l are: Douslin and

Harrison, 6.87; Strumpf, et al. , 6.83 + 0.07; Miniovich and Sorina, 6.79 + 0.02. Older

critical densities reviewed in [18, 21, 83], however, range from 6.75 + .07 to 7.32 mol/l,

a spread of almost ten percent.
(c) The Boiling Point

At the normal boiling point (1 atm = 1.01325 bar), the temperature in Appendix B is

from our vapor-pressure equation (2) . The liquid and vapor densities are from the orthobaric

densities equations (3-a) , and (3-b)

.

2.2 Melting Line and Vapor Pressures

The melting pressures of ethane are from Straty and Tsumura [78]. In the Simon

equation,

P = P

fc + A- [(T/Tt

) £ - 1], (1)

their parameters are T = 90.348 K, A = 2559.65 bar, and e = 2.179. The exceedingly small

value which we use for P is from Appendix B.

The vapor-pressure equation (2) for ethane is a modification of our earlier form [30].

Define the arguments x(T) = (1-T /T)/(l-T /T ), and u(T) = (T-T )/(T -T ), when the equation

t t c t c t

£n(P) = a + b'x + c-u + d«u

2 + e«u

3 + f-u'(l-u) £

. (2)

Coefficients of (2) used in present work (for P in bar) are e = 1.30 and

a = -11.38996 24306 d = 5.42844 31006

b = 18.84522 82876 e = -1.36232 70362

c = - 7.63541 51345 f = 0.76924 92586

Table 1 compares experimental data with calculated pressures from (2)

.

2.3 The Orthobaric Densities

(a) The saturated liquid density function is constrained to both the triple- and

critical-points. Define the variables

x(T) = (T -T)/(T -T ), c c t y(p) = (p-P

c )/(pt -pc

),

Y(p,T) = (y-x)/(x

£-x),

when the equation is

Y = a + b'x

1-£ + ex, (3-a)

G = 1/3 b = 0.2818 66182

a = 0.7196 84501 c = -0.2899 37306

Table 2 compares experimental data with calculated results from (3-a)

.

(b) The saturated vapor density function is constrained only at the critical point.

We use an estimated value for the triple point density, d = 1. 52*10 mol/it, merely to obtain simple values for the coefficients. Define two arguments

3
x(T) = (T

c-T)/(T

c -Tt ),

u(T) = (T /T-1)/(T /T -1)

c c t

and the dependent variable

Y(p) = £n(d /d)/£n(d /d. ),

when the equation is

Y = A «u + A

2 «x +

6

i=3

i/3

(3-b)

with e = 0.35, and

A

± = 1.2023 48669

A

2 = 0.1100 05895

A

3 = 0.1371 69205

A. = -0.9803 17935

4 A

5 = 1.3387 56298

A

6 = -0.8077 62749

Table 3 compares experimental data with calculated results from (3-b)

.

2.4 The Virial Equation of State

The following are taken directly from [30]. As seen below, the critical parameters

T , d differ from values in Appendix B. For the virial equation, these are merely

arbitrary reducing constants which do not affect accuracy of the equation. They are retained

from the original work [30] because in present work we repeatedly varied these parameters in

developing the equation of state, and it is quite impractical repeatedly to readjust the

virial equation. For the virial equation of state,

Pv/RT = 1 + B(T)«a + C(T) «a + (4)

the second and third coefficients B(T), C(T) are dimensionless. We reduce temperature and

density at the critical point, x = T/T , a = d/d . Following initial research on the

c c representation of these coefficients, we adopted McGlashan and Potter's formula for B(T),

[53],

B(T) + B

x + B

2 /x + B

3 /x

2 + B

4 /x

4 " 5

, (4-a)

where,

T = 305.37 K

c B

l =

d = 6.74 mol/il

c B

3 = -0.592 947,

B. = -0.041 944.

4

0.522 671,

B

2 = -1.106 244,

Data from McGlashan and Potter were increased by 0.5 percent in absolute value to improve

consistency with the data of Michels et al. [54], and of Douslin and Harrison [18] near

300 K. Table 4 compares data and calculated values.
For C(T) our new representation from [30] is

C(T) = [C 1 /x + C

2 /x

3 + C

3 /x

5 ]-(l-T

o /T), (4-b)

where,

d = c

= 6.74 mol/l

s

-- 0.83253,

V= 0.53488.

T = 305.37 K,

c T = 217.8 K,

o

C = 0.24423,

Table 5 compares data and calculated values.

The virial equation of state usually is accurate at densities up to about one third of

the critical density. In present work it has been used to obtain saturated vapor densities

at low temperatures by intersection with our vapor-pressure equation. It also has been used

to synthesize PVT data along an isochore at 0.4 raol/i, for use as input data in adjusting

the equation of state.

2.5 The Equation of State for Single Phases

The PVT data used to adjust coefficients of the equation of state are summarized in

table 6. From the data of A. K. Pal, reported by Pope [61] , we selected only 13 isochores

at the highest densities, runs Nos. 12 through 24 of table 12, because they were found to be

self-consistent. We at first increased all of his densities by 0.5 percent to make these

PVT data more compatible with data of other authors (table 6) via our equation of state. We finally used adjusted data of A. K. Pal kindly communicated privately by Professor R. Kobayashi, J. F. Ely et al. of the Chemical Engineering Department, Rice University. We

omitted the data of Reamer et al. and of Tomlinson because those of Douslin and Harrison

were believed to be more accurate.

Background on this equation of state occurs in our work on methane and ethane [29, 30],

and in summary reports [31, 32]. As described previously, this equation originates on a given, liquid-vapor coexistence boundary, and ensures a maximum in the specific heats,

C (p,T), at the critical point.

For a given density (isochore) we obtain the coexistence temperature T (p) by

iteration from the orthobaric densities, equations (3-a) and (3-b) . Placing this in

equation (2) yields the vapor pressures P [T (p)] a: of state used here for ethane is described in [32],equation (2) yields the vapor pressures P [T (p)] as a function of density. The equation

P = Pa

(p) + aR-[T-T

a

(p)] + a

2 RT

c -F(p,T), (5)

where

F(p,T) = B(p)- $(p,T) + C(p)- H»(p,T).

Densities a = d/d are reduced at the critical point, and the gas constant is defined for

dimensional consistency as R = (0.0831434) • (d ), bar/K.
The first of the temperature-dependent functions in (5) is

>(p,T) E x

1/2 • S,n(u), (5-a)

where

x E T/T

c

, u(p,T) E T/T

a

(p).

2 2 The value of §(p,T), and of its second derivative, 3 $/3t , both are zero everywhere on the

coexistence boundary at T = T (p) .

The second temperature-dependent function in (5) is t(p,T). It is nonanalytic, designed

to give a maximum in specific heats at the critical point.

We first define the arguments,

0J(P,T) E l-0(p)/T,

0Ja

(p) E l-0(p)/T

a

(p),

where 0(p) is our locus of temperatures inside the coexistence envelope of figure 1,

0(p) E Ta (p)-exp[-a-f(p)],

f(p) E |a-l| 3 /(a

t -l)

3

,

a E d /d is a constant, and d is density of liquid at the triple point.

The function ^(PjT) now is defined as the difference,

V(p,T) E ^(p,T) - ^(p), (5-b)

such that f = at coexistence. Any component function 4» (p) at coexistence is obtained

from any function ^(p,T) merely by replacing T with T (p)

.

The component function selected for ethane after tedious investigations is

<Kp,T) = <Vx + (1-6)'[1-oj + w£n(p)],

where <_ 6 <_ 1. Sufficiently far away from the critical point, ¥ behaves roughly like

2 similar to the term 1/T found in the well-known, Be

The coefficients in (5) were developed for ethane

2 1/T, similar to the term 1/T found in the well-known, Beattie-Bridgeman equation of state.

2 B(P) = B

x + B

2 «a + B«a , (5-c)

C(p) e (a-l)-(a-c )-[C 1 + C -a + C'O2

]. (5-d)

O I I 5

The parameters of equation of state (5) for ethane are

a = 1, 6 = 2/3, C = 2,

o B

x = 0.4875 2227 313 C^ = -0.4311 3918 548

B

2 = 0.3319 8750 982 C2 = 0.0

B

3 = 0.0685 4249 828 C3 = 0.0377 9460 468

Table 7 shows behavior of the coefficients, B(p), C(p).

6
In adjusting the equation of state to PVT data we have obtained a well-behaved critical

isotherm as follows. We constrain the slope (3P/8T) of the critical isochore to equal the

slope (dP /dT) of the vapor pressure equation at the critical point, via the least squares

program of R. D. McCarty [51]. We then vary the slope (dP /dT) of the vapor pressure

equation at the critical point, by adjusting the exponent, e, in equation (2), to obtain a best "fit" of the experimental PVT data. Adjusting exponent, e, in equation (2) has no significant effect upon the representation of experimental vapor pressure data in table 1. We finally explore the effect of small changes in the assigned critical density upon

detailed behavior of the critical isotherm very near the critical point, in order to eliminate negative slopes of this isotherm, as demanded by equations (14) and (15)

.

2.6 The Ideal Gas Thermodynamic Functions

For use in our computations we have represented the internal energies of Chao et al.

[12], by the following empirical power series

9 (E° - E°)/RT = 3.0 + ^

A

i -(T/100) (i+3)/3

, (6)

i=l

The specific heats are obtained by differentiation,

C°(T) = dE°/dT,

v

and the entropies by integration,

5° = />•

J p The coefficients for (6) are,

AS = / C -dT/T.

P

A = 21.705 718 Ac = 906.218 4427

5 An = 65.498 641 A, = -459.230 2545

1 o A

2 = -362.011 5914 A

? = 143.030 0226

A

3 = 853.340 8616 Ag = -25.074 95605

A. = -1123.601 6220 An = 1.897 540044

4 9 The coefficient A is the dimensionless integration constant for S /R. The concise computations are given by computer subroutine IDEAL in Appendix D. Table 8 gives comparisons

with the data, and table 9 gives values interpolated by means of (6).

We have compared the results of Chao et al. with those obtained earlier by Ziegler

et al., (values in Joules, moles, kelvins)

,

T = 200 K

H ~H

o S° C°

_P_ Ziegler et al. [93] 7281.4 210.72 42.45

Chao et al. [12]. 7257.6 210.50 42.26

We see a difference of 24 J/mol in (H -H ) , or 0.3 percent. We have not further compared

these independent calculations. Bier et al. [4] have found a change in the slope of C (T)

beginning near 325 K, with values of C (T) as much as 1.6 percent smaller than from Chao

P et al. [12] at higher temperatures.
2.7 The Heats of Vaporization

Experimental data of Wiebe [89], Douslin [18], and Furtado [24] have been represented

as follows,

6 Q = Y) A.-x

1/J

, kJ/mol, (7) vap *-* x i=l

T = 90 348 K

A = 12 857 784

A

2 = 5 409 5302

where the argument is x(T) = (T -T) / (T -T ), and

T = 305.33 K

c

A. = -97.520 486

4 A = 100.849 76 A. = 33.835 851 A£ = -37.933 878

3 6 Comparisons with the data are given in table 10.

2.8 Specific Heats C (T) at d^ E 14.5 mol/£

v b As described in section 3.3, below, these data are used to obtain thermofunctions in

compressed liquid states by computation around the critical point, figure 1.

We adjusted data of three experimental C (p,T) isochores from [66] (runs Nos. 1, 8, 9 of table 14) to the assigned density of d = 14.5 mol/£ by means of the present equation of

state, and then represented these data with a standard deviation of 0.093 J/mol/K by use of

the argument x = T/T , where T = 305.33 K, c c

C (T,±) = a/x + b + ex + d«x

2

, J/mol/K, (8) V D

a = 64.02530 c = 205.55275

b = -163.36173 d = -54.77598

2.9 Specific Heats for Saturated Liquid

As described in section 3.3, below, these experimental data are used to obtain thermofunctions in compressed liquid states at T < T (see figure 1). As reported in [66], they were described as follows, with a standard deviation of 0.315 J/mol/K at T < T < T ,

C (T) = a + b'T + cf(T) + d/T + e/T

2

, J/mol/K, (9)

where

f(T) E T/(T -T)

' 6

,

T = 305.33 K c = 1.0906 40627

c a = 22.6482 2683 d = 5371.2010 54

b = 0.0879 6160 711 e = -212338.994
3. COMPUTATIONAL METHODS

The numerical values for E and H in this report are on the same absolute basis as those

of Tester [83], obtained by use of E° = (4. 1868) • (4827 .2) J/mol.

3.1 The Homogeneous Domain

The "homogeneous domain" of figure 1 includes all regions which can be attained along

isotherms starting at zero density without crossing the vapor-liquid "dome" and without

passing close to the critical point at T > T .

We start our computations with ideal gas thermodynamic functions at zero density, and

then integrate along isotherms by use of the equation of state in the following relations,

AE = J[P-T'(3P/3T)]«dp/p 2

, (10)

ACv

= " T J

(9 2p /3T2 )* d P/p

2 (U)

AS = R-£n[P°/(pRT)] + f

[R-(3P/3T)/p] -dp/p. (12)

Equation (12) is for use with initial entropies in hypothetical ideal gas states at

P = 1 atm. For the compressed liquid at T < T. and p > p , we use

b c

AS = - /(3P/3T)-dp/p2

. (12-a)

In each (p,T) state, reached by above integrations, we compute

H = E + P*v, (13)

C =C + T-(3P/3T) 2 /(3P/3p)/p 2 (14)

p v

W

2 = C -(3P/3p)/C (15)

P v

3.2 The Vapor-Liquid Transition

As discussed below, we have used this computation only as a check against experimental

heats of vaporization, and for closed-loop checks terminating on the saturated liquid.

We traverse the vapor-to-liquid "dome" of figure 1 by use of the Clapeyron equation,

and Av = (v«-v )

,

AH = T«(dP /dT)-Av, (16)

AE = AH - P «Av, (17)

AS = AH/T, (18)

where (dP /dT) is slope of the vapor-pressure curve.
3.3 Compressed Liquid States

As indicated by figure 1, we compute around the critical point into compressed liquid

states at T < T, and p > p as follows,

b c

(1) On isotherm T = 330 K use equations (10) and (12) up to d, = 14.5 mol/£ to

D D obtain E, and S, of figure 1,

D D

E(T, ,d.) = 21,321.64 J/mol, S(T. ,d.) = 165.4420 J/mol/K.

D D D D

(2) Along isochore d E 14.5 moll I, obtain E and S at any temperature T < T < T by

D 3. D use of equation (8) for C (T,d, ), v b T T AE = / Cv

«dT, AS = / C "dT/T,

T T

b b

and finally, for E and S of figure 1 at T = T = 256.5624 K,

3. 3. 3.

E(T

a

,d

fe ) = 17,628.86 J/mol, S(T

a

,db

) = 152.8227 J/mol/K.

(3) Along the saturated liquid path obtain E and S at any temperature T _< T < T by

use of equation (9) for C (T)

,

AE = 1 v dT+ 1 v<W>

AS = /V/ C 'dT/T. T

a

For AE, above, P is the vapor pressure, and p„ is density of the saturated liquid. The

specific heat C (p,T) at the saturated liquid boundary is computed by use of the equation

of state in the thermodynamic relation,

Cv

(p,T) = Ca

(T) + T-(8P/8T)-(dp

£ /dT)/p£

2

.

(4) The final path of computation is along isotherms, starting with values for E, S, and C , either on isochore d, at T < T < T, , or on the saturated liquid boundary at

v' b a — b

T < T < T , by use of equations (10) through (15).

4. TESTS AND COMPARISONS OF CALCULATED AND MEASURED PROPERTIES

4.1 Calculated Critical Isotherm, P(p)

Table 11 gives a high-resolution examination of the P(p) critical isotherm from

equation of state (5). It shows that the calculated slopes, 3P/8p, are non-negative at all

densities, as required by equations (14) and (15).

10
4.2 The P-p-T Compressibility Data

The last two columns of table 6 give the rms of relative density deviations, and the mean of relative pressure deviations, respectively, for each source of the P-p-T data.

Deviations of experimental densities and pressures from the smooth P(p,T) surface of

the equation of state (5) are given in table 12. The data of Michels et al. [54] and of

Douslin and Harrison [18] are highly precise, and the deviations generally are systematic,

as might be expected from an equation of state with as little freedom as (5) . Any

inaccuracies in the given liquid-vapor boundary will be propagated along calculated isochores

because the equation of state originates on this boundary. At high densities in the compressed

liquid, the derivative 3P/8p becomes extremely large, hence pressure deviations should be

ignored in this region. Typical deviations of densities along isochores are plotted in

figure 2.

4.3 Heats of Vaporization and Closure Computation

The last column of page 1 of table 23 gives experimental heats of vaporization

interpolated from equation (7) for comparison with values in column Q,VAP computed by the

Clapeyron equation.

Table 13 gives loop-closure computations for the saturated liquid. Values for

enthalpy in column HLR are obtained by computing around the critical point, whereas values

in column HLC are via the Clapeyron equation (see sees. 3.2, and 3.3).

Heats of vaporization obtained via the Clapeyron equation are uncertain by several

percent (up to about 500 J/mol) due mainly to uncertainty in the vapor-pressures and of the

vapor-pressure equation, and to the vapor densities at low temperatures. In table 10,

moreover, we see that experimental heats of vaporization may differ by over 2 percent at 100 K, (about 350 J/mol). The deviations of about 0.5 percent (60 J/mol) seen in table 13

therefore do not exceed known uncertainties. The heats of vaporization have not been used

as input data for present computations.

4.4 Specific Heats C (p,T) and C (p,T)

Tables 14, 15 and 16 compare calculated specific heats with data of [66, 5, 24]

respectively. As seen in tables 15 and 16, experimental specific heats C (p,T) extrapolated to zero pressure differ by as much as + 1 percent from the ideal gas values C (T)

used for our computations [equation (6) and table 8]. Excepting the critical region, at temperatures 305 + 20 K, therefore, the maximum deviations of about two percent indicate

satisfactory agreement between calculated and experimental results. Typical deviations of

C along isochores are plotted in figure 3.

4.5 Speeds of Sound, W (T) , and W(p,T)

Table 17 compares calculated speeds of sound for the saturated liquid with data from

[60, 86, 87].

11
The deviations of about one percent in mid-range are quite satisfactory, considering

the computational complexity, (section 3.3 and figure 1). At T < 256.562 K our computations

start with smoothed experimental C (T) data, and the deviations increased toward two percent as T -> T . At T > 256.562 K we are entering the critical region, and the deviations

increase toward ten percent as T -> T .

Tables 18 and 19 compare speeds of sound W(p,T) with data of [82,86] respectively.

Except for the compressed liquid at very low temperatures, and for the critical region, we

consider the deviations of less than two percent to be quite satisfactory. Typical deviations

of the speed of sound along isotherms are plotted in figure 4. Approaching the critical

point, deviations for the saturated liquid approach ten percent.

5. TABLES OF PHYSICAL AND THERMODYNAMIC PROPERTIES

5.1 Calculated P-p-T Isochores and Isotherms

A selection of calculated isochores and isotherms is given by tables 20 and 21. They

are useful to examine behavior of the surface generated by the equation of state, and to supplement the isobars of table 24 in obtaining P-p-T values and their derivatives.

5.2 The Joule-Thomson Inversion Locus

Table 22 gives our calculated P-p-T locus for the Joule-Thomson Inversion, (3T/9P) = 0. H These results are obtained from the equation of state under the condition, T* (9P/3T) = p* (8P/3p)

5.3 Thermophysical Properties of the Saturated Liquid

Table 23 gives physical and thermodynamic properties for the saturated liquid. Column

headings are interpreted on the first page of this table.

5.4 Thermophysical Properties Along Selected Isobars

Table 24 gives physical and thermodynamic properties on isobars, as computed by methods

of section 3. Explanations for the table are given on the first page. This table is

extrapolated beyond the pressure range (^ 350 bar) of P-p-T data used for adjusting the

equation of state.

5.5 Tables in British Engineering Units

Thermophysical properties in British engineering units are given in tables 25, 26, and

27. Temperatures are given at integral values on the Fahrenheit scale, and presures at integral values in pounds per square inch (psi) absolute. Conversions of units in

Appendix C are similar to those in [29] except for the greater molecular weight of ethane

as compared with methane.

6. ESTIMATED UNCERTAINTIES IN THE THERMODYNAMIC PROPERTIES TABLES

The problems of estimating uncertainties in a thermodynamic network (table 24)

,

affecting the relative differences between tabulated values, have been discussed by

Kuloor et al. [46]

12
A comment must be made concerning inherent difficulties near the critical point, which

are independent of any equation of state. The derivatives 8p/3T and 9p/9P become infinite

at the critical point. For this reason, experimental densities from different laboratories

may disagree radically at any (P,T) point in the critical region, due merely to slight

inconsistencies in the pressure and temperature scales used. At the other extreme, the

derivative d?/dp becomes very large for liquid at low temperatures. The slightest experimental error in density will yield (via any equation of state) deviations of the calculated

pressure greatly exceeding the accuracy of measurement. In this domain any equation of

state should be used only to find p(P,T).

(1) Vapor pressures of table 1 from four different sources at P > 1 bar agree to less

than 0.05 percent on average, which we take to be the absolute accuracy. At lower pressures,

approaching the triple point, the data estimated by Ziegler et al. [93] may be uncertain by

up to two percent.

(2) For the saturated liquid densities in table 2 we believe the most reliable data

to be those of Sliwinski [75] and of Haynes and Hiza [37] . The former estimates experimental

uncertainty of 0.08 percent near the critical point, diminishing to 0.01 percent at 283.2 K. The latter estimate overall experimental uncertainty of 0.1 percent near the triple point,

diminishing to 0.06 percent at 300 K. The results from table 2, therefore, should have an absolute uncertainty no greater than 0.1 percent.

(3) The saturated vapor densities of Sliwinski [75] in table 3 have an estimated

experimental uncertainty of 0.1 percent near the critical point, increasing to 0.36 percent

at 283.2 K. Some of the data from Douslin and Harrison [18] in this range are several

tenths of one percent higher than those of Sliwinski. Below 280 K we calculated these

densities from our virial and vapor-pressure equations, estimating the uncertainty to approach two percent at the triple point. In summary, uncertainty of the saturated vapor

densities increases from about 0.2 percent near the critical point to about 2.0 percent

near the triple point.

(4) The selected reduced second virial coefficients in table 4 are seen to have been

represented with a mean deviation of 0.14 percent. The estimated (not experimental) data

of McGlashan and Potter [53], however, were increased by 0.5 percent in absolute value to improve consistency with other data. The overall uncertainty of table 4 may be under 0.5

percent.

The selected reduced third virial coefficients in table 5 have been represented

with a mean deviation of about one percent. Original publications should be consulted in

each case for estimates of experimental uncertainties in the data for virial coefficients.

(5) The highly constrained equation of state (5) used in present work yields

derivatives which are qualitatively consistent with the known behavior of isochoric

specific heats, C (p,T) , including a maximum at the critical point. Because this equation

originates on the orthobaric, coexistence boundary, it gives deviations of the density up to two percent in the critical region, figure 2. Uncertainty of the densities from this

13
equation in table 24 therefore approach two percent in the critical region, T + 10%,

d + 50%, but generally are less than 0.2% elsewhere for the data used in adjusting the

equation of state, as seen by inspecting table 12.

(6) The ideal gas specific heats C (T) recently measured by Bier et al. [4] differ by

up to 1.6% from the spectroscopic calculations of Chao et al. [12] at temperatures above

about 325 K. The overall effect upon E (T) and S (T) will be less due to integration. We

nevertheless should for this reason set an upper bound of about two percent upon uncertainty

of the important enthalpy differences in table 24.

(7) Experimental specific heats C (T) and C (p,T), used in present computations, were

obtained by Roder [66] who observed pressure and temperature, and then computed density of

the sample via an equation of state. Uncertainty due to this estimated density may approach

two percent near the critical point. As seen in figure 3, deviations from our calculated

results are greater than this near the critical point.

The use of specific heats from [66] to enter compressed liquid states at p > p and at T < T, = 330 K we believe increases uncertainty of enthalpies in this region to

b about 4%.

(8) Table 13 shows an inconsistency (amounting to about 0.5 percent of the heat of

vaporization) for enthalpies of the saturated liquid computed via the Clapeyron equation,

as compared with computation around the critical point. A further difficulty is that the

specific heat C (p,T) at point (E, , S, ) of figure 1 is 56.11 J/mol/K as calculated from the v b b ideal gas specific heat and equation of state along isotherm T , whereas the experimental

value at this point is 54.05 J/mol/K via equation (8) and the data of [66]. We conclude

that the accuracy of specific heats in table 24 is four percent.

(9) In summary, the uncertainty of enthalpies is four percent in compressed liquid

domains at low temperature, increasing up to ten percent very close to the critical point,

and diminishing toward two percent at low densities and for all densities at temperatures

well above critical. The specific heats are uncertain by four percent. The speeds of

sound are accurate to one percent, figure 4, except for the saturated liquid, where

deviations approach ten percent near the critical point, table 17.

7. ACKNOWLEDGMENTS

We are indebted to The American Gas Association, Inc. for generous support of this

work. Importance of the nonanalytic behavior of C (p,T) about the critical point, in

formulating an equation of state, was emphasized to us by Anneke Levelt Sengers, for which we are most grateful. In this laboratory we are indebted to D. E. Diller for discussions

and valuable suggestions, and to R. D. McCarty for the essential, least-squares program.

14
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[69] Rowlinson, J. S., Molecular theories of liquids and mixtures, Ind. Eng. Chem. 59_ (12), 28 (1967).

[70] Rowlinson, J. S., Liquids and liquid mixtures , Plenum Press, New York, N. Y.

,

(1969).

*' "

[71] Sackmann H. , and Sauerwald, F. , The volume change upon melting of organic

substances, especially in homologous series, Z, Physik. Chem. (Leipzig) A195 , 295

(1950).

18
[72] Sage, B. H. , and Lacey, W. N. , Thermodynamic Properties of the Lighter Paraffin

Hydrocarbons and Nitrogen , American Petroleum Institute, New York (1950).

[73] Sciance, C. T. , Colver, C. P. and Sliepcevich, C. M. , Bring your C ,-C, up to date.

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[74] Shana'a, M. Y. and Canfield, F. B. , Liquid density and excess volume of light

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[75] Sliwinski, P. , The Lorenz-Lorenz function of gaseous and liquid ethane, propane

and butane, Zeit, Phys. Chem. , Neue Folge JS3, 263 (1969).

[76] Sondak, N. E. and Thodos, G. , Vapor pressures, the aliphatic hydrocarbons,

A.I.Ch.E. Journal 2, 347 (1956).

[77] Starling, K. E. , Fluid thermodynamic properties for light petroleum systems , Gulf Publishing Co., Houston, Texas (1973).

[78] Straty, G. C. , and Tsumura, R. , Phase transition and melting pressures of solid

ethane, J. Chem. Phys. 64, No. 2, 859 (Jan. 1976).

[79] Straty, G. C. and Tsumura, R. , PVT and vapor pressure measurements on ethane,

J. Res. Nat. Bur. Stand., 80A, No. 1, 35 (Jan-Feb. 1976).

[80] Strumpf, H. J., Collings, A. F., and Pings, C. J., Viscosity of Xenon and Ethane

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[81] Teja, A. S., and Rowlinson, J. S., The prediction of the thermodynamic properties

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[82] Terres, V. E. , Jahn, W. , and Reissmann, H. , Zur Kenntnis der Bestimmung von

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19
[91] Witt, R. K. , and Kemp, J. D., The heat capacity of ethane from 15°K to the boiling

point. The heat of fusion and the heat of vaporization, J. Am. Chem. Soc. 59 , 273 (1937).

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state at low temperatures, NBS Tech. Note 4 (May 1959).

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the vapor pressure and heats of vaporization and sublimation of liquids and solids

below one atmosphere pressure. VII Ethane, Tech. Report No. 2, Proj . A-764, Eng.

Expt. Sta. , Georgia Inst. Tech., Atlanta, Georgia (Dec. 1964).

20
APPENDIX A. Symbols and Units

Subscripts c and t refer to critical and liquid triple points.

Subscripts g and & refer to saturated vapor and liquid.

Subscript a refers to liquid-vapor coexistence (usually the liquid)

Superscript o refers to ideal gas states.

a, 6, non-linear constants in the equation of state

B(p), C(p) density-dependent coefficients in the equation of state

B(T), C(T) second and third virial coefficients

C (p,T), molal heat capacity at constant volume, (J/mol)/K

C (p,T), molal heat capacity at constant pressure, (J/mol)/K

C (T) molal heat capacity for saturated liquid, (J/mol)/K

d, density, mol/£

dk

, 1.52-10"6 mol/SL for eq. (3-b)

E(p,T), the internal energy, J/mol

E° (4. 1868) '(4827. 2) J/mol, [83]

of(a) used in the definition of 0(p)

F(p,T), definition in the equation of state

H(p,T), the enthalpy, J/mol

J, the joule, 1 N-m,

-3 3

I, the liter, 10 m

12

mol, 30.07 grams of ethane (C = 12 scale)

5 2 P, pressure in bars, 1 bar = 10 N/m (1 atm = 1.01325 bar)

P (T) the vapor pressure, bar

P (p), ^rv^ (P)l» vaPor pressure as function of density

$(p,T), function in the equation of state

^(PjT), function in the equation of state

Q , AH , the heat of vaporization, J/mol

R, the gas constant, 8.31434 (J/mol) /K, 0.0831434 (bar~£/mol)/K

p, d/d , density reduced at the liquid triple point

a, d/d , density reduced at the critical point

S(p,T) the entropy, (J/mol) /K

T, temperature, K, (IPTS-68), [68] T , 256.5624 K, (figure 1) T

b

, 330.0000 K, (figure 1) T (p), liquid-vapor coexistence temperature, K

0(p), defined locus of temperatures

u(p,T), T/T (p) for eq. (5-a)

v, 1/d, molal volume, St/mo 1 u)(p,T), [l-0(p)/T] for the equation of state

W(p,T), the speed of sound, meters/second

x(T), T/T for the equation of state

c

21
APPENDIX A (continued)

x(T), variously defined for other equations

x (p)

,

T (p)/T , reduced temperature at coexistence, for the equation of

state.

22
APPENDIX B. Fixed-Point Values for Ethane

Triple Point Boiling Point

Temperature, K. Pressure, bar

Density, xaol/i

Vapor

Liquid

Critical Point

90.348 184.574 305.33

1.1308'10"5 1.01325 48.714 — — 6.80

1.5154«10~6 0.068381

21.680 18.094 —

APPENDIX C. Conversion of Units

Temperature,

Pressure,

Volume,

Mol. Wt. , C„H,,

Mass,

Density, C„H,

Isochore slope,

Isotherm slope, C„H,.,

L b Energy

Specific energy for ethane,

Specific entropy and heat

capacity of ethane,

Speed of sound,

1.8 Rankine (R) = 1 Kelvin, (K)

14.69595 psi

1 cu ft

1 mol

1 lb (avoir.)

1 lb/cu ft

1 PSI/R

= 1 atm = 1.01325 bar

= 28.31685 liter, (2.) = 30.070 gram, (g) , (C = 453.5924 g

= 0.5327 0577 mol/£

= 0.1241 0562 bar/K

12

scale)

1 PSI cu ft/lb = 0.1294 290 bar«£/mol

1 BTU

1 BTU /lb

1 (BTU/lb)/R

1 ft/s

= 1054.350 joule, (J) = 69.896 0223 J/mol

= 125.812 840 (J/mol) /K

= 0.30480 m/s

23
Appendix D. Computer Programs for Thermo functions.

PROGRAM ETHRM7A ( INPU T , OUTPUT

)

C REVISION OF ETHANE TH ERMOFUNCTIQNS , FEB. 1 THRU NOV. 20, 1976.

C ENTER CQMPR. LIQ. STATES VIA NBS(ROOER) CV ON ISOCHORE RB, AND CSAT.

C NOTE OMISSION OF FI NOS ATF < T , M) , USE DENGASF(T), DENLIQF(T).

C NOTE THAT TSATF(DEN) ITERATES ON DENGASF(T), DENLIQF(T).

COMMON B1,62,B3, C1,C2,C3, E1,E2,E3, ER

COMMON/l/GK,AL,8B,BE,GA,DE,EP, DCRT ,TCRT , PCRT ,DGAT , DTRP,TTRP , PTRP

C0MM0N/3/3FDT,D2P0T2,DPSDT,DPMDT,DPDD,DPDR,DTSDR,DTHDR

COMMON/^/ X31,XB2, XC1,XC2, XE1,XE2, XBDR, DXCDR, OXEDR

COMMON/5/ OOSOT

COMMON/6/ T5AT, THETA, PSAT

COMMON/7/ TA,TB,PB,R3, EA,HA,SA, EB,Hd,SB

COMMON/3/ IN, IK, P,T,OEN, E,H,S, CV,CP,CSAT, W,WK

COMMON/9/ AJ,BU,C'J,DU, AS , BS , CS, DS, E S, ETB,STB,STA

COMMON/1C/ NFE, ETRP, EK(9)

COMMON/99/ TI,EZZ, EZ,SZ,CVZ, HZ,CPZ

DIMENSION PP<99)

1 F0RMAT<I5, 2F1G.0)

2 FORMATU5, 3F10.0)

3 FORMATdHl ilX *LOOP CLOSURE CHECK FOR SATURATED LIQUID,* /

1 12X *ENTHALPY HLR VIA NBS CV, HLC VIA CLAPEYRON EQN. , J/MOL* //

2 12X3HT,K 7X3HHLR 7X3HHLC 7X3H0IF 4X5HQ,VAP 2X8HDH/Q,PCT ) 4 FORMAK5X 5110, F3.2)

5 FORMATdX)

3 F0RMATd4, F7.0, F6.0, 2F7.0)

9 FORMAT<5X 15, 3F1D.3, 2F10.2, F8.2)

10 FORMATC1H1 9X *ETHANE FUNCTIONS ON ISOCHORE RB = 14.5 MOL/L* //

1 10X 7HAT T3 =F6.3, 6H, P3 =F8.3, 7H, DEN =F7.3//

2 10X 4HEB =F10.2, 6H , HB =F10.2, 6H, SB = F10.4//

3 10X 4HCV =F8.3, 1CH, CV,XPT =F8.3///

4 10X 7HAT TA =F9.4, 6H, PS =F8.3, 7H, DEN =F7.3//

5 1GX4HEA =F10.2, 6H, HA =F10.2, 6H, SA =F10.4//1QX 4HCV =F8.3///

6 13X 5HET3 =E17.9, 7H, STB =E17,9, 7H, STA =El7.9)

12 FORMAT (8F10.G

)

14 FORMATdHl 18X *ETHANE ISOBAR AT P =* F8.5, 4H BAR / ) 15 FORMATdHl 18X ^ETHANE ISOBAR AT P =* 14, 4H BAR / ) 16 F0RMATd9X 1HT 6X3HDEN 6X3HV0L 5X5H0P/DT 5X5HUP/DD

2 6X1HE oXIHH aXlHS 6X2HCV 6X2HCP 5X1HW /

3 15X 5HDEG K t+X5HMOL/L 4X5HL/M0L 5X5H3AR/K 1X9H8AR-L/M0L 4X5HJ/M0L

4 UX5HJ/M0L 2X7HJ/M0L/K 1X7HJ/MOL/K 1X7HJ/M0L/K 1X5HM/SEC ) 17 FORMATC1CX Flu. 3, F9.3, F9.5, F1Q.4, Flj.3, 2F9 . 1 , F 9. 3 ,2F8 . 2 , 16)

18 FORMATdOX F10.3, F9.5, F9.3, F10.6, F13.3, 2F9. 1, F9. 3 , 2F8 . 2 ,16)

21 FORMATdHl 7X *R03ER ETHANE SPECIFIC HEATS CV(D,T), J/MOL/K * //

1 6X2HID 5X5HM0L/L 7X3HT,K 5X5HP,BAR 4X6HCV , XPT5X5HCALCD4X4HPCNT > 22 FORMATdHl 7X *3IER ETHANE SPECIFIC HEATS CP(P,T), J/MOL/K * //

1 oX2HID 5X5HP.BAR 7X3HT,K 5X5HM0L/L 8X2HCP 5X5HCALCD 4X4HPCNT ) CC CONSTANTS FUR EQNSTATE MARK VII, 4/12/76.

23 WM = 30.07 B WK = 100GQ0/WM $ Q = 1.01325 $ GKK = 0.0831<*3<+

2* TTRP = 90.348 $ DTRP = 21.68 $ PTRP = 1. 1308426 18E-5

15 TCRT = 305.33 S DCRT = 6.80 $ PCRT = PSATF(TCRT)

26 DGAT = 1.5l53b61£-6 $ GK = DCRT*GKK £ EZZ = 4. 1 868*4827 .

27 AL = 1 5 OE = 2.0/3,0 $ ER = 2 $ 3B=3E=GA=EP=0

28 31 = 0.48752227313 S B2 = 0.33198750 982 3 B3 = 0.06854249828

29 El =-0.43113913545 S E2 = 0.0 $ E3 = . 0377946046 8 33 CALL PEEK $ CALL ISOTHRM

C INTEGRATION CONSTANTS FOR CVSUMIT , SSATF(T).

33 T3=330 5 RB=14.5 $ TA=TSATF(RB) $ X=TB/TCRT $ G=ALOG(X)

31 AU=64.Q253 $ BU = -163. 36173 $ CU = 205. 55275 $ DU=-54. 77598

32 ET3 = AU*G + 3U*X + CU*X*X/2 + DU*X*X*X/3

33 STB = -AU/X + BU*G CU*X + DU*X*X/2

3i+ AS=22, 64822683 I BS = . 0879616 0711 $ CS = 1 . 90 640627

35 DS = 537i. 201054 $ ES=-212338. 994 $ T = TA $ TD= ( TCRT-T ) **0 .4

36 STA = AS*ALOG(T) + BS*T - CS*TD/0.4 - DS/T - ES/2/T/T

24
Appendix D. Continued.

C ESTABLISH TB,TA, EB,SB, EA,SA, ON ISOCHORE RB 5 14.5 MOL/L.

39 T = TB £ P = PB = PVTF(T,RBtO) $ CALL THRMOGS

43 RC-OEN $ EB=E £ H8 = H £ SB=S £ CVB=CV 5 CVX=CVXF(T»

41 T = TA $ CALL CVSUMIT 5 EA = E $ SA = S 42 PSTA = PS = PSATF(TA) $ HA = EA + 100*PS/RB

43 PRINT 10, T3,PB,RC, E8,HB,SB, CVB,CVX, TA,PS,DEN, EA,HA,SA,CV,

1 ETB, STB, STA £ CALL ESATFIT

C

C LOOP CLOSURE COMPARISON FOR SATURATED LIQUID.

45 PRINT 3 $ DO 52 J=l,42 $ T = IT = 90 + 5*J $ F = PSATF<T>

46 CALL SATGSTR $ DG = DEN $ HG = H $ DL = DENLIUF(T)

47 Q = 10a*T*OPSDT*(l/DG - 1/OL) $ HLC = HG - Q

48 IF(T.LT.TA) 49,50

49 CALL SATLOJR £ HLR = H £ GO TO 51

50 CALL THRMXL $ HLR = H 51 DH=HLC-HLR £ QPCT= 10 0*DH/Q $ IHLR=HLR $ IHLC=HLC $ IJH=DH $ IQ=Q

52 PRINT 4, IT, IHLR,IHLC, IOH,IQ, QPCT

55 CALL JTLOCUS $ CALL TABLIQ

60 CALL WSATLIQ £ CALL TSUMURA $ CALL TERRES $ CALL FURTADO

C

C COMPARE NBS(HMR) SPECIFIC HEATS, CV(R,T).

70 PRINT 21 $ L = $ DO 83 J=l,300

71 READ 8, ID, PX,OX,T,CX $ IF<ID) 72,84

72 P = PVTF(T,QX,0> $ L = L+l £ IF(L.EQ..5D 73,74

73 L = $ PRINT 21

74 IF(T.LT.TB) 75,81

75 IF(T.LT.TA) 7c,7 7b CALL LIQTHRM £ GO TO 82

77 IF(T.LT.TCRT) 78,80

73 PX = PSATF(T) $ IF(P.GT.PX) 79,81

79 CALL THRMOX $ GO TO 82

80 PX = PWTF(T,OCRT,Q) $ IF(P.GT.PX) 79,81

81 CALL THRMOGS

82 PCT = 1Q0*(1-CV/CX)

83 PRINT 9, IO, OX,T,P, CX,CV, PCT

84 CONTINUE

C

C COMPARE SPECIFIC HEATS, CP(R,T),

C BIER,KUNZE,MAURER, J. CHEM. THERMODYN. 8, 857 (1976).

85 PRINT 22 $ L = $ DO 100 J=l,300

86 READ 2, ID, TC,P,CP $ IFJIO) 87,101

87 T = 273.15 * TC £ CX = WM*CP $ L = L+l $ IF(L.EQ..44) 88,89

83 L = $ PRINT 22

89 IF(J.LT.IO) 90,91

90 TI = T £ CALL IDEAL $ CP=CPZ $ DEN=G £ GO TO 99

91 IF(T.LT.TB) 92,98

92 IFIT.LT.TA) 93,94

93 CALL LIQJHRM $ oQ TO 99

9* IF(T.LT.TCRT) 95,97

95 PX = PSATF(T) $ IF(P.GT.PX) 96,98

96 CALL THRMOX £ G3 TO 99

97 PX = PVTF(T,DCRT,0) £ IF(P.GT.PX) 96,98

98 CALL THRMOGS

99 PCT = 100. GM1-CP/CX)

100 PRINT 9, IO, P,T,OEN, CX,CP, PCT

lii CONTINUE

CC COMPUTE THERMOFUNCTIONS ON ISOBARS.

C EACH ISOBAR STARTS ON THE MELTING LINE.

C ISOBARS AT F UNDER PCRT TRAVERSE THE OOME.

110 IN = 1 £ Nil = 63 £ READ 12, I PP 1 1 ) , 1=1 , NI

111 DO 300 I=IN,NI £ IK=I S IP=P= PP(I)

112 IFd.LT.5) 113,114

113 PRINT 14, P $ GO TO 115

25
Appendix D. Continued.

11<+ PRINT 15, IP 115 PRINT lc

120 T = FINOTMF(P) i CALL LIQTHRM S V = 1/OcN $ IW = W 121 PRINT 17, T,QEN,V, DPOT,OPDD, E,H,S, CV,CP,IW

122 IT = T/10 $ IF(P.LT.PCRT) 130,200

C

C TWO MAIN CASES FOR P UNDER PCRT.

13J TS = FINDTSF(P) B TX = TS * 10 5 K=L=0

131 00 199 J=l,99 B T = JT = 10*(IT + J)

132 IF(P-PSTA) 133,133,150

C MAIN CASE A FOR P NO GREATER THAN PSTA.

133 IF(T.LT.TS) 13<+,136

13* CALL LIQTHRM 5 \/ = l/CEN B IW = W 135 PRINT 17, T,OEN,V, DPDT,OPDO, E,H,S, CV,CP,IW $ GO TO 199

136. IF(T.LT.TX) 137,180

137 T = TS B CALL SATLQTR S V=1/DEN $ IW = W 138 PRINT 17, T,DEN,V, OPOT,OPOO, E,H,S, CV,CP,IW $ PRINT 5 139 CALL SATGSTR B \/ = l/DEN S IW = W IkU IF(P.LT,20.G> lkl,lkZ

1*+1 PRINT 18, T,DEN,V, OPDT,DPDO, E,H,S, CV,CP,IW $ GO TO 1<*3

l<+2 PRINT 17, T,DEN,V, DPDT,OPOO, E,H,S, CV,CP,IW

1^3 T = JT $ iO TO 180

C MAIN CASE 3 FOR P GREATER THAN PSTA.

150 IF(T-TA) 131,151,153

151 CALL LIQTHRM B V=1/DEN B IW=W

152 PRINT 17, T,DEN,V, DPDT,DPOO, E,H,S, CV,CP,IW $ GO TO 199

153 IF(T.LT.TS) 15^,156

15** CALL THRMOX B V=1/QEN $ IW=W

155 PRINT 17, T,DEN,V, DPDT,OPOO, E,H,S, CV,CP,IW $ GO TO 199

156 IF(T.LT.TX) 157,183

157 T = TS S CALL THRMXL $ V-l/OEN B IW=W

158 PRINT 17, T,DEN,V, DPOT,OPOD, E,H,S, CV,CP,IW S PRINT 5 153 CALL SATGSTk S \/ = l/OEN B IW=W

160 IF(P.LT.20.0> 161,162

161 PRINT Id, T,DEN,V, OPOT,OPOD, E,H,S, CV,CP,IW $ GO TO 163

162 PRINT 17, T,DEN,V, DPOT,OPOD, E,H,S, CV,CP,IW

lc3 T = JT

C CASES FOR HOMOGENEOUS DOMAIN, DEN < OCRT, OR T > T8.

160 IFUT.GT.5Uu) 181,163

181 K = K + i $ T = JT = JT 10*K

182 IFUT.GT.700) 300,183

183 CALL HOMOTRM $ V=1/DEN $ IW=W

184 IF(P.LT.2G.G> 185,186

165 PRINT 18, T,GEN,V, DPDT,OPOD, E,H,S, CV,CP,IW $ GO TO 199

186 PRINT 17, T,OEN,Vi DPDT,DPDD, E,H,S, CV,CP,IW

193 CONTINUE

C

C CASES FOR P > PCRT.

200 K=L = G $ GO 230 J=l,99 $ T=JT=10* ( IT+ J) $ IF(T.LT.TB) 201,220

201 IF(T.LT.TA) 202,205

202 CALL LIQTHRM $ M = 1/DEN B IW = W 203 PRINT 17, T,DEN,V, OPDT,DPDO, E,H,S, CV,CP,IW $ GO TO 230

205 IF(T.LT.TCRT) 211,206

206 PX = PVTF(T,DCRT,j) $ IF(P.GT.PX) 211,225

C CASE FOR REGION X AT TA < T < TB, P ABOVE CRITICAL ISOCHORE.

211 CALL THRMOX B V = 1/DEN $ IW = W 212 PRINT 17, T,DEN,V, DPOT.OPDD, E,H,S, CV,CP,IW B GO TO 230

C CASES FOR HOMOGENEOUS DOMAIN, DEN < DCRT, OR T > TB.

220 IFUT-50G) 225,225,221

221 K = K 1 i T = JT = JT + 10*K

222 IFUT-7G0) 225,225,300

225 CALL HOMOTRM 5 M = 1/DEN B IW = W 226 PRINT 17, T,DEN,\/, DPDT,DP3D, E,H,S, CV,CP,IW

230 CONTINUE

26
Appendix D. Continued.

300 CONTINUE

999 STOP $ END

FUNCTION CSATXF(T)

C FORMULATION OF N3SIR0DER) ETHANE OATA, 3/7b, J/MOL/K.

C THE STANOARO DEVIATION IS 0.315.

COMMON/9/ AU,BU,CU,DU, AS , BS, CS, DS, ES , ETB,STB,STA

DATA (TC = 305.33)

1 IF(T.LT.TC) 2,9

2 F = T/(TC-T)**0.6

3 CSATXF = AS + BS*T + CS*F + DS/T + ES/T/T $ RETURN

9 CSATXF =0 $ RETURN $ END

FUNCTION CSUMF(N,T,DA,DB)

DELTA CV = -T*INTEGRAL ( < 02P/DT2) /D**2) * OD

C0MM0N/3/0PDT,02PaT2,DPSDT,0PMDT,0PDD,0PDR,DTSDR,DTH0R

2 DX = (OB-uA)/N $ CSUMF =0 $ 00 5 J = 1,N

3 DN = DA + <J-0.5)*DX $ P = PVTFtT,DN,0)

5 CSUMF = CSUMF - D2P0T2*DX/0N/DN

9 CSUMF = 100*T»CSUMF $ RETURN £ END

FUNCTION CUBERT(X)

CUBE ROOT MISSINS FROM 6600 COMPUTER LIBRARY.

1E= 1.0/3.0 $ IF(X) 2,3,<+

2 CU3ERT = -A3S(X)**E $ RETURN

3 CUBERT = 0.0 $ RETURN

<* CUBERT = X**E $ RETURN S END

SUBROUTINE CVSUMIT

C GIVEN P,T, GET DEN AND SOME FUNCTIONS AT POINT U,RB).

C START AT TB E 33Q < WITH VALUES EB, SB, THEN, ON ISOCHORE RB

C USE INTEGRALS OF CVXF(T) FOR DEL(E), DEL(S) FROM TB DOWN TO T.

C YIELDS ONLY DEN, E,S, CV.

COMMON/7/ TA,T8,P3,R3, EA,HA,SA, EB,HB,SB

COMMON/8/ IN, IK, P,T,DEN, E,H,S, CV,CP,CSAT, W,WK

COMMON/9/ AU,BU,CU,DU, AS , BS , CS, OS , ES , ET8,STB,STA

OATA (TC = 305.33)

1 X = T/TC J & = ALOG(X)

3 ETT = AU*G * BU*X + CU*X*X/2 + DU*X*X»X/3

5 E = EB * TCMETT - ET8)

6 STT = -AU/X BU*G CU*X 0U*X*X/2

8 S = SB + STT - STB

9 DEN = RB S CV = CVXF(T) $ RETURN $ END

27
Appendix D. Continued.

FUNCTION CVXF(T)

C FORMULATION OF NBS(ROOER) ETHANE D-»TA, 3/76, J/MOL/K.

C CVXF IS CV(T) ALONG THE ISOCHORE, I E Ht.5 MOL/L.

C VALID FROM TB I 330 K DOWN TO TA = 256.562 K.

C 5TANDAR0 DEVIATION FOR hb POINTS I 0.093.

COMMON/9/ AJ,BU,CU,OU, AS,BS,CS,D <ES, ETB,STB,STA

1 X = T/305.33 I CVXF = AU/X + BU + CU*X + DU*X*X

2 RETURN $ END

FUNCTION DELTAF<T,D)

GET (T*OP/OT - D*DP/DO) FOR THE J-T INVERSION CURVE.

COMMON/ 3/DPDT,D2PDT2,DPSOT,DPMQT,QPQD, DPDR, DTSDR, DTHOR

DATA <DCRT=5.80) ,

(

TCRT=305 . 33)

1 IF(T-TCRT) 2,<*,<+

I DL = DENLIOF(T) 5 IFtD-DL) 3,3,<t

3 OELTAF = l.UE+100 $ RETURN

k P = PVTF(T,D,1)

5 DELTAF = ABS ( T*OPDT -D*DPDD) $ RETURN 3 END

FUNCTION DENGASF(T)

C DEN = OCRT*EXP(-YN*Y) , YN = LN ( OCRT/DGAK)

,

C X E (TC-T)/(TC-TT) , Q = X**i/3, Z = ( TC/T-1 ) / (TC/TT-1 )

,

C Y = A1*Z + A2*XE + A3*Q3 + A<+*Q<* + . . . COMMON/5/ DDSDT

OIMENSION AVI6)

OAT A (NFG=6) , <EG=C.35> , ( DGAK = 1. 52E-6 ) OAT A (TTRP=90 . 3<+8> , ( T CRT =305 . 33 ) , <DCRT=6.80)

OATA(AV = 1. 2023^8669, 0.110005895, 0.137169205,

1 -0.980317935, 1.338756298, -0.80 77627^9)

1 FORMATC1HG 9X *OENGASF = 0, T EXCEEDS TCRT. * / ) 2 IF(TCRT-T) 3, ^,

3 PRINT 1 $ STOP

< OENGASF = OCRT $ DOSOT = 1.0E+1Q $ RETURN

5 XN = TCRT-TTRF $ ZN = TCRT/TTRP-1 $ YN = ALOGJDCRT/DGAK

)

6 X = (TCRT-T)/XN S OXDT = -1.0/XN

7 Z = (TCRT/T-D/ZN B DZDT = -TCRT/ZN/T/T

8 Q = CUBERT(X) I Q1T = Q*DXDT/3/X

9 XE = X**EG S XE1T = EG*XE*DXDT/X

11 Y - AV(1)*Z * AV(2)*XE % Y1T = AV(l)*OZDT + AV(2)*XE1T

12 DO 1<» K=3,NFG 5 QK = Q**K % Y = Y + AV(K)*QK

1* Y1T = Y1T + AV(K)*K*QK*Q1T/Q

18 OENGASF = DCRT*EXP <- YN* Y ) S ODSDT = -YN* Y1T*DENGASF

20 RETURN S END

28
Appendix D. Continued.

FUNCTION DENLIQF(T)

C OEN = DCRT + YNMX <XE-X)*Y>.

C Y = Al A2*X*M1-EL) + A3*X, YN E DTRP-OCRT.

COMMON/5/ ODSDT

DIMENSION AW<3>

OATA <TTRP = 9G.3<t8> , ( TCRT = 305 . 33) , <0CRT=6.8Q) , ( DTRP=2l . 68) OATA(AW = 0.71968^501, Q.28186&182, -0.289937306)

1 FORMATC1H0 9X *DENLIQF = 0, T EXCEEDS TCRT. * / ) 2 EL = l.G/3.0 $ IF(TCRT-T) 3,^,5

3 PRINT 1 S STOP

k DENLIQF = DCRT £ OOSOT = -l.QE+10 £ RETURN

5 XN=TCRT-TTRP £ YN=DTRP-DCRT $ X= < TCRT-T) /XN $ DXQT=-1.Q/XN

7 Xc = X»*EL 5 XE1 = EL*XE/X $ V = X/XE 5 V1X = (1-ED/XE

9 Y = AW<1) + AW(2)*V + AW(3)*X $ Y1X = AW(2)»V1X + AW(3)

10 W = XE - X £ W1X = XE1 - 1 $ OENLIQF = DCRT + YNMX + W*Y)

15 DOSDT = YN»DXDTM1 + W*Y1X * W1X*Y> $ RETURN $ END

FUNCTION ESATF(T)

C FORMULATEO TO SAVE COMPUTER TIME. VALID FOR TTRP < T < TA.

C ESAT/ETRP - 1 = A*X + B*X2 + C*X3 . . . COMMON/10/ NFE, ETRP, EK<9)

DIMENSION A(7)

DATA (TTRP = 90.3<*8) , < XN = 2l<+ .982) , ( ETR=5317. 5<*1 ) DATA(A = 2.i"»937313, 0.20^670^0, -0 . 6<+8<*<»72 7, 1.98167119,

1 -1.77279598, . kk&Q 1 726 , 0.3199^366)

1 X = (T-TTRP)ZXN $ E = 1 $ DO 2 J=l,7

2 E = E A(J)*X»»J $ ESATF = E*ETR £ RETURN $ END

SUBROUTINE ESATFIT

C GET ESAT DATA BELOW TA VIA ESATSUM(T), FIT. X E (T- TT ) /( TC-TT)

C ESAT/ETRP - 1 = A*X + B*X2 + C*X3 . . . C0MM0N/1/GK,AL,8B,BE,GA,DE,EP, OCRT , TCRT , PORT , DG AT , DTRP, TTRP, PTRP

COMMON/7/ TA,TB,PB,R3, EA,HA,SA, EB,HB,SB

COMMON/10/ NFE, ETRP, EK<9)

COMMON/999/ NFUN,Y,F(30)

DIMENSION TT (35),XX135) ,ESX(35)

1 FORMATdHi IfaX *FIT ETHANE ESAT(T), ETRP =*F10 . 3//3 (10X3E17 . 9/>

/

1 17X 3HT,K 7X3HESX 5X5HCALCD 6X^HPCNT ) 2 FORMAK10X Flu. 3, 2F10.1, F10.3)

3 FORMAT11H0 12X l*HNP =13, 10H, RMSPCT = F7.<*)

7 ETRP = ESATSUM(TTRP) $ XN = TCRT-TTRP $ DO 8 K=l,9

8 EK(K) =0 £ NP = 3*» $ NFUN = NFE = NF = 7 10 00 20 J = 1,NP £ IF(J.EQ.NP) 13,1<+

13 T = TA £ GO TO 15

1«» T = 90 + 5*J

15 TT(J) = T J X = (T-TTRP)/XN $ XX(J) = X 16 F(1)=X £ F(2)=X»X £ F(3)=X*X*X £ F(*») = F(3)*X £ F(5)=F{<»>*X

17 F(6) = F(5)*X £ F(7) = F(6)*X

18 ESX(J) = ESATSUM(T) $ Y = ESX(J)/ETRP - 1 20 CALL FIT $ CALL COEFF £ DO 21 K=1,NF

29
Appendix D. Continued.

21 EK(K) = F(K) $ PRINT 1, ETRP» ( EK ( K) , K = l, 9)

24 SS = J DO 30 J=1,NP

25 X = XXCJ) i EC = 1 $ DO 26 K=1,NF

2b EC = EC + EK(K)*X*»K $ EC = ETRP*EC

27 PCT = 10Q.QM1-EC/ESX(J) ) $ SS = SS + PCT*PCT

33 PRINT 2, TT(J), ESX(J), EC, PCT

31 SS = 5(*RT<S3/NP) $ PRINT 3, NP, SS

99 RETURN 5 END

FUNCTION ESATSUM(T)

C START WITH E = EA AT TA = 256.562 K, THEN -

C USE CSATXF(T), PSATF(T), DENLIQF(T), FOR SUMMATION -

C DEL(E) = SUM(CSAT'DT) SUM (P*00/DS**2)

COMMON/5/ ODSDT

COMMON/7/ TA,TB,P8,R3, EA,HA,SA, EB,HB,SB

1 E = EA $ TR = T-TA $ N = A3S(TR)/2 +2 $ DT = TR/N

2 00 6 J=i,N i TJ = TA + (J-Q.5)*DT

3 CS = CSATXF(TJ) $ PS = PSATF(TJ)

4 OS = DENLIQF(TJ) 5 DD = DDSOT*OT

5 E = E * CS*DT 100*PS*DD/DS/DS

6 CONTINUE $ ESATSUM = E $ RETURN $ END

FUNCTION ESJMF(N,T,OA,QB)

C GET DELTA t OVER DENSITY RANGE FROM DA TO D3.

C DELTA E = INTEGRAL(P-T*C0P/DT))*DX/DN**2.

C0MM0N/3/DP0T,D2PDT2,0PS0T,0PMDT,0PDD,DPDR,DTS0R,0TH0R

2 DX = <DB-OA)/N $ ESUMF = 0.0

3 DO 5 J=1,N J ON = DA + (J-0.5)*DX $ P = PVTF (T , DN , 0)

5 ESUMF = ESUMF + < P-T* DPDT ) *DX/ON/ON

9 ESUMF = 100*ESUMF $ RETURN $ END

FUNCTION FINDENF(T,P)

ON ISOTHERM T, FIND DEN, MOL/L, TO MINIMIZE (P-PC) VIA EQNSTATE.

C0MMON/l/GK,AL,BB,BE,GA,DE,EP, DCRT , TCRT ,PCRT ,DGAT , DTRP, TTRP,PTRP

C0MM0N/3/DPDT,D2PDT2,DPS0T,DPMDT,DPDD,DPDR,DTSDR,DTHDR

DATA (OM = 23.0)

41 FORMATdHQ 9X *FINDENF = 0, FAILS TO CONVERGE. * / ) 42 FORMATilHO 9X *FINDENF = DCRT, DP/DR ZERO OR NEG . * / ) 43 FORMATUHO 9X *FINDENF = 0, DOUBLE- VALUED AT P = PSAT. * / ) 1 IF(T-TCRT) 2,5,8

2 OG=DENGASF(T) $ OL=DENLIQF (T) $ PS=PSATF(T) $ IF(P-PS) 3,32,4

3 D = DG/2 $ GO TO 11

4 0= <OL+DTRP)/2 $ GO TO 11

5 DG=OL=OCRT $ PS=PCRT $ IF(P-PS) 6,33,7

o = OCRT/2 $ GO TO 11

7 0= 2*0CRT $ GO TO 11

8 IFCT.LT. 400.0) 9,10

30
Appendix D. Continued.

9 PC = PVTF(T,OCRT,0> $ IF(P-PC) 6,33,7

10 = DCRT

11 DO 33 J=l,5, $ DP=P-PVTF(T,D,1» $ IF(ABS ( OP/P) -1 . E-6 ) 31,31,12

12 IF(OPDD) 3«*,3i*,13

13 DO = OP/OPOO $ IF(ABS ( DO/D) -1 . 0E-6) 31,31,1<+

li» = DO $ IF(D.GT.O.O) 16,15

15 D = OGAT J SO TO 30

16 IF(D.GT.DM) 17,18

17 D = DTRP $ GO TO 30

18 IF(T-TCRT) 19,2^,30

19 IF(P.LT.PS) 20,22

20 IF(D.GT.DG) 21,30

21 O = DG $ GO TO 30

22 IF(O.LT.OL) 23,30

23 D = OL $ 30 TO 30

Zk IF(P.LT.PCRT) 25,27

25 IF(D.LT.DCRT) 30,26

26 O = DCRT - 0.02 $ GO TO 30

27 IFCO.GT.DCRTJ 30,23

28 D = DCRT + 0.02

30 CONTINUE $ FINOENF = $ PRINT kl $ RETURN

31 FINOENF =0 $ RETURN

32 FINOENF = O $ PRINT t*3 $ RETURN

33 FINDENF = OCRT $ RETURN

3^ FINDENF = DCRT $ PRINT kZ $ RETURN $ END

FUNCTION FINDTMF(P)

GIVEN MELTING PRESSURE, P, GET TEMP., T. C0MM0N/1/GK,AL,BB,8E,GA,0E,£P, OCRT , TCRT, PCRT , DG AT , DTRP, TTRP, PTRP

DATA (A=23p9.£5) ,(E=2.179)

1 X = (P-FTRP)/A + 1 $ FINDTMF = TTRP*X** (1. 0/E)

2 RETURN J END

FUNCTION FINDTSF(P>

GIVEN VAPOR PRESSURE P, ITERATE T TO MINIMIZE (P-PC).

COMMON/ 1/GK, AL,BB,BE,GA,OE,EP, DCRT , TCRT , PCRT, DG AT , DTRP, TTRP, PTRP

COMMON/3/DPGT,02PDT2,DPSDT,0PMOT,0PDD,DPOR,DTSDR,OTH0R

1 FORMAK1H0 9X *FINDTSF = 0, FAILS TO CONVERGE. * / ) 2 FORMATC1H0 9X *FINDTSF = 0, P EXCEEDS PCRT. * / ) 3 IF(P-PCRT) <+,ii,12

k T = 200 5 DO 9 J=l,50 5 DP = P - PSATF(T) 5 ADP = ABS (OP)

5 IF(ADP/P-1. JE-6) 10,10,6

6 IF(ADP/DPSDT/T-l.JE-6) 10,10,7

7 T = T « OP/OPSOT $ IF(T-TCRT) 9,9,8

8 T = TCRT

9 CONTINUE S FINDTSF = $ PRINT 1 $ RETURN

1Q FINDTSF = T $ RETURN

11 FINDTSF = TCRT B RETURN

12 FINOTSF = $ PRINT 2 S RETURN $ END

31
Appendix D. Continued.

SUBROUTINE FURTADO

C COMPARE FURTADO CP(P,T) ON HIS 14 ISOBARS.

C READ PRESSURES FIRST. SEPARATE ISOBARS ( CARDS) BY BLANKS.

