NAT'L INST. OF STAND & TECH

AlllOb b'IDSab

NBSIR 80-1632

f' *’|referehce

THERMOPHySOL PROPERTIES OF NITROGER TRIFLUORRIE

FROM 66 TO 500 R «I PRESSRRES 10 500 BIR

Robert D. Goodwin

Lloyd A. Weber

Thermophysical Properties Division

National Engineering Laboratory

National Bureau of Standards

Boulder, Colorado 80303

Prepared for:

Air Force Weapons Laboratory (AFSC)

Kirtland Air Force Base, NM 87117

Project Order No. 79-64

QC

100

.U56

80-1632

1980

July 1980

NBSIR 80-1632

THERMOPHYSICAL PROPERTIES OF NITROGEN TRIFLUORIDE

FROM 66 TO 500 K AT PRESSURES TO 500 BAR

Robert D. Goodwin

Lloyd A. Weber

Thermophysical Properties Division

National Engineering Laboratory

National Bureau of Standards

Boulder, Colorado 80303

Prepared for:

Air Force Weapons Laboratory (AFSC)

Kirtland Air Force Base, NM 87117

Project Order No. 79-64

July 1980

U.S. DEPARTMENT OF COMMERCE, Philip M. Klutznick, Secretary

Luther H. Hodges, Jr., Deputy Secretary

Jordan J. Baruch, Assistant Secretary for Productivity, Technology and Innovation

NATIONAL BUREAU OF STANDARDS, Ernest Ambler, Director

CONTENTS

Page

ABSTRACT 1

1. INTRODUCTION 1 2. PHYSICAL PROPERTIES 3

2.1 Fixed-Point Values 3

2.2 Vapor Pressures and Melting Pressures 4

2.3 The Orthobaric Densities 5

2.4 Second Vi rial Coefficients 6

2.5 The Nonanalytic Equation of State 7 2.6 The Ideal Gas Functions 9

2.7 The Heats of Vaporization 9

2.8 Specific Heats of Saturated Liquid 10

2.9 Specific Heats at Constant Volume 11 2.10 The Analytic Equation of State 11

3. COMPUTATIONAL METHODS (Nonanalytic Equation of State) 13

3.1 The Homogeneous Domain 13

3.2 The Saturated Liquid 14

3.3 The Compressed Liquid 15

3.4 Subroutine THERMO 15

3.5 Computations With the Analytic Equation 15

4. COMMENTS 15

5. TABLES OF PHYSICAL AND THERMODYNAMIC PROPERTIES 16

5.1 Calculated P-p-T Isochores and Isotherms . 16

5.2 The Joule-Thomson Inversion Locus 16

5.3 Thermophysical Properties of the Saturated Liquid 15

5.4 Thermophysical Properties Along Selected Isobars . 15

5.5 Results From the Analytic Equation 16

6. ACKNOWLEDGMENTS 17

7. REFERENCES 18

APPENDIX A: Symbols and Units 20

APPENDIX B: Fixed-Point Values Used for NF-^ 21

APPENDIX C: Computer Programs 154

APPENDIX D: BWR Computer Programs 176

APPENDIX E: Explanations for Table Headings 187
LIST OF FIGURES

Page

Figure 1. Density -Temperature Phase Diagram for Nitrogen

Tri fluoride 22

Figure 2. Comparisons of experimental with calculated densities. . . 23

Figure 3. Comparisons of experimental with .calculated specific heats. 25

LIST OF TABLES

Table 1. Vapor Pressures of NF^ 26

Table 2. Densities of Saturated Liquid 29

Table 3. Densities of Saturated Vapor 30

Table 4. Second Virial Coefficients 31

Table 5. Comparisons With P-p-T Data for NF^ 31

Table 6. Coefficients of the Equation of State 38

Table 7. Calculated P(p) Critical Isotherm 39

Table 8. Comparisons With Ideal Gas Functions 41

Table 9. Interpolated Ideal Gas Functions 42

Table 10. The Heats of Vaporization 43

Table 11. Calculated P(T) Isochores 45

Table 12. Calculated P(p) Isotherms 70

Table 13. The Joule-Thomson Inversion Locus 93

Table 14. Thermophysical Properties of Saturated Liquid 94

Table 15. Thermophysical Properties Along Isobars 97

Table 16. List of Coefficients for the BWR Equation 152

Table 17. Comparison of Results From the Two Equations of State . . 153
THERMOPHYSICAL PROPERTIES OF NITROGEN TRIFLUORIDE

FROM 66 TO 500 K AT PRESSURES TO 500 BAR

Robert D. Goodwin and Lloyd A. Weber

Density and specific heat data for nitrogen tri fluoride have been

measured in the approximate ranges 90 < T < 320 K, 0.07 < p/p^ < 3,

at pressures up to 300 bar. These include vapor pressures, some orthobaric densities away from the critical region, and specific heats

in the single and two phase regions. A nonanalytic equation of state

is used to tabulate thermophysical properties along isobars. The

tables include: compressibility factors, densities, enthalpies,

entropies, heats of vaporization, isochores, isotherms, Joule-Thomson

inversion, orthobaric densi-ties, specific heats, speeds of sound, and

vapor pressures. The data also are represented by an analytic equation

of state and comparisons are made between some results from the two

equations.

Key Words: Compressibility factors; densities; enthalpies; entropies;

equation of state; heats of vaporization; isobars; isochores; isotherms; Joule-Thomson inversion; nitrogen trifluoride; orthobaric

densities; specific heats; speeds of sound; vapor pressures.

1. INTRODUCTION

The purpose of this work has been to perform P-p-T and heat capacity

measurements needed to develop equations of state, and then to report both the

equations and tables of thermodynamic properties, including the computer

programs.

The triple-point temperature was reported at 66.36 K by Pierce and Pace in

1954 [15]. In 1955 they reported vapor pressures and specific heats of the

liquid up to the normal boiling point, and the heat of vaporization at the

normal boiling point, (11587 + 22 J/mol) at 144.093 K, corrected for the ice1

2

point 273.15 K, and molecular weight on the C scale) [16]. In 1956 Jarry

and Miller reported vapor pressures up to their observed critical-point at

233.9 +0.1 K, as well as densities of the saturated liquid from 78 to

170 K [11]. Some P-p-T compressibility data were reported privately by E. A.

Burns (1975) [1], and by E. M. Van der Waal and R. E. Anderson (1977) [1]. The

range is 273 < T < 344 K, 21 < P < 200 atm, 0.14 < p/p^ < 1.48.

Thermodynamic functions for ideal gas states appeared in the JANAF

Thermochemical Tables in 1969 [2]. Thermodynamic properties over the P-p-T

surface were computed by Seshadri, et al. in 1970 by use of some of the above
data and a Martin-Hou equation of state in which all parameters were estimated

from simple physical properties [18].

At the start of present work, apparently no experimental compressibility

data existed below 273 K. There were no experimental densities for saturated

liquid above 170 K in the all-important critical region, and no such densities

whatsoever for the saturated vapor. No virial equation of state was found for

low-density gas. No saturated liquid specific heat data existed above the normal

boiling point and there were no data at all for the single-phase fluid.

The present report includes results of experimental and computational work.

The PVT compressibility measurements are described in a manuscript by Goodwin [7]

for the range 90 to 320 K at pressures to 300 bar. Table 5 presents a comparison

of these data with the nonanalytic equation of state. Specific heat

measurements, for the saturated and compressed liquid up to 300 K, are described

in a manuscript by Weber [22].

In the following we at first give a full description of development of the

nonanalytic equation of state and of the computation of thermodynamic properties

tabulated in this report. The specific heat measurements are described where

appropriate, and the analytic, BWR-type of equation of state [10] is described in

Sections 3.5 and 5.5. Finally, some comparisons are made between experimental

and calculated data from the two equations of state, and also between calculated

thermodynamic properties from the tv/o equations.

In present work, we have derived second virial coefficients from 200 through

320 K. Vapor pressures have been measured from 160 K (2.75 bar) up to the

critical point at 234 K (44.607 bar), and data have been derived via thermal

loops from the triple- to the normal boiling-point (144 K) . Some orthobaric

densities have been derived at temperatures well below the critical. Apparent

gravitational effects in our P-p-T data near the critical point preclude accurate

extrapolation of experimental isochores to the vapor pressure curve in the

critical region.

We have formulated the vapor pressures and orthobaric densities from the

triple- to the critical -poi nt, and then have developed the highly constrained,

nonanalytic equation of state via our P-p-T data. This equation has the valuable

property for t hemodynamic computations that i-t is structured to be consistent

with the known behavior of specific heats about the critical point. We also have

fit an analytic 32-term Benedict-Webb-Rubin (BWR) equation, useful for many

applications, to the P-p-T and specific heat data.

2
We subsequently formulate the available, ideal gas specific heats. We

derive heats of vaporization via thermal loops from the triple- to the

boiling-point, and via the Clapeyron equation up to the critical temperature, and

formulate these data, to obtain enthalpies, entropies, and specific heats of the

saturated liquid, and finally a complete thermodynamic network over the P-p-T

surface. We then compare results from the analytic and nonanalytic equations.

The commercially purified NF^ for the PVT work is 99.925 percent pure,

and 99.90 percent for the specific heat measurements. Apparatus and the

data-reduction programs for PVT work are the same as modified by G. C. Straty in

prior work on ethylene [19]. The sample cell is 12.5 cm high, with a volume of

3 about 28.5 cm . It is connected to a pressure transducer via a very small

stainless steel capillary tube, brought out through the walls of the cryostat at

a height within about 5 cm above the top of the cell (to avoid corrections for

hydrostatic pressures in the former, vertical capillary). The transducer was maintained at 330 K.

Symbols and units for this report are in Appendix A, and fixed-point values

in Appendix B. Computer programs are in Appendices C and D. The densitytemperature phase diagram is outlined in fig. 1, where the upper left corner

shows the qualitative behavior of freezing liquid densities. Explanations for

table headings are in Appendix E.

2. PHYSICAL PROPERTIES

2.1 Fixed-Point Values

These values are listed in Appendix B.

(a) The Triple Point . The temperature used is from Pierce and Pace by

subtracting 0.01 K for the ice-point [15]. This choice was made before our subsequent redetermination yielded a value 0.1 K higher [22]. The pressure is

from our vapor-pressure eq. (1). The liquid density is assigned as a fitting

parameter in eq. (2). The vapor density from eq. (3) is based on data derived

from the vapor-pressure and virial equations.

(b) The Boiling Point . The temperature of 144.0935 K is from the

vapor-pressure eq. (1) at a pressure of 1 atm = 1.01325 bar, as compared with

144.10 K reported by Jarry and Miller [11]. The liquid and vapor densities are from eqs. (2) and (3)

.

(c) The Critical Point . The temperature, 234.0 K, is selected for fitting

estimated orthobaric densities and P-p-T data, as compared with 233.9 + 0.1 K

3
observed directly by Jarry and Miller [11]. The density, 7.92 mol/L, has been

selected by the condition that, at the critical point, the slope of the critical

isochore (from the equation of state) be equal to the slope of the vapor-pressure

equation, 3P/3T = dP^/dT. The critical pressure is from the vapor-pressure

eq. (1).

2.2 Vapor Pressures and Melting Pressures

(a) Vapor Pressures . Vapor pressures from the triple- to the boiling-point

have been estimated via thermal loops as described in refs. [3,4], and in Program

Ziegler, Appendix C. This computation yields also densities of the saturated

vapor, and heats of vaporization. Information used includes the ideal gas

specific heats, eq. (7); the virial eq. (4); specific heats of the saturated

liquid [16]; and the heat of vaporization at the normal boiling point [16].

Vapor pressure above the boiling point have been measured directly, as reported

in table 1. The data are formulated by use of the argument x e T/T^,

£n(P) = a + b/x + c*x + d*x^ + e*x^ + f«x (1 - x)^ , (1)

where P is in bar, e = 1.75, and

a = 20.3154 17602 d = 20.1621 94616

b = - 8.3620 69370 e

= - 6.9186 62727

'

c = -21.3989 86401 f = 3.6777 99376

Under heading ID in table 1 is given the source of data for each line, as specified at the top of this table. Heading DPS/DT is for calculated slopes of

the vapor-pressure curve in bar/K. The calculated critical-point pressure (at

234.0 K) is 44.60713 bar, and the critical-point slope is 1.24509 bar/K. Data

from other sources are given for comparison at the bottom of table 1. From

about 2 bar up to the critical point, the vapor pressures of Jarry and Miller

exceed ours by several percent. They used a 1000 psi Bourdon gage accurate to

0.25 percent of full scale, whereas we used a piston-type, oil dead-weight gage.

The last column of table 1 gives the experimental residual,

£n(P/P^)/£n(P^/P^) - (1 - T^/T)/(l - T^/T^) ,

which has been used in the past to develop the extended, nonanalytic

vapor-pressure equation.

At the normal boiling point (144.0935 K) the vapor-pressure slope from

eq. (1) is dP^/dT = 0.070882 bar/K. The Clapeyron equation, with orthobaric

4
!

densities from eqs. (2) and (3) below, yields a derived heat of vaporization,

Q.,a_

= 11 .583 kJ/mol , as compared with the experimental value 11 .587 + .022

vap

kJ/mol of Pierce and Pace [16], (adjusted to the C molecular weight scale).

(b) Melting Pressures . No data have been found for pressure vs. temperature at the liquid-solid equilibrium of NF 3 , i.e., the melting line.

This boundary is used here in the tables of functions along isobars merely as a low-temperature limit for the tabulations, and for convenience we have

substituted the reduced Simon equation for methane, P = P^ + Pq*[(T/T^)^- 1],

with Pq = 1909.40 bar, e = 1.85, and P^, for NF^.

2.3 The Orthobaric Densities

We have used the present nonanalytic equation of state (which incorporates

the vapor-pressure equation) to describe pressure vs. T along experimental

pseudo- isochores. For a given density (isochore) it is necessary merely to find

the coexistence temperature, T^(p )5 by iteration for a best "fit" of these

data [5], as follows from eq. ( 6 ) below for a fixed density (and assuming values

of non-linear parameters from preliminary work) -

[P - Pg{T^) - PR*-(T - T^)]/(p^r\) = B-t(p,T,Tg) + C'fCp.TJ^) .

wherein B and C are least-squares coefficients for a given density. At densities

in the range roughly + 30 percent, the results are unacceptable, but their

qualitative behavior suggests gravitational effects on the P-p-T data in the

critical region, by comparison with published studies of this effect [14,20,23].

3

The critical density of NF^, 0.562 g/cm , is large relative to that of many

3 simple substances, e.g., 0.16 g/cm for methane.

The behavior of orthobaric densities about the critical point is well known

to be described by a term [T - T^| where traditionally the exponent was e = 1/3,

and more recently e = 0.35 [17]. In the following representations of the

orthobaric densities we use e = 1/3, and a minimum of coefficients by use of data

well -removed from the critical temperature.