CQMMON/l/GK,AL,BB,BE,GA,DE,EP, DCRT , TCRT ,PCRT , DG AT , DTRP ,TTRP,PTRP

COMMON/7/ TA,T8,PB,RB, EA,HA,SA, EB,HB,SB

COMMON/8/ I.N, IK. P,T,OEN, E,H,S, CV,CP,CSAT, W,WK

COMMON/99/ TI,EZZ, EZ,SZ,CVZ, HZ,CPZ

DIMENSION PF(14)

11 FORMATC1H1)

12 FORMATI1H0 IbX *FURTADO ETHANE CP<P,T) AT P =* F8.3, 4H BAR /

1 17X3HT.K 5X5HM0L/L 3X7HJ/MOL/K 5X5HCALCC 6X4HPCNT)

13 F0RMAT<I5, 3F10.0)

14 FORMATCIOX 2F10.3, 3F10.2)

15 FORMAT (8F10. a)

21 READ 15. (PF(I),Isl,14) 5 PRINT 11 $ L = 22 DO 50 1 = 1, 14 $ P = PF(I) $ PRINT 12, P $ L = L + 3 23 00 40 J=l,99 i READ 13, IDD,T,PX,CPX $ IF(IDD) 24,50

2* CPX = 1.874335*CPX $ L = L+l $ IF(L.GT,55) 25,26

25 L = $ PRINT 11

26 IF(I.EQ.l) 27,31

27 TI - T $ CALL IDEAL $ CP=CPZ $ DEN=0 $ GO TO 39

31 IF(T.LT.TB) 32,38

32 IF(T.LT.TA) 33,34

33 CALL LIQJHRM $ GO TO 39

3<+ IF(T.LT.TCRT) 35,37

35 PX = PSATF(T) $ IF(F.GT.PX) 36,38

36 CALL THRMOX $ GO TO 39

37 PX = PVTF(T,DCRT,C) $ IF(P.GT.PX) 36,38

38 CALL THRMOGS

39 PCT = lOQ.OMi'-CP/CPX)

40 PRINT It, T,DEN, CPX,CP, PCT

50 CONTINUE i RETURN $ END

SUBROUTINE HOMOTRM

r UAi TO ONLY AT T = INTEGER MULTIPLES OF 10 K.

C llAl F HOMOGENEOUS DOMAIN, GET DEN AND FUNCTIONS.

C SAVE DK(T>, ^K(T), SK(T), CKU) ALONG EACH ISOBAR.

C0MM0N/3/0P0T,D2PDT2.DPSDT,0PMDT,DPD0,DPDR,DTS0R,0THDR

COMMON/8/ IN, IK, P,T,DEN, E,H,S, CV,CP,CSAT, W,WK

COMMON/99/ TI,EZZ, EZ,SZ,CVZ, HZ,CPZ

DIMENSION G<(70) ,EK(70) , SK ( 70 ) ,CK (70

)

DATA <Q=1. 01325)

,

<G=0. 0831434)

1 IF(IK.EQ.IN) 2,10

2 TI = T $ CALL IDEAL $ J = T/10 $ DA =

3 DK(J) = DEN = D3 = FINDENF(T,P) S N = DB*20 + 10

u FK<J) = E = EZZ + EZ ESUMF(N,T,DA,DB)

5 1k!j! = S = SZ SSUMF(1,N,T,DA,D3) - 100'G'ALOG (G*T*DB/Q)

6 CK(J) = CV = CVZ * CSUMF(N,T,DA,DB) $ GO TO 20

10 J = T/10 f DA = OKU)

11 DK(J> = GEN = 03 = FINDENF(T,P)

12 DX = ABS(OB-DA) 5 N = (DX+1)*5

13 EK(J) = E = EK(J) ESUMF(N,T,OA,DB)

14 SK(J) = S = SK(J) + SSUMF(0,N,T,DA,DB)

15 CK(J) = CV = CK(J) * CSUMF(N,T,DA,DB)

20 H = E 100*P/D3 $ PX = PVTF(T,OB,l)

21 CP = CV + iaQ*T/DPD0*(DPDT/DB)**2

22 W = SQRT<WK*CP*DPOD/CV) $ RETURN $ END

32
Appendix D. Continued.

SUBROUTINE IDLAL

C ETHANE IDEAL GAS (1 ATM) THERMOFUNCTIONS (CHAO, 1973).

C EQN., Y = (lZ-EZZ)/RT = 3 + FCX), X = T/100, Q = X**l/3,

C F(X) = Al*Cm + A2*05 «- A3*Q6 . . . + AN*Q**(N+3).

C (HZ-HZZ)/RT = 1 + Y, CVN = CVZ/R = DIEZ/R)/DT, CPZ/R = 1 + Ci/Z/R,

C SZ/R = AZ + INTEGRAL(CVZ/R/X + 1/X)*DX.

C0MM0N/99/TI, EZZ, EZ,SZ,CVZ, HZ,CPZ

DIMENSION A(9)

OATA <R=8. 3i<+3) , (AZ = 21. 705718)

DATA(A = 65.4986M, -362 . 0115914, 853.3408616, -1123.601622,

1 906.21844^7, -459.23C254.5, 143.0300226, -25.07495605,1.897540044)

1 X = TI/10G $ Q = CU8ERT (X) S OQDX = Q/3/X S F=F1=S=C

2 00 t J=l,9 S K - J+3 S L = J+6

3 Y = A(J)*Q**K $ F=F+Y $ F1=F1+ K*Y/Q

4 S = S + L*Y/K $ S = AZ + S + 4*AL0G(X)

5 Y = 3 F S CV = Y + X*F1*DQDX

CONVERT TO DIMENSIONED RESULTS, JOULES, MOLES, KELVINS.

6 £Z = R*TI*Y $ HZ = R*TI*(1+Y) B CPZ = R*(1 + CV)

9 SZ = R*S $ CVZ = R*CV $ RETURN $ END

SUBROUTINE ISOTHRM

PRINTOUT THE CRITICAL ISOTHERM.

C0MM0N/1/GK,AL,3B,8E,GA,DE,EP, DCRT

,

TCRT ,PCRT,DGAT , OTRP, TT RP ,PTRP

COMMON/3/DPDT,D2PDT2, DPSDT , OPMDT , DPDO, DPCR , OTSOR , DT HDR

COMMON/**/ X31,X32, XC1,XC2, XE1,XE2, X3DR,DXCDR,DXE0R

COMMON/6/ TSAT, THETA, PSAT

1 FORMATdHi i^X *THE CRITICAL ISOTHERM* //

1 6X4HTC =F7.2, 5H, DC =F5.2, 6H, PC =F11,7,

2 *. AT THE C.P., 3PS/DT =* F8.5, 9H , DP/DT =F8.5//

3 6X4HD/UC 9X5HTS/TC 9X5HPS/PC 10X4HP/PC 9X5HDP/DR 4X6HDTS/DR

4 4X6H0TH/DR <*X6HDPS/DR 4X6HDXD/DR 4X6HDXC/DR ) 2 F0kMAT«2X F3.2, 3F14.10, F14.9, 5F10.5)

3 PC = PVTF(TCRT,OCRT,0> $ DXCDR =

< PRINT 1, TCRT, DCRT, PCRT, OPSDT,DPDT $ 00 8 J = l,51

5 DR = 0.74 0.01*J $ DN = DR*DCRT

6 PR = PVTF<TCRT,DN,1) /PCRT $ DPSDR = DPS0T*DTS0R

7 TSN = TSAT/TCRT $ PSN = PSAT/PCRT

3 PRINT 2, DR, TSN, PSN, PR,DPDR, DTSDR,OTHDR, DPSDR,

1 DXBDR, DXtDR

9 RETURN $ END

33
Appendix D. Continued.

SUBROUTINE JTLOCUS

C DERIVE THE J-T INVERSION CURVE. USE ROUTINE DElT AF ( T , 01)

OIMtNSION TT<99> ,PP(99) ,DN(99)

DATA (DCRT=5.80> , ( TCRT=3 05 . 33

)

1 FGRMATC1H1 lbX *THE JOULE-THOMSON INVERSION LOCUS FOR ETHANE*//

i 17X3HT,K 5X5HP,BAR 5X5HMOL/L 7X3HT,K 5X5HP,BAR 5X5HM0L/L)

Z FGRMATdOX lib, F10.lt F10.2, 110, FiG.l, F10.2)

6 TA = 2^0 5 NP = 72

7 PRINT 1 $" DO 25 1 = 1, NP S DX = 1.6

3 T = TA + 5*1 5 X = T/TCRT

-9 OI = DCRT*(2.<»G - 0.5S*X + Q.2WX)

lu IF(T-TCRT) 11,12,12

11 OL = DENLIQFm 56 IF(OI-OL) 25,12,12

12 SS = OELTAF(T,DI) $ 00 20 IT=1,15

1^ 0=OI-QX $ SL=OELTAF(T,0) $ D=OI+DX S SP=DELTAF < T , 0)

15 IF(SS-SL) 13,16,1b

16 IF(SP-SL) 13*17,17

17 SS = SL $ 01 = DI - OX $ GO TO 20

13 IF<SS-SP) 20,20,19

1j SS = SP b 01 = 31 f OX

2j OX = DX/2

23 TT(I) = T £ ONU) = 01 $ PP(I) = PVTF(T,DI,0)

25 CONTINUE $ N = NP/2 $ DO 29 J=i,N

26 IT = TT(J) 5 ITT = TT(J+N)

23 PRINT 2, IT,PP<J) ,DN(J) , ITT , PP ( J + N) , ON < J + N)

3u RETURN £ EN3

SUBROUTINE LIGJHRM

C FOR OEN > R8=1^.5 MQL/L, AND T < TA=256.562 K.

C GIVEN P,T, GET DEN AND ALL FUNCTIONS.

C START ON SATD.LIQ., THEN INTEGRATE ALONG ISOTHERM T. COMMON/3/0PDT,02P0T2,OPSDT,0PMDT,DPOD,0PDR,0TSDR,DTH0R

COMMON/5/ OOSDT

COMMON/3/ IN, IK, P,T,OEN, E,H,S, CV,CP,CSAT, W,WK

1 E = ESATF(T) J S = SSATF(T) $ DA = DENLIQFCT)

2 OOLOT = ODSDT $ DEN = 03 = FINDENF(T,P)

3 PX = PVTF(T,DA,0) $ CV = CSATXF(T) + 100* T*DPDT*DDLOT/OA/DA

1 OX = ABS(OB-OA) $ N = <OX+l)*5 $ .£ = E + ESUMF < N, T ,DA , DB)

5 H = E 100*P/DB $ S = S + SSUMF ( , N , T , DA , DB)

5 CV = CV + CSUMF(N,T,DA,DB) S PX = PVTF(T,DB,1)

7 CF = CV + 10£*T/DPDD* (DPDT/DB)**2

3 W = SQRT<WK*CP*OPDD/CV) $ RETURN $ END

SUBROUTINE PEEK

C EXAMINE BEHAVIOR OF THE COEFFICIENTS.

C B(S) 5 31 + B2*S + B3*S2, E«S> E SN*SR*lEl + E2*S + E3*S2).

COMMON B1,B2,B3, C1,C2,C3, E1,E2,£3, ER

C0MM0N/1/GK,AL,3B,BE,GA,DE,EP, OCRT , TCRT, PCRT , DGAT , DTRP, TTRP , PTRP

COMMON/6/ TSAT, THETA, PSAT

k FCRMATilHl 1WX *EQUATION OF STATE, COEFFICIENTS* //

1 15X 6H0TRP = F8.<*, 8H, TTRP =F8.3, 8H, PTRP =E16.9/

2 15X 6HGCRT =F8.^, 8H, TCRT =F8.3, 8H, PCRT =F13.9//

3 15X i+HAL =F5.2, 6H, BB =F5.2, 6H, BE =F5.2/

34
Appendix D. Continued.

< 15X 4HGA =F5.2, 5H, OE =F5.2, 6H, EP =F5.2//

5 2(13X 3Fi6.ll/) ) 5 F0RMATC15X 5HM0L/L 6X<»HTSAT 5X5HTHETA 6X<+HPSAT 9X1HB 9X1HC ) 6 FORMATdOX F10.1, 5F10.3)

73 PRINT <, OT«P,TTRP,PTRP, OCRT ,TCRT, PCRT , AL,B3,8E, GA,OE,EP,

1 B1,82»B3, E1,E2,E3

71 PRINT 5 i DO 77 J=l,<*^ $ ON = 0.5*J $ R = S = DN/OCRT

72 R2 = R*R $ SN = S-l $ SR = S-ER S C = 73 B = Bl + B2*R + B3»R2 $ E = SN*SR*(E1 + E2*R + E3*R2)

7b TS=TSAT=TSATF(DN) S TH=THETAF (ON ) $ PS=PSATF(TS)

77 PRINT 6, ON, TS,TH,PS, B,E $ RETURN J END

FUNCTION PMELTF(T)

C ETHANE MELTING LINE, BAR. ST RAT Y/TSUMURA, 1975.

C SIMON EQN., P = PTRP + A*<X**E-1), X = T/TTRP.

C0MM0N/1/GK,AL,B8,BE,GA,DE,EP, OCRT ,TCRT , PCRT ,OG AT , DTRP,TTRP , PTRP

CCMM0N/3/DPOT,02PDT2,DPSDT,DPMDT , DPOO , DP OR, DTSDR,DTHDR

OATA (A=2559.65) , <E=2.179)

1 X = T/TTRP 5 XE = X**E $ PMELTF = PTRP + A*(XE-1)

3 OPMDT = A*E*XE/X/TTRP $ RETURN $ ENO

FUNCTION PSATF(T)

C NEW ETHANE VAPOR PRESSURE EQUATION, FALL OF 1975. P IN BAR.

C EQN., LN1P/PT) = P1*X + P2*U + P3*U2 * P <*U3 + P5*U* < 1-U) **E

C ARGS., U E (T-TT)/(TC-TT) , X E (1-TT/T) / ( 1-TT/TC) . COMMON/3/OP0T,O2POT2,OPSDT,0PM0T,OPDD,DPDR,OTSDR,0THDR

DATA <TTRP = 90.3»»8) , ( TCRT = 305 . 33)

OATA (EPP=1.3) ,(PTRP = 1.13C8't2618E-5>

DATA ( P 1=1 8.k 5 22 82 8 76) , ( P2=- 7. 635^1513^5)

,

1 (P3 = 5.*28<t<*31QC6) , ( P*f = -1 . 362 32 7 362 ) , <P5 = . 7692^92 586)

1 FORMATI1H3 9X *PSATF = 0, T EXCEEOS TCRT . * / ) 2 UN = TCRT-TTRP $ XN = 1 - TTRP/TCRT

3 U = (T-TTRF)ZUN 5 X = ( 1-TTRP/T ) /XN

k U1T = l.C/UN $ X1T = TTRP/XN/T/T $ U2 = U*U $ U3 = U*U2

6 V = 1-U $ IF(V) 7,8,9

7 PRINT 1 $ STOP

8 Z = Zl = C S GO TO 10

9 W = V**EPP £ Wl = -EPP*W/\/ $ Z = U*W $ Zl = U*W1 + W 10 F = P1*X + F2*U P3*U2 P<t*U3 P5*Z

11 FIT = P1*X1T +• (P2 • 2*P3*U + 3*P<+*U2 P5*Z1)*U1T

12 PSATF = PTRP*EXP(F) $ OPSDT = F1T*PSATF $ RETURN $ END

35
Appendix D. Continued.

FUNCTION PVTF(T,D,M)

C P\/TF = P,BAR. M = YIELDS OP/OT , 02P/0T2 . M=i YIELDS ALSO DP/OD.

C NOTE, R = S = OEN/DCRT, ANO GK = . G 831<t3<+*DCRT , BAR/K.

C EQNSTATE, P-PSAT = S*GK* ( T-TSAT) S*S*GK*TCRT*F (R, T ) , WHERE - C F(R,T) E B(S) *X3F (R,T) * E (S ) *XEF{ R ,T ) , AND - C B(S) E Bl + 32*R * B3*R2, £(S) E SN*SR*(E1 + E2*R + E3*R2).

COMMON 31,32,83, C1,C2,C3, El,E2,E3, ER

COMMON /1/GK,AL, 83, BE, GA,DE,EP, OCRT , TCRT ,PCRT ,DGAT , OTRP,TTRP,PTRP

CGMM0N/3/DP0T,D2P0T2,DPSDT,DPMDT,DPDD,DPDR,DTSDR,DTH0R

COMMON/i+Z X31,X32, XC1,XC2, XE1,XE2, D X3DR,DXC0R ,DXEDR

COMMON/b/ TSAT, THETA, PSAT

1 R=S=D/DCRT $ R2=R*R $ R3=R*R2 $ SN = S-l $ SR = S-ER

2 TC = TCRT i RG = R*GK $ GKT = GK*TC S DSDR = LTRP/DCRT

3 TS=TSAT=TSATF(D) S PS=PSAT=PSATFTS) $ THETA=THETAF ( D)

* XB = X3F(T,D) 5 XE = XEF(T,D)

5 3= 81*R2 + B2*R3 + 83*R*R3 S SM = SN*R2*SR

6 ESM = El + E2»R « E3*R2 $ E = ESM*SM

10 F = B*X3 * E*XE S Fl = B*X31 E*XE1

11 F2 = B*XB2 + E»XE2 $ PVTF = PS * RG*(T-TS> + GKT*F

Ik OPOT = RG + GK*F1 $ D2PDT2 = GK*F2/TC I IF(M) 15,30

15 BO = <2*B1*< + 3*82*R2 + <**B3*R3 ) *DSDR

16 ESI =E2+ 2*E3*R i SMI = SN*R2 + (3*R2 - 2*R)*SR

17 ED = (ESM'SMl + E3l*SM)*DS0R

2j Fl = 3*DX8DR « BD*XB * E*DXEDR + £D*XE

2b DFOR = (OPSOT-RG)*OTSDR + (T-TS) *GK*OSDR + GKT*F1

27 OPOO = DPuR/DTRP

30 RETURN $ END

C

Cc

c

FUNCTION QVAPXF(T)

VIA PROGRAM OVAP-3, 2/9/76, USING DATA OF - DOUSLIN, RIEOEL, FURTADO. FOR k3 POINTS, RMS = 0.56 PCT.

DEFINE X = (TC-T)/(TC-TT) , U = X**l/3, WHEN EQN. IS - OV = A1*U A2*U2 + . . . + A6*U6.

DIMENSION A(6)

DATA (TT = 9G.3«»8),<TC = 305.33)

DATA(A = 12.85778^, 5.^095302, 33.835851,

1 -97.52G^86, 100. 8^+976, -37.933878)

1 U = CUBERT ((TC-T) /(TC-TT) ) $ Q = $ DO 2 K=l,6

2 Q = Q «• A<K)*U**K 3 QVAPXF = 100Q*Q $ RETURN $ END

36
Appendix D. Continued,

SUBROUTINE iATGSTR

GIVEN P,T AT SATURATION, GET DEN ETC. - COMMON/1 /GK, A L,BB, BE, GA,DE,EP, OCRT , TCRT ,PCRT ,DGAT , DTRP, TT RP , PT RP

COMMON/ 3/ OPOT, D2P0T2 , OP SOT, OP MOT OPOD , DP OR, DTSDR,OTHOR

COMMON/8/ IN, IK, P,T,OEN, E,H,S, CV,CP,CSAT, W,WK

CCMMON/99/ TI,EZZ, EZ,SZ,CVZ, HZ,CPZ

DATA (DA = J. U ) , (U= 1.01325) , IG=0. 0831 *+3<+) 20 FORMAKlHi 9X *T EXCEEDS TCRT IN SATGSTR.* / ) 1 TI = T $ CALL IDEAL $ DEN = 03 = DENGASF(T)

2 N = 03*20 + 10

3 E = EZZ + EZ ESUMF(N,T,DA,DB) S H = E + 100*P/DB

« S = SZ + SSUMF(l,N,T,DA,OB) - 10 G*G* ALOG <G*T*OB/Q)

5 IF(T-TCRT) 9,6,12

6 CP = CV = W = $ RETURN

9 CV = CVZ + 3SUMF<N,T,0A,D3) $ PX = PVTF(T,DB,1)

10 CP = CV 1JC*T/DFDD* (DPDT/D3>**2

11 W = SQRT (WK*CP*OPDD/CV) $ RETURN

12 PRINT 20 £ STOP $ ENO

SUBROUTINE SAFLUTR

GIVEN P,T FOR SAT.LIQ,, GET DEN ANO ALL FUNCTIONS AT T < TA.

COMMON /3/DP0T,02PDT2,DPS0T,DPMDT, OPOD, DPDR, DTSDR, DTHDR

COMMON/5/ DOSDT

COMMON/6/ IN, IK, P,T,DEN, E,H,S, CV,CP,CSAT, W,WK

1 E = ESATF(T) $ S = SSATF(T) $ CSAT = CSATXF(T)

2 DEN = DENLIQF(T) $ ODLDT = OOSDT $ H = E + 100*P/DEN

3 PX = PVTF(T,DEN,1) 5 CV = CSAT + 100 *T*DPDT*DDLOT /DEN/DEN

< CP = CV 100*T/DPDO* (DPDT/DEN)»*2

6 W = SQRT <WK*CP*OPDD/CV) $ RETURN $ END

FUNCTION SSATF(T)

C START WITH S = SA AT TA = 256.562 K, THEN - C USE INTEGRAL FORM OF ROOER CSATXF(T). GET CHANGE FROM TA DOWN TO T. COMMON/7/ TA,TB,PB,RB, EA,HA,SA, EB,HB,SB

CCMMON/9/ AU,BU,CU,DU, AS , BS , CS , OS, ES, ETB,ST3,STA

1 F = (305.33-T)**G.<+

3 STT = AS*ALOG(T) + BS»T - CS*F/0.<* - DS/T - ES/2/T/T

< SSATF = SA + STT - STA $ RETURN $ ENO

37
Appendix D. Continued.

FUNCTION SSUMF(L,N,T,DA,DB)

C OENSITY-QcPENDENT CHANGE OF S FROM OA TO OB.

C OELTA S = INTEGRAL(GK-(DP/OT)/DN)*DX/DN.

COMMON/3 /OP OT,02POT2, OPS DT , DPMDT , DPDD, DP [R,DTSDR,DTHDR

DATA (GC = 0.u83l<t34>

1 SSUMF = £ OX = (DB-OA)/N $ IF(L.EQ.O) 4,2

2 00 3 J=1,N £ ON = DA + (J-Q.5)*DX S P = PVTF < T , DN , 0)

3 SSUMF = SSUMF + ( GC-OPOT/ON) *DX/ON $ GO TO 9

it 00 5 J=1,N '$ ON = DA + (J-Q.5)*JX $ P = PVTF(T,DN,Q)

5 SSUMF = SSUMF - DPGT*DX/ON/DN

9 SSUMF = 10G*SSUMF £ RETURN $ END

SUBROUTINE TABLIQ

C TABULATE THE ETHANE SATURATED LIQUID FUNCTIONS.

C0MMON/l/GK,AL,8S,8E,GA,0E,EP, QCRT , TCRT ,PCRT , DGAT , DTRP, TTRP, PTRP

COMMON/3/ OP QT,D2P0T2,0PS0T, DPMDT, OPOO, DP DR, DTSDR,DT HDR

COMMON/5/ ODSDT

COMMON/7/ TA,T8,PB,RB, EA,HA,SA, EB,HB,SB

COMMON/8/ IN, IK, P,T,DEN, E,H,S, CV,CP,CSAT, W,WK

DIMENSION TSA(46), PSA(46>

<* F0RMATI1H1 13X ^PROPERTIES OF SATURATED LIQUIO ETHANE* //

1 14X1HT 10X1HP 5X3HDEN 4X5HV,LIQ 6X5HV,G/!S 5X6HDPS/DT 3X6HDDL/DT

2 4X5H0P/0T CX5HDP/DD 2X5HQ,\/AP 2X5HQ,XPT /

3 10X5HOEG K 8X3HBAR 3X5HM0L/L 4X5HL/M0L 6X5HL/M0L 6X5HBAR/K

4 2X7HM0L/L/K <tX5H3AR/K 2X9H8AR-L/MCL 2X5HJ/M0L 2X5HJ/M0L ) 5 F0RMAT(5XFl„.3, Ell. 4, F8.3, F9.5, Eil.<i t Ell. 3, 2F 9. 4, Ell . 3 ,217)

11 FORMATdHl 13X ^PROPERTIES OF SATURATED LIQUIO ETHANE* //

1 14X1HT 11X1HP 9X1HE 9X1HH 9X1HS

2 6X2HCV 6X2HCS 6X2HCP 6X1HW 4X6HCS,XPT /

3 luX5HQEG K 9X3HBAR 5X5HJ/M0L 5X5HJ/M0L 3X7HJ/M0L/K

4 1X7HJ/M0L/K 1X7HJ/M0L/K 1X7HJ/M0L/K 2X5HM/SEC 3X7HJ/M0L/K ) 12 F0RMAT<5X F10.3, E12.4, 2F10.1, F10.3, 3F8.2, 17, F10.2)

C FOR PAGE ONE OF TABLIQ.

14G PRINT 4 £ NP = <*5 141 00 151 J=1,NP $ IF(J.EQ.l) 142,143

1*2 T = TTRP S GO TO 147

lf3 IF(J.EQ.NP) 144,146

Ihh T = TCRT £ DG = OL = OCRT $ DOLDT = 145 VG = VL = 1/DG £ GO TO 149

146 T = 85 + 5*J

147 DL = OENLIQF(T) S DDLDT = DDSOT

149 OG = DENGASF(T) £ VG = 1/DG $ VL = 1/DL

149 TSA(J) = T £

3 SA(J> = PS = PSATF(T)

150 IQC = 100*T*DPSDT* (VG-VL) $ IQX = QVAPXF(T) $ PX=PVTF< T , DL , 1

151 PRINT 5, T,PS,DL, VL,VG, OPSDT, DDLDT, DPDT.DPDD, IQC, IQX

C FOR PAGE TWO OF TABLIQ.

C USE SATLQTR AT T < TA, USE THRMXL AT T > TA.

160 PRINT 11 £ DO 165 J=1,NP

161 P=PSA(J) £ T=TSA(J) $ CSX = CSATXF(T) £ IF(T.LT.TA) 162,163

162 CALL SATLQTR £ IW = W £ GO TO 165

163 CALL THRMXL $ IW = W lo5 PRINT 12, T,F, E*H,S, CV,CSAT,CP, IW, CSX

999 RETURN £ ENJ

38
Appendix D. Continued.

SU8R0UTINE TERRES

C COMPARE SOUND VELOCITIES IN HOMOGENEOUS OCMAIN.

C 10 = (3)TERRES ET AL. , BRENNSTOFF CHEMIE 38, 129 (1957).

COMM0N/l/GK,AL,BB,8E,GA,DE,EP, D CRT, TCRT -PCRT ,DGAT , DTRP, TT RP ,PTRP

COMMON/7/ TA,T3,PB,RB, EA,HA,SA, EB,HB,SB

COMMON/8/ IN, IK, P,T,DEN, E,H,S, CV,CP,CSAT, W,WK

1 F0RMATII5, 3F10.0)

2 F0RMATI1H1 7X *TERRES ETHANE SPEED OF SOUND, METERS/SEC. * //

1 8X 2HI0 7X3HT,K 5X5HP,BAR 5X5HM0L/L 5X5HW.XPT 5X5HCALCD <+XUHPCiMT>

3 F0RMATC5X I;, 3F10.3, 2F10.1, F8.2)

6 PRINT 2 $ N = $ DO 20 J=1,30Q

7 READ 1, ID, TC,PK, WX $ IF(ID) 8,30

8 N = N+l $ IF(N.ST.46) 9,10

9 N = 5 PRINT 2 10 T = 273.15 + TC S P = 0.980665*PK

11 IF(T.LT.TB) 12,13

12 IF(T.LT.TA) 13, Ik

13 CALL LIQTHRM $ 50 TO 19

Ik IF(T.LT.TCRT) 15,17

15 PX = PSATF(T) $ IF(P.GT.PX) 16,18

16 CALL THRMOX $ GO TO 19

17 PX = PVTF(T,OGRT,G) $ IF(P.GT.PX) 16,18

18 CALL THRMOGS

19 PCT = 100.0M1-W/WX)

20 PRINT 3, ID, T,P,DEN, WX,W, PCT

30 RETURN $ END

FUNCTION THETAF(DEN)

C THETA = TSAT»EXP(U(S) ) . C LET Q = (S-1)/(ST-1) , WHERE ST = DTRP/DCRT, THEN -

C IF S < 1, U = AL*Q**3, IF S > 1, U = -AL*Q**3,

C YIELDS ALSO THE FIRST DERIVATIVE RSP. TO RHO E DEN/DTRP.

COMMON/ 1/GK, AL,BB,BE,GA,OE,EP, DCRT , TCRT ,PCRT , DGAT , DTRP, TT RP ,PTRP

C0MM0N/3/0PDT,D2P0T2,0PS0T,DPM0T,DPDD,DPDR,DTSDR,DTHDR

COMMON/fc/ TSAT, THETA, PSAT

1 S = OEN/DCRT $ DSDR = DTRP/DCRT $ C = DSDR-1

2 Q = (S-D/C $ Q2 = Q*Q $ U = AL*Q*Q2

3 Ul = 3*AL*Q2*0SDR/C $ IF(Q) 5,9,^

k U = -U $ Ul = -Ul

5 XF = EXP (U) 5 THETAF = TSAT*XP

6 OTHDR = (TSAT*U1 + DTSOR)*XP $ RETURN

9 THETAF = TCRT $ DTHDR =0 $ RETURN $ END

39
Appendix D. Continued.

SU8R0UTINE THRMOGS

GIVEN P,T FOR HOMOGENEOUS DOMAIN, GET DEN AND FUNCTIONS.

C0MM0N/3/DPDT,D2PDT2,0PSDT,0PMDT,DPQD,DPDR,DTS0R,DTHDR

COMMON/8/ IN, IK, P,T,DEN, E,H,S, CV,CP,CSAT, W,WK

COMMON/99/ TI,EZZ, EZ,SZ,CVZ, HZ,CPZ

DATA ( DA=0.0 ) , <Q= 1.01325) , (G= 0. d31^3<+ ) 1 TI = T $ CALL IDEAL $ DEN = DB = FINDENFIT.P)

2 N = 0B*2U + iu

3 E = EZZ + EZ + ESUMF(N,T,DA,DB) J H = E + 100*P/DB

k S = SZ + SSJMF (1 ,N,T,DA,D3) - 10 0*G* ALOG <G*T*DB/0)

7 CV = CVZ + CSUMF<N,T,DA,OB) $ PX = PVTF (T» DB,1)

8 CP = CV + 1JQ*T/DPG0*(DPDT/0B)**2

9 W = SQRT(WK*CP*DPGD/CV) $ RETURN $ END

SUBROUTINE THRMOX

C REGION X AT JEN > JCRT, TA < T < TB.

C GIVEN P,T, GET OEN AND ALL FUNCTIONS.

C START WITH VALUES FROM CVSUMIT, THEN INTEGRATE ALONG ISOTHERM T. COMMON/3/0PDT,D2PDT2,OPSDT,DPM0T,0PQD,DPDR,0TSDR,DTHDR

COMMON/8/ IN, IK, P,T,DEN, E,H,S, CV,CP,CSAT, W,WK

1 CALL CVSUMIT $ 0A = DEN $ DEN = DB = FINDENF(T,F)

2 DX = A3S(03-0A) i N = (DX+1)*5

3 E = E * ESUMF(N,T,OA,DB) $ H = E + 100*P/OB

* S = S • SSUHF (0,N,T,DA,DB)

5 CV = CV + CSUMF(N,T,DA,D8) $ PX = PVTFT»DB«'iJ

6 CP = CV + iau*T/DP0D*(DPDT/DB)**2

7 W = SQRT(WK*CP*DPDD/CV) $ RETURN $ ENO

SUBROUTINE THRMXL

GIVEN P,T FO« SAT.LIQ. IN REGION X, GET OEN ANO FUNCTIONS.

CGMMON/3/QPDT , 02PDT2 , DPSDT , DP MOT , OPDD , OPDR, DTSOR,OTHDR

COMMON/5/ DOSDT

COMMON/o/ IN, IK, ?,T,DEN, E,H,S, CV,CP,CSAT, W,WK

OATA (TCRT = 305.33)

1 CALL CVSUMIT $ [ifi = DEN $ OEN = DB = OENLIOF(T)

2 OX = A3S(Dd-DA) $ N = (DX+1)*5

3 E = E « ESUMF(N,T,OA,DB) $ H = E + 100*P/DB

k S = S SSUMF (0,N,T,DA,DB) $ I F < T . LT . TCRT) 7,6

6 CSAT = CV = CP = W = C S RETURN

7 CV = CV + CSUMF(N,T,0A,D3) $ PX = PVTF(T,DB,1)

6 CP = CV + 10£j*T/DPQOMDPDT/DB)**2

9 CSAT = CV - 100*T*DPOT*DOSOT/DEN/OEN

10 W = SGRT (WK*CP*DPDD/CV) $ RETURN $ END

40
Appendix D. Continued.

FUNCTION

ITERATE T COMMON/1

COMMON/3

COMMON/5

OATA <Q=

NOTE, F FORMAT (1

0=0EN $

ST=DGAT/

ST=DTRP/

T = TCRT

00 15 J=

DO = -

8 OD = D

-

9 IF(A3S(0

10 OT = DO/

11 T = T 12 T = TTRP

13 IFtT.LT.

1<* T = TCRT

15 CONTINUE

16 TSATF = 30 TSATF =

TSAT

TO M /GK,A

/OPDT

/ DOS

1.5) , NEE

HO 9X

S = D/D

DCRT

DCRT

/<1

1,50

DENG

DENL

D/D) . DDSDT

OT

S TCRT)

" u • S T $

TCRT

FtDEN

INIMI

L,B8,

,02PD

DT

(FN = 3 XP(Q)

»TSA

CRT $

S F = A $ U=(

YN*F

$ I ASF(T

IQF(T

LT.l.

S

$ I GO

15,1

10

PRI

OT

S

)ZE (OEN-DCALC) VIA DENGASFCT), OENLIQF(T).

BE,GA,DE,EP, DCRT , TCRT ,PCRT ,DGAT , DTRP, TTRP , PTRP

T2,0PS0T,DPMDT,0P0D,DPDR,DTSDR,DTHDR

TF

YN

LOG

tS-

)FtD

)

)3EI F(T

TO

<

168907)

1.0.

FAILS TO CONVERGE. * / ) =TCRT/TTRP-1 $ IF iDEN-OCRT) 3,30,^

tS)/ALOG(ST)*t tl-S)/ll-ST) )**2 $ GO

1)/(ST-1))**3 $ F=(EXP(Q*U)-1) /FN

EN-DCRT) 7,30,8

$ GO TO 9

7) 16,10

F(ABS(DT/T) .LT.1.0E-7) 16,11

) 12,12,13

15

TO 5

NT 1 $ STOP

SDR = OTRP/DOSDT $ RETURN

OTSDR =0 S RETURN $ END

SUBROUTINE TSUMURA

C COMPARE SOUND VELOCITIES IN SINGLE PHASES.

C 10., (9) TSUMURA (NBS, FEB., 1976).

COMMON/l/GK,AL,BB,BE,GA,DE,EP, OCRT , TCRT ,PCRT ,OGAT , DTRP, TTRP, PTRP

COMMON/7/ TA,T8,PB,R8, EA,HA,SA, EB,HB,SB

COMMON/8/ IN, IK, P,T,DEN, E,H,S, CV,CP,CSAT, W,WK

1 FORMAKI5, 3F10.0)

2 FORMATI1H1 7X *TSUMURA ETHANE SPEED OF SOUND, METERS/SEC. * //

1 8X 2HID 7X3HT,K 5X5HP,BAR 5X5HM0L/L 5X5HW.XPT 5X5HCALCD 'X'+HPCNT)

3 FORMATI5X 15, 3F15.3, 2F10.1, F8.2)

6 PRINT 2 $ N = $ DO 20 J=l,300

7 READ 1, ID, T,P, HX $ IFCID) 8,30

8 N = N + l $ IF(N.ST.5*t) 9,11

9 N = $ PRINT 2 11 IF(T.LT.TB) 12,18

12 IFtT.LT. TA) 13,l«f

13 CALL LIQTHRM $ GO TO 19

Ik IFtT.LT. TCRT) 15,17

15 PX = PSATF(T) $ IF(P.GT.PX) 16,18

16 CALL THRMOX $ GO TO 19

17 PX = PVTF(T,OCRT,0) $ IF(P.GT.PX) 16,18

18 CALL THRMOGS

19 PCT = iOO.GMi-W/WX)

20 PRINT 3, ID, T,P,OEN, WX,W, PCT

30 RETURN 5 END

41
Appendix D. Continued.

SUBROUTINE rtSATLIQ.

ID., (DPOOLE/AZIZ, <2)VAN GEEL, (3)TSUMURA.

CCMMON/7/ TA,TB,PB,RB, EA,HA,SA, EB,HB,SB

COMMON/8/ IN, IK, P,T,DEN, E,H,S, CV,CP,CSAT, W,WK

1 F0RMATII5, 2F10.0)

6 FORMATCiHl 7X *SPEEO OF SOUND, SAT.LIQ. ETHANE, METERS/SEC. * /

1 8X Ml) POOLE/AZIZ, (2)VAN GEEL, <3)TSUMURA. * //

1 8X 2HID 7X3HT,K 5X5HP,BAR 5X5HM0L/L 5X5HH,XPT 5X5HCALCD <*X<*HPCNT)

7 FORMATC5X 15, 3F1D.3, 2F10.1, F8.2)

1C PRINT 6 5 L = $ DO 20 J=l,30fl

11 READ 1, ID, T, WX $ IF-(ID) 12,30

XI L = L+l 3 IF(L.GT.itO) 13,14

13 L = $ P*INT 6

l«t P = PSATF(T) $ IF(T.GT.TA) 15,16

15 CALL THRMXL $ GO TO 17

16 CALL SATLQTR

17 PCT = 100.0M1-W/WX)

23 PRINT 7, ID, T,P,DEN, WX,W,PCT

30 RETURN % END

FUNCTION XBF(T,D)

C XBF = SO.RT(T/TC)*LN(T/TS) = Q(T)*Z(R,T),

C Z(R,T) = LN(U), U(R,T) = T/TS<R).

COMMON/l/GK,AL,BB,BE,GA,OE,EP, DCRT , TCRT ,PCRT ,DGAT , DTRP,TTRP ,PTRP

COMM0N/3/DPDT,D2POT2,OPSOT,0PMDT,0PDD,OP [R,DTSDR,DTHDR

COMMON/^/ XB1,XB2, XC1,XC2, XE1,XE2, 0X3DR, DXCDR, DXEDR

COMMON/6/ TSAT, THETA, PSAT

1 TC = TCRT % TS = TSAT $ X = T/TC

2 U = T/TS 5 U1X = TC/TS $ U1R = -U*DTSOR/TS

3 Z = ALOG(U) $ Z1R=U1R/U $ Z1X=U1X/U $ Z2X=-Z1X*Z1X

< Q = SORT (X) $ Ql = 0.5/Q $ 02 = -Q1/2/X

5 XBF = Q*Z S OXBOR = Q.*Z1R $ XB1 = Q*Z1X + Q1*Z

6 XB2 = 0*Z2X + 2*Q1*Z1X Q2*Z $ RETURN $ END

42
Appendix D. Continued,

FUNCTION XEF(T,D>

C XEF E PSI - PSISAT, DEFINE W = (1-TH/T), WHEN -

C PSI = DE/X + (1-0E)*(1 - W W»LN(W)), < DE < 1.

COMMON/l/GK,At,BB,BE,GA,DE,EP, DCRT

,

TCRT, PCRT ,DGAT , DTRP, TTRP ,PTRP

COMMON/3 /DP0T,D2P0T2,DPSDT,DPMDT,DPD0, DP OR, DT SDR, DTHOR

COMMON/1*/ X31,X32, XC1,XC2, XE1,XE2, OXBDR, DXCDR, OXEOR

COMMON/6/ TSAT, THETA, PSAT

1 IF(O.EQ.OCRT) 15,2

2 A = DE $ B = 1-A $ TC = TCRT $ TH = THETA $ TS = TSAT

3 X = T/TC $ X2 = X+X $ XS = TS/TC $ XS1 = DTSDR/TC

W W = 1.0 - TH/T $ IF(W) 15,15,5

5 W1R = -OTHOR/T $ WlX = TH/T/X $ W2X = -2*W1X/X

5 G = ALOG(W) $ U = W*G - W 1 $ U1R = G*W1R

7 U1X = G*W1X £ U2X = G*W2X W1X*W1X/W

8 P = A/X B*U $ P1R = B*U1R

9 XE1 = -A/X2 «• B*U1X $ XE2 = 2*A/X/X2 + B*U2X

10 WS = 1.0 - TH/TS $ IF(WS) 15,15,11

11 GS = ALOG(WS) $ US = WS*GS - WS + 1 12 US1 = <TH*0TSDR/T3 - DTHDR)*GS/TS

13 PS = A/XS + B*US $ PSI = -A*XS1/XS/XS + B*US1

14 XEF = P - PS $ OXEOR = P1R - PSI $ RETURN

15 XEF = XE1 = XE2 = OXEOR =0 $ RETURN $ END

43
Appendix D. Continued,

SUBROUTINE FITTE?

COMMON/999/ NCOF,Y,G(30)

DIMENSION A(3;j, 31) ,3(30,31)

TYP" DOUBLE SY,SYY,RES,A,B

EQUIVALENCE (A,B)

DATA (NTR=-i) , (NDIM=3£

)

37 F0RMAT(*1THE COEFFICIENTS AND THEIR ESTIMATED ERRORS ARES*//)

38 FORMAT <*G*/*G*/*G ESTIMATED RESIDUAL SUM OF SQUARES =*E17.9/

1 * ESTIMATED REGRESSION SUM OF SQUARES =*E17.9/

2 * ESTIMATED TOTAL SUM OF SQUARES =*E17.9/

3* VARIANCE OF FIT = *E17.9/*' DETERMINANT OF THE MATRIX =*E17.9/

4* CORRELATION COEFFICIENT =*E17.9/» NUM3ER OF POINTS =*I5)

U5 F0RMAT(*1THE ARRAYS IN THE FITTING PROGRAM ARE TOO SMALL TO HOLD T 1HE NUMBER OF CONSTRAINTS ANO FUNCTIONS ASKED FOR IN THE CALLING PR

20GRAM*)

371 F0RMAT(E19.1l}',* +0R-*E9.Z)

ENTER HERE TO FIT THE DATA

ENT^Y FIT

I F ( NT P.) 1,3,3

1 NP=£

NF=NCOF

IF(NF.GT.NOIM) GO TO -*4 NCON=0

SY=£<.

SYY = . NY = NF+1

DO 2 1=1, NY

CO 2 J=1,NF

2 A(j,i >=r. IF(NTF .EG. ) GO TO 11

NTR=2

3 SY=Y+SY

SYY=SYY+Y*Y

DO h J=1,NF

A ( J,NY)=A(J,NY) fY*G(J)

DO i* 1=1, NF

4 A (I ,J )=A(I, J) + G(I )*G( J)

NP=NP+1

RETURN

ENTER HERE TO CONSTRAIN THE EQUATION

ENTRY CONSTR

IF(NTR) 10,11,11

10 NTR=3

GO TO 1 11 N=NY-1

IF< (NYfNCON+2) .GT.NDIM) GO TO 44

00 12 1=1,

A (I,NY + 1)=A(I ,NY)

A CNOIM-NCON ,1 )=G( I)

A (NY, I) =G (I)

12 A (I,NY)=G(I)

NCON=NCON+l

GO 13 I=NF,N

ACNY,I + l)=Q.a

13 A(I+1,NY)=3.3

NY=NY+1

A (NY-1,NY)=Y

44
Appendix D. Continued.

RETURN

ENTER H;»E TO INl/ERT MATRIX ANJ GET Cu-I FF ICIENT S FNT-.Y CCEFF

N=NY-1

CO 2C I=1»NF

2 J G(I)=A(1,NY)

00 22 1 = 2,

GO 21 J=I,NY

21 A (1-1 , J)=A(I-1,J) /A (1-1,1-1)

00 22 J=I,N

DO 22 K=I,NY

22 A(J,K)=A(J,K)-A(J,I-1)+A(I-1,K)

MN,NY)=A(N,NY)/A ( N , N ) 3 2U- I = 2,N

L=N-I + 2 DO Zk J = L,N

2<* A(L-1,NY)=A(L-1,MY)-A(L-1,J)*A(J,NY)

RES=SYY

UO 25 1=1, NF

->ZS = RES-A (I ,NY) »G (I»

25 GtI)=A(I,NY)

DF=NP-NF*NCON

Y=NCON

NTR=-1

RETURN

ENTER HERE FOR STATISTICS OF COEFFICIENTS

ENTRY STAT

GO 27 I=1,NC0N

PO 27 J=1,NF

2 7 RES=PtS-A (NDIM-I + 1, J) *A (J, NY) *A(NF+I, NY)

T0T=SYV-SY*3Y/NP

REG=TOT-(?tS

SYY=»ES/DF

ST = l.°6<-2.72/DF+°.[i^/GF* ,t 3 DET=1.

GO 3: 1=1, NF

DET=DET*B (1,1)

3u A (I ,I) = l.iJ/A(I,I)

CO 32 1=2, NF

CO 32 J=Z,I

SY=C.

00 31 K=J,I

31 SY=SY-A (I ,K-1) *A (K-l, J-I)

32 A(I,J-1)=SY*A(I,I>

PRINT 37

DO 36 1=1, NF

L=NF-I

DO 33 J=1,L

K=NF

00 33 M=1,J

N=NF-P+1

33 A(K,I)=A(K,I)-A(K,N)»A(N,I)

DO 3<+ J=2,I

3k A (J-1,I)=A(I, J-l) +SYY

JO 35 J=1,I

35 A (I ,J)=A(I, J) +SYY

B B= B < I , I

45
Appendix D. Continued,

;J-"< IS The V/UIANCi. IF TH r C C

C FF IC I E NT : IF( ' ..I.lT. :.;JJ aB=-B'3

FF='ZT *SGk1 (R3)

J^iB-H (I,NY)

06 P^.INT 371»83d,FF

IFiSYY.LT.C. ) 3YY = -T.YY C0R^= r; ZG/T0T

DC I!.T 3e*i*£5,r;ES,T0T,SYY,0ET t C3S;?,N,F

Sr'R = RES T, Y = SU D T (Sf R/CjF)

c 7TUSN

W PC I NT +5

STOP

END

46
Appendix D. Continued.

PROGRAM ETHRM8A ( INPUT , OUTPUT

)

C ETHANE THERMOFUNCTIONS, BRITISH UNITS, REVISED NOV. 20, 1976.

C ENTER COMPR. LIQ. STATES VIA NBS(RODER) CV ON ISOCHORE RB, AND CSAT,

C NOTE THAT TSATF(DEN) ITERATES ON DENGASF(T), OENLIQF(T).

C NOTE TTRP = -297.0436 F, TCRT = 89.9240 F.

C NOTE DCRT = 12.7650 LB/CUFT, PCRT = 706.536 PSI.

COMMON B1,B2,B3, C1,C2,C3, E1,E2,E3, ER

COMMON/l/GK,AL,BB,BE,GA,DE,EP, DCRT , TCRT , PCRT , DGAT , OTRP , TTRP , PTRP

C0MM0N/3/0P0T,02PDT2,DPSDT,DPMDT,DP0D,DPDR,DTSDR,DTHDR

COMMON/4/ XB1,XB2, XC1,XC2, XE1,XE2, DXBDR, DXCDR, DX EDR

COMMON/5/ OOSDT

COMMON/6/ TSAT, THETA, PSAT

COMMON/7/ TA,TB,PB,RB, EA,HA,SA, EB,HB,SB

COMMON/6/ IN, IK, P,T,DEN, E,H,S, CV,CP,CSAT, W,WK

COMMON/9/ AU,BU,CU,DU, AS ,BS, CS, DS, ES, ETB,STB,STA

COMMON/11/ JT, TR, TF

COMMON/99/ TI,EZZ, EZ,SZ,CVZ, HZ,CPZ

DIMENSION PSI (99)

1 FORMATCI5, 2F10.0)

2 F0RMAT(I5, 3F10.0)

5 FORMAT(IX)

10 FORMAT<lHl 9X *ETHANE FUNCTIONS ON ISOCHORE RB E 14.5 MOL/L* //

1 10X 7HAT TB =F8.3, 6H, PB =F6.3, 7H, DEN =F7.3//

2 10X 4HEB =F10.2, 6H, HB =F10.2, 6H , SB =F10.4//

3 10X 4HCV =F8.3, 10H, CV,XPT =F8.3///

4 10X 7HAT TA = F9.<+, 6H, PS =F8.3, 7H, DEN =F7.3//

5 1GX4HEA =F10.2, 6H, HA =F10.2, 6H, SA = F1Q.4//10X 4HCV =F8.3///

6 10X 5HETB =E17.9, 7H, STB =E17.9, 7H, STA =E17.9)

12 FORMAT(8F10.0)

14 FORMATdHl 18X *ETHANE ISOBAR AT P =* F9.5, 4H PSI / ) 15 FORMATdHl 18X »ETHANE ISOBAR AT P =* 16, 4H PSI / ) 16 F0RMATd4X 1HT 8X1HT 6X3HDEN 6X3HV0L hX5HDP/DT 6X5HDP/D0

2 7X1HE 7X1HH 8X1HS 7X2HCV 7X2HCP 5X1HW /

3 1CX5H0EG F 4X5H0EG R 2X7HLB/CUFT 2X7HCUFT/LB 4X5HPSI/R

4 1X10HPSICUFT/LB 2X6HBTU/LB 2X6HBTU/LB 1X8HBTU/LB/R

5 1X8HBTU/LB/R 1X8H BTU/LB/R 2X4HFT/S ) 17 F0RMAT(6X 2F9.3, F9.3, F9.5, F9.3, F11.2, 2F8.2, F9.5, 2F9.3,I6)

13 F0RMAT(6X 2F9.3, F9.4, F9.4, F9.4, F11.2, 2F8.2, F9.5, 2F9.3.I6)

19 FORMATI6X 2F9.3, F9.5, F9.3, F9.5, F11.2, 2F8.2, F9.5, 2F9.3,I6)

CC CONSTANTS FOR EO.NSTATE MARK VII, 4/12/76.

22 WM = 30.07 $ WK = 100000/WM $ GKK = 0.0831434

23 Q = 1.01325 $ QP = 14.69595/Q

24 TTRP = 90.348 S DTRP = 21.66 $ PTRP = 1. 130842613E-5

25 TCRT = 305.33 J DCRT = 6.80 S PCRT = PSATF(TCRT)

26 DGAT = 1.5153661E-6 $ GK = DCRT*GKK $ EZZ = 4.1863*4627.2

27 AL = 1 $ DE = 2.0/3.0 $ ER = 2 $ BB=8E=GA=EP=

C

23 Bl = 0.48752227313 $ B2 = 0.33198750 982 $ B3 = 0.06854249828

29 El =-0.43113918548 $ E2 = 0.0 $ E3 = . 03779460468

CC INTEGRATION CONSTANTS FOR CVSUMIT, SSATF(T).

30 TB = 33G $ RB=14.5 $ TA=TSATFIRB) $ X = TB/TCRT $ G=ALOG(X)

31 AU=64.0253 $ BU = -163. 36173 $ CU=205. 55275 $ DU=-54. 77598

32 ETB = AU*G + 8U*X + CU*X*X/2 DU*X*X*X/3

33 STB = -AU/X BU*G CU*X + 0U*X*X/2

34 AS=22. 64822683 J BS=0 . 0879616 0711 $ CS=1. 090640627

35 DS=5371. 201454 $ ES=-212338. 994 $ T=TA $ TD= (TCRT-T ) **0 .4

47
Appendix D. Continued.

36 STA = AS*AL0G(T) + BS*T - CS*TD/0.4 - DS/T - ES/2/T/T

C

C ESTABLISH TB.TA, EB,SB, EA,SA, ON ISOCHORE RB = 14.5 MOL/L.

39 T = TB $ P = PB = PVTF(T,RB,0) $ CALL THRMOGS

40 RC=DEN S EB=E $ H3=H $ SB=S $ CVB=CV $ CVX=CVXF<T>

41 T = TA $ CALL CVSUMIT I EA = E $ SA = S

42 PSTA = PS = PSATF(TA) $ HA = EA + 1Q0*PS/RB

43 PRINT 10, TB,PB,RC, EB,HB,SB, CVB,CVX, TA,PS,DEN, EA,HA,SA,CV,

1 ETB, STB, STA

C NOTE RESULTS FOR COMPUTED DATA -

C AT TB E 330 K, RB E 14.5 MOL/L, PB = 422.095 BAR,

C EB = 21321.64 J/MOL, SB = 165.4420 J/MOL/K,

C CV,CALC = 56.108, CV,XPT = 54.053 J/MOL/K.

C FOR CVSUMIT, ETB = -74.58239 J/MOL/K, STB = 118.23635 J/MOL/K,

C AT TA = 256.5624 K, RB = 14.5 MOL/L, PSTA = 15.616 BAR,

C AND, FOR ESATF(T), SSATF(T), EA = 17628.86 J/MOL,

C SA = 152.8227 J/MOL/K, STA = 115.97498 J/MOL/K.

100 CALL JTLOCUS $ CALL TABLIQ

CC COMPUTE THERMOFUNCTIONS ON ISOBARS.

C EACH ISOBAR STARTS ON THE MELTING LINE.

C ISOBARS AT P UNDER PCRT TRAVERSE THE DOME.

110 IN = 1 $ NI = 69 $ READ 12, (PSI ( I ) , 3=1 , NI)

111 DO 300 I = IN,NI i IK = I $ IPSI = PSI(I) $ P = PSKD/QP

112 IFCI.EQ.4) 113,114

113 PRINT 14, PSI(I) $ GO TO 115

114 PRINT 15, IPSI

115 PRINT 16

120 T = FINDTMF(P) $ CALL LIQTHRM $ CALL CONVERT $ V=i/DEN $ IW=W

122 PRINT 17, TF,TR,DEN,V, DPQT,DPOD, E,H,S, CV,CP,IW

123 IT = TF/20 - 1 $ IF(P.LT.PCRT) 125,200

C

C TWO MAIN CASES FOR P UNDER PCRT.

C NOTE 20 DEG.F STEPS FROM -280 THRU 800 F, (55 POINTS).

125 TS = FINDTSF(P) $ TX = TS + 20/1.8 $ K = L = 130 DO 199 J=l,99 S JT = 20*<IT + J)

131 T = TT = 273.15 (JT-32)/1.8

132 IF(P-PSTA) 133,133,150

C MAIN CASE A FOR P NO GREATER THAN PSTA.

133 IF(T.LT.TS) 134,136

134 CALL LIQTHRM $ CALL CONVERT $ V = 1/DEN $ IW = W 135 PRINT 17, TF,TR,OEN,V, DPDT,DPDD, E,H,S, CV,CP,IW $ GO TO 199

136 IF(T.LT.TX) 137,180

137 T = TS $ CALL SATLQ.TR $ CALL CONVERT $ V=1/DEN $ IW = W 138 PRINT 17, TF,TR,DEN,V, DPDT,DPDO, E,H,S, CV,CP,IW $ PRINT 5 139 CALL SATGSTR $ CALL CONVERT $ V=l/OEN $ IW=W

140 IF(P.GT.lu.O) 141,142

141 PRINT 18, TF,TR,DEN,V, DPDT,DPDO, E,H,S, CV,CP,IW $ GO TO 143

142 PRINT 19, TF,TR,DEN,V, DPOT,OPDD, E,H,S, CV,CP,IW

143 T = TT i GO TO 180

C MAIN CASE B FOR P GREATER THAN PSTA.

150 IF(T-TA) 151,151,153

151 CALL LIQTHRM $ CALL CONVERT $ V=1/DEN $ IW=H

152 PRINT 17, TF,TR,DEN,V, DPDT,OPDD, E,H,S, CV,CP,IW $ GO TO 199

153 IF(T.LT.TS) 154,156

154 CALL THRMOX $ CALL CONVERT $ V=1/DEN $ IW=W

155 PRINT 17, TF,TR,DEN,V, DPDT,DPOO, E,H,S, CV,CP,IW $ GO TO 199

48
Appendix D. Continued.

156 IF(T.LT.TX) 157,180

157 T = TS $ CALL THRMXL $ CALL CONVERT $ V=1/DEN $ IW=W

158 PRINT 17, TF,TR,DEN,\/, OPOT,DPOO, E,H,S, C\/,CP,IW $ PRINT 5 159 CALL SATGSTR $ CALL CONVERT $ V=l/OEN $ IW=W

160 PRINT 18, TF,TR,OEN,V, OPOT,DPDO, E,H,S, CV,CP,IW $ T = TT

C CASES FOR HOMOGENEOUS DOMAIN, DEN < DCRT, OR T > TB.

180 IFUT.GT.600) 181,183

181 K = K+l $ JT = JT + 20*K $ IF ( JT , GT. 80 0) 300,182

182 T = 273.15 + (JT-32)/1.8

183 CALL HOMOTRM $ CALL CONVERT $ V=1/DEN $ IW=W

18<+ IFIP.GT.10) 185,186

185 PRINT 18, TF,TR,DEN,V, DPDT,OPDD, E,H,S, CV,CP,IW $ GO TO 199

186 PRINT 19, TF,TR,DEN,V, DPDT.OPDD, E,H,S, CV,CP,IW

199 CONTINUE

C

C CASES FOR P > PCRT.

2u0 K = L = S DO 230 J=l,99 $ JT = 20*tIT+J)

201 T = 273.15 + (JT-321/1.8

202 IF(T.LT.TB) 203,220

203 IF(T.LT.TA) 20*»,206

ZQk CALL LIQTHRM $ CALL CONVERT $ V = 1/DEN $ IW = W 205 PRINT 17, TF,TR,DEN,V,DPOT,DPDO,E,H,S,CV,CP,IW $ GO TO 230

206 IF(T.LT.TCRT) 211,207

207 PX = PVTF(T,DCRT,0) $ IF(P.GT.PX) 211,225

C CASE FOR REGION X AT TA < T < TB, P ABOVE CRITICAL ISOCHORE.

211 CALL THRMOX S CALL CONVERT S V = 1/DEN $ IW = W 212 PRINT 17, TF,TR,DEN,V,DPDT,DPDD,E,H,S,CV,CP,IW $ GO TO 230

C CASES FOR HOMOGENEOUS DOMAIN, DEN < DCRT, OR T > TB.

220 IFUT.GT.600) 221,225

221 K = K+l 5 JT = JT 20*K $ IF ( JT . GT. 8 00) 300,222

222 T = 273.15 (JT-32)/1.8

225 CALL HOMOTRM $ CALL CONVERT $ V = 1/DEN $ IW = W 226 PRINT 17, TF

,

TR,DEN , V ,DPOT ,DPDD ,E ,H ,S , CV , CP , IW

230 CONTINUE

300 CONTINUE

999 STOP $ END

SUBROUTINE CONSAT

CONVERT SI TO BRITISH UNITS, ETHANE MW = 30.07 G/MOL.

COMM0N/3/DPDT,D2PDT2,DPSDT,DPMDT,DPD0,DPDR,0TSDR,DTHDR

COMMON/8/ IN, IK, P,T,DEN, E,H,S, CV,CP,CSAT, W,WK

COMMON/11/ JT, TR, TF

COMMON/12/ TT,PS,DL, ODLDT, VG,VL,Q, QX,CSX

DATA (EK=69. 8960 22 3) , (SK=125. 812 8^0) , ( DK=0. 53270 577

)

DATA (PTK=(i.i2<tlQ562> , I PD K = . 129^289 85 ) 1 TR = 1.8*TT $ TF = 32 1. 8*(TT-273 . 15

)

2 PS = PS*1<». 503775 $ DPSDT = DPSDT/PTK

3 OPOT = OPDT/PTK $ OPDD = DPDD/PQK $ DOLDT = DDLDT/DK/1.8

k DL = DL/DK $ VG = VG»DK $ VL = VL»DK

5 E=E/EK $ H=H/EK $ Q=Q/EK $ QX=QX/EK $ CSX=CSX/SK

6 S = S/SK $ CV = CV/SK S CP = CP/SK $ CSAT = CSAT/SK

9 W = 3.28G8<*»W $ RETURN $ END

49
Appendix D. Continued.

SUBROUTINE CONVERT

CONVERT SI TO BRITISH UNITS, ETHANE MW = 30.07 G/MOL.

C0MMON/3/QPDT,D2PDT2,QPSDT,0PMOT,OPDD,DPGR,DTSDR,OTH0R

COMMON/8/ IN, IK, P,T,DEN, E,H,S, CV,CP,CSAT, W,WK

COMMON/11/ JT, TR, TF

DATA (EK=69. 8 960 22 3) ( SK= 125 . 812 8<+0 ) , ( DK=0 , 53270 577 ) OATA <PTK = G.12<tl0562> ,( POK=0 . 129^28985 ) 1 TR = 1.8*T S TF = 32 + 1. 8* (T-273 . 15

)

2 OEN = OEN/OK $ E = E/EK $ H = H/EK

3 S = S/SK $ CV = CV/SK $ CP = CP/SK $ W = 3.2808^*W

i* QPOT = DPQT/PTK $ OPDO = OPDO/POK

5 RETURN S END

SUBROUTINE HOMOTRM

C VALIO ONLY AT T,F = INTEGER MULTIPLES OF 20 DEG.F.

C GIVEN P,T FOR HOMOGENEOUS DOMAIN, GET DEN AND FUNCTIONS.

C SAVE DKCT), EK(T), SK(T), CK(T) ALONG EACH ISOBAR.

C NOTE, -280 < JT < 800, 1 < (JT/2G + 15) < 55 POINTS.

COMMON/3/DPCT,D2PDT2,DPSDT,DPMDT,0PDD,DPDR,DTSDR,OTH0R

COMMON/8/ IN, IK, P,T,DEN, E,H,S, CV,CP,CSAT, W,WK

COMMON/11/ JT, TR, TF

COMMON/99/ TI,EZZ, EZ,SZ,CVZ, HZ,CPZ

OI MENS ION OK(7 0),EK(70) ,SK(70),CK(70)

DATA (Q=l. 01325), ( G= . 0831^3^)

1 J = JT/20 + 15 $ IF(IK.EQ.IN) 2,10

2 TI = T $ CALL IDEAL $ DA =

3 DK(J) = DEN = DB = FINDENF(T,P) S N = DB*20 + 10

i* EK(J) = E = EZZ EZ + ESUMF(N,T,DA,DB)

5 SK(J) = S = SZ + SSUMF(l,N,T,OA,DB) - 10Q*G* ALOG (G*T*DB/Q)

6 CK(J) = CV = CVZ + CSUMF(N,T,DA,DB) $ GO TO 20

10 DA = DK(J) $ DK(J) = OEN = DB = FINDENF(T,P)

12 DX = A8S(DB*DA) $ N = <DX+1)*5

13 EK(J) = E = EK(J) + ESUMF(N,T,DA,DB)

Ik SK(J) = S = SK(J) + SSUMF(0,N,T,DA,DB)

15 CK(J) = CV = CK(J) CSUMF(N,T,DA,OB)'

20 H = E 1QQ*P/DB S PX = PVTF(T,DB,1)

21 CP = CV + 13G*T/DPOD* (DPDT/DB)**2

22 W = SQRT <WK*CP*DPOD/CV> $ RETURN $ END

SUBROUTINE JTLOCUS

DERIVE THE J-T INVERSION CURVE. USE ROUTINE DELT AF ( T , DI)

DIMENSION TT(99) ,TF<99) ,PP(99) ,0N(99)

DATA <OCRT=6.80) , (TCRT=305. 33)

1 FORMATI1H1 16X *THE JOULE-THOMSON INVERSION LOCUS FOR ETHANE*//

1 12X 3HT,F 5X3HT,R 2X5HP,PSI 2X7HLB/CUFT

2 9X 3HT,F 5X3HT,R 2X5HP,PSI 2X7HLB/CUFT ) 2 FORMATC3X 2(F12.2, F8.2, 17, F9.2))

3 PRINT 1 $ NP = 6<* k DO 25 1=1, NP $ TF(I) = -20 + 10*1

5 TT(I) = ^59.67 TF(I) $ T = TT(I)/1.8

50
Appendix D. Continued.

6 X = T/TCRT $ OX = 1.6

9 DI = DCRT»(2.«fO - Q.58*X + 0.2<*/X)

10 IF(T-TCRT) 11,12,12

11 OL = DENLIGIF(T) $ IF(DI-DL) 25,12,12

12 SS = DELTAF(T,OI) S DO 20 IT=1,15

Ik 0=DI-OX i SL=DELTAF(T,D) $ Q=OI+DX $ SP=DELTAF ( T , D)

15 IF(SS-SL) 13,16,16

16 IF(SP-SL) li, 17,17

17 SS = SL I 01 = 01 - OX $ GO TO 20

15 IF(SS-SP) 20,20,19

19 SS = SP $ DI = 01 + DX

20 OX = OX/2 5 ON(I) = 01/0.53270 577

21 PP(I) = 1*.50377<»*PVTF<T,DI,0)

25 CONTINUE £ N = NP/2 $ DO 29 J=1,N

26 IP = PP(J) $ IPP = PP(J+N)

29 PRINT 2, TF(J) ,TT(J) ,IP,ON(J) , TF ( J + N) ,TT ( J+N ) , IPP , DN < J + N)

30 RETURN $ END

SUBROUTINE TABLIQ

C TABULATE THE ETHANE SATURATEO LIQUID FUNCTIONS.

COMMON/l/GK,AL,BB,BE,GA,DE,EP, DCRT , TCRT ,PCRT ,DGAT , DTRP, TTRP ,PTRP

COMMON/3/ 0P0T,D2PDT2,DPS0T, DP MOT, DPDD, DP CR,DTSOR,OTHDR

COMMON/5/ DDSDT

COMMON/7/ TA,TB,PB,RB, EA,HA,SA, EB,HB,SB

COMMON/8/ IN, IK, P,T,DEN, E,H,S, CV,CP,CSAT, W,WK

COMMON/11/ JT, TR, TF

COMMON/12/ TT,PS,DL, DDLDT, VG,VL,Q, QX,CSX

DIMENSION T5A(<*6>, PSA<<»6>

1 FORMATdHl 13X ^PROPERTIES OF SATURATED LIQUID ETHANE* / ) 2 FORMAT CUtXlHT 10X1HP 5X3H0EN *+X5HV,LIQ 6X5HV,GAS 5X6HDPS/DT

1 4X6HDDL/DT 5X5HOP/DT 6X5H0P/DD 3X5HQ,VAP 2X5HQ,XPT /

2 10X5HDEG F 8X3HPSI 1X7HLB/CUFT 2X7HCUFT/L5 <*X7HCUFT/LB 6X5HPSI/R

3 1X9HLB/CUFT/R 5X5HPSI/R 1X10HPS ICUFT/LB 2X6HBTU/LB 1X6HBTU/LB ) 3 FORMATI5X F10.3, Ell.**, F8.3, F9.6, 2E11.<*, F10.6, F10.3,

1 Ell.it, F8.2, F7.2)

k FORMATd^XlHT 8X1HT 10X1HP 8X1HE 8X1HH 8X1HS 7X2HCV 7X2HCS 7X2HCP

1 6X1HW <*X6HCS,XPT /

2 10X5HDEG F t*X5HDEG R 8X3HPSI 3X6HBTU/LB 3X6HBTU/LB

3 1X8HBTU/LB/R 1X8H8TU/LB/R 1X8HBTU/LB/R 1X8HBTU/LB/R 3X<+HFT/S

k 2X8HBTU/LB/R ) 5 F0RHAT(6X 2F9.3, Ell. 4, 2F9.3, F9.5, 3F9.3, 17, F10.3)

C FOR PAGE ONE OF TABLIQ.

C NOTE, TTRP = -297.0^36 F, TCRT = 89.92^0 F.

10 PRINT 1 $ PRINT 2 $ NP = 39

11 DO 25 J=1,NP $ IF(J.EQ.l) 12,13

12 TT = TTRP S GO TO 17

13 IFU.EQ.NP> 1<*,16

Ik TT = TCRT S DG = DL = DCRT $ DDLDT = 15 VG = VL = 1/OG i GO TO 19

16 FT = -300 + 10*J S TT = (FT-32)/1.8 + 273.15

17 OL = OENLIQF(TT) $ DDLDT = DOSDT

18 OG = DENGASF(TT) $ VG = 1/DG $ VL = 1/OL

19 TSA(J) = TT $ PSA(J) = PS = PSATF(TT)

20 Q = 10Q*TT*DPSDT*(VG-VL> $ QX = QVAPXF(TT)

21 PX = PVTF(TT,OL,l) $ CALL CONSAT

25 PRINT 3, TF,FS, OL,VL,VG, DPSDT,DOLDT, OPDT,DPOD, Q,QX

C FOR PAGE TWO OF TABLIQ.

C USE SATLQTR AT T < TA, USE THRMXL AT T > TA.

30 PRINT 1 $ PRINT k

31 DO kQ J = 1,NP $ TT = T = TSA (J) $ PS = P = PSA(J)

32 CSX = CSATXF(T> $ IF(T.LT.TA) 3<+,35

3k CALL SATLQTR $ GO TO 36

35 CALL THRMXL

36 CALL CONSAT $ IW = W kO PRINT 5, TF,TR,PS, E,H,S, CV,CSAT,CP, IW, CSX

99 RETURN $ END

51
CO

14.5mol/l

TEMPERATURE

Figure 1. Generalized density-temperature phase diagram, showing

paths used for thermal computations.

52
0.2

-

i

1 r t r o ° ° ° ° ° o

0.2-0)

p = -5.0mo\/l O

Douslin [18] J I l_

0.4 -

0.2 - t oi-

<

6

2 -0.2

1—O-T i r i

1 r

/o = 6.0mol/i

Jl I L

° O o O

J I I I tL

2.0

.6 -

1.2

0.8

0.4

i r "i 1 r

p = 9.0mo\/l

J L °.° Q °

300 380 460

T,K

540 620

Figure 2. Deviation plots for densities,

53
0.6

0.4

0.2

1 1 b I

1 1 1 1

- A A

A

A

p = ll.Omo\/l

Douslin[l8]

A Straty [79]

-

1 i 1

1 1 °

1 1 1 1 280 320 360 400 440

240

0. 4~

-

-0.1 212

0.1 -

-0.1

124

260 280 300 320

A

220

A

_i_

228 236

p = l7.0mol/l

.A A

244

I a I

1 1 1 1 r * Aa a A aaaaaa_a/) = 20.0mol/2

132 140

T,K

148 156

Figure 2. Deviation plots for densities, continued.

54
>

>

o

6

O

2

-2

6

4

2

8

6

-

4 -

1

^>=3.3mol/i

Roder[66]

300

1 -u-r I/>=5.9mol/i

- o

—

-

, 1 i

O

o

1

o /o = 9.2mol/i

oo

± ±

310 320

T,K

330

Figure 3. Deviation plots for specific heats.

55
o

o

o o

p=\\.Omo\/l

Roder [66]

300 310 320 330

1

1 I 1 p

1

= l4.0mol/l

>

o

>

<

o

i

o

1

o

o o oo

1 o o o o

1

o_

250 275 300 325

I - u 1 o

1 1 o

q

o

o

° 1 o u

p- l6.9mol/l

I 220 230 240

2 -

T,K

Figure 3. Deviation plots for specific heats, continued.

56
1 1 1

2"5 To

O

-

a> "53

O

CO

O

Tsumura

O

O

O

o -

O

O

O

O

O

O

O

O

o

o

o

1 1

o

o

1 CM

o

CD

CO o

ID o

3

» E

3

Li. .</>

CM

I

o

—I o

ro

O

iO

CM

O

CM

o

in

O - O

o

CM

I % 'M/MV

Figure 4. Deviation plots for speeds of sound.

57
Table 1. Experimental and calculated vapor pressures,

Data sources for this table are

ID Author Reference

A Pal [61]

7 Ziegler [93]

9 Pope [61]

10 Douslin [18]

90 Straty [79]

58
Table 1. Experimental and calculated vapor pressures,

ETHAN! VAPOP PRESSURES, £FP = 1.3 J CD

TTRP = 90.348, TC-T = 325. 35G

PTRP = . 11303426i3c-LH, FC c T,i3AR = 48.714C153

-11 .3899624307 16. e452262676 -7.635*151345

5 .4234431 :36 -l. 3 62 32 71362 .7692492536

ID VnT T,K F,3A C CALCD P.PCT DEL T 7 1.0 1 C. 1 .11123E-Q3 . 11123E-C3 . u j 3 ** • J J 7 i.r-fl 13 9.938 . 74621E-G 1 . 7i+b*6E- . 3 -.: 3<+ ,2,2

7 i. ".: 119.9 89 . 35397Z-0G .35393E-G2 .311 -. CGI

7 1 . G 129.9*7 . 12896Z-G1 . 12893l-,,1 • - CO -.0.2

7 i.eo 139. 9°2 . 33293E-G1 .382631-31 .3 25 -.032

7 l. co 15!,. • G

", J .96739E-31 .9b7<-2Z-<.l .317 - . C 2 9C105 i . : j 1 6 C . G C .21^2 2E+v.G . 21461E* -u .l c 2 -. C26

7 i. go 160 .010 . Z1477E+3': . 2l477S + G,> .3^2 "• ijl «j 90104 1. GG 165. J GO •3G67GE+GG .3*7 i. 0-Z*G0 -.099 .014

90106 1. CO 1 7 . G .42870E+G . .42699E+. ] -..67 • 3 1 3 7 i. :: 17C.G19 . 42949E«-G' .42952Z*2'j - . o 3 6 . G u 1 90107 1..C0 175,0 CO . 58636E+GC •586 841+3 -.081 .313

90108 l.'l? 18C .0CC .7873*2+0 3 . 78 7U 3Z+ JC -.Gil .002

90112 i. CO 1 3 . G C . 787G6E+02 .73743E+G3 -.047 . Go 3 7 1 . IG 13T .0 27 . 73855E+CG . 7d8 64E+G*l -.012 . G G 2 7 1. 00 134. 55C . 1G133E+Q1 .1G134Z+C1 -.013 . 3 9010 9 l.?C 185. G

: : . IG 38+E+G1 .10392E+G1 • u 13 - . G G 5 9011C 1 • U \J 19C . G£ . 13463E+G 1 .13472E+G1 -.-65 .013

9011^ l . : c 19. .o,:c .13472E+01 .13472-+l1 U v C - f 'j 1 9G111 1.30 195<flC3 . 1722lE*0l .17227E+G1 -. 177 .023

9G111 J. • V *. 1-95.-3 oi= . 17Z26E+ j1 . 17227E + G1 - . u 8 .002

9 i. :a 198.181 . 19999E+Q1 .2ggg *z+oi -.326 . GG6

90113 1.13 2 .0 -c . o : G . 2i72 6E*-01 .21738E+-1 - . j 5 4 .312

90113 i.f.C 2 0.3 ' G . 21732E+G1 .21733E+L-1 -.C26 » u 6 9C114 20 5. Uu . 27G93E+01 .27C Q5-+C1 -.008 . G 2 90114 i . : 2 20 5.0 GO .271CGE«-G1 .27C95E+31 . 3 18 -.GG4

9GAG7 1. GO 2 1 L- . •_• -j C- . 33413E+G1 .33395E+.1 .3 53 -.,13

904G3 1. " j 2 1L • GG . 3341 7E«-Q1 . 33395c+21 .3 65 -. 016

90115 1.00 2 1 C . C G . 33398E+21 .33395-+01 .338 -.222

9C115 1. V

21G.GGC .33399E+01 , 333 9 5E + C-1 .011 -.003

4 l. :g 21C.3C2 . 3972&E+31 . 39646E+01 .233 - . j 53

90116 1. 2 1 5 . G C . 4Q734E+11 .40737Z+G1 - . l 3 3 .03 2 90117 i . :• ? 22G.0C-L . t9216E+Gl .49222E+G1 -..12 t v o O 4 1.0 224. 1C2 . 57il*+E + 01 .57110E+C1 .038 -.002

90118 1. GO 225.020 . 53973E+01 .5S954E+G1 ..32 -.-19

4 i . ; o 229.756 .6 947 6c*- -31 .69465Z+G1 .319 - . G G 5 90119 1. jC 23C.G1C . 7GC48E+G 1 . 7GGo9Z+Cl .013 - • G - *

DPS/OT

. 23541E-04

. I28C5E-03

. 3>3.43E-03

. 1524Ci-C£

. 38311 E-Q

. 82373E-G2

. 15907E-Q1

. 15916E-31

.Z1239G-G1

. 27761+E-G1

. 27791E-01

. 356^5L-«1

. 44681E-01

. 44881E-G1

. 4i+935E-01

. 54661E-G1

. 557G1E-C1

. 6S163E-0

• 68163 E-Gl

. t2357E-0l

. 82357E-01

. 92325I-G1

. 98364E-G1

. 98364E-01

. 11 625E +G G

. 11625E+00

. 136G9E + -2SG

. 13 oo 9£ +-3 C

• 136.9E«-J3

. 136G9E + Q0

. 15 475E+0G

. I5793^f JG

. 18182E+-3C

. 20 298E + 00

. c'. 731E+ j.

.23^+53c + J0

. 23595E+ jo

59
Table 1. Continued,

10 WT T,K

k i • u 23U.553

9 1. '"3 23<+.6°2

9C12Q 1. "0 235. 3 L C 1C 1 • £ - 238. IOC

9 i. .

238.771

* i. CO 239. 3^

9G121 1.0 240 .GOG

h 1. CO 2hC . 51^

11 i. '. 2<*3.15P

k i. go 2*3.3 59

90 12 2 x . .' 2+5.G..L

90126 1 . j „ 2*5.0 "0

<+ 2*6.81*

k 1.0 2*7.816

1C i.ce 2*8.15u

k 1. Gu 2*9.7^1

9C123 a. • 2 5i_ • G G 90<+G3 1. '0 25C . 390

9C*0^ 1 • J J 250 .5GG

90^05 1 . 2 5 C . G : k 1. G 250.1*6

<+ X . ~ -J 251.587

< 1. GO 252. 5**

1C i.ea 253.150

< 1. GG 254.

n C 9012*+ 1 . f n 255. GO.

i* 1. lO 257.5*3

i: J. • w J 258. 15G

90125 1. CO 2 60.000

i: i. r : 263. 15C

k 1. CG 263.360

9G127 l.lG 265. OLE

i* 1. CO 267.5 3b

10 l.ro 268.15c

9C12S a • . - 27C. jGC

!+ l . c

271-.7*9

9 1. CO 27?. 9*9

1'} l.CG 273.150

9C129 1. ". 3 275.o it 90Z02 X • \. -j 2 75.0CC

<+ 1 . G G 275 .9£2

u 1. CO 276.363

k 1 ... - 276.365

k A. • 276.511+

<+ 1. 3 277.813

13 l.CO 278.150

9C130 i.:o 230.300

F » bA r

. cl*j u£+Jl

. e ieiiL+ci

. 82596E+Q1

. 91291E+ 31

. 9 3 1 6 E + j 1

. 96218E+C1

. 9666GE+G1

. 932<+5E+3 1

• 13 6*6£+0 2

. 1G716E+GZ

. 112**E*G2

. 112*8E+G 2

. 11369E+_2

. 1221GE+Q2

. l2337t + *2

. 12931c+-3Z

. 1306 GE+G

. 13C19E+G2

.13G21E+GZ

. 13G18E>0 2

. 13~69E+3Z

. 1 36^. ic+ Z

. 1399G£«-il2

. 1*217E+C2

. l*682E+02

. 1*95l£+ u Z

. 16335E+G Z

. 16Z97E+32

. 171G3E+3Z

. 1359GE+u2

. 18699Z+G2

. 19*79E+G 2

. 20792E+QZ

.211G3E+u2

. Z 2 8 G E - 2

. 23G68E+G2

.23762E+02

.23o67E +

r, 2

. 2*93lE+G2

. Z*932E+3Z

. 25*9 2E + 2

. 25793E + U 2

. 25786E+02

.25686E+02

.Z6 66 7E + 3Z

.26882E+0-Z

.23C*6E+G2

C4LCD

.8i*15E+Gl

. 31763-1+01

. d2585£+Cl

.9i293E+wi

.930 b2_+Ci

.96239Z+ j1

.957_*Z+Cl

. 982*9E+G1

.1 j6*6£+G2

.1C713:.+ G2

.11251-+CZ

.11251E+C2

.11868ctG2

.12223^+02

. 1233 8E+o2

.12916Z+C2

.13lllE+ ;.Z .13G11E+C2

.13vllZ+u2

.13C11E+G2

. 13Gb6E+ jZ

.1361 u E+c2

. 13983E+G2

.1*219-+C2

.1*675£*£2

. l*96*£+C-2

.16C35E+C2

.16299E+o2

. 1712lE+u2

. 13591E+C2

.137G2E+u2

.19U96-+G2

.2373 7E+0 2 .2113 9E*<S2

.221ul£+G2

.23l 69E+G2

.23751E + 4.2 .23367E+C2

.2*951^+02

.2*951E+v2

.255G5E+02

.25772E+C2

. 257t6Z+w2

.258-65E*-o2

.26663E+C2

.2668GE+<»2

.23C62Z+C2

P.PCT DEL T OPS/OT

-. j19 .00 6 . 26o51E+0C

.052 -.016 . Z6'+35E + .013 - • k .26623E+0Q

.0 01 — . u *j n . 2865«*E+JC

-.0 2* 4 W J . 2906<tE+0fl

-.0 22 .00 7 .2978G.E+OQ

-.0*6 .015 . Z9335E+0Q

-.005 .0G2 . 30 233E + 00

- . G 2 • 001 . 32c5if£ + aa

.0 31 -.010 . 3Z2G2E+00

-.061 .021 . 33371E+30

-.026 .009 . 3337lt*-00

• u 06 -.Oi.2 .34691.E + 00

-.079 .027 . 35it33E + CQ

-.012 .0 04 . 35633E+00

.119 -*Ql*2 .3639<*E + 00

-.033 .u31 .37>.92E + J0

.053 -.020 . 37092E+00

.l73 -. j26 . 67. 92E+GG

.0 50 -.018 . 37092E+00

. u Z 3 -.013 . 372l.5E4-3G

.0 79 -.023 . 3832^E+00

. - 66 - • j Z k . 39: 78c +0

-.011 ,30'i .39561E+GQ

• LkQ -.017 . 4Gi*73£ + J0

-.095 .035 . i+1^56E + aO -.ceo . u G . 43167E+00

-.012 .Hk .^3631E+J0

-.1.7 .QkQ .i+527.E + 0G

-.003 . C u 3 .^8059E+OC

-.015 .006 . <*8267E + OG

-.085 .033 . ^97(+3E + 00

.021 -.009 . 52124E+3Q

- . ,06 .002 .5271GE + 00

-.G93 . 033 . 5^53 'E + flG -.0.5 .0G2 .56237E+0G

.G<*7 -.019 .57^i+3E + 00

• W L 1 - . o : o . 57653E+00

-.080 . C33 . 59561E+00

-.076 .032 . 59561E+00

-.053 . 021 . .60528 E + fl .1.80 -,C3k . 6u995E4-C3

* G02 -.OC1 .61019C+00

.081 -.03^ . 61156Z+30

-.00^ .C02 . 6255GE+00

.5-11 -.005 .62915E+40

-.058 .025 . 6^951E+00

60
Table 1. Continued.

ID WT T,K

90201 1.40 2 SO.CtS

i* 1.03 23l .041

k 1. CO 282.247

10 log 233 .1 C C 4 i. re 284.635

9 1.0-1 284.345

9013! 1. CO 285..Q.0G

k 1 . G 237.653

10 1. CO 238. i5G

4 1.0 J 238. 2o3

90132 i. CO 290. GCG

4 1.G0 29c iOVo

9 l.oa 290.214

k l . : r 292.236

4 1.00 2 93.0 98

10 l.Qo 293.15":

9 l.CQ 293. 2b6

4 l.C 3 296.347

13 i«ca 293. 15C

9C+G1 l.C J 298. 150

90402 1. uC 298. 15C

4 1.00 299.665

9 1. GO 299.863

9C4Q3 1.00 300 .000

k 1.00 30-0.235

4 i.rc 330.447

4 1.00 301.251

10 1.03 302.150

10 1. GO 303. 150

h LCD 303.471

l* 1..CS 303.477

9 l.GQ 334.012

4 l.CG 304.049

10 1.00 304.150

k 1. CO 304.360

4 i.ea 304.446

4 1. CO 304.519

k 1.00 334.734

4 1.30 304.796

k 1.00 34 4- .924

k l.GO 3G%. 980

4 1. 00 305.121

4 l-*~wAr 343-5^_i.3-S 10 l.CO 305.150

4 305.153

143 t.-M 3-5 £.2 50

P,3AR

.28062E+G2

.23C71l+u2

. 2954uE+: 2

. 30171E+G2

. 31174E+0Z

. 51 7 66E+C2

.31443E + G2

. 3 3365 E « 2

. 33752E+ 2

. 33&3ZE. + 1Z

. 35135E+02

. 35147E+G2

. 3 5337E+G2

. 36927E+32

. 37573c -t- 2

• 37651E+G2

. 37761E+G2

.4G287E+G2

. 4139 7E+C2

. 419G9E + o2

.41889E+G2

.43<:19E + 32

. 43455E+02

. 43535E+G2

.43737E + G2

.43381E+G2

• 44 693E + 02

. 45577E+3 2

. 46541E+G2

.46815E+Q2

,46893E+u2

.47393E+1 2

. 4 7 39 GE +-Q 2 .^7526E+32

. 47717E+G2

. 47846E+02

.47828E+32

. 48C59E+3 2

. 43148E+02

. 48-31 6E-*-&2

. **3345E+G 2

. 43484E + 2 „4845 9E+C2

. 43534E+u2

.43515E + G2

.^S635E*02

CALCO

.28b 62E+u2

.2 30 o9E+G2

.2955GE+C2

.30164E+S2

.31195E+ 32

.31343E+C2

.31452- + ..2 .33371E+02

.33741E+G2

. 33825E+a.2

. 3 5142E + 2 .35173Z+02

.353G7E+C2

.368961+32

.37593E+C2

.37633c+C2

. 37727E+02

.4.33G1E+02

.41873E+u2

.41873E+C2

.41873Z+32

.43235E+C2

.43415E+G2

. 43541E+C2

.457292+02

.43943E+..2

.44 7 3 IE + 02

.45553E+G2

.46523-+02

•46855E+-2

.46341E+02

.47371E+Q2

.474] 8E+U2

• 475i.9E+ 4j2

. 4772GE+G2

,478G6c+C2

.4768QE+3-2

.48C93E+32

.48162E+02

.4 32 93E + 32

.4835 31+0 2

. 4 6496E+02

.485lGZ + fc>2 ,^3526E+02

.48529E+^2

.4863G-E+G2

P,PCT

- . o .; 1

- . u 64

-.034

.022

-. u 67

.0 73

-.130

-.019

.0 35

.0 22

-.021

-.075

.0 34

. „63

-.047

. C48

. 90 -.: 37

.057

.C85

. C 37

-.135

. 390

-.013

.018

-.154

-.019

. j52

. 46

- . C 41

.112

.0 48

-.033

.0 35

-.GC5

.082

-.109

-. 81

-.023

.049

-.010

-.025

-.106

.3 17

-.023

.011

DEL T

. 028

. 015

-.009

. j3.

-.332

.013

.0 08

-.016

-. 010

. aio

.0 34

-.033

-.333

.022

-.022

-.042

.017

-.027

-.0 40

-.013

.017

-.043

. 006

-.009

.0 73

. „G9

-.025

-.022

.u2J

-.053

-.323

. G13

-.017

.00 2 -.359

.052

.038

. 013

-.023

.uC5

.012

.050

-.008

.013

-- . O-G 5

OPS/OT

. 64951^+30

. &4997c+0u

. 67494c + $:

. 68 5 39 E +0

. 7C 23SE + JC

. 7G539E + 3G

. 7C72<+ii+GC

. 73 969 E +0

. 74593E+00

. 74735l. + 00

. 76963Z+0C

. 77„15E+CC

. 77242E+Q0

. 79939E+0Q

. bll2<+E + 0C

. 8119bE+00

. 61j57E+00

. 85 812E+Q0

. 68du6c+00

. 886G6E+00

. 08 6 36 E +3

. 91-99E+3

. 91437E+G0

. 91673E+00

. 92029^+00

. 92446- +0u

. 93908E+00

. 95631E+O0

. 97721c+30

. 9S45j E + 00

. 98464^+00

. 99777E+0C

. 99 8 7 3 £ +

. 10-14E+G1

. i-u73E+01

. 10 98 c +31

. 10 1 21 E +01

. 1O191E+01

. 1.213E + 01

. 10263E + 01

. Iu287_+01

. 1G357E+01

, 10365E+01

. 10374E+01

. 103760+01

. 10A49E+01

NP = 130, RHSPCT = .357

61
Table 2. Experimental and calculated saturated liquid densities,

Data sources for this table are

ID Author Reference

5 *

10 Douslin [18]

11 Sliwinski [75]

12 Chui [14]

13 Klosek [45] 14 Rodosevich [67]

16 Tomlinson [85]

20 Haynes [37]

21 McClune [52] 22 Orritt [58]

23 Gugnoni [33]

*Via our vapor-pressure equation, and isochores of Pal [61]

62
Table 2. Experimental and calculated saturated liquid densities,

SATO. LIQUID DENSITIES, F = 333

TTRP = 9C.348, TC^T = 305. 33J, DCRT = 6.8CG, DTRP = 21,66b

.719684561 .231666182 -.£89937306

ID

11

10

11

11

10

11

1C

11

If

16

11

16

11

10

16

11

16

11

16

10

11

16

23

11

16

l

r 10

20

11

20

23

5 1C

20

5 23

5 20

22

2G

5 22

5

2C

5 22

20

5 22

2C

5 3.Z

2C

5

WT

11

11

11

1

11

-01

1

1

1

G1

C

1

1

U

oi

1

1

3

13

ci3

J313

1

3-3

1

7

J1

3

C13

T,K

305. 15C

305.150

334.650

304. 15C

3C4.15C

3 3. 160

303.150

302.160

30 2.15C

302. 160

3 j C . 66j

300 .6o0

296. 17G

2 98.150

298. 17C

2 95.6 70

295. 67o

293,180

293. 180

293 .150

268.190

2 86. 190

283.150

2 83.220

283.200

2 33.150

2 73.150

270. COO

2 63.150

2 D W • J : it 255.372

255.963

253.150

2 50.0t-3

247.962

241.483

240 .7 00

2*0 • 2 32.107

230.000

229.917

225.6^8

222.618

2 2C.LKC

214.942

212.621

2 1 C . u 207.941

2C3.191

2 u C . C 197.888

190 .723

190 .0 00 188.451

MOL/L

7.8,27

7.830

8.397

3.732

8.737

9.190

9.201

9.534

9.544

9.578

9.937

9.980

10.472

1Q.499

10.502

10.899

10.925

11.270

11.290

11.297

11.895

11.909

12.408

12.423

12.434

12.453

13.342

13.549

14.089

14.261

14.473

14.554

14.753

14.890

15.050

15.344

15.455

15.464

15.9C4

15.997

16.037

16.220

1-6.423

16.499

16.754

16.636

16.971

17.125

17.275

17.429

17.529

17.3-19

17.861

17.941

CALCD

7.316

7.316

8.396

8.730

8. 750

9.166

9.192

9.531

9.534

9.531

9.939

9.939

10.468

10.4 72

10 .468

10.399

10 .899

11.266

11.268

11.272

11.393

11.893

12.428

12.423

12.423

12^426

13.315

13.5 62

14.060

14.275

14.576

1^.536

14.715

14.908

15.0 29

15.400

15.4hW

15.483

15.906

16.** 14

16.019

16.232

16.385

16.512

16.754

16.862

16.984

17.078

17.292

17.433

17.526

17.834

17.365

17.930

PCNT

.15

.18

.01

.02

.08

• 2 .10

• CO

.10

.49

-.0 2 .42

.u4

.26

.32

-.00

.25

. -2

.20

.22

.01

.13

-.16

— .00

.09

.24

.20

-.0 9

.20

-.1"

-.71

.11

.26

-.12

.14

-.37

.07

-.12

- • 01

-.11

.11

-.08

.23

-.08

.00

-.16

-.07

.28

-.10

-.02

.02

-•08

-.02

.06

QDS/DT

-1.9053

-1.90 53

-.8050

-.5670

-.5670

-.3375

-.3364

-. 3071

-. 5 065

-.3071

-.2431

-.2431

-.1887

-.1384

-. 1887

-.1585

-.1565

-.13 39

-.1589

-.1387

-.1142

-. 1142

-. 0988

-.C990

-.0990

-."988

-. 0804

-.0764

-. 0694

- . j 6 6 3 -.0634

- • u 6 3 8 -. 0620

-.0651

-. 0590

-.0 5 58

-.0555

-. 0552

-.0521

-.0514

-,o513

-.0500

-.0491

-. 0*84

-.J471

-.0*65

-.0460

-.04 55

- . 4 46

-. 0440

-. 0436

-.0425

-.0*24

-.0422

63
Table 2. Continued.

ID WT T.K MCL/L CA'LC'D PCNT J9S/DT

22 1 132.415 18.165 18.132 -.09 -.0414

20 3 1 5 C . o : Q 18.279 18 .232 -.01 -. 0411

5 c 176.5 12 18.446 18.424 .12 -. 0407

22 1 171.338 18.621 16.533 -.06 -.0401

2C 3 170.300 18.687 16.687 • GO -. 0400

5 C 167.366 13.o23 18.792 .17 -.u397

21 1 173.150 13.565 18.560 . L 3 -.04u3

21 1 16S.15C 18.765 16.76G .02 -. 0398

21 1 163. 15C 18.964 18.958 1 uo -.0393

1Z 1 161,360 19.C27 19.328 -.01 -.0392

22 1 16: .1"; 19.0' 69 19.078 -.C5 -. 0391

21 3 1 6 G . '. C i9.ce& 1Q.032 .02 -. 0391

21 1 158.150 19.158 19.154 • &2 -.0389

5

r. 156.875 19.226 19.20 3 .12 -.0388

21 l 153. 151 19.354 19.347 . u 3 -.C386

20 3 15C.3CS 19.475 19.469 .03 -.03 83

21 1 148.155 19.547 19.539 . 04 -.0 3 82

22 1 146.454 19.591 19.604 -.07 -.G381

21 1 143.150 19.738 19.73*. .04 -.0379

2, 3 14 C . j . 19.857 19.349 .04 -. 0378

21 1 138.150 19.921 19.919 .01 -.0377

2C 3 13 5.0 GO 20

C46 20.037 .05 -.0375

21 1 133.150 20.105 2G.106 -.01 -.0374

22 1 132.767 23.114 20.121 - . 3 -.03 74

13 133.150 23.126 2C.106 .-10 -.0374

20 3 130.Q0G 20.232 20.224 . 04 -.G373

21 1 128.150 20.291 20.293 -.01 -.0372

17 w 127.594 Z^.ZZZ 20.314 .05 -.0372

20 3 125.0 CO 20.419 20.410 . u4 -.0371

21 1 12 3.150 20.476 20 .478 -.01 -.0 3 70

22 1 122.296 23.4^8 2C.51G -.06 -.0370

13 J L 22. 39 2 0.521 20 .520 .0 1 - . j 3 7 u 2i 3 120.000 2 0.602 21.595 .04 -.0 3 69

21 1 118.150 20.662 2C.663 -.-1 -.0 3 69

13 G 116.463 20.717 20.725 -.04 -.0368

12 1 115. 77C 2 0.747 2l;.751 -.02 -.0368

i<» 4i 115. G 50 20.772 21.777 -.03 — . u 3 68

2 3 115.0 00 20.793 20 .779 .06 — » i, 3 6 8 21 1 113. 15Q 20.346 20 .847 -,ul -.0367

22 1 111,491 20.897 21.908 -.05 -.0367

13 j 11C .928 20.915 20 .929 -.07 -. 0367

20 3 1 1 C . 20.975 2C.963 36 -.0367

14 1 lu8.H0 21.G25 21.432 -.0366

12 1 108.150 21.027 21.3 31 -.02 -• 366

21 1 1 8.150 21.028 21.031 -.01 -.0 366

13 105.372 21.105 21.132 -.13 -. G366

2G 3 1 u 5 . ii Q 21.159 21.146 .06 -.0366

21 1 13 3.150 21.2G9 21.213 -.02 -.C365

22 1 132.578 21.230 21. 234 -.u2 -.0365

13 C 99.817 21.298 21.335 -.17 -.0365

14 1 100.G2L 21.313 21.328 -.G7 -.0365

2C 3 100.000 21.341 21.328 .06 -.0365

21 1 98.150 21.388 21.396 -.0 4 -.0365

13 94.261 21.490 21.538 -.22 -.0364

21 1 93.15o 21.563 21.578 -.J5 -.0364

14 1

HP

91.010

--lie. ?WSP

21.639 21.656 - • o 8 -.0364

64
Table 3. Experimental and calculated saturated vapor densities.

ID: (1) Virial/V. P. Eqns . ; (10) Douslin; (11) Sliwinski.

SATURATED \/£PCk DENSITIES, . 35:

TTPP = .3 48 , TC-9T = i: 5. 3i DCRT 6.SC, DGAT = 5153661E"

1.2' 2348669 .1:.f. : 3 5895 .137 1692. 5 -.9 3 : 3179 35 1.3..8756298 -.8C77627V9

IC WT T,K MOL/L CAlOG PC NT 0>US/OT

1 1 9T . 348 . 1518.E-0 5 .1515E-G5 .15 . 333L-0 6

1 1 i : c . o

r

c .1336E-G4 . 13o9E- Ik -.21 .27CE-33

1 1 i i c . a c a .816GE-04 • 3l 7 uE- 4 -.11 .liJE-34

1 1 12...:'. . 3 554E-0 3 .35530-.3 . 04 •473E-Q4

1 1 13: .j ?o .1197E-G2 .1195-0- >.2 .12 . 132q-0 3

A

J. 1 1 4 C • u z . . 330 3E-0 2 ."3299E-C2 .11 .6 17 = -tic, 1 1 15C .CO .78G5E-G2 . 78 '. Jl-02 . 06 . 62 3 E- 3

1 1 .1631£-wl . 16 31 E- 01 . 112E-C2

1

A .3X91E-G1 . 3G92E- 01 -.05 . 185E-0 2

* 1 18C .QC-C . 5 413E-C1 .5417 0-.". 1 -.07 .235E-G2

1 1 1 9 C . . C . 389*E-G1 . 390 3E-G1 -.07 .^17E-02

1 1 2 G C . Q C . 1368E+0G .13 8 3E+C -.05 . 5 86E-0 2

1

i_ 21,0 . 11 .2.75F+01 . 20 76E+C0 -. .2 .7171-3 2

1

1 220.3.0 . 2 999cOi .29992+ JO -.CO .1 J6E-0

1 1 2 3 C • Q G .4216E+GG .4216E+3Q -.00 .139E-01

1 1 2 4 G . J G G .5799E+3C . 58u 3E+v0 -.'.3 .13-0E-O1

10 1 246.15 . 744 9E+GG .7432E+G3 . 23 .222E-ul

1 1 25i. O.L . 7 34 7E + GG . 73 5 3:0+0 j -.1.7 .233E-01

if 1 2 53.150 . 3631£+0l . S&13E+GQ . 16 .253E-G1

1 1 260 • 3 C

. 1G51E+G 1 .10 52E+G1 -. 12 .30hE-j1

IC 1 2o3 • 1 50 . 1153E + :j 1 .11520+01 .10 . 331E-31

4 1 270.3 00 . 140 IE + 01 . 14G3E + G.1 -.12 . 43hE-G1

10 4 273. 150 .1537E+31 . 15362+C

. 4 . 44 6E-Q 1

1 1 2 3 C » u .183 4E+31 .1679 E +01 . 04 . 562E-3 1 1: 1 2 83.15; .2G67E+G1 .20 6 7E+.1 - . J .634E-Q1

li 1 2 8 3 . 2 i. >. . 2 3 69E + 01 . 207GE + G1 -.C3 . 635F-G1

n 1 266. 19<" .2416E + J1 • 242 3E+G1 -.30 .790E-01

1G 1 293.150 . 238 E+ j 1 .2871_+C1 .31 . 1Q4E+0 . 11 1 2 93.180 .2372E+01 .2874E+.1 -.0 9 .134E-+QC

11 1 295. 67C .3154E+G1 . 3156E + C-1 -.06 .1245+0C

10 1 298.150 .35u2E + ?l . 3498^+. 1 . 13 ..154E + !i. 11 1 2^8 .17l .35^lE+01 .35.1E+G1 -. Gl . 15^+E + OC

11 i 3 .660 .3941£ + j1 . 3944E+G1 -.'-9 . 2G3F + . I'- 1 3 :Z.15C .430 7E + 'J1 . 4297E+01 . 24 . 271E+CG

ll 1 3 2 . 1 6 G .4294E+G1 .43 GE+C1 -.12 .272E+G0

10 1 303.150 .46G4E +

-; 1 .46G3E+31 .02 .349E+G0

11 1 3o?.ieo . 46G5E+G 1 .460 6E+ul -..3 .3 5'" E + u . IC 1 3 "4.150 .5035E+Q1 .50 24E+C1 . 21 .52 3E + CK

11 1 30 4.150 . 5 02 lit + 01 . 5&24E+G1 -.0 8 .52oE>0v

11 1 3G4.65Q .5328E+G1 . 5334E+ .1 -. 11 . 748E+0G

11 1

NP

3 5.150

= 41, RMS

.5866E+:i

:pct = .124

. 58 74E+01 -.13 .177E+01

65
Table 4. Experimental and calculated second virial coefficients.

ID: (3) Michels; (6) McGlashan; (10) Douslin

r,Li • 55 2 o/:L -1 . 10624-+ -0.592947 -0.041944 c .000000

10 f ,K t/t: 3* CALL- DIFF l-CNT

6 1-3C .0 00 G.*912 -5. IP 3 'S. 165 0. 002 0.03

b 150 .0 30 0.524 -4.4f 9 -4.437 -0. 001 -0.03

6 170 ,0 30 0.5567 -3.935 -3.933 -0. 002 -0.0*

o HO ,0 30 0.589-* -3.485 -3.*63 -0. 001 -0 .04

6 130 ,000 0.6 2 22 -3.112 -3.112 -0. 001 -0.02

o 2 00 ,0 30 G.C5*3 -2.?0G -2.800 0. 000 0.01

b 210 , 000 G.be77 -2.535 -2.536 0. 001 0.04

6 220 ,030 0.720* -2.30 7 -2.309 0. 002 0.07

D 230 ,030 0.7532 -2.110 -2.111 0. 002 0.09

O 2<+G ,030 u . 765 3 -1.937 -1.939 0. 002 0.10

fa 25G 030 . 1 1 a 7 -1.785 -1.766 0. 002 0.10

o ~~'2b¥, 3 . c51* -1.650 -1.651 0. 001 0.0 8 o 270 ,000 0.6642 -1.529 -1.530 0. 001 0.05

o 2o0 ,030 0. 9163 -1.421 -1.421 3. 000 0.00

b 230 ,030 0.9*97 -1.323 -1.323 -0. 001 -0.06

6 300 ,030 0.962+ -1.235 -1.233 -0. 002 -0.14

3 273 ,150 0. 694 3 -1.4C3 -1.494 0. 002 0.12

10 273 .15 C . 6 9 4 5 - 1 . u 9 8 -1.494 -0. 3 -0.21

3 23c 1 3 ? 0.9763 -1.251 -1.249 -0. 002 -0.14

10 2i( 150 0. 976+ -1.252 -1.249 -9. 003 -0.26

10 303 130 0.9927 -1.209 -1.207 -0. 002 -0.21

J 322 7*5 1. 056 3 -1.058 -1.058 -0. 000 -0.01

10 323 150 1.G582 -1.056 -1.055 -0. 001 -0.14

3 347 632 1. 1365 -0 .698 -0.900 0. 002 . 1

10 3hc ,15 1. 1401 -0.6 96 -0.697 0. 001 0.07

3 372 522 1.2199 -0.769 -0.770 0. 001 0.13

10 373 .150 1.2223 -0.766 -0.767 0. 001 .14

3 3 37 b +4 1. 3023 -0 .659 -0.659 -0. 000 -0.02

10 39fc .150 1 . 3 3 i - . 6. ? 6 -0.657 0. 001 0.23

3 "It 22", 730 1.3642 -C.566 -0.566 0. 00 0.0 2 10 ^23 15 C 1.3657 -0.^63 -0.564 0. 001 0.12

10 4*6. 130 1. 4676 -0.4E3 -0.484 0. 001 0.13

10 473 150 1.5*94 -0.415 . -0.414 -0. 000 -0.09

10 49c 15 1.6313 -0.353 -0.353 -0. 000 -0.07

10 523 150 1.7132 -0.300 -0.299 -0. 001 -0.37

10 5-t 150 1.7 95 J -0.251 -0.251 -0. 001 -0.30

10 5 73 150 1. o763 - . 2 C 8 -0.208 -0. 001 -0.36

10 5 3o .15 1. 9561 -0.166 -0.169 0. 000 0.10

10 6 23 150 2. 040o -0.132 -0.134 0. 001 1.06

NP = 3^, M£ANP( 7 = 0.13 1

66
Table 4. Experimental and calculated second virial coefficients (Continued)

ID: (1) Eucken; (2) Lambert; (4) Hoover; (5) Pope; (8) Gunn; (9) Hamann via Dymond /Smith.

10 7,K I/TO 3* CALC OIFF PCNT

1 23C.00G 0.6549 -3.C53 -2.800 -0.253 -9.03

2 200.000 0.6549 -3.060 -2.800 -0.260 -9.27

b 209.53- 0.b862 -2.^65 -2.547 0.063 2.46

1 210. ODD 0.6877 -2.763 -2.536 -0.227 -8.97

2 210.000 0.6677 "2.763 -2.536 -0.227 -8.97

4

" 215.030 0.7041 -2.296 -2.416 0.123 5.07

1 220.000 0.720-f -2.49<+ -2.309 -0.185 -8.02

2 22C.000 0.720-f -2.526 -2.309 -0.219 -9.48

1 230.030 0.7532 -2.2*+4 -2.111 -0.133 -b.30

2 2 3 0. D J C Q.7532 -2.296 -2.111 -0.187 -8.85

5 236.759 C.7819 -1.935 -1.959 0.024 1.24

1 240.030" 6.7859 -2.056 -1.939 -0.117 -6.03

2 240.000 0.7859 -2.076 -1.939 -0.137 -7.07

4 240. 0]0 0.7859 -1.664 -1.939 0.075 3.88

1 250.030 0.8187 -1.667 -1.766 -0.101 -5.64

2 250.000 0.6187 -1.907 -1.786 -0.121 -6.77

5 254. jQ7 0..6344 -1.700 -1.719 0.019 1.11

1

" 260.~000 0.6514 -1.725 -1.651 -G.07* -4.51

2 2oC.03G 0.651+ -1.752 -1.651 -0.101 -6.14

1 270.000 0.6842 -1.564 -1.530 -0.054 -3.53

2 270. G3C 0.6642 -1.616 -1.530 -0.088 -5.73

4 273.150 0.6945 -1.506 -1.494 -0.011 -0.76

5 273.150 l 69h3 -1.W9 -1.494 0.016 1.06

3 273.230 0.6947 -1.498 -1.494 -0.004 -0.25

1 260. 03C 0.916J -1.442 -1.421 -0.021 -1.50

2 280. 30 0.9169 -1.463 -1.421 -0.062 -4.35

2 290. .,30 0.9497 -1.382 -1.323 -0.059 -4.*7

6 296.230 0.976i -1.260 -1.249 -0.011 -0.89

2 30 0.03 O^S^ -1.281 -1.233 -0.047 -3.85

5 306. G62

~~ 1.G023 ~-i.iei"~ -1.183 0.002 0.13

9 310.940 1.0162 -1.111 -1.144 0.033 2.87

8 323.200 1.056-+ -1.062 -1.054 -0.007 -G.68

9 344. 270 1.1274 -0.913 -0.920 0.006 0.68

9 377.630 1.2365 -G.741 -0.746 0.004 0.60

6 377 .6 30 1^2365 -0.737 -0.746 0.009 1.14

6

" 410.900 1.3456" -6.604 -0.606 0.004 0.67

9 410.9+0 1.3*5;" -G.6C9 -0.608 -0.001 -0.24

9 444.270 1.4549 -0.500 -0.496 -0.004 -0.91

6 444. 33G 1.4553 -0.499 -0.496 -0.003 -0.65

9 477.60G 1.5643 -0.4C4 -0.403 -0.001 -0.27

8 477.630 1.5640 -0. 415 -0.403 -0.013 -3.11

o 510.930 1.6731 ^0.344 -0.325 -0.019 -5.92

9 510.940 1.6732 -0.319 -0.324 0.005 1.53

67
Table 5. Experimental and calculated third virial coefficients.

ID: (7) Chueh; (10) Douslin; (4) Hoover; (5) Pope

217 .800 • 2<+4226 G . 832E 29 0.534875 0.000000

ILJ T,K T/TC^T C* CALCO DIFF

7 210 ,000

. 3

" 0.6677

Q.72J4

-0.241

C.053~

-0.237

0.0 53

-0.004

7 22 0.000

7 230 z .7532 C.239 0.233 0.002

7 2 + 000 0.785 3 0.353 0.352 0.001

7 250 ,0 00 0.6137 0.419 0.421 -0.002

7 260 ,030 .3514 C.454 0.460 -0.005

10 273 130 .89 + 5 C.471

"C . 482

0.480 -0.010

10 2 96 ,150 .976~4 0.471

~ 0.011

10 303 150 0.392 7 0.472 0.465 0.007

10 323 150 1.0532 C.438 0.436 0.003

10 3hc 150 1.1431 0.393 0.395 -0.001

10 373. 150 1.2220 C.351 0.355 -0.004

10 336, 150

,150

1.303b

1.3857

.316

G.284

0.319

0.23 3 -0.003

10 423 -0.00*1

ij 4 46, 150 1 .4676 C.258 0.261 -0.003

10 h7Z 150 1.5434 0.24 0.233 0.002

10 436 15C 1 .6313 C.220 0.218 0.002

10 5 23 .150 1.7132 C .204 0.201 0.003

10 546. 150 1.7950 0.188 0.186 0.002

10 57Z ^150 1.87 5 9 0.175 0.173 0.0 02

10 596, 150 1.9536 0.161 0.162 -0.001

10 623 150 2.040c 0.149 0.151 -0.003

NF = 22, MIAN DIFF = 0. 003

ID T,K T/TC^T C* CALCO DIFF

5 2 09.5 34 C . o 8 o Z -2.667 -0.254 -2.412

4 215. 030 .70+1 -3.230 -0.076 -3.154

o 236.763 .7ol9 C.163 0.341 -0.173

u 2 + 0. 030 .7659 -0.117 0.352 -0.469

5 254.307 .53-44 0.386 0.443

"0.V60

-0.056

5 '2 73.150 0.6 9 4

C.471 -0.010

4 273. 150 0.89+5 C.4o2 0.480 0.002

4 273.150 .89+5 0.517 0.480 0.036

4 2 3b. lli G.97o3 .488 0.471 0.017

5 3 0c. 062 1.0023 0.456 0.461 -0.006

4 322. 746 1 . 0569 C.439 0.436 0.003

4- "3T7T6 52 1.13 3 5 C .390 0.395 -0.006

H 372.522 1.2139 C.350 0.356 -0.006

4 397.6+4 1 .302c 0.318 0.320 -0.002

4 422.730 1.36+2 0.290 0.289 0.001

68
Ph o

CONO \D

cnOCO

ON

H

iH ono O o o o r-i O O

S| 00 NO o

cn

ta p

O o o CO

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Table 7. Coefficients of the equation of state.

OTRP = 21.6800, TTRP = 90.348, PTRP = .113084262E-04

DCRT = 6. 8000, TCRT = 305.330, PCRT = 48. 714015779

AL = 1.00, 98 = 0.00, 3E = 0.00

GA = 0.00, DE = .67, EP = 0.0C

.48752227313 .33138750982 .06854249828

-.43113918548 0.00000000000 .03779460468

OL/L TSAT THETA PSAT B C .5 235.272 218.077 8.331 .512 -.769

l.fl 258.253 243.^03 16.344 .538 -.680

1.5 272.322 260.290 23.393 .564 -.595

2.G 282.069 272.756 29.430 .591 -.515

2.5 289.139 282.245 34.485 .619 -.440

3.0 294.345 289.483 38.613 .647 -.369

3.5 298.166 294.932 41.888 .677 -.304

4.0 300.922 293.923 44.393 .707 -.243

4.5 332.842 301.725 46.220 .737 -.188

5.0 304.103 303.565 47.461 .769 -.137

5.5 304.850 304.346 48.216 .801 -.093

6.0 305.212 305.165 48.591 .334 -.u53

6.5 305.323 305.321 48.707 .867 -.018

7.0 305.329 305.328 48.713 .902 .011

7.5 305.271 305.239 48.fc51 .937 .036

8.0 305.036 304.876 48.408 .973 .055

8.5 304.513 304.059 47.874 1.010 .070

9.0 303.612 3C2.632 46.973 1.047 .080

9.5 302.260 300. 460 45.658 1.085 .086

10.0 300.403 297.430 43.912 1.124 .0 37

10.5 298.000 293.454 41.741 1.164 .085

11.0 295.021 238.460 39.176 1.204 .078

11.5 291.441 282.400 36.265 1.245 .069

12.0 287.243 275.242 33.C69 1.287 .056

12.5 282. nil 266. 975 29.661 1.329 .041

13.0 276.935 257.609 26.123 1.373 .0 24

13.5 270.605 247.178 22.542 1.417 .004

14.0 264.014 235.736 19.010 1.462 -.017

14.5 256.562 223. 3&i* 15.616 1.507 -.039

15.0 248.450 210.164 12.446 1.553 -.061

15.5 239.686 196.263 9.577 1.600 -.084

16.0 230.281 181.308 7.C71 1.648 -.106

16.5 220.258 166.965 4.969 1.697 -.127

17.0 209.643 151.913 3.291 1.746 -.146

17.5 198.472 136.341 2.027 1.796 -.163

18.0 136.788 121. 342 1.142 1.847 -.177

18.5 174.641 107. 4C5 .574 1.898 -.188

19.0 162.085 93.^07 .250 1.950 -.194

19.5 149.179 80.111 .090 2.003 -.195

20.0 135.987 67.b58 .025 2.057 -.190

20.5 122.569 56.16» .005 2.111 -.179

21.0 108.985 45.702 .001 2.166 -.161

21.5 95.293 36.336 .000 2.222 -.134

22.0 81.546 28.086 .000 2.279 -.098

70
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71
Table 9. Interpolated ideal gas functions,

FThANf Tnf-T.1 r,AS F Uh TTT CMS, JQI'l FS .M0'_ c 1 , i<R VT ^ S

T ,k P 7 H7 57 . CM

rp7

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72
Table 10. Experimental and calculated heats of vaporization.

ID: (10) Douslin; (11) Wiebe; (13) Riedel via Furtado;

(20) Furtado.

.12857784E»-02 .97520486E*02

,54095302E*01

.looei^bEtos

.33835851E+02

.37933878E+02

ID T.K KJ/MOL CALCD PCNT

10 248.15 11.299 11.235 57

10 253.15 10.92? 10.863 57 10 263.15 10.072 10.039 32 10 273.15 9.073 9.072 01 10 283.15 7.841. 7.877 - 43

10 293.15 6.17C 6.252 -1 32 10 298.15 5.034 5.090 -1 10 10 302.15 3. 671 3.710 - 90

10 303.15 3.207 3.210 - 07 10 304.15 2.54? 2.544 16 13 100.00 17.154 17.311 - 91 13 111.11 16.928 17.068 - 82

13 133.33 16.455 16.493 - 23 13 155.56 15.853 15.797 35 13 166.67 15. 48 15.403 50

13 180.00 14.957 14.886 48

12 184. 10 14.70t 14.716 - 07 13 181.. 11 14.802 14.716 59 13- 190.00 14.526 14.464 43

13 200.00 14.049 14.012 27

13 210.00 13.530 13.524 04 13 220.00 12.999 12.998 .01 13 230.00 12.388 12.425 - 30 13 240.00 11.743 11.797 - 46

13 250.00 11.044 11.100 - 50 13 260.00 10.287 10.312 - .24 13 270.00 9.416 9.396 22 13 280.00 8.353 8.296 .81 13 290.03 6.863 6.835 .42 13 300.00 4.557 4.532 .55

20 100.00 17.544 17.311 1 34 20 111.11 17.117 17.068 .28 20 133.33 16.497 16.493 03 20 155.56 15.761 15.797 - 23 20 166.67 15.351 15.403 - .34

20 180.00 14.832 14.886 - 36

20 18*.. 11 14.677 14.716 - 27

20 190.00 14.422 14.464 - 30 20 2(0.00 13.953 14.012 - .42 20 210.00 13.1.8P 13.524 - .27 20 220.00 12.999 12.998 01 20 230.00 12.434 12.425 .07 20 240.00 11.814 11.797 .15 20 250.00 11.065 11.100 - .31

20 260.00 10.287 10.312 - .24

20 270.00 9.416 9.396 .22

20 280.00 8.249 8.286 - .46

20 290.00 6.863 6.835 .42

20 300.00 4.612 4.532 1 .76 190.00 13.777 14.464 -4 .75 195.00 13.635 14.242 -4 26 200.00 13.501 14.012 -3 .64 205.00 13.338 13.772 -3 .16 210.00 13.179 13.524 -2 .56 215.00 12.999 13.266 -2 .02 220.00 12.806 12.998 -1 .47 225.00 12.584 12.717 -1 .05 230.00 12.362 12.425 - .50 235.00 12.111 12.119 - .06 240.00 11.844 11.797 .39 245.00 11.551 11.458 .81 250.00 11.233 11.100 1 • 19 255.00 10.881 10.719 1 .51 260.00 10.492 10.312 1 .75 265.00 10.036 9.873 1 .65 270.00 9.584 9.396 2 .00 275.00 9.002 8.872 1 .47 280.00 8.429 8.286 1 .72 285.00 7.700 7.619 1 .06 290.00 6.834 6.835 - .01 295.00 5.779 5.865 -1 .45 300.00 4.294 4.532 -5 .26

NP = 49, RMSPCT = . 56 NP = 72, RMSPCT = 1.41

73
Table 11. Calculated P(p) critical isotherm.

The following page gives a high-resolution examination of the critical

isotherm of ethane as computed by equation of state (5). Column headings

have the following interpretations

D/DC = d/d , density reduced at the critical point.

TS/TC'E T (p)/T , reduced coexistence temperature.

a c PS/PC = P (p)/P , reduced coexistence pressure.

P/PC = P/P , pressure reduced at the critical point.

DP/DR = 3P/3p slope of the critical isotherm, bar.*

The last five columns give the density-dependence of functions used

e equation of stJ liquid triple point

in the equation of state, where R = p = d/d is density reduced at the

DTS/DR E dT (p)/dp, K. DTH/DR = d6(p)/dp, K. DPS/DR E dP (p)/dp, bar.

DXB/DR E 3$(p,T)/3p.

DXC/DR = 3f(p,T)/3p.

*Note: p = d/d , density reduced at the liquid triple-point,

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cnencniT»cncncncncnencncncncncncncncncncncno^cn<ncnocncncn^cno^cncncnc^o^cno^c^<T, cnc^ 0^cncncncno^cncncnc7*cncncncneT»cT, cncncncno^cntTcncnoCncncn rncn(ncncno^cncncncncncnc^

1-» OW'JSC0t?Ortt\jn*lfli0N«0*OHNW^lftiBNc00^OHNWJiniflS*i0<OT<(\|M*iniBN'0 , Or<l\J'<)4in QSfvSS^lX)COCOCOCOCO<OCOCOCOO>(?lPO^O,»0>tT, N l?^OOOOOOOOOaTlrtrtHr4rtHHHH ry(\JWf\jNrj v.. .......................................... ......

a HrtHHHrtf<HtHHrlr(rtTlHWHHHrlHrinH'<

75
Table 12. Experimental and calculated P-p-T data

The following pages compare experimental P-p-T (compressibility) data

with densities and pressures computed by the equation of state (5). The

first column identifies sources of the data (as in Table 6)

ID

2

8

910

16

*

*

Data of Reamer et al. and of Tomlinson were not used for adjusting

the equation of state. Pressure deviations for compressed liquid at low

temperatures are not significant because (8P/3p) is extremely large.

Note : Data of A. K. Pal are identified by ID = 1201 through 2414 in uniform

sequence. Data of Straty and Tsumura begin with ID = 3501. Their

data at densities below 11.0 mol/& have been omitted.

Authors Reference

Virial equation This report

Reamer et al. [64]

Michels et al. [54]

Douslin and Harrison [18]

Tomlinson [85] A. K. Pal, via Pope [61]

Straty et al. [79]

76
Table 12. Experimental and calculated P-p-T data.

EQUATION OF STAT^ VS. P \IJ OaTA

D T,K MOL/L CALCD D,PCT F , 3 A R CALCD P,PCT

? 2 3

r

: . i i. .40 o

r .4301 -. .2 6. 697 5.696 . ,2

2 2<*c.ocq .4GGC .4001 -. „3 7. 373 7.071 . .; 5 2 25.. CCC . 4 o e o ,4uC 2 -.0 5 7.445 7. 442 . 4

2 26C. G r . u : o c . 4 u 2 -.0 6 7. 014 7. 310 .05

2 271. OCG . 4 o c e .4^02 -.,. 6 3. 179 5.175 ..5

2 2 8

r

. C p .40 C . 4 j J 2 - . & S. 543 3.538 .05

2 29 C. 3G0 . ^ o c i • 4 g u 2 - .

' 6 6.904 3. 8 99 .05

2 3 3 : . C .400 3 .4002 -.05 9.264 9.259 .05

2 310. Oil . 4 :• o c . 4 2 •: z -.0 5 9.622 9.617 .05

? 3 2 : • i J c c . 4 u .4: j2 -. 34 3.979 9.975 .04

2 3 3 C . 2 G C . 4 j C .4002 -..4 1 j . 3 3 5 10.331 • 04

2 3 i+ C . 000 . 4 c a o' .4 001 -.03 1 J . & 9 C 1^.636 .03

2 3 5 . 3 . 4 li • • 4 ? 1 -.. 3 11.14 4 1 1 . G 4.03

2 3 6 f. . : £ C .^ j-i. .43J1 -. 12 11. 397 11. 394 . 02

? 3 7 C . u .4003 .4001 -'•02 11. 75'. 11.743 •

ri 2

2 331. GCC .400 j .4001 -.-,2 12. 102 12. 100 .02

2 39C. GCC .4coo .4001 -.,1 12. 4-54 12.452 .01

2 4 ] t: . C C .4GQ£ .430'. -. .1 12.305 12. 8 03 . 31

2 410, .00 . 4 o c o .4CC r -. :i 13.155 13.154 .01

2 42 0.000 ,4C<G • 40 -. .1 13.50 6 13.505 .01

2 43 0. CCG . 4 G .j • 4 3 G — . u U 13. 356 13. 355 • - u 2 44u. 2 C C . 4 L-.-S • 4 j C "1 1 J 14. 205 Ih.205 • - li 2 45o.occ • 'ZCC .4000 -•00 14. 555 14. 554 .00

2 4&C.QQC . 4 G li .4Ci'C -. .0 14. 9C4 14. 9u4 1 J u 2 47C.CGG .4000 .4300 3 • C G 15. 252 15.252 . 00

2 48C .GOG . 4 c o. o . 4 J

'-. ..CO 15.601 15.601 -.00

2 «»9ti. 0-CC . 4 G G .4.^00 j . u 15. 349 15. 94 9 2 5 • 3 C 5 . 4 j G G . 4 j j C -. : 3 16.297 16.297 .00

2 510. CCC .4000 • 430C -.00 16. 645 16. 645 • OO

2 52.. oco . 4

*

r

• 4C0C -.: 16. 993 16.993 • J I 2 53C. 3G,£ . 4 UO G . 4 3 C - . j

'j 17.340 17. 34J • oc

2 54r.cc: .4„C ~

. 4 3

'.- -.00 1 7. 606 17.687 • Uli 2 5 5 L . QGQ • 4 G u .4:0C — ' (1 18. 035 13. 034 .00

2 560. OCC .4.u" .4000 -..-.:• 1 Id. 382 la.381 .01

2 5 7 r. . j :. .4253 • 43 -.£1 13. 729 13. 726 .01

2 5 8 c . a fi .4000 . 4 3 J l -. .. 1 19.. 76 19. .74 .0 1 2 59G.0GC • 4 *] G G • 4 j v -.01 19. 423 19.421 . 1 2 6GC. uGG .43CG .4601 -.-,1 19.769 19. 767 .01

NP = 3"3 , DN^'SPoT .328, PMEANFCT .018

77
Table 12. Continued,

EQUATION OF STATE tfS. PVT OATA

ID T,K MO 1/ L CALCC 0,PCT P,6AF GALCD P,PCT

3 31C.928 3.5245 3.5624 -1. 8 <+8. 263 4fi. 084 .37

9 310.928 4.5.21 4.5926 -2.0 1 51.711 51.498 .41

8 311.926 5.5178 5.6402 -2. 22 53.434 53.233 .28

8 31" .92 6 7.2 69 7 7.2149 .75 55.156 55.223 -.12

8 31,:. 92 8 8.3632 6.1609 2.42 5o.537 56.956 -.74

8 310. 928 8.843C b.7290 1. 35 57.916 58. 301 -.66

8 313.928 9.1394 9.1069 .90 59.295 59.663 -.62

8 - 3 If. .926 9.4447 9.3883 • 60 60. 674 60 .9 94 -.53

8 31T.926 9.6 59 3 9.6131 . 48 62. J53 bl,37Z -.51

8 31C, 928 9.8 42 3 9.8<j1 p

. 42 63.^32 63. 766 -.53

8 310.928 9.9921 9.962 8 .29 64. oil 65.031 -.42

8 310. 92 8 10.1321 10 .1054 .26 66. 19: 66.466 -.42

8 31C. 928 10.2579 1C.233C . 24 67. 569 67. 854 -.42

3 34-4.261 4.9251 4.9622 -.75 75.342 75.553 .38

8 344.261 5.84G7 5.8642 -.40 32.737 82.557 .22

3 3i*k, 261 6.7517 6.7262 . 38 89. 632 89. 649 -.24

8 344.261 7.5579 ' 7.491.1 .90 96.527 97.190 -.69

8 344, 261 8.2237 8.1448 1. 2 103.421 104.403 -.95

8 344. 261 8.7434 8.6913 • 6 110. 316 111. 046 -.66

8 344. 261 9.1754 9.1453 .33 117.211 117.714 -.43

8 3'+'+. 261 9.5 5C4 9.5267 .25 124. 1.6 124.572 -.38

8 344. 261 9.3679 9.8525 .16 131.UG0 131. 353 -.27

8 31':. 92 8 .5889 .5938 -.31 13. 790 13.752 .28

3 344. 261 .5165 .5171 -.12 13.790 13.774 .11

3 377. 594 .462" .4621 -. :4 13.79: 13.734 . .4

3 410.928 .4159 .419C -.v2 lo. 79C 13. 787 .02

3 444.261 .3836 .3838 -. ;2 13. 79: 13. 787 .3 2

8 477.