(a) Saturated Liquid Densities . In table 2 our derived densities are identified by ID = OOO"*", wherein the last two digits are the sequence number

of the experimental pseudo-isochore run. The extensive data set of Jarry and

Miller from 78 to 170 K at ID = 6 is included with a low weighting. Our

calculated densities are roughly 0.4 percent greater than theirs. As the

accuracy in each set is believed to be + 0.1 percent, the reader of this report

5
must assume an uncertainty of 0.2 percent about the mean. Our densities are essential for our equation of state in the compressed liquid region. In table 2

the heading X is for x(T) = DDS/DT is for slope of the

saturated liquid curve in (mol/L)/K. We represent these densities by use of the

further reduced variable, y(p) = (p-p^ )/(P|.-P^)

,

y

= X + (x^ - x) f(T), f(T) = a + b*exp[2«(l - T^/T)] , (2)

where e = 1/3, and

a = 0.7543 77410, b = 0.0279 75083.

The experimental residual, (y-x)/(x -x), in the last column of table 2 was

used to develop a functional form for f(T).

(b) Saturated Vapor Densities . In table 3 our densities derived via

thermal loops are identified by ID = 43, and results via isochores, the

vapor-pressure equation and the equation of state by ID = 900"^. Our recent

formulation yields a compressibility factor for saturated vapor which approaches

unity at low densities, by use of the vapor-pressure equation [4]. Let

where is value of the compressibility factor at the critical

point, and define the variables,

n(T) = = 1 - X .

The saturated vapor densities, d^ 5 P^(T)/[Z^(T) R T], then are described by

Z^(T) = 1 + A^*n*x"^ •f(x) , f(x) = 1 + a *u^ + b »u + c*u^, (3)

with

e = 1/3 b = 0.3800 17523

a = -0.7109 56694 c = 1.6228 47586

The seventh and eighth columns of table 3 give experimental and calculated

values of the compressibility factor for saturated vapor. The next-to-last

column gives the experimental values, F(Z) = (Z-1 ) *x2/[Ao *n] , used to develop

a functional form for f(x). Very small inaccuracies in low-density data yield

large relative errors in the experimental values of (Z-1). The last column of

table 3 gives the slope of the saturated vapor densities curve in (mol/L)/K.

2.4 Second Virial Coefficients

The truncated virial equation of state (for gas at densities roughly below

0^/5) may be arranged to

6
(Z - D/p B(x) + C(x) *p + . . . =

( 4 )

in which we use reduced variables x e T/T , p e d/d . With P-p-T data along

C 0 seven isotherms from 200 thru 320 K we have obtained values for the second and

third virial coefficients, B(x) and C(x), by least squares. Results for C(x) are

not highly regular, but for B(x) they are formulated as follows,

B(x) = + B

2

/X + B

3

/x^ , (5)

B^ = 0.4938 2731 B

3 = -0.3898 3811

B

2

= -1.3097 2686

In table 4, column B(T) is the second virial coefficient in cm^/mol

,

A whereas B is the dimensionless value B(x) in eq. (4). This equation with

C(x) = 0 was used for the thermal loop computations [3,6] to obtain the density

at any given (P,T), and to obtain AH and AS by integration along isotherms from

ideal gas states up to the derived, saturated vapor boundary at temperatures up

to the normal boiling point.

2.5 The Nonanalytic Equation of State

This isochoric equation is modified from those described earlier [3, 4, 5, 6 ],

It is constrained to a given liquid-vapor coexistence boundary, and yields a maximum in isochoric specific heats at the critical point. It is adjusted to our compressibility data in table 5. Data of Burns and of Van der Waal are not

used for the adjustment.

At the critical point the derivatives 3p/3T and 9p/9P become infinite for

any pure fluid. The slightest error in experimental pressures due to

gravitational effects therefore will correspond to gross deviations of density in

the critical region, as is well known. In present work, P-p-T data in the

critical region are given a low weighting, where density deviations are several

percent.

The form of this nonanalytic equation is

P - P^(p) = pR*-[T - T^(p)] + p^R*T^-F(p,T) . ( 6 )

F(p,T) E B(p)»$(p,T) + C(p) *'i'(p,T) , ( 6 a)

in which, for any given density (isochore), the liquid-vapor coexistence

temperature, To(p), is obtained by iteration from eqs. (2) and (3) for the

7
orthobaric densities, and the vapor pressure, P^[T^(p)], thus is a function of

density. The temperature-dependent functions in eq. ( 6 a) are

t(p,T) = x^^^>£n[T/Tg(p)] , ( 6b)

4'(p,T) = ip(p,T) - 4)^(p) , ( 6c)

where 'l'^(p) is obtained from \i»(p,T) merely by replacing T with T^(p),

^(p,T) = 6 -fi(T) + (1 - 6 ).f

2 (p,T) , ( 6d)

f^ (T) = exp[e»(l - x)] , ( 6e)

= 1 - (w - ti)’^/n)/(l - 1 /n) . ( 6f)

The

and

parameter, 0 _< 6 _< 1 , in eq. ( 6d) is for relative weighting of the analytic

nonanalytic parts, and —

w(p,T) = [1 - 0 {p)/T] , ( 6 g)

where e(p) is a locus of temperatures inside the coexistence envelope

0 (p) = T^(p) *exp[- a‘f(p)] , ( 6 h)

f(p) = ip - ii^/(Pt - 1)^ , ( 6 i)

and p^ is reduced density of liquid at the triple point. The density-dependent

coefficients in eq. ( 6 a) are

B(p) = B^ + B

2

*P + B^’P^ , ( 6 j)

C(p) = (C^ + C

2 p)*(p - l)*exp{- yp'^) . ( 6k)

Parameters and least-squares coefficients of ( 6 ) for NF^ are a = 1 ,Y = 1,6 = 1 / 2 , e = l,n = 1 . 10 , m = 1 ,

/

B] = 0.5519 9813 920 C] = 0.7406 7409 894

B 2

= 0.1326 8809 584 C 2 = 0.2937 5371 520

B

3 = 0.2060 8495 802

8
The overall "fit" of present P-p-T data is not sensitive to small relative

changes in the non-linear parameters, excepting n = 1 . 10 , which value was not

explored. Table 6 gives behavior of coefficients B(p), C(p).

In present work the assigned critical density was varied to obtain a critical isochore (from the equation of state) having a slope at the critical

point equal to that of the vapor- pressure equation, 8 P/ 8 T = dP^/dT, Following

this, these two slopes at the critical point were constrained to equality via the

least-squares program [9,12], This procedure leads to a critical isotherm free

of negative slopes, (3P/3p)^ , as shown in table 7.

' c 2 2 The sign of the curvatures of isochores, 3 P/3T , at the coexistence boundary

2 2

[T = T^(p)], is determined uniquely by the sign of C(p) because 3 t/3T = 0 on this boundary. The present compressed liquid isochores for NF 3 have positive

curvatures 3 P/3T up to the highest densities (lowest temperatures) measured

experimentally, in contrast to experience with other, simple cryogenic fluids.

This behavior is obtained from the equation of state via the positive values of

C(p) at high densities as seen in table 6 .

2.6 The Ideal Gas Functions

We have formulated specific heats Cp(T) for NF 3 from the JANAF tables [2]

as follows, using x = T/lOO,

5 , . C°(T)/R = 4+exp(-e/x)* X! A. *x "

, (7)

P i = l 1

where,

e = 8.76 A3 = 228.231 405

A] = 6.118 9724 A

4

= -249.067 052

^2 = 48.162 6880 A5 = 564.293 045

Table 8 shows the "fit" of data used. The calculated values of (H°-H^)

and of S° are obtained by numerical integrations, starting at T = 300 K.

Table 9 gives interpolated values at integral temperatures.

2.7 The Heats of Vaporization

Table 10 shows the "fit" of data used for NF 3

. Those below the

boiling-point at ID = 39 we derived via thermal loops as described above, and

those at ID = 40 are via the Clapeyron equation. Unpublished, estimated data

from the Aerojet Company [1] are given last for comparison, ID = 23. The

formulation of these data uses argument x(T) = ,

9
( 8 ) Qygp/Q^ = X + (x^ - x) *[a + b*x + c«x^] ,

where e = 0.38, and

= 14.548 kJ/mol

a = 0.9982 47122

b = 0.2695 36103

c = -0.4050 10672

The experimental residual in the last column of table 10 is

^^vap/^t

- •

2.8 Specific Heats of Saturated Liquid

Specific heats, C^(T), along the saturated liquid path, are needed as a base

to compute specific heats in compressed liquid states. The techniques described

here were developed before the measured data of Weber [22] were available, and

they were used to produce the values given in tables 14 and 15. Starting with

the ideal gas functions S°(T), we have used the equation of state and the heats

of vaporization to tabulate S^(T) for the saturated liquid at 35 temperatures

from the triple- to the critical point. These are represented in J/mol/K with an rms relative deviation of 0.002 percent by use of x(T) = T/T^, u(T) = (1-x),

A, »u^ + A^*£n(x) + A. ‘u^'"^

‘ ^ i=3

^ (9)

where e =0.33, and

Sc = 197.03182 J/mol/K A4

= - 16.4628 7979

A5 = 241.1959696

A5

= -288.5828 349

A7 = 230.9162 107

Ai = - 27.0414 1165

A2 = 168.4875 348

A3 = 117.5913 487

The specific heats for saturated liquid follow from the relation

C^(T) = T.dS^/dT, in J/mol/K,

C (T) = - e ‘A, *x »u^"^ a I

7 + A„ - X* X! (i - 2)*A. *u ^ i = 3

^ i-3

( 10 )

Calculated values for C (T) appear in the eighth column of page two of table 14. a

10
2.9 Specific Heats at Constant Volume

The specific heat at constant volume, C^(p,T), may be calculated from the

equation of state and the ideal gas properties by methods outlined in Secion 3.

Recently, nev/ experimental data for specific heats have been published by one of us [22]. Since this quantity is a measure of the temperature variation of the

state properties (E,H,S) a comparison between calculated and experimental values

is useful for estimating uncertainties. Such a comparison with the nonanalytic

and with the analytic equation of state is given in fig. 3 and in table 17.

2.10 The Analytic Equation of State

For many purposes it is convenient to use an analytic equation of state to

represent the properties of a substance. Here we have used the 32 term BWR

equation reported by Jacobsen [10], v/hich has the form.

11
P = pRT + p^(A,T +

+ p^(AgT + A^ + Ag/T, + Ag/T^)

+ p''(A,qT + a,, + A^g/T)

+ P^(A,g)

+ P®(A,^/T + A,g/T^)

+ P^A,6^’^>

+ p®(A,^/T + A,g/T^)

+ P^{A,g/T^) (11)

2 + e'^P [p^(AgQ/T^ + Ag,/!^)

+ p^Agg/T^ + A23/T'')

+ p^Ag^/T^ +

+ P^(Agg/T^ + Ag^l'')

+ p”(Agg/T^ + Agg/T^)

" p'^Agg/r . Ag,/!^ . Agg/T^)]

The parameters are given in table 16 and a listing of the program and subroutines

used is given in Appendix D. From the listing it is seen that all of the

thermodynamic properties may be calculated quickly and conveniently in closed form

as functions of the density and temperature. Since the equation is explicit in

pressure, the density must be found by iteration. The FUNCTION FINDD in the

appendix is used for this purpose. This equation of state, with 32 adjustable

parameters, is much more flexible than the nonanalytic equation; therefore, a large body of precise data is necessary to insure proper behavior. In addition

it should not be extrapolated far beyond the bounds of the data, particularly in

the direction of higher densities. On the other hand, since the derived

properties can be expressed directly in terms of the parameters, other data such

12
I

as the specific heats may be included in the fitting process by making use of

multiproperty fitting techniques such as described by Must and McCarty [9].

In applying the equation to NF^ we used the 225 P-p-T data of Goodwin [7],

25 points on the saturation boundary calculated from the relations in Section 2.3

abpve, a few high density points in the compressed liquid between the triple

point and 90 K calculated from the nonanalytic equation, 47 single phase specific

heats, C^, and 101 saturated liquid specific heats, C^, from ref. [22]. We also

included some calculated data which help to insure that the chemical potential is

the same for the saturated liquid and vapor at a given temperature, in other

words that AH = TAS across the two phase boundary. These data make use of the

vapor pressure and orthobaric density equations in Sections 2.2 and 2.3. In

addition the equation is constrained to the critical point, and the derivatives

(3P/3p)^ and (3 P/3p )y are constrained to be zero at the critical point.

This equation, like all analytical equations, does not fit the data well in

the critical region. The average absolute deviation in density is 0.50 pet when

all of the data are considered. If the deviations of the points in the range

235 - 240 K and p^ + 28 percent are not counted, the average absolute deviation

drops to 0.14 percent. The average absolute deviation from the data is

0.97 pet and for the data it is 1.42 pet, which are quite reasonable for

this type equation. Some typical deviations are shown in figs. 2 and 3.

3. COMPUTATIONAL METHODS

(Nonanalytic Equation of State)

The numerical values for E and H in this report are based on the assigned

value, E = 0 at the liquid triple-point, obtained by use of the arbitrary value,

E° = 12340.685 J/mol , for ideal gas at T = 0. Specific heats of Pierce and

Pace [16] could be integrated to give the solid at T = 0 as reference state.

3.1 The Homogeneous Domain

The homogeneous domain of fig. 1 includes all regions which can be attained

along isotherms starting at zero density without crossing the vapor-liquid

"dome," and without passing very 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 = y* [P - T.-(9P/8T)].dp/p^ , (12)

T3
AC. - (9^P/3T^)«dp/p^ (13)

AS = R-£n[P°/(pRT)]

+ f

(3P/9T)/p]-dp/p , (14)

Equation (14) is for use with initial entropies in hypothetical ideal gas states

at P° = 1 atm. For all other initial states we use

AS = -J(3P/3T)*dp/p^ .

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

H = E + P*v ,

C = + T-(8P/3T)^/(3P/3p)/p^ ,

W‘ = Cp-(3P/3p)/C^ .

(Ua)

(15)

(16)

(17)

3,2 The Saturated Liquid

At temperatures from the triple point up to the critical point, we first

obtain thermofunctions for the saturated vapor via eqs. (12) through (15). We

then use eq. (8) for the heat of vaporization, Q„gp> to compute

V U [J AH = -Q, AS = AH/T , (18)

such that the free energy of vaporization, AF = AH - T*AS, is zero. Having

obtained H and S for the saturated liquid, we compute E = H - P*v.

The single-phase specific heat, C^(p,T), at the saturated liquid boundary

is obtained via eq. (10) for C^(T) and the thermodynamic relation,

Cy(p,T) = Cg(T) + T-(3P/3T)-(dPjj/dT)/p^ , (19)

where p. is density of the saturated liquid. Values for C (p,T) and W(p,T) on

J6 P this boundary follow from eqs. (16) and (17). For liquid at the boiling point we have obtained.

Tb = 144.0935 K, Hb = 5 538.1 J/mol

,

Eb = 5 533.4 J/mol, Sb = 147.694 J/mol/K.

14
I

3.3

The Compressed Liquid

Starting with above values for E, S, and on the saturated liquid

boundary, we use eqs. (12), (13), and (14a) to integrate along isotherms, and

then obtain H, Cp, and W via eqs. (15), (16), and (17).