Q 4 .3 544 .3546 -.0 4 13.790 H.794 .04

8 -5143. 928 .3295 .3297 ~ • *r 3 13.790 13.779 .06

8 31C.928 1.3 46 6 1.3533 -.43 27.579 27.480 .36

8 344. 261 1.1212 1.12 3: -.17 27.579 27.540 .14

3 377.594 .9762 .9766 -.,.4 27.579 27.570 .03

3 i+l rj. 92 8 .8711 .8708 . C 3 27.579 27.536 - . j 2

3 444, 261 .7892 .7392 -.'-1 27.579 27.577 .01

S 477. 594 .7233 .7236 -.0 4 27.579 27.569 .04

8 51?. 928 .6684 .6692 -.12 27.579 27.547 .12

9 31C. 928 2.4961 2.5124 -.65 41. 369 41.225 .35

8 -344„-26i 1.8 56 7 1.8611 -.Z3 41. 369 41.296 .17

3 377. 594 1.5546 1.5562 -. 10 41.369 41.334 .0 8

8 41C. 928 1.3605 1.3599 . C4 41. 369 41. 384 -.04

8 444. 261 1.217 2 1.2175 -.02 41.369 41.360 .02

3 477. 594 1 . 1 u 6 b 1.1072 -.G5 41.369 41. 346 .05

3 510. 926 1.C165 1.Q1S3 -.17 41.369 4 1. 301 .16

8 31 "-.928- 7.2 69 7 7,2149 .75 55.158 55.223 -.12

8 344. 261 2.8Qlo 2.8123 -.33 55.153 55.026 .24

8 377.594 2.213" 2.2172 -.19 55. 153 55.u77 .15

_._8_. 4i£.92-6 -1.8-96-2 1 . &9o

• \j a 55.158 55.160 -•». 3 444. 261 1.6 68 5 1.6693 -.05 55.x58 55.135 .0.4

8 +77.594 1.5 04 1.505 2 -.0 3 55.158 55.117 .07

8 513.928 1.3733 1.3763 -.22 55.156 55.u44' .21

3 3l r .928 13.3736 1G.3488 .24 6i. 94 3 69.26C -.45

8 344. 261 4.C 95 9 4.1267 -.75 66. 94 8 68. 673 .40

78
Table 12. Continued,

QUATIQN CF STATE VS. PVT DATA

T,K HOL/L CALCD 0,PCT P, 3AR CALCQ P,PGT

8 377. 594 2.97o2 2.9783 -.27 6 8.946 63.611 .20

3 41C. 928 2.4626 2.4 64 3 ~ . 8 6 6. 94 8 68.933 ,07

3 li^t. 261 2 . i 42 6 2.1446 -.11 b6, 94 6 6a. 893 • 3 8

3 477. 5°4 1.9142 1.9167 -. ±3 00 . ^4 6 68. 863 .12

<j 513. 92 8 1.7377 1.7424 -.27 63. 946 68.773 .25

3 310.923 1 1 . 2 3 2 C 11.2977 -. 14 86. 134 85.794 .45

3 344. 261 6.3137 6.3 j59 .12 60. 184 86.247 -.07

3 377. 594 4. .65 2 4.0357 -.53 36. 134 65.887 .35

3 4H . 928 3.2573 3.2463 -.28 86. 184 35. 993 .22

3 444. 261 2.7 64 5 2.7732 -.20 5 6.184 36. 032 .16

3 477. 594 2.4431 2.4433 -.21 86. 18 4 86.-16 .19

3 51". 926 2 • 232 6 2.2398 -.3 2 06. 134 65.933 .30

3 31C. 928 11.8116 11. 3662 -.46 13 3. 421 131.47 9 1.68

8 344. 261 8.2237 0. 144 3 1. 1.2 1-03.421 13 4.43 3 -.95

3 377. 59^ 5.2776 5.3 391 -.63 133. 421 10 2. 93

.43

8 41 :. 92 5 4.C686 4.0655 -.42 1C3.421 103. 081 .33

9 444. 261 3.4145 3.4245 -.29 103.421 lij 3. 162 .25

8 477.594 2.9361 2.9951 -. 3>] 133. 421 13 3. 142 .27

3 5 1 j. 92 8 2.6754 2.6354 -,37 133. 421 10 3.361 .35

8 3 If .92 8 12.2182 12.2345 -.54 123.658 117.633 2.51

3 344. 261 9.3676 9.3439 .25 12:. 659 121.1.39 -.36

8 377, 5°4 6.4713 6.4317 -.16 120.658 123.495 .14

8 4-10. 928 4.922: 4.9472 -.51 123.658 123.151 .-42

8 444. 261 4.0731 4. J951 -.42 12:. 658 12,. 222 .36

ft 477. 5

C 4 3.5569 3.55 9 -. 39 120.658 123.228 .36

8 5 1 3 . 92 8 3.1538 3.1653 -,37 12;. 658 12^.245 .34

8 31-3.928 12.5479 12.6193 -,57 137. 395 133.916 2.89

3 344.261 1G.136C ll .1356 . ufl 137. 395 137.935 -.31

3 377.594 7.5147 7.4911, .31 137.395 138.338 -,32

8 41'. 929 5.7575 5.7811 -.41 137.395 137. 391 ,37

3 444. 261 4.7394 4.763? -.52 137.395 137.259 .46

8 477.594 4.L08 4 4.1C73 -.46 137. 395 137.306 .43

8 51?. 928 3.6322 3.6452 -. 36 137.395 137.426 .34

3 31 C. 9212.5333 12.9319 -.53 155. 132 15u.695 2.86

8 344.261 10.6669 1C.,7116 -.42 155.132 153.616 .98

8 377. sc k 8.3 54 3.3304 .23 155.132 155.669 -.35

3 41 C . 92 8 6.5 29 4 6.5476 -.23 155. 132 154. 7ul .28

8 444. 261 5.379b 5.413 7- -.58 155.132 154.264 .55

8 477. 5^4 4.6299 4.6549 -.54 155.132 154.338 .51

ft 510. 92 8 4.1341 4.119 5 -.'3 8 155. 132 154.553 ,37

3 31-" .928 1-3.673 8 13.1466 -.56 172.369 167. .06 5.11

8 344.261 11.0985 11.1630 -.53 172. 369 169.671 1.57

8 377, 594 9.: 25 8 9.3157 .11 172. 369 172.653 -.16

8 410. 928 7.2289 7.2346 -.33 172.369 172.219 .39

3 444. 261 5.9919 6.O20C -.47 172. 369 171.545 .48

8 477.594 5.156C 5.1844 -.55 172.369 171.425 .55

8 513. 92 8 4.5654 4.5839 -.43 172.369 171.637 -.40

8 3 10.928 13.2869 13.3634 -.58 189. o36 133.538 3.52

8 344.261 11.4646 11.5346 -.61 189.606 186.124 1.84

3 3 7 7.594 9.5652 9.5771 -.12 189. 6C6 169.203 .21

3 41C. 928 7.8461 7.8460 . C 3 189. 5u6 189.639 -.00

3 444. 261 6.5583 6.5843 -.39 189.606 183.786 .43

3 4 77.594 5.6566 5.6886 -.57 169. 636 186.483 .59

79
Table 12. Continued,

EQUATION OF STATE VS. PVT DATA

10 T,K MOL/L CALCO D.PCT P, BAR CALCO P,PCT

8 51 G. 92.8 5.0133 5.u329 -.39 189. 606 133. 840 .40

3 31-S. 92 fc 13.4 768 13.5585 -•61 206. 343 199.414 3.59

8 344. 261 11.781. 11. 85o9 -.59 2C6. 343 202. 312 1.95

8 377. 594 10.0 144 10. 0452 -.31 20b. 343 20 5.615 .59

8 410 .92 6 8.3375 8.3 367 . Ol 206. 343 206.367 -.01

5 *+i+i+.261 7.0812 7.1u24 -,3H 206. 343 2 6. 110 .35

8 477. 594 6.1325 6.1639 -. 51 206. 343 205.669 .57

3 510. 923 5.4 44 6 5.4633 -.34 20 6. 343 206. u77 .37

8 310. 92 8 13.816 c< 13.8999 - . 60 241. 315 232.393 3.7C

8 3^tf. 261 12.315 12.3717 -. 46 241. 316 237.154 1.72

8 377. 594 13.7385 1C.7S9C -.47 241.316 233.647 1.11

8 410.923 9.2546 9.2346 -.33 241. 316 2 4 . C 1

.51+

3 444. 261 8...11 "43 6 . u 1 3 9 -.12 241. 316 24. .921 .16

8 477. 59*+ 6.998 9 7.0238 -.36 241.316 240. 251 .44

3 51C. 92 8 6.2432 6.26:7 -.28 241 .316 240. 517 .33

8 3.I.G. 928 14.1021 14.1931 -.65 275.79 264.570 4.0 7

8 344. 261 12.7<+GC 12.7 93 3 -.42 275. 790 271.063 1.71

8 377. 594 11. 3. 4.4 11. 3655 -.54 275. 79. 271.761 1.46

3 MC. 92 8 9.948 3 9.9934 -.45 2 75.79. 273. 361 .88

3 444. 261 8.7521 8.7770 -.23 275. 79u 274.566 .44

8 ^77. 504 7.7541 7.773 c -.26 275. 79u 274.815 .35

3 51 S .92 8 6.9554 6.9730 -.25 275.790 274.893 .33

a 31U.928 14.3527 14.45u9 -. 63 310.264 296.649 4*39

8 344.261 13.0335 13.1468 -.50 310. 264 303.521 2.17

8 377.594 11.768C 11.8354 -.57 310. 264 304.923 1.72

3 41 r.. 92 8 1U.5117 10.5692 -.55 31-. 264 306.520 1.21

3 444. 261 9.3799 9.417: -.40 310. 264 308. C93 .70

3 477. 594 8.4152 8.4275 -.27 310. 264 309. 005 .41

S 513. 92 8 7.5930 7.6-39 -.21 310. 264 309. 356 .29

8 31?. 92 8 14.5677 14.6317 -.78 344.73 8 327.261 5.07

3 344.261 13.3761+ 13.4572 -.60 344.738 335. 259 2.75

8 377.594 12.1604 12.2322 -.59 344.738 33 8.0 99 1.93

3 41C.928 10.9966 11.0507 -.53 344. 738 339.811 1.43

8 4h4. 261 9.9:93 9.96" -.51 344.738 341.312 .99

8 1+77. 59<+ 3.9742 8.9971+ -.26 344.738 343. 240 .i+3

3 510. 928 8.1552 8.177" -.17 34h. 738 543.340 .41

3 310.928 14.9359 15.0 32 8 -.93 413. 685 337. 031 6.44

8 344. 26J 13.8 66 3 13.9751 -.73 413. 685 397. 95S v> . 8

3 377.594 12.8j94 12.8796 -.55 413. 695 405. 351 2.G1

8 41C. 928 11.7577 11. 8243 -.57 413. 685 406. d99 1.62

8 444. 261 1C.782* 10. 8363 -.50 413. 685 40 3. 873 1.16

8 477.594 9.9u49 9.9376 -.33 413. 6S5 410.933 .65

3 510. 928 9.1371 9. 1406 -. C4 413. 685 413. 405 .u7

8 31 :.92 8 15.279. 15.4248 -.95 432.633 452.014 6.34

3 344. 261 14.2991 14.40 2 3 -.73 ^82.633 46<+.707 3.71

5 177. 594 13.312 4 13. 3984 -.6 5 •+32.633 47j. 251 2.57

3 410. 92£ 12.3491 12.4327 -.63 -32. 630" 472.263 2.15

3 444. 261 11.4576 11.5232 -.57 4:32.633 475.331 1.50

8 477.594 10.6337 10.6835 -.47 432. 633 477.553 1.0 5

8 513. 92 8 9.3992 9.9222 -.23 432. 633 480.399 .46

3 31C.928 15.5977 15.7242 -.66 551. 581 519.093 5.89

3 344.261 14.6722 14.7672 -.65 551.581 532.678 3.43

3 37 7. 594 13,7271 13.8326 -. 77 551.581 533. 797 3.22

80
Table 12. Continued.

EQUATION OF STATE VS. PVT DATA

10

38

98

88

98

8

3

9

8

39

88

8

T,K

4 1^.92 8 444. 261

477.594

51 r. 928

31C.92S

31+4. 2cl

377. 5°4

41* .928

444. 261

k77. 594

510. 923

311 .92 8 344. 261

3 7 7. 594

41C.928

444.261

477. 594

51?. 928

MOL/L

12.6373

12.C126

11.2338

,529.

,6659

,9983

, 1 C 2

259j

4801

,7416

11.C763

16.1346

15.2747

14.4380

13.6362

12.6838

12,1848

11.5520

10,

15,

14,

14,

13,

12,

11.

CALCD

12.9346

12.0359

11.2959

12.5735

15.9910

15.0866

14.2067

13.3621

12.562C

11.8135

11.1205

16.2321

15.3712

14.536 r 13.7348

12.9748

12.2611

11.5966

0,PLT

-.76

-.61

-.55

-.39

-.79

-.59

-. 7k

-.78

- . 66

-.61

-.40

- . 6 j -.63

-.68

-.72

-.71

-.63

-.39

P,3AR

551.581

551.581

551.581

551.581

620.52<3

623. 525

620. 52 6 622.528

62C. 52 8 620.528

620.-526

689. <+76 689.476

6o9.476

689. *76

639.476

639.476

689.476

CALCO

537.261

541.332

544.006

546. 796

587.282

60C.729

600 .236

602.966

607. 893

61u.301

614.586

660. 819

665.251

668.093

67o.374

673.486

677.051

682.604

P.PCT

2.6C

1.76

1.37

.87

5.36

3.19

3.26

£.33

2.04

1.65

.96

4.16

3.51

3.10

2.77

2.32

1.80

1.0

NP = 176. DNRMSPCT = .569, PMEANPCT = 1.071

81
Table 12. Continued.

EQUATION OF STATE VS. PVT GATA

10 T,K MOL/L CALCC Q,PCT

Q 273. 15

.8536 .8546 -. 09

9 298. 142 .853d .8543 -. .. 6

9 32 7. 14 . 8 5 3 5 .854. -.02

9 3*6.143 .8538 .8538 • "I • u u 9 37 3. 15

.6538 .3535 .03

9 3 9B.16G .6536 .3533 . 6

9 423. 17C .853S .6533 • 6 9 273.153 1.C672 1. 0686 -.13

9 298. 142 1.0672 1 . C 6 3 C -. i7

9 323. 14G 1.G672 1.0676 -. 3 9 346. 143 1. 5 67Z 1.0672 • Od

9 373.15: 1 . 67 2 1.C666 . 4

9 3 9 8, 16 1 . G 67 2 1.0565 . -7

9 423. 17C 1.G67 2 1.3665 . 07

9 273.150 1.2812 1.2333 -. 17

9 298.142 1.2312 1.2 32 5 -.11

9 323. 140 1.2312 1.2817 -.04

q 348. 143 1.2512 1.2812 -. 00

9 373.15: 1.2S12 1.23*5 . 5

9 396. 16C 1.2-312 1.23C1 .08

9 42 3. 17C 1.2812 1 . 2 8 C i . -9

9 273. 15C 1.4 37C 1.4397 -. 19

9 2 9 6.142 l.^^v 1.4 33 6 -.13

q 3 2 3. 141 1.4670 1.4377 -. ,5

9 34«.143 1.4 37: 1.43 7.' -.0

9 373. 15G 1.4874 1,4362 . y 5 9 398. 160 1.437 1.4355 • ± J 9 42 3. 17 C 1.437*; 1.4355 . 10

9 298.142 1.6 354 1.6376 -.13

9 323. 140 1.6354 1.6365 -.v.6

9 346. 143 1.6354 1.6357 -.02

9 373. 150 1.6354 1.6346 • & 5 9 39 8. 160 1.6354 1.633 9 . 09

9 42 3. 170 1,6354 1.6335 .10

9 298. 142 1.7G32 1.7G58 -.15

9 323. 14C 1.7132 1.7043 -. .7

9 3^e.l43 1.7032 1.7 034 -. 01

9 373. 15C 1.7032 1.7022 .06

9 3 9 8. 16 1.7032 1.7014 . 11

9 423. 170 1.7032 1.7014 .11

9 298.142 1.9165 1. 9199 -. 13

9 323. 140 1.9165 1.9179 -.. 3 9 346.143 1.9165 1.9166 -.0 1

9 37 3.150 1.9165 1.915-2 -y 7

9 39 8. 161.9165 1.9143 . 11

9 42 3.17 1.9165 1.9143 .11

9 2-93.-142-- 1.9 75 4 ... 1.9786 -.16

9 323. 140 1 .975 4 1 .9769 — . L, 8 9 343. 143 1.9754 1.9757 -.0 1 9 373. 15

1.9754 1.9745 ,l5

9 39*. 160 1.975*. 1.9733 .11

9 42 3. 17 C 1.9 75 4 1.9731 .11

15. 37*

17. 97s

20. 036

22. 565

24. J 66

26. .53

23. .31

18. 3.2

q

1 312

24.

2b.

29. 385

31. 933

34. 468

21. 349

24.769

23.067

31. 294

34. 465

37, 599

40 .713

23. *41

27.563

31.50 8 35. 354

3^.125

42. 348

46. 543

29.397

3 3. 530

38.

42.

46.

50.

3 0. 34.

142

3 6:

52 v 647

189

346

39. 371

43.798

48. 161

52.4°l

32. *83

37. 373

43. j93

46. 192

53.214

58.192

33.-63

33. 665

44. 84

49.378

54. 581

59. 738

CALCO

15. 362

17.969

2 C . 3 3 2 22. u6*

2-+. G74

2 6. i 67

25. 046

18. 785

21.527

24.194

26.612

29.396

31.953

34.489

21. 325

24.749

28.057

31.293

34.479

37.b27

4 j. 745

23.415

2 7.53 9 31.496

35.353

39.1*3

42.683

46. 534

29.372

3 3. 814

33.137

42.377

46. 558

50.693

3 0.16,

3 4 . o 3 39.363

43. 619

43.205

52.541

32.449

37.854

43. G91

43.217

53.26*

53. 249

33.C31

38. 645

44. C7^» 49.396

54. 629

59.796

P.PGT

,27

.05

.02

.WW

-.03

-.„5

-. 06

.09

. 06

-. w 4

• « D - . 6 .11

.06

. u 3 .00

-.04

-.07

- . ij 6 .11

.09

.04

.00

-.05

-.0 8 -.0 9

.09

.05

.: l -.04

-.08

-.0 9 .10

. 5 .01

-.0 5 -.0 9 -.id

.11

.j5

.CI

-.05

-.09

-.10

.09

.05

.01

-.04

-.0 9 -.10

82
Table 12. Continued

EQUATION OF STAT- VS. P\IJ DATA

10 T,K MOL/L GALCO 0,PCT P, 3AF CAtCO P,PCT

q 2 Q 5. 142 2.1218 2.1261 -.31 3<+.428 34.390 .11

9 32^. 1*0 2. 121

2.1239 -. 10 4 0. 556 4 0. 5 30 .«7

9 34 c. 143 2.121b 2.122 3 -. l2 4 6. -+70 "6.462 .02

9 3 7 3. 15 1 2.121" 2.1236 .00 52. 238 52.262 -.04

9 39b. lot 2.1213 £.1194 .11 57. 913 57.965 -.09

9 423. 170 2.1215 2.1195 . 11 63.536 63.596 -.09

9 29*. 142 2.3 33 c- 2. 3393 -.33 36.185 36. 141 .11

Q 323. 14C 2.3 33 9 2.3367 -.i2 43. 101 43.069 .07

9 34 n .143 2.3339 2.3349 - • w H 4 9.758 49.744 . <j 3

g 37 3. 15 j 2.5 33 c< 2. 3329 . 05 5b. 240 56. 260 -.34

9 39b. 16C 2.3339 2.3316 . Ij 62. 614 62.665 -.03

q 423. 170 2.3 339 2.3314 .11 65.922 68.985 -.0 9

9 298. 142 2 .4*8

2. Hi 3

-.21 36. 734 36.693 .10

9 323. l«n. 2.4:84 2.4111 -. il 43. 938 43. 933 .07

9 34^.143 2. 4. 34 2.4:93 -. : 4 50.86 2 5..S-+3 .03

9 373. 15

2.4384 2.4074 . 1 4 57.603 57.622 -.33

9 398. 16C 2 . 4 C 8 4 2.4059 . 10 6 4. 22 4 64.278 -.-8

9 423. 17; 2.4*84 2.4056 .il 70. 776 70. 645 -.10

9 2^.142 2.9393 2.9^74 -.27 39.901 3^.662 .10

q 32 3. 140 2.9393 2.9453 -.20 49.22a ^9.176 .11

9 343. 143 2.9393 2.9*26 -. 11 5 3.126 5 6.034 .07

9 373. 15: 2.9 393 2.9396 — M 66. 768 66.763 .01

9 396. 16C 2.9393 2.9377 .05 75.253 75.285 -.04

q 423. 17c 2.9393 2.9372 . ,7 33. 540 83.689 -.06

9 323. 1*0 3.5 32

3. 5955 -. 38 54. 20 4 54. 115 .16

9 343. 143 3.5820 3. 593 4 -.23 65. 647 65.557 .14

9 373. 150 3.552o 3.53 53 -.12 76. 769 76.706 .08

9 39?. 16G 3.5 82: 3.5334 -. . 4 37. 686 37.659 .03

q 423. 170 3.5820 3.5627 -. 3 2 96.461 93.466 .02

9 323.140 4.42-38 4.4551 -.59 58. 974 5 3.851 .21

9 346.143 4.428a 4.4454 -.37 74. 00 1 73. 351 .20

9 373. 15J 4. 4288 4.4389 -.23 88.656 88.52, .15

9 39 8.160 4.4288 4.<+35 c -.16 1 3 . J 9 9 102.973 .12

9 423. 170 4.4288 4.435 ;

. -. 14 117. 4v2 117.266 .12

9 323. 14: 5.4403 5.4572 -.01 62.995 62.935 .10

q 34". 143 5.4 4C3 5.44'3 3 -.15 82.596 82.532 .08

q 37?. 15 5.44C3 5 . 4462 -.11 101.932 13 1.853 .03

9 398. 160 5.4 40 3 5.4458 -.10 121.0 98 120.993 • 8 9 42 3. 170 5.4 4C3 5.4474 -. 13 140.168 140. .04 .12

9 323. 14c 6,6818 6.5782 1. 55. 66. 912 67.283 -.56

9 34 6. 143 6.6 318 6.6276 . 51 9^.790 93.292 -.54

q 373. 15C 6.6818 6.6533 .47 118.77 119.245 — • 4 U 9 3 9 8 . 1 6 n 6.6818 6.6615 . 30 144. 726 145. 145 -.29

9 423. 17.0- 6.6318 6.6713 . 16 170.709 170.995 -.17

9 323. 14; 8.2-24 7.9956 2. 52 72.785 7 3.854 -1.48

q 348. 143 8.2024 8.0975 1. cd 108. 346 109.678 -1.23

9 373.154 3.2-2 4 8.1427 .73 144.605 145. 6Z0 -.84

9 3 a fc. 160 8.2:24 3.1657 .45 181. 105 132.143 -.57

9 423. 17C 8.2:24 8.1779 .33 217.659 218. 5<+7 -.41

NP = 101, UNRNSPCT = .372, P^FANPCT =

83
Table 12. Continued,

EQUATION OF STATE \1S. PVT UATA

ID T,K MOL/i. CALCO D,PCT P -3Ak CALCO P,PCT

10 243. 15C .7 u3 3 .6985 .21 Hi 763 11.782 -.16

13 273. 15G .7503 .75-1 -..2 14i,298 14.296 .31

1C 295. 15C .75'. .7533 -. .4 16, 116 Id. Ill .03

10 303. 153 .7533 .7533 -. .4 16, •+75 16.469 .3 4 10 323.150 .753C .733 2 -,:z 17, 597 17.392 . . 3 10 345. 15C .7533 .7531 -. -2 19, 65t 19.649 . ,1

10 373. 15* .753 : . 75 .

TM • w u 21, 391 21. 390 * u 3 13 39?. 15C .75GC .750C . 31 116 23.117 -.Jl

1C <+23. 15C .753': .749° . .2 24 , i3i 2*. 834 -.32

13 448. 15 .7500 .7499 . 32 26,, 533 26.542 -.32

1C I+73.15G .7533 .7499 • .C2 28,> 239 23.244 -.32

13 495. 15G .7533 . 7499 ..2 29, 934 29. 939 -.. 2 13 523. 150 .753'' .7499 . .1 31 ,627 31.633 -.31

1C 54". 15C .750 3 .7533 .3 3 33,,315 33.316 -.33

10 577.150 .75.? .753 1 ". L 1 35 , j:3 5 4. 99 3 ..1

i: 59*. 15 .753 f .7533 -. 33 36,,689 36.677 3 3 1C 623. 15u ,75-40 .7534 - • - 6 33, 375 3 3.3 53 .36

1C 275. 15C l.QGQC 1.3331 -. 01 17,, 908 17.9D7 .31

13 295. 150 1 • j 3 o u 1 • u 3 3 -.3 2l ,45. 2:. 44.33

13 3

r 3.15G 1 . _ u \, . 1.C333 -..3 4- . , , 946 20.944 .32

10 323. 15C i.oog: i • L J j 1 -..1 cc , 919 22.913 .31

10 34.°. 15 3 1.C003 .9995 . :2 2-3 , 344 25.346 -.31

13 373. 15C 1.3G30 .9996 ..4 Z7 .738 27.747 "•jg

1" 395. 15G l.ro. .9995 . .5 3J,1 i - 9 3 3.123 -.05

10 423. 15G 1 . G 3 G .9994 . 3 6 32 , 462 52.481 - . j 6

13 48. 15 3 1. 3 CG3 .9994 . .6 54 . 332 34. d23 -.36

13 473. 150 1 . rC .9993 .07 37 • 15. 37.153 -.06

13 49 5. 15C 1.0301 .9994 » . O 39 ,45. 39.473 -. .6

13 523. 153 1 . C 3 3 .9995 .C5 41 ,763 41.735 -.0 5 13 54 B

. 150 l . / : j

* .9996 • 04 44 . 371 44. U 3 9 -.04

10 57 3. 15 3 1.3 33C .9997 * 3 3 46 , 375 46.336 -.33

ir 595. 153 1 » V V J C 9999 . .1 48 , 675 48. 67d -..1

10 623. 15C 1.QGG0 1.33C3 -. 33 50 ,952 5. .964 .33

10 273. 15C 1.5:0: 1.4994 . 04 23 . 53. 23.536 -.3 2 10 298,150 1 . 5 3 3 t 1.5009 — . .

27 ,719 27.737 • 04

13 303. 15C 1.5.3c 1 . 5 : : 8 -. .5 2d , 52 5 23.513 . J4

10 323. 15. 1.5300 1 . 5 j 3 Z -. .1 51 ,73 9 31.7G6 . 31

1] 348. 15C 1 . 5 3 3 1.4994 . ,4 3 5 , 592 5 5.63 4 -.03

10 373. 15C 1.5C33 1.4939 . 3 8 3P .^37 39.432 -.06

10 398.15* 1.5333 1.4985 .13 •+3 . 172 <+3.2u3 -.3 3 i-a 42 3.15 3 1 . 5 v. 3 r. 1.4983 . 11 46 , 899 46.945 -.10

10 445. 15G 1 . 5 C r 1.4934 .11 53 1 63 3 5..651 -.10

10 "+73. 15C 1.5C jl 1.4934 .11 54 , 276 54. 33. -.13

1-4} 498. 15

1 . 5 C 3 1.4985 .10 57 .934 5 7.983 -.39

19 52 3. 15 3 1 . 5 L . . 1.4987 . 3 8 6i ,573 61.627 -.0 8 13 548. 150 1.5:00 1.4991 . ".6 65 , 215 65. 251 -.3 6 10 573. 15C 1.5 33" 1.4992 . C 5 6a ,327 68. 861 -.35

13 59 5. 15

1.5G0C 1.4997 . C2 72 . 443 72.459 - . . 2 10 623. 15" 1.5.03 1.5.34 -. .3 76 , .67 76.C47 • : 3 10 29=-. 15C 2.3333 2.0319 -.0 9 33,,289 -3 3* 27 ii .-5

1C 3*3. 15 2 . C

* 2.3:i7 -. -9 3h . *43 34.431 .35

10 323. 153 * f T n C < . L o . 2. 33c5 -.0 2 3b , 97 8 38.972 .32

84
Table 12. Continued

QUATION OF STATE VS. PVT DATA

ID T,K MOL/L CALCO Q,PLT P , 8 A R CALCQ P,PCT

10 34°. 15

2

A

: i c 1.9991 . . 4 44.474 44.433 -.0 3 1C 373. 15- 2 • »i C ii 1. 9933 . »,9 49.35 4 3. 884 ~.J7

10 39H. 150 2.0 I 1.9976 .12 55. 139 55.193 -.1"

1C ^23. 150 2 . 1.9972 . 14 6 u

•

' 3 6 5 60.437 -.12

10 448. 150 2 . C 1.9973 .13 65. 550 65.623 -.12

id 47 7. 150 7 i,;n,' 1.9976 .12 7-. 697 7 0.775 -.11

10 498. 150 2 . !• C C 1.9=177 . 11 75. 30 9 75. 690 -.11

10 523. 150 2 . 1.99 3 .10 3 . 3 9 o 3J.973 -.09

10 548. 150 2 . •: i c o 1.99 3 3 . u9 05. 959 86. u3i -.-8

1C 573.150 2 . ? C 1.9937 . .: 7 91.308 9i. 06b -. 06

10 596. 150 2 . ii C"i! u 1.9994 . 03 96.-54 96.082 -.03

10 623. 150 2 .... l 2.00-5 -.0 2 101. 1C5 101. 081 .02

13 29 c. 150 2 < 5 u 2.5:36 -.14 37.369 37.345 .07

10 30 3.150 2.5000 2.5035 -.14 33. 918 3 3.892 .07

113 323. 15- 2.5000 2.501 c -.0 3 44. 92 8 4h. 90 3 . 05

10 348. 150 2.5,00 2. 1+994 .02 52. 169 52.177 -.02

ia 373.150 2 .5 Oi u 2.4330 . -3 59.233 59.269 -.06

if 39°. 150 2.50 !i 2.4973 .11 66. 177 66.234 -. -9

i: U21. 15 2 . 5 j o

2.496 G . 12 73. 029 73.106 -.10

10 448. 15 r 2 • 5 - u 2.4969 .12 79. 618 73.904 -.11

10 473.150 2 . 5 u C 2.4969 .12 86. 544 36.641 -.11

10 •498. 150 2.51'CC 2.4972 .ii 93. 231 93.329 -.10

IS 523. 150 2 . 5 „ - 2.4 97 8 , w9 99.3-92 99.974 -.0 8 1C 54*. 150 2.500- 2.4985 . 6 106.522 1C6. 584 -• u 6 10 573. 150 2 • 5 v. 2.4991 . 4 113. 120 113.162 -.04

1C 59*. 150 2.5 330 2.4998 .V 1 119. 704 119.712 -.01

10 62 3.15c 2.5000 2.5-15 -. ,6 126. 314 126.237 . - 10 298. 15 3.0000 3. 0-61 -.20 4J. 172 4l. 144 ,Z7

10 30 3.150 3 . o u a 3.0067 -,^2 42. 149 42.113 .09

10 323. 150 3 . O G u 3.0049 -. 16 49. 750 4 9 . 7 8 .0 8 10 346. 15. •5 • U - J l. 3 . j 1

-.0 4 58. 362 58.847 . J3

10 373. 150 3 . G f. 2.9939 . 04 67.732 67.749 - . o 3 10 398. 150 3. r jO; 2.998 . 07 76 . ^5 76.489 -.05

10 423. 150 3.0 00 2.99 7 . 1 85. j39 8 5.103 -.03

10 4-4 8 . 1 5 C 3 . - - 2.9973 . ,9 93.560 93.633 -.03

10 473. 15C 3 . G J 2.9976 . .3 102.00 7 102. 030 -. 07

ID 4 3 P. 150 3.0"0v 2.9979 .07 110. 392 110.465 -.07

10 523.150 3 . £ -C O 2.9985 .05 118.741 118.795 -.0 5 1, 54 P. 15 7 ," ", r 2.9994 ..2 127. ^56 12 7.079 -.02

10 5 7 3. 15 3 . i. 3 . u u 1 -. -0 135. 32° 135.323 1 gU

10 598. 150 3 . o r. c a 3.J013 -. -4 143. 59 4 143.531 .04

ia 623. 150 3.c JOC 3 . G 3 4 -. 11 151. 381 151. 7t6 .12

10 303. 150 3.500- 3.5115 -. 33 44. 346 44.3 6 .09

10 32 3. 15 3.5300 3.5104 *" • W 53. 635 53.564 .13

10 34 8. 15 3.5000 3.5 04 6 -.13 64. 723 64. 673 . ,8

10 57Z. 150 3 . 5 j0 C 3.5012 -. ; 3 75.512 75.494 .02

10 395. 150 3.5000 3.5000 . 86.122 86.122 "« J V 10 42 3. 15 3 . 5 j g c 3.499 . . 3 ^6, 5o6 96.603 -.0 2 10 44 5

. 150 3.5000 3.4992 .02 10d,961 106.932 -.0 2 10 473. 150 3.5000 3.4997 . SI 117.256 117.26b -.01

10 h9°. 150 3 . 5 j C j 3.4999 • 127.471 127.475 — • J 10 52 3.15 3 . 5 ; 3.5^06 -. "2 137. o42 137.62- .-2

10 546. 150 3 . 5 O u 3.5013 -.04 147. 765 14 7.710 .04

85
Table 12. Continued,

QUATION OF STA T ^ V3. PVT DATA

10 T,K •'CL/L CALCG , P G T •r ,'JAF CALC J PtPCT

1J 577, 15. 3.5..'. 3 . 5 1 2 S -. . 6 157, 853 15 7. 75. .07

10 ^°. 150 5 • ?... . 3. 5G3p -. 13 167, ^24 167 ,7*3 4.1 10 623. 15C 3 . 5 C i 7 ,5 ,6' -.17 17 -

i 2 5 177 ,7:6 .18

10 3: 3. 150 4, ,173 -.43 45, 714 4 5

,

679 i" U ID 32 3. 150 4.3 : c

4 .016 6 -.47 5 c , 768 56,, 665 .16

10 348. 15. 4 • l - i.

4 > u 9

-. 23 6 J,, iZZ 69 ,831 • 1 o 1G 373. 15

*+ . C I o

<+ . . j44 " • — ± 82 . 737 3 2 . 675 ..7

10 39^. 15 4 .

;•

, . :. 4 , • r -. .6 95

,

35 3 95, 3,7 .05

1C ^2 3. 15G < . : . g .: 4 .0,17 -. . 4 1l7 .82: 13/ 783 • - 2^ 1G 44°. 150 <+,G Go

u . j g 2

- ... 5 12C ,189 120 . 136 . 04

13 u73. 153 4 . : G G G 4 ..123 - . . 6 132., *fc :. 132,,89., ..5

1-1 k 9 e . 1 5

i+ .... j

'" 4 ,,.27 -..7 144 , q5 t 144 ,560 . 6 13 523. 15C 4 . C v c c t , 335 -. G9 156 ,793 15 o.,65 9 . . 9 13 5<*6. 15G 4

r r _ .: 4 ,UG39 -.10 168 ,86. 163 . 69 v .10

13 57 3. 150 4.3 GOG 4 . 3 4 c - . 12 18.,,897 13 .675 .1?

1C 59 3. 150 4 . -: : i

' 4 , .

". 6 2 -. 16 192 , 92':. lyi .606 .16

is 623. 151 4. . 3 4. i J 9 i -.23 2 3 4,, 991 204,,492 .24

i: 3. 5. 150 4. 5 - C . 4 ,5212 -. -.7 4D , 448 46 ,427 .04

13 323. 15C 4.5G3G 4 .5251 - . ^>6 5 9 . 3j2 5 9 ,138 .19

10 348. 15' 4 . 5 .

•:.

4 .5117 - . 2 o 74 , 6.1 74 . 49 o .14

io 3?Z. 15C 4.5 j . 4 .5064 -.14 89 . 556 3^ ,471 .09

i: 39ft. 15

4 . 5

'• v J 4 .5:4° 1 l: '+ , 316 1 -f ,23: .08

1C 1+23. 15C 4.5 GuO 4 .5343 -. 10 lie .922 118 , 323 .03

i: <+*£. i

c

: 4.5.w 4 .5051 -.11 133 . 43 4 133 ,2 99 • lu

it 47?. 15:: 4.5.3. 4 .5051 -.11 147 , 82 3 147 ,667 .11

ia 498. 150 4 . 5 C o 4 .5.57 - . 1 3 162 . 148 x6i , 9h7 .12

1G 523. 15G 4 • 5 u u G 4 . 5 j 6 3 - . 14 176 , J9 C; 176 , 151 .14

l

r' 5A8. 15C 4 . 5 3 L G 4 . 5 • 6 5 -.14 19

" ,5 71 190 .237 .15

1-0 57.?. 15 4 . 5 , j G 4, 5 7i - • * 6 2.4, 73 6 2*14,,363 .17

10 598. 15

4 . 5 ii C G 4 ,5:86 -. 19 218 , ",37 218 ,38 4 .21

10 623. 15t 4 • 5 J ii L 4 ,511- -.26 25o , 031 232 ,355 .29

10 323. 150 O « o - u .- 5 . 24 1 -.48 61, 39 5 61 , 3 .15

i: 348. 15C 5 . "

3 J

:- 5 3J93 -.10 73, 919 73 , 84 j .10/

13 373. 15

5.0 :o G 5 c 3 -.11 9o

,

,.35 96, ^65 .07

i: 39^. 15. 5.003' 5 .u 353 - . 1

113 ,17 8 113 , l8- .03

13 z*2 3. 15 C 5 . G l r j? c -.11 it:. 076 12 9 ,951 . 1

1-3 44 J

. 15. 5 . r 3 G . 5 .0,65 -. 13 14&, 871 146,, 694 . 12

IS 473. 153 5 . u -.• 5. C- 6 9 -.14 16 3. 555 163, 335 .13

1: 498. 15c 5 . : : : u 5 .0-73 -.15 16C ,155 179., 339 .15

10 52 3. 15 c " - -

- F .0373 -.15 19 o , o67 196,, 364 .15

10 548. 15. 5 . i. u j . 5 .3076 - . j. 5 C ± J * , 119 212., 77 j .16

1C 573. 150 -/ . * , ** -. 5 . Q 8 5 -.17 cc'-i , 5kZ cZ a , 112 .19

10 596. 15C 5 . J . L! . 5 i i;i j " • L U 2 45,, ^51 c.45 ,396 .23

10 62 3, 15ii 5 . C J i.- 5 . G 1 J 6 -.27 2o2., 44>» 261, 626 .31

1C 323. 15: 5.5.0 ». 5 .5.7 9 -.14 6 3 ,18 4 b: ,155 . . 4

i

f; 34°. 15" 5 . 5

4

•: 5 .4983 . , 3 83, ,20 83. 34 -.0 2 10 373. 15C 5. 50^0 5 ,4 993 . .1 1.2 , o35 102,, 645 - . v, 1 10 39 3. 15 5 . 5 C 5 , 5 •] 1 * -.0 3 122, 111 122 ,^79 . . 10 •+2 3. 15 5.5000 s .5T38 -. .7 141 , 4DD 141 ,677 . .'6 15 <+4 8. 15 r 5 . 5 « 3 L 5 ,5-^bZ 16 ., 716 160. 564 . 09

1C 477. 150 5.5.3^ 5 ,5)6. . 1 4 179,, 357 17 9, 657

13 49 8. 15

3? • J J U «j 5 . 5 6 9 -.13 198 ,931 19 a

, 665 .13

10 523. 150 5. 5000 5 ,507t -.1 3 217. 9.1 217,,597 .14

86
Table 12. Continued

•QUATION OF STAT-1 \1S. PVT CAT.

10 T,K MOL/i. CALCD D , P C T F , 3AR 3ALCJ P,PCT

1j j«t - . 1 1> . 5.5 ;o-. 5 . 5 ; 7 1 -.13 2 3o ,3.7 236, <+5^ .15

1C 573. 15

5.5.00 5.53s! -.la 255, 59 3 255, 257 .17

1: 5yfi. 15. 5.5 r 5 . 5 .• 9 5 -. x7 274 , 554 Z7Z , 994 .20

10 o25. 15; 5 . 5 u 5.513^ -.04 293 .33 2 292 ,c74 .29

l a 32.5. 15. 6.3 , o

'. 5 . 9 7 j 4 . 49 64 .792 64 ,89-+ -.16

i: ~4 "

15" 3.9771 . 3 37 , Q49 37, 245 -,IZ

10 77*. i r

' 6 • . ; o v 5.9364 .23 i ; 9 ,215 13 9, 4. j -.17

10 396. 150 6 . ; ;. j o 5.993 8 .10 131,,30 9 131, 42o -.0 9 1C 42 3 • <tf 6 . '. o . 5.997° . . 4 15:5 .294 153 .346 -. .3

i: «+i* 3. 15: b . . J 6.033.8 -.. 1 175, 196 175, 171 .01

1C 47 7

. 153 6 . ;

* o o 6.0027 -. 5 19 7 Ivi. 196 .913 .05

i" i+9« . 15 5.000. 6 . : h 2 -.0 7 21° . 751 216 ,573 .08

12 r 2 3. 15 s.ooo; 6 . 3 34" -.0 7 24

, 359 24 .172 .0 3 i; 548

15" 6 • •. . j .. 6. w.45 -. ' 3 261,,935 26 1

,69 9 .09

1: 57?. • 5 r Oit ju 6.3353 -. ; 9 28 3 , 465 283,, 161 .11

10 59 «. 15; 6 . .; ; u r 6.3 0&9 -.12 304 . ^98 50 4 > 5 b .j .1^

1G 823. 150 6 « i. C i, •. 6. 0111 -.19 326,, o63 32 5 ,9Q0 .23

i

52:. 15". b . 5 . . : 6.413 c 1. 32 66 , 325 66 ,641 -.46

1 3 3^fe. 15' 6 . 5 ; o

6. 4477 . 3 91 ,161 91. 632 -.52

* f. X w 377. 150 6.5000 6.4677 .50 116 , .55 116 ,529 -.41

10 39c. 15. 6.5000 6.431;. . 009 14., 95 6 141 . 349 -.23

11 W3. 15 . 6.5 w b.4837 .17 165 , 3^ lo6 ,093 -.18

10 44". 15 C 6.5,.'. o. 4 93 fc . 09 190 ,5 79 19 0,,779 -.10

10 i*7I, 15. 6.5. " 6.4967 . . 5 215 , 2ob 215 >593 -.06

10 4

Q<i

. 150 6.5-00 6.4987 . 2 2 39 , 386 2 39 .942 -.0 2 13 52 3. 15.. 6 . 5 v 6.499, . . 2 264.,171 264 .425 -.02

10 54 3. 15. 6.5.0. 6 . 5 o 1 - . . 233 , o5l 233 , 345 . 30

10 5 73. 150 6 . 5 -j C , 6. 50.. e -. . 1 31 3 , 036 313 . 201 .31

10 not f 15 6.5000 6 • 5 j 2 7 -.04 337 ,o77 337 . 494 .05

13 623. 15 L 6.5000 6.5066 -.10 ZbZ .215 361 .725 • 1"+ is *23. 15" 7 . .: - u 6.6495 2. a5 67 92 68, 492 -. 34

1C 3"+ ft. 150 7.0.30 6.916 1. 2 3 95 ,315 96,. 33

-.85

1'C 373. 15. 7 . r u 6.943 2 . 74 123 , 367 12-+ .139 -.67

X - H«. 1 c r 7 • o i. 6.96 8 9 .45 151 . 344 152 ..37 -.46

10 '4? 7

150 7 . u •- 6.9794 .29 179

269 179,, 353 -. 16

10 44-'. 15; 7 . t b . 9 « 7

. 13 C w t ,185 207 ,639 -.11

i: 473. 15 M 7 . i :. o i b.99 6 .13 234 . 982 235 , 37 3 -.17

10 4 9 1

15 7.0.00 6.9926 .11 ^62, 69o 263 ,^53 -.14

i: 523. 15- 7 . . . i ; b . 9 3 3 7 . . 9 29 . 33 4 29. ,677 -.12

1": 5i.S 150 7 . ;• . c o 6. 9945 . .3 317 , 90 6 313 ,241 -.11

1J 57 3. 1ST 7 . r « u i 6.9953 . . 7 3h5 , 4-24 34p .743 -.09

10 59?. 15 7 . o ; o o 6.9975 . . 4 57 2 , 994 373,,13 5 -.0 5 r £ ~> T 15" 7." . 0. 7. jv.21 -. 3 4l ,729 4. . .35 3 .04

13 •

'.- i^. *.' • 15 7.500* / « O j c. w 0. o4 o9 , 657 70, 513 -1.19

10 34 = . 150 7 . 5 j .

7.3920 1. 44 10. , 0. 2

. - . ,443 -1.14

l

n 37?. 15 7.5000 7. 433 9 .33 131 , 331 132 ,52 9 -.37

10 3 9 3

15." 7.5,v3< 7.45 9 7 .54 IbO .393 163,. &73 — . 6 . 10 42 3. 150 7.503: 7.4 73 . 36 1°3 ,990 194 , <*.35 -.44

10 44 H

. 150 7.5;'. 7.43<:1 . 24 225 , 3 1 5 225 ,99 - . 30

i: 4

7 3. 150 7.5.00 7.4366 .13 <:56 , 509 25 7 .119 -.24

13 M". 15 7.5030 7.4 592 . 14 237 . 646 283 .2.3 -.20

1 i K? T 1 c 7.5 0. 7.4899 . 13 313 , 64 6 313. 249 -.19

15 5 4 H. 7.5,330 7.49 ..3 3 49 , 5 69 35k,

.234 -.19

87
Table 12. Continued.

QUATION OF STATE MS, PVT DATA

10 T,K *GL/1 CALCD O.FCT p iA^ CALCO P.F

10 57^. 15 7. . 5

0' L j 7.490 5 .13 3 3.. 4 5 4 3 31.15 9 - , 10 323.150 S.u.Oi. 7.7335 2. 71 71, 775 71, 820 -1.

1? 348.150 8.0 . j . 7.3327 1.47 10 5, 75. 107. 154 - i.

15 373. 15

8.0 : o o 7.9306 . 8 7 14 . 417 141. 76-4 - , 12 398. 15. s . o : j o 7.9556 . 54 175, 341 17 6.511 -. 10 42 3. 15 3 . L '0 7.971^ . 36 210, 334 211. 325 - , 1. 448. 15C 8 .

" j j - 7 . 9 3 . 8 . 04 2<+5, 348 24o . 162 -, 10 473. 150 8.0000 7.9 35 9 . 16 23 0, 3 2 8 2 8 j . 9 9 4 -, 10 49 5. 15'" 8 . G C 7.9379 . 15 315 ; 99 3 1 5 . 8 J -, 10 523. 150 e . o o o o 7.9330 . 15 54 1:, 779 o 5 • 5 6 6 -, 10 5^5. 150 3.0000 7.9831 . 15 334, *.7 385.279 -. 13 32 3. 15 . 5 3 . 3.2 9 76 2. 3 3 7-*, 4: 7 75. 61j -1.

11 34°, 150 e . 5 o :o 8.3376 1. 32 112, 147 115. 71 j — 1

10 37 3. 15 3 . 5 o c

«.<+347 ,77 1 - ,763 15 2.213 -. 10 393. 150 8.5000 3.Hbv3 .47 139. 7 . 5 19.' .915 -. 10 42 3. 15 1 8 . 5 „ w i s.^74 2 . j 22 8, 7Zz 229. 73^ -. 10 446. 15 C 8 , 5 G 6 . 4 8 3 6. .19 267 ,o2 3 253.50 o -.

1

- 477. 150 8.5000 8.4388 . 13 3.6 , 85 9 3C7.4?5 -. 10 4 9 c . 15 a.^coo 8.4303 . 13 .5 4 5 ,530 3^6 .55-* la 52 3.15: 8.5.0" 3

4379 .14 33h, 306 3 8 5.186 -. 10 323. 15C 9.0030 3.8295 1. 9 77

,

,356 7^.185 J. • 10 3 4fl. 150 9 . 3 : G i. 3.90 2 6 1. j 8 119 ,857 121.457 -1.

1C 373. 150 9.0.00 6.9tt6 . 62 162 35 7 16^.291 -. 10 3 9 8.15-; 9 . o : o 8.95 36 .35 2

r 6 ,25 3 207. 362 -, 10 423. 15 ? . ' 3.9307 . 21 ^40 , 72 3 250. 534 -. 10 448. 15c 9 . o : o

,

8.93 7 8. . 14 293 ,^26 293. 831 -. 10 47 3. 15 9 . j 3.99 2 4 . 1 3 336 . 726 337, 2u 4 -. 10 49 6.15" 9". C'CGf 8.9907 .1 ) 17 'i . 35. 3 8 1.52

10 323. 15C 9.5v„v 9.3648 1.42 02 ,<+99 o5. 92 3 -1.

10 348. 15 9 . 5 : c

9.4214 .33 129 ,52 5 13.9h5 -1.

10 3 7 3. 15 C 9 . 5 °,4557 . t-6 177 ,20 3 17 5.53 7 -. 10 3 9 3. 15 9 . 5

'

- . , 9.4775 .24 2?5 ,515 22 o. f4 j Id 423. 15! 9.5..: 9.4 3 79 .13 27 3 , 1p7 274.517 -. 10 44". 150 9.5.01 9. 4943 . . 6 322 ,^3 4 3 22. 68 5 -. 10 473. 15. 9.50-0 i

,

4^62 • 4 370 .609 3 7 Q . 6 8 5 -. 1G 323. 150 io. : :gl 9. 3950 1.-4 83 .836 9 . . 3 4

-1.

1 j 345. 15: i c . i. . •: 9.^337 .51 141 l .05 142. 668 TM -i • 10 373. 150 iii . >J V U i. 9. 9 5c

.31 194 ,424 195. 595 -. 10 39*. 150 i o . o o o

9.9367 . 13 248 .207 24 0.653 - . 10 42 3. 15 i o . : o o o 9. 99-* 7 . 5 iOl .9 77 30 2.295

10 443. i5 r 1 n ... o 9. ^954 . 2 35 5 . 715 o55. 32 3 -. 1C o2 7

. 150 1 • 5 J 1..4195 ,77 97 ,-+70 99. 071 -1.

10 348. 151 3 . 5 : o o 10 .<+533 . h 4 15 5 84 157.35 9 -. 1C 37,5. 15 10.5.00 10 .473 . . 21 215 .233 216. 23h -.

X J 396. 150 x J . . . 10 .492 8 . 7 275 , .14 275,432 - . 10 42 3. 15

10.49 9 . : l 334 , 734 534. 804 -. 10 44 5. 15 i

1j.5wGw U.5011 -.01 394 , 346 394.252

lfl 29 J

. 15 11.0 0.. 10.9505 .-5 4o . 397 4 7 . C 1 3 - 1 • 1G 727. 15

' 1 1 . o ; o

- 1C.9 37' .57 ^

' a .2.1 11j . 891 -1.

1C 34.0. 15' 11. l. J 10.9 64 ,:- .02 17* . 420 175. 861 -. 10 37 3. 15. n. c :o

10 .9351 . 13 241 . 596 241. 362 -. 10 3 9 3. 15 11.0. CO 10.9 97 6 . 2 3 o 6 . 98. 307.147 - . 1C 42 3. 150 1 1 . o j a o II.ujI -.. 2 373 .226 373. .71

88
Table 12. Continued.

ElUATIOh OF STATE MS. PjJ DATA

10 T,K *OL/L CalCl, 9 ,FCT p 1 >3 A R CALCu P,PCT

lii 293. 15. * 1 C •" 11. ^i+&3 .+7 5 + , 12c 55 , 131 -1. 96

10 32 3. • c;

" 11.5CC0 11.451' . +5 124,,979 126,,742 -1.41

10 3 + 8. 15: ll..5Gii - 11.4735 .•23 197 , 3C3 199 ,175 -.69

10 372. 15.: 1 1 . 5 ,i C 11.4916 . :7 271 , 474 17 2.,04: -.21

if; 39;. 15f i 1 . 5 J 1 1 .. 5 .; 1 4 -•il .3 + 5 ,236 345,,116 . 03

ID 2 9 S

15: 12.

jGC il. 9+92 . +2 66 ,139 57, 636 -2.26

10 iL Ol 15 12.'. ::0v 11.9638 t ' J 1 + 6 , : 2 2 1 + 7 , 741 -1.13

10 34°. 15: 1 2 . C Q C 11.93-08 .16 227 ,224 22 3 , +74 -.55

10 v 7^. is: 12.0 T^C 11.9959 . 3 3:9 , 16

33 9 ,50 2 -.11

1C 39S. 15c 12.:- j : 12. ] J 5 -. „4 391 , 141 393,,642 .13

13 29 6. 15. 12.5,:: 12.4552 .06 33 , 763 85, 646 -2.24

1C 323. i c : 12.5000 12. +727 . cZ 173 , 516 175 ,207 -.97

1C 34*. 1

C

G 12.5: j: 12 . + 3b c . 1 V 26 + , .63 265 .132 - . + : 1C 373. 150 12.498 9 . . 1 355 , .74 355,,132 -.03

i w 2 9 3

15 1 3 . .: c z : 12. Q 634 . l3 i: 3 , 567 110 ,697 -1.94

in 323. 15 i3.o :c12.977c .1 3 203 ,i6 3 210 ,660 -.37

ic 34 c.. 150 1 3 . J 12.991+ . .. 7 0.: 9 . 376 31. .747 -.23

it 27?". 15: 13.5'-., 13.472 9 . i

1 31 , 5o3 3 , , v 2 -4.49

ic 2?". 15 C 1 3 . 5 Q 13. +71+ . 21 1+2 , 310 144 , 51 3 -1. 55

i: 323. 4. C, '" 13.5t0C 13.. 4 322 1 7 2 5 + ,1 + 6 255 ,952 -.71

l? 34 3. 150 1 3 . 5 c : : 13. +93." . o 5 366 ,39? 367 .17 + -.21

i p 273. 15: 14. . .c

13.975. . 1

62 , 733 64 ,63. -2.94

ic 29 J. 150 lit.C^b 13.9 794 .15 137,,:36 139 ,117 — 1.11

10 7 9V 1 CJ 14.000c 13.9393 . "3 311 , 735 313 , o93 -.44

ic 273. 15: 14.5GCG 1 + . 4 3 3 6 . 13 10 6. 237 103,,131 -1.33

10 29 5. 15 C 14.5000 1+.+37T . .9 2 + 5,, 114 24 6,,306 -.6 3 IC .- i C • 15 r 14 . 5 J C 1 + . +9 + 3 • : + 333 , 6 u 7 33<+, 513 -.24

10 27^. is: 15.: :. ; 14.9351 . 10 164 , 251 166 214 -1.20

1J 29 8. 15 2 1 5 . C C 14.9397 . .7 316,, 56l 320. 25c -.53

10 248. 15'" 15.5 j 0! 15. +93 1 . . 6 67 ,393 63 ,7Zc -1.97

1G 273. 15. 15.5000 15. +922 . .5 2 + j, <47 241, 6 7'7 -.55

IC 29c. 15 15.5..... 15.4389 . .7 + 1. ,257 412, 5cb -.55

10 2kt. 15

15.9915 . .5 1 + + < 65 6 146 ,15 5 -1. ]4

IC 273. 15 C 1 6 . r o u . 15.9951 . .3 336 , 9.3 337 , G 65 -.31

MF = 2

r -

, CiM = K'SPCT = .+32, PHlANPCT — • 31 Q

89
Table 12. Continued.

EQUATION OF STATE VS. PVT OATA

10 T,K HOL/L CALCO 0,PCT P.3AR CALCO P,PCT

16 3C5. 372 3.3208 3.8287 -.21 46. 478 46. 45* .0 5 16 313. 716 3. 8168 3.8332 -.43 50.863 53. 791 . 14

16 322. 039 3.9134 3.8354 -.58 55. 151 55. c23 .23

16 305. 372 5.u020 4.9082 1.68 43. 353 <*8. 425 -.15

16 31C.923 4.9933 4.9871 .23 52.497 52.516 -.04

16 316.483 4.9957 5.&19C -.45 56.535 56.525 .11

16 322,039 4.9927 5. £407 -.96 60.66C 60. 482 .29

16 306.483 6.8281 5.95 3 12.35 49.759 49.951 -.38

16 316.483 6.8211 6.5927 3.35 6Q.i57 6 . 66 7 -.85

16 324.817 6.8151 6.6621 2.25 60.954 69.576 -.9

16 305.372 9.C027 8.702L 3. 34 49.318 4 9. 79 6 -.97

16 309. 261 8. 9980 8.7352 2.92 55. 344 56.112 -1.39

16 313. 7C6 8.9933 8.7382 2.84 62.287 63. 409 -1. 3g

16 322.039 8.9850 8.7994 2. 7 75. 849 77.206 -1.79

16 302.594 9.7413 9.6125 1. 32 46.588 47.052 -1.00

16 305.372 9.7369 9.5774 1.64 51.538 52.289 -1.46

16 313. 7C6 9.7266 9.5614 1.70 66. 379 63.217 -2.30

16 322.039 9.71-8C 9.583C 1. 39 82.751 84.313 -1.39

16 298. 150 10.6*95 10.5927 .53 42.789 43.263 -1.12

16 299. 817 10.6455 10.5655 .75 4o. 347 47. 085 -1.59

16 303.589 13.6392 10.5404 .93 54.639 55.789 -2.01

16 31C.928 10.6289 10.5285 .94 71. 354 72. 349 -2.10

16 322. 039 10.6156 10.5308 .80 97. 113 93.861 -1.8u

16 298. 15: 10.8799 1C.814C . 60 44.350 45.559 -1.58

16 305.372 10.8663 10.7858 .74 61. 929 63.122 -1.93

16 313. 706 10.8553 10.7777 . 72 82. 054 83.55o -1. 33

16 322.039 10.8454 10.7317 .59 102 . 560 13 4.079 -1.48

16 295.928 11.2404 11.1961 . 39 43.933 44.571 -1.45

16 296.483 11.2391 11.1953 .39 45. 388 46. 025 -1.40

16 296. 150 11.2356 11.1934 .40 49.691 50.404 -1.44

16 299.817 11.2325 11.1735 .48 53. 339 54. 787 -1.67

16 3C2. 594 11.2278 11.1735 .48 61. 122 62.116 -1.63

16 31G.928 11.2158 11.1607 .49 3c 916 84.196 -1.54

16 316.483 11.2088 11.1533 .45 97. 630 93.966 -1. 37

16 322.039 11.230 9 11.1623 .34 112. 584 113. 717 -1.01

16 293. 150 11.7729 11.7343 .53 45.485 46. 303 -1.81

16 298.150 11.7626 11.7167 .39 59.984 61.112 -1.88

1€ 306.«*83 11.7496 11.7026 .40 6*. *88 85.902 -1.67

16 314. 261 11.7389 11.6996 .34 137.696 1C9.0 84 -1.29

16 322.039 11.7293 11.6994 .25 131. u83 132.233 -.92

16 288.706 12.3831 12.3533 • 24 47. 188 4 a . 1 3 -1.95

16 29<». 261 12.37Q8 12.3415 ,<Lk 65. 373 66.^13 -1.58

16 298. 150 12.3642 12.3317 • 26 78.3 76 30. 123 -1.58

90
Table 12. Continued.

:quation of state vs. pvt data

10 T,K MOL/L CALCO Q,PCT P,OAR CALCO P.PCT

16 299. 817 12.3615 12.3298 .26 8*. 530 85.787 -1.49

16 3

r 5. 372 12.3528 12.3236 .20 103.59* 10*. 656 -1.03

16 285.372 12.685* 12.6711 .11 46.029 46.556 -1.14

16 292. C39 12.6 70 4 12.6*00 . 2* 69. 382 70.66C -1.8<*

16 298. 15C 12.6596 12.6332 .21 91.562 92.809 -1.36

16 302. 59k 12.6525 12.626* .21 107. 586 103. 898 -1.22

16 31C. 923 12. 6*02 12.620C .16 137. 909 139.052 -.83

16 233. 155 12.9215 12.8989 .17 46.498 47. *<* -2.03

16 285.928 12.91*2 12.890.7 .13 56.951 57.938 -1.82

16 292. 594 12.90G6 12.8760 .19 82. 165 83. 381 -1.48

16 296. 15

12.89G9 12.8709 .16 103.463 10*. 5*7 -1. 05

16 28C. 372 13.1919 13.1795 . 09 *7. 898 *8.*98 -1.25

16 291.483 13.1676 13.153* .11 92.507 93.332 -.89

16 29?. 15G 13.1563 13.1*55 too 119. 5*8 120.233 -.58

16 3T2.594 13.1*90 13.1*35 • u4 137. 757 138.125 -.27

16 285.928 13.<+506 13.4276 .17 85. 350 86.805 -1.70

16 292.339 13.439C 13.4207 . 1* 111.702 112.961 -1.13

16 298. 15C 13.*237 13.4139 .11 137.985 139.03* -.80

NP = 61, ONRHSPCT = 1.966, PMEANPCT = 1.262

91
Table 12. Continued.

EQUATION OF STATE VS. PVT DATA

IU T,K HOL/L CALCO D,POT P.BAR CALCO P,PC

1201 268.613 13.715 3 13. 6942 .15 22. 369 24.0 62 -5.2,

1202 268. 944 13.715C 13.6936 .15 24.394 25.593 -4.9,:

1223 269.313 13.7150 13.6925 .16 26. 037 27.322 -4.9:

1204 26°. 661 13.7143 13,6920 .16 28. 565 2 9.850 -4.5.'

120 5 27C.539 13.7137 13.6907 .17 31.644 32.985 -4.2<

1206 271. 359 13.713C 13.6898 .17 35. 412 36.735 - 3 • 8 i 1207 27?. 788 13.712. 13.688C .18 41.957 43.412 - 3 . 4 1 1208 277. bC5 13.7080 13.633C .13 64. L4 8 65.636 -2.56

1209 281. 789 13. 7 J 44 13.6813 .17 83.378 84.982 -1.92

1210 286. 317 13.7007 13.6739 . 16 104.232 105.845 -1.5E

1211 290. 326 13.6974 13.6772 .15 122.71,1 124.286 -1.2£

1212 296.212 13.6924 13.6757 .12 149. 366 151.270 -.94

1213 3j2.145 13 .6874 13.6732 .10 177.132 178.410 -.72

1214 31.,. 715 13.6604 13.6732 . 07 216. 5G4 217.506 ^.46

1215 319. :93 13.6734 13.6689 .. 3 2 55.0 83 255.564 -.19

1216 33^. 225 13 . 66u 6 13.6605 . u 323. 392 323.929 -.01

1301 256.613 14.5544 14.5335 . 11 19.044 20.362 -6.92

1302 257. 326 14.5537 14.5365 .12 22.901 24.344 — 6 . o G 130 3 257.911 14.553* 14.5355 .12 26.113 27.627 -5.30

130<i 259. 065 14.5524 14.5348 . 12 32.560 34. 071 -4.64

130 5 263. 45 14.5484 14.5312 .12 56. 915 5 3.436 -2.76

1306 268.631 14.5437 14.5261 .12 85.525 87.234 -2.00

1307 273. 496 If .5391 14.5254 .09 112. 695 114.101 -1.25

1308 283. 116 14 . 5 30 4 14.5205 . J 165. 679 16 7.0 13 -.68

13j9 291.28 7 14.5 231 14.5158 . .5 21^.784 211.637 -.43

1313 29 u. 372 14.5168 14.5.19 .03 249. 591 250. 232 -.26

1311 307. 254 14.5l;88 14. 5 u 6 3 .02 297.945 293.297 -.12

1312 31^.529 14.4 97 8 14.49 64 . 01 364. 35 9 364.236 — .06

iWi 249. 192 15 . i. 48 6 15.0239 . 13 2 ..." 2 2 2 2.055 -10.15

1402 25 r. 24,3 15.0476 15.0278 .13 26. 564 28.629 -7.73

l*fQ 3 253.374 15. 44 6 15.0 25 6 . 13 45. 992 4 8.045 -4.47

1404 25^.554 15.C 39 6 15 . 22 3 .12 7 3.726 8 0.725 -2.54

140 5 265.353 15. r 329 15.019! . .9 123. 545 125.082 -1.41

1406 272. Q72 15. u 26

15.0145 . .3 167. .36 163. 610 -.94

1407 2 7 9 . >: 3 5 15. -2.15.010 5 . J 20 4. . 8 u 2 5.510 -.7

1443 2-85. 189 15.414 6 15. 0062 . ',6 241. 489 242.7*6 -.52

1409 294. 84 15.0 .57 15.0 .0 2 . - 4 299 . ^62 30 J . fc4o -.29

141 J 3:4.470 14. Q 967 14.9917 . .3 357. 549 o56. 402 -.24

1411 316. 744 14.9 85 . 14.9917 -.14 -32. 383 431. 143 .29

15G1 241. 24° 15 . 4 54 3 15 . 443

. .7 13.638 14.922 -09.42

1502 2 41.891 15.4536 15. 44 3 2 . .7 1 o . j 2 7 19.291 -7.01

1502 243. 148 15. -+52. 15.442 3 . . 6 2 6. 600 27. 832 -4. 63

1504 2 4 6. 6. i 15.449,. 15.43 7 6 . J 7 49. Q.ZZ 51.275 -2.92

150 5 251.930 15.4 w3 6 15. 4363 . .5 86.273 37.253 -1.15

15C6 257. 18b 15.4 33 6 15.4545 . 3 122. .11 122.6 il -.4 8 1507 261. 745 15.4 34 -7 15.4320 . L.1 152. 813 .5 3. Ill -.20

150 8 267. 2<*2 15.428/ 1 5 . 4 3 . . -.01 1 3 9 . 5 6 . 18^.656 .11

1539 2 7 3 . 8 3 u 15.4223 15. 424 c- -. .2 253. 7 3 3 233.303 .IS

1510 2 82.799 15 .4137 15.4134 -..3 293. .33 292.263 .28

1511 2 9 o . " 2 2 15.1*067 15.4.14 -. . 3 34. . 314 339.433 .26

1512 2 9 8.219 15.398 7 15.4-0 42 -.,4 393.68 2 392.614 .25

1513 30 9. 5 co 15. Zzl -. 15.3933 -• i.4 4oo. 769 465. 624 .2!

92
Table 12. Continued.

QUATION OF STATE VS. PVT DATA

ID T,K HOL/L ;alcd Q,FLT F,3AR CALCO P,Pt

ieoi 23^.294 16.3 362 16.C136 .11 9.,965 12.,5 33 -26.27

1602 233. 8T7 16.0 359 16.0186 . 11 13, 9 73 16, 583 -18.6 3 160 3 232. 572 16.0 33 9 16. Q 18

.10 27 , 84u 3 0, 199 -8.47

1604 234. 160 16.C323 16.ul67 . iu *0, j05 *2, 442 -6.09

1605 235. 255 16. C 31

16.ul61 .09 48. 499 50,. 89* -4.94

1606 242. 791 16.0 23 6 16.0115 . .8 1"6, 582 108, 632 -1.92

1607 249. 1C7 16. (,17. 16.J383 .05 15 5.,0 42 156,,593 "* X • U V 16C8 2 5 4.388 16.0 11. 16. 0035 .05 193 .300 230 ,235 -.71

1609 262. 16* 16.0-37 15.9989 • 3 253 , 80 8 25* ,76u -.36

161C 271.236 15.9943 15.9834 . 4 32;],, 92u 322,,177 -.39

1611 27-=.282 15.9860 15.9315 u3 380 , 442 381 ,454 -.27

1612 286. 940 15.9781 15.9741 . .2 436 ,516 437 , 436 -.21

161-3 294. 543 15.9734 15.9b67 . 3 2 491., 783 492 ,690 -.18

1614 3.1.0 25 15.963 8 15.9557 . .5 537 ,42 539 ,47: -.33

1701 2 3 0. 291 16.4154 16.3313 .21 70,, 1C1 76 ,393 -8.98

1702 237. 3^6 16 . * u7 7 16. 3 77 8 .18 129 , 495 135 .375 -4.54

1703 252. 785 16 . 3 Q l 1 16. 3 65 7 . 15 255 .712 2 61 . 332 -2.2

1704 2 5°. 84 8 16.3 83 c 16.3 53 6 . 15 312 610 313 ,46 5 -i. a 7 1705 2 6 7. 60 2 16.3755 16.3504 . 15 Z7 + , -81 33. .617 -1.64

1706 275. 649 16 .3666 16 . 344 7 .13 433 ,39 8 44* ,57;) -1.29

1707 28 2.466 16.3 59 8 x6. 337 . 14 -92 7 x c 49 3 • 4** -1.2*

173 ^ 2 9^.185 16.3 435 16. 3253 . 14 573 . 74. 582 ,3 33 -1. 15

1631 22". 8„9 16,7476 16,7511 -,:z 57 ,

:(4 2 57 ,129

180 2 22c. ar 2 16 .740 9 16. 7*9C -.05 112 , 02 110 , 8wl 1.5 3 ISC 3 234.917 16.732 3 16 . 7 *40 -.7 135 , 54^ 16l • 84 1.45

18 J* 243. 045 16.7233 J.6. 7365 -,J 257 ,33 3 254 ,x7* 1.25

180 5 250. 885 16.7147 16. 72 9 8 -. ,9 i 2 6 ,185 oZd ,235 ..19

1306 260. 378 1 6 . 7 C 4 4 16.72 3 5 - . 1 j 4 ^ 3 , 363 40 3 ,979 1. : 7 IPC 7 269. 927 16.693 7 16.711* -. 11 49 - ,451 48 5 .191 1.07

is; 8 27 8. 130 1 6 f b

u * 7 16.7025 -. 11 559 , o°3 5 5 4 32 . 9 6 1609 284. 744 16.6 77 b 16.6951 " • — J 615 . 14* 6-9 ,72 3 . 3 8 1810 293.608 16.6681 16.6350 -.10 63 8 ,010 6 8 3 > - 2 . 8

1901 210. 4

r 3 x7.1i94 1 7 .

7 5 7 . cb 5/ , .37 67 . - * I — 1 7 . 6 3 1^02 21 8. 566 17. 1134 17.073. .24 10 7 5 j. 117 ,227 - * . . 1 190 5 2 2 7 .

' 3 4

1 7 * < fl + 7 . j 0,8 : .21 a 3 , j71 195 , 6 5 o --.79

1904 2 3 7 . 7

r 17. : 961 17.3 62 4 .23 2 52 , 9'9 8 26 2 ...52 -3.58

190 5 2 41.77, 17.0 *>7l 17.^5*9 . 19 32 8 .939 o3 3 ,113 - a .7 7 1 Q 6 251. 54^ .7. 76 2 1 7 . 46 4 . 17 -2 ,27 8 -*Z ) ,22 - £. . 1 3 1907 26 0.957 17.0655 17. . 379 . .6 3. 7 , .-8 515 , <52 . -1.73

19J H c '; . * " 6 17. C 569 1 7 . 2 (- . .3 •^74 7 . - 5 84 ,398

19 9 28 G. 494 17.0 43 6 ,.7.015 c- . 16 63j , 3 o?2 ,7 43 -l.*2

2"C1 2.4. 75 6 17.5214 i7. 5222 — . V J 7c 514 7 b ,627 .24

2002 21' .931 17.5141 17.518 9 — • "- w 1*3 , 4114 t , 8 * . 9 3

2 00 3 2 2 0, 3 9 8 17.5022 17. 511

- . 6 25. , 26 j 24 7 , 3 9 1.15

2 : u 4 2 2 7. 5 3 7 17.4045 1 7 . 5 •:. 4 3 - . . 6 51 , 1 3 314 , 9 o

'j . 96

2 5 2 3 5. 167 17.485° 17.4977 - . .7 39 5 , Ji > > J , 5o . J 7 2,.:6 2*2.75 8 17.4769 17.4686 -. . 7 47 3 , .; 4 . — b -j

, - j 1

w CO 2CC7 2* c;. -71 17. ur.cz 17. -PI ^ -. . 7 53 7 , -» 5 c 5 3 3 » 1 5 .' • .. u 2CC8 25L. 389 17.4609 17.4746 -.08 611 » ; w 1 . 6 , . 2/

2 9 263.603 17.4520 1 7 . to5 - • :. 3 6 1> c

5 ^ i* f 7 7 ,0*3 .76

21C1 19 p . 66 r 17.9295 17.323" . 02 12* , 351 -1.10

21C2 2 5.509 17.9209 17. ^l a u. . 1

,

• :> O * - 20 3 , 3o * -.33

zl±s 213.217 17.9115 17, 9114

Q'1

-

-'- , 132 29i , 19j -. -2

C/ <3
Table 12. Continued

:quation of state vs. pvt data

ID T,K MOL/L CaLCl Q,PCT P , BAR CALCu P,PCT

2104 ZZ1 . 733 17.9'22 17.9.40 -. 1 37S( 56 7 575. 756 .24

2105 226. 543 17.8 92 9 17.8971 -.02 -64, 311 462.732 .34

2106 2 3 8. 94 9 17. 8799 17.8 38 3 - • G5 53L ,193 576.679 .57

22C 1 179.691 13.441 d 18.4225 .10 43 417 50 • h -15.17

22 r 2 152.793 16.437b 18.4207 . C9 64, 303 90.736 -7. 05

2203 16 8. 26 3 13.4337 18.4161 . . 3 156 , 732 162. u 3 . -3.41

2204 195. 146 18.4217 ^3.4 091 ..7 245 , 8Q2 250.651 -1.97

2205 201. ?4y 18.4 13-0 18.4.: 22 . : 6 T~ P , 786 3 3 7.107 -1.30

2 2 6 2CS.686 18. k '44 18. 3^50 . .5 418, 212 421.69 -.63

2207 215. 452 13.3957 16.3391 . .4 5u2 , 325 5C 5. 635 -.57

220R 222. OCft 18.3671 13. 3334 . 02 5 -5 — , -27 53 6. 7 7 -.23

2209 227. G3o 18.3 60 6 18 .378 P ., 1 646,, 312 6-7.236 -.14

2210 2~°. 121 13.3731 18.3777 • U U 672 , 368 672.550 -.G3

23C1 16°. 437 16.6214 18.7897 .x7 3. . 514 42 .663 -39.82

23G2 171. £67 18.5194 18.7836 . 16 5-,, 233 66.207 -22.03

2303 ..73.679 13 .8156 18.737J .15 9<: • 2i10 3. 568 -12.32

230 4 177.673 13.6104 16.7631 . 15 149 ,235 16. . 376 -7.-3

23C5 183. 136 18.8 031 18.7764 . 14 226 , .36 237.271 -4.97

2 30 6 186. *44 18.7955 13.769 6 .14 3o5 ,-43 316.632 -3.68

2307 195. 446 18.7865 18.7o3l .12 396 , 336 4J7.335 -2.66

2306 201. 251 16. 7786 13. 75 3 7 .11 476 , 351 436.267 -1.97

23C9 2

n 6. 7 4 13.7715 18.75o6 . 11 55. , 626 56..

j 3 -1.83

2310 212.460 18.763 9 18.7 48 2 . C 8 628 ,513 636. 253 -1.23

2311 217.337 16.7576 18.7*t2C . 8 692 , 335 730 .721 -1.14

2 4 01 15ft. 496 19.2241 19.2:1* . 12 26,, 162 3 5.819 -36.91

24C2 15 a .577 19.2225 19.1995 .12 42 ,827 5 2.902 -23.53

24D3 let. 766 19.2206 19.200: . 11 62 , 33 G 72.u J7 -l-.<+7

24G4 16 3.656 19.21b3 19.1977 .10 10 8 , 664 117.207 -7. 36

2405 167. 1C3 19.2122 19.190 8 .11 161 ,353 l7l.o97 -6.04

24C6 172. 27C 1 9 . 2 :: 4 9 19.1353 • 1 Li 241 , 606 2 5-.. 900 -5.31

2^C7 177. 321 19.1979 19. 1732 .10 318 ,553 323. .34 -3.00

2 4C8 1ft 3. 16 19.1896 19.1726 .v9 4l7 ,622 416.14" -2.*: 9 2409 13*-. 652 19.1319 19. 167

. .8 49.,, 353 493.075 -1.5 7 241* 194. 552 19.1739 19.1614 . - 7 578 , 345 585. 231 -1.16

2411 199. 115 19.1673 19. 159° . o 4 647,,704 651.710 -.62

2412 2C2. 417 19.163. 19.1536 . C5 69- ,537 699.734 -.75

MP = 141 , DHRb SPC .1.7, PMLANFCT 3.683

94
Table 12. Continued.

EQUATION or STAT- tfS. Pv/T OATA

ID T,K MOL/L CALCn 0,PCT P, 5AP CALCO P.PCT

3501 ?9t. ;cc 11.2115 11.18 47 .24 43. 963 44. >i>+2 - • 8 6 3502 3 . • C l 11.1956 11.1537 .57 55. 970 54. 653 -1.27

35C3 3

n 4 . j f; G 11.1727 11.1253 .42 63. 34 3 64. 819 -1.36

3504 3 C

a

. C C 11.1415 11.0 9 33 . 4 3 73.779 74.758 -1. 33

3 53 5 3 1 2 . fl C 11.1157 11. 0717 .40 33. 744 34. 726 -1.17

35u6 3 1 C . QCC 11. C 93 3 11. 0^95 . 5 5 93. 377 94.339 -1.02

3 50 7 32 . ;•:: 11. C 66 7 11.0 52 9 1.4.137 105.035 -.8 6 25C1 29 2. : CC 11.5225 11.5173 . C 4 33. 113 33. 195 -.22

2502 2 9 6. : c r 11.5 052 11.4778 .24 43. 696 49.198 -1.05

2503 3 : c . : r ; 11.4351 11.4553 .26 59.434 60.109 -_.05

2504 3 : 4 . o o o 11.4547 11.4223 . 28 69.98.5 7 j.7 3« - i . G 6

2505 3

: « . c c : 11.4242 11.3883 . 51 ».. 3 51 81. 25l -1.12

2506 312. jui 11.4039 11-3734 .27 91. 114 91.944 -.91

2507 316.000 11.39011.3635 .23 101.982 1U2.771 -.77

2503 32 . ca 11.379° 11. 342b . 53 112.465 113. 66S -1.05

2601 2 8 8 . n 12.1935 1 2 . 1 7 5 C .15 39. 7G6 40.194 -1.23

2602 292.0 00 12.1732 12.149S . 19 52. 158 52. 837 -1.30

260 3 296. GOO 12.1462 12.120

.21 64. 3 89 65.191 -1.25

2604 3 C . G C -J 12.1092 12. 0349 . 20 76.275 77. 039 -1.07

2605 304. :te 12.0 824 12.0 62 2 .17 S3. 474 89.2?0 -.82

2606 30 6. u C 12.0 660 12. U49G .14 100.940 101. 59 5 -.65

2607 312. CCO 12. : 54. 12.0411 .11 113. 574 114.105 -.47

2608 316. cio 12.0 44 2 12. 345 . u a 126. 24C 126.667 -.34

2609 320. CCC 12. C 55 6 12.03.4 . 4 139. 307 139.249 -.17

301 280. 000 12.7373 12.777 . 08 29. 758 3 0.121 -1.22

302 2 8**aa3 12.7631 12.7535 . 11 43. 932 44.539 -1.27

30 3 2 48.100 12.744^ 12.72 8 6 .13 56. j26 5o.692 -1.15

304 292. rc: 12.7J71 12.6911 . 13 71.396 72.0 36 -.97

305 296. oac 12.6722 12.659C . 1 34. 817 85.417 -.71

30 6 3 r C . G c c 12.6519 12.643T . 7 93. 845 99.275 -.43

3C7 3:4.000 12. 6333 12. 6326 . 3 4 113. 336 113. 3b6 -.25

30 3 3-0 8. OCT 12.6275 12*6252 . "2 127.418 127.542 -.10

309 312. 000 12.6133 12.6194 -.01 141. 819 141.752 .05

310 315. 0C0 12.612, 12.6155 -.03 152.629 152.418 .14

311 320-OCfl 12.6.25 12.6097 -•06 17.. 663 170.194 .27

23C1 2 7 6. C"CO 13.2557 13.2441 .'i9 32. 68i+ 33.226 -1.66

2302 23C. GOG 13.2 33 6 13.2222 .09 43. 428 •3.994 -1.17

2303 2 8 4. : r ^ 13.2034 13.1919 . 9 63. 596 64.193 -.94

2304 2 3 b. OCO 13.1593 13.1536 .07 77. 371 73.473 -.64

2305 292. jIO 13.1313 13.1267 .03 93.105 93.363 -.28

2336 29 6. CCO 13.1147 13.1129 . 01 108. 697 10 8. 30 -.09

2307 3 G C . i e 13.1U2 4 13.1C37 -. : l 124.490 124.407 .07

230 3 34£*-5-G& -43 .-442 4- 13. 1^3 7 -.01 124.439 124.407 .07

2309 304. GOG 13. 922 13.0 965 -...3 140. 56 2 140.0 78 .20

2310 3^3.000 13.0333 13. 3902 -.05 156. 258 155.772 .51

2311 312 . G-G-fi- 13.0 75 2 13.0849 -.„7 172.177 171.466 .41

2312 316. SQC 13.0576 13. 0792 -. .9 188. 045 187.151 .48

2313 3 2 C . 3 C C 13.0604 13.0753 -. 11 20 4. j 14 2*2. 317 .59

3601 272. CCG 13.6 69 6 13.6532 . 12 36.257 3 7.2 37 -2.62

3602 27 6.0 00 13.6433 13.6295 .11 53.267 54.147 -1.65

3603 23C*-3£-0- 13.6.44 13*5915 -ia 6-9-195 70*019 -1.19

3604 2 34. GOG 13.5626 13.5537 .07 34. 884 35.471 -.69

95
Table 12. Continued,

EQUATION OF STATE VS. PVT DATA

ID T,K MOL/L CALCD 0,PCT P,BAR CALCO P,PCT

3605 2 6 9 . G l r 13.5399 13.5352 .03 101.65 7 101.976 -.31

36G6 292. 003 13.5252 13.5233 .01 113.771 118.90)8 -.11

3607 2 9 6 . G CI 13.5138 13.5146 -. :i 136. 143 135.976 .05

3603 3 o c . c o13.5040 13.5076 -. .3 153. 377 153.091 .19

3639 304.030 13.4953 13.5J40 -.06 170.942 170.211 .43

3610 30 3.000 13.^972 13.4985 -. 05 188. 310 137.329 .52

3611 312. Oil 13.4796 13.4 93 3 -.10 2 5.666 204.427 .60

3612 316.000 13.4724 13.4334 -.12 223.004 221.499 .67

3613 3 2 C , u 13.4655 13.4337 -. ^4 24. .316 238.542 .74

2201 26P. 000 13.8 93 5 13.8 72 7 ..8 30. 548 31.234 -2.25

2202 272. 000 13.6590 13. 3539 . 06 46. 50 6 49.067 -1.16

22C3 27P. 000 13.6242 13.8172 . 35 65. 457 65.941 -.74

2204 290. 000 13.7775 13.7745 .02 31. 526 81.742 -.27

22C5 29A. 000 13.7513 13.7525 -. .1 98. 840 93.732 .11

2216 2 9 8. o 13.7351 13.7394 -.0 3 lib. 582 116.347 .29

2207 292.000 13.7230 13.7296 -.05 134.683 134.151 .40

2208 2 9 6 . - 13.7129 13.7217 -.06 152.773 152.021 .49

2239 300. ore 13.7039 13.7151 -.3 3 171.906 169. 9 05 .59

2210 304. 03C 13.6956 13.7089 -.10 139. .13 137.733 .65

2211 3 8 . C 13.6879 13.7^3^ -. 11 207. 132 2 5.641 .72

2212 312. 0G0 13.6 50 5 .L3.6982 -.13 225. 240 223.470 .79

2213 316. ... 13.6734 13.6931 -.14 243.313 241.266 .84

2214 3 2 E . a C 13.6666 13.6878 -.16 26^.304 259.027 .67

2431 26U. 000 14.0 347 14. 0773 .05 24.038 24.543 -2.12

240 2 2 6 8.00" 14. 62 3 14. 534 . 6 42. 653 43.293 -1.50

240 3 2^2. 3C0 14.032. 14. 243 . 3 6 60.679 61.255 -.95

24C4 2 7 6. .00 13.9 83 3 13.9786 ..3 77.197 77. 56Q -.47

24C5 280. 000 13.9509 13.9517 -.01 94. d90 94.324 .07

24C6 294. G&O 13.9330 13.9371 -.0 3 113.395 113.0 46 .31

2407 -288. *GG 1 3 . 9 20 1 13.9259 -.0 4 132. J63 131.557 .33

2409 292. jOC 13.9095 13.9173 -. i.6 15 J. 363 150.157 .47

2409 29 6.000 13.9001 13.9102 -,:7 169. 735 163.731 .56

2 413 33 0. GGC 13.6 916 13.9 04 -.09 186.621 187.402 .65

2411 3^"4.c :c 13.3837 13. 3979 -.10 2.7. 454 2 6.004 .70

2412 308.0 30 13.6761 13.6924 -.12 226.296 224. 574 .76

2413 -312.-«C0~ 13.6689 13.8372 -- - -.13 245. 119 243.113 .32

2414 316. 000 13.8619 13. 6321 -. 15 263. 39 261.606 .87

2415 32: . :oc 13.8551 13. 3767 -.16 2o2. 53 9 28 3.060 .99

1031 26'. : :: 1 4. 4 14 14.43 2 7 . : 3 26. 858 27.763 -3.36

1002 2 6 4 . C G 14.3893 14. 3793 . 7 46. 766 47.577 -1.73

100 3 --26 8. uO o- 14.3515 14,3444 . » 5 65. 471 66.0 32 -.53

1034 27 2. GO" 14.3.21 14.2988 . 32 62.942 83. 223 -.35

1Q35 27 6. GO 14,2753 1^.2767 -.0 1 1:2.212 1.2.034 .13

ICO 6 23 0. G 14,2593 14.2636 -..3 122. 137 121.724 .34

1037 284. 00 14.2471 14.253 s -.0 5 142. 261 141.593 .47

10 9 2 8 8.0.0 14.2368 14.2455 -. 6 162. 439 161.536 .56

10 3 9 c 9 2 . G 14.2276 14.2332 -.0 3 152. 640 131.494 .63

1010 2 9 6 . . 14.2191 14.2317 -..9 202. 346 201.433 .69

1C11 3 . C 1^.2il2 14.225 6 - . 1 u 223.016 221.354 .75

11,12 354. JC( 14.2.36 14.2196 -.11 243. 137 241.230 .78

1013 709. 03. 14.1964 14.2140 -. 12 263. 246 261.064 .33

1014 312. 300 14.1393 14.2034 -.13 230. 286 230.848 .86

1015 3i c. CO 14.182 5 14.-2027 -. 14 30 3-. 236 ZmZ.S&Z .37

96
Table 12. Continued.

QUATION OF STATE VS. PVT DATA

10 T,K MOL/L CALOn D,PCT P,3AR CALCO P,PCT

1G16 32C. QCC 14.1755 14.1973 -.15 323. 174 32. .263 .9C

32C1 25?. ;c: 14.3111 14.aG97 . Gl 15. 93G 16. C 56 — . & 1 3202 £ 56. C 14.7934 14.7633 . : 7 7.7. .62 33.C32 - c • 6

3203 26C. OCC 14.7572 14.7518 . 04 57. 39 63.525 -.92

3234 2 6 4 .

'2 C 14.7 r 45 14.7..3. . :i 76. 561 7o.718 -.2

3205 2 6 € . 3 C G 14.6666 14.6727 -. G3 96. 680 96. 2*4 .45

32C& 272.001- 14. 6497 14.6569 -..5 117.297 . 66

3207 276. 3CC 14.6362 14.6457 -.0 7 139. 336 133.751 .77

3208 2 8 C . Q 14.6251 14.6363 -..3 161. 553 160 .355 .30

3209 234.0CC 14.6154 14.6284 -..9 183.557 181. 932 .36

3210 288. 000 14.6366 1^.6215 -. 1 j 205. 476 c*j 3 . 6 3 u .91

3211 292. GCu 14.5983 14.6153 -.12 227. 394 225.136 .97

3212 296. COG 14*5946 14,605 6 -.13 243.761 246. 742 .81

3213 3

r

. 3 : C 14.583C 14 . 6 3 Z 5 -. 13 17-. 331 263. 224 1. :j

3214 30 4. CCC 14.5757 14.5965 -.14 292.629 289.661 i. .1

3215 ^ y O • VLlt 14.5686 14.5906 -.15 314. 261 311.&37 1.03

3216 312. CGC 14.5617 1^.5347 -.16 335. 324 . 332.352 x . : 3 2iai 248.30 3 15.L78C 15.G764 . ;i 17. 580 17.553 -. ^9

2102 252. COC 15.155 5 15.C4SC . -5 39. 746 4. .560 -2. .5

210 3 256. SOQ 15 . G 16 : 15. 0159 .CI 61. 397 61.624 -.37

2104 26C.0&C 14 . 9 62 5 14.9655 -..2 8 . . o3 7 84.331- ,3 8 2105 264. JwO 14.9313 14.9395 -. 35 1-2. 294 131. 342 .93

2106 26 P. 00G 14.9138 14.924 8 -.j 7 125. 133 123. 71 1 1.06

2147- 272. 330 14.-94434 14.9138 --.t.9 143. u65 146. 439 1.1C

2103 276. CGG 14.8899 14. 9048 - • 1 u 171. 196 16 3.2 33 1.12

2109 231. GCO 14.8803 14. 39 7 -. 11 194. 376 192.147 i.15

211-0 284,000- 14.8715 14.8896 -.12 217. 5w5 214. 398 1.1-5

2111 258. GCC 14.8632 14. 8826 -.13 24 . 5 8 237.307 1.15

2112 292. CCu 14.8553 14. 8753 -.14 263. o45 263. 566 1.17

2113 2 9 6. M6 14.8478 14. 8689 -. 14 286.475 233.263 1.12

2114 33C. GCG 14.84G5 14. 8635 -.16 339.501 3u5. 933 1.15

2115 3u4. CCC 14.8333 14.8573 -.16 3o2. 30 9 328.467 1.16

2116 > 3 8 . C Q - 14.3264 14.851C -.17 355. u24 35u. 964 1.14

401 24". CCC 15.5148 15. 5G63 . 06 12.548 13.604 -8.41

443 2— -244-^Q£-0-

2 48. JCC

1-5.4-372-

15.4494

15.4733 -,-0 9- - - 36,366

59.925

33.127

60.979

-4. 84

40 3 15.4413 .05 -1.76

404 25 2. CCO 15.3916 15.3881 .02 3?. 324 8. .783 -.57

-46-5- -2-5 6*444- -15.3 582- 15.350 9 - -.^2 1C-3, 740 lw3. 3 6 .34

40 6 2 6 C . Q C 15.3402 15.3457 -. G4 128.526 127.753 .60

407 2 5 4. C 3 3 15.3263 15.3346 -. .5 153.639 152. 5o8 .73

---4-08 268.0 24 15.3157 15.3252 — * xj 6 — - 176, 943 177.523 .79

40 9 272. QCC 15.3 359 15.3171 -.07 2C4. 2 32 20 2. 53 6 . 35

410 276. CCC 15.2963 15. 3394 — . u 8 229.462 227.469 .37

411- 244.448- --15*2-844-- 15*3421 -.0 9 2 54. 63 5 252.334 .38

412 234. OCC 15.2 30 3 15.2951 -.13 279.731 277.238 .39

413 2 3 8 . 15.2726 15.2381 -.10 3G4.719 3G2.G21 .89 — 414 - - -292*444 - 15.2651 15.2ol6 -.11 329.673 326.725 .39

415 29 6. OCC 15.2578 15.2749 -.11 35-+. 484 351.350 .68

--4-901 24 0.C44--—15,586 15.5816 .03 22. J21 22.591 -2.59

49C2 244.CC: 15.5564 15.5532 . ,2 46. 7G3 47.124 -.90

4903 24°. GCO 15.5 07 8 15.5092 -.01 63.9C8 68.719 .27 —4904 —252.3c

15.4567 —15.4642 . ^*^-5- - 9-«r*-554- 3-9,- 52 X-—- 1.14

4905 25b. GOO 15.4-322 15.4446 -.08 115. 324 113.662 1.44

97
Table 12. Continued.

EQUATION OF STATE VS. PVT DATA

10 T,K ^OL/L CALCD Q,PCT P,3AR CALCD P,PCT

4 90 6 26C. GCG 15.4174 15.4314 -. -9 14 1. 78 3 136.743 1.45

if 90 7 264. JOC 15.4053 15.421c -.10 166. 466 164.090 1.43

4908 266. QSC 15.3 94 5 15.4127 -.12 192.3.. 6 139.511 1.4 5 490 9 272. Oil!] 15.3«53 15.4047 -.13 216. c42 214.936 1.42

4910 276. GGf 15.3765 15.3973 -. 14 2 43. 83 7 Oh- . 322 l.<+4

4911 2 8 C . C P P 15.3682 15.3907 -.15 269. 472 265.652 1.42

4912 284. 00 2 15.36C3 15.3835 -. 15 294.971 290.914 1.38

4913 288.000 15.3527 15.3765 -.16 320. hh6 3lo. 096 1.36

2CC1 232. CCO 15.9501 15.9469 .02 12.667 13.125 -3.62

2002 2 3 6. CCO 15.9 203 15.9133 . 4 38.50 3 39.563 -2.74

2033 24 C. 3 DC 15. "767 15. 876c . c' J 63.368 63.462 -.15

2C04 244. 000 15.8173 15.8231 -.04 65.355 34.452 1.06

2C35 24S. coo 15.7380 15.7939 -.07 111.353 1-9. 630 1.55

2 CO 6 252. ceo 15.7 70.9 15. 7846 -.09 138.64 9 13 6. 40 3 1.62

2GC7 256. 000 15.7579 15.7736 -.10 166. 249 163.61. 1.59

2T08 26C. COO 15.7468 15.7642 -.11 193.947 190.940 1.55

2C09 2 64. GOG 15. 737

15.7556 -.12 221. 619 218.297 1.5

2 : i a 2 6 8 . 3 15.7278 15.7478 -.13 249. 268 245.600 1.47

2C11 272. QCO 15.7193 15.7401 -.13 276. 760 272.851 1.42

2012 2 7 6.000 15.7111 15.7325 -.14 30 4.166 3 3.026 1.36

2C13 2 8 . C 15.7033 15.7254 -.14 331. 520 327.112 1.33

201* 234. OOC 15.6956 15.7132 -.14 353. 724 354. 106 1.2'.

3401 2 2 8 . 16.1977 16.1927 . 3 18.552 19. 366 -4.39

340? 232. 300 16.1667 16.1604 . .4 45.325 46.874 -2.29

3403 23 6. flOC 16 . 1 144 16.1126 .01 70. 349 70.341 -.42

34G4 24C. jCf 16.0623 16.0676 -. ',3 Q 4.209 93.308 .96

340E 244. 000 16.^335 16*0478 -.06 122.246 120.623 1.33

3436 248. 000 16.. 229 16.0345 -. 07 151.129 149. 62 1.37

3407 252. 000 16.0105 16.0 24C -.08 180.296 177.816 1.38

3403 25 6. 3 CO 15.9998 16.0147 -.0 9 209.491 20 6. 661 1. 35

3409 2 6 C . G S 15.90016. 063 -.10 238. 662 235.499 1. 33

3410 2 64. a:: 1 5 . 9 8 1 C 15.9981 -.11 267.721 264. 290 1.23

3411 263. 000 15.9725 15.9904 -.11 296. 664 293.006 1.24

3412 2 72. C 3

15 .9643 15.9328 -.12 325. 542 321.630 1.20

3413 2 7 6. coc 15.9565 15.9756 -.12 35u, 30 5 350.154 1.17

9C1 220. 00c 16.5668 16.56<+4 . LI 14. 301 14. 743 -3.13

90 2 224. G30 16.5559 16.5 301 .c3 U3.322 44.4j2 -2.49

90 3 2 2 8 . 3 16.4831 16.4321 . ;i 69.228 69.412 -.27

904 232. :oc 16.4261 16. 434? -. 04 94. 563 93.396 1.25

905 236. 3vC 16.4034 16.4139 -.06 124. 747 122.685 1.65

90 6 240. 000 16.337*+ 164o0 5 -.0 8 155. 972 15 3* 32 6 1.70

907 244.00 16.3747 16. 3396 -. .9 167.424 184. 35o 1.64

908 246. coo 16.3 63 3 16.3799 -.10 216.90 5 215. 479 1.57

90 9 252. OCO 16.3539 16.3 712 -.11 250.394 24 6. 60u 1.51

910 25 6. COG 16.3U-47 16. 3627 -. 11 281. 716 277.667 1.44

911 26COt.O 15.336l 16 . 35<+c -.11 312.936 308.647 1.37

912 264. 050 16.3276 16. 3466 -.12 343. 986 339.521 1.30

3701 216. OCC 16 .7975 16.7930 . .5 21.043 22,564 -7.23

3702 22 0.0 GO 16.7612 Id. 7554 .03 51.249 52.443 -2.33

370 3 224. 002 16.6985 16.6976 .01 76.124 76.337 -.24

3704 2 2 3. •} G C 16 . 6 54 2 16.6610 -. 04 104. 762 103.3^7 1.35

370 E 2 32.,. CO 16.633" 16.6433 -« w 6 136. 904 134.731 1.59

3706 2 3 6. COO 16.6183 16.633 5 -. 07 169. 765 167. 083 1.53

98
Table 12. Continued.

EQU£ TION OF ST^TF: VS. P \/ T DATA

10 T,K MOL/L CALCO D , P C T P , ^ A

c JALCj P.PCT

37C7 ?4C o'oo 1 6 . 6 6 i 16.619 7 -. .. 3 2^ 27 o

199.733 1.51

37? 3 z^.^:; 16.595 16. 61-33 -. ,9 235. 3b9 <-3Z. 342 1.50

3 70 9 24^. GC^ 16.5 35 6 16.6 ' 12 -.0 9 268.798 265.119 1. 37

3710 252. occ 16.576s 16.5925 - . 1 J 3L.1. 617 297.725 1.29

3711 2 56. 3 00 16.5 67 b 16. 584C -.10 33^. 255 33a. 228 1.20

1 9 D 2 212. ;o

17.0476 17. 561 . u7 34.269 3 6.820 -7.45

190 3 216.000 1 6 . 9 9 8 L 16.993 5 .-3 64.05c 6 5.0 54 -1.58

l c 'll C L. - • J '- L 16.9 33 5 16.9365 -.0 2 89.9 84 39.300 .76

19C5 22*+. 3 £

•* 15.0.41+ 16.912 5 -

, 5 122.714 12.,.37u 1.5

190 6 2 2 8 . j ;i c 1 6 . 8 3 7 i 16.69 7 6 * . w 6 157. 164 154. 672 1.59

1907 2 3 2 . w

r o 16.8 73 5 16.8859 -. 7 19 2.0 25 189. G51 1. 55

1 C 0S 23 6. 16. 8 62 16. 8754 -. -3 226. 904 223.595 1.46

1909 2<*0. DC 16.8 517 16 .866 -..3 261. 772 253.149 1.38

1910 2 4 4 . L- C 16. 8 421 16.8569 -. .9 296.476 292. 643 1.29

1 Q 11 248, 000 16.8331 16. 3482 - . : 9 331. 044 327. L32 1.21

201 2- 3 C . C C 17 ,444b 17.4519 -.£4 6. 801 5 . 061 25.53

20 2 2 Z 4 . .. ', 17.411

17. 4?> 2 4 . J5 Z7,7b2 39.920 -5.72

23 3 17.3535 17.3532 • W U 6 8. 33 68.119 -.13

204 212. ; c r 17.2928 17.2999 -.04 96.577 94.762 1.87

2C 5 216. c c •: 17.2o66 17.2777 -. u6 132. 349 129.468 2.18

£06 22. .-c r 17 .2^98 17.2632 -. .. 3 169.669 166.132 2.08

207 2 2 a . •; {

•: 17.236c 17.2511 -. .3 207.255 203.332 1.89

7 n q 22 R . QC0 17.2251 17.24^3 - . , 9 2 44. 8 95 24 0. 675 1.72

209 2 3 2 « Q C 17.2147 17.2302 -.09 232.402 273.L07 1.56

213 236. 000 17.2051 17.2 20 8 -. : 9 319. 311 315.254 1.42

211 240. 000 17.1961 17.2117 -. .9 357. j46 352.376 1.31

3901 19 6. GCi] 17.6192 17.6197 ". V J 4.943 4.814 2.61

3°32 2 a c . c c o 17.5 813 17.5657 . 09 35.738 39.833 -11.47

3903 2 A . O Q

' 17.5236 17.5180 .03 67.42(5 6 3.3 85 -2.17

3 9 C 4

2 " h . .

17.4609 17.4638 -. .2 ^o. 616 95. 842 .30

39 n 5 2i2.?':: 17.4342 17.4413 -.0 4 133. 533 131. 664 1.44

392 6 216. CCG 17.4172 17.4266 -.05 172.225 169.624 1.51

3 C G7 22" . :..

17.4 :39 17.4142 -.06 211. 113 2J0.164 1,40

390 3 2 2 4 . C C 17.3^23 17.40 3 5 -. 06 25w.l27 24 6. 65 3 1. 31

3909 22-6. 3

" 17.3 818 17.3^32 -. ^7 286. 94 D 235. 534 1.18

3910 2 3 2 . G G 17.3 721 17.33 3 2 -.06 327.523 32*. 129 1.04

16C1 192. 01. 17.8154 17.8399 .v3 9.665 11.396 -15.51

180 2 19 6.000 17. 7745 17. 7b6 r

. 05 44. 533 47.C12 -5.57

ib: 3 17.7.94 17.7063 ..2 73.933 74. 8G9 -1.18

180 4 2 4 . G 17.6575 17.6623 -.-3 126. 983 10 5.608 1.29

1615 C ..' • -J . - 17.6 344 17.6424 -.05 1^6.253 143.921 1.59

16"-6 212. "5 "; 17.6185 17.6231 -. .5 136. 673 163, 812 1.53

1837 2 1 6 . Oj c

17.-6455 17.6161 -. .6 LZ7.37. 224.147 1.42

160 8 22l. OGu 17.5 94 2 17.6053 -. 06 26 3. 53 264. 53u 1.3G

180 9 224. CO 17.583? 17.5951 - . - 6 30 6. 565 3L4.974 1.16

lfalQ L. C. r' . W u »- 17.5741 17.5o52 - . 6 346. 859 345.253 1.0 3

<»(]1 1 8 8 . c ;. f 18. l 211 13.0125 • . 5 19.317 22.395 -13.01

**C 02 192. 0££ 17.9765 17. 9692 . 04 55. 964 58-169 -3.94

4 CO 3 19 6.300 17.9,32 17.90 2? ..0 64, 330 84.416 -.10

40 04 2 :

:' . c o o 17. »657 17. 671^ - . j 3 122.367 120.657 1.40

4005 2.: ^. CCS 17.3459 17.8 53 8 -.-.,4 1-64.0! 76- 161.^626 1-4?

UCC6 2ua. c:o 17.6 311 17 ,8 402 -.j 5 20 6. 55 2 20 3.659 1.40

4

r G 7 212. KG 17.8187 17 . 62 82 - . . 5 2 49.0 38 245.994 1.24

99
Table 12. Continued.

"QU^ TICK CF S TAT2 \fS. PvT CmTA

10 T,K KOi_/L CALCD 0,FCT P ,bAP CaLCO P,PCT

4 o a 3 216. r r r 17. 3"76 17. 3171 -. 25 291 , 542 233.367 1.09

4039 2 2 2 - DC 17.797 5 17. 325 7 -. 35 333 ,471 332,. 676 .84

701 i pr . ; Q £ 16.295C 18.2955 -.CO 5 . 247 5.12,0 2.31

70 2 18*-, COO Id. 2532 18.2397 . 7 39 ,72t* 44.13- -11.39

7 13 13o, i r » 18.1655 10.13.3 . .3 71 ,258 73. 771 -2.38

704 l c r • 3 C C 18.1284 18.130-. . 1 126 ,669 10 5.927 ,7,

7 3 5 19 c

. .. L '. 13.1.3d 13.13 91 -. J 149 ,662 147.925 1.16

736 2 . C < '3 13. 1 37 jj 13.G937 - • - 4 194 .175 191.977 1.13

7.7 20 k« c c 1 8 . C 7 3 a 16.1-339 -.3 4 239 , j5l 236. 5o7 1.03

72 5 2 } 6 > o z o 18. S 621 18. G69C -.24 2o3 ,791 231. 328 .87

7JQ 212, 13. 2 514 10.253. - • 4 325 .419 326.019 .73

41G1 17 6. C i- — 13.4334 16.4757 .3 7 11 < , 273 15.447 -39.51

4i-j2 « C * <* r 13.442 3 13.4233 • Co 49 . 58 3 54. 433 -9.78

4103 1 54. . '. L 1<*.3632 18.3597 • . 5 79 , 794 32.731 -3.63

410 u 1 8 8

3 - v 13.3232 18-.322G . .1 119 ,71b 120.133 -.35

U±05 i Q 2. 3 C 2 13.3.17 1

Q . 3 . 2 4 TM • %*" J 165 ,186 164. 914 .16

4106 * *\ r * * . 13. 2 361 18.2 3 71 -

: l

-\ -A * C_ J. , 566 211.202 .18

«»10 7 p ' - ..3 13.2 73 2 13.2 74 7 -.-l 258 ,517 257.377 .25

41.33 20 4. l C 3 13.2 62" 18.2553 .24 3" 2 , 525 30-*. 311 -.33

4109 ? - c DCS 13,2512 10.249" . : l 35. . 371 351.337 -.13

i7:i 172. f ^ 18. 6 5? i* ie.639 r- . 36 12 , 449 16.229 -3 2.37

17:2 17 6. **" r

*" 18.6316 10. 592 . • . 5 52 ,3 91 55.592 -6.72

1703 184. ceo 13.524= 13.5222 . il o2 ,782 83.755 -1.18

17j4 I

2. 4, * Ti " 13.4 334 13. 4565 -..2 124 i 3i,6 123.636 .90

1705 1 H P ? Q

" 13.^625 18

4672 -. .3 172 , 359 17C.302 1.02

1706 192. -i r 13.447. 18.4523 -. . 3 222 ,33c 213.326 .91

1737 196, 2 G 3 1*.**342 18.

59o -. L 3 26o ,666 26 6. 7i5 ,71

175". 2- C . 2 3

r 18.4225 13.4269 -. ,2 316 .945 315.20 3 .55

17C9 204, ---* 16.4119 13.4152 — » - c 364 ,3 96 363. 556 .37

4 6:i 16°. 3 l : 18. 617 3 18. 81^3 . :z 17 ,297 19.583 -13. 20

4802 172. 2 C 2 18.768 J 13.7615 . -3 57,, 62 7 6 j. 065 -4.30

4 8 3 176. 2

r

'* 13.690 7 16.69'.' 6 • - j 8 3 , 759 3d. 814 - . w 6

£*8l4 i& ::. J - L 13,6551 18. 65o7 -.21 133 >-21 132.392 .46

4 8 2 5 i

c <+. ^ v 18.635. 16. 6o39 - . , 2 182 , o46 181. 119 .64

4606 -i J Q

] 2 3 13.6197 16.62 5 2 -.3 3 235,, 273 231. G92 .93

**837 192. - *_ _ 1 3 . o '6 9 18.6118 -.1 3 253 , 464 231.451 .71

4«C3 196. 18.5954 18.5999 -.3 2 33Zi 677 331.793 .56

5:16 2, 2 :c 19. - 67 ; 19. 0542 . c7 2 2 , 31« 26. 102 -25.38

50 3 16i-. r f* r* 19.2-+29 19 . 3G 3 . 27 42, 53 C *7. 811 -12.28

534 16^. L L -' 19.. Ill 19. DC 12 . .5 61 ,9C5 66. :. 15 -6. 64

50 5 1& 8u J - lc .9 6*5 1 c . 9611 . 24 7c, 4?7 79.473 -3.97

5o& 17 . J w

'-- 16.9351 16.9324 . .1 95,,319 96.421 -1.16

en 7 172. C U u 13.9159 13.9154 . 2 118,, 776 113.974 -.17

50 3 176. * '

-" 13.3924 18.3935 -.21 169,,92 7 169.475 .25

5 0-9 1ST. 3 C J 13. 6 75 6 13.3771 -.CI 222,,633 222. v36 .25

51

18 4. - '- j 13.3622 13. 3626 - • 3 j 275 , 48 2 275.28. .07

511 133, irr 13.85C1 18.849 6 . : o 328, 34G 328.551 -.0 6

16" 1 152. - - r 19.4242 19.4153 .-3 12,, 279 14.733 -22.42

16 2 156. i* *. *j 19. 3 69 2 19.363 6 . 3 3 55, 97 6 56.433 -4.39

1613 162 , •J v •-- 19.2 377 19.23^4 - . u 1 o9< o35 8 0.36 6 .36

1604 16^, G 2 19.2 5C1 19.2553 -.2 3 14., 974 137.891 1.3 4 16u5 16 fl

. . ",

19.2295 19.2357 -.23 l9o, 5 2 7 193. 641 1.46

16S6 172. gco 19.2139 19.2193 -..3 253. 402 250.855 X • tl J

100
Table 12. Continued.

QUATION OF SWT: PVT DATA

10 T,K •KDL/L CALCn J , P C T P , !Ar. CAL03 P , PCT

1607 176. 00 19, Z<3<J 19.. 204 e -. : 2 31C. 3 5 5 J 3, 427 .62

160 3 18i.. OCC 19 .1837 19. 191 l -. .1 36 7, 09 2 o65, S31 . 30

8C1 14<*. r CG 19 .72lo 19.7x64 . . 3 ( 387 12 .62 -2 8.50

612 1 4 3 . C C f 19. 6674 1 '-i • 6 5 3 C . 5 54. 4 39 59. 151 -8.56

90 3 152. :co 19. 5 341 19.5816 il 89, 2.4 u 9-. 491 -i.40

804 1 5 6 . G 19 .5 451 19.5462 -.0 1 142. 306 142, 2 35 . 39

805 161 . J C 19 .5240 19.525:" -..0 20 2 324 2J1 ,833 .24

83 6 164. ^; 19. 5:ai 19.5 07 8 • w 262, 8c 5 263, <j 3 3 -.04

8G7 1 6 8 . C C G 19. 4145 19.4923 . ,1 325 , h3 6 524, 576 -.35

801 172. 000 19 .4323 19.477"? . .2 385. 722 336 ,103 -.62

15C1 1 3 6 . C t] l C -_ .3 297 20 .„249 . 2 13. 689 16 ,292 -19. 01

1522 136. ISO 20 oca 2 19.9^52 .06 57, 331 44,, 870 -18.61

15C3 14C .0 00 19 y72" 19.9639 . - 4 6_, 57<+ 64 .9 31 -7.28

1504 142. J C C 19 .9261 19.92u6 . 3 7o 559 7 9 .475 -3.81

1505 14 4. .. £ n 19. 8«96 19.8391 • w 0, '9 8,,*6«, 93 . 64. -.39

1506 148. Z r " 19

a. cj c w 19. 356° -.01 157, 716 15 7, i27 .37

1507 152. CCG 19. oo56 19.83 5 8 - ... J 221 , 746 221 , 670 • 03

15C8 15c. oc: 19 .6199 19. 813^ .01 286, 559 237 ,62 j -.36

15Q9 16 C. CCu 19 . 8 : 6 3 19. 3 '22 . .2 351 .<+6S 353 . o55 -.6 3

6G1 12 8. OCG 2 j < 3113 20.30 99 . .1 6, 715 7,, 774 -15. 7 6 6C2 13-. o:o 20, 2373 20.2747 . . 6 29 .285 3 6 .63 7 -25.27

603 132. 0GC 20 25 3<? 2G.2455 . 04 54,,98 59 , 906 -8.9b

604 1 3 4 . C

;' 2 1, ,2:9: 20.2:29 . _ 3 72 ,363 75 .953 -4.95

605 136. uCG 2a. 1674 20 . 165 6 . .1 92,,490 93,, 516 -1.11

606 13 8. or: 20.. 1.43 8 20 . I44i "" • - J 121, 2^5 121 .133 .09

607 14 C. 000 20.,1286 cu.1289 - 1 P

• u y 155, 575 153 , 221 .10

608 142. C00 Z j .1169 2. .117f - . J 137 . .24 18o .97 9 .32

609 144. 3 00 2 a. 1271 2 ... 1 ". 6 2 • X. J 221,, 394 221, 56 6 -.21

610 146.000 2C. 9b 5 20.0965 ..'*; 1 ^55,,519 25b,, 557 -.<+8

611 14 8.300 20 S907 20.0 37 3 . 2 239 ,67 3 291 ,7i*7 -.71

612 150. CCG 20 .u935 2 G . 7 3 7 .02 'Sc^ ,090 327 . 0. 9 -.93

613 15 2. 0C0 20, C76 7 2C. 70 2 . 3 358 , 3wS 362 .302 -1.11

140 1 121lCO 20 . 6 2C 6 2..615- ., 3 12 , 7k7 16 .363 -2 3.41

14C2 122.000 20..5923 20.532^ . ,5 3 3 , 66^ 4 5 , 012 -16.42

1403 1 2 4 . ; c 20 ,5527 2: .5470 .

' 3 Ol ,436 65 .864 -5.09

1404 12 6. 00 20 ,5045 20.5019 . .1 79 ,23b 35 .663 - 2 • u 5 14C5 12 8,DtiC 20

.4695 20.^711 -.»1 1^4 >767 10 3 , 776 .96

1406 13:. g til 20 ,449 c- 20.4524 -. -1 137 49 9 135 .94 1.13

1407 132. S.P8 20 .4 7 6l 2 3 .4333 -.v 1 172 , 76 5 171 . 39. . 30

140 3 134. OOO 2C<,4252 20 • 4262 -. .1 20 3 ,90 5 2 8,.219 . 6Z

1409 1 3. 6 . G 2 j ,4157 21 .4154 .00 2<+ 5 ,513 245 ,693 -.7

1419 1 3 8 . G S 2C .4,73 20.40 5 5 . 0.1 282 , 3.9 23 3 .493 -.42

1411 14 c. ace 20.3996 2w . 3 96 '.. . .2 519 . 091 321 > <+-+7 -.74

1412 142. oca 20 .3924 20.3 36° . 3 555 , 322 55 1 , 455 -1.02

3801 ii6.;cc 20.,7756 20.7719 . ,2 19 , 636 22 .0 31 -12.45

3802 1 2 : . o c c 20 .702: 20.6998 • C 1 £3 , 13 3 59 ,591 -2.14

3803 124. aco n .6265 23.6311 -. .2 116 , 827 11 j .7 99 L.59

ZsQk 12 8-^4-0-5 2.:,,5967 20. 60 u

-.02 lc8 ,9.11 19b ,321 1.3 7 3805 132. OCC 20 .577C 20 .5779 - . u j 2 6-+ , 639 264 .; 77 .21

3906 13 6. OCC 20 .5612 20.557s . 2 34 , 63 2 34 3 , 020 -.69

1101 112. Q C C 20 .910 8 2093o7 . .2 11 ,911 14 . 794 -24.20

1102 1 1 4 . C 2C .3819 2t,8727 . L.4 36,, 739 45,. 150 -16.55

113-3- —11-6* *JX4i- 23-. 8^J6 20 ^83 60 . 02 65 ,15 6 66 .356 -5.04

101
Table 12. Continued,

EQUATION OF STATE VS. P VT DATA

ID T,K i 10L/L CALCD D,PCT P , tJAR CALC3 F,PCT

110 4 119. oce 23 .7914 20.7897 . .1 a j , 47 c 31.635 "" X • P Ki 1105 1 2 C- • 3 20..7568 2" .759; -.iii 10 8. . 2. 1G5 . 519 1.39

1136 12 2. 3 u 7374 2C. 743 3 -. Li 142, ?9 9 141, 23 6 1.25

1107 124. 300 7236 ,7253 -.31 lb. . uq c 179,, 5ZZ • 6 5 1108 1 2 6 . G G 23. 7124 23

,

,713c -.31 219, 553 218 ,756 .35

1109 126.000 23. 7329 20. 7 £ 2 4 • 33 253, 617 25 o ,956 -.13

1110 13".:':

23. 6 944 2l ,69 2 : . ; i 29 7, 339 299.,43 5 -.5 6 1111 132. JCC o p 6 665 ZZ, 6323 . ..2 336, 963 34.,, 165 -.95

1301 1 Z 8 . C G 21. 0651 21. 614 . 3 2 13, 227 20. 913 -14.73

1302 1 1 C . 3 C C 21..3 339 21 ,028 8 .: 2 47 ,131 5 . .765 -7.78

1333 112. 3 3

C J & 397 23 . 9666 . .1 66, 417 7 :, 599 -3.19

13G4 114. OCG c'941 b Zt . 942 = - . -36., 149 87,, 312 .95

130 5 1 1 6 . 3 : c 2 . ,9133 23..917.: -. ~.z 12..,.35 117,,365 2.22

1336 ll p

. occ 23 .896. 2 . .8996 -.3 2 157 ,492 154 .936 1.62

1 3 3 7 1.2 . 3 3 : 23. 6 83 k. 2. , 8i5 6 — . b 1 196. 919 195,, 171 .69

1308 122. 300 20 < 8 72 5 23. &75^ - • C u 237, ..93 236,,559 .27

130 9 124. OCG 23. 8 63 3 23 .362C . :i 277 .636 27* .53. - • 33

1310 12 6. OCC 20 . 6 54 8 2l ,8517 . .2 313 ,41y 320 .734 -.73

1311 1 2 8 . 8 G G 20, 8 471 20., 3417 . ; 3 359., .26 363 , v.64 -1.12

43G1 1 " 4 . u . C 21, 198 4 21 ,1982 • ^ j_^_ , 928 11 ,96, -1.12

1*332 1C9.0CG 21 .124b 21 .1243 64 , 514 64 ,710 -.31

4303 112.333 21 .3 411 2-t .347 6 -.3 3 112 , 351 1. 3 . C bo 4.24

4334 116. 3 33 21, C 6 5 21 ,313c -. : 3 193 ,66: 18o.,739 2.3 7 4305 1 1

a

. 3 C 3 20, 9973 21 .3.11 -.0 2 232

,

17 ZZ i,,139 1.24

4306 12:. oc: 2u . 967? 23 .9394 -. .1 27i ,554 272 .253 .46

43G7 122.000 23 ,979 2' .9785 • •- u 515 4 1

» *3? i « 315 . 752 -.14

101 1 C . C 3 21. 3435 21 ,3 57? -.36 22

532 11.,704 47.99

1C 2 i a 2 . o o c P

4 7 -1 7

~ 21 , 319^ -.33 49 ,527 44 , 397 13 . 38

1C3 104. u C 21.. 2 66 4 21.,2747 -• b4 73,,257 63,,331 9.15

104 116. 020 21 .2192 21 ,2315 -.3 6 91 ,354 32 ,393 13.29

10 5 133. 3C? 21. 1922 21 2361 -. .7 126, 546 115 ,*7(j 6.4 4 1C6 li-.acG 21, 1749 21 ,19.4 -.3 7 163,,214 15 6,,205 7.14

107 112. 000 21 .1624 21 ,1755 -. 36 239,, 8 ? 7 199 ,c76 4. 36

109 114.00$ 21 ,1516 21 .1633 - . . 6 253 ,117 244 . 3 3b 3.61

10 9 116. C 33 21, 1425 21 ,1501 -.34 295.,24 7 289, Z7 j 2. . 2 11C i o : . o 3 o 347 5 21 .3515 -. .2 17 , 991 14 , 664 17.39

111 102. CGd 21 ,3151 21 .3176 -. .1 4 7 ,964 40 i 3 •+.39

112 104. 330 21 .2 6b 5 21 .2 73 8 - . . 3 6-3 .53 4 65 .441 5.95

113 156. 3C"J 21 2 2 u 8 21 ,229? -. .4 9. 567 9 3, 633 7.66

114 10 8. 00 21. 1931 21 .2338 - . -. 5 124 ,9.6 116 ,546 b. b2

1-15 113.003 21 ,1763 21 .13 61 -.3 5 164 , 766 157 ,353 4.63

116 112.300 21 ,1631 21 .1717 - • 3

: 4 2.6 . 396 2.". ,235 3.22

117 114. '.'I 21 ,1524 21 .15 8 8 -. ,3 249 ,715 244 , 64 ; 2.33

118 116.000 21. 1 43 ii 21 ,147C -. .2 29<:,, 32u 2 9 9,, 61 3 1.3 9

12C2 94. 33C 21 , 5 994 21 .59J3 . 3 4 3 5

,37 3 43 , 495 -21.26

1203 9 6.300 21 .5554 21 .5=512 . "2 63. ,91 66 ,536 -5. 54

1204 9 9 . a o e 21. r .. 7 -? 21 ,5,26 • L 'j 81,, a5 3 32, 432 -,o7

12G5 13 ". 330 21 .4677 '" 4

(- J. .47.6 "TM • \> .*. 113,,75 5 111 , 396 2 . J 8 1206 13 2.333 21 .4478 21 .4536 -.3 1 154, 393 152,,523 1. 52

12G7 1G4. OGO 21 .4335 21 .4351 - ... 1 19° ,

4 98 197 ,734 • 66

1239 10 6.00c 21 ,-422 3

r i_ ,4214 . ij j 244, 329 244, 754 -.17

12G9 lb O. " U ij 21, 4120 21 .4o93 . i 1 293 , 3 45 292. 5j2 -.85

121 j 113.0 33 21 .4333 21 ,3973 . 3 3 335, 313 34 « , ,633 -1.44

102
Table 12. Continued.

EQUATION OF STATE VS. PJT DATA

ID T,K ^ICL/L CALCD O.PCT U ,9A-. CALCJ P,PCT

4701 93. j ~ u 21.6022 21.6 37 1 -.6 2 87. 37„ 83 . 643 4.61

47C2 9u. 3C! t 21.6 63 7 21.671? -. - 4 1J4.98C 9*i. 241 6.42

47C* 9F.G-CC 21. 6 4V 21. 6451 - . ,: a 146.217 139.125 4.8 5 47C4 9fl.'-i.C 2 1 . b 2 5 21.6323 -•C3 191.732 135. 715 3.14

4705 ICG. 1GQ 21.6131 21.617 8 -. .2 2 3 3 . c 9 4 23^.5 35 1.7"*

47 r 6 iC2.3r-: 21.6,25 21. 6C 3 6

"" L 'J 2 3 5 . i 8 2 234.499 .31

4 7G? 1;I4. 3CG 21.5936 21. 59 2

r

-? 331. :J59 334.953 -.90

NP = 430, PNc?'SP r T = .091, PMEANPCT = 2.661

103
Table 13. Heats of vaporization and closure computation.

LOOP CLOSURE CHECK FOR SATURATED LIQUID,

ENTHALPY HLR VIA N8S CV, HLC VIA CLAPEYRON EQN.» J/MOL

T,K HLR HLC OIF Q,VAP OH/Q,PCT

95 563* 5637 53 17696 .30

100 5975 6016 *0 17553 .23

105 6313 6352 J* 17*02 .20

110 6661 669* 33 172*6 .19

115 70j* 7039 35 17086 .20

120 73*9 7387 38 1692* .23

125 769* 7717 *3 16761 .26

130 3039 3 68 *9 16597 .30

135 8336 8**1 5* 16*32 .33

1*0 873* 3793 59 16266 .37

1*5 9082 91*7 6* 16099 .*0

150 9*33 9500 67 15931 .*3

155 978* 9855 70 15761 .*5

160 10138 10211 72 15589 .*7

165 10*93 10567 7* 15*15 .*8

170 10851 10925 7* 15237 .*9

175 11211 11285 7* 15055 .50

130 11573 116*7 73 1*869 .50

185 11939 12012 72 1*677 .*9

190 12308 12379 71 1**78 .*9

195 12681 12750 69 1*272 .*9

20Q 13057 1312* 57 1*058 .*8

2J5 13*38 135C3 65 1383* .*7

210 13823 13887 63 13599 .*7

215 1*213 1*276 52 13353 .*7

223 1*6G9 1*671 51 1309* .*7

225 15011 15073 61 12821 .*8

230 15*20 15*81 51 12533 .*9

235 15836 15898 61 12227 .51

2*0 16260 16323 52 11902 .53

2*5 16693 16756 5* 11556 .56

250 17137 17203 65 11186 .59

255 17591 17659 d7 10791 .63

260 18061 18128 67 10365 .65

265 185*7 16612 65 3905 .66

270 19053 19113 62 9*06 .67

275 19575 1963* 59 8857 .67

230 20126 20181 5* 82*9 .67

235 20711 2C759 *8 7561 .6*

290 213*3 21383 39 6763 .59

295 220*9 22077 27 5793 .*7

300 22900 22907 6 **87 .15

104
Table 14. Comparison with specific heats, C (p,T), from

H. M. Roder.

ETHANE SPECIFIC HEATS CV(O f T), J/MOL/K

10 MOL/L T,K P,3AR CV.XPT

1901 1.5 85 288.863 27.137 •9.30

1902 1.5 85 292.068 27.702 49.21

1903 1.585 295.232 28.267 48.28

1904 1.585 299.364 23.978 48.87

1905 1.564 304.333 29.5 25 49.32

1906 1.584 309.311 30.660 49.10

1907 1.583 314.289 31.315 49.85

1908 1.583 319.287 32.361 50.21

1909 1.582 324.315 33.192 50.18

1910 1.582 329. 076 33.99o 51.11

1501 3.27b 298.669 41.454 60.31

1502 3.276 302.904 43.329 56.64

1503 3.275 307.501 45.321 55.60

1504 3.27* 312.122 4 7.293 55.11

1505 3.272 316.773 49.247 54.33

15 06 3.271 321.425 pi. 186 53.93

1507 3.270 326.113 53.122 53.91

1301 4.611 303.116 49.5 962.03

1302 4.609 312.344 52.t>78 59.59

1303 4.607 316.397 55.316 58.61

1304 4.604 320.349 5 7.35 8 57.30

1305 4.603 324.259 6u.361 56.95

1306 4.601 326.210 62. = 66 5 6.92

1201 5.887 3J6.511 51.563 68.85

1202 5.884 313.190 55.723 o2.98

1203 5.881 317.960 59.927 60.78

1204 5.376 322.792 64.160 59.47

1205 5.876 327.675 68.*21 58.71

1705 7.891 307.853 52.03H 67.13

1706 7.868 311.011 56.172 63.75

1707 7.884 314.211 60.335 62.20

1708 7.682 317. 44u 64.653 61.26

1709 7.880 320.690 68.959 60.54

17 10 7.879 321.099 69.-99 60.20

1711 7.877 324.541 74.066 59.88

1712 7.375 328.165 76. oo7 59.49

1407 9.177 3J 6.5^1 52.-88 59.72

1408 9.173 309.793 57.c53 58.44

1409 9.169 313.122 63.321 57.70

1410 9.166 316.473 69.<163 57.34

1413 9.158 326.629 86.571 56.92

1418 9.177 306.311 51.768 59.88

1419 9.173 309.399 56.933 58.49

1420 9.169 312.513 62.276 57.77

1421 9.166 315.643 67. =31 57.36

1422 9.164 313.612 73.u7o 57.04

1423 9.161 321.990 7 8 . 5 4 9 56.95

1424 9.159 325.136 84.074 56.77

1425 9.156 323.408 89.645 56.85

1603 11.049 297.554 46.142 53.79

CALCD PCNT

48.22 2.13

48.33 1.76

48.48 -.41

43.70 .35

49.02 .62

49.38 -.56

49.7 7 .15

50.20 .01

50.65 -.95

51.10 .01

57.04 5.42

55.64 1.77

54.89 1.27

54.52 1.07

54.37 -•Co

54.36 -.80

54.45 -1.01

60.31 2.76

58.52 1.60

57.63 1.67

57.12 .30

56.84 .20

56.70 .40

64.70 6.03

60.73 3.48

59.17 2.65

56.33 1.92

57.88 1.40

57.84 13.85

56.27 11.74

55.72 10.42

55.50 9.39

55.45 8.40

55.46 7.88

55. 52 7.29

55.65 6.45

54.91 8.C6

54.47 6.79

54.37 5.78

54.41 5.12

54.91 3.54

54.96 8.21

54.50 6.82

54.37 5.88

54.39 5.17

54.48 4.47

54.6 3 4.07

54.81 3.44

55.02 3.20

51.55 4.15

105
Table 14. Continued.

ROGER ETHANE SPECIFIC HEATS C\MD,T), J/MOl/K

10 MOL/L T t K P,3AR CV,XPT CALCO PCNT

1604 11. 044 300.530 53.651 53.36 51.72 3.C8

1605 ll.il 39 303.509 61.187 53.51 51.92 2.97

1606 11.035 306.501 68.788 53.59 52.15 2.69

1607 11.031 309. 501 76.*23 53.58 52.39 2.22

1608 11.028 312.511 84.114 53.55 52.65 1.68

1609 11.025 315.531 91.342 53.68 52.91 1.43

1610 11.021 318.570 99.602 53.85 53.19 1.23

1611 11.018 321.607 107.366 54.04 53. %6 1.06

1612 11.015 32*. 656 115.207 5k. Ik 53.75 .72

1613 11.012 323.087 124.024 54.44 5k. 17 .68

1105 11.976 290.820 43.78* 51.74 50.22 2.94

1106 11.968 295.076 56.985 51. 6** 50.59 2.04

1107 11.975 231. 35** 45.535 51.62 50.27 2.63

1108 11.967 295.653 58.792 51.73 50.64 2.11

1109 11.959 299.925 72.026 51.98 51.03 1.83

1110 11.954 304.195 85.359 52.14 51.44 1.36

1111 11.948 303.490 93.737 52.37 51.85 1.00

1112 11.943 312.666 111.771 52.65 52.26 .7k

1113 11.938 316.715 124.397 52.99 52.66 .61

111** 11.933 320.765 137.019 53.33 53.07 .49

1115 11.928 324.828 149.671 53.62 53.43 .27

1116 11.923 323.9:7 162.363 54.03 53.83 .26

1006 12.95C 230.688 38.970 49.95 48.90 2.10

1C07 12.941 28*. 835 54.895 1+9.93 49.29 1.27

1008 12.932 283.976 70.752 50.22 49.69 1.06

1009 12.925 293.117 36.663 50.47 50.10 ,7k

1010 12.925 293.453 87.381 50.60 50.13 .93

1G11 12.918 297.602 103.887 50.83 50.55 .56

1012 12.912 301.7*0 119. /' 7 51.20 50.96 .k5

1011+ 12.9CC 310. OH* 151.432 51.71 51.82 -.20

1015 12.394 314.163 167.259 52.22 52.25 -.05

1016 12.868 313.338 183. J35 52.68 52.63 .00

1017 12.882 322.453 198.776 53.17 53.11 .11

1018 12.376 32o.617 214.554 53.56 53.55 .03

908 13.99<+ 270.913 53.060 43.29 47.97 .66

909 13.963 27*. 953 72.359 48.61 48.33 .56

910 13.976 278.996 91.S6C 48.89 48.71 .38

911 13.968 233.030 111.167 *9.18 49.09 .17

912 13.961 237.053 130.467 *9.57 49.49 .17

913 13.954 291.063 149.638 50.00 49.69 .22

914 13.947 295.074 168. o96 5G.34 50.29 .09

915 13.940 299.072 187.645 50.72 50.70 .Oh

916 13.933 303.063 206.517 51.12 51.11 .02

917 13.926 307.053 225.266 51.58 51.53 .10

919 13.918 311. 5j3 246.136 52.00 52. JO -.00

920 13.911 315.497 26%. 759 52.44 52.42 .05

921 13.90* 319. *39 283.3^5 52.84 52.8* .01

922 13.897 323.481 301.646 53.30 53.26 .07

923 13.890 327. *73 32U.314 53.80 53.68 .22

116 14.644 258.973 41.704 *7.20 47.10 .20

117 14.628 265.033 75.079 *7.57 47.58 -.03

106
Table 14. Continued.

ROOER ETHANE SPECIFIC HEATS CV(D,T) , j/MOL/K

10 MOL/L T,K P.3AR CV, XPT CALCj PCNT

118 14.616 27 1. 085 108. t67 48.17 48.10 .14

119 14. 604 277.105 141. -+61 48.61 48.64 -, 07

120 14. 592 233.C:>9 l7<+..ld 49.12 49.21 -.18

121 14.58U 239.1,38 20b. 152 49.76 49.79 -.05

122 14.578 290. C26 211.^66 *9. 8-+ 49.89 -.08

123 14.567 295.963 243.438 50.48 50.48 -.01

124 l<+.555 301.379 27^.397 51.12 51.0 9 .06

125 Ik, 543 3J7.773 3 uo • j 5 2 51.82 51.71 .22

126 14.532 313.655 33 7. t 852.46 52.32 .25

l*i-b 14.647 25 7.5 7 7 33.917 47.20 47.00 .42

147 14.637 260.618 5u.539 47.30 47.23 . 16

143 14.631 263.680 b7,577 47.38 47.47 -.19

149 14. 624 266.736 8<+.,l6 47.74 47.73 .C2

150 14.618 269.783 101.239 47.92 47.99 -.13

151 14.612 272.823 117.960 48.20 48.25 -.10

152 14.606 275.855 134.57s 43.43 48. 53 -.09

508 15. u 39 25 3 .449 79 . 37i 47.15 47.19 -.08

809 15.030 262.^25 163.2^4 47.46 47. 49 -.0;