3.4

Subroutine THERMO

In Appendix C, we have prepared a Subroutine, THERMO, for convenience to

the reader in computing properties at any random, (P,T) point. ENTRIES at the

bottom of this subroutine are given for the two-phase boundaries, in which the

independent variable is pressure. The present computational method of

integration along isotherms canno.t be used on or very near the critical isotherm

to obtain C^, Cp, or V/ at supercri ti cal densities or pressures, because the

specific heats pass through infinity at the critical point.

3.5

Computations With the Analytic Equation

Calculation of the thermodynamic properties by means of the analytic

equation is extremely simple. Relations (12-17) are used for this purpose. If,

as indicated in Section 2.10, data are included to influence the equation to

yield a constant chemical potential across the gas-liquid boundary, we can then

perform the integrations indicated in eqs. (12-17) right through the two phase

region in closed analytical form, without reference to heats of vaporization or vapor pressures. Examples illustrating these calculations are given in the

program listing in the appendix.

4. COMMENTS

It is well known that extremely accurate physical properties data are needed for thermodynamic properties computations. In present work we see inherent deficiencies in P-p-T data near the critical point due, we believe, to

gravity. For this the only remedy apparently is specialized apparatus, because

no simple computational procedure is available to make corrections [14].

The orthobaric densities in the critical region are especially important for

the Clapeyron equation, and for the present highly-constrained equation of state.

They should be measured directly by methods such as those used by Weber [21] or Haynes [8].

Heats of vaporization also always are needed over the v/idest practical

temperature range, and it is obvious also, that a Burnett-type determination of

virial coefficients is needed, especially for lower temperatures and densities

than available in present work.

15
The above deficiencies lead to a diminished accuracy, but not to

irregularities or inconsistencies with the present, nonanalytic equation of

state, as seen by inspecting derivatives of the P-p-T surface in tables 7, 11,

12, 14, and 15.

5. TABLES OF PHYSICAL AND THERMODYNAMIC PROPERTIES

5.1

Calculated P-p-T Isochores and Isotherms

Tables 11 and 12 give a selection of isochores and isotherms computed by

equation of state (6). These are essential to examine behavior of the P(p,T)

surface. They are a useful supplement to the isobars of table 15 for

interpolating P-p-T values and their derivatives.

5.2

The Joule-Thomson Inversion Locus

Table 13 gives the P-p-T locus of the J.-T. inversion, (3T/3P)^ = 0,

obtained from equation of state (6) under the condition T (9P/3T) = p (3P/3p).

This table has been computed to temperatures well above those of P-p-T data, to

show a maximum in P-T coordinates. In this table under heading DI are given the

initial densities used to start the iteration for density in heading MOL/L. We

thus know that convergence is attained within present limits of DI + 3.2 mol/L,

Subroutine JTLOCUS.

5.3 Thermophysical Properties of the Saturated Liquid

Table 14 gives physical and thermodynamic properties of saturated liquid,

computed by methods of Section 3, using eq. (6). Column headings are interpreted

on the first page of this table.

5.4 Thermophysical Properties Along Selected Isobars

Table 15 gives physical and thermodynamic properties on isobars, computed

by methods of Section 3, using eq. (6). Explanations for this table are given on the first page. This table is extrapolated below the minimum temperature (90 K),

and above the maximum pressure (x 300 bar) of P-p-T data used for adjusting the

equation of state.

5.5

Results From the Analytic Equation

The derived properties may be calculated from the analytic equation by

making use of the subroutines given in Appendix D. A sample program is also

included there to illustrate the proper method of utilizing the subroutines.

Detailed calculated results are not tabulated in this report because of the space

requirements. However, table 17 gives a comparison of several of the derived

16
I

properties calculated via the analytic and nonanalytic equations. Since the zero for enthalpy is arbitrary, the equations v^ere adjusted to give the same value for

the liquid at the triple point.

Table 17 compares properties computed via the nonanalytic eq. (6) with

properties via the BWR-type eq. (11). At given pressures and temperatures,

table 17 presents differences [eq. (6) minus eq. (11)] of density in percent;

of enthalpy (J/mol); of entropy (J/mol/K); and of the specific heats, Cy,

Cp, in percent. These comparisons serve to indicate the uncertainties in the

derived results.

Figure 2 presents a comparison of the deviations of experimental densities

from calculated values obtained via the two equations of state: open circles for

the nonanalytic equation and filled circles for the BWR-type equation. The

greatest relative deviations of several percent, from each equation, occur in the

critical region near = 7.92 mol/L, and T^ = 234.0 K. This behavior has

been encountered often in work on other fluids.

Figure 3 presents a comparison of the deviations of experimental singlephase specific heats [22] from calculated values via the two equations of state:

open circles for the nonanalytic equation, and filled circles for the BWR-type

equation.

6. ACKNOWLEDGMENTS

The authors are indebted to many staff members of this research group for

valuable suggestions. Robert D. McCarty contributed the essential least-squares

program, providing for constraints. Finally, we express grateful appreciation

for support of this work by the U.S. Air Force Weapons Laboratory.

17
7. REFERENCES

[1] Aerojet Liquid Rocket Co., unpublished report (Oct 28, 1977).

[2] Nitrogen Tri fluoride (Ideal Gas), JANAF Thermochemical Tables , Dov/

Chemical Co., Midland, Michigan (Jun 30, 1969).

[3] Goodwin, R. D., Provisional thermodynamic functions of propane, from 85 to

700 bar, Nat. Bur. Stand. (U.S.), NBSIR 77-860 (Jul 1977).

[4] Goodwin, R. D., Modification of the nonanalytic equation of state for the

limit of low densities, J. Res. NBS Nat. Bur. Stand. (U.S.) ^

(4), 325-27

(1978).

[5] Goodwin, R. D., The nonanalytic equation of state for pure fluids applied

to propane, 176th National Meeting of the American Chemical Society, Miami

Beach, Florida, Sept. 10, 1978. To appear in a volume of the Advances in

Chemistry series.

[ 6 ] Goodwin, R. D., Isobutane: provisional thermodynamic functions from 114

to 700 K at pressures to 700 bar, Nat. Bur. Stand. (U.S.), NBSIR 79-1612

(Jul 1979).

[7] Goodwin, R. D., PVT Data and an Equation of State for Nitrogen Trifluoride,

to be submitted to the Nat. Bur. Stand. (U.S.) J. Res.

[ 8 ] Haynes, W. M., Hiza, M. J. and Frederick, N. V., Magnetic Suspension

Densimeter for Measurements on Fluids of Cryogenic Interest, Rev. Sci . Instrum. No. 10, 1237 (1976).

[9] Hust, J. G. and R. D. McCarty, Curve-Fitting Techniques and Applications to

Thermodynamics, Cryogenics 200 (1967).

[10] Jacobsen, R. T., The Thermodynamic Properties of Nitrogen From 65 to 2000 K With Pressures to 10,000 Atmospheres, Doctoral Thesis, Washington, State

Univ., 1972.

[11] Jarry, R. L. and Miller, H. C., The liquid density, vapor pressure, and

critical temperature and pressure of nitrogen trifluoride, J. Phys. Chem.

60, 1412-13 (1956).

[12] McCarty, R. D., Least-squares computer subroutine, unpublished report, this

laboratory (Jan 3, 1972).

[13] Menzel , W. and Mohry, F., The vapor tension of CF 4 and NF3 and the

triple point of CF4 , Z. anorg. allgem, Chem. ^1^, 257-63 (1933).

[14] Moldover, M. R., Sengers, J. V., Gammon, R. W. and Hocken, R. J., Gravity

effects in fluids near the gas-liquid critical point. Rev. Modern Phys.

^

(1), 79-99 (1979).

18
[15] Pierce, L. and Pace, E. L., The triple point temperature of nitrogen

trifluoride (66.37 K) as a possible fixed point, J. Chem. Phys 22, 1271

(1954)

[16] Pierce, L. and Pace, E. L., Thermodynamic properties of nitrogen

tri fluoride from 12 K to its boiling point. The entropy from molecular

and spectroscopic data, J. Chem. Phys 2^, 551-5 (1955).

[17] Rowlinson, J. S., Liquids and Liquid Mixtures , Butterworths Scientific

Publications, London (1959); also second edition (1969).

[18] Seshadri , D. N., Viswaneth, D. S. and Kuloor, Thermodynamic properties of

nitrogen trifluoride, Indian J. Technol . 8 (5), 153-60 (1970).

[19] Straty, G. C., PVT of compressed fluid ethylene, submitted to J. Chem.

Thermodynamics, March 1979.

[20] Ulybin, S. A. and Malyshenko, The influence of the gravitational effect on the density of substances near the critical point. Advances in

Thermophysical Properties at Extreme Temperatures and Pressures , Third

Symposium, The Am. Soc. Mechanical Engrs, New York, New York (Mar 22,

1965).

[21] Weber, L. A., Density and Compressibility of Oxygen in the Critical Region,

Phys. Rev. A 2, No. 6, 2379 (1970).

[22] Weber, L. A., Measurements of the Specific Heat, Cy, of Dense Gaseous and

Liquid Nitrogen and Nitrogen Tri fluoride, to be published.

[23] Weinberger, '1. A. and Schneider, W. G., On the liquid-vapor coexistence

curve of xenon in the region of the critical temperature. Can. J. Chem.

422-37, 847-59, (1952).

19
Appendix A. Symbols and Units

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

Subscripts g and a refer to saturated vapor and liquid.

Subscript a refers to liquid-vapor coexistence.

a, Y, 6, c,

B(P). C(p)

B*(x)

Cv(p,T)

Cp(p,T)

Ca(T)

d

E(P,T)

H(P,T)

J

Lmol

PPo(T)

P„(P)

«(P,T)

'l'(pj)

R *

R

PS(P,T)

T

Ta(p)

e(p)

w(p,T)

x(T)

x(T)

X„(p)

Z(P.P.T)

non-linear parameters in the equation of state

density-dependent coefficients in the equation of state

reduced second virial coefficient

isochoric specific heat, (J/mol)/K

isobaric specific heat, (J/mol)/K

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

density, mol/L

the internal energy, J/mol

12,340.685 J/mol (arbitrary)

enthalpy for ideal gas state at T = 0

the enthalpy, J/mol

the joule, 1 N-rn the liter, 10"^m^

71.0019 grams of NF^ scale)

pressure in bar, 1 bar = 10^ N/m^, (1 atm = 1.01325 bar)

the vapor pressure, bar

P^[T^(p)], vapor pressure as function of density

function in the equation of state

function in the equation of state

the gas constant, 8.3145 (J/mol )/K, 0.083145 (bar-L/mol )/K

(0.083145) ‘Jq

,

bar/K, for the equation of state

d/dc, reduced density

the entropy, (J/mol )/K

temperature, K (IPTS 68)

liquid-vapor coexistence temperature, K defined locus of temperatures, K [l-e(p)/T], for the equation of state

T/T(.» for the equation of state

variously defined for other equations

To(p)/Tc» reduced coexistence temperature

P/(d*R«T), the "compressibility factor"

20
Appendix B. Fixed-Point Values Used for NF3

Triple Point Boiling Point Critical

Temperature, K 66.35 144.0935 234.0

Pressure, bar 1.85425*10"^ 1.01325 44.60713

Density, mol/L

Vapor 3.3612*10"^ 8.782*10"^ 7.92

Liquid 26.320 21.662 7.92

21
o

“1/ [OLU ‘ d

22

Figure

1.

Density-Temperature

Phase

Diagram

for

Nitrogen

Trifl

uoride.
A/)//9y

%

Figure 2

320

T, K

Comparisons of experimental with calculated densities: open circles

for eq. (6); filled circles for eq. (11).

'

23
A/>//o,

1 1

1 NFg , /) = 15.1

q

mol/L

i M m • • • • i k ^ 8 O 0 O 0

1 1

o y

220 240 260 280

T,K

1

) i9

^

/0 = 20.63

•000• 0

<

• •

1 ^

•

i

160 168 176 184

T, K

102

T, K

Figure 2, Continued. Comparisons of experimental with calculated densities

open circles for eq. (6); filled circles for eq. (11).

24
I

T, K

>

O

4

0

4

240 260 280 300

T, K

1 1 r ,

/> = 22.04 mol/L

1

o

•o

1 1 L

•

o

136 144 152 160

T, K

Figure 3. Comparisons of experimental with calculated specific heats: open

circles for eq. (6); filled circles for eq. (11).

25
Table 1. Vapor Pressures of NF^.

ro •

fOO' O' ^ N»

C9

in

N.

II

0 ro in 0 O' 00 CVJ N. O' in r- OJ rw O' in CM r>- ro CM 0 in uo ro CM in J- CO CM N. vO in M3 cn 0 I'- CD 0 LA j- LA cn 00 CJ ro fw OJ cO ro ro <X3 N. ro CO GD r^ M> r>. r» r^ a> m O'

to 0 h- vO i\j lO O' CM (M CM CM 0 CO r^ in CT> r'- lA ro 0 CO N. vO ro CM CM 4 0 0 0

UJ 0 0 H CM CM (M ro w ro hO fO ro ro CM CM CM tH 0 0 0 CO 0 0 0 0 O o 0 0

lO

fO

tx 0 0 CD CD 0 0 CD C3 0 0 0 CD 0 0 0 CD 0 CD 0 0 CD 0 0 0 0 0 0 0 0 CD 0 0 0 0

O'

N.

h- vO in j- fO ro ro nj ni tM CM 0 O CD 0 CD a 0 0 0 0 0 0 0 0 0 0 0 0

fs. 0 0 0 CD 0 0 0 0 0 0 0 0 0 0 o 0 0 0 0 0 CD 0 0 0 0 0 0 0 0 0 0 0 0 0 0

iO \ • 1 1 1 1 1 • 1 1 1 1 1 1 1 • 1 4- <f 4^ 4- + •4- + 4> + •f + 4- • CO LU UJ UJ UJ UJ UJ Ul UJ Ul Ul Ul Ul UJ Ul Ul Ul UJ Ul UJ Ul Ul Ul Ul Ul Ul Ul UJ Ul UJ Ul Ul Ul Ul Ul

K) a. 0 flO N- nj vO 00 ro in j- in CM (M in j- vO vO CM CM in vO vO CM CM CM 0 J- in 0 CM H CM in «o in ro 0 cn vO in CO CM lO lO CM CO in CM 0 O' O' 00 00 O' O' O'

(VJ j- ro (M in CO CM CM in CM rvj ro ro J- in lO r>^ r^ r^ €0 00 O' <T» O'

(M 4 CM CM *-4 CD CM ro CM 0 CM 4- in iC 0 \D CM tH LA t4 4^ CM in ro 4 «4 in

M3 z 0 CD 0 0 CD 0 CD 0 0 0 0 CD 0 0 0 0 CO N. CM t4 ro 0 0 0 0 0 0 0 0 0 CD 0 0 0

CO 0

^4

cr

•

Ol 1 1 1 1 1 1 1 • 1 1 1 1 « 1 1 1 1

M3

1 0 U3 in Mf ro ro CvJ CM CM 4 t4 »4 CD 0 0 0 0 4 4 t4 4 CM CM CM CM CM CM CM CM CM CM CM CM 0 0 0 0 CD 0 0 0 0 0 0 0 CD 0 CD CD 0 0 CD 0 CD CD CD 0 0 CD 0 0 0 0 0 0 0 0 CD

M) -1 1 1 1 1 1 1 1 1 1 • 1 •4 4- 4- * •f 4- 4- * * •4 4^ * •4 4- 4- 4> 4- <4 O' Ul Ul Ul UJ Ul Ul Ul Ul Ul Ul Ul Ul Ul Ul Ul Ul UJ Ul Ul UJ Ul Ul Ul UJ UJ Ul UJ Ul UJ UJ Ul Ul Ul Ul 0 M3 0 M3 ro O' CO r- ro M) O' ro CO ro lO <£) 1'- ro in 0 M3 ro CO 4^ 4- <T> M3 4- ro N. 4- 4- 4- in in in

in J- M3 J- in CO 0 0 r- CM O' CM U3 CM C3f' CD GO O' 0 0 ro 0 M3 CM CO r<. 4 ro M3 M3 in in 4- 4- 4^

j- O' M3 CO in <r M3 in 4- M) CSJ r*. 4 4- w4 ro CM r- cn v4 in O' 4 r^ r^ 0 N- O' O' vO M> Ml CM CO CM r>. in CM M3 0 4- CD O' ro CM <r4 ro t4 in in in CO CM cn 0 ro in CO CM in in O' 0* 4- 4- 4-

t CM r^ ro in 4- O' CM fO t4 CM ro in r^ CM ro 4” in rw CO »4 r4 4 CM CM CM CM CM ro ro ro

lO W (JS 0 DC in in 4^ ro ro AJ CM AJ 4 CD 0 CD 0 0 ^ 4 4 r4 4 CM CM CM CM CM CM M CM CM CM CM CM

1— CM *X 0 0 0 0 0 0 0 0 O 0 0 CD 0 CD 0 0 0 0 0 0 a 0 0 0 0 0 0 0 CD 0 0 a 0 0

UJ w 0 CD 1 1 1 1 1 1 1 1 1 1 • •f -¥ * * <4 * * 4- 4 * 4 * 4r -4 4> 4>

isi cr> in UJ Ul Ul u Ul Ul Ul Ul Ul Ul UJ Ul Ul Ul Ul Ul LU Ul UJ Ul lit UJ Ul UJ Ul Ul lU Ul lU lU Ul UJ Ul Ul Z CO a. Q. CO cn w4 M3 O' M> ro CO 4- ro ro in in 0 O' O' C3 4- O' 4«. 0 CO ro CM in M3 4>. ro ro sO v4 NUl z a 0 «r4 M3 4^ in 0 0 00 ro 0 4- in AJ O' CO 4- ro in O' O' in 4- CM 4~ 0 ro M3 00 M3 in 4- 4 M) X ^ 4- M3 <X3 in 4- cn M3 in 4- r^ CM 4^ t4 4^ 0 ro in cn O' H 40 in O' »-C rs- rw o 4- r^- O' O' M3 vC M3

4^ * M3 CO fVJ N- in (M in CD 4^ 0 O' ro CM ro m 4- in in 00 CM O' 0 ro in CO CM in in CT> O' 4 4 4

CD 0 0 CO N. ro 4 in 4- en CM ro CM ro in f'- CM ro 4' in 4^ OO 4 t4 t4 CM CM CM CM CM ro ro ro 4 0 ro O' w t4 »4 CO

N. O'

•» 0 ro X O' in 00 in CM 00 in CM O' in CM O' M3 CM O' vO ro 0 vD ro 0 4* ro CD r>- 4^ 0 0 4>- r'. 4 4 4 ^ •* M3 • in 4 O' CO CM M3 O' ro r- 0 CO T-c in O' CM N. 4 in eo CM \D O' ro r^ 0 4- CO 00 4 4 in in in

M3 -1 • v4 ro cn 0 ro 4- in r^ to CD v4 CM 4- in M3 00 ro in M3 4- CT 0 ro 4- M3 4«- CO 00 0 0 t4 t4

in <x 0 ^ CM CO cn CM 4> yo CD CD CM 4- r^ cn v4 ro in 4- O' flO 0 CM 4- M3 O' ro in 4^ cn t4 4 4- 4 M3 M3 M3 O' M 0 1 CM CM ro ro ro ro 4- 4- 4- 4- 4- in in in in in M> 4- r^ 4~ 4w f'. CO « 00 00 CO cj' <y» cn O' O' O' O'

r4 o' 0

>- > 4 4. a. o' ro 4- ro a O' in CM O' (T< Ul <3. CO 0 M> "3 r II a 0

•> CM

in «o < h- 9- Ml

Ul w (-1 O' in ro

Oi > 0 CD • Z3 •> r- 1 00 to — to Ul 1 C/3 4 0. •• ro

Ul in 0 0 4

Qi O' in in CM

0. «4 -J ro <0 0

• w4 M> q; Ul z M3 • r^ 0 0 Clt M3

Ql O' Ul 4 Ul X II H lA

:> t-l 4-

0. C3. a ro

ro ^ ro O' O' • u to 4 4- »- 0

z w w 4> Q- AJ

b^oooooooooo c^OOOOOOOOO »— rooooooacsooooaoaooooaoaooooaoaooao oooooooooooaaoooooooaoo ooooooooooooooaoooaooao

lOoinomainoinoinaLnoinooinainainainainoinincaoininin

vo^>^~oooo 0'0'ao^H«-icvjmr0Mj'v0 iOn.kooooo'O'oo rH'^-i-r^cjcomf'jcj

3; C3 o o

o a e o c3 o a e a a

o a o a o

o a a o a o a

C3 C3 C3 CD

CD <3 CD CD O O O O

O CD O CD CD CD o a o a a o

aooaoooooooo cdocdocdocdooocdcd oaoaaoooaooa

T-l^'T-IOCDO'r-ICD^TH'^

oi»5foforofofOf»jfO»otorofofOfoi*5K> T-i^(MCMroro^^inmcOU3v4N>N.a>ao^ oooooooooooooooooo

<smoomooin<oincoincoinioaoinoomin

m nj

26
NF3

VAPOR

PRESSURES,

EPP

=

1.750

Table 1 Conti nued

o o (\l K) lO h- o to ro CSI to in M fO fO ro fO ro OJ ro CVJ CVJ rj fsj OJ

to O o o o o o o o o o o o o o UJ O o o o o o o o o o o o o o

o o o o o o o o o o o o o o

ro Jr \o in N. r- r^ CO <D CM UO j- M3 in OO o O' jt rA O 00 CM to CJ in M3 CJ o o o o o in in CD to in J- CJ irv tr> o O its flO O' o O O o o o o o o o -4 in CM in ro CM <H o CO Cw in ro 00 O' ro ro CJ H

o O o o o o o CD o o in ro to ro ro ro ro ro CM CJ m CJ CJ CM ro ro fO ro ro o o o o o o o o o o o CD o O e» o o e CD o CD o CD CD o CD o o o

r- t-4 y-t <9-4 9*4 4 4 4 y-i t4 94 94 94 t4 94 94 94 «4 to K> CJ CJ CJ CJ y-4 94 94 94 94 94 ro CJ CJ CJ CJ 94 o O O O O o o O CD O o o O O o O O O o O O o O O o CD O o O o o CD O O o O CD o o CD O CD o O

V •f •f •f •f * 4- •f * 4> 4 4 4 4 4 4 4 1 1 1 ( a 1 a I 1 1 1 I 1 a a a a 1 a to LlJ UJ UJ UJ UJ UJ UJ UJ UJ Ui UJ UI UI UI UI UJ UI UI UI UI UJ UI UJ UJ UJ UJ UI UJ UI UI UI UJ UJ UI UI UI UJ UI UI UI UI UJ Ui

0. CM CJ CVJ CVJ CJ (M CJ CJ Jt j- N- r«- |w r^ N. K .J 94 v4 94 94 J- CJ in 94 94 j- vD O' in in lO o 94 O K o CO a -* ^4 t4 9-4 94 t4 94 94 94 CJ CJ CJ CJ CJ in 94 in CO Jf ro O' CO a in fO 00 ro ro in ro in

•H 9~4 cr4 9t4 9*4 4 4 t4 94 94 94 94 94 94 94 t4 yi 94 j- 94 CJ J- <o y» .-1 C'J j- in N. tv vO 94 CM t'- 94

a- ro in O 94 94 r-4 94 in o 94 CJ O CJ in 94 o ^ CJ CJ .J CJ ro ro J- O' t4 cr» CD in 00 in O yt ^ j- J- 00 CM CO o in z

o

0. o O o O O CD 94 O CD CD O CD O O o O o o o o o o o o in O O CJ O' in O yi CJ ro ro ro CO vO -f ro ro h- •tfa a a 1 a a 1 a a a a 1 a r4 cn «-i jf a 1 1 a < t4 ro tJ

in a a a a CJ CJ CM CJ Cl <M CJ CM CJ CM CJ CJ CJ CJ CJ CJ CJ CJ CJ CJ CJ CJ Cl CJ ro CJ CJ «4 94 94 o o CD O o 94 CJ CJ nj 94 H 94 CD o o CD o o o CD o o o CD o o o o CD o o CD o o CD o o o o o o CD O O o o O o o a o o o O o O CD

-1 4 4 4 4 4 4* 4 4 4 4> 4 4 4 * 4 4 4 4 4 4 1 1 1 a a a 4 4 4 4 4 1 1 I a 0 a <t UI UI UI UI UJ UI UI UI UJ UJ UJ UJ UI UJ UI UI UI UJ UJ UI UJ UI UJ UJ UI UJ UI UJ UI UI UI UI UJ UI UI UI UI UI UI UI UI UI UI o C. r^ I'. c- N. c- M} M3 M3 M3 M) in in in in in in 4 4 4 4 4 lO in ro 4 v£) CJ 94 94 t'. I'w 4 CD CJ CJ o 4 4 CM in o CD o O o o CD o ro ro ro ro to O' O' O' O' O' O' 03 OO OO CO flO CO M3 94 nt t'. O' in t'- eo OO in 4 OO O' 94 M3 CJ 4 ro

O' O' O' O' O' O' O' O' o CD CD o o 94 94 94 94 94 94 K> ro ro ro K> c- 4 O 94 94 O' M3 94 in M3 O 4 in Lf\ 94 o O' OO O' O' O' O' O' O' O' O' 94 94 94 94 94 CJ CM CJ CJ CJ CM ro to r»j ro ro ro ro O' N- h- CJ CD CJ O' 4 o ro 4 O K fM CJ o

ro ro ro fO ro fO ro ro 4- 4- 4 4 4 4 4 4 4 4 4 4 4 4 4 lO CJ M3 94 ro K 94 CJ to 4 C- H yi ro OO 94 ro 94

or <M CM CM CJ CJ CJ CJ CJ CJ CJ CJ CJ CJ CJ CVJ CM CJ CJ CJ CJ CJ CM CJ CM ro CJ CM tJ ^4 94 o o o o CD 94 CM CM CM 94 94 94 CD O o o CD o CD o o o CD O o o o o o o o o o CD O o o o o o o o O o CD O CD O O o CD o O O O O

CD 4 4 4 4 4 4 4 4 4 4 4 4 4 4> 4 4 a a 1 a a a 4 4 4 4 a a a a a a 4

9 UI UI UI UI UJ UI UI UI UI UJ Ui UI UI UI UI UI UJ UI UI UI UI UI UI UI IjM UJ UJ UI UJ UJ UJ UJ UI UJ Ui UI UI UI UI LU UI UJ UJ

o. c. r^. M) 94 4 4 CJ 94 in c- ro O' in ro ro o to 94 4 CJ O' 94 in o OO OO in 4 4 00 4 in O CM in CM 94 N- CT* 9*4 9-1 4

94 CO o CD o o M3 CJ t4 ro ro CM ro CD r*. O' O' t4 CD O' OO O' O' O' O' CJ M3 4 in in ro o 4 CM O ro ro CM in <o OO O' 00 O' O' O' O' OO O' CD o o CD o CM t4 94 C'J CM ro ro ro ro ro in N- OO in ro M) 94 uv in CO 4 ro ro cr 94 o 9-4 OO O' O' O' O' O' O' O' O' 94 94 94 94 94 CJ CJ CJ CJ C'J CJ ro ro ro ro ro vO in er> c- rv CM CVJ O CM O' ro CD ro ro OO C-. ro lO CD

ro ro ro ro ro ro ro ro 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 O* CJ M3 94 ro r>- 94 CJ ro 4 r^ 94 94 to r^ 94 ro lo 94

X y> 94 94 t4 9*4 94 94 94 eo OO OO OO 03 in in in in in in ro ro ro ro ro ro 4 4 eO CJ ro CD in ro 4 N. CM 94 M3 O' in ro. in CJ

O' cn a> O' O' O' O' O' 94 4 94 94 t4 4 4 4 4 4 4 N- c- c- Is. rs 4 t4 O' O' <30 tn 94 CM CJ M3 rs. CM cr OO cr 00 ro

CVJ CM CM CM CM CM CM CJ r^ N. t^ r- 9*4 94 94 94 94 t4 in in in in in M> ro O' ro N. o CM CVJ 4 in Is. rs 94 CM CM ro ro in M3 OO flO A 03 03 fiO OO eo OO OO OO GO OO O' O' cr O' O' O' O' cr O' cr O' vO cr 94 4 M3 O' 94 ro in c. O' 94 CO CD CVJ 4 vO eo o

O' O' O' O' O' O' cr O' O' O' O' O' O' O' <r O' O' cr O' O' O' cr cr O' ro ro 4 4 4 4 in in in in in M3 ro 4 4 4 4 4 in

o o CD o o o o o o o a o o o o o o o CD o O o o o 4 4 CO CM 4 4 4 CM O* ro CJ ro o o O o O o CD o o O o o o o CD o o o o o o o o o o o o o o o o 94 vO ^ O' O' in CJ CM eo in vD CM CM to CO i£> t'- cr 00 o o o CD o o o O CD CD o CD o o O CD CD CD o o o o o CD eo o o OO 4 <30 CJ' in lO vC in ro 94 O' CO in 4

o CD CD o CD o o CD 94 94 94 94 94 CM CM CM CJ CM CM ro ro ro ro to in CM eo ro O' 4 O' 4 O' 4 O' 4 4 CO ro eo to eo

ro ro ro ro ro fO ro ro ro ro ro ro ro ro ro to ro ro ro ro ro ro ro ro (X3 O' O' a CD 94 CM CM ro ro 4 CO O' cr CD CD 94 94 CM CM CM CM CM CM CM CM CJ CM CM CM CM CM CM CM CM CVJ CM CM CM CM CM CM 94 94 94 94 94 94 94 94 94 94 94 94 t4 Q O O CD O o CD O CD O o CD O CD O O O CD O CD CD O CD O O CD O o CD o O o CD CD CD o o o CD o o o o

CD O o CD o o O CD CD o o O CD CD CD o o CD O CD O o O O o CD o CD O o o CD O o o CD a o o o CD CD o

CD o o CD o CD o CD CD o o o O CD O o o O o O o o o a o O o o CD o o o o o o o o o o o O o o