811 15.035 2o0.C21 68.774 47.20 47.31 -.23

812 15.027 2o h . 5 112.764 47.52 47.62 -.21

613 15.ul6 2o7.97l 136 . 3 o 9 47.97 47.94 .Ofc 814 15. jU9 271.915 159.747 *8.29 48.28 .02

815 15.001 275.845 183.026 48.66 48.63 .Oh

816 14.993 279.768 206.147 49.05 49.00 .11

317 Ik, 964 233. d79 223.936 49.41 49.37 .08

818 It. 976 <i87.579 251. o87 49.75 49.74 .00

819 14.968 291.462 27*. 225 5G.27 50.13 .29

820 14.969 295.349 296.522 50.62 50.52 .21

821 14.949 300.025 323. 33U 51.18 51.00 .36

3C8 16.14u 231.162 35.o66 45.31 44.92 .86

309 16.129 234. 16u 56.042 45.16 45.13 .07

310 16.121 237.158 80.711 45.53 45.35 .39

311 16.113 2<+0.143 103.186 45.79 45.5 7 .4£

312 16.105 243.126 125.439 46.06 45.79 .58

313 16.101 2HH.528 135.331 46.06 45.90 .40

314 lo. 086 250.439 179. :88 46.68 46.34 .72

315 16.071 256.303 222.727 47.34 46.6 1. 13 316 16.056 262.126 265.Ij19 47.92 47.69 .06

317 16.U41 267.928 306.735 48.53 48.34 .40

318 16.029 272.2<to 337.540 48.91 48.70 .43

708 16.914 214.213 29.552 44.89 44.25 1.43

709 16. 398 213.031 63.154 44.88 44.50 .85

710 16.864 221.935 96.708 44.97 44.76 . ^8 711 16.872 225.787 130.375 45.16 45.0 2 .32

712 16.86h 223.^-21 15 3.276 45.31 45.19 .25

713 16.852 232.253 136.272 45.70 45.45 .55

714 16.841 23 6.060 219. j 3 *5.98 45.71 .5c

715 16.830 239.848 251.303 46.36 45.98 .84

716 16.818 2^3. ol2 282.330 46.75 46.24 1.10

717 16.807 247.355 314.275 47.07 46.51 1.20

603 17.990 139.119 26.913 44.55 43.60 2.13

107
Table 14. Continued.

ROGER ETHANE SPECIFIC HEATS Cl/(C»T), J/MOL/K

ID MOL/L T,K P.3AR CVtXPT CALCD PCNT

609 17.974 192.360 61.619 44.21 43.78 .98

61C 17.959 195.613 96.776 44.09 43.96 .29

bll 17.950 198.035 123.238 44.27 44.10 .39

612 17.938 201.281 158. h35 44.50 44.29 .47

613 17.927 2G4.510 193.434 44.71 44.48 .51

614 17.915 207.717 227.542 44.94 44.66 .61

615 17.903 210. 9C7 261.151 45.21 44.85 .79

616 17.892 214.081 294.623 45.46 45.04 .93

617 17.881 217.237 327.615 45.74 45.22 1.14

507 13.916 168.242 58.667 44.19 43. 5U 1.55

520 18.919 166.260 32.769 44.15 43.41 1.67

521 18.901 lo9.533 75.*87 44.21 43.56 1.47

522 18.885 172.795 118.282 44.17 43.70 1.05

523 13.871 176. o53 161.393 44.27 43.86 .93

524 13.857 179. 3G4 203.766 44.43 44. 01 .96

525 18.843 182.531 245.390 44.63 44.16 1.04

5 26 18.830 135.736 286.677 44.83 44.31 1.14

527 13.316 133.925 326.368 45.12 44.47 1.45

4U9 19.657 145.929 15.97(5 44.78 43.57 2.71

414 19.643 148.039 47.809 44.89 43.63 2.79

410 19.643 l-*3.Q6-f 48.265 44.98 43.63 2.98

411 19.624 151.130 94.575 44.41 43.73 1.53

415 19.624 151.151 94.^54 44.39 43.73 1.49

416 19.6G9 15*. 270 143.546 44.48 43.83 1.47

417 19.594 157.366 191.105 4*. 66 43.94 1.62

413 19.579 160.437 237.626 44.84 44.04 1.77

419 19.565 163.435 283. 7o0 44.93 44.15 1.74

420 19.553 165.694 319.23^) 45.10 44. 2 4 1. CA

423 19.043 148.027 47.589 44.78 43.63 2.56

'2'+ 19.62t 151.152 9-r.972 44.52 43.73 1.77

425 19.609 154.267 143.492 44.55 43. 83 1.62

426 19.594 I57.36t 191.069 44.65 43.94 1.61

1810 20.289 131. G83 61.U92 45.99 44.15 3.99

1811 20.270 133.939 110.667 45.15 44.20 2.10

1812 20.254 136.801 161.522 45.23 44.25 2.17

1813 20.239 139.647 211.943 45.25 44.31 2.08

1814 20.224 142.469 261.213 45.40 44.37 2.27

1815 20.209 145.270 309.415 45.46 44.43 2.28

208 20.996 110.494 3o.29c 44.79 45.11 -.71

209 20.981 11 2. 401 74.o51 46.07 45.11 2. 09 210 20.969 114.283 114.167 46.20 45.11 2.37

211 20.957 116.167 153. u89 46.21 45.11 2.37

212 20.944 118.32* 197. n 8 46.28 45.12 2.51

213 20.930 120.762 248.208 46.41 45.13 2.76

214 20.915 123.173 296.666 46.43 45.14 2.78

108
Table 15. Comparison with specific heats, C (p,T), from

(33) Bier, Kunze and Maurer. p

BIER ciTHANt SPECIFIC HEATS CP(P,T>, J/MOL/K

ID P,BAR T.K MOL/L CP CALCO PCNT

33 .000 263.150 0.000 50. +9 50.69 -.39

33 O.uCO 298.150 0.000 52. +7 52. +7 . 00

33 G.GGG 3G5.350 0.000 53.28 53.35 -.12

33 0.000 323.150 0.000 55. + 8 55.56 -.15

33 O.GuO 3+8. 150 0.000 58.16 58.75 -1.02

33 O.GUO 373. 15j . u j 61.16 61.99 -1.36

33 0.0GC 398.150 0.000 6+.59 65.2 + -1. 01

33 0.000 +23.150 0.000 67.78 68. +7 -1.02

33 D. GUI) +73.150 0.000 7+.09 7+.75 -.89

33 l.uuO 283. 150 .0+3 50.88 51.10 -. + 3 33 1.000 298.150 .0 + 1 52.77 52.83 -. 10

33 1.000 305.350 .0 + 53.55 53.68 -.23

33 1.000 323.150 .037 55.75 55.85 -. 17 33 1.000 3+3.150 .035 56.37 53.98 -1.06

53 l.GCC 373.150 .u3d 61.37 62.19 -1.32

33 1.00G 398.150 .030 6+.71 65. + 1 -1. 08

33 1.GG0 .+23.150 .029 67.90 68.61 -1.05

33 1.0C0 +73.150 .025 7+.18 7 + . 86 -.91

33 2.000 283.150 .u«7 51.30 51.52 -.+3

33 2.GG0 298.150 .082 53.13 53.19 -.10

33 2.000 305.350 .080 53.95 5+.02 -.13

33 2.000 323.150 .075 55.99 56.13 -.25

33 2.000 3+8.150 .070 58.58 59.21 -1.09

33 2. Q00 373.150 .065 61.58 62.37 -1.28

33 2.000 398.150 .061 6+.S6 65.56 -1. 08

Z5 2.000 +23.150 .057 68.02 68.7 + -1.07

33 2.000 +73.150 .051 7 + .27 7+.96 -.93

33 5.000 233.150 .223 52.80 52.96 -.33

33 5.000 298.150 .210 5 + .+3 5 + .39 . 08

33 5.000 305.350 .<iC<+ 55.09 55.12 -.06

33 5.000 323.150 .192 56.95 57.0 + -. 16

33 5. CCO 3+8.150 .177 59.33 59.93 -1.02

33 5.000 373.150 .16 + 62.21 62.96 -1.20

33 5.000 398.150 .153 65.31 66.05 -1.13

33 5.000 +23.150 .1 + + 68. +1 69.15 -1.08

33 5.000 +73.150 .128 7 + .63 75.26 -.8 + 33 10.000 283.150 . + 69 56.02 56.07 -.08

33 10.000 298.150 . + 38 56.95 56.8 + .20

33 10.000 305.350 . + 25 57.25 57.3 + -.15

33 10. GOO 323.150 .396 58.79 58.81 -.0+

33 10. GOG 3+3.150 .363 60.68 61.28 -.9a

33 10.000 373.150 .335 63.36 6+.02 -1.0 + 33 10. 000 398.150 .311 66.09 66.91 -1.23
Table 15. Continued.

BIER ETHANE SPECIFIC HEATS CP(P,T), J/MOL/K

10 P,BAR T,K MOL/L CP CALCO PCNT

33 10.000 423.150 .291 69.22 69.86 -.92

33 10.00G 473.150 .256 75.18 75.77 -.79

33 23.000 283.150 1.075 67.45 67.37 .11

33 23.00G 298.150 .973 64.68 64.49 .30

33 20.uOU 305.350 .^33 63.99 63.89 .15

33 20.000 323.150 .352 63.54 63.57 -.04

33 20.000 3V3.150 .765 63.99 64.60 -.95

33 20.0 00 373.150 .697 65.91 66.49 -.88

33 20.000 398.150 • o42 68.05 68. 8h -1.16

33 20.000 423.150 .597 70.78 71.42 -.89

33 20.000 473.150 .524 76.26 76.65 -. 78

33 33.000 298. 15G 1.589 81.64 81.28 .44

33 30.00G 305.350 1.584 76.86 76.46 .52

33 30.000 323.150 1.395 70.84 70.99 -.20

33 30.0 00 3 '8.150 1.218 68.50 69.04 -.80

33 30.0CO 373.150 1.092 60.92 69.54 -.90

33 30.UU0 398.150 .996 70.27 71.09 -1.16

33 30.00G 423.150 .918 72.53 73.16 -.87

33 30.000 473.150 .799 77.31 78.00 -.89

33 32.000 323.153 1.51b 72.98 72.99 -.02

33 35.000 473.150 .939 77.94 78.63 -.85

33 36.000 373.150 1.347 70.78 71.70 -1.30

33 39.000 298.150 2 . 1 7 153.57 144.14 6.14

33 40.000 305.350 2.555 114.69 112.39 2.00

33 4'J.OOG 323.150 2.08u 84.62 64.08 .64

33 40.000 348. 15J 1.738 74.78 75.21 -.57

33 tO.OGO 373.150 1.52o 72.41 73. 31 -1.25

33 40.000 398.150 1.373 72.83 73.70 -1.19

33 to.oco 423.150 1.255 74.45 75.10 -.87

33 43.000 473.150 1.081 78.54 79.23 -.87

33 <+b. JCO 305.350 3.580 276.43 229.59 16.94

33 <td. 800 307.150 <+.362 401.61 372.36 7.28

33 48.800 313.150 3.'*63 157.99 156.36 1. C3 33 48.800 316.150 3.244 134.41 133.40 .75

33 48.8GG 323.150 2.897 108.07 107.80 . 25 33 43.800 3*8.150 2.2/1 82.06 82. 8o -.97

33 48.800 373.150 1.946 76.59 77.40 -1.06

33 48.800 393.150 1.723 75.36 76.34 -1.31

33 48.800 423.150 1.567 76.11 76.99 -1.16

33 48.800 <+73.153 1.336 79.57 80.36 -1.00

33 52.000 305.350 9.^88 273.85 290.58 -6.11

33 60. 000 305.350 10.O47 162.62 169.00 -3.92

33 60.u00 309.150 J.DJO 2C4.30 223.12 -9.22

33 6 0.000 313.150 8.302 341.87 392.90 -14.93

110
Table 15. Continued,

BIER £THANE SFECIFIC HEATS CP(P,T), J/MOL/K

ID P,.BAR T,K MOL/L CP CALCO PGNT

33 60,.000 31*+.c5 7.-71 h27.54 4h3. 35 -3.70

33 60. Li 00 316.150 6 .o79 458.33 416.84 9.05

33 60.> 00 317.150 b.227 429.55 364. 07 10.59

33 too .0 00 319.15b 5.523 326.35 305.45 6.40

33 6a..000 323.150 *.o83 206.76 203.58 1.54

33 60.,000 3^3.150 3.39* 96.40 97.48 -1.11

33 60.,0CG 3 7 3.150 2.541 32.99 83.92 -1.12

33 60..000 395.150 2.213 79.29 eo.22 -1.17

33 60,uuD *23 .15 j 1.933 78.72 79.64 -1.16

33 60 .000 ^73.150 1.670 81.07 81.87 -.99

33 63, GCL 323.150 5.<+56 258.96 250.03 3.45

33 66,.000 323.150 6.319 296.58 273.15 7.90

33 66..0 00 323. 15u 6.871 288.07 268.96 6. tZ 33 7t .000 305.350 11.253 133.00 136. 14 -2.36

33 70..000 313.15 Ij.028 168.60 178.14 -5.66

33 70.,000 316.150 9.331 198.01 209.31 -5.71

33 73. 000 323. 15J 6.264 243.24 258.78 -6. 29 33 70..000 32 3.150 7.378 272.70 262.38 3.78

33 70..000 325.150 6.831 266.66 247.63 7.14

33 70,,000 329.150 5.93 9 225.40 215.12 4.56

33 70,,000 339.150 <*.o33 141.18 144.71 -2.50

33 70., 000 3^6.15 j 4 . G 1

115.38 117. Ou -1.40

33 70 .000 373.150 3.141 90.15 91.17 -1.13

33 7^i,.000 398.150 2.680 82.96 84.20 -1.49

33 7u ,000 H23.150 2.375 31.13 32.23 -1# 35 33 7\j, ,cu 473.150 1.976 32.36 63.29 -1.12

33 60 ,000 30 5. 350 11.664 120.61 121.80 -.98

33 8j .000 323.150 9.097 180.39 187.15 -3. 75 33 80., 000 329.150 7.844 198.88 203.42 -2.28

33 30 ,000 339.150 6.115 176.96 170.60 3.59

33 80 uOO 3 <«-. 15-0 5.137 138.89 138.75 .10

33 80 .000 373.150 3.810 98.18 99.57 -1.42

33 80,.000 398.150 3.179 87.17 88.59 -1.63

33 3 ,000 <+2 3. 150 2.731* 83.56 85.00 -1.72

33 60 ,u00 <+73.15u 2. £89 83.74 64. 75 -1. £0

33 92 .000 3*8. 15~ 6.541 152.33 148.65 2.42

33 100 , uOO 30 5.350 12.2*c 106.12 107.77 -1.55

33 100 ,000 323.150 10.545 126.35 130. G2 -2.90

33 100 . JOC 34 3.150 7.363 149.48 147.26 1.47

33 10 0..000 37 3.15 J 5.300" 114.27 114.71 -.39

33 ICO .000 398.15 <+ . It Z 96.43 97. 1

-1. 28

33 100 .000 423.150 3.651 89.07 90.78 -1.92

33 100,.000 473.150 2.932 36.69 87.74 -1.20

111
Table 16. Comparison with specific heats, C (p,T), from

A. Furtado. |J

FURTADO ETHANE CP{P,T) AT P = 0.000 BAR

T,K MOL/L J/MOL/K CALCO PCNT

99.81? 0.000 35.86 35.72 .37

110.928 0,,090 36. 49 36.3* .41

113.372 a .000 36. 96 36.76 .59

122.039 ,U00 37. 2* 36.97 .73

133. 150 o..000 37 .99 37.61 1.00

1**.261 .0 00 38. 7* 38.28 1.19

155.372 0..000 39, 25 38.93 .69

166. *63 > C *0< o2 39.72 .7*

177. 59* .000 *0 .77 *0.51 .6*

18o.872 0,i C 00 *1. 39 •1.21 .43

188.706 .000 *1,,65 41.35 .72

199.817 (1 00 *2 53 42.2* .67

210.928 tiiUU *3, 52 *3.20 .7*

222.039 .000 4* ,53 4*. 21 .73

233.150 C GO *5 55 *5.27 .60

2*1.761 0..000 *6, 43 *6.1* .62

2**. 261 0..000 *6, o7 *6.39 .59

255.372 J,.000 *7.,93 -7.56 .76

266. -.83 0..000 *9. 20 *8.78 .85

277.59* .0 00 50 ,*6 50.0* .82

252.706 J .000 50

96 50.63 .65

288.706 .000 51 71 51.3* ,7Z

299.817 ,000 52, 84 52.67 .31

3 05.261 .coo 53 .21 53.3* -.23

310.926 .000 53. 35 5*. 03 -.3*

322. u39 .0 uO 55 24 55. *2 -.33

32*. 817 ,000 55. 61 55.77 -.29

333.150 ,000 5& ,62 56.83 -.36

3**. 261 .000 58 .12 58.25 -.22

355.372 ,0 00 60. 15 59.68 .77

366.1.63 .0 00 61 65 61.12 .65

366.817 3 ,000 61 ,78 61.17 .99

377. 59* .000 c.3 , 1? 62.57 .9*

386.706 ,G00 6* ,53 6*. 02 • 60

399.017 o,,000 65 .61 65. *6 .53

410.928 .000 66 ,56 66.90 -.51

•22.039 .000 67 81 68.33 -.76

FURTAOU ETHANE CP(P,T) AT F = 17.237 BAR

T,K MOL/L J/MOL/K CALCO PCNT

99.817 21.357 o8.*5 68.33 .17

110.926 20.953 68.c9 68.63 .10

115.372 20.682 68. 53 63.80 .03

122.039 20.5*7 ob. 9* 68.90 .06

133.150 20.137 69. 2u 69.2* -.05

1*^.261 19.722 c9.62 o9.70 .16

155.372 19.301 70. 70 70.33 .52

166. *83 13.571 71. *7 71.1* .*6

177.59* 16.*30 72. *6 72.16 .*1

186.872 18.051 73.34 73.20 .20

138.706 17. 97 4 7 3.-7 73. *3 .07

199.817 17,,502 7*. 99 74.98 .02

112
Table 16. Continued.

210.928 17.CC6 76.75 7o.89 -. 13

222.039 16.481 78. 89 79.29 -.51

233.150 15.917 32.02 82.37 -.42

241.761 15.444 85. 3u 85.t*5 -.17

244.261 15.299 85. 9<+ 86.50 -.66

249.817 14. 9^2 89. 33 89.19 .16

252.594 14.785 91. 34 90.76 .6-+ 255.372 m.6ji *4. 11 92.51 1.70

258.150 14.409 98. 7o 95.15 3.65

260.928 1.053 74. 35 71.58 3.74

262.59<+ 1.037 72.72 70.29 3.35

265.372 1.011 70.21 68.54 2.38

266.483 1.002 69. 44 67.95 2.15

277.594 .921 65.17 64.18 1.52

282.706 .890 64.05 63.23 1.27

238.706 .357 63.28 62.49 1.25

299.617 .6o5 62.40 61.81 .9^

305.261 .783 D2.15 61.71 .72

310.926 .761 62.02 61.72 .49

322.039 .723 62.28 62.01 .44

324.317 .714 62.40 62.12 .44

333.150 .689 62.77 62.56 .34

344.261 .659 6 3.6b 63.29 .57

355.372 .632 64.53 64.16 .57

366.483 .603 o5.30 65.14 .25

366.817 .607 65. 41 65.17 .33

377.594 .585 66.18 66.19 -.01

FURTAUO ETHANE CP(P,T) AT P = 28.269 BAR

T,K MOL/L J/MOL/K CALCO PCNT

277.594 12.988 115.37 114.59 .67

278.706 12.873 116.13 117.07 -.81

279.317 12. 75* 118.65 119.88 -1.04

FURTAOO ETHANE CP(P,T) AT P = 34.47'* BAR

T,K MOL/L J/MOL/K CALCO PCNT

233.150 16.032 81.78 81.22 .69

241.761 15.581 84.42 83.86 .66

244.261 15.4h4 35. 30 94.74 .65

255.372 14.792 69.20 89.57 -.41

266.483 14.046 96.88 97.35 -.48

277.594 13.137 109.70 110.07 -.33

282.706 12.620 119.26 120.71 -1.21

235.928 12.233 126.82 131.31 -1.93

2 87.5 94 I2.ul3 136. 38 139.10 -1.62

288.706 11.850 1**2.81 145.77 -2.08

290.372 2.428 131.60 133.24 -1.25

291. ^93 2.373 122.28 124.61 -1.90

292.594 2.323 115.63 117.93 -1. 39

294.261 2.257 107.19 110.26 -2.86

297.0.J9 2.164 9 8.52 101.27 -2.79

299.817 2.085 98.38 95.04 3.40

305.261 1.959 d7. 0b 67.05 .02

310.928 1.853 32. 28 81.90 .46

322.039 1.D93 76.25 76.20 . Oo

32h.817 1.659 75.61 75.30 .41

113
Table 16. Continued.

333. 150 1.5 70 73.72 73.32 .54

34h.261 1.472 7 2.22 71.85 .51

355.372 1.389 71.47 71.19 .40

366.<+83 1.319 71.47 71.04 .60

366. 317 1.317 71. h7 71.04 .60

FURIA uO ETHANE CP(P,T) AT 3 = 41. 369 BAR

T,K ilOL/L J/MOL/K CALCD PCNT

262.706 12.613 111.61; 114.18 -2.32

283.706 12.150 129.59 129.92 -.25

294.261 11.326 161. 06 163.70 -1.2b

295.928 10.994 179.28 186.22 -3.87

297.039 10.727 195.pl 211.22 -8.32

298.706 3.2^7 22 o . 3 u 212.03 3.97

299.817 3.125 189.98 181.20 4.63

299.31? 3.125 189. 6? 181.20 4.56

300. 650 3.049 168.60 165.94 1.53

301.206 3 . J 3 157.76 157.93 -.10

302.594 2.90 3 137.89 142.72 -3.50

305.261 2.749 122.41 124.23 -1.48

310.926 2.512 104. 63 104.03 .63

322.039 2.213 39.20 87.64 1.75

324.317 2.156 86.93 85.38 1.78

FURTAOO ETHANE CP(P,T) AT ? = 46. 673 BAR

T,K MOL/L J/MOl/K CALCD PCNT

296.428 10.917 174. 36 179.57 -2.68

299.317 10.602 198.79 204.66 -2.95

300.650 10.379 221.43 228.19 -3.05

301.206 10.209 240.31 250.70 -4.32

302.039 9.90 2 279. 31 305.73 -9.46

302.594 9.640 32u.83 376.35 -17.31

302.872 9.^77 352.23 438.30 -24.42

303.150 9.275 401.35 546.26 -36.11

303.963 4.277 426.25 464.43 -9.21

304.261 4.178 352. 26 399.59 -13.43

305.261 3.922 299.'.'+ 284.31 5.05

305.372 3.900 293.15 276.69 5.61

305.928 3.798 261.69 245.94 6.02

306.761 3.670 223.95 214.56 4.19

308.150 3.502 184.94 181.93 1.63

309.539 3.367 lb2.30 161.39 .56

310.928 3.255 148.47 147.11 .91

310.928 3.255 146. 84 147.11 1.16

313.706 3. 074 130.85 128.37 1.90

316.483 2.930 120.28 116.49 3.15

322.039 2.709 119.02 102.19 14.14

324.017 2.620 97. 36 97.55 .3*

FURTADO ETHANE CP(P,T) AT P = 49. 160 BAR

T,K MOL/L J/MOL/K CALCD PCNT

282.706 13.002 106.07 108.90 -2.67

233. 150 12.962 10 6. 69 109.54 -2.67

286.706 12.416 119.15 119.63 -.40

294.261 11.751 135. 5C 137.12 -1.20

297.039 11.342 149.06 152.45 -2.26

114
Table 16. Continued.

298.261 11.136 156. 6* 162.16 -3.53

299.817 10.639 17 7.39 17 9.34 -.61

300.928 10.595 193.13 197.29 -2.16

302.039 1 J. 310 2 1 7 . * 224.33 -3.19

302.594 I0.1*b c:3i.2* 2*3.96 -5.50

303.150 3.960 2*6. * 8 270.93 -9.92

303.706 9.74* 2 7 -> . * 310.68 -13.22

304.261 9.481 566. 16 376.23 33.54

3o*. 817 9.133 b^l.97 511.01 26.15

305.261 6 .71j 10 06.50 817.38 18.79

305.261 8.710 1132.32 817.38 27.81

306.463 4. 905 553.56 713.00 -28.60

307.039 H.bO* *sd. 15 475.27 2.b4

307.594 4.hL2 375.56 372.4* . 83

308. 15C 4.2*8 332.39 313.42 5.71

309.261 t.Olo 261. 63 2*7.07 5.6 4 310.928 3.768 200. 05 196.72 1.66

313.706 3.*33 156. 1* 156.03 1.34

316.463 Z.Z77 135. 5u 134.66 .61

322.039 2.93* 106. 82 112.18 -3. 03

32^.817 2.872 101.91 105.49 -3.52

3 2 7.594 2.774 102.5* 100.40 2.0 9 333.150 2.611 95.37 93.19 2.23

FURTADC ETHANE CF(P,T) AT P = 51. 711 BAR

T,K MOL/L J/NOL/K CALCD PCNT

322.039 3.308 12p. 31 125.97 -.13

32*. 817 3.162 116. 88 115.98 ,77

333.150 2.838 99.26 98.88 .38

3>+*.261 2.5^3 83.62 88.29 .61

355.372 2.338 8 3.03 82.96 .09

366.483 2.176 79.27 60.03 -.97

366.817 2.171 79.13 79.97 -1.06

377.594 2.0*3 76.7? 78.41 -2.16

FURTADC) ETHANE CF(P.T) AT P = 56. *63 BAR

T,K MOL/L J/MOL/K CALCO PCNT

310.372 8.505 h06.89 456.84 -11.73

310.650 8.323 U44.12 *96.21 -11.73

310.928 8.124 483.13 536.74 -11.10

311.206 7.911 53b. 92 574.01 -8.12

311.483 7.6o9 577.48 602.16 -4.27

311.761 7.*60 626.55 616. 85 1.55

312.039 7.232 666.81 617.46 7.40

312.150 7.143 630.65 614.49 9.72

312.261 7.055 689. 46 610.18 11.50

312.428 6.925 693.22 601.93 13.17

312. 59h o . 8 00 o9*. ttt 4*9.55 35.27

312.706 6.718 693. 22 591.17 14.72

312.817 6.638 691.97 564.44 15.54

312.928 6.560 679.39 577.29 15.03

313.150 6.408 644. 15 561.41 12.85

313.428 6.230 595.10 538.36 9.54

313.706 6.063 552.31 512.46 7.ZZ

313.983 5.910 514.5c 485.13 5.72

31*. 261 5.768 *35.64 457.55 5.78

FURTADG ETHANE CP(PtT) AT = = 68.948 BAR

T»K MOL/L J/MOL/K CALCD PCNT

115
Table 16. Continued.

110.928

118.372

122.039

133. 15G

14-+. 261

155.372

166. 483

177.591+

186.872

188.706

199.817

210.928

222.339

233.150

241.761

244.261

255.372

266.483

277.594

282.706

285.706

299.817

305.261

310.928

3m. 261

316.463

317.594

319.261

320.372

320.928

322.039

322.706

323.706

324.817

324.617

325.372

32o.*t83

327.591+

330.372

333. 15G

335.928

338.706

344.261

355.372

366. 463

oo6.817

21.02b

2 0.7 59

2U.623

20.223

19.82<+

19.415

19.000

18.577

18.215

18.143

17.696

17.233

16.750

16.2^1

15.825

15.700

15.117

14.477

13.75 7 13i389

12.916

11.866

11.213

10.349

9.637

9.1<»6

8.839

tt.33i+

7.980

7.301

7.451

7. 2*8

6.959

6.660

6 . 66 v 5.520

6.256

6.014

3.5.3

5.1:2

*.78i+

h.127

3. 594

3. 2

<+G 3.231

66.56

6a. 69

68. 63

69.07

69.71

7G.46

71.21

71. 84

72. k 6 73.23

73. 98

7 5.37

77. GG

79.27

81.14

32.41

65.66

89. nfa 95.7«+

98.89

104. 93

111. 8^

137. 15

158. 53

176.39

2 Jii. 16

222. 69

Zz-+.Z7

27G.62

277. 60

2 8*.. 97

28p.59

285.22

231.63

2b c. 2 l 277.16

2>d. 30

240. 93

20 l . 55

17b. 51

158.91

1h3.69

123.25

1 ut. 42

94. <+q 94. 2-

68.1*5

68.59

68.67

68.95

69.35

69.89

70.58

71.1+5

72.32

72.51

73.79

75.32

77.15

79.35

81.1+0

82.06

85.1+8

90.53

96.66

100.1+1

106.00

122.85

137 .98

166.68

197.11+

226.51

21+3.22

2o5.85

274.74

276.36

27h.15

27C.06

261.81

251+.37

251+.37

21+9.22

238.1+5

227.11

196.91+

175.06

156.59

11+2.59

123.55

103.61

93.91

93.70

.17

.15

.23

.17

.51

.61

.83

.55

.19

.98

.26

.G7

-.19

-.11

-.32

.i+3 .23

-1.19

-.96

-1.51+

-1.03

-9.84

-.61

-5.11+

-11.76

-13.16

-9.22

-1+.55

-1.52

.51

3. 60

5 . 1+* 8.21

9.7i+

9.66

10. 08

7.68

5.71+

. 6 .82

1.1+5

.76

-.20

.78

.61

.57

FURTAOC ETHANE CF(P.T) AT P = 36.134 BAR

T,K

282.706

238.7Gb

299.817

3 5.261

310.928

316. -+83 322.039

HOL/L

1 3 . 60

13.241+

12.371

11.87a

11.298

10 ,6»+l

9.366

J/MGL/K

94. 86

9 3.o9

106. 21

114. 62

123. 42

13*. 61

149. 97

CALCO

95.85

99.67

1G5.34

116.05

125.38

138. 03

155.37

PCNT

-1.04

-.79

-1. 05

-1.25

-1.58

-2. 54

-3.61

116
Table 16. Continued.

32*. 617 9.426 loC. 16 lb5.39 -3.26

327.594 8.952 168. 20 174.72 -3.83

33u. 372 8.456 176.13 182.94 -3.67

333. 15ii 7.959 lou. 54 183.61 -1.70

33<+.817 7.67j 161. 17 181.46 -.16

337.039 7.30^ 150. 29 176.53 2. 08

338.70b 7.053 177.65 172.04 3.16

341. 4b3 6.658 170. 23 164.36 3.45

34<+.261 D i u j b 161. 79 156.94 3.00

349.817 5.711 140. *7 142.53 4.00

355.372 5.2,0 134. 00 129.86 3.07

366.1+83 4.556 114. 2u 111.94 2. 01

366.817 4.5*;, 113. 9b 111.53 2.14

3 7 7.594 4.086 101.66 101.33 .32

FURTA CO ETHANE CP(P,f) AT P = 103.421 BAR

T,K MOL/L J/MCl/K CALCD PCNT

241.761 1 6. C 40 79.D4 7 9.57 .09

244.261 15.924 80.15 30.10 • 6 255.372 15.390 32.7 9 82.73 .03

2o6.483 14.818 35. 9"+ 86.51 -.67

277.594 14.197 89. 64 90.45 -. 68

282. 7u6 13.892 91. 3<* 92.60 -.82

288. 7Cb 13.515 9*. 73 95. *7 -.73

299.817 12.749 101.66 102.08 -.41

305.261 12.333 105.63 106.15 - . h5

31J.926 11.666 110.34 111.20 -.73

316. *83 11.367 115.63 117.15 -1.31

322.039 10.813 122.17 12*. 28 -1.73

324.817 10.523 126.44 126.29 -1.46

327.594 1Q.214 129.97 132.53 -1.97

333.150 9.552 137.89 1*2.77 -3.53

338. 7C6 8.8*8 144.81 1*8 .47 -2.53

344.261 3.145 150.65 148.77 1^38

3*i+.928 8.063 151.73 143. 4C 2.19

345.926 7.9*2 151. 4c 147.70 2.50

348.l5u 7.680 151.11 145.62 3.63

349.817 7.491 1-9. 22 Il+3.72 3.68

352.594 7.194 144. 81 140.18 3.20

355.372 b.917 14u . 9

1

136. 50 3.13

360.928 b.*2 j 132.35 129.58 2.09

366. *83 5.993 126. 82 123.19 2.8o

366.817 5.969 126.44 122.82 2.66

377.594 5.309 116.75 112.17 3.93

FURTADO ETHANE CP(P,T) AT P = 120. o58 BAR

T,K MOL/L J/MOL/K CALCD PCNT

324.817 11.183 113.73 113.63 . 09

333.150 10. *»3h 12 j . 2c 122.53 -1. 8S

338.706 9.699 124. 68 126. 80 -1.70

3**. 261 9.344 129.70 130.20 -.3 3 3^7. 039 9.063 131.60 131.25 .26

349.817 8.783 132. 7* 131.73 .76

351.761 8.590 133.12 131.69 1. 07

352.317 8.535 133.23 131.62 1.21

355.372 8.239 132.3; 130.82 1.15

117
Table 16. Continued.

35-8. 15u 7.979 13u. 34 129.54 .62

360. 928 7.730 128.34 127.86 .37

366. h83 7.2c? 12*. 04 123.84 .17

366.817 7.2h0 123. 30 123.58 .17

377.59'* 6.4S2 117.26 115.67 1.16

FURTA 00 ETHANE CP(P.T) AT P = 137.895 BAR

T,K MOL/L J/MOL/K CALCO PCNT

110.928 21.119 63. 19 68.23 -.07

118.372 20.859 66. 45 68.35 .15

122.039 20.731 66.56 68.40 *Z3

133.150 20.3w3 08. 94 68*62 .45

144.261 19.952 69. 44 6 3.94 .72

155.372 19.553 70. ue 69.38 . 39

166.463 19.161 70.59 69.96 .89

177.594 18.758 71. 09 70.68 .56

186.872 18.416 71.58 71.39 .17

13 3.706 13.3<+7 71.71 71.54 .23

199.617 17.92b 72. 72 72.57 .21

210.928 17.499 73.96 73.77 .29

222.039 17.057 7-J.37 75.15 .29

233.150 16.60G 77. 13 76.74 .50

241.761 16.233 7c. d3 76.14 .62

24*. 261 16.124 79.00 73.58 .53

255.372 15.62o 81. lu 80.72 .52

266.483 15.102 83.1+1 83.80 -.47

277.594 14.547 3b. 31 36.69 -.43

282.706 14.279 67. 7w 88.19 -.56

288.706 13.953 89.; i 90.09 -.43

299.817 .13.314 92.97 94.09 -1.20

305.261 12.931 -i

. 3d 96.28 -i.5a

310.926 12.62J 97.88 98.76 -.90

322.039 11.862 103. 80 104.19 -.38

32-+. 817 11.662 105.1+3 105.67 -.22

333.150 11.033 110.45 112.09 -1.43

344.261 10.136 116. 62 117.46 -.72

355.372 9.200 12;j. 23 120.93 -.54

366.483 3.29t 12 0. 65 120.05 .50

366.817 8 .269 118.38 119.95 -1.33

377.594 7.491 112.61 115.59 -2.65

118
Table 17. Comparison with speeds of sound, W<j(T) , from

(1) Poole and Aziz; (2) Vangeel; (9) Tsumura.

SPEEO OF SOUND, SAT.LIQ. h THANE, METERS/SEC.

(DP00LE/A2IZ, <2)VAN G£ EL, (3JTSJMJRA.

10 T,K P,BAR MOL/L W,XPT CALCD PCNT

1 90.183 .000 2 1 . c 8

1

1994.8 2039.8 -2.25

9 90.350 .000 21.680 2006.9 2033.6 -1.58

9 91. 000 • Cut] 21.656 2002.4 2033.9 -1.57

1 92.955 • 000 21.585 1977.3 2019.6 -2.14

9 95."ODD .000 21.511 1975.3 2004.3 -1.47

2 95.500 .0 00 21.492 1963.0 2000.6 -1.92

1 98.723 .000 21.375 1933.6 1976.1 -2.20

2 99.700 . 0G 3 21.339 1934.0 1968.6 -1.79

9 100. 000 .000 21.328 1939.6 1966.3 -1.38

1 100.153 .000 21.323 1921.9 1965.1 -2.25

1 103.151 .0 00 21.213 1904.5 1941.9 -1.96

2 1J4.67G . u u w 21.151 189£.5 1928.5 -1.56

9 105. 0CC • GOD 21.146 1903.7 1927.4 -1.25

1 108.298 .001 21.025 1867.2 1901.5 -1.84

2 109.800 .001 20.970 1862.0 1889.6 -1. 48

9 110. 000 .001 20.963 1867.4 1888.0 -1.10

1 111.524 .001 2 J

ju 7 1644.4 1875.9 -1.71

1 114.943 .002 20.781 1818.0 1848.7 -1.69

2 114.970 .0j2 20./ 80 1826.2 1848.5 -1.22

9 115.000 .002 20.779 1831.2 1848.2 -.93

2 115.010 .0 02 2u.77^ 1327.0 1848.1 -1.16

2 119. 70C . j 3 2 j . 60 6 1795.0 1810.7 -.87

9 120. 000 .0 04 2C.595 1794.9 1808.3 -.74

1 121.008 .004 20.558 1774.6 1800.2 -1. 44

9 125.000 .0 07 20.410 1759.0 1763.2 -.53

2 125.490 • J7 2u . 392 1752.8 1764.3 -.66

1 127. 247 .009 20.326 1730.4 1750.3 -1. 15

9 130.000 .013 2u.224 1722.8 1723.2 -.32

2 130.110 .013 20.220 1721.0 1727.4 -.37

1 132.325 .017 2-.137 1693.8 1709.7 -.94

1 134.090 .021 20. -71 1682.6 1695.6 -. 77

2 134. 89C .0 22 20.041 1685.0 1689.2 -.25

9 135.000 .023 20.037 1665.9 1688.3 -.15

2 139.470 .036 19.869 1652.1 1652.8 -.04

1 139.907 • 3o 19.352 1635.7 1649.3 -.55

9 140.0 00 .033 19.849 1649.4 1648.6 . C5 9 145.000 .Uo2 19.659 1612.7 1609.0 .23

2 145. 08C .062 19.656 1608.0 1608.3 -.02

1 147.123 .075 19.579 1567.7 1592.2 -.28

1 147.821 • 8 w 19.552 1583.4 1536.7 -.21

119
Table 17. Continued.

SPEED OF SOUND, SAT.LIQ. ETHANE, PETERS/SEC.

(DPOOLE/AZIZ, (2)VAN GEEL, (3)TSUMURA.

10 T,K P ,8AR MOL/L W,XPT CALCD PCNT

9 150. QOO .097 19.469 1575.5 1569.5 .38

2 151.260 .108 19.<+19 1565.7 1559.5 .40

1 154.047 .135 19.313 1536.7 1537.8 -.07

9 155.000 .1*6 19.27o 1538.3 1530.3 .52

2 155.940 .157 19.240 1531.2 1523.0 .54

1 159.772 .211 19.091 1494.7 1493.0 .11

9 16 • GG .215 19.-82 1501.1 1491.3 .66

2 161.250 .235 19.033 1491.2 1481.5 .65

2 161.260 .235 19.032 1491.4 1481.4 .67

2 164.660 .304 13.391 1464.0 1453.5 .72

2 164.890 .305 16.850 1463.1 l<+53.2 .67

9 165. OCC .307 13.365 1463.6 1452.4 .77

1 165.519 .313 18.365 1*53.2 1448.4 . 33

1 168.945 .400 18.729 1430.5 1421.8 .61

2 169. 340 .425 18.693 1426.5 1414.9 .81

9 170.000 .429 18.d37 1426.0 1413.7 .86

i 174.260 .561 18.515 1391.7 1380.8 .78

2 174.590 .572 16.502 1391.0 1378.3 .92

9 175.000 .567 13.485 1386.1 1375.1 .94

1 177.140 .667 15.3:39 1368.6 1358.6 .73

2 179.850 .731 18.288 135C.9 1337.8 .97

9 180.000 .787 18.282 1350.3 1336.7 1.01

1 180.458 .808 18.263 1343.2 1333.1 .75

1 183.076 .935 16.155 1325.4 1313.1 .93

1 184.571 1 .015 18.-93 1312.9 1301.6 .86

2 18*. 670 1 .020 18.U89 1316.2 1300.8 1.17

9 135. 000 1 .038 18.075 1312.1 1298.3 1.05

1 188.832 1 .269 17.914 1230.3 1269.0 .88

2 169.710 1 .323 17.677 1276.1 1262.3 1.08

9 190.000 1 .347 17.565 1273.6 1260.0 1.06

9 195. 000 1 .723 17.c51 1235.0 1221.8 1.07

2 195.090 1 .7Z\} 17.647 1234.3 1221.1 1. 07

1 198.761 2 .056 17. + 37 1202.2 1192.9 .77

2 199.640 2 .139 17.*49 1199.1 1186.3 1. 07

9 200.000 2 .17* 17.*33 1196.0 1183.6 1.04

2 20*. +20 2 • 6*3 17.2 37 1160.2 1149.7 .90

9 205.000 2 .710 17.211 1156.9 1145.3 1.00

9 210. 0G0 3 .340 lo.984 1117.4 1107.0 .93

2 210. 310 3 .382 16.96 9 1115.1 1104.6 .94

2 214. 56C * .005 1 c . / 7 2 1081.5 1071.9 .89

9 215.000 4 .074 16.751 1077.7 1068.5 .85

120
Table 17. Continued.

SPEEO OF SOUND, SAT.LIQ. ETHANE, METERS/SEC.

(DPOOLE/AZIZ, (2)VAN GEEL , (3)TSUMURA.

10 T,K P.BAR MOL/L W,XPT CALCD PCNT

9 220. OGG 4.922 lb ,512 1037.7 1029.9 .75

2 22Q.100 4.940 16 ,508 1036.4 1029.1 .70

2 224.960 5.887 lo .269 996.8 991.4 .54

9 225. oOO 5.895 16 ,267 997.3 991.1 .62

2 229.930 6.9b7 16 .018 956.1 952.5 .58

9 23Q.0CC 7.0u4 16 ,014 956.5 952.0 .47

2 234.910 8.235 15 ,/5 8 916.4 913.3 .34

9 235.000 8.259 15 ,753 915.3 912.6 .30

2 239.900 9.641 15 .488 375.3 873.5 .20

9 2<*0. JOG 9.670 15 ,483 873.6 872.7 .10

2 244. 9bC 11.238 15 ,204 831.4 832.7 -.16

2 2 44. 7 SO 11.168 15, 216 832.5 834.4 -.23

9 245.000 11.251 15,,201 331.3 832.4 -.13

9 250.000 13.011 1<+. 90 6 788.5 791.5 -.38

2 250.220 13.C93 14,,894 787.7 789.7 -.26

9 255.000 14.96<+ 14 ,oOG 745.0 750.0 -.67

2 255.110 15.009 14 ,b93 744.6 749.0 -.60

2 259.930 17.090 14, 2S0 700.0 705.7 -.82

9 260. OCC 17.121 14 ,275 700.7 705.1 -.63

2 264.970 19.481 13,,932 655.5 662.3 -1. C4

9 265.000 19.496 13 ,930 655.4 662.1 -1.02

2 269.920 22.057 13 ,568 609.7 618.6 -1.45

9 270.000 22.1G1 13 ,562 609.0 617.8 -1.45

2 274. 17C 24.460 13 ,232 569.6 579.9 -1.81

9 275.000 2*. 951 13 ,164 561.1 572.2 -1.98

9 280. 000 28.062 12,,723 511.5 524.9 -2. ei

2 280.050 28.095 12 .723 509.4 524.4 -2.94

9 285. 00G 31.452 12 ,240 459.4 475.4 -3.48

2 285.150 31.559 12 ,225 459.0 473.9 -3.24

2 288.570 34.055 11 ,350 423.8 438.3 -3.43

9 290.000 35.142 11 ,o80 404.2 423.0 -4.65

9 295.000 39.159 11 ,Ju3 343.9 366.3 -6.50

9 295.397 39.493 10..942 339.0 361.5 -6.64

9 296.000 40.G04 10 .84c 331.1 354.2 -6.97

9 297.000 40.865 10 .679 317.8 341.3 -7,54

9 296.000 41.741 10 ,500 304.0 328.9 -8.21

9 299.000 42.632 10 ,306 289.6 315.7 -9.00

121
Table 18. Comparison with speeds of sound, W(p,T), from

(3) Terres et al

TERReS ETHANE SPEEO OF SOUND, METERS/SEC.

WtXPT

308.5

3G2.9

294.8

285.2

274.5

263.0

249.0

232.0

324.0

312.3

296.5

282.5

274.4

266.0

257.8

249.5

241.2

233.0

227.0

235.0

296.0

347.0

396.0

334.2

325.8

3m.

303.2

292.2

281.2

27G.2

261.8

259.8

260.0

265.0

272.0

280.

291.0

3C4.0

319.0

348.0

345.1

337.9

329.5

321.0

312.5

304.1

IO T,K P,8AR MOL/L

3 292.650 .931 . 041

3 292. 65C 4.903 .210

3 292.650 9.807 • 44o

3 292.650 14.710 .o94

3 292.650 19.613 .982

3 292.650 2*. 517 1.319

3 292.650 29.420 1.733

3 292.650 3«».323 2.299

3 323.150 .981 .037

3 323.150 9.307 .336

3 323.150 19.613 .^33

3 323.150 29.420 1.361

3 323.150 34.323 l.o69

3 323.150 39.227 2.019

3 323.150 44.130 2.^26

3 323.150 49.1-33 2.923

3 323.150 53.937 3.555

3 323.150 58.840 4.425

3 323.150 63.743 5.667

3 323.150 68.647 7.040

3 323.150 78.453 8.908

3 323.150 38.260 9.854

3 323.150 98.066 10.450

3 348.150 .961 .-34

3 348.150 9.807 .355

3 348.150 19.613 .'48

3 348.150 29.420 1.190

3 343.150 39.227 1.695

3 343. 15l3 49.033 2.287

3 348.150 58.8^*0 2.999

3 348.150 63.647 3.380

3 348.150 73.550 4.395

3 343.150 78.453 4.954

3 348.150 33.357 5.539

3 348.150 88.260 6.118

3 348.150 93.163 6.66 7 3 348.150 98.0 66 7.175

3 348.150 102.970 7.o39

3 348.150 107.873 6.059

3 348.150 117.680 8.767

3 373.150 .981 • j 32

3 373.150 9.807 .328

3 373.150 19.613 .o83

3 373.150 29.420 1.066

3 373.150 39.227 1.491

3 373.150 *9. 033 1.957

CALCO PCNT

303.6 .06

301.8 .35

292.7 .71

282.8 .85

271.9 .95

259.7 1.24

245.6 1.35

227.9 1.75

322.7 .40

310.8 .47

296.5 .68

280.9 .56

272.5 .69

263.7 .85

254.5 1.26

244.9 1.86

235.2 2.49

227.2 2.50

227.*+ -.17

248.6 -5.80

304.2 -2. 76

357.5 -3.02

401.3 -1.33

333.6 .17

324.2 .51

313.1 .43

301.6 .51

290.0 .75

278.4 1. CI 267.5 1.01

259.4 .93

257.7 .60

258.8 . is

263.1 .70

270.9 .41

231.0 -.36

292.3 -.45

304.7 -.23

318.2 .25

347.3 .19

344.2 .27

336.5 .41

327.8 .53

319.0 .61

310.5 .64

302.3 .59

122
Table 18. Continued.

TERRES ETHANE SPEEO OF SOUND, METERS/SEC.

MOL/L W.XPT

2.476 297.0

3.u^b 281.0

3. 702 286.8

4.409 285.5

5.153 289.5

5.889 299.2

b . 3 7 8 313.0

.J3G 355.0

.305 349.1

.529 342.5

.974 336.0

1.343 329.5

1.738 323.0

2.161 317.2

2.615 313.0

3.100 310.7

3.615 309.3

'.15'+ 309.9

4.706 312.8

5.257 318.2

.028 365.2

.285 36G.8

.585 355.7

.899 350.7

1.229 345.8

l. = 75 340.8

1.539 336.3

2.321 332.7

2.720 330.2

3.135 328.9

3.565 329.1

4.004 33C.9

*+ • <+**8 334.3

,0 2c 3 7 5.4

.263 371.4

.547 366.8

.336 362.6

1.136 358.2

1.448 354.4

1.770 351.2

2.104 348.8

2.448 347.2

2.802 346.8

3.165 347.5

3.534 346.9

3.9w6 350.9

D T.K P.BAR

3 373. 150 53.840

3 373.150 o8.6*7

3 373.150 78.453

3 373.150 3 3.26

3 37-3. 150 98.066

3 373.150 107.873

3 373.150 117.660

3 398.150 .981

3 393.150 9.807

3 393.150 19.613

3 398.150 29.-20

3 398.150 39.227

3 393.150 49.C33

3 396.150 56.840

3 398.150 68.647

3 398.150 78.453

3 393.150 88.260

3 396.150 9 8.C66

3 398.150 1Q7.873

3 398.150 117.680

3 423.150 .981

3 423.150 9.307

3 423. 15u 19.613

3 423.150 29.420

3 423.150 39.227

3 423.150 -+9.033

3 423.150 58.640

3 423.15b 68.6^7

3 423.150 7 8.453

3 423. 15G 38.260

3 U23.150 93.C66

3 423. 15G 107. C73

3 423.150 117.680

3 446.150 .981

3 448.150 9.607

3 -+48.150 19.613

3 448.150 29.420

3 448.150 39.227

3 448.150 49.033

3 443. 150 53.840

3 443.150 68.647

3 448. 150 78.453

3 448.150 38.260

3 448.150 98.066

3 448.150 107.673

3 448.150 117.680

CALCO PCNT

294.8 .75

288.5 -2.66

284.6 .77

284.5 .37

289.5 . CI 300.0 -.25

314.5 -.49

354.3 . 13 348.1 .28

341.1 .40

334.3 .50

327.8 .50

321.8 .38

316.3 .29

311.7 .42

308.3 .77

306.7 .84

307.5 .78

311.1 .56

317.7 .17

364.2 .27

359.1 .46

353.5 .61

348.2 .72

343.2 .76

338.6 .66

334.5 .54

331.1 .49

328.5 .51

327.0 .57

326.9 .68

328.3 .78

331.6 .81

373.8 .43

369.7 .46

365.2 .44

36 0.9 .46

357.0 .32

353.5 .24

350.5 .20

34 3.0 .23

346.1 .31

345.0 .52

344.8 .78

345.6 .94

347.6 .94

123
Table 19. Comparison with speeds of sound, W(p,T), from

(9) Tsumura.

TSUMURA EThANE SPEED OF SOUND, METERS/SEC.

ID T,K P,6AR MOL/L W,XPT CALCD PCNT

9 100.000 319.487 2 1 . / 9 2051.3 2092.9 -2.03

9 100. 0G0 284.948 21.670 2040.0 2080.2 -1.97

9 100. 000 251.961 21.633 2026.8 2067.8 -1.92

9 102 • 000 217.283 21.593 2017.3 2054.6 -1.85

9 100.000 184.270 21.555 2005.7 2041.8 -1.80

9 100. 000 149.807 21.514 1993.6 2028.2 -1.74

9 100.000 114.141 21.471 1981.0 2013.9 -1.66

9 100.000 79.623 21.-f29 1968.4 1999.8 -1.60

9 100.000 41.217 21.381 1954.2 1983.8 -1.52

9 120.000 3o3.424 21.106 1943.2 1982.6 -2.03

9 120.000 285.840 21.006 1914.2 1947.9 -1.76

9 12u.J00 189.120 20.575 1676.1 1902.9 -1.43

9 120.000 1h9.630 20.819 1860.0 1883.9 -1.29

9 120.000 81.052 20.? 19 1831.0 1850.0 -1.04

9 140.000 355.646 20.451 1819.4 1846.4 -1.49

9 140.000 147.077 20.113 1725.2 1735.4 -.59

9 140.000 78.002 19. i96 1690.7 1695.6 -. 29

9 ltO.OGO 284.338 20.343 1788.1 1809.8 -1.22

9 140. 000 214.568 20.231 1756.7 1772.7 -.91

9 160.000 353.276 19.605 1698.2 1714.7 -.97

9 160. 000 281.447 19.676 1662.8 1673.4 -.64

9 160.000 218.056 19.556 1629.9 1635.5 -.34

9 160.000 148.464 19.tl6 1591.7 1591.9 -.02

9 160.000 80.133 19.268 1551.5 1547.0 .29

9 180.000 356.967 19.170 1583.4 1591.6 -.52

9 18 . oO 286.152 19. 02i 1543.8 1546.7 -. 19

9 180.000 216.001 18.862 1502.0 1499.9 .14

9 160.000 147.165 18. =93 1457.9 1451.3 .45

9 180.000 78.794 18.511 1410.3 1399.9 .74

9 ISO. 000 115.163 16.610 1435.6 1427.7 .55

9 200.000 141.899 17.934 1321.0 1311.5 .72

9 200.000 367.545 18.551 1475.4 1479.5 -. 28

9 200.000 321.402 13.436 1446.9 1447.9 -.07

9 200.000 285.200 18.346 1423.6 1422.3 .09

9 200.000 253.809 16.262 1402.5 1399.3 .23

9 200.000 218. 3<+h 18.164 1377.9 1372.6 .39

9 200.000 183.259 16.061 1352.4 1345.2 .53

9 200.000 143.313 17.954 1325.7 1316.8 .67

9 200. 0G0 115.229 17.848 1299.1 1288.9 .78

9 200.000 78.606 17.724 1268.2 1256.8 .90

9 200.000 *9.336 17. bit 1241.6 1229.7 .96

9 220.000 155.130 17.207 1200.6 1191.8 .75

9 220.000 359.773 17.361 1361.0 1361.5 -.04

9 220.000 285.348 17 .06 1308.1 1304.3 .29

9 220.000 216.788 17. ,34 1254.4 1247.4 .56

9 220.000 147.819 17.179 1194.2 1184.9 .78

9 220. 000 78. 7*7 16.686 1125.4 1115.3 .90

9 220. oGG 100 .571 16.983 1147.8 1138.2 .84

9 220.000 100.292 16.982 1147.5 1137.9 .84

9 240. 000 342.789 17.163 1242.2 1240.9 .11

9 2h0. 000 285.379 16.957 1195.8 1191.8 .33

9 240. 000 216. 70h I6.08I 1134.4 1127.9 .57

9 240.000 147.328 16.357 1063.4 1055.7 .72

9 240.000 7 8.670 15.974 980.1 973.3 .69

124
Table 19. Continued.

TSUMURA ETHANE SPEED OF SOUND, METERS/SEC.

D T»K

9 240,,000

9 260..000

9 260.i u 00

9 260,>000

9 260.,000

9 26C,,000

9 26»,,000

9 260,,000

9 260,,000

9 260,,000

9 260,,010

9 260,,0u0

9 280,,occ

9 280,,000

9 230,,000

9 260,,00G

9 28J,,000

9 230,,000

9 280,,000

9 230.,00G

9 28C,,000

9 280.,000

9 280,,000

9 280.,000

9 230.,dQU

9 280.,000

9 280,,000

9 300.,000

9 300.,000

9 300.,000

9 300.,000

9 300,,000

9 300,,000

9 333,,000

9 300,,000

9 320,,000

9 320,,000

9 320,,000

9 320,,000

9 320,,000

9 320,,000

9 320.,000

9 320,, 000

9 320.,000

9 320.,000

9 320.,000

9 320, ooc

9 320,,000

9 323,,150

9 323,,150

9 323,,150

9 323.,150

9 323,,150

9 323,,150

9 323,,150

P.3AR

35.593

225.294

3*5.413

319.873

234.78*

25 2.38 3 217.699

175. em

148. 3*b

113. 645

78. J13

51. 344

349.207

285.846

216.5**

147.522

78.243

368.267

320.351

235.347

253.215

216.837

183.451

147.330

113.102

78.036

«9.981

357.883

235.355

251.374

216.716

95,448

95.463

7 3.2 30

69.997

103.867

163.839

162.914

344.819

274.947

216.491

147.067

112.573

99.688

85.875

78.C19

73. 477

316.099

331.703

235.364

251.142

216.653

1*6.943

100.339

90.770

MOL/L W,XPT CALCQ PCNT

15.b84 917.3 913.4 .43

15.^3 7 1026.1 1019.6 .62

16.491 1142.5 1138.3 . 57 16.384 1120.1 1114.9 .47

Is. 229 1087.8 1081.3 . 60 16.073 1056.6 1049.1 .71

15.3 j6 1019.5 1011.3 .81

15.o57 971.2 962.6 .89

15.^32 936.3 927.9 .90

15.236 887.6 830.0 .85

14.942 830.2 62*.6 .67

14.683 780.0 777.4 .34

15.812 1050.9 1046.6 .41

15.484 987.7 981.4 .63

15.056 907.7 900.1 .83

It. 512 809.9 802.9 .87

13.728 676.0 673.5 .37

15.902 1068.5 1064.9 .34

15.669 1023.2 1017.3 .53

15.461 937.4 980.9 .66

15.293 952.0 944.7 .76

15.058 908.2 900.5 .85

14.814 863.9 856.1 .90

14.510 809.9 302.6 .90

14.166 750.2 744.4 .78

13.725 675.7 673.0 .39

13.253 598.0 600.9 -.49

15.152 971.1 967.0 .42

14.704 892.6 386.4 .70

14.457 850.

7

843.9 .80

14.170 803.6 796.* .90

12.571 566.1 562.9 .57

12.571 566.2 562 . 9 .53

12.1*2 509.8 509.2 . 11

11.363 477.2 47 8.5 -.27

1 2 . 5 610.9 604.3 1.08

12.*99 610.9 604.2 1.10

12.*64 606.5 602.3 1.02

14.351 877.1 872.3 .54

13.811 792.8 786.4 .81

13.225 707.5 700.5 .99

12.196 573.8 567.3 1.13

11.346 479.3 474.3 1.04

10.375 433.6 429.6 .93

10.145 372.5 37 0.0 .66

9.495 328.1 327.2 .23

0.937 297.2 293.0 -.25

14.145 844.1 838.7 .64

14.141 850.1 845.1 .56

13.772 793.5 787.5 .76

13.452 746.6 740.1 .83

I3.u73 693.5 686.7 .98

11.983 556.5 550.2 1.14

10.561 414.6 410.4 1.02

It. 029 372.3 369.5 .39

125
Table 20. Calculated P(T) isochores.

The following pages give P(T) along isochores, as computed by the

equation of state. The third column DP/DD is the isotherm slope (9P/9p)

in units of the bar and mol/£. The last two columns give the isochore

2 2 slopes and curvatures 9P/9T, 9 P/9T , in units of the bar and K.

These tables show that the isochore curvatures are qualitatively

Ls point.consistent with a maximum in the specific heat C (p,T) at the critical

126
Table 20. Calculated P(T) isochores.

thl isochgre at !.:: mol/l

T,K

?6b. G 274.:

2 8 2 . 291.3

?9e.:

30 6, C 314. C 322.0

3 3 g .

338. : 34b.