94 94 94 94 94 yl 94 94 94 94 94 94 94 94 94 t4 94 94 yi 94 94 94 94 v4 o CD o CD O CD o o o o o o o o o o o o o

o> 94 94 94 94 t4 94 94 CVJ CVJ (M CJ CVi CD ro ro ro ro ro 94 4 4 4 4 rorororororororororororovDkOvfivOvOvD kO o O O o O O O O o o CD o o 94 o o o CD o 94 O o o o

eo O 94 <VJ ro 4- iJO fO CD 94 CM fO 4 CO o 94 CJ to 4 eo 94 CJ ro 4

94 94 94 94 94 94 CVJ 94 94 yi 94 94 94 94 94 94 94 94 t4 94 94

27
NF3

VAPOR

PRESSURES,

EPP

=

1.750

Table 1 Continued

a (SJ o 40 CVJ 00 J- in o H CO cn lO CNJ CM n. o in O' ro in o CO ro in o CD J- OO O' o J- ro

CT> N. fO o cO ni in o in iD U) eo N. id in CO vO ro O' J- vO rv. CVJ vD o <y* OO CM o o

(/) C3 O' 00 K in j- CJ t-4 o O' vO J- ro H O' CO \D in fO CVJ O' ri 00 vO in ro ro CJ vO J- J- J- UJ fO (\J CJ (\l nj (VJ CM rj nj H 'r, o o CD o o O O o fO J- ro ro to ro ro ro CM CM CM CM CM a a o o o C3 o o o o C3 CD O O O CJ o CJ a o o o o a O a o a o C3 C3 CO a CJ CJ CJ

1— o CJ a o o O O CJ o CJ o CJ o CJ 'H 4 ro ro CM CM CM CM CM .4 4 4p4 4

o o a o o o o CJ o o a o o CJ a o o CJ o a a o O O O CJ o O O es CJ O O O O o O

V 1 • 1 1 1 1 1 <> 4- 4> *• * f + 4 4 1 1 1 » 1 1 1 1 1 1 1 1 1 (A llJ UJ UJ UJ UJ UJ UJ UJ UJ UJ tu UJ UJ lU Ul UJ Ul UJ Ul UJ UJ Ui UJ UJ Ui UJ UJ Ul UJ UJ Ul Ul UJ Ul UJ UJ

Ql 40 «o 00 ro CD CJ J- in ro in CM S- u> O' in K CM in r^ sD o ro in N. «o 4 fs- .H o Iw K CM 00 CJ

CD fs. J- ro 4D .-1 J- r^ in CJV cr vO CM CT> r^ j- 4- o M er o O ro K 4 4 CM ro 4 OO o CM

CM fO J- tn N. CJv tH .-1 .4 CJ CM CM ro ro Jt in in iO <D O' •r^ IO CM in t4 ^4 ro 4 in 4 UD lO K r'.

1— cn r^ ro 4 in CM CM 4 V0 4 vO ro vO CM CM in y* O CM vO vO r^ O' lO ro in o r'. vO 00 O' in r«. CM z 4 ro CM -r-l tH o o (M ro in ro ^ o ro o CD CM vO vD N* eo CM (M in in vD in CM O' <rl CM OO ro CM a 1 CM ro ro 4 4 4 4 CM ro CM CM •H CM CM 4 in 4 vO in 1 1 1 1 1 ro CM ^4

O o O o o o w4 H ^4 CJ CM CM CM CJ CM IM CM (M ro to CM CM o O o t4 o o o o o o O O o o O o O o o o o o o o o o o o o o o o o o o o o o o O O

-J 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 1 1 1 1 1 1 1 1 4 4 4 4 4

UJ Ul UJ Ul Ul Ul Ul UJ Ul Ul Ul Ul Ul Ul Ul Ul Ul UJ UJ UJ UJ Ul UJ Ul Ul UJ UJ Ul Ul Ul Ul Ul Ul Ul Ul Ul o CJ O' CM o r^ r'- r^ 4 r«. O vO O r^ ro in to t". in tv. eo "Ti o r- CM 00 vd vd CM vd ro ro O

CM GO ro cn <o «o u> 4 CM UJ o CO CM r- vO lO uv o in vO in 00 in ro r'. vd CM eo ro CM ro

vO cn lO vO CJ O o ro o 4 OO ro O' ro n- in u> U) in 00 in rv. o o CJ 4 r«. 4 w4 ro

f'- vO O' in <£> CD 4 O' in ro CM ro r- CM O CM 4 r^ o eo CM t'- ro 4 in vO in in ro Cl 4 o vd O o

CM ro uv r^ CM ro 4 in iC <o CM CM ro ro 4 cn CM eo CM ro 4 in O' CJ'

O' O O o ra o ^4 'H »-4 CM CM CJ CJ CM CM CJ CM CM ro CM CM CM ^r4 o O o H

a O o o o O o o O O O O O o o o o o o o o o o CD o o o o o a O o o o O o

CD 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 1 1 1 1 • 1 t 1 4 4 4 4 4

Ul UJ Ul Ul Ul llJ Ul lU UJ Ul Ul Ul UJ Ul Ul Ul Ul Ul UJ Ul Ul Ul Ul Ul Ul Ul UJ UJ Ul Ul UJ UJ Ul UJ Ul UJ

<J> vd in o 4 cn 4 o O' n. ro vd Id CM 00 vd in CJ CJ n- in in rv. GO CJ' 4 O' CM in n. O cn O' in Id f«- o 00 CM IV- o OO vd cn OO ro 4 ro tv. H in O ro o 4 vd vd CO O' O' vd in ro vd O' ro vd r- eo 00 o

r«. o rv- IV. 4 o O O' 00 CJ o uv in Id CM o CVJ Id CJ ro o O' O' vd vd N. o in in in ro CM o ro

rv. r«- O' in Id o 4 O' in 4 ro vd o vd o CM in OO y* eo ro eo 4 CJ' o o in ro o 4 O' vd o o

CJ ro in N. CM ro 4 in r>. CO T-l CM CM ro ro 4 fO CJ' CM ro 4 in eo O' t4

X OO o in o n. ^ CO CM ro Id CJ T-l O' O' a 00 fv. eo fO IM OO o 4 4 N. K 4 4 CM ro Id vd eo ro rv. CM ro CO in O' yt in CM o rv. vd OO c* vd in ro to O O' ro N. in r>. (M in ro uv eo ro ro rv. in rv» tv. rv. cn

Id in fO <o vd vd rv. OO OO O' o ^ CM ro in vd eo 00 H CJ ro 4 yt 4 vd 4 in ^ o O eo CM in vd CJ 4 vd OO <T> yt ro in tv. cn 4 vd «o O (M 4 vd eo ro in r>. <T> 4 r^ cn CJ ro IC vd N. OO o ^

in in in in in id vd vd vd vd rv. fv. N. r^ eo oO eo eo 00 O' CJi O' O' ro ro ro 4 4 4 4 4 in vd vd vd vd

>1 o o o o o O o O o o O o o o o o O O o o o o o o O o e o o o o CD o e O O

9> in CD 4 n. vd n. vd cn iO ^ O' in Id in CM 4 in ro ro in o K in in in in in in in in in in cn eo rv. h~ vd cn o H C> rv. vd in ro ro CM O o o cn C7> 00 rv. eo vd rv. ro o in Id -H OO 4 ro o ro

ro N. yt vd o 4 OO ro OO ro OO ro eo ro eo ro OO ro CO CM tv. CJ CJV CM cn vd OO a in CM ro 4 4

CM CM ro ro 4 4 4 in in vd vd rv. r^ to 00 cn O' o o CM CM ro rv. OO O' cn o O o yt ro 4 4

yt yt CM CM CVJ CM CM CM yt yt yt t4 ^ w4

r- o o o o o CD o o o O o O CD C3 CD o a o o o o o CD o o o o o o o o o o o o o

3 o o o o o o o o o o o o o o o o o o o a o o CD o o o CD o o o o o CD CD o o

o o o o o o o o CD o o CD O o o o o o o CD o o O a CD o o o o o o o o o o o

o o a o o CD o o CD o o o o CD a o o o a O o o o o o o o o o o o o o o o o

II C3\0i0«i3K0«J3U}v0v0kC^v0v0^v0ki3vJ0i0v0v0l0i0v0i0OOoa

1—4 O O 0^ ri •H Z

28

54,

RMSPCT

s

.033
Densities of Saturated Liquid.

NF3 SATLIQUIO DENSITIES, EL = .333

(6)JARRY, (ll)SESHAORI, (900)N8S V/.P. , ISOCHORES/EQNSTATE.

TTRP = 66.350, TCRT = 234.000, DTRP = 26.320, OCRT = 7.920

.754377410 .027975083 0.000000000

ID WT T,K X MOL/L CALCO PCNT ODS/OT RESID

935 1.000 89.012 •86483 25.013 25.055 -.17 -.05718 .72962

934 1.000 105.189 .76833 24.124 24.112 .05 -.05942 .76116

933 1.000 123.055 .66177 23.022 23.025 -.01 -.06247 .75832

932 1.000 142.576 .54533 21.762 21.764 -.01 -.06699 .76180

931 1.000 158.678 .44928 20.651 20.645 • 03 -.07232 .76628

930 1.000 174.718 .35361 19.438 19.426 • 06 -.08021 .77042

929 1.000 184.904 .29285 18.555 18.574 -.10 -.08756 .76811

928 1.000 197.490 .21778 17.422 17.392 . 17 -. 10140 .77798

927 1.000 207.954 .15536 16.234 16.237 -.02 -.12116 .77569

926 1.000 215.559 •11000 . 15.216 15.228 -.08 -.14673 .77619

924 1.000 221.420 .07504 14.267 14.273 -. 04 -.18296 .77835

6 .020 78.040 .93027 25.619 25.675 -.22 -.05585 .68877

6 .020 79.090 .92401 25.549 25.616 -.26 -.05597 •68148

6 .020 79.430 .92198 25.520 25.597 -.30 -.05601 .67367

6 .020 81.670 .90862 25.380 25.471 -.36 -.05628 .67185

6 .020 87.220 .87551 25,070 25.157 -.35 -.05696 .69683

6 .020 87.650 .87295 24.999 25.133 -.53 -. 05701 .66781

6 .020 92.210 .84575 24.788 24.871 -.33 -.05760 .71039

6 . 020 94.260 .83352 24.619 24.753 -.54 -.05787 .68818

6 .020 97.000 .81718 24.506 24.594 -.36 -.05824 .71563

6 .020 99.4.40 . 80262 24.323 24.451 -.52 -.05858 .70129

6 .020 101.780 .78867 24.225 24.314 -.37 -.05692 .72060

6 .020 104.060 .77507 24. 056 24.179 -.51 -.05925 .70989

6 .020 109.900 .74023 23.704 23.831 -.53 -.06015 .71530

6 .020 114.780 . 71112 23.422 23.535 -.48 -.06096 .72397

6 .020 119.460 .68321 23.140 23.248 -.46 -.06179 .72885

6 .020 119.520 .68285 23.140 23.244 -.45 -.06180 .72991

6 .020 124.490 .65321 22.830 22.935 -.45 -.06275 .73275

6 .020 129.410 .62386 22.535 22.624 -.39 -.06377 .73897

6 .020 131.050 •61408 22.436 22.519 -.37 -.06413 .74114

6 .020 134.220 .59517 22.253 22.314 -.27 -.06485 .74715

6 . 020 135.340 .58849 22.168 22.241 -.33 -.06512 .74497

6 .020 139.150 .56576 21.943 21.992 -.22 -.06607 .75145

6 .020 139.930 .56111 21. 859 21.940 -.37 -.06627 .74490

6 .020 143.990 .53689 21.633 21.669 -.16 -.06738 .75540

6 .020 144.650 .53296 21.549 21.624 -.35 -.06757 .74775

6 .020 149.330 .50504 21.239 21.305 -.31 -.06899 .75111

6 .020 153.920 .47766 20.901 20.984 -.40 -.07054 .74930

6 .020 158.520 .45022 20.577 20.656 -.38 -.07226 .75156

6 .020 164.150 .41664 20.197 20.243 -.23 -.07464 .75873

6 .020 169.530 .38455 19.802 19.834 -.16 -.07727 .76238

ID WT T,K X MOL/L CALCO PCNT DOS/DT RESID

925 0.000 226.509 .04468 13 .227 13.197 .23 -.24950 .78591

923 0.000 230.872 •01866 11.986 11. 809 1.49 -. 42936 .82051

922 0.000 233.122 .00524 10.844 10.440 3.87 -.97199 .91258

915 0.000 233.662 •00202 10.188 9.746 4.53 -1.81660 .97532

11 0.000 170.000 .38175 19.646 19.798 -.77 -.07752 .74360

11 0.000 180.000 . 32210 18.762 18.993 -1.22 -.08372 .73510

11 0.000 190.000 .26245 17.794 18.116 -1.78 -.09234 .72567

11 0.000 200. 000 .20280 16. 750 17.133 -2.23 -.10519 .72029

11 0.000 205.000 .17298 16. 181 16.585 -2.43 -.11437 .71837

11 0.000 210.000 .14316 15.528 15.984 -2.85 -.12669 .71144

11 0.000 215.000 .11333 14. 815 15.309 -3.23 -.14427 .70531

11 0.000 220.000 .08351 14.065 14.525 -3.17 -.17188 .70830

11 0.000 225.000 .05368 13.123 13.553 -3.17 -.22328 .70811

11 0.000 230.000 . 02386 11.696 12.155 -3.78 -.36776 .68688

NP = 41, RMSPCT = .121

29
NF3

SATVAPOR

DENSITIES,

NF

=

3,

EG

=

.333,

EGX

=

2.00

(1DSESHAORI/VISWANETH/KULOORJ1970)

,(

4

3>TH

ERMALOOPS

VIA

NBS

NF3

VIRIAL

(300)

NBS

V.P.

,ISOCHORES/EQNSTATE.

TTRP

=

66.350,

TCRT

=

234.000,

DGAT

=

.

3361

18

5E-0

6,

DCRT

=

7.920

-.7109566941E+00

.

380 0

175233E+

0

0

.

162284

7586E+01

Table 3. Densities of Saturated Vapor.

1— vC \D in in J- J- n fO ro fO (VJ nj CM (M rj y-« O O o o o o fO nj CJ nj tH o o o

Q O o o O o o o o o o O o o O O o o O O a o C3 o o o o o o o o o o O o o O o o o o o o

V • 1 1 1 • 1 1 1 1 1 1 1 • 1 • t 1 1 1 1 • * + 4- + 1 1 1 1 1 1 • 1 1 1 1 » f +

(/> UJ UJ UJ UJ UJ UJ UJ UJ UJ UJ UJ UJ UJ lij UJ UJ UJ UJ UJ UJ UJ UJ UJ UJ UJ UJ UJ UJ UJ UJ UJ UJ UJ UJ UJ UJ Ul UJ UJ Ul Ul UJ o O' in in ro o N. O' fO (O \0 Ki t'. O' nj in o t*) f'. O' fO o OO CSJ fO vO N- nj u> a O' o O' o j- 00 CD O' o tVJ M N- ao \D o vO o CM fO ^J flD in .t lO o ro nj tO in C3 to O' in N. nj (VJ in lO w4 K J- tn CD N. O' u> O'

3- in «o m in <o (M fO H M j- in N. fO K- in •H nj J- <VJ K) in CO nj o in IM cD O' J- CM fO N. PJ PJ O' K CM N. CO iC O' O' in tJD in in J- \0 PJ o in j- CO J- O O' p PJ v£> CO M o CO OO CO O' ro (M lO O OO tO O' JO o p. P. cO .4 O' p ir4 p in 03 in Q p PJ vD o ro p 4 Q

in CO 'fH lO fO in in N. O' PJ o O' in O' Q CO U> ro O' OO u> p O' O in vO O CM ID O' vO fO rw ro \D U vD N. H O in <o ro in O' J- o cO o fO fvl PJ j- in p Pi p p CD ro OO vO in jf CM p 00 in 4 4 P

m J- CM r-l CO CO in fO CM a O' O' O' <D <o p*. p. P. p p p OO CO OO O' OO PJ O' H O O' OO p p p P P p CO

j- in • PJ

N-(M

1 1 O o o O' i»- cvj O' to M O in O' N- fO vO in lO PJ a P in p to O PI O O' ro in OO flO in P o jf PJ P

-i o o O' O' O' 1^ in o ni O' O' vC in N. Jp PJ p PJ CO \D CO in O' \D P .-4 p in <o ro OO ro O' PJ O' c o o O' O' O' O' O' O' CO vO j- pj CO K) K O CO in p- J- o p in o p p iC PJ to O in J- in O' ro 4- ro 4 J3 P

o o o O' O' O' O' O' O' O' O' O' O' CO CO p- K fO in K PJ K vO Jt p N- O' O' CO p PJ O' in O in PJ 00 4 O' ro in

•» M

o o O' O' O' O' O' O' O' O' O' O' O' O' O' O' O' CO N- p. cO >n in in Jf to ro O' O' O' O' O' OO <o CO p P 
 \D in in 4

t- ra ID in in ro in O' ro O P DJ p CM cO ro cO CM o O 4 O' O' p >n PJ OO CM in ro CD ro O' 00 1-i vO ro vO

CL O' CD O C3 OO 4 p P 4 in OO ro r^ O' OO 00 C3 in lO 4 o ro o PJ ro tO ca uO OO ^A o o o 03 in 4 in in o

X O' cr» o o o O' O' OO P U3 4 .4 CO fO p o 00 4 vO ro O' P P in .4 \D <0 U3 CM 4 vO CM CM 4 PJ flO O) 00 ro O' CD O o O O' O' O' O' O' O' O' CO OO p ro ID p PJ P vC PJ 4 00 OO O' flO P U) CD in vJ eo ro O' p ro O' ro vO p O' CD O o o O' O' O' O' O' O' O' CD O' O' O' O' OO p p vO vO in in 4 ro ro O' O' O' O' OO OO e r^ N» \D \0 kO in in 4

I- 4 'H ro 4 in in ro PJ 4 P O p O' OO o in ro in 4 ro PJ tJ 4 p O' P H P ro PJ p OO ro o

z

C3

Q. O o O o o o o o o O o o o CD o C9 O O o o ro CD 4 4 o in uD in ro r^ U) 00 in O' 00 00 P PJ 4 tH

1 1 1 1 1 1 1 1 1 1 1 rJ

t 1 PJ PJ1 1 ro 4 4 to PJ ro 1 1 ^

1

o 03 in in 4 •7 ro ro PJ PJ CM PJ .-1 o o PJ tH O CD o O tA 4 •r^ o O o CD o O o o O O O o o o o o O o o o o o O o o o o o O o o CD o O o o o O O O o O O

_l 1 I 1 I 1 « 1 1 • 1 1 1 1 1 1 1 •f 4r •f <* •f + 1 1 1 1 + + 4> *

ct ul Ui UJ Ul Ul Ui Ul UJ Ul Ul Ul UJ Ul UJ UJ UJ Ul Ul UJ Ul UJ UJ Ul UJ Ul Ul Ul Ul UJ Ul UJ Ul UJ UJ Ul Ul Ul Ul Ul Ul Ul UJ o O' >n PJ PJ 4 <o 4 4 ro 4 in p ro o 03 03 <s 4 O' O' o tH vO o 4 ro in ro ro ro vO 03 PJ 03 03 \C <jD \D 4 CD 4 CO vO o D- O' ro P 00 lO o p in o o 4 PJ CO o PJ ro O' ro 00 O in 03 PJ O' .-1 GO PJ CM O CM ro <X> P in PI PJ O' OO ro fO o in O' CO in in in D. o o O' p 4 p p PJ ro 4 4 in 00 in ro lO 4 in PJ 4 4 in in LD ro PJ CD ro 4 o ro ro U) PJ o vD 03 o in o 4 O' in o p OO O' O' ro Pi 03 CM vO 03 in CM in OO PJ p 4 in

ro vD PJ N- PJ in CM 4 P PJ ro 4 lO PJ in PJ ro ro 4 in in 4 •H ro <x> PJ ro m CD yA yA yA PJ PJ ro 4

-J 03 in in 4 4 ro ro CM PJ PJ PJ yA wA yA yA yA O o wA yA yA *1 PJ yA yA yA O O O O tJ yA yA tH yA o o o o O C3 o O o o O CD O CD o O O o O O O O o O CD O o o O O O O o o o o o O O O o o

_l • 1 1 1 1 a a a a a a a a a a a At A 4- * •a- A * 4> * a a a a * •f y A 4- 4> 4- * 4- y O Ul Ul Ul UJ UJ UJ UJ Ul Ul UJ III UJ UJ Ul Ul Ul Ul Ul Ul UJ Ul Ul UJ UJ Ul UJ llJ UJ Ul Ul UJ Ul Ul Ul Ul UJ Ul Ul Ul Ul Ul Ul

X. 4 o ro «3 PJ C3 p p «0 ID O' p p PI P P o O in CM O' 03 CO O' O in 4 ro 05 O' O' ro ro o in CM CO O CO m

4 PJ o ro P \0 CD o LD O CO 03 o in o o o 03 4 PJ 03 PJ «3 p 03 03 03 p O' PJ in vO o 03 P in OO 03 P in PJ PJ O' flO ro ro yA in o OO in in in P o o O' P 4 P 03 OO 03 O' PJ P O' 03 O' O' o 4 4 O' CO p in 4 fO o

ro CM CD ro ^ CD wA ro ro p Pi o 03 \0 o in o 4 O' in CD 03 P P CO ro PJ H 03 PJ <o O' (g> (M in CO PJ P 4 in ro 03 PJ p PJ in yA PJ 4 p PJ ro 4 03 PJ in yA CM ro ro 4 in in 4 H to 03 PJ ro in OO yA yA 4 PJ CM ro 4

Q CD o o o o o CD o o o o o o CD o ^ PJ in ro CM in ro 4 ro 03 ro o O CD CD CD o o o o O o o O o o

03 O CD o o o CD O o o o o o CD O O 03 O' in to in in O' OO in PJ o CD O O O o o o o o o o O o o

ro o o o o o o O o CD o o o O o CD O PI ro ro 4 4 4 00 yA o o a o O o o o o o o o o CD O

vO O in C3 in o in O o in o in O in O CD O' O) 4 <H to PJ \X> CD to ro o o o o O o o o o in o in o in o

03 p p «3 «3 O' O' o CD »-i PJ PJ ro ro 4 in p O' o yA PJ PJ to to ro PJ to 4 03 P CO O' o o yA PJ PJ ro yA yA wA yA PJ PI PI PJ PJ t\J PJ PI yA yA yA yA yA yA tJ pj PJ PJ PJ PJ PJ PJ

1- O CD o o o in ro O' 4 O' to 4 yA O o in PJ O' p P 4 r^ o o o o o o CD o o o o O CD o CD o o o o

z o o o o o o o rJ PJ in 00 to OO 0^ O 03 03 in in O' PJ in lO o a o o o o o o o o o O CD o O o o o o

o o o o o CD o o o CD o yA PJ ro ro in P OO OO O' O' O' o o o CD o o o o o o o O O o o o o o o

o o o o o o o CD o o o o o CD a CD CD O CD

O ro ro ro ro ro ro ro ro ro ro ro ro ro ro ro ro o 03 in CM ro O' r^ 03 P CD yA yA yA yA 4 4 yA yA t4 t4 t4 4

1-4 j- 4 4 4 tj- 4 o o O o O CD o o .4 yA ^^4 yA yA yA yA yA «4 •H O' O' O' cr O' <7' O' O' (T»

RMSPCT
Table 4. Second Virial Coefficients.

NF3 SECOND VIRIAL COEFFICIENTS, EV = 3.00

(40)NBS/RDG APRIL, 1979.

.49382731 -1.30972686 -.38983811

ID HT T,K X B(T) CALC DIF PCT

40 1.000 200.00 .855 -210.00 -1.663 -1.6 €3 -. 000 -. 02

40 1.000 220.00 .940 -173.00 -1.370 -1.368 -.002 -.13

40 1.000 240.00 1.026 -144.00 -1.140 -1.144 .004 .35

40 1.000 260.00 1.111 -122.00 -.966 -.969 .003 . 30

40 1.000 280.00 1.197 -105.00 -.832 -.828 -.003 -.40

40 1.000 300.00 1.282 -91.00 -.721 -.713 -.008 -1.12

40 1.000 320.00 1.368 -77.00 -.610 -.616 • 007 1.06

NP = 7, RMSPCT = .63

Table 5. Comparisons With P-p-T Data for NF^.

NF3 PVT DATA VS. EQNSTATE.

(l)NBS VIRIAL, (lOO*) NBS (1979) , (26) BURNS (1975) , ( 27) VANDERHAL L( 1 977 ) .

ID PN HT T,K MOL/L CALCO D,PCT P,BAR CALCD P.PCT

1 1 .839 160.000 .2000 • 2001 -.07 2.483 2.482 . 06

1 2 .690 170.000 • 2000 .2003 -.16 2.661 2.657 .15

1 3 • 610 180.000 .2000 .2005 -.23 2.837 2.831 .21

1 4 .567 190.000 • 2000 • 2005 -.27 3.012 3.004 .26

1 5 . 544 200.000 .2000 .2006 -.29 3.186 3.177 .28

1 6 .534 210.000 .2000 • 2006 -.30 3.359 3.350 .29

1 7 .532 220.000 .2000 .2006 -. 30 3.532 3.522 .29

1 8 .535 230.000 . 2000 . 2006 -. 30 3. 704 3.693 .29

1 9 .543 240.000 .2000 .2006 -.28 3.876 3.865 .28

1 10 .554 250.000 .2000 .2005 -.27 4.047 4.036 .26

1 11 • 568 260.000 .2000 .2005 -.25 4.218 4.207 .25

1 12 .584 270.000 .2000 . 200 5 -.23 4.388 4.378 .23

1 13 .601 280.000 • 2000 .2004 -.21 4.559 4.549 .21

1 14 .620 290.000 . 2000 .2004 -.19 4.729 4.720 .19

1 15 . 6 40 300.000 .2000 • 2003 -.17 4.899 4.891 .17

1 16 • 661 310.000 . 2000 . 200 3 -.16 5.069 5.0 61 .15

1 17 .683 320.000 . 2000 . 200 3 -.14 5.238 5.231 .13

NP II , DNRMSPCT = . 228, PMEANDIF = . 0 08, PMEANPCT s .210

31
Table 5 Continued

NF3 PVT DATA VS, EQNSTATE.

(l)NBS VIRIAL, C100+)NBS (1979) , (2 6) BURNS ( 1 975 ) * (27) VANDERWALL (1977)

ID PN WT T,K HOL/L CALCD D.PCT P,BAR CALCD P,PCT

601 18 . 745 200.000 .5500 .5508 -.14 8.119 8.109 .13

602 19 .717 220.000 .5491 .5499 -.16 9.117 9.104 .14

603 20 .755 240.000 .5480 .5487 -.13 10.094 10.082 .12

604 21 . 793 260.000 .5470 .5475 -. 09 11.059 11.049 .09

605 22 .846 280.000 .5460 .5463 -.05 12.012 12.006 .05

606 23 .920 300.000 .5449 .545 0 -. 01 12.955 12.954 .01

607 24 .959 320.000 .5438 .5437 .02 13.891 13.894 -.02

101 25 .689 200.000 1.0965 1.0948 . 15 14.276 14.292 -.11

102 26 .681 220.000 1.0944 1. 0931 . 12 16.476 16.492 -.09

103 27 .655 240.000 1.0922 1.0907 . 14 18.595 18.617 -.12

104 28 .610 260.000 1.0901 1.0880 ,19 20.660 20.695 -.17

105 29 .569 280.000 1.0879 1. 0852 . 25 22.686 22.737 -.23

106 30 .540 300.000 1.0856 1.0824 . 30 24.682 24.751 -.28

107 31 .532 320.000 1.0833 1. 0797 . 33 26.657 26.739 -.31

501 32 .791 220.000 1.4742 1.4737 .03 20,712 20,718 -.02

502 33 . 727 240.000 1.4712 1.4703 . 06 23.733 23.745 -.05

503 34 .662 260.000 1.4682 1.4663 . 13 26.654 26,682 -.11

504 35 .625 280.000 1.4651 1.4625 . 18 29.511 29.557 -.16

505 36 .593 300.000 1.4620 1.4585 .24 32, 314 32. 382 -.21

506 37 .578 320.000 1.4587 1.4547 . 27 35.077 35, 165 -.25

201 38 .786 220.000 1.9429 1.9422 . 04 24.944 24.950 -.02

202 39 .663 240.000 1.9388 1.9371 .09 29.187 29.205 -.06

203 40 .588 260.000 1.9346 1.9314 .17 33.252 33.295 -.13

204 41 .548 280.000 1.9303 1.9257 . 24 37,205 37, 277 -.19

205 42 .522 300.000 1.9260 1.9202 . 30 41.071 41.176 -.26

206 43 .513 320.000 1.9215 1.9150 . 34 44.873 45.008 -.30

301 44 .779 220.000 2.5761 2.5798 -. 14 29.113 29.093 .07

302 45 . 928 240.000 2.5702 2.5746 -.17 35.239 35.202 .10

303 46 .810 260.000 2.5643 2.5653 -.04 41.007 40,995 .03

304 47 .701 280.000 2.5582 2.5566 .06 46.579 46.601 -.05

305 48 .656 300.000 2.5521 2.5486 . 14 52.014 52.072 -.11

306 49 .646 320.000 2.5457 2.5411 . 18 57,345 57.434 -.15

901 50 .538 225.000 3.0616 3. 0744 -.42 33.244 33.189 .17

902 51 .610 230.000 3.0598 3.0717 -.39 35.186 35.125 .18

903 52 .752 240.000 3.0561 3. 0654 -.30 38.937 38.874 .16

904 53 .989 260.000 3.0488 3.0538 -.17 46.127 46.077 .11

905 54 .814 280.000 3.0413 3. 0423 -.03 53.039 53. 026 .02

906 55 .747 300.000 3.0336 3.0321 . 05 59.770 59.794 -.04

907 56 .732 320.000 3. 0258 3.0226 .10 66.361 66.418 -.09

701 57 . 315 230.000 3.6818 3, 720 7 1 • 0 37.918 37.787 .35

702 58 .407 240.000 3.6772 3.7072 -.81 42. 715 42. 562 .36

703 59 .526 260.000 3.6680 3.6881 -.55 51.843 51.676 .32

704 60 .622 280.000 3.6585 3.6721 -.37 60.600 60.444 ,26

705 61 .662 300.000 3.6487 3,6589 -.28 69.120 68,975 .21

706 62 .672 320.000 3.6388 3.6467 -. 22 77.453 77.317 .18

1602 63 .241 235.000 4.7629 4. 8418 -1.63 43.763 43.599 .37

1603 64 .259 240.000 4.7597 4.8329 -1.51 47.112 46. 895 .46

1604 65 . 355 260.000 4. 7468 4.7929 -.96 59.867 59,570 .50

32
Table 5 Conti nued

NF3 PVT DATA VS. EQNSTATE.