354.-:

362.2

370. S 37 8. C 38 6. 394.0

432. C 41G.C

418.0

426.

434.0

442. is 45n.c

45 8.:

466.

C

474.

G

482. G 49C.G

49 8. G 506.0

514. ii 522. C 530.0

538.

G

546. j 5 5 4 . G 56 2. S 570. S 578. G 58 6. G 594.

Q

P, JAR

17,163

17.994

18. 815

19. 626

2 0. 430

21.227

22. 2lo

22. 30 5 2 3.58 7

2 4. 366

25. 140

2 5. 912

2 fa. 68:

27.446

28. 21

e

26.971

2 9. 7Zi

3G. 48 7 31. 242

31.996

32. 748

3 3. 499

34. 243

34.996

35.742

36, 468

17,ZZZ

37.976

33.718

39. 46i

4*. 2GG

4 C . 94

41.679

42.417

4 i, 154

43.891

44. 627

4 5. 362

46. G97

46. 831

47. 565

48. 295

DP/Ol

13

14

15

lb

17

16

19

19

2 '- 21

22

2 3 24

25

26

26

2 7 28

29

3:

31

31

32

34

35

3b

36

37

3o

3«

4u

4C

41

42

43

44

45

45

46

47

44c

<+57 44

1

40 3 347

27 c 19 3 J99

996

835

76 6 641

511

374

233

85

93 8 785

62 8 46 8 30 4

13 8 969

798

625

449

271

G91

910

72 6

541

355

16 6 977

786

593

tju

2^5

G 9 812

614

414

DP/OT G2P/PT2

. 1C 48 — , U : U 2 3 .1032 -.0 0017

.li.19 -.J 14

• 1 9 -.0 00 12

• 1C03 -.a.ccio

.0993 -.00 G

9

.C986 -.03008

. c 9 a o - . j 7 .G975 — . - ii 6 ,G97i - . 6

.0956 -.0 0005

.0 963 — . j i? 5 .0 959 - . G 4

.C956 -.00004

.0953 - . C 4 .G95j - • j 3 .0 948 -• l u3

.0 945 -.00-03

.0 943 - . G 3

. 0941 -.00002

.0939 - , o c 2 .0 937 -.00002

,C 936 -.00002

.0934 -.00002

. 935 " • J U w w b .C931 -. 00GG2

.093. - • 6 l G 2 .0 929 - Pi n Q 1 ?

. 09 2 7 — . j u 1 .0926 -.0 0301

.0925 - . U !. U L 1

. 9 24 -.00001

.0923 - . ii i .*J^22 -.0-001

.2 921 — . 'j 1

. G 9 2 a - . G 1 .0920 -.00001

.0 919 -.3-0 SOI

.0 913 -.00001

.0917 -.0 0001

.0917 -.00001

.0916 — . \i u 1
Table 20. Continued,

THE ISOCHORE AT 2 . 3G KOL/L

T,K P,BA C DP/00 9P/DT Di!P/DT2

290.3 31. 349 8,,322 .23 35 -, iij 374

2Q3.: 33.235 9,, 544 .233(+ -,,0u0 54

; a 6 . u 3 5. C8 7 1C,,719 .2296 -,,0 3342

314.

36. 91

11 ,661 .2266 - QCC 34

T T "> £ C • - 3 h, 714 12.,97-= .2241 -, 3 j C 29

330.

4 1. uqi 1 4,, J77 .2219 -

,

,00025

3Z*,r 42.265 15 , 16 C . 22 G j - , 0".l22

346. r 44. :i9 16 ,23c .218-+ - ,C0l19

T 54. 3 4 5. 7b: 17 ,233 . 2^69 - , a £• 1 7 362." 4 7. 49C 18,,337 .2156 -, QOulo

37..; 4 9. 2 J 9 19 ,3 76 • 2i 4*+ - ,03014

378.53.920 2. 1 td7 .2133 - , 0QG13

386.1 52.622 2i .431 .2123 - , o;c i2

394.: 5 4. 31 7 22.,44? .2114 - ,03011

4:2.: 5 6. H 5 23 .461 .21-5 - , j.iia

4i:.c 57. 6?6 24 ,467 . 2 C 9 1 - » U G ii U 9 ^1 3. C 5 9. 361 25 ,H68 . 2 C 9 j - , a . : c 9

42 6. u 6i. :3i 2 6 ,465 .2.84 - ,oc:c8

434. C 62. 695 27 ,+57 .217* - > u Q . G 8 442." 64. 355 23 ,t4b .2-72 - , : : o 7 45 3.3 6*. :i: 29.,+3: .2C66 - . 3 Q G 7 45 3." 67.661 30 ,412 . 2: 61 - , W 6

466.C 69. 30 3 31,390 .2i5& -,.ooec6

47 4 . C 7..Q5 1 32 ,3 64 .2.51 - , i : u c 6 ^ 8 2 . 7 2.59 3- 33,, 336 .23*7 - , 3 u G j 5 49..; 74.226 3 H ,3u5 .2.43 -,, Q u C u 5 49«.

75. i5 9 35 272 .2C 39 - ,0QGG5

5"6.C 77. 48 9 36, 23 6 .2.35 -, 00035

514,C 79.116 37,,198 .2: 32 -, 03lC<*

522.

3. .74. 36. 157 .2.25 - , a o i. 1 1* 53"." 3 2. 261 39,,115 .2.25 -, 33034

536.- S3. 98 '. 4: , , J7^ .2.22 -,,G^u34

546.C 35.597 41 ,323 .2-19 -, 4

r 54.C 37. 211 41,,975 .2016 - , U J *j „' 562. C 3 5. 323 42,,924 .2:14 -, 3 jC.3

57C.C 9:. 433 43, 872 .2011 - , 33C33

573. r 92. 041 v4 ,619 . 2 Li 9

- , j - G3

586.: 93.647 4-5,,76 3 . 2~ 3b -,,3 30 03

594. u 95. 251 46,,7J6 .2: J4 -, j — 3

128
Table 20. Continued,

THE ISOChCUl AT 3. yj M

T,K P,3AR DP/DC

2 9 8 . C 4 C . 8 5 4.44G

3£ 6.£ 43. 218 5.825

314. 3 46.276 7.137

32 2.;: 4 9. 23 .' 8.411

33 • C 52.242 9.061

33 8. C 55. 171 13.893

3h6.Q 58.072 12.111

354.T. 6 : . 94 8 13.318

36 2.0 6 3. S 2 14.514

37.J. C 66. 63 F 15.70 3 378.0 69.456 16. 33l> 336. 72.259 18.158

394. G 7 5. 34 8 19.227

4"!2.C 77. 824 2w. 391

41C.0 8G. 588 21.54a

4i Pi-, : 83, 341 22.704

42 6.: 3 6 ... 8 4 23.35**

434.0 8 8. 818 2 5 . J C 1 442.5 91. 543 26. 144

450.

C

94. 260 27,Z?>3

45 8 . 96.969 28.42'

<466. C 99.671 29.554

474.0 10 2, 36 6 3D. 68 5 48 2.0 1C5. 355 31.313

49C.C 10 7.73 6 32.939

495.3 li:.41> 34.S62

506.

C

113. 386 35.134

514.

G

115.752 3 6. 3 j 3 52?. n 118. 413 37.420

53. . C 12 1. 37 3 38.535

53 8. C 12 3. 721 39.648

54 6. 126.369 4L.759

554. G 129. 012 41. 368

56 2.0 131.651 42.976

570. C 13 4. 2*6 44..3 6 2 578. C 13 6. 918 45.187

586. G 13°. 54 6 46.269

594.0 14 2. 17 C 47. 391

MOL/L

DP/OT D2P/CT2

• 3983 - • u 2 5 .3^62 -.03115

.3735 - . '3 G 8 2 .3727 - . 3 3 G 64

.3631 -.00052

.3643 -• 000 44

• 3 6 1 j - . 3 3 8 .3531 -. ;;3:34

.3556 -• G J 30

.3533 -.00027

.3513 -.C0024

.3495 -.3. l 22

.3473 -.30-320

.3462 -.00018

.3448 -.00017

. 3 h 3 5 -.00016

.3423 -,0wCl5

.3412 -.00014

.3401 -.03013

.3391 -.00012

.3332 -.03011

.3 373 -.0 0011

.3365 -. G<„0 13

.335 7 -.00013

.335: - . r

; : . ' 9 .3343 -.03309

• 3 j. 3 6 — . j w 8 .3329 -.03003

.3323 -.0OuC7

.3312 -.0 07

.3307 -• CG07

.3301 -.0 30 06

.3297 -.30006

.3292 -.00006

• 3 <^ 8 7 — • u - l v 6

•3283 -.0-005

.3279 -.u00C5

129
Table 20. Continued,

THE ISOChO^c AT h.00 *OL/L

T,K P,8Afi CP/OL DP/OT 02P/DT2

30 6. C 47. 292 2 59C .5615 -.00272

314.0 51.717 4 ( CGI .5463 -. 0. 141

322. G 56. 048 r. 371 .537 Q -.00097

33G.0 6.. 315 6 ,724 .5302 -.GOD 75

338. i 64. 534 ft. -69 .5245 -.00061

346. 1 6

Q

. 714 9. 40 7 .5205 -.0.0 52

354. 72. 360 10, 74*. .5164 - . j u ^5

362.

76. 97b 12. -69 .5131 -.03 039

T70.O 8 1. i7j 13, 396 .5101 - . 3 J C 3 5 373.0 85. 14G 14, 72 C .5075 -.0-031

586.0 8y.i9i 16.,041 .5.51 -. 00028

39*. Q 93. 225 17, 361 .5.29 -, 3 OC 26

40 2 . *j 97.233 1 5, 678 .5009 - . j L 2 4 410.0 131. 23£ 19, 994 .4991 - . o : 22

418. C 105. 224 21,,30 6 .4974 -.30c 20

426. G 109.197 22, 62G .4^59 -. 00-19

434.113.158 23.,931 .494'+ -.Jo 13

442.117. 1G 5 25,,24G .4930 -.000.17

45.0. G 121. -46 26,,54 8 .4917 - . 116

45 8. D 124.975 27 ,855 .4^05 -.00015

466. C 123. 895 29 , 16'" .4394 - . j - 14

474. C 132. 805 3i. ,464 .4o33 -•0JG13

482. C 136. 707 31 ,766 .4672 -.00013

49 . C 14 G . 6G 1 33 ,06? .4 565 -.0 0012

496. C !<+<+. 4+87 34 ,366 .4853 -.0 1-11

5G6.C 148. 366 35 ,666 ,4o44 -. OCOil

514. C 152.238 3 6 ,964 .4636 -.00013

522., 156. 1G4 38 ,26L .4528 -.0 3013

5 3 3. G 159.963 39 • 555 .4820 - . 3 »j 1

538.163. 315 4C ,348 .4812 -.000 09

546. C 167. 662 42 ,141 .4805 — . - L! - 9 55*. C 17 1. 50 3 43 ,432 .47 93 — » & j 9

562. C 175.339 44 ,722 .4791 - . G 8 57 CO 179. 169 46 .311 .<+784 — . u M '- C 3 578.0 182. 994 47 ,29^ .477d — . u -j - Li 3 59 6. G 186. 314 46 ,535 .4772 -.00008

594.19 0.62 9 49 ,371 .4766 -.00007

130
Table 20. Continued.

THL1 IS0CH0<?E AT 5.30 MOL/L

T,K P. BAR DP/DD

306.0 48. 393 .831

Sli».Q 54. 747 2.272

322.

C

6 0. h8 2 3.711

33 . 66. 149 5.16C

33 3. C 71.767 6.619

34 6.0 77. 346 8.3 36

354.0 82. 693 9.561

362.

r

3 3.412 11.039

37C.C 93.907 12.524

373. C 99.381 14.013

386.3 13 4. 83 5 15.505

39 4. : 113. 271 1 7 . G 1 ^02.0 115.691 1 8 . 5 C 413.. C 121.09 6 2u.JL.

418. 3 126. 437 21. 533

426.

C

131. 365 2 3 • {j fi 414.

C

137. 231 24.514

44 2.0 142. 555 26.021

45 3. G 147. 929 27.532

453.C 15 3. 26 2 29.G39

466.

C

158. 586 33. 549

474.5 163. 90C 32.^59

482.

C

16 9. 2-U5 33.57'

49 C. 17-4. 5C1 35.081

493.0 17 9. 78 9 36.592

53 6. C 185.273 38*103

514. 3 19U. 3<+2 39.614

522." 195. 636 41.125

53 .4 20.:.. 86 6 4 2.63 6

533. 3 2Gb. 117 4^.147

54 6.0 211. 361 4 5.65 7

554. 3 216. 599 47.166

562.

C

221. S31 48. 675

5 7 3.0 227. u5 6 50.184

57-8.0 232.276 51.692

596.3 237.489 5 3.199

594.

C

242. 697 54.73*6

OP/OT 2J2P/DT2

.7461 -.00627

.7225 -.03168

.7121 -.00103

.7.51 -.03076

.6997 -.3CQ6d

.6953 -.33053

.6915 -.0*043

.6683 -.30038

.6355 -.03334

.6 329 -.00 30

.6836 -.30328

.67 95 -.03 25

.6765 -.03323

. 6747 -. Q.i.O 22

.6731 -.03020

.6715 -.33319

.6703 -.Q0C13

.66 86 -.3 3-17

.6673 -.03316

.6663 -.00015

.6643 -.03015

.6637 -.03014

.6626 -.uOC13

.6615 -.0 3013

.660 5 -.03012

.65 36 ^.00312

.6586 -.03312

.6577 -.03311

.6563 -.0-311

.656 3 -.00011

.6551 -.39010

.6543 -.03310

.6536 - . 3 1

.6528 -.33309

.6^23 - . 3 M 3 9

.6513 -.00009

.6506 -.030 39

131
Table 20. Continued.

ThE ISOCHO^E AT 6.3: MOL/L

T,K P,5AR OP/DD DP/OT D2P/0T2

306.0 49.326 .181 .9269 -. C0961

314.0 56. 633 1.661 .9.67 -.031G7

322.3 63. 859 3.220 .9:03 -.0 3 062

£ o o • U 71. 44 4. 320 . 8 961 - • 3 C 45

^3 8 • u 73.200 6.45i. .8929 -.o:*:36

346. C 35.332 8.131 .8932 -. 33031

354. C 9 2. +4 4 9.771 .8679 -.33027

36 2. C 99. 539 11.455 . e359 -.33024

370.3 1G6. 619 13.152 . 6841 -.333 22

378.0 11 3. 66 5 14.860 . 862h -.3 03 20

3 3 6 .

". 12c 73° 16.577 .80 39 -.33019

394. G 127.75; 18.302 .6794 -.30318

40 2. Q 134. 81 : 2^.^34 .6781 -.0 3317

41G.C 141. 629 21.773 .8763 -.03016

416. G 146. 638 23.516 .5755 -.5-3-315

426. 155. 63 ft 25.265 .8744 -. 30315

434. C 162. 826 27.018 .8732 -.03314

44 2 . G 16 9. 310 28.774 .8721 -.0 0014

450.176. 782 3 0. 534 .8710 -. Q0G13

458.C 133. 747 32.296 ,3703 -.03013

466.0 190.703 34. 061 . 86 90 -.00312

474. C 197. 651 3 5.82 6 .8680 -.0 0012

43 2.0 234.591 37.597 .8671 -.33012

49 . 211. 523 39.366 . 8661 -.0 0012

495.1. 218. 449 Hi. 140 .8652 -.03311

526.3 225.366 42.913 .8643 - . « 3 Q 11

£14.

232.277 44. 687 .8634 -.00C11

5 2 2.0 239.181 46.461 . 8625 -.Giiuii

53-. C 246. 277 46,237 .8616 -• «u 11

5 3 8.0 252. 967 5 0.313 . 3633 -.3 00 11

546.0 25 9. 85 51.789 .86C3 -.00010

554.0 2:66. 727 53.565 .6591 -.33310

562. c7Z. 596 55.341 ."583 • - - - x u 57C.C 2 8 j. 46 u 57.118 .65 75 -.33310

578.

£87. 317 58.894 .8 567 -.33C10

5 S 6 . a 294.166 6 0. 67 if .656u -.03013

594. L 301.012 62.445 .6552 - • 3 3 313

132
Table 20. Continued,

THE ISOCHO^E AT 6.80 MOL/L

T,K P, 6AR DP/OC GP/DT D2P/DT2

306.

C

49.^29 .181 1,0675 -.00000

314.0 57.969 2.339 1.0674 -.00001

32 2. C 66. 50 b 4.497 1.C673 — • u u 2 330.

C

75.o45 6.655 1.0 6 71 — . J j u 3 338.0 33. 531 8. 312 1.0663 -.00004

346. G 92.114 10 . 968 1.0665 -.00004

354.

C

IOC. 64 5 13.124 1.0662 - . Q 5 362.0 109.173 15.278 1.0657 -,s.: (:5 37 0.C 11^. 697 17.43 1. 0653 — . j u 6 378.

C

12b. 217 19.582 1.0648 -.00006

33 6. 134.733 21.732 1.0o43 -.00007

394.

C

143. 245 23.880 1.C637 -.j:oo7

43 2. C 151. 752 26.o26 1.L631 - . a J

o

1

7

41G.C 162. 255 26.171 1.0625 - • Q j 8 418. 168. 753 3 0.314 1.0619 -.00008

426.

G

177.245 32.^+55 1.0612 -. 00u08

434. G 185.732 34.594 1. l6 \iS f ..03 09

442.0 194. 214 36.731 1.U5 99 -.0 jO C9

450.0 20 2. 69 38.866 1.C5 92 - . J 9 453.0 211. 160 40.998 1.C534 -.00009

46 6.0 219.625 43.129 1.0577 -.o f

: u09

474.

C

22 5. 033 45.257 1.0570 -.00009

482.

C

2 3 6. 53 6 47.384 l.f 562 -.00009

49 3.0 244.983 49.507 1.0554 -.00010

498. G 253.423 51.629 l.i.547 -.00010

506.

C

261. 357 53.74b 1.0539 -.20010

514.0 27..2S6 55.365 1.C531 • i g j 1 1 U 522.0 27a. 707 57.980 1.0523 -.00010

530. G 287.12 3 6 0.093 i.*515 - . 1 533.

G

295. 532 62.203 1.0 537 - . 010

546.0 303.935 64.31C 1.0499 - . 1 554.0 312.331 66.415 1.0491 -.00010

562. C 320.721 68.518 1. 483 -.00010

57 , C 32 Q .1G5 70.619 1.0475 -.03013

578.0 337. <+82 72.717 1.0467 -.0 010

586. 345. 852 7h. 313 1.G459 -.00010

594.0 35h.217 76.906 1.0451 -.00010

133
Table 20. Continued,

THE ISOCHORE AT 8.0G MOL/L

T,K r,8fl^ LP/OD DP/OT D2P/0T2

306.

49.669 .439 1.3182 .01336

314.

6C.389 2.519 1.3517 .03190

322. .0 71.252 4.699 1.3630 .00133

330. G 82.186 6.939 1.3731 .00075

338.93.169 9.22C 1.3753 .0-056

346.0 104.186 11.534 1.3793 .00044

354.0 115.235 13.374 1.3824 .0uG35

362.

126. 3C5 16.236 1.3850 ,000-28

370. 137.393 18.616 1.3870 .3CC23

378. 146.497 21.012 1.3837 .00019

386.0 159.612 23.422 1.3900 .00615

394.0 170.737 25.843 1.3911 .0GC12

43 2.13 181.869 28.274 1.3919 .00009

410.0 1-9-3.057 3*. 715 1.3926 .00007

418. C 234.150 33.163 1.3933 .00005

426.0 215.295 35.617 1.3934 .0J003

434,0 226,443 38.078 1.3935 ,000-04

442.

237.592 4C.544 1.3936 -.02003

450.0 248.740 43.015 1.3935 -.00001

453.0 259.888 45.489 1*3934 -.00002

466. C 271.034 47.967 1.3932 -.0J0G3

474.

282.178 50.448 1.3928 -.00004

482.-0 293,319 52.931 1.3925 -.0000-5

490.

304.457 55.416 1.3920 -.0-0006

498.0 315.592 57.903 1.3915 -.00007

5C6.C 326.722 60.392 1.3910 -.0:GC7

514,

337.847 62.681 1.3904 -.00008

522. 340.967 65.372 1.3897 -.00008

530. 360. uS3 37. 863 1.3891 -.00009

533.

371.192 70.354 1.3683 -.00009

546. * 332.296 72.345 1.3676 -.00310

554.0 393.39* 75,337 1.3868 -.03010

562.0 404.485 77.826 1.3860 -.30010

570.0 415.570 80.318 1.3852 -.00010

578. C 426.643 82.309 1.3843 -.02011

586.

437.719 85.298 1.3835 -.00011

594.0 ^48.784 87.787 1.3826 -.00011

134
Table 20. Continued.

THE ISfiChCUE: AT 3? •

'<. . : f ol /L

T,K f' , R A h DP/DD 3F/0T 02P/0T2

3G6.D •3 "

. 6 G 4

1

c < 2:3 1.6133 j 8 7 4

lit*.

:

6 3. 92 4 4. 971 1.6 5 61 " .291

3 2 2.3 7 7. 25 5 7, 75* 1.6742 3.1c""

5 3

n- . n 9 : . 7 :

2

1. , 57c 1. 6664 J ., 1 3 3 33 8. C iu4. 231 13, tl9 1.6955 J J J. w J 346. C 117. ^25 16 .235 1.7. 27 . } j : 3 j 354. . 1.31. ~7: 19, 169 1.7:35 3 u 6 5 362. : 145. 15c 22, .66 1.7x32 , . .,54

37:.

15 8.879 24. 931 1.7172 . j j G 45

37 6. u 172. 633 27, 9 3 5 1.72 34 . i : : 37

7<3

. 6.

" 186. 4C

5

3., 83 8 1.7 ZSZ 0-331

794. : 23.. 2C0 3

* 76. 1.7254 .DOC 26

Au 2.214. :n 36,,72 c 1.7273 . £00 21

* 1 • u 22 7.83 6 39, 68 4 1.7289 u 3 j 17

41 8. v 241. 67 2 42 , 643 1 . 7 3 .1

1

. U0014

426. C 255. 517 45. 6uc 1.7311 ,333 11

43h.C 2 6 3. 368 48, 3 76 1.7216 , C 8 44 2. C 283. 225 5 *_

, 546 1.7324 . 3 j C 06

+5C. •. 29 7. : 6 e 54 ,52.. 1.7c23 ,03004

45 8. r 31... 949 57, 495 1.7333 .0^32

46 6. u 32^. u

l 3 6., 472 1.723: - 1 t v !. l j 474.0 33 3. 67 7 c3 -f 5 w 1.7 is: - . 03 JU2

4°2.C 352. 54 a 6 6,,42o 1.7323 - . G 3 •> C 3 493.0 356. 401 6 9 4-: 7 1.7.25 - , wlu J4

A 9 8 . C 3 8". 26: 72, 386 1.7321 - . J J C '3 5 50 6. 39h. 115 75 ,365 1.7316 - > & j 2 C 7 514. : h 3 7 , 9 6 5 76, 3*3 1.731C - .00, 37

52 2.v H 2 1 . .ill 3 1 3? 1 1.7334 - . j j k. „ 8

e i

r

. c 43 5. 65 2 94, 297 1.7*97 - .0^309

53 8.0 <+49. *36 87 .273 1.729: - > u . .13

546. G 463-j 315 9: > 24

5

1.7291 - .Q 0G11

5 5 A . S 477. 137 93 .221 1.7273 - .3 3.11

562. " A 9 .951 96, 192 1..7254 - .33312

57 0. G 5:4. 75 6 99,,162 1.7254 - .3 3312

5 7 8 . C 51 a. 55 8 10 2 ,13" 1. 72 -+4 - .30213

5 8 6 . C 532. 349 i: 5 ,3 96 1 . 72 3* - .

2

j3 x3

594. : 546. 132 1 L 6

,

6

:

1.7223 - ,ii jc13

135
Table 20. Continued.

TKr ISGCHORE AT 10. OG "OL/L

T,K c,4AF CP/'DD OP/DT Q2P/0T2

336.2 55.131 7.1*9 2.Q232 .J.j5i5

31*.

7l.**9 lv,.79i 2.0534 .Uj2S6

7 22..C 87.956 1*.39£ 2*072* ,jj1J9

33Cj 104.593 17.993 2.. 562 .Uul51

33a.121.327 21.59l 2.3^69 .03119

3*6.

138.138 25.189 2.1C55 .03097

354.: 15-..12 2a. 791 2.1126 ;3jG6i]

362." 17_. G 36 32.393 2.1134 .Cj<-66

370. 186.904 35.999 2.1233 . J G 55

'78.. 215. -i r t 39.6.6 2.1273 . j u G 46

386.222.939 43.214 2.1337 .3JG33

394.239.996 45.622 2.1335 ,3::32

432.!; 257.1.73 5.. 431 2.1356 .0JC26

4ia.il 27*.i6S 5H..39 2.1377 .3JG21

418. C 291.Z7& 57.646 2.1392 .UjG17

426.C 3G5.394 '61.25c 2.1404 .03013

434.

325.521 64.356 2.1413 .3«iC;9

442.: 342.65* 66.462 2.1419 «3uGC-6

k5".C 359.791 72.C63 2.1*23 .G2G34

456. 576.93. 75.662 2.1425 .3G0C1

466.?: 39^. .71 79.259 2.1425 -.OifiOi

474.0 411. 213 62.853 2.1423 -.QGuG3

482.

42c. 546 86.445 2.1423 - . 3G J5

49 0.0 44 5.48 2 90.033 2.1*16 -iJluio

498.

j

462.612 93.61.9 2.141. -.QCGu8

506. £ 47^.735 97.201 2.14Q3 -.03009

514.

496.857 UC.78C 2.1395 -.30311

522.

513.^69 10*+. 355 2.1386 -.J3C12

537. 531. "74 107*926 2.1376 -.03013

53 8.1 545.171 111.494 2.1366 -.530 14

5*6.

565.259 115. C58 2.1355 -.0-015

55*.582.53 3 lid. 612.13 43 -.03015

552. l 59 c>.*37 122.175 2.133, -.3ii.l6

57:.'. 616.466 125.727 2.1517 -.00017

578.0 633.515 129.275 2.1303 -.03017

536.

65. .552 132.619 2.1289 -.G0018

594. b67.57 a 136.359 2.1273 -.03018

136
Table 20. Continued.

TH^ IS0CH0-?" 5T .1. ,

T,K r , a a * DP/DC

? 9 3 .46. 63 3 12, o9<+ 3o c. J 6 6 . 3 8 3 17, ^ 5 2 3i i+.

3 7. 33 2 2 2 < 2- Q 1

?. 2 2 . 3 107.922 2c

«

67^

3 3 i .125. 61 5 31,,222

3 3 s .

A. 4" J « ** u «J 3 5, 74 5

Ti+ 6. „ 17 ,2<» Q 4 3 ,24fi

35* . u 191. 153 44. 736

3 8 2 . j 2 1 2 . 1

"• 3 4 3) ,21 . 3 7 J . L £3 7 .: r' J

cr t 671

Z7$., 2 5^. Id 8 58. ' > * 38 6. C 27-3.151 62 ,561

-? =>4... 2 9 r. . 2 1 U 6o , 9 9

*tu 2. J 317. 293 71, •+1-

<+ 1 £ . L 3 3 H . 5 8 H 75 , 521

M3. L 35 G . t8n c 3 ,22 3 426. Z 38 .. 591 34 ,Dl7

434. ' 4 21.7U. M CiI J - 1 44 2. I ^22. =511 93 37?

450. C 443. 921 97 , 746

45 8. C 46 5. ~ 2 6 1l2 ,13c

^6 6.

:

4 8 0.131 I >. 6 , *+5 3 474. D 5C7. 22; 11C,, 3C2

482. : 52^. 313 115 , 13 c 49C.0 54°. 39 9 119 I nbt

498.; 57... 471 123 ,736

5 3 6 . : 591. 532 123, j^

514. 612. 5°. 3 13 2, l*~ H 522. £, 6 3 3.623 13c,.701

5 3 C . C f 5 l. . 64 5 !*+ ,,991

53 8.

67 5, 65 7 145, 27u

5<+6.C 69 6.65 3 149,, 5*+9

OL/L

LF/GT

2.5132

2. 5-452

2 . 5 6 5 d 2.551.;

2 . 5 -; 2 7 2.0.22

2.63 9

3

2.6161

2.6^12

2. 6c 55

2.6^39

2.6317

2.6 i*.

2.C357

2.637 . 2.6379

2.62 35

2.6333

2.6333

2.6336

2.6382

2.6375

2.6 7 67

2.6357

2 . 6 3 <+u 2.6334

2.632<j

2.6335

2.6239

2.c273

2.6<_55

2.fc237

IP/012

. j .'5 31

3,339

8 3 217

> j . 1 b 5 ,.131

3 1 -2 6

, J 2 3 8 6

3 .371

3 j . 5 3 ,o:3<+3

. j.: : 39

, a .3 o 3i

, . .

" 25

, u j C i 9

, J 3 . 1

4

, G J 3 C 9

. . . . ^ 5

, 3 . . - 2

- .333.1

- . a s q e 4

- ,*~j~~7

- , 3 . c l 9 - .3 3.11

- .33213

- . i) .. 15

- , j j 3 1 o - . G 3- 3 1 3 - ,2;.. 19

- ,0uC2a

- . j j . w i - , J -.22

- .3:323

137
Table 20. Continued

THE IS0CH0>' :: £T 12.30 'Ol/L

T,K

29 0.3

2 9 4 . c 298. C 3 3 2.:

306.0

3 1 D . 3 1 4 .

318.3

322.3

326. : 330.:

334.3

338.7

34 2. ? 745. 3 35 :.„

354.3

35 8. 362.

366.3

37 3. C 374.3

37a.

382.3

3 8 6. C 393. 3 391*. 3 798.3

4 2.3

40 6. C L13.

414.3

418.'.

422. . 42 6. r i.3j.l

t» 3 4 .

436. C 4t+2. G -46. 3 45 ;.*

454. C 45b. 3 462.3

^6 5.3

47..3

47 4. 3 478.

48 2. G 4 8 6. .". 493.0

F , 3A R 41.773

5-4. t45

d7. 159

7 9. 919

9 2. 66 8 105.494

lib. 323

131. 172

144. 139

155. 921

169. 81b

182.727

195. 647

20 6.577

221. 516

234.463

247. 416

26 3. 37 6 273. ^41

236. 31"

299. 26 3 312.25^

32 5. 23 6 33S. 219

351.202

364. 186

37 7. 17 3 39.. 155

43 3. 14 w 416. 124

42°. 137

^4 2. 3 89

455. 37L

46 6. 3 4°

48 1. ,2b

-9^. 13 3 5,6. 37c

519. 94 2 53 2. 90 8 545. 671

55 6. 833

571. 78 b 584.739

397, 687

6 1 v . 6 3 1 tcl. 571

636. 53 7 649. +3-> 66 3. 36 5 675. 236

68*. 203

OP/00

23.925

2b

2h

32

35

38

41

44

47

53

5c

55

58

61

63

66

69

72

75

77

a:

933

897

829

7^5

623

4 5 7 339

177

u Q 2 816

619

413

198

974

743

504

258

.3 4 74 5 479

207

35,,933

8 8,,646

91. 357

9h ,063

96,,764

99 , tbv. 102,,151

lG4 ,637

137 .519

11C ,195

112 ,868

115 , 536

115 .20

12-3 ,36 3 12 3 , 515

..26,,16 6 126 ,81^

131,, 457

134,,.j97

136 , 712

139 ,365

141 .993

144 ,61 8 147 , 23 °- ^49 , 357

15 2 .471

15 5 .381

15 7 ,66 6 16 J ,292

UP/DT

3.1618

1736

16 32

1^14

1934

2: 45

21 98

2145

2137

2^24

2253

2287

2 313

2337

2357

2 3 76

2392

240 6 2413

2 42 3 2437

24^4

2453

2455

2453

2461

2462

2462

2451

2459

2*57

2454

245^

2445

2439

2433

2427

2419

2*12

2^03

2395

2336

2376

2 3 66

2 355

2345

2333

2322

231u

2293

2236

D2P/OT2

.03329

. j vf 265

. 30221

.33133

. 03163

.0 :i42

.3.125

. 3,111

.00099

.33183

. 0uC78

• j 3 70

. 00C62

.03355

• j j49

.0 0343

. 0;., 38

.03333

.33323

• u0 24

.100 20

.GQ316

. U } Z. 1 3

• G 10

• 3 u 3 7 .00004

.03332

-.COCCI

-.03CC3

- • 5 -.00037

- . a - w 3 9 -. 03311

- . j - 3 1

- • ii 1

- • j , '. i 6

-.03. 17

-.tOC 19

-.0 3C20

-.0 33 21

— . J J 1. L. 3 -.03.24

-.0 00 25

-.3 00 26

-.3, .27

-.03327

-.03029

-.0.333

— . www Oj, — • i j u 31

138
Table 20. Continued.

Th r ISCCHOPF Af 13. )!". 'OL/L

TtK r, ,,/}:: OP/DO D P / O T 3..P/CT2

c 7 6 . u 3 "

.

j58 3} 976 3.97o9 03133

?«2.

;

tt. l76 43, 67 3 3.9318 Q 3113

2 3 6 . ; 6 2'. 211 47,,3s: 3.9658 J. 292

: 9 ; .

.

7~. 161 52, 354 3.96 92 J 3 C 7 3 294.: 94. 124 5 4,, 549 3.9^21 o^ 3 66

2 q « m 'i 1 1 2 . G 9 7 5b, 119 3 . 9 9 4 5 3 3 2 55

?<L 2.2 12b. :79 61, 665 3. 9965 3 J w 46

? : 6

.

r 14 2. y 69 65, 19 1 3.9932 9 3 38

?i;. .: 15 B

.. .6!? 68, 696 3.99 96 j - l 31

3 1 u . r 174. 365 72, 16 5 4 . C C I) 7 3 C C 25

318. C 19 3. 2 7 G 75, 65 6 4.C15 JjL19

3 2 2 . G 23c. 37 7 79, 112 4.C2 22 a».13

32 ft. 222. 387 82, 554 4. Cu2d J . t 9

o 3 1< • u 2 3 8 . J 9 fl 85, 981 4. C 29 033C4

334. C 25-. 11C 69, 3 96 4 • u j3j -

3 3 3 . C 27 3*123. 92 , 796 4 . :. .29 -, J

' u £ 4 742.

2 86. 13 2 96, 168 k.iitzs -, GC 2 c a 346. : 33 2. 142 99 ,5 66 4. C 223 - , j-311

35C.Q 313. 15 1C2, :>34 4. GG13 -,,03-314

7 5 4 . L 334. 156 1C6,,291 4.. C 12 -, UJC17

35 3. [ 35... 16.. xt 9 , 63 o 4. 22 34 - , 0CQ2C

36 2." 366. 16. 112,, 975 3.9996 -, d-i 22

7 66.£ 3.c 2.15 6 ll 6,,.30 3 3.9987 - , 0SC24

37 2.C 3 98. 14 9 119,,622 3.997o - .Owi 27

274.

:

414. 137 122, j3: 3.9 9 63 - : ... 2 9 17S.L 43 0.121 126, 233 3.9953 - ,33331

V Q O

w ~ C • : , 44 6. 13C 129 ,52 6 3.^941 - . 3 0G 33

38 6. C 462. :73 132 ,81. 3.9927 - , o j u 34

.3 9:.:. g 4 7 6 . * 4 2 136 , .57 3.9313 - > u 2 C 3 6

3 9 4 . L 494. .0 4 139 ,356 3.959o - , Q 2 G 3 3 396.' 5u 9. 96

j

142 , 61 8 3.9883 - ,002 39

40 2,0 52 3. 91 l 145 ,o72 3.9867 - , 0Gu40

4 3 6 . £ 541. 554 149 ,119 3.9551 - . :

1 42

4 i : . c 557. 791 152 ,35 G 3. c-'34 - 3 3:3 43

4iu.C 573. 721 155 ,593 3.9316 - , G w 3 4 4 4 1 S . [ 58 9. 644 15 3 ,319 3.9799 - , a o o 45

4 2 2 . C 60 5. 56' 162 .2 39 3.973. - .2.146

42 6. «j 621. 46ft 165 ,2 52 3.9762 - , j C 4 7 - 7 3.: 6 3 7. 569 16 8 , 46^ 3.9 7 42 - » .3 jC48

a. 3 4. • 653. 262 171 , 661 3. c 723 - iO-jG w9

^3 6. G 66 9. 147 174 ,356 3.97 33 - > 3 u 2 5 J 44 2. C 68 5. .25 176 ,2 4** 3.9683 - .2 3 3 51

139
Table 20. Continued.

Tbr ISOCHCRE AT 14.0 MOL/L

T,K P,SAP DP/QC DP/OT 02P/2T2

266.3- 2o. 931 66. 44 7 4 . 9 9 6 G -.03292

27C.C 4 8. 90 8 72.901 4.9924 — . j : c 3 3 274. C 63. 371 75. 324 4.939G - . u C 85

279.: 23. 32' 79.717 4.9657 - . a c e 3 232.

1G3. 757 3U.C33 4.9624 -. 02381

286-.C 12a. 68 r 8 B . <42 3 4.9791 — . <j C 8

29 3. C 14 a. -39; 92. 73n 4.9759 -.00090

2^4.: 163.48 7 97. J3„ -+.9727 — . J u u AC 293.0 198. 371 121. 3cc 4.9695 -.02030

?3-2

: .G 2j«.243 1C5.55U +.9663 -•(JQ281

3 6 • 2 22.3. 1G2 109.779 4.963C -.03181

310. G 247. 947 113.969 4.9593 -.0 w 62

314. j 257. 78v 113.131 4.9565 -.0-2 52

215.2 237. 599 122.355 4.9532 -.0ui383

32 2. : 33 7.4C6 12b. 512 ->.9h99 - . : g 3 3

3 2 6.C 327. 19^ 13 L

653 4.9466 -. Gu2 84

33:. C 54 6. 97 o 154.779 4.9432 -. G 3:84

33 4. G 36e. 744 13 8.889 4. 9 3 93 — . J j j 85

33 9. r 386. 497 14,.. 985 4.9364 — . v j C 8 6

342. C 406.235 147. :6 6 4.933: -. Go 3 86

:<<+6. : 425. -96C 151.134 4.9295 - • j tj 87

35S.G 445. 671 155.183 4.9260 -.3CG87

354.: 465. 369 159.23: 4.9225 -.33339

358.C 43?. :5 2 165.259 4.919u - . C u C 3 3 362.C 5G4.72C 167.276 4.9154 -.0*0 89

366. 524. 375 171.231 4.9119 -.33389

37 3 . C 54 4. Glfe 175.275 4.9.33 -.02 290

374.3 56 3. 64 2 179.257 4.9:47 -,. 0CG90

37 8.: 53 3. 25 3 133.226 4.9:11 — . u 1. J 91

2 3 2.: 6:2. 850 167.139 4.3975 -. sacgi

336.622. 433 191.139 4. o93o -.0.-91

7 Q "i 642. Lit 1 195. J78 4.3902 -.u0C92

394. C 661.554 199.3:3 4. 6565 -. 32 92

? 9 5.: 63 1.-: 9 3 2:2. 92 5 4. 6323 -.03.92

140
Table 20. Continued,

THE ISOCHCi AT 15.0 2 MOL/L

T,K P,3AR OP/DD l-F/UT 02P/DT2

250.

C

22. 149 131.76c 6 < 2596 -• J J 344

254.0 47.156 10 7.12 9 6. 2453 - . J 3 3 21

25B.0 7 t. lie 112.466 6 .232o — • j 3 C 3 26 2.0 97. :2u 117.779 6 < 221x -.3.3 2 87

266. C 121. 382 12 3.3 63 6

1

2. 39 -.C3273

27,. C 14 6. 7 j: 128. 321 6 19 92 - . 3 «261

274.

t

171.476 13 3.552 6< 189C -.03251

275. (: 196.212 1 3 .3 . 7 5 9 6 .1791 -.0 .242

23 2.0 22 :. 909 143. 941 6, 1695 -.00235

29 6, C 245. 56a 149. .98 6

«

16 03 -.0.2 28

29C.C 27 0.191 154.232 o« 1513 -.0 3 222

294. 29a. 779 159.344 6 ,1425 - . 2 216

2 9 5 . G 319. 332 16^.434 6 i 134 j -. j 3 2il

3C2.C 343. 651 169.503 6<.12 56 — . sj -j 2 u 7 30 6.0 368. 337 174.551 6 1174 - • 'j 2 3 313. 3 392. 791 179.57? 6 ,10 9* * . j 1 99

314. i 417. 213 184.56c 6 i 1C15 -.wcl96

319.0 44 1. 6 G 3 139.577 6 C937 -. J. 193

322. £ ^65.063 194.549 o G 861 -.00190

326.0 493.292 199. 5u? 6 u785 -.0,187

33*,. C 514. 591 204.438 6 0711 -.0 0185

334.C 53 6. 961 2C9.35 7 6. 3 6 38 -.03193

33 8. i. 56o. 13 2 214.2 59 6, C 565 - . .j 1 8 3U2.C 5 3 7.313 219.145 6 Oh 93 -.0 Jl78

346.? 611. 496 224.-15 6 -C422 -.U.177

35u.fi o3 5. 65 1 22 8.37 i' 6 i C352 -. 03175

3 54. C 65 9. 77 8 233.713 6 ,C 282 -.0 3173

353.

C

63 7 . 877 238.555 6 C214 -.03172

141
Table 20. Continued.

THE ISCCHO^E AT 16.00 MOl/L

T,K D ,5AR DP/DO OP/OT 02P/DT2

23 2.0 2.. 53 3 l5 r . 54 3 7.8281 --.J 663

234.0 36.17b 153.70& 7.615.0 -.03642

236.0 51.79% 157. .27 7.80 2-* -.0.623

238.0 67.386 16C.259 7.79ul -.00605

24C.0 82.954 165.484 7.7782 -.00538

242.0 9fc.49 G 166.702 7.7665 -.03572

24%.114.021 169.913 7.7551 -.0j557

246.0 129.52c 175.117 7.7*43 -.00543

243. 144.996 176.313 7.7536 -.31530

25?.C 163.455 179.5.3 7.7231 -.00517

252.175.891 182.685 7.7129 -.00506

254.0 191.306 185.860 7.7.29 -,00%95

256.0 206.702 189. 02° 7.6931 -.0046%

258.

222. .179 192.19' 7.6a35 -.-0<+74

253. G 237.436 195.344 7.6741 -.03465

262.0 25^.775 198. 491 7.6649 -.G3456

264.0 263. 096 2G1.632 7.6559 -.03447

266.233.399 204.765 7.647., -.00439

268. 298.66% 2C7.392 7.6533 -.03432

27*. 313.952 211. 012 7.6297 -.3,424

272.

32^.202 21%. 125 7.6213 -.30417

274." 34*. 437 217.232 7.613. -.00411

276. C 359.655 22-. 332 7.6049 -.0.404

278.0 37<+. 857 223.4<:6 7.5969 -.03398

230. '. 390.043 226.513 7.5390 -.00392

282.

405.213 229. 59* 7.5612 -.0C3B7

234.0 42.. 36" 232.65°' 7.5735 -.00381

236.

435.537 235.73b 7.5659 -.00376

288.0 45.. 531 258.83- 7.5535 -.03371

290.. 46 5. 741 2-+ 1.35 7 7.5 511 -.0 3 366

292.0 48,. 336 244.907 7.5*33 -.03362

294.0 495.916 247.952 7.5o66 -.03357

296.51. .982 253.993 7.5295 -.00353

298.0 526.03% 254.323 7.5225 -.33349

"Ou.f 541.272 25 7. "5 - 7.5156 -.Jj3 45

302.0 556.397 263.371 7.5-87 -.33341

3

n 4.C 57 1.13 7 263. ""87 7.5.19 -.03 337

3C6.C 586.104 266.^97 7.^952 -.00334

3C8.0 6C1..88 269. 1^2 7.4o86 -.03353

310.3 615. 05 G 272.131 7. 4623 -.30327

312.

631.016 275.395 7.4755 -.3-323

314.645.961 278.08% 7.4o91 -.30320

316.

66-. 393 281.067 7.4627 -.03317

313.675.312 284.345 7.4564 -.-031%

320.

693.718 287.31? 7.4501 -.00311

142
Table 20. Continued.

THE ISOCHOPt AT 17. jj NOi. /L

T ,K r, BA=> OP/DO OP/OT 02P/DT2

210.0 6.794 211.912 9.6194 -.31142

212,0 2 6.410 215. 672 9.7969 -.01107

214.

C

45. 382 219. 824 9.7751 -.01074

2 1 6 . C 65.511 223. 768 9.7540 -.01043

218.0 84. 99 6 111, 7J6 9.7334 -.01014

22 3.0 104.445 231.635 9.713* -.0 39 86

222.0 123. 552 235.556 9.6939 -.3 J96G

224.0 14 3. 221 239. 470 9.675 -.0 3 935

226. Q 162.552 245.375 9.6565 -.3 3912

226.0 181.847 247.272 9.6335 -.00890

230.0 201.107 251.161 9.6209 -.30869

232.0 22C. 331 255.042 9.6037 -.3 0849

234.0 239.522 256.914 9.5669 -.0 330

23 6. C 258. 679 262.778 9.5735 -.30812

23 8.0 277. 304 266. 634 9.5545 -.0 37 94

24?.? 296.397 270.481 9.5387 -.03778

242.0 315.959 274.321 9.5233 -.0 3 762

244. D 334. 991 278.152 9.5 82 -.03747

246.

C

353.993 281.974 9.4934 -.03733

248.0 372.965 285.789 9.4739 -.03719

25 0. 391. ctG 5 289.596 9.4647 -.037C6

25 2.0 410. 32 4 293.395 9.4507 -.03693

25 4.0 429. 711 297.185 9.4370 -.30681

256.

C

448. 572 30 0.96 8 9.4234 -.00669

258. G 467. <*C5 304.743 9.4102 -.03659

260.

G

486. 213 30 8. 51

C

9.3 9 71 -.00647

262.0 504.994 312.270 9.3843 -.03637

264.

C

52 3.750 316.021 9.3716 -. 01627

266.

C

542.481 319.766 9.3592 -.03617

268.0 561.187 323. 502 9.3469 -.00608

27C.il 579. 368 327.231 9.3349 -.0 5 99

272.0 59«. 526 33 0. 95 3 9.3230 -.00591

274. C 617. 160 334.667 9.3112 -.00582

276.

G

635. 771 338.374 9.2997 -.00574

278.0 654.359 342.074 9.2683 -.00567

280.0 672.924 345.767 9.2770 -.03559

2 8 2.2 691.467 349.452 9.2659 -.33552

143
Table 20. Continued,

THE ISOChO 3 ? AT is. aa mol/l

T,K P,3AP CP/OD DP/OT D2P/0T2

18".16. 1G9 296.410 12.3423 -.01833

193.0 kZ, 75301.279 12.3353 -.01782

192.

65.333 3G6. 14 12.2737 -.01729

194.3 89. 341 310.992 12.2366 -.01679

196. r. 114.281 315.83'+ 12.2C35 -.31631

193.

138. 655 32o.667 12.1714 -.01586

20 i. 162.967 325. 49C 12.1401 -.31543

2:2.: 187.216 33;. 30

12.1096 -.01503

2H4.G 211. 4C6 335. 1G7 12. C 8 -.31464

236. 235.537 339. 9Gi 12.1513 -.01423

2 Q 3 . Z 259. 61 i. 34h. 683 12.0228 -.01393

2U.Q 283.626 349.456 11.9953 -.313 59

212. G 3G 7. 59 2 354.219 11.9685 -.01323

214.0 331. 503 358.971 11.9422 -.01297

216.

355. 361 363. 713 11.9166 -.31268

213. C 379. 169 368.445 11.8915 -.31241

2 2 & . 40 2. 92 3 373.167 11.3669 -. J1214

222.

426. 637 377. 879 11.6429 -.01189

224. C 45 0. 30 l 332. 53 r 11.6194 -.01164

226.0 473.915 337.272 11.7963 -.01141

22 8. C 497.1+85 391.953 11.7737 -.01119

233.0 521. :ic 396. 62** 11.7516 -.01097

23 2. 'J 544. 492 451.285 11.7298 -.01376

234.0 567. 07Q 405. 937 11.7035 -.010 57

236. C 591. 326 41 C .578 11.6676 -.010 37

238.

614. 681 415. 21C 11.6673 -.U1Q19

240. C 63 7. 994 419.832 11.6468 -.01001

242.3 €61.268 424. <+4i+ 11.6270 -.00934

244.0 634. 502 429.047 11.6*74 -.L0968

144
Table 20. Continued.

THE ISGCHORE AT 19. JO MOL/L

T,K P,BAR CP/dO uP/OT D2P/GT2

16 3. G 14.595 401.9 32 15.6569 -.0 3j 33

164.

C

3C.23 7 40 5. G C 15. 6266 -.02987

165.0 45.849 4 G 8. 016 15.5972 -.02933

166.0 61. 432 411.029 15.5633 -.02890

167.

C

76.985 414.341 15.5.J94 -.02644

168.

C

92.511 41 7^ 4 8 15.5111 -.32799

169.

Q

108. 306 420.0 5 4 15.4834 -.02755

17 0-.fi 123.476 423. G57 15.4561 -.32712

1 7 1 . B 13 b. 920 42 6.05 7 15.4291 -.02670

172. g 15 4. 336 429.055 15.4. 26 -.0 2633

173.0 169.726 432.049 15.3765 -.0 25 90

174.

C

185.08 9 435.041 15.3508 -.02552

175.fi 20 0. 42 7 433.*:3: 15.3255 -.02515

176. C 215. 741 441.016 15.3G05 -.02478

177. C 231. j29 443. 999 15.2759 -. 02443

17 8.0 246.292 446.979 15.2317 -.02403

179.

G

261.532 449.956 15.2273 -.02375

180.0 276. 746 452.931 15.2G42 -.02342

181. C 291. 943 455. 9G2 15.1809 -.02310

182.0 307. 11C 458. 87G 15.1530 -.02273

183. u 322.257 461. 835 15.1354 -.02243

134.

C

337. 381 464.797 15.1130 -.02213

... — 185,G 35 2.48 3 467. 75 6 1-5.0-910 -..32189

186.0 36 7.56 3 47G.712 15.0692 -.0 2161

187.0 382. 621 473.665 15.0478 -.02133

18 8. Q 39 7.65-3 476.614 15.1266 -. 21G6

139.0 412. 674 479.561 15.3056 -.G2G80

190.

C

427.670 462.504 14.9650 -.02054

191.0 442. 644 485.445 14.9646 -.02029

192. n 457. 599 438.382 14.9444 -.02004

193.0 47 2. 53 3 491.316 14.9245 -.01980

194.0 487.446 494.247 14.9C48 -.01957

195.0 502. 343 497.175 14.8(353 -.01934

196. C 517.219 50b. ICC 14.8o61 -. 31911

197.

G

53 2. 07 5 5G3.021 14.6471 -.018 89

193.

C

546.913 5G5.94*. 14.6283 -.31868

199.

C

561.732 503.855 14.8C97 -.01847

23-2*4 576.532 511.767 14.7914 -.31826

2G1.C 591. 315 514.677 14.7732 -.31806

202.0 6C6.379 517.533 14.7553 -.31786

203.0 62C.825 52G.H86 14.7375 -.01767

204. 635.554 523.385 14.7199 -.'517 48

205.0 65 0. 26 5 526.232 14.7025 -.31730

206.

G

664. ^59 529.17 6 14.6853 -.01711

2C7.0 679.636 532.06 6 14.6683 -.01694

208.0 694.296 534.954 14.6514 -.01676

145
Table 20. Continued,

THE ISOCHO^E AT 20.00 MOL/L

T,K P,9AR CP/OD DF/OT 02P/DT2

136.C .29 535.387 20.1-33 -.05204

137.

20.367 539. 100 20.0522 -.05104

138.

40. 39 4 542.813 20.0 }17 -. 35CC7

139.0 60.371 546. 525 19.9521 -.04913

14 0.C 8. . 29 9 55C.235 19.9034 -.04322

lflt.fi 10 j. 17 8 553.945 19.8556 -.04733

142." 12:. :i: 55 7, 653 19.80 67 -.C4648

143.0 139. 796 561.359 19.7627 -.0 4565

144.

15°. 536 56 5.0 6 4 19.7174 -.0*434

145.0 179. 231 568.767 19.6730 -. J44C6

146. C 198. 582 572.469 19.6293 -.04330

147.

218.490 576.168 I9.5d6<t -.04256

14 8. C 238. 055 579.866 19.5*42 -.04185

149.0 25 7. 579 533.561 19.5>.2 7 -.04115

150.

277. J61 587.254 19.4619 -.0 40 48

151.

29 6. 50 3 590.94 5 19.4217 -.03982

152.

315.905 594. 633 19.3822 -.03918

153.

335.267 595.31° 19. 345* -.03356

154. c 354. b91 6C2.C03 19.3i.51 -.C3795

155. C 37c, 376 605.684 19.2674 -.03737

156.

39i.l27 609.363 19.2304 -.0 3679

157. J 412.339 613.039 19.1938 -.3 3624

15B.fi 431. 514 616. 712 19.1579 -,u3570

159.

45" .65 5 620. 332 19.1225 -.03517

16 3. C 469.759 624. 05 19. C 375 -.03465

161. a 488. 330 627.715 19.0 531 -.03415

16 2.

507. 566 631.377 19. n 192 -.03366

163.: 52 6. 86 8 635.036 1 8 . 9 c 5 S -.0 3319

16^.2 545. 83 8 638.692 18.9529 -.0 32 72

165.

56-.77u 6*2. 3*5 18.9204 -.03227

I66.1" 5 5 3.679 6h5. 995 13, 5533 -.03183

167.: 602,551 649.643 18.8567 -.031*0

16 8.': 621. 392 653.237 18. 8255 -.2 33 98

16Q. 640. 20 2 65 6.92 5 18.7947 -. C 3j 57

17:. », 655.932 66 r .566 18.7644 -.U3C17

i7i.: 677. 731 664.20" 13.7344 -.02978

17 2.: 696. 451 667. {532 18.7048 -.329*0

146
Table 20. Continued,

TH : ISGChORE AT 21.0 j MOL./!_

T,K P, BAR DP/DO OP/OT D<iP/DT2

1 9 . C . .39 3 71G.12 5 26. L l<+2 -.08377

1 1 c . c 2b. 363 714.469 2 5 . 9 £ 6 4 -.0 3670

i i i .5c. 24 7 718. 823 25.8 4 07 -.0 8471

112. L 7 8. 045 723.158 25.757, -.0 3279

113.0 10 3. 761 727.561 25.6751 -.03094

114, D 129. ?96 731. 944 25.5951 -.07916

115., 154. 952 736.335 25.516? -. j7744

116.

G

18 C. *3C 740. 734 25.44d2 -.07579

117.0 2 0*". 33 3 745. 141 25.3652 -.07419

118. C 231.161 749.554 25.2913 -.07264

119. f 25b. -*17 753.974 25. 2 199 -.07115

123. C 281. 602 75d.40 25.1495 -.06971

121.0 3G6.717 762.832 2 5.0805 -. 6832

122.0 331.763 767.270 25. 0123 -.06697

123.0 356.743 771. 712 24. 9465 -.06567

124. C 381. 65 7 776.159 24. 3515 -. 0o441

125. - 40 6. 5G 6 75C.611 24.8177 -.06320

12 6.0 431.292 78 5. 066 24.7551 - • 62 2 127.: 45 6. G16 78 9.52 6 24.6936 -.06087

123.

48,. 6 8.; 793. 989 24.6333 -.05977

129.

:

5c 5. 28 3 798. -+54 24.5741 -.05870

13:. c 529. *2« 802.923 24.5159 -.05766

131. C 554. 316 607.395 24.4537 -.05665

J12.C 57-!. 746 ill. 36 9 24.4026 -.05567

13?. C 603. 121 316.3^5 24.3474 -.05473

134.0 627.441 82 C. 82 3 24.2931 -. j5381

135.

C

6 51.7Gb 625. 303 24.2398 -.05291

13 6.: 67a, 921 829. 785 24.1873 -. 05205

THE ISOCHC9E Al" 22.00 KOI./L

T,K P, nft? DP/OO OP/OT D2P/DT2

96.0 471. ^42 96<+. 69.: 31.8231 -.09388

°7,C 502. 816 989.514 31.7302 -.09178

98. C 53-*. 50 3 99 4. 37 9 31.6394 -.03976

9o.C 56 6. 09 8 999.231 31.5506 -.03781

10G.0 59 7. 60 5 IOCH.22: 31.4633 -.00595

1 1 . Q 629. j2o 1009. 19** 31.3737 -.03415

10 2.0 66 l • 36 3 1014.202 31,2954 -.13242

10 3.* 691.617 i:i9. 242 31.2139 -.08076

147
Table 21. Calculated P(p) isotherms.

The following pages gives P(p) isotherms, as computed by the equation

of state (5). The third column DP/DD is the isotherm slope (3P/3p) in units

of the bar and mol/£. The last two columns give the isochore slopes and

curvatures, DP/DT = (3P/3T) , D2P/DT2 = (3

2P/3T 2

) in units of the bar and

Kelvins.

These tables show that 3P/3p is non-negative, and that it increases

monotonically with density to pressures about twice those used for adjusting

the equation of state. f/r

148
Table 21. Calculated P(p) isotherms,

THE ISOTHERM AT 95. uQ OEG. K MOL/L P,BAR DP/dO DP/OT D2P/DT2

21.55 32.3C4 828. 12C 29.8533 -.113C97

2-1V63- 74.131 -8^4.951 3:'.„757 -.111436

21.65 116. 8C1 861.843 31.2997 -.109723

21. 7C 160.316 878.777 3C.5254 -.107954

21.75 204.679 895.731 30.7528 -.106129

21.80 249.869 912.653 30.9820 -.104244

TH £ ISOTHE- H AT lOu.OO OEG. K *CL/L P.6AR OF /CD OP/DT O^P/OT2

21.35 16.822 783.592 28.4217 -. 104420

21.40 56.416 8 0U.187 28.6444 -.103266

21.45 96.841 816.904 28.8b87 -.102l74

21.51 133.1'7 833. 732 2

C .0949 -. 1GG841

21. 55 180.217 85w .656 29.3229 -.i 99567

21.60 223.175 867.661 29.5526 -. .962*9

21.65 266.964 804.732 29.7843 -.0 9 68 85

21.70 311.649 9C1.849 3w.ul79 -. 095<+75

21.75 357.170 918.992 30.2535 - . u 9 40 1

7

21.60 403.545 936.139 30.4912 -.G92508

21.85 45C.783 953.265 3C.7309 -. 09u948

21.90 498. 673 970.341 30.9729 -..39335

21.95 547.815 937.338 31.2171 -.067669

22. j a 597.605 1004.220 31.4638 -,C859<+6

THE ISOTHERM AT Hi, 00 OEG. K MOL/L P,BAR OP/CD DP/OT C2P/OT2

21. CO 26.363 714.<+69 25.9264 - . .3 67.

21.05 62.4 6.2 730. 306 26.1443 -. .86159

21.10 99.397 746. 324 2 6.3650 -.065598

21.15 137.117 762.516 26.5871 -.085015

21.20 175.652 7 78.8 32 26.3110 -.G8 44C9

21.25 215.0 08 795.409 27.0369 -.C83779

21. 30 255.195 812.0 93 27.2647 -.083124

21.35 296.220 828.926 27.4945 -...82442

21.40 338.090 845. 898 27.7263 -.0 81733

21.45 380.811 8 62.999 27.9602 -. 06.9^5

21.50 424.391 8 80.219 28.1962 -.c3G226

21.55 468.835 897.545 28.^343 -.079427

21.63 514.148 9l4,9fc2 28.6747 -.078596

21.65 560.333 932.456 28.9173 -.2777ZZ

21.70 607.395 9 50. 08 29.1623 -. C76834

21.75 655.335 967.6>:r 2 9. 4 C 96 -.175902

21.80 7 04.155 985.210 29.6594 -. u 74933

149
Table 21. Continued.

THE ISOTHE! AT 12G. uG DEC K *OL/L

23.6:

20.65

2G.T J 20.75

2 » 8 C 2C. "5

2 o . q o 2C.95

21. CO 21.-G5

21. 13

21.15

2 12 ; 21.25

21. 30

21.35

21.40

21.45

21.50

21. 55

P,E AR 3.211

35.360

68. 246

1L1.879

136. 270

171.427

207.362

244.0 83

2 81.6.-2

319.926

359. 1 67

399. l32

439.932

481. 474

523.966

567.318

611.537

656.627

7C2.6i.l

749.461

CP/CD

635.

a i 650 . 316

665 . 1 56

63: .198

695. 443

71C . 5 97

726. 530

7^2.369

758.4-0

774 .622

7 91. 29

9:7.618

324. 38*

841. 320

358. 420

975.677

8 93.3 83

9,1.0.627

928. 301

946.J92

DP/OT

23.4394

2 3.6466

23.3556

2"+. -665

24.2793

24. W9Z9

24.71o5

24.9290

25.1495

25.3719

25.5964

25.3229

26.0516

26.2823

26.5152

26.75C4

26.9877

27.2274

27.4695

27.7140

D2P/0T2

-.071609

•0 7140 9

-.071201

•. 07G992

-.07:753

.C7J513

-.070259

-. £69993

-.-69712

•. 6 941

-.069103

•• -69774

.063427

••a 680 62

-.'. 67678

-.067274

-."166349

•. ,.66402

-.G 6 59 34

-.065443

THE ISOTHERM AT 140.00 O-G. K MOL/L

19.85

19.91

1 Q .95

2 : . c ] 20. C5

2 S . 1

20.15

20.20

20.25

20.30

20.35

2 0.40

2c 45

2 0.50

20.55

20.60

2C.55

20. 7C

20.75

2C.3?