(DNSS VIRIAL, <100>)NBS(1979) t (26) BURNS (1975) , (27) VANOERWALL (1977 ) . ID PN WT T,K MOL/L CALCO D.PCT P,BAR CALCO P.PCT

1605 66 • 411 260.000 4.7336 4. 7673 -.71 72.099 71. 768 .46

1606 67 • 438 300.000 4.7200 4.7472 -.57 84.003 83.645 .43

1607 68 • 436 320.000 4.7062 4.7303 -.51 95.665 95.267 .42

1701 69 . 174 235.000 5.7980 5.9458 -2.49 45.213 45.093 .27

1702 70 • 214 240.000 5.7940 5.9102 -1.97 49.522 49.3 20 .41

1703 71 .285 250.000 5.7858 5.8636 -1.33 57.839 57.561 • 48

1704 72 .332 260.000 5.7774 5.8374 -1. 03 65.955 65.631 .49

1705 73 . 377 260.000 5.7603 5. 8048 -.77 81.823 81.418 .50

1706 74 • 365 300.000 5.7427 5.7812 -.67 97.339 96.845 .51

1707 75 .376 320.000 5.7249 5.7611 -. 63 112.575 111.976 .53

1006 76 • 183 235.000 5.8266 5.9673 -2.36 45.229 45.118 .25

1007 77 .189 236.000 5.8256 5.9627 -2. 30 46.111 45.978 .29

1006 78 • 196 237.000 5.6250 5.9545 -2.18 46.982 46.832 .32

1009 79 .206 238.000 5.8242 5.9480 -2. 08 47.849 47.682 .35

1010 80 • 223 240.000 5.8225 5.9343 -1.88 49.562 49.371 .39

1601 61 .095 235.000 6.7709 7.1222 -4.93 45.705 45.617 .19

1602 82 • 224 240.000 6.7660 6.8920 -1. 83 50.886 50. 734 • 30

1603 83 .362 250.000 6.7561 6.6189 -.92 60.986 60.787 .33

1604 64 .429 260.000 6.7459 6.7913 -.67 70.930 70.696 .33

1805 85 .448 280.000 6.7248 6.7615 -.54 90.535 90.196 .38

1806 86 • 424 300.000 6.7032 6. 7391 -.53 109.823 109.342 .44

1807 87 • 396 320.000 6.6816 6.7185 -.55 128.827 128.179 .51

1106 88 . 093 235.000 7.0723 7.4403 -4.95 45.767 45.694 .16

1107 89 . 145 236.000 7.0713 7.2935 -3. 05 46.867 46.781 .18

1108 90 .189 237.000 7.0702 7.2334 -2.26 47.957 47.863 .20

1109 91 .227 238.000 7.0692 7.1989 - 1.80 49.042 48.942 .20

1110 92 .289 240.000 7.0672 7.1614 -1.32 51.200 51.092 .21

1901 93 .226 235.000 7.6341 7.9658 -1.65 45.860 45.837 .05

1902 94 .468 240.003 7.8284 7.7900 .49 51.924 51.969 -.09

19 0 3 95 .450 250.000 7.8165 7.7787 .49 64.054 64.180 -.20

1904 96 .518 260.000 7.8041 7.7772 . 35 76.170 76.320 -.20

1905 97 .792 280.000 7.7783 7.7718 . 08 100. 313 10G.380 -.07

1906 98 .807 300.000 7.7521 7.7589 -.09 124.237 124.135 . 08

19 0 7 99 .616 320.000 7.7265 7.7424 -.21 147.908 147.591 .21

1206 100 .333 235.000 8.1094 8.0267 1.03 45.871 45.886 -.03

1207 101 . 255 236.000 8.1082 7.9928 1.44 47.124 47.168 -.09

1206 102 .234 237.000 8.1070 7.9810 1.58 48.377 48.450 -.15

1209 103 .230 238.000 8.1058 7.9784 1.60 49.633 49.732 -.20

1210 104 • 240 240.000 8.1034 7.9861 1.47 52.156 52.298 -.27

812 105 .405 235.000 8.1178 8.0553 . 78 45.877 45.888 -.02

813 106 .247 240.000 8.1119 7.9984 1.42 52.171 52.308 -.26

814 107 • 300 250.000 8.0995 8.0208 .98 64.869 65.139 -.41

815 108 .371 260.000 6.0865 8.0328 .67 77.616 77.926 -.40

20 01 109 .116 235.000 8.8533 8.5174 3.94 45.964 46.036 -.16

2002 110 .135 240.000 8.8467 8.5847 3. 05 52.900 53.250 - . 66

2003 111 .185 250.000 8.8328 8.6693 1.89 67.181 67.802 -.92

2004 112 .235 260.000 8.8181 8.7049 1. 30 81.664 82.387 -.88

2005 113 .348 280.000 8. 7874 8.7271 .69 110.761 111.471 -.64

33
Table 5 Continued

NF3 PVT DATA VS. EQNSTATE.

(l)NBS VIRIAL, (100+) NBS (1979) , (26) BURNS (1975) , ( 27 ) VANDERWALL ( 1 977 )

.

ID PN MT T,K MOL/L CALCO D,PCT P,BAR CALCD P,PCT

2006 114 .492 300.000 8.7566 8.7250 . 36 139. 781 140.328 -.39

2007 115 .659 320.000 8.7274 8.7123 .17 168.575 168.922 -.21

1306 116 .075 235.000 9.1988 8.6529 6. 31 45.991 46. 131 -.30

1307 117 .085 236.000 9.1974 8.7270 5.39 47.415 47.642 -.48

1308 118 . 094 237. 000 9.1961 8.7763 4.78 48.861 49.162 -.61

1309 119 .101 238.000 9.1947 8.8138 4.32 50.322 50.687 -.72

1310 120 . 115 240.000 9.1919 8.8683 3.65 53.280 53.748 -.87

2101 121 .093 235.000 9.8670 9.4001 4.97 46.201 46.433 -.50

2102 122 . 113 240.000 9.8594 9.5120 3.65 54.265 54.911 -1.18

2103 123 . 154 250.000 9.8431 9.6230 2.29 71.122 72.176 -1.46

2104 124 .185 260.000 9.8257 9.6618 1. 70 88.303 89.590 -1.44

2105 125 .254 280.000 9.7896 9.6893 1.04 123.064 124.487 -1.14

2106 126 .320 300.000 9.7545 9.6867 . 70 157.853 159.254 -.88

2107 127 .378 320.000 9.7225 9.6734 .51 192.477 193.815 -.69

1406 128 .102 235.000 10 .1860 9.7594 4. 37 46.369 46.677 -.66

1407 129 .107 236.000 10.1845 9. 7836 4.10 48.040 48.445 -.84

1408 130 .109 237.000 10.1629 9.7948 3.96 49.721 50.225 -1.00

1409 131 .113 236.000 10.1813 9.8158 3.72 51.431 52.013 -1.12

1410 132 .122 240.000 10 .1781 9.8517 3. 31 54.895 55.611 -1.29

2201 133 .169 235.000 10.6444 10.6010 2.30 47.155 47.551 -.83

2202 134 .178 240.000 10.8355 10.6192 2. 0 4 56.817 57.540 -1.26

2203 135 .221 250.000 10.8162 10.6657 1.41 76.900 77.940 -1.33

2204 136 .276 260.000 10.7956 10.6884 1.00 97.443 98.578 -1.15

2205 137 .392 280.000 10.7536 10.6942 .55 138.974 140.049 -.77

2206 138 .507 300.000 10.7147 10.6801 . 32 180.597 181.489 -.49

2207 139 .600 320.000 10.6808 10.6598 .20 222.095 222.798 -.32

2302 140 .342 235.000 11.9859 11.8964 .75 50.886 51.342 -.89

2303 141 . 36 0 240.000 11.9749 11.8913 . 70 62.985 63.600 -.97

2304 142 .441 250.000 11.9512 11.8898 . 52 87.811 88.542 -.83

2305 143 .538 260.000 11.9263 11.8829 .37 113.040 113.755 -.63

2306 144 .702 260.000 11.8777 11.8556 .19 163.880 1 64 . 45 0 -.35

2307 145 .772 300.000 11. 8362 11.8235 . 11 214.798 215.240 -.21

2308 146 .7 42 320.000 11.8013 11.7915 . 08 265.560 265.998 -.16

2502 147 .861 230.000 13.2274 13.2148 .10 46.808 46.937 -.27

2503 148 .917 235.000 13.2141 13.2039 .08 62.040 62.176 -.22

2504 149 .758 240.000 13.2000 13.1949 .04 77.517 77.600 -.11

2505 150 .653 250.000 13.1701 13.1721 • 0 1 108.794 108.752 .04

2506 151 .625 260.000 13.1402 13.1466 -.05 140.289 140.109 .13

25 07 152 .666 280.000 13.0874 13.0953 -. 06 203.455 203.144 .15

2508 153 .886 300.000 13.0455 13.0487 -.02 266.595 266. 433 .06

2401 154 .510 225.000 14.2667 14.2796 -.09 44.567 44.336 .52

2402 155 .424 230.000 14.2510 14.2709 -. 14 63.201 62.767 .69

2403 156 .408 240.000 14.2166 14.2412 -.17 100.744 100.030 .71

2404 157 . 417 250.000 14.1813 14.2081 -. 19 138.506 137.541 .70

2405 158 • 45 0 260.000 14.1490 14. 1746 -.18 176.323 175.220 .63

2406 159 .503 270.000 14.1209 14.1434 -. 16 214.187 213.061 .53

2407 160 .590 280.000 14.0968 14.1141 -.12 252.025 251.038 .39

2406 161 . 720 290.000 14.0755 14.0868 -. 08 289.818 289.095 .25

34
Table 5 Conti nued

NF3 PVT DATA VS» EaNSTATE.

(lINBS VIRIAL, (100+) NBS (1979) # (26) BURNS (1975 ) , (27) VANDERWALL(1977)

ID PN HT T,K MOL/L CALCD D.PCT P,BAR CALCD P.PCT

2602 162 • 488 220.000 15.2155 15.2259 -. 07 45.983 45.683 .66

2603 163 • 405 225.000 15.1969 15.2152 -.12 68.294 67.680 .91

2604 164 • 402 230.000 15.1770 15.1981 -.14 90.556 89.757 .89

2605 165 • 412 240.000 15.1362 15.1606 -.16 135.155 134.019 .85

2606 166 • 454 250.000 15. 0989 15.1223 -.15 179.742 178.462 .72

2607 167 • 530 260.000 15.0677 15.0869 -.13 224.367 223.158 .54

2606 168 • 664 270.000 15. 0415 15.0541 -. 08 268.965 268.074 .33

2609 169 • 914 280.000 15.0187 15.0230 -.03 313.449 313.116 .11

2701 170 • 856 210.000 16.2335 16.2337 -.00 31.606 31.599 .02

2702 171 • 469 215.000 16.2127 16.2222 -. 06 58.512 58.060 .78

2703 172 .500 215.000 16.2127 16.2209 -. 05 58.448 58.062 .66

2704 173 • 443 220.000 16.1898 16.2035 -.08 85.232 84.510 .85

2705 174 .438 225. 000 16.1658 16.1825 -. 10 111.886 110. 924 .87

2706 175 .453 230.000 16.1421 16.1600 -.11 138.448 137.330 • 81

2707 176 .514 240.000 16.1000 16.1168 -.10 191.559 190.338 • 64

2708 177 • 640 250.000 16.0663 16.0781 -.07 244.729 243. 756 .40

2709 178 • 916 260.000 16.0387 16.0422 -. 02 297.816 297.496 .11

2801 179 • 130 200.000 17.4218 17.3894 .19 31.480 33.640 -6.42

2802 160 .670 205.000 17.3954 17.3901 .03 66.075 66.459 -.58

28 0 3 181 .953 210.000 17.3670 17.3662 . 00 99.016 99.081 -.06

2604 182 .824 215.000 17.3383 17.3399 -.01 131.690 131.554 ‘.10

2805 183 .831 220.000 17.3115 17.3136 -.01 164.255 164.056 .12

2806 184 .863 225.000 17.2878 17.2896 -. 01 196.897 196.720 .09

2807 185 .973 230.000 17.2674 17.2671 • 00 229.561 229.587 -.01

2608 166 .801 235.000 17.2496 17.2459 . 02 262.222 262.634 -.16

2809 187 • 664 240.000 17.2338 17.2255 .05 294.843 295.812 -.33

2901 188 .453 190.000 18.5460 18.5400 .03 49.777 50.391 -1.22

2902 169 .733 194.000 18.5200 18.5171 • 02 82.053 82.376 -.39

2903 190 .962 200.000 18.4766 18.4790 -. 00 129.824 129.807 • 0

2904 191 .907 205.000 18.4471 18.4484 -.01 169.481 169.320 .10

2905 192 .992 210.000 18.4200 18.4207 -.00 209.251 209.169 .04

2906 193 . 834 215.000 18,3975 18.3956 .01 249.137 249.407 -.11

2907 194 .681 220.000 18.3784 18.3724 . 03 289.058 289.938 -.30

3001 195 • 118 176.000 19.4260 19.4168 . 06 17.750 19.171 -7.41

3002 196 .339 180.000 19.4013 19.3933 .04 55.751 56.830 -1.90

3003 197 .567 184.000 19. 3709 19. 3661 .02 93.066 93.743 -.72

3004 198 .720 188.000 19.3395 19.3364 . 02 129.796 130.245 -.34

3005 199 .603 192.000 19.3107 19.3046 .03 165.910 166.845 -.56

3006 200 .627 196.000 19.2854 19.2794 • 03 202.775 203.742 -.47

3007 231 .596 200.000 19.2642 19.2567 . 04 239.813 241.067 -.52

3006 202 • 603 205.000 19.2418 19.2341 . 04 286.807 288.164 -.47

3101 203 .113 160.000 20.6409 20.6327 • 04 17.679 19.162 -7.74

3102 204 .375 164.000 20.6080 20.6025 .03 64.347 65.395 -1.60

3103 205 .543 168.000 20.5707 20.5665 .02 109.477 110. 323 -.77

3104 206 • 646 172.000 20.5342 20.5307 .02 154.178 154.894 - . 46

3105 207 . 691 176.000 20.5028 20.4995 .02 199.376 200.065 -.34

3106 208 .637 180.000 20.4773 20.4725 .02 245.058 246.126 -.43

3107 209 .556 164.000 20.4564 20.4486 .04 291.075 292.877 -.62

3201 210 .222 144.000 21.7506 21.7477 .01 20.326 21.059 -3.48

3202 211 .524 148.000 21.7109 21.7083 .01 75.762 76.421 -.86

35
Table 5 Continued

NF3 PVT DATA VS. EQNSTATE.