20. 65

20.90

2C.95

P,6AR

.5°7

26.541

53.105

80.2 99

1G8.132

136.615

165.756

195.571

226. C 64

257.243

289.134

321.731

355. C50

339.102

423.897

459.447

495.761

532.951

570 .726

609.393

643.677

689.174

7 3 0.299

dp/to

512.755

525. J51

537.543

55G .235

5 63.128

576.224

539.523

6 3.028

616.7 40

63C . 660

644.739

659. 126

673.678

6 38. 4*0

7 '3.415

719. 6G2

734.0 02

749.615

765 .440

781.477

797.725

314.194

330 .85G

OP/OT

19. 35<*7

19.5359

19.7163

19.9034

2Q.0O93

2- .2779

2C.4678

20.6595

2 C. 9 5 30

21.G403

21.2455

21.4445

21.6453

21.3481

2 2.0523

22.2594

22.4680

22.6786

22.3912

23.1058

23.3226

23.5415

23.7625

D2P/OT2

-.04 80 31

-. k.480 hZ

-. 048154

-. :4S217

-. U 4828G

-.u46343

•• 48404

-.C48464

-.048522

•.

r!43577

-.048629

-.0 4 8677

•. 0h6721

-.043761

•.0437^7

-.043926

.*4835C

-.046363

-.043379

-. -43363

-. .48360

-. 048669

-.043650

150
Table 21. Continued.

TH E ISOTHERM AT 16 COG OEG. K MOL/L P,f- AP OP/ CO OP/OT D2P/OT2

19. 1C 7.765 412.780 16.J56J -. 3 2216

19.15 25.657 ^22,966 16.2111 -.032333

19.2? 50. C b4 433.322 16.3676 -.032453

19.25 71.993 443. 351 16.5257 -.032577

19.30 94.452 454.556 16.6853 -.*>32704

19.35 117. 451 465. 437 16.8464 -.032834

19.40 140. °99 476.499 17.0091 -.0 3 29 67

19.45 165.10 4 437.742 17.1734 -. c 331 01

19.50 169.776 499.169 17.3392 -. 033238

19.55 215. G 24 510.733 17.5C66 -.0 333 77

19. 60 240.858 522.585 17.6757 -• u 3 3516

19.65 267.286 534.578 17.3463 -.133657

l Q .7j 294.319 546. 764 18.8186 -. 033799

19.75 321.966 559.145 18.1925 -. t 33941

19.80 350.236 571.723 13.3681 -.034084

19. 85 379.141 584 .5u0 18.5454 -..-3 4226

19.90 418.690 597.479 18.7244 -.034369

19.95 438.893 blu . 662 1 b . 9 C 5

1

-.-34511

2 r . G 469.759 624. 050 19.0 875 - • Q 3 4 6 p 3 20.05 5C1. 301 637. 6<*6 19.2717 -.o34794

20. 10 5 3 3.523 651.451 19.4577 -. 34933

2C.15 566.450 665. 4b7 19. 6455 -.u35072

20. 2C 6CJ.C73 679.697 19.8351 -.035209

2C.25 634.^23 694. 141 20.3265 -.035344

21.30 669.4 95 7 L3 .3-2 2. .2193 -.035477

2U 35 7C5.3G7 7cZ. 631 20.4150 -.035608

20. 40 741. 667 738.779 2 C. 61 21 -.135737

151
Table 21. Continued

TH E ISOTHERM AT 1 8 £ . DcG. '<

MCL/L P,SAR DF/DO DP/OT U2P/DT2

.05 .728 14. 133 . bu 43 -.3 30332

18. 3£ 6.713 323.616 13.2566 -.C21561

16.35 23.^97 331. 364 13.3672 -.021672

ie.«tC 3 9 . 9 •; J 34C .292 13.5191 -.021767

18.45 57.123 348. 3%4 13.6522 -.C2l9o5

ie.5 n 74. 7 97 357 .54u 13. 7666 -. C22329

18.55 Q ?.6b5 3b6.333 13.9224 -.o22155

16.63 111.428 375.374 14.0594 -.322234

16. 65 130.^25 33^.517 14.1973 -.022417

18. 7j 149.882 393. 313 14.3374 -.322552

18.75 169. ecs 4 ; 3 . 2 65 14.4785 -.02269u

18.80 190.211 412. 374 14.5239 -.-22831

18.85 211.099 4 22.643 14.7646 -.022974

18. 90 232.478 432.5 74 14.9C97 -.4*23123

18.95 254.359 442. 669 15. J563 -.323268

19.00 276.743 452. 931 15.2342 -.C23417

1 9 . C 5 299.655 463. 361 15.3535 -.323569

19.10 323. G 87 1*73.963 15,5043 -.323722

19.15 347.053 434. 733 15.6565 - . Q 2 35 77

19. 2C 371.564 495. 6o9 15.81Q2 -.3 2 40 34

19.25 396.626 5:6.819 15.9654 -.o24192

19.30 422.243 516.128 16.1220 -.02+351

19.35 443.441 529.621 16*2802 -.

r 2<*511

19.40 i*75. 21k 541. 3.G 16.-f399 -.C24672

19.45 5o2.575 5 53. 166 16.6C.11 -.0 2 48 34

19. 5G 530.5 33 565.222 16.7638 -.024997

19.55 559. 110 5 77.471 16.9282 -. u 25161

i Q .63 583.2 54 569.914 17.0941 - . u 2 5325

19.65 618.G95 6„2.555 17.2616 -.o2549J

19. 73 648.543 615. 396 17.4333 -.325655

19.75 679.633 623.439 17.6016 -.325320

19. pa 711. 390 641.6 87 17.7741 -.325985

19.85 743. 81G 655. 141 17.9482 -.02615a

152
Table 21. Continued.

THE ISOTHERM AT 200. QO DcG. K MOL/L P,BAR OP/CO DP/DT D2P/DT2

.05 .813 15.92C .0042 - . j C

' 1 .iu 1.592 15.241 . u u 66 -. jO0 04

17.45 6.343 2<+6.4":)l 1.0.8812 -..142 37

17. 5r 13.832 2 53.Q8.fl 1 C . 9 9 i -.0143 31

17.55 31.653 259.783 11.13G5 -.014429

17.60 44.813 2 66. 6 ul 11.2117 -. ul4529

17.65 58.315 273.535 11.3240 -. 14633

17,7 j 72.168 2 83 .5 38 11.4373 -.

r

. 14739

17.75 66.376 2 87.761 11.5517 -. C 14849

17.80 UC.9^6 295.055 11.6672 -.0149 61

17.65 115. 684 3C2.474 11.7638 -.u 150 75

17.92 13*1.196 31G .016 11.9.14 -.015192

17.95 146.8 68 317.689 12.0202 -.015312

18. j 1 162.967 325.490 12.14:i -.0 15434

18.35 179.439 333.422 12.2611 -. 015553

18.10 196.311 341 .4>=7 12.3633 -.'. 156 8.5 16.15 213.590 349. 666 12.5.66 -. "15313

18.20 231.262 358.023 12.6311 -. :i59*4

16.25 249.394 366.499 12.7567 -..u 160 76

18. 3C 267.934 375.11b 12.ae36 -.016211

16.35 236. 908 333 . 376 13. 2116 -.016347

ie..»»a 306.324 392.762 13.1409 -.016435

18.45 326.109 401. 334 15.2714 - . lo625

16.50 346. 5 10 411.036 13. 4l 31 -. 01o7b6

18.55 367.295 4 20 .3 90 13.5361 -.016909

IS. 60 383.552 429. 398 13.5703 -.0170 54

18.65 410.2 68 439.561 13.80 59 -.C 172o

3

18.70 432.511 449.383 13.9427 -. 017348

- 16.75 455.229 459.366 1 4. j 3c 3 -.0 17497

18.82 478. 458 469. 511 14.2202 -.017647

13.85 5C2.183 479. 322 14.3610 -..17799

18.90 526.435 490. 300 14.5631 -.017952

18.95 551.215 5 iq .947 1 4.6465 -.ciSlTS

19. j . 576.532 511. 767 14.7914 -. ' 16262

19.05 602.395 522.762 1^.9376 -..16413

i Q .ir 623.812 5 33.9 34 15.0652 -.013576

19.15 6:55.7 91 545.285 15.2343 -.G18734

19. 2C 683.343 556.319 15.3348 -.015394

19.25 711.476 568.537 15.5363 -.019054

19.30 740.21. o 561.442 15.6°02 -.019215

153
Table 21. Continued.

TH E ISOTHERM AT 220. j0 D£G. K MOL/L P,BA3 OP/DD OP/DT 02P/OT2

.10 1.7 65 17.029 .00 36 — »QGliS02

.2H 3.4^.6 15.797 ..178 -•u-10ul3

16, 60 2J.9C1 187.103 6.9 5 60 -.0 9127

16.7? 40.137 197.667 9*1402 -. :D9299

16.50 60.447 208.604 5.3279 -. 00^479

16.9: 81.670 219.922 9.5199 -.0 3 9667

i7.do 1C4.445 2 31.6 35 c .7134 -. .09362

17. 1G 128.211 243.753 9.9114 - • u 1 C 63

17.20 153.210 256.288 10.1131 -.010271

17.30 179.483 269.254 10.3185 -.01.485

17.40 2 7.075 2 32.662 It* 5 2 77 -.010705

17.50 236.031 296. 525 1C.7409 -.01 09 31

17.6C 266.396 31C.8 58 10.9577 -.011162

17. 7 298.216 325.674 11.1763 -•0-11399

17.30 331.547 340. 936 11.4u39 -.U11641

17.98 366.433 3 56. 314 11.5333 -. 011839

16* JJ 4..2.9Z8 373.167 11.8669 -.012140

1

B

. 1 G 4ul. 3 t>5 390 .064 12.1050 -.012398

18. 2D i+60 .959 407*519 12.3475 -.012660

16. 3 522. 6C3 425.550 12.5946 -.1.12927

18.43 566. C 69 444. 1 7<+ 12.3465 -.,13199

18.50 611. »+63 463.403 13.1031 -.013*+74

18. 60 653.791 4 33. 2 69 13.3646 -.013755

13.7* 7 j 9. 138 5 ".3. 776 13.6311 -.0140 40

154
Table 21. Continued.

Th I ISOTHERM AT 2 4 » . '„ - DEC K MCL/L •» , 9 A 9 op/ro DP/DT l2°/uT2

• 1

.

1.9 36 1 ^ 7^5 . J C 3 5 -, !.' u u ii L 2 .2: 3. 7

r 9 M o77 ,ui7& -, : '-:" 3

• -..- .. 5 . 4- 71 16 5 5 3 .-271 -. - A -_ .- L_ J

. +? 7 .' 71 15 . 4 ui ,:373 -. : 3 3 41

. 5: 8 . 5 5 9 .4 32 6 . .1+81 -. wJ,J7

15.5 D 1 1 . 7 - ^ 122 457 7 .. w l 6 3 -, c : 5 : 5 15.6. 2 4 . ** , 3 1 o'L . j 68 7.15 55 -. .. vi519 3 15.7, 3 7 . 8 „ 3 137. * 7 9 7.31 72 -, . .5364

l r. °

:

52. . .8 146 .13. 7.4615 -, . J 5532

1 f

.

c : 67. C 49 154 ,6 79 7.61 3 -j -, c J 57 l 4 16.: g 82.954 163 . 4 8 4 7.77 82 -, .; 5373

1 fa . 1 j 99. 7 56 172. 6,4 7.-4.7 -, .-6: 55

16,?: 117.486 1 32 :49 8 . 1 -. 6 J -, : 62 34

1 6 . 3 li 136.177 191. 827 8.27 42 -, C j 6*1

7

It.'* G 155.863 2:i ,9*9 " .44 54 - £ 66;'. 3 1 & . 5 : 176.5 73 2 12 425 0. 61 9o -, , jo7 c i

1 e. . &

193.3 6a 223. 2o5 d . 7 9 7 3 - t £ 6 9 s 2 16.7: 221.24.4 2 34 t+79 8. 9 7 75 -, '.-37177

1 c . Si; 2*5.263 2 '.6 j 79 9 . 1 6 1

2

-. C C7375

1 6 . 9 1 2 7..U73 2 53 1 76 9.3 4 83 -, - 3 75 76

17. u 296. 397 2 7: , <+ Q l *3.5 7 37 -, : £ 7 7 ? 17. i: 324. 5»3 2 83 .37 n . 7 3 2 7

- , 07987

17..?: 353.573 296 .5 66 9 . 9 3 C

1

-,.0 8198

1 7 . 3 £ 3 8 3.911 31: .2 71 1 ... 1 2 1

2

- , '. t 3413

17. 4£ 415.643 724. 434 1 , . 3 3 5 9

- . ] j 6 6 3 C 17.5c u48, 814 3 39 , : 69 1" .5445 - ,v j 3852

17. 6C 483.4 73 3 54 .191 i£. 7569 - .

' : 5 C 7 7 17. 7: 519.669 7 69 . 8 1 3 li .9732 - > 3 93

17.?: 557.453 3 65. 95f. ll.l r 36 -, ..J9538

17. h- 596. 8 77 *: 2 .613 11.4181 - . :-C 977<+

1

ft . .: : 6 37.994 U 19 ,8 3c 11.6468 - 1 : : 1

4

1 h . 1

£ 8 . 8 6 2 437 ,608 11.8793 - , : i '.. 2 5 3 1 8 . 2

'". 7 2 5.535 *+ 55 . 962 12.1173 - c 1:5*5

155
Table 21. Continued,

TH[ ISOTHE-! AT d: K ^CL/L

.1"

. 2S

.3:

.4?

.53

.6"

. 7'"

a

-

• -> - .9*:

14. 3:

14.4-:

14. 5C

14.60

14.70

1 u . 8 G 14. Q : 15.-:

15.10

15. 2C

15.3.

15. a: 15.50

15. U

15.7.

15.5:

15.93

le. .: if:.i:

16. z

' 16.3:

1 6 . 4 C 16.5C

1^ .6

_ lb. 7C

i e . °: •; l^.c-:

17. j

17. i:

17. z: 17. 3C

17. 4 . 17.5'

17.6:

17.70

D ,5A = 2 . 1 j. 6 4.11 J 5 -. 1

7. 8iQ

9.5:3

11. 1C7

1 2 . t e 7 14. •' 10

15.317

16 . 5 3 j 18.970

26.641

34. £43

43.5 97

52.9<i4

6?.bH7

73.3 88

fl 4.572

96.42?

lild.9 64

122. 2Z2

15S.225

15:. 998

166. 570

152.97.

Z G : . 2 2 7 218.372

237.436

Z57.4 52

278. 45Z

3.3.471

323. 5U

347.7,7

3 72.9 97

399.453

4Z7. 113

456. 19

4 8 6 . Z 1

517.775

55U.634

584.951

6 2 .3 . 7 7 5

6 5 8.^33

6 96. 6 96

737.375

DF/DO

ZC

543

19.5ZC

18.500

1 7 . 4 C 7 16.454

15. ^^3

14.515

13.549

12. 595

11. 652

74 .130

79.3 53 84.744

90 . 368

^6.212

1.2.2&2

1 : 3 . 5 8 5 115.127

121.916

128.958

136.261

143. 333

151.680

159.312

1 bS . 235

176.959

185.993

195. 3t

2: 5. .,23

215.035

2 25.4.0

236. 117

247.202

2 56. 664

270. 515

2 o2.765

2 95.426

3 "3. 51c

322. 330

335.995

350 .427

365. 331

3

q G . 724

396.619

413.032

of/dt

.:: 85

.017*4

.0268

.0366

..469

..3 77

. j 6 9

. Z 6 j 3 .0932

.1063

5.3492

5 • 46 8 1* 5.5697

5.7133

5.8363

5.9657

& . : 9 5 2 6.2269

6.36 08

6.4970

6.63 54

6. 77b3

6.9196

7.0 6 53

7.2136

7.3644

7.5179

7.6741

7.833.;

7.9947

0.15 93

a .32 69

5.49 74

5.67:9

8.3476

9. .275

°.21u6

-.3971

9.5670

9.78:4

'3.9773

10 .1773

1..3321

10.5901

10.8C20

D2P/3T2

.

r c j o : 1

. C 00b

. C-3 i. n

. 1 3

. J0:"25

. OOju 43

. : c : e- 8

. G C 1 1 •00 OI46

. J . !. 8 .1.0:295

.0C1671

. J G 1 8 66

.u 2 3 54

• C-Q 2238

..02418

.0*2595

. o27 73

..u2942

.003113

. .03284

. . 03454

. .03623

..33793

. C 3963

.0-4133

.004334

• j C *+ 4 7 6 .^346-9

.03 4323

. .04999

. 05176

. C 5356

..05536

. . 05719

. j 59 C 4

. .06092

.0062 82

. . J6474

. 3 3 06 63

.CO 6866

..07066

.. 07269

. CO 7475

. .0 76 84

.CG7897

156
Table 21. Continued.

THE ISOTHERM AT 2 8C. DIG. K MOL/L °,8LR OP/DO OP/CT

.20 4.458 21 .3 59 .oi74

. 4U 8.538 19. 4 72 . 2362

.50 12.249 17 ,652 .£566

.80 15.6C3 15 .892 . J786

l.CO 18,611 14 ,197 .1022

i . 2

" 21.286 12 , 56a .1275

1 . 4 23.642 11. 004 .1546

1.60 25.692 9 ,5,2 .1836

1.83 27 .44? 8 .058 .2143

12.80 3]. 5 73 35 ,683 3.7975

13. :c 53.315 41 i 831* 3.9795

1.7. 2

n 47.343 43 , 5*6 4.1673

13.40 57.775 55 .376 4.3613

13.-65 69.736 63 ,351 4.3619

13.8" 83.361 72 514 4.7694

14. jC 98.793 81. 9C3 ^t.984d

14. 2 C 116.17i+ 92 , 064 5.2G61

14.40 135.6 70 1-3 , 3 40 5 . i»3 53

14. &: 157.4^7 114. 38P 5.6736

14.60 181.6 63 127. 633 5.9196

15.

:

: 20 8.5 65 141 352 6.1743

15.20 233.2^2 156 ,093 f .4379

15.itv 271. £ 74 171,,91b 6 . 7 1 v 3 15.6* 3"7. 135 138, S82 6.y%33

15. 9 346. 7"

6

2 .7, 357 7.2659

16. C j 3^0.0^3 226.,513 7.5590

16.

2

r 4 37.4:3 ?<*7 ,324 7.90 29

1 tr. 4 489. u68 2 69. 568 b.2262

16.63 545.3 32 2 93 . 3 30 8.5653

16.60 616. 507 313. 696 3.9147

i7.c: 672. 92u 345, 7 67 9.277u

17. 2C 744.9 34 3 74. 636 9.6527

02P/0T2

fJ ,.4

« V J » 1 1

.. G J 3 *4

3 a £ 8 6 J0C143

j c u 2 3 8 GjQ37:j

-JJ571

G Q 9 5 5

] 18.18 0O1213

Lii :712

0G0277

i i. j t, 11 5 ..47 7 J1619

001147

i J 1 -f c 4 vl7 75

GG2385

1 2 6 o 3 02992

DO 3298

0>*36C8

0C39<i2

.1*241

- w *567

1 49 J .035240

j 559

*0595u

157
Table 21. Continued.

H- I SOT HE 90. D

r G. K MOL/L P., BAR HF/DO DP/HT D2P/DT2

.2 n 4.631 22. 2 41 .0173 L 3 0: '3 .40 3. c99 2c .448 . 3 6 u - . 0oG15

.60 12.313 i8 .7.4 .0562 ,Cu-L 37

.8:" 16.385 17.021 ,.77^ V-C 0071

1.0 19.626 15.4 U 3 .1009 - jCj.18

1.20 22.550 13.352 .1254 u 1 ?.3 1.40 25.172 12.3 69 .1514 . 00263

1.6" 27.513 10.953 .1739 •. J j 3 3 2 1.61 2P . 557 9.60h .2u79 535

<_ • <- J 31. 349 3. 322 .2335 , G 7-,5

2.2: 32.891 7.106 .2717 010 50

2«*f3 34.196 5.95<+ .3049 ,0 01532

11. 30 37.395 19. 923 3.0123 , j 420

12.00 41. 771 23.925 3.1618 .03293

12.20 46.9 f 4 28.353 3.3160 I ] 26 4 1-2.40 53.145 33.239 3.4756 > - c I 46

12.6o 60.322 38. 613 3.6403 ,-15 72

12. 3C 63.625 44.50 7 3.3119 01155

1 3 . 3 n 7 3.161 00 .954 3 . 9 8 S 2 ,000779

1.3. 2G 69. C L*b 57.969 4.1729 ,0 00430

17.4.; 101. 393 65 . 646 ^.3632 3 010 3 13.60 115.343 73.964 4.5503 0-.209

13. SC 131.: 30 62.981 4.7645 1 •-* %J \i \) J. u 14. CO 143. c 90 92.738 4.97 59 ,0008.3

14.20 163.173 1! 3.279 5.1949 .001.90

14.4U 189.957 114. 65U 5.4217 , 001374

14.6, 214. L 96 126. 893 5.6565 ,0 01656

14. 80 240.773 140074 5.3996 ,001936

1 5 . a c 270.191 154.2 32 6.1513 ..02217

15.20 30 2. 5 40 169.429 6.4120 , 249 9

1 5 . 4 333.0 36 185. 724 6.6819 ,u02734

15.60 376. 917 203.131 6.9615 , JiiOu 72. 15. eo 419. 391 221. 8c8 7.2511 , 3364

16.:" 465.741 241.357 7.5511 , J 3662

16. 2a 516.225 263. 221 7.3619 .0 39 65

16.40 571.126 236.043 P. 1340 ,004274

16.60 630.745 3 10 .40 7 8.5179 ,.0 4591

16.83 695. 3°3 3 36.4L 2 3.3643 ,004916

158
Table 21. Continued,

THE ISOTHERM AT 3JC.GG DIG. K MOL/L P , 6 AR OP/CO OP/CT D2P/DT2

.20 1*. 804 23.140 .0173 -.000003

.40 9.2 59 21.1*17 .0 3 59 -.000013

.60 13.3 71* 19.742 .0559 -. 00 L 32 .so 17.160 18.128 .0772 -.0 00 59

1.3.8 23.63U 16.5 80 .0993 -.000097

1.2J 23.796 15.0 99 .1238 -.000147

l.i»0 26.6 7* 13.684 .1491 -.30u210

1.-60 29.275 12.336 .1756 - -.0 238

1.80 31.613 11. 055 .20 34 -.0 00384

2. CO 33.7G1 9.341 .2324 -.0 0501

2.20 35.551* 8.696 .2626 -. j 6 45

2.40 37.184 7.618 .2939 -.000822

2. 60 38.605 6.6C9 .3263 -.001044

2.aa 39.832 5.b69 .3599 -. 001329

3. CO 1+0. 878 4.797 .3946 -.001705

3.2Q 41.755 3.993 .4305 -.002228

3,***ti 1*2.1*79 3.2 55 .4676 --.0 30 08

3.61 i*3.C62 2.581 .5065 -. u04308

3.80 1*3.515 1.964 .5479 -.006961

1C.2G i+i*. Ill 5.716 2.0773 .010552

1C.4C 45.1+16 7.3 75 2.1831 .008009

1 . 6 3 1+7. C 77 9.2 77 2.2922 . 006422

10.80 i*9.1i*5 11.445 2.4054 .00 5317

11.00 51.671* 13.902 2.5230 . J04487

11.20 54.7 27 16.673 2.6454 . 003829

11.1*0 - 53.366 - - 19.779 2.7729 .». 03234

11.60 62.662 23.246 2.9C56 . 28 1

7

11.80 67.690 27.100 3.0437 .002405

12.00 73.5 30 31.3 66 3.1675 .002034

12.20 80.266 36.073 3.3369 . ^01693

12.40 67.990 41.249 3.4923 .001374

12.60 96,7 99 46.923 3.6538 • 0010 73

12.80 106.795 53.127 3.3215 .030784

13. Cu 113.087 59.394 3.9955 .000506

13. 2-0 130.792 67.258 4.1762 . 000235

13.^ n 145.^33 75.255 4.3635 -. 00 30

13.60 160.939 83.922 4.5573 -.-00291

- - 13.80 1-78.449 93.299 4.7592 -.0 00 549

14. 30 198. 3L9 103.428 4.9579 - . C 8 5

li+. 20 22 0.0 73 114.352 5.1842 -.0 310 61

14.40 2i*i+. 1C6 126.118 5.4082 -.001316

li*. 60 270.580 138.775 5.6403 -.001572

11*. 3 299.678 152.374 5.8803 -.0 018 30 - -15.-00 -- 331. 5 96-- 166.971 6.12 93 -.£3 20 90

15.20 366.537 182.622 6.3877 -.002353

15.40 1*04.719 199.389 6.6549 -.0 262 —-15*65 ._ 446. 3 71 -2 17 . 3 36 6.9317 - - - ---.£3 2890

15. 8Q 1*91.737 236.532 7.2135 -. 003166

16. 5i*l.b 72 2 57. 5C 7.5156 -.0 3447

- - 16.20 - 594.650 2-73.-966- - 7.3234 --..0 3734

16.40 652.757 3 u 2. 3 61 8.1425 - . 3 40 2 8 16.60 715.699 327. 322 8.4733 -. 004330

159
Table 21. Continued.

TH E ISOTHERM AT 305.33 OhG. K MOL/L P,3AR DP/OO DP/DT C2P/DT2

.40 9. 450 21.930 .0353 -.0 0012

.80 17.570 13.712 .0769 -.000054

1.2Q 24.454 15.751 .1231 - . : G 1 3 3 1.60 30.2C7 13. 055 .1742 -.: Jt254

2.00 34.933 10.622 .2299 -.000428

2.4J 38.740 8.455 .29 00 -.000667

2.8G 41.733 6.559 .3538 -.0 0992

-3*20 44.C23 4.933 • 4214 -.001437 . 3.60 45.715 3.573 ."+911 -.C32C62

fc.uG 46.915 2.468 .5634 -.UQ2973

4.40 47.722 1.602 .6376 ^034375

4.30 48.226 .955 .7130 -.0 3 670 5 5.20 43.512 .502 .7893 -.011016

5.6 48.650 .215 .8650- -.420399

6.uu 49.702 .063 .9397 -.047343

6.40 48.713 .3 07 1.0110 -.191326

6. ot 43.714 .3CQ 1.0675 0. liaeaao

7. 20 43.715 .0 08 1.1255 .266753

7. 6 43.723 .072 1.2077 .069545

8. CO 49.790 .269 1.3048 .032309

8 .

i» C 48.972 .633 1.4164 .019014

3.8 49.384 1.435 1.5428 .012729

9.20 50.179 2.623 1.6849 - .409224

9.60 51.558 4.390 1.3435 . 007032

it. 01 53.776 6.839 2.0196 .uQ5535

It.-40 57.143 13.150 2.2143 .GO 4434

1 C . 8 Q 62.031 14.469 2.4284 . j 3570

11.20 . 69.876 19.967 2.6630 . 002854

11. 6Q 73.166 26.828 2.9189 . uj 2231

12.0 90.546 35.250 3.1973 .001667

12.40 1G6.623 45.449 3.4990 .001142

12.80 127.174 57.661 3.3253 .030640

13.20 153.054 72.142 4.1772 .o00152

13. 60 185.223 89.175 4.5561 -. 330330

14.0 224.776 109.372 4.9636 -.000810

14.40 272.913 132.178 5.4013 -.001294

14.80 330.997 158.377 5.8711 -.001785

15-, 28 403.551 169.599 6.37 54 -.,,02233

15.6 483.277 224.324 6.9165 -.002807

16.00 531.082 265.039 7.4975 -.003347

16,40 696. 1G0 310.997 6.1214 -033913 -

160
Table 21. Continued,

THE ISOTHEPM AT 310. GO DFG. K MOL/L P,BAR DP/DD OP/OT D2P/DT2

.40 9.617 22.3 78 .0358 -.C00012

.80 17.929 19.220 .0766 -.Quu051

1.2 25.C28 16. 317 .1225 -.100122

1.60 31.C17 13.675 .17 30 -.0 0230

2.0C 36.1:2 11.293 .2281 -.GOG 379

2.40 40.087 9.172 .2871 -.Quw573

2. 80 43.3 76 7.316 .3496 -. ci r 8l6

3. 20 45.975 5.723 .4151 -.001112

3.60 47.989 4.390 .^630 -.001457

4.00 49.519 3.304 .5527 -.0 018 35

4.40 50.663 2.449 .6235. -.002207

4.80 51.50 7 1.80 5 .6949 -.032<+95

5.20 52.132 1.349 .7666 -.002587

5.60 52.6 06- 1.057 .8388- -. JO 2379

6. CO 52.997 .906 .9122 -. 001833

6.40 53.348 . 8 66 .988U -.001007

- - 6*80 53.699 1.2 60 1.067<+ -. 00 0u06

7.2C 54.0 71 .972 1.1518 .001096

7.6C . 54.468 1.134 1.2427 .00 2217 —-. 8.00 55.000 1.461 1.3419 . CC 3238

8.40 55.691 2.0 39 1.4520 ' ,QG39u9

8.80 56.678 2.963 1.5750 .00 4245

- 9.2C - 58.122 4.344 1.7132 .004251

Q.6C 60.230 6.304 1.8679 .00*024

11. CO 63. 2 60 8.979 2.3<+05 .003662

- 16.40 67.5 27 12.514 2.2419 .003235

1C.80 73.4C7 17.0 69 2.^431 .102784

11.20 81.341 22.813 2.6750 . 032328

11.60 91.840 29.930 2.9285 .001874

12.00 105.494 38.620 3.2045 . 001424

12.40 122.975 49. UC 3. 5040 .000978

12.60 145.044 61.645 3.6280 .000533

13.20 172.563 76.393 4.1777 • u j u u 8 7 13.60 206. 5C1 93.750 4.5545 -.000361

14.00 247.947 113.989 4.9598 -.00^815

14.40 298.123 137.456 5.3953 -.001277

14.80 358.396 164.545 5.8629 -. 001750

15*24 —440*299 —195 . 6-83 — 6.4646 -—-+41 0-2237

15.60 515.547 231.354 6.9036 -.0 3 2741

16. 0G 616. C59 272.101 7.462Q ".00 3267

16,40 733.965 316.530 6.1033 -.003619

161
Table 21. Continued.

TH E ISCTHE-* AT 320.0 QEG. K MCL/L P,5£R OP/DD DP/DT

.40 9.975 2 3.333 .0357

.60 . 18.693 20.293 .0762

1.20 26.246 17.513 .1213

1.60 32.737 14.982 .1710

2.:e 23.265 12.761 .2247

2.40 42.°31 10.6 7G .2821

2.80 46.835 8.891 . 3427

3. 2 50.G7S 7.362 .4060

3.6^ 52.753 6.0 73 .4716

4. 54.972 5.030 .5390

4.43 56.811 4.204 .6C8J

4. ao 53.363 3.586 .6784

5.2? 59.7 r 6 3. 160 .7505

5.60 6C.915 2.912 - .3247

6.0C 62.C57 2. 326 .9016

e.tffl 63.194 2. 378 .9822

6.81 64.373 3.958 1.0 573

7. 23 65.626 3.249 1.1580

7.60 66.989 3.593 1.2553

8.GG 68.528 4.148 1.3607

8.4: 73.3U7 5.0 02 1.4753

e.s: 72.583 6.2 52 1.6u 23

9.20 75.415 3.004 1.7421

9.5: 79.0 69 10 .376 1.3969

i I . £ 33.816 13.495 2.3682

1C.4G 89.984 17. 5"

2.2575

i c . e •: 97.959 22.56G 2. -+658

11.20 103.194 28.329 2.6945

11.60 121.209 36.496 2.9444

12. 00 137.603 ^5.759 3.2167

12.40 158.058 56.358 3.5123

12.30 183.347 69.970 3.3323

13. 20 214.343 65.416 4.1760

13.60 252.027 103. 465 4.5506

14. UVI 297.5^4 124.436 4.9516

14. UG 352.012 148.661 5.3626

14.30 416.933 176.596 5.8457

15.20 4<=3.837 2 08. bcC 6.3429

15.60 584.447 245.2<44 6.8763

16. CO 690.718 2 67.018 7.4501

02P/DT2

i 00 0010

,0300 44

„301C4

300190

1.303

D 00440

000595

30^759

00913

CG1053

:U114C

J01153

Ou: 91

000932

,0 00690

0-0379

,000018

000 360

000797

GC12L7

CG 15 77

,0 01874

G0 20 74

,0 02166

CQ2155

,002*52

001874

,001639

,0 013 59

301C46

0070 7 GO 347

j 3 000423

,0QG829

, 0ul251

016S3

002142

002617

003114

162
Table 21. Continued.

""H I ISOThZRM AT 3 3 Q . a a DEC K

"!CL/l p , a a r l,p/:d DP/DT D^P/OT2

.4C i: • 3 31 Z4.283 ..356 - , o o c : o 9

• J ** 19.^52 21. 364 .0753 -,, 3 U ii C 39

1.2 27.455 18.6 91 . 12 "4 -,, u0C09Q

1. 6G 3*. 433 16.264 .1692 - . 00161

2. CO 40.4Q8 14. .77 .2219 - ,C0a25l

2.40 45. 7 32 12.131 .2761 -, Oj.356

2.5: 50.235 10.425 .337* - ,0 :0468

3.-23 54.1 r 3 8. 958 .3994 - ,000579

3.6Q 57.^52 7. 727 .4637 - • l .677

4 .

!." 6T. 315 6.724 .53.2 - ,000751

4.40 62. 841 5.942 .5986 -,. Q 0-73 8 4. a: 65.

C

& 7 5 . 3 7C .5690 - .030780

5.2: 67.164 4. 999 .7*17 -,.0 00720

5.6" 69.122 4. 32" .6172 - • C o 6 1

o. 1

."' 71. C 44 4 . 3 2 .3961 - , j 04 52

e. ^: 72.9 99 4. 981 .9791 - ,-00256

6.8 75.0 45 6 . 655 l.o67l - , C 2 8 7.2: 7 7.22i 5.636 1.1609 ,::.22i

7.6: 79.575 6.165 1.2615 , :00435

e. co 82.166 6.939 1.37 01 , 743

8.40 85.171 8.0 52 1.4982 , :30996

6.80 68.686 9,603 1.6173 ,00120 9

9. 2': 92.926 11.696 1.7589 ,£013 72 9.6? 9.8.132 14. 453 1.9147 . 001474

l " . :

104.593 17.993 2,o862 ,0015 8 10,40 112.650 22.457 2.2748 , 001474

1 . 8 122. 7 02 27.997 2.4819 , J1278

11.2C 13 5.213 34. 779 2.7 87 , 001225

11.6. 15 0.715 42.985 2.9562 , 001623

12.:: 169. 813 52.316 3.2 2 58 ,0 00781

12.193.213 64.488 3.5163 ,000506

12.3d 221.6 86 76.242 3.3551 0002C2

13.2" 2 56.12: 94. 342 4.i.772 - , .00127

13. 6C 297.511 113.080 4.5461 - , ,00476

14.00 346.9 78 134.779 4.9432 - . >. 3 44

1«».40 405. 776 159. 7

C 7 5.37T2 - , 001232

in. b: 475.312 lti3.536 5.3291 - , GC1638

15.2* 557. 16G 221.441 6.3219 -,, 20 63

15.6: 653. C o7 259.012 6.3512 - ,002511

163
Table 21. Continued.

THi ISOTHERM AT 3 40.uG DE'G. K MCL/L

.4:

« *o

1.20

1.60

2 . J 2. 40

£.8?

3.2C

3.6J

4. :: 4.4C

4.8C

5.20

5.6;

e. cc

6. 43

6. a a 7 . 2 C 7.60

8.00

8.3G

9.23

9. 6l

1 • 3

1 f . 8 11.22

11.60

12. CC

12. 43

i2.a:

1 £• 2 C 13.60

1 4 . .1 14.40

14.80

15. 2G

15. 6j

P,6 AR

10.686

20.2C6

23.652+

36.122

42. 7.5

48.t+96

53.587

53.^71

62.. 39

65.5 82

68.791

71.751

74.549

77.266

79.965

82.7 79

85.714

88.845

92.211

95.92G

1C0.0S8

104.913

110.577

117.346

125.524

135.465

147.5 c 4 162.356

180. 324

2C2.111

223.419

2 6 G • C 4 4

297. 664

342. 9^7

396.s566

459.H17

53i.521

620.273

721.474

QP/OO

25.228

22.420

19.353

17. 525

15.429

13.564

.11. 930

10.526

9.3 52

3.4:4

7.676

7.162

6. 360

6.762

6. 361

7.133

9.3 51

8. 390

3. 335

9. 796

11.161

13. j '."2 15.425

18. 546

22.439

27.391

33. 4.1

40.683

49.419

59.807

72.065

66 • 435

1C3.1S3

122.6C5

145.0 27

17C. 314

2 -0 .371

234.153

272.665

CP/DT

.3355

.0754

.1195

.1677

.2196

.2749

.3332

.3942

.4577

.5236

.5917

.6622

.7355

.3119

.8922

.9769

i.:663

1.1627

1.2655

1.3764

1.4966

1.6275

1.7706

1.9274

2.u993

2.2877

2.4940

2.7194

2.9652

3.2325

3.5 2 26

3.6365

4.1755

4.5411

4.9347

5.3580

5.3129

6.3016

6.3265

12P/DT2

08

300034

0^073

000139

C 213

30Q297

G0C384

00G467

J 0C 536

u0C585

6 G 6 C0C594

LuG545

w00462

00G346

G0u2:3

000033

j 0144

00 335

l0C528

000712

G J0374

C01CG4

301092

001131

LJ1119

oj1054

03941

000782

030583

o 3 49

000C85

C00207

D 0522

^0«-859

001218

001596

G01997

302420

164
Table 21. Continued.

TH I ISOTHE°M AT 3 6 . u ii DEC K MOL/L P,E AR DP/ DC OP/uT D2P./DT2

• «*a 11.394 27.1.5 .0353 ~ . y u Q 7 .80 21. 7..9 24.5.7 .0748 - . ii 2 7 1.2C 31.031 22.139 .1162 - • j » 61

1.60 39.451 19.998 .1653 -.303117

2 . o o 47. C58 18.0 75 .2159 -. 000161

2.43 53.940 16. 369 .2698 -.0 0.. 220

2.3 60.182 14. 879 .3267 -. 000279

3.20 65.P72 13.6:9 .3864 -.£ 3 32

3.6" 71.C99 12.561 .4438 ~ t uUv 5

f

b 4. CO 75.951 11.737 .5139 - . 3 3 4 4 4.40 80.518 11.139 .5317 -.000*14

4.60 84. 692 IC . 7bS .6525 - . 4 C 4 5.2C 89.164 10 .627 .7266 -. .0,371

5.60 - 93.425 10. 716 .3043 -. O0C318

6. i. 97.767 11 . 33 . 3864 -.00 245

6.*C 1C2.279 11 . 563 .9733 -.01)0156

6. an 107. fefrl 14.739 1,-1658 -.OjG" 53

7.2 112.115 13.130 1.1646 .0 00 060

7.6C 117.576 14.221 1.2705 .C0'3180

6. CD 123.536 15 .644 1.3844 • C u 0300

e .4 o 130.149 17.5'

3

1.5C75 .03 0416

S.oC 137.610 19.914 1.6411 . U u ** o 2Q

9.20 146.159 22.957 i.7863 .00 065 5 9.65 156. 79 26.779 1.9 445 .0 00 665

1 C • 167. 7C1 31.492 2.1171 . j

0'.1694

1C.40 181. 4;!9 37.232 2.3 53 . jC job 9 10.80 197.6<*3 44,146 2.51C6 . 00648

11. 20 216. 9C

4

52.394 2.73h2 . C00569

11.60 239.760 62.157 2.9773 . 030454

12.tiG 266. 358 73 . 632 3.2412 . u j j 3 u o 12.40 293. °23 87. 038 '.5271 . *GG121

12.80 336.778 1C2.619 3.8363 -.000092

13.2C 381. 344 12C .6h5 4.1701 -.00 0332

13.6" 433.659 141.416 4.5299 -.-00597

14. O^j 4°4. 8 88 165.269 4.9172 -.000886

14.40 566.335 192.577 5.3338 -.0 01198

14.80 649.465 223.756 5.7817 -.001532

15. 2 C 745. 918 259.274 6.2628 -.001569

165
Table 21. Continued.

THE ISOTHE^ AT 380. GO DEG. K MOL/L P , 6 AR P/ DO DP/DT ! ,2P/CT2

.4 2 1 2 . i c : 28.969 .0 3 52 3 00 56

• 8 u 23.2,0 26.566 .0743 > U00 22

1.20 33.382 24.385 .1171 , C00C50

1.6C 42.736 22.420 .1634 , SOL ( 85

2.0 3 51.346 2u . 664 .2130 .00127

2.40 59.2 95 19.113 .2659 , CU0171

2 . 3 66.664 17.77C .3213 . 000215

3.23 73.539 16.6^1 .38 r 6 .000254

3. 61 8Q.CC6 15.732 .£423 .000235

4. 00 86.155 15.3 5C .50 69 ,000305

4.43 92,077 14.&C2 .5745 .000313

4. 8C 97.869 14.396 .6455 .0C03„5

5.20 103.627 14.433 .72 01 , ,0 28 3 5.6 1C9.453 14.735 .7938 ,00024b

6 . J h 115. 450 15.288 .3820 . 197

6.40 121.717 16.086 .97C5 . 000135

6 . 8 2 128.346 20.119 l.o647 ,000065

7.20 135.415 19.289 1.1653 . 3 013

7.60 143. C 14 j.9. 760 1.2731 , CGG0 94

C • w y 151.274 21.614 1.3591 .00017 7 8.4 16J.370 23.958 1.5141 . . 2 56

6. 3" 17:. 521 2&.9ij4 1.6494 > 1 3t-6 <3.ZC 181.959 30.564 1.79 60 . uO 0384

C i6j 195.083 35. 57 1.9552 , C Q G 42 4

i c . c

210.162 4C .5.8 2.1282 , u 0(0441

ic.4C 227.635 47. 349 2.3164 , ..,-434

1 U • 8u 247.966 54.829 2.5209 , . J0398

11.20 271.684 64 • 06 2.7431 ,000333

11.60 299.3 82 74 . 760 2.9841 . 0239

12. 3 331.729 37.289 3.2453 ,ooii5

12. 40 369.478 1:1. 3ii 3.5279 ,0 000 38

12.80 413.4 76 113.574 3.8331 . .00218

13. 2C 464.673 137.551 4.1625 . C 0^23

13.6. 524.133 159. 949 4.5173 , i, J 6 p 3 14. GO 593.054 165. 210 4.0993 .03-0907

14.4. 672.774 214, ji& 5.31.0 , 01133

166
Table 21. Continued.

"h, T SOT He 4T G D r. G . K

MOL/L P. GAG DP/CO

• ** J 12. P. 03 3C . 3<i2

. 3. 24.681 28.602

1.2: .75. ?i4 2 6. 595

1.6: 4 5.988 2 4. 8,3

2..U 55.583 23.2.0

2.U 1: 64.581 21 . 31Z

2.8 3 73. 060 2 -J . 6 1

8

7. 2C 81.1C4 19.6 36

*5 • 6 „ 83.798 13. 376

4. : j 96 . 2 36 18. 3^9

4. 4T 1 r 3 . 5 1 13. J 66

4.8 1 1 j . 7 2 2 10. t 38

r-.2C' 117.977 18.279

5.6 a 125. 3d3 18.7^9

f. . o .: 133." 53 19.6:1

6.4C 141.li. 2 . 676

6. e. 149. 626 25.49.

7.2. 158.721 23.529

7.6j 168.492 25. 3?

3

fc.r"] 179. 1 85 27 . 066

r. f+r: 190.696 30 .4 39

3.80 2D 3. 5 64 33.969

9.2C 217.974 38.221

9.60 234.260 43, 3 65

1 C • 252. 8 C2 +9.529

1C.HU 274.^.36 56. 845

1 C . 8 C 293. ubZ 65.461

11.2C 326. 6GC 75.538

1 1 . 6

c

359. 100 87.2 53

12. .C 396.648 ICO. 3 t & 12. «*C 4*0. 120 116.417

12. 8-; 490. f. 39 134.336

13.2 : 547.8 33 154. 3 39

13.60 614.346 178.239

14. eo 690. 8 57 2 C 4. 8 34

OP/CT

.0351

..739

.1162

.1618

.2108

.2628

.3173

.37 60

.4372

.5114

.569C

. 6t+ c a .7150

.7943

.0764

.9679

1.0 6 33

1.1652

1.2744

1.3913

1.5181

1.6546

1.3:21

1.9620

2.1353

2.32 32

2.5271

2.743

j

2.9873

3.2462

3.5259

3.3278

4.1533

4.5C 38

4.8810

D2P/DT2

j u 5 .0 0-19

JCCC70

o o 1 c 3

. J. 133

c ;,:i72

c o o 2 r 3 .00 227

"

C- j 2 43

^00249

G 00245

uOC229

000204

C 3 168

CO ol24

c i. .0 74

CO 0.19

: : a c 40

c o : d 3 COD 153

CO .2l2

: 2 41

.00267

C0C275

CO 263

Ou0229

3 0171

v 00 88

j c C L- 2

C C 153

. * 031C

300491

G JO 695

000922

167
Table 21. Continued.

1"H£ ISOTHERM AT hz: .CO DcG. K MOL/L P, BAR DP/CD DP/DT D2P/0T2

.4" 13.505 32 . b66 .a350 - . : o :• C 4

. so 26.155 30.62G .0 735 -.000016

1.2: 38. r 31" 28. 786 .1154 -.0 J 00 34

i . 6 : 49.211 27.155 . Id Co -.00 058

2.0 59.779 25.718 .2039 -.ucOO 55

2. 40 69. «11 24.475 .2603 -. 0OQ114

Z. Bo 79.386 23.434 .3143 -.-.0 0142

2.2C 88 . 5 86 22.504 .372* -. j J 166

3.60 97.5 CO 22.0.0 .4331 -.LG'136

4.0 : 106.219 21.636 .^73 -. -0i2Ca

4.4G 114.842 21.528 .5644 -»-0u2.6

c, 8 1 123.477 21.691 • o3 56 -. 030204

5.20 132.233 22.142 .7108 -.000193

5.b0 141. 230 22. 393 .7905 -.0Jul75

6.ca 150.5 69 23.953 .3752 -. uuul53

6 . 4C 163.433 25.314 .9655 -. 000118

6. 3 170.876 32.849 1.0617 — »«i*Ju31

7.2. 162.:. 2 28.327 1.16 46 -.0 j. a 41

7.6j 19 3.985 31 . u 6b 1.2748 • JO uOl

f » a 206. 936 33.776 1.3931 . Q00C43

«.4: 221. LP4 57.074 1.5204 . 8 3 e.so 236.689 41.079 1.6577 .00 0117

9.-20 2 54. I 5 8 45.911 1.8C59 .000142

9.63 273. 5<*5 51.6 91 1.96 61 .10 3157

10.00 295.554 58.545 2.1395 . 03 0157

1 C . -4 G 32u. 5*5 66.618 2.3272 . CJ0142

1 -. . 3 ". 349. C

n 76. 048 2.S3..4 . a 3 1 C 3 11.2C 381.586 86. 499 2.75G2 . 53

11.60 418.8 56 99.651 2.9679 -.0 00 22

i 2 . a o 461. 560 114. 2C3 3.2447 -. J0119

1 2 • 4C 510.5.1 13j .378 3.5219 -. :. j.23 3 12. oO 566.573 149.928 3.52 9 -.030379

12.2 .; 63U.797 171.634 4.14 30 -.v 30 542

13.6a 7u4.2b2 196.313 ^.4396 —

jo0726

168
Table 21. Continued.

TH E ISOTHERM AT h 5 . . i Dt G. K

MOL/L P. TAR DP/aO OP/DT 1 "J2F/DT2

• <fG 14.55* 35.416 .0 3 49 - . l C j - J 3

. 3 3 23.5 55 33.620 t u* 01 -, j fc 1

3

1.20 41.478 32. j 23 .1145 - • -w - a 2 7 1.&0 54. C 04 30 .634 .1590 - > t j -to 2 • c fi 66. "10 9.43C .2T 6

- . :)'.: 67

2.4" 77.5 73 2 3.419 .2573 - . G C ft 9 2.s n 63.772 27 .6-8 .3111 - • [ 3 •:• 1 1

3

3.20 99.669 27.314 .3680 - , 00.129

3.60 110.* 15 26.655 .4291 - ,wGC145

4. DC 121. C46 26 . 5<t3 .4917 - ,"00156

4.40 131. 69C 26. 717 .5590 - . ii :1 1 6 2 4.80 142 .459 27.181 .6301 - .000163

5. 2? 153.477 27.961 .70 56 - , 00ul53

s.e.'1 164.872 Z9.u75 .7857 - , ,.Lli.7

6. ,C 176.782 30.534 .6710 - .CO 0132

6.43 189. 345 ZZ. 333 .9620 - .00 0112

6. 3 202.6^0 36.3 66 1.05 92 - . C 3 5 8 9 7.20 216.9 36 36. 349 1.163J - • C .'"64 7.63 232.224 39.666 1.2742 - > 0000 33

&..;: 249,74;, 43.015 i.3935 - .00 0013

8.<*0 266.723 47. Olo 1.5218 i 3 010

6 • tt 266.453 51 .799 1.6593 . , j'. ,29

9.20 3 8.262 57.432 1 . 6 8 5 . J 4

1

9.60 332.581 64.193 1.9690 i i j 3 4-4 10.00 359.791 72. 063 2.1423 i C G 3 o 10.40 390.4 04 81.231 2.3294 . ,. kviO

10.83 424. 969 91. 345 2.5316 - , : 00019

11.20 464. C 95 104.071 2.7493 - » u G 7 3 11.60 508.464 118.367 2.9854 - . J013B

12.00 558. 630 134.097 3.2395 - . j 224

12.40 616. f 37 152.325 3.5134 -,. j 3 2 9 12.80 681. C23 173.0.54 3.3i,83 -, ^C3*52

169
Table 21. Continued

THE I30ThE r M AT 5QL.IC 3EG.

MOL/L P,6AR DP/OD OP/DT

. 40 16.297 39.97? .03^+8

. 60 01.997 38.56C .0726

1.20 47.172 37.351 .1134

1.60 61.9C3 36.337 .1571

2.:-g 76.267 35.513 .2C38

2.40 93.340 34. 8«5 .2536

p a

* 104. 2C3 34.467 .3 264

3.2: 117.944 34.279 .3625

3.6C 131.660 34. 345 .4223

4.00 145.459 34.692 .4851

4 . 4 3 159.455 35.3*3 .5520

4. 8: 173.781 35. 339 .62 31

5.2" 183.575 37.695 .6987

5.60 203.963 39.437 .7791

6. SO 220.179 41. 583 .3650

6.4'j 237. 3C8 44.13l .956b

6.8 255.532 52.159 ,..3545

7.2: 27^.995 5 0.338 1.1592

7.6u 295.668 54.12G 1.2713

fi.uG 318.374 58.525 1.3914

8. *f 13 342.759 63. 636 1.5233

8.8u 369.442 69.73<+ 1.6538

9.2C 398.712 76.79 8 1 . 8 C 7 3 9.6C 431. C 34 35.013 1.9682

It. ?C (+66. 8 9*+ G 4.515 Z.14P8

1 . 40 5<_6. 836 1 J 5 . 446 2.3268

13.80 551.462 117.961 2.5271

11.20 6G1.439 132.229 2.7429

11.60 657.5 04 146.435 £.9753

12.:: 720.473 166.7 87 3.2254

D2P/DT2

• . C 2

• . i o : : : 9 •.Q0Cul9

•. ^ JCC 32

• u u j C -+7

' • U 'J L U b j . 3 0a 073

•.0 3-0 92

• t 310 4 • o G113

. - 2 1 i 1

• 0u 3 123

•. juj!23

•. 000119

-. .3C114

• . : 1 1

• . a a G 9 7 -.000087

".03CG76

. j J j, b7

-. 0j0C63

•.00GC57

• . C 0. 3 5 9

-.CJJC67

•. : J : c e

-..3:1:9

- • u : 1 4 5

• J 193

-. --0254

-. 30 3 329

170
Table 21. Continued.

THE ISDThO AT 5: IwG. K

^ C L / L P.BAR Q P / C D up/dt 02P/OT2

• 4 i; 18. r 34 44.4 J4 ..347 -, 3 C G 2

. if 35.6:6 43 . 446 . '7 cZ -, .;, g l o : 7 1.2.0 5 2 .

<- 1 8 42. 5-<3 .1.25 -, j C G Cl

4

i.6<: 69.7 21 41. 35C .1557 -, J j 2 4

d' • u *J 6 . t v 4 41.499 . 2 C 1 8 -, . . j j 35

2.40 i : 2

.

c- 4 s 41 .254 . 2 5 >: 9- . . j;. : 47

2.»o 11 Q .437 41. 233 . 3 l 3 i -, . 3 : : 59

3. 2 -j 1 3 5 . 9 6 7 41 . 4 61 . 3 5 8 6 -, Ju „ 70

3.60 152. 643 «* 1 • 368 .4175 -, j u 7 9

4 . Q 169.5 63 42 . 7

J 7 .48 ;;i - . L u

'; £ 3 4.4: 156.91b 43. 9*9 .5467 -,, G 3 1 G 9

4. 6G 2 04. 7 93 45.439 .61 76 - IQCi ^9

5 . 2 G 223.365 47 • <+4G .6931 - , :coic2

5.6" 242.6 03 49. 329 .77 36 - .00 0103

f. . :

:

263.2 89 52.6 77 .3596 - 3 3 G 1 C 3

c

. . 4

:

2 8 5 . i C 6 55. 9fc4 .9514 -, : o

* i : 2 6. 80 3.8.134 65 .3 63 1 . G 4 9 5 -,.GGG1GG

7.23 332. 8 4

J

63. 395 1.1545 - , C G j £ 9 3 7.o. 359. 326 6a

.

635 1.2o69 - . v j::97

8 • G

'•"' 3 8 7. 3 45 74. 091 1.3 8 72 -, j G 3 C 9 7

P. 4. 413.711 3. . 3°2 1.5162 - iC J 3G99

e. 5 ] 452. 2°Q 67.678 1.6547 - . C j104

9.2: 4 8 9 .

£

" - 4 S>6.GS9 1 . 8 r, 34 - ..0-1x4

9.6'1 529. 32^ 1 ,5. 7 61 1.9631 - , CO 3123

i

r .

" 573.8 ;C 116. 339 2.1349 - ;l.Q3149

1 G. m-Q 62 3. COS 129.47: 2.3195 - .C0G177

1 Q . S 3 6 77.6 15 143.315 2 . 5 1 8 J - .. 3.214

11. 2J 733.311 ioii. 347 2.7314 - . . i 3 2 6 Q

1 H- ISOTHE.PM AT 6 G

- . :. " DtG. K

M CL/L P,E A9 OF /DO OP/GT D2P/DT2

.4? 19.767 +3.997 .G346 -. j Go 01

. 8 39.218 43,,2 90 .0719 -. .C Go 05

1.2 . 53.427 47. 791 .1119 -...Uoll

1.60 77.473 47. 498 .1546 — .OjoGj.9

2. . . 96.453 47, 415 .2002 • o o . U c O 2.4: 115.437 47, 5*8 .2483 -.0 0137

2.3" 134.524 U7 926 .3,'5 - • G j 46

3.Z.. 153.815 48, 577 .3555 -.G0C055

3 . o . 173. 426 49 5?4 .4139 - . 1 U J !.' 6 4

4 . G 193.487 5o ,834 .4762 -.G3oG72

4 . 4 o 214. 144 52 .515 • 5 424 - . l o l 7 3 4. 5J 235.556 54 616 .6130 - . - j j 3 4 5.2C 2 5 7.

6

c 8 57, 173 .6333 - . C 3 G 3 8 5. 6 i 281.359 60 219 .7637 -.00:092

P. CO 306. 141 63, 777 .3546 -.l.'\95

6.4. 332. 45C 67, 349 .9464 -. f 3-098

6. SG 36G ,4«6 78, 4 74 1.G445 -. 0001G1

7.2G 390.441 77 4b4 1. 1495 -. G134

7.6 422. ^43 S3 16h 1.2617 -. .0.1-3

8.-"" 457.

C

77 39 ,653 1.3819 -»oj.H3

6 , 4 494.3 89 97, 277 1.5107 -.000121

6. 80 534. 8tt2 1'. 5 , 5 8G 1.6438 -. 0C0131

G .2C 579. G17 115 ,306 1.7969 -.0031*5

9.6 : 627. 31C 126 .4tl 1.95 5 3 -.00" 163

1-7. }u 6 8 0.

3

T 9 179. Oil 2.1264 -. GOO 186

li . 4

r 733.742 153 ,293 2.3C96 -.,0.216

171
Table 22. The Joule--Thomson inversion locus.

T,K P,BAR MOL/L T,K P,3AR MOL/L

G G.O o. 0G 425 465.6 11.89

250 27.5 15.05 430 472.3 11.81

255 48.3 14.95 435 478.8 11.74

260 68.4 It. 85 440 485.1 11.66

265 87.9 14. 76 445 491.2 11.58

270 106.14. 66 450 497.1 11.50

275 124.7 14.56 455 502.8 11.42

280 1*2.3 l^t. 46 460 508.3 11.35

285 159.2 14.37 465 513.6 11.27

290 175.6 14.27 470 518.7 11.20

295 191. 4 14.17 475 523.7 11.12

300 206.7 14. G8 480 528.4 11.05

305 221.5 13.98 485 533.0 10.97

310 235.8 13.89 490 537.5 10.90

315 249.7 13.80 495 541.7 10.82

320 263.1 13. 7o 500 545.8 10.75

325 276.1 13.61 505 549.7 10.68

330 288.6 13.52 510 553.5 10.61

335 3GG.3 13. 43 515 557.1 10.53

6k(, 312.6 13. 34 520 560.5 10.46

345 324.0 13.25 525 563.8 10.39

350 335.1 13.16 530 566.9 10.32

355 345.8 13.07 535 569.9 10.25

360 356.2 12. 9b 540 572.7 10.18

365 366.3 12.89 545 575.3 10.10

370 376.0 12.81 550 577.8 10.03

375 385.5 12.72 555 580.1 9.96

330 394.7 12.64 560 582.3 9.89

385 403.6 12.55 565 584.4 9.82

390 412.2 12.47 570 586.3 9.75

395 420.5 12. 36 675 588.0 9.o8

400 428.6 12.30 580 589.6 9.61

405 436.5 12.22 585 591.1 9.54

mo 444.1 12.14 590 592.4 9.47

415 451.5 12.0 6 595 593.

9.40

420 458 .6 11.97 600 594.6 9.33

172
Table 23. Thermophysical properties of the saturated liquid,

This table was computed along paths described in section 3.0.

Column headings have the following interpretations

DPS/DT = dP /dT, vapor pressure,

DDL/DT = dpn/dT, saturated liquid,

DP/DT = (9P/8T), single phase,

DP/DD = (3P/8p), single phase,

Q,VAP

CV =

AH , heat of vaporization,

vap

Cv

(P,T),

CS = Ca(T) CP = C (P,T)

W

= speed of sound

173
XI

•H

cr

T3

0) u

3

w

CU •HU

OJftO

o

•H

en

exo

B

H

0) ,aH

j2

h-^«^^if>ro 1j3ojc\jvjOir>^roc>jvi3iv}^<OLrNiJ^oo^*H^cM^vor^r^^<o^'©c^co^

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175
Table 24. Thermophysical properties along isobars*

The following pages give physical and thermodynamic properties along

selected isobars, as computed by methods of section 3 of the text.

The first line of each table refers to freezing liquid on the P(T)

melting line.

Each table at P < P contains a blank line for the transition from

c saturated liquid to vapor, as seen by the abrupt decrease of density.

Table headings for partial derivatives have the following interpretations

DP/DT = 3P/3T,

DP/DD = 8P/8p.

The specific heat interpretions are

CV E Cv(p,T),

CP = C (p,T).

kThese tables are extrapolated beyond the range of P-p-T data used for

adjusting the equation of state (P ^ 350 bar).

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Table 25. The Joule-Thomson inversion locus.

THE JOULE-THOMSON INVERSION LOCUS FOR ETHANE

T,F T,R P.PSI LB/CUFT

-10.00 <+49.67 387 28.26

0.00 t*59.67 722 28.05

10. 00 <*69.67 1G45 27.65

20.00 479.67 1356 27. d4

30.00 489.67 1654 27. <*4 40.00 H99.67 1942 27.24

50.00 509.67 2213 27.04

6u .00 519.67 2485 26.53

70.00 529.67 2742 26.63

80.00 539.67 2989 26.-+'. 90.00 549.67 3228 26.24

100.00 559.67 3457 26. w4

ilU.oO 569.67 3679 25.85

120.00 579.67 3893 25.65

133.00 589.67 4099 25.46

140.00 599.67 4299 25.27

150.00 609.67 4490 25. u8

16J.00 619.67 4675 24.89

170.00 629.67 485<* 24./ 1 180.00 639.67 5026 24.52

190.00 649.67 5193 24.34

2dG.G0 659.67 5354 2^.16

210.00 669.67 5510 23.96

220.00 679.67 5660 23.80

230.00 689.67 5805 23.62

240.00 699.67 5946 23.44

250.00 709.67 6081 23.27

260.00 719.67 6212 23.10

270.00 729.67 6339 22.92

280.00 739.67 6461 22.75

290.00 749.67 6579 22.58

300.00 759.67 6693 22.-2

TtF T,R P,PSI LB/CUFT

310.00 769.67 6803 22.25

320.00 779.67 6909 22.09

33G.00 789.67 7012 21.92

34C.00 799.67 7111 21.76

35G.00 809.67 7206 21.60

360.00 819.67 7297 21.44

370.00 829.67 7386 21.28

380.00 839.67 7471 21.12

390.00 849.67 7552 20.96

400.00 859.67 7631 20.80

410.00 869.67 7706 20.65

42G.00 879.67 7778 20.49

43G.00 889.67 7847 20.34

44C.00 899.67 7914 20.19

450.00 909.67 7977 20.04

460.00 919.67 8037 19.88

470.00 929.67 8 94 19.73

480.00 939.67 8149 19.58

490.00 9<+9.67 8200 19.43

50G.00 959.67 8249 19.29

510.00 969.67 8295 19.14

520.00 979.67 8338 18.99

530.00 989.67 8379 18.84

540.00 999.67 8416 18.69

550.00 1009.67 8<+51 18.55

560. 00 1019.67 8484 18.40

57G.00 1029.67 8513 18.25

580.00 1039.67 8540 18.11

590.00 1049.67 8565 17.96

60G.00 1059.67 8587 17.82

610.00 1069.67 8606 17.67

620.00 1079.67 86 23 17.52

246
Table 26. Thermophysical properties of the saturated liquid,

This table was computed along paths described in section 3.0.

Column headings have the following interpretations

DPS/DT

DDL/DT

DP/DT

DP/DD

Q,VAP

CV

CSCPW

dP /dT, vapor pressure,

dpp/dT, saturated liquid,

(9P/8T), single phase,

(3P/3p) , single phase,

AH , heat of vaporization,

Cy

(p,T),

Ca

(T)

C (p,T)

speed of sound

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Table 27. Thermophysical properties along isobars*

The following pages give physical and thermodynamic properties along

selected isobars, as computed by methods of section 3 of the text.

The first line of each table refers to freezing liquid on the P(T)

melting line.

Each table at P < P contains a blank line for the transition from

c saturated liquid to vapor, as seen by the abrupt decrease of density.

Table headings for partial derivatives have the following

interpretations

DP/DT = 9P/9T,

DP/DD = 3P/9p.

The specific heat interpretations are

CV = Cv

(p,T),

CP EC (P,T).

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adjusting the equation of state (P ^ 350 bar).

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319
NBS-114A (REV. 7-73)

U.S. DEPT. OF COMM.

BIBLIOGRAPHIC DATA

SHEET

1. PUBLICATION OR REPORT NO.

NBS TN 684

2. Gov't Accession

No.

4. TITLE AND SUBTITLE

THERMOPHYSICAL PROPERTIES OF ETHANE, FROM 90 TO 600 K

AT PRESSURES TO 700 BAR

3. Recipient's Accession No.

5. Publication Date August 1976

6. Performing Organization Code

275.04

7. AUTHOR(S)

R. D. Goodwin, H. M. Roder, G. C. Straty

8. Performing Organ. Report No.

9. PERFORMING ORGANIZATION NAME AND ADDRESS

NATIONAL BUREAU OF STANDARDS

DEPARTMENT OF COMMERCE

WASHINGTON, D.C. 20234

10. Project/Task/Work Unit No. 2750574

11. Contract/Grant No. BR-50-10

12. Sponsoring Organization Name and Complete Address (Street, City, State, ZIP)

American Gas Association, Inc.

1515 Wilson Boulevard

Arlington, Virginia 22209

13. Type of Report & Period

Covered

4/1/73-4/1/76

14. Sponsoring Agency Code

AGA

15. SUPPLEMENTARY NOTES

16. ABSTRACT (A 200-word or less (actual summary of most significant information. If document includes a significant

bibliography or literature survey, mention it here.)

The thermophysical properties of ethane are tabulated at integral temperatures

over the entire range of fluid states at temperatures from 90 to 600 K along

isobars to 700 bar. A new form of the equation of state is employed for the first

time. Thermodynamic functions in the compressed liquid at T < T are obtained by

use of specific heats C (T) along a high-density isochore, and C

C

(T) for the

saturated liquid. Use of these new specific heat data and also of new PVT data

provide the first reliable set of thermodynamic functions for compressed liquid

ethane at temperatures below its normal boiling point.

17. KEY WORDS (six to twelve entries; alphabetical order; capitalize only the first letter of the first key word unless a proper name; separated by semicolons)

Densities; enthalpies; entropies; equation of state; ethane; internal energies;

isobars; isochores; isotherms; Joule-Thomson inversion; latent heats of vaporization

melting line; orthobaric densities; specific heats; speeds of sound; vapor pressures

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UNCLASSIFIED

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UNCLASSIFIED

21. NO. OF PAGES

326

22. Price

$3.85
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