(l»NBS VIRIAL, (lOOt)NBS (1979) , (26) BURNS ( 1975 ) t (27) VANDERWALL( 1977)

ID PN HT T,K MOL/L CALCO 0,PCT P,BAR CALCD P,PCT

3203 212 .772 152.000 21.6664 21.6652 .01 129.502 129.818 -.24

3204 213 .777 156.000 21.6295 21.6280 . 01 184.095 184.495 -.22

3205 214 .796 160.000 21.5942 21.5928 .01 238.550 238.958 -.17

3206 215 . 637 164.000 21.5692 21.5648 .02 294.473 295.777 - • 44

3301 216 .282 124.000 23.0104 23.0115 -.00 15.792 15.402 2.53

3302 217 . 646 128.000 22.9620 22.9633 -.01 83.605 83.156 .54

3303 218 .659 130.000 22.9351 22.9368 -.01 116.223 115.629 .51

3304 219 .654 132.000 22.9090 22.9112 -. 01 148.828 148.048 .53

3305 220 • 640 134.000 22.8853 22.8881 -. 01 182.078 181.060 .56

3306 221 .688 136.000 22.8649 22.8675 -.01 215.960 214.971 .46

3307 222 .798 138.000 22.8474 22.8492 -.01 250.446 249.765 .27

3308 223 .997 140.000 22.8323 22.8326 -.00 285.347 285.241 .04

3401 224 .439 108.000 24.0635 24.0620 .01 52.250 52.943 -1. 31

3402 225 .554 110.000 24.0333 24.0316 . 01 91.280 92.041 -.83

3403 226 .782 112.000 24.0018 24.0010 .00 129.716 130.110 -.30

3404 227 .946 114.000 23.9724 23.9725 -.00 168.714 168.663 .03

3405 228 .822 116.000 23.9470 23.9478 -. 00 209.069 208.673 .19

3406 229 . 895 118.000 23.9259 23.9264 -. 00 250.608 250.359 .10

3407 230 . 882 120.000 23.9081 23.9073 .00 292.951 293.350 -.14

3501 231 .174 90.000 25.0381 25.0362 .01 21.866 22.976 -4.83

3502 232 .418 92.000 25.0055 25.0038 .01 68.766 69.788 -1.47

3503 233 .930 94.000 24.9696 24.9693 .00 113.787 113.964 -.16

3504 234 .566 96.000 24.9344 24.9361 -. 01 158.957 157.891 .68

3505 235 .502 98.000 24.9040 24.9070 -. 01 205.933 204. 107 .89

3506 236 .515 100.000 24.8793 24.8827 -. 01 255.263 253.125 • 84

3507 237 .600 102.000 24.8589 24.8617 -. 01 306.123 304. 360 .58

NP = 220 « DNRMSPCT = . 721, PMEANDIF = .405, PMEANPCT = .372

36
Table 5 Continued

NF3 PVT DATft VS. EQNSTATE.

(l)NBS VIRIALf (100+)NBS (1979) , (26) BURNS( 1975) ( 2 7) V ANOERM ALL ( 19 77 )

ID PN WT T,K MOL/L CALCO D,PCT P,8AR CALCO P,PCT

26 238 1.000 273.150 1.0663 1.0567 .90 21.464 21.637 -.80

26 239 1.000 282.150 1.0663 1.0470 1.84 22.180 22.548 -1.63

26 240 1.000 299.150 1.0663 1.0407 2.46 23. 725 24.260 -2.21

26 241 1.000 319. 350 1.0663 1.0414 2.39 25.710 26.282 -2.18

27 242 1.000 273.150 1.6887 1.6983 -.56 32.336 32.185 .47

27 243 1.000 294.250 1.6887 1.6735 .91 35.508 35.788 -.78

27 244 1.000 321.150 1.6887 1.6861 . 16 40.265 40.322 -.14

27 245 1.000 344.150 1.6887 1.6730 .94 43.782 44.160 -.86

26 246 1.000 273.150 2.3661 2.4174 -2.12 42.810 42.117 1.64

26 247 1.000 282.650 2.3661 2. 3609 . 22 44.471 44.549 -.18

26 248 1.000 300.250 2.3661 2.3505 .67 48.739 49. 007 -.55

26 249 1.000 319.350 2.3661 2.3381 1. 20 53.241 53.789 -1.02

27 250 1.000 273.150 2.9651 2.9802 -.51 49.918 49.738 .36

27 251 1.000 295.150 2.9651 2.9540 . 37 56.951 57.117 -.29

27 252 1.000 324.650 2.9651 2.9825 -.58 67.155 66.825 .49

27 253 1.000 344.250 2.9651 2.9412 . 81 72.671 73.188 -.71

26 254 1.000 273.150 3.3225 3.4557 -3.86 55.296 53.841 2.70

26 255 1.000 284.150 3.3225 3.3846 -1.84 58.895 58.111 1.35

26 256 1.000 298.950 3. 3225 3.3660 -1.29 64.432 63.790 1.01

26 257 1.000 319.150 3.3225 3.3291 -.20 71.561 71.444 .16

27 258 1.000 273.150 3.7558 3.7997 -1.16 58.881 58.436 .76

27 259 1.000 292.850 3.7558 3.7433 .33 67.155 67.319 -.24

27 260 1.000 324.250 3.7558 3. 7414 . 38 80.944 81.200 -.31

27 261 1.000 273.150 4.3876 4.5272 -3.08 65.776 64.516 1.95

27 262 1.000 292.150 4. 3876 4.4829 -2.13 76.118 74. 961 1.54

27 263 1.000 323.950 4.3876 4.4595 -1.61 93.355 92.116 1.35

27 264 1.000 344.150 4.3876 4.4287 -.93 103.697 102.858 .82

27 265 1.000 273.150 4.4712 4.5272 -1.24 65.776 65.273 .77

27 266 1.000 295.150 4.4712 4.4098 1. 39 76.877 77.650 -1.00

27 267 1.000 323.550 4.4712 4.4361 .79 92.734 93.336 - . 64

27 268 1.000 344.150 4.4712 4.4051 1.50 103.215 104.565 -1.29

27 269 1.000 273.150 6.3442 6.3954 -.80 80.944 80.548 .49

27 270 1.000 291.550 6.3442 6.2783 1. 05 96.320 97.068 -.77

27 271 1.000 318.650 6.3442 6.2899 . 86 120.245 121.155 -.75

27 272 1.000 344.250 6.3442 6.2833 .97 142.377 143.709 -.93

27 273 1.000 326.150 6.5508 6. 3920 2.48 128.656 131.590 -2.23

27 274 1. 000 344.250 6.5508 6.4277 1.91 145.548 148.283 -1.84

27 275 1.000 273.150 8.8026 8.8078 -.06 101.629 101.576 .05

27 276 1.000 292.450 8.8026 8.6875 1. 33 128.242 129.993 -1.35

27 277 1.000 310.150 8.8026 8.7168 .98 154.374 156.112 -1.11

27 278 1. 000 316.650 8.8026 8.6951 1.24 163.337 165.710 -1.43

27 279 1.000 344.250 8.8026 8.6630 1.61 202.292 206.473 -2.02

27 280 1.000 273. 150 11.6398 11.5100 1.13 138.929 141.562 -1.86

27 281 1.000 283.450 11.6398 11.4328 1.81 162.027 167.130 -3.05

27 282 1.000 288.150 11 .6398 11.4069 2.04 172.645 178. 855 -3.47

27 283 1.000 293. 150 11.6398 11.3728 2.35 183.676 191.364 -4.02

NP s 1^6, DNRMSPCT = 1. 515, PMEANOIF = 1.254, PMEANPCT = 1.208

NP = 237, DNRMSPCT = . 693, PMEANDIF = . 372, PMEANPCT = .358

37
Table 6. Coefficients of the Equation of State.

EQUATION OF STATE, COEFFICIENTS

DGAT = .336118520E-06, TBLP s 144.0935

DGBP = .878210055E-01, DL8P = 21.6617

OTRP = 26.3200, TTRP = 66. 350, PTRP = .185425421E-05

DCRT = 7.9200, TCRT = 234. 800, PCRT = 44.607130324

DPS/DTB = .70882E- 01, QVAPB ,KJ/MOL = 11.583

IX = 1, ER = 0. ]00

AL = 1. 0000000, BE > 0.0000000, GA ~ 1. 0000000

OE = . 5000000, EP = 1.0000000

B1 = . 55199813920 , B2 — . 13268809584, 93 = . 20608495

Cl = . 74067409894 , C2 — • 29375371520, C3 = 0. 00000000

HOL/L TSAT THETA PSAT B c

1. 0 194.018 183.967 12.719 .5720 -.59895

2.0 212.116 205.168 23.561 .5986 -.47316

3.0 221.972 217.769 31.741 .6318 -.36236

4, 0 227. 832 225.639 37.549 .6716 -.26555

5, 0 231.310 230.387 41.392 .7179 -.18161

6. 0 233.188 232.923 43.610 .7708 -.10947

7.0 233.913 233.884 44.499 .8303 -.04801

8.0 234. 000 234.000 44.607 . 8963 .00382

9.0 233.930 233.882 44.520 .9689 .04703

10.0 233.503 233.166 43.994 1.0481 •08259

11.0 232.416 231.328 42.685 1.1338 .11139

12.0 230.408 227.910 40.364 1.2261 .13425

13.0 227.273 222.540 36.961 1.3250 .15193

14. 0 222.861 214.963 32.572 1.4305 . 16513

15.0 217.076 205.054 27.447 1.5425 .17447

16.0 209.872 192.632 21.943 1. 6611 .18052

17. 0 201.249 178.461 16.476 1. 7863 .18377

18.0 191.243 162.249 11.458 1.9181 .18467

19.0 179.919 144.626 7.236 2.0564 .18362

20.0 167.370 126.120 4.030 2.2013 .18098

21.0 153.700 107. 316 1.894 2.3527 .17704

22. 0 139.023 88.815 .70 0 2.5107 .17207

23.0 123.448 71.189 .182 2. 6753 .16630

24.0 107.074 54.932 .027 2. 8465 .15993

25.0 89.971 40.432 .002 3.0242 .15313

26. 0 72.183 27.952 .000 3.2086 .14605

38
I

I

I

1

I TABLE 7. Calculated P(p) Critical Isotherm

The following page gives a high-resolution examination of the critical

isotherm as computed by equation of state (6). Column headings have the

following interpretations--

D/DC

TS/TC

PS/PC

P/PC

DP/DR

d/d(., density reduced at the critical point.

To(p)/Tc> reduced coexistence temperature.

Pg(p)/Pc» reduced coexistence pressure.

P/P(.» pressure reduced at the critical point.

3P/3p slope of the critical isotherm, bar.

The last five columns give the density-dependence of functions used in the

equation of state, where R = p

e d/d^ is density reduced at the liquid triple

poi nt--

DTS/DR E dTo(p)/dp, K. DTH/DR E d (p)/dp, K. DPS/DR E dP(j(p)/dp, bar.

DXB/DR E 3 (p,T)/3p.

DXC/DR E 3 (p,T)/3p.

^Note: p d/d^, density reduced at the liquid triple-point

,

39
THE

CRITICAL

ISOTHERM

Table 7 Calculated P(p) Critical Isotherm

ct O o <o in O' to Ifs N. (Vi t'- in N. to tH 00 o o O N. in O' ^ (D O' H (M «H CO (O (M in fO in (Vi (Vi vO a N. to rj •j- C3 O fO t-4 fVJ h- O N> O' 4- in o n- CVJ o 4 to 4 0> CM in o «o flO o in t-4 O' OO O' tH ITS o vO X to in CO j- oo (VJ \0 t4 <-( 4* o N. lf\ ro M o o o o o w4 to 4- vo O' »£> O' 4- n- 4 4- oo o 00 N. vC <S) m J- * tn r*o fNj o o o o o o o o o o o o o O O o tH nj (VI CM to to to 4- X o o o O o o O o o o o a o o o o o o o o o o o o o o o o o o CD O O O o o O CD CP o o

o 1 1 1 1 1 1 • 1 1 1 1 1 1 1 1 1 1 1 1 1

o' (O (T' vD CO 4* 4- 00 iD CO to (M m o 00 <x> o 4 vO 4 o CM OO in 4 4 N. in o CD vD O' n- CM CM oo cr> N- o O in o CM N- fO H CD to >T) >rH K in 4 4- vO CO (M 00 4 o o o o CM 4 N- o 4 O' 4 O' in CM O CO (O in in iO N. oo V 4* ^ O' in ro T-i O' 00 vD in 4- hO CM t4 T-i o o o o o CD o CD CD CD t4 T-< (\t CM fO 4 in in N. 00 O' O

CO CM (\J H t4 ^ CP CD O CD o O o CD O o o CD o o CD o O o o O o o o CP o o o o o O O o tH X O CD CP O O O CD CD CD O O o O CP O CP o o CD o o CD CP o CP o O o o o O CP o O CP CP O CP CD o CP

1 1 1 1 i 1 1 1 1 1 1 1 1 1 1 t 1 1 1 1 1

0^ CO cr* n- rH lO ro CO in O' CM O' fO X CM 4 CM ro 4 in tH O (O CD o CO T-I oo oo X in lx- o a 4 CM oo 4 4 0> o CM CM 4 O' in ro »jD CM H X CO in CM 00 ^ O' ro t- OO CD (O xO O' kO O tH ro CO in 4 4 vO (T U3 4 OO 4 OO a>

cn V O' oO in o lD to CP X in ro CP X to X OO 00 t'. T-I CD in CM (VI O' (O T-I ro CM O' to 4 CM CP ro ro o ro 4 th in

CP 10 ro fO O' oo CM o tH X X eo o in 4 iO ro CM 4 T^ CD o CM X (VI •H tH CM in a> lD 4 4 \0 cn 4 T^ m cn T-I 4

in CL o to vO cn fO CO to CO fO O' kO CM o X in ro (Vi O CP CD o O o H (Vi ro 4 in kO CO o CM 4 lO cr (VI 4 X tH 4

a

CM

• 7 6 in 4- to CM CM 'H 1 1 1 1 1 1 1 1 t 1 1

T-I

t

t-H

1 tH

1 'H1 CM1 CM1

tvj

1 ro

1 ro1

II QC 4 to ro X CO a> fO CP CM O flO CP vO 4 in 4 O o o CM T-I ro ro O' O' ro oO 4 N. in oo in ro CP CM vO O' o in o CM CP CM tH O O' eo 4- 4 4 O' in (T h- O' O' T-I o (Vi oo 4 in oo to O' fx- X K O' O' vD 4 CM o fx- ro eo

»- V OO in CM O' O' in O CO 00 O' ro vO H O 4 vC 4 o O' vO o eo O' K T-I eo 00 T“l 00 O' nj OO t'- O' ro tH O X (VI (O 4 in <r^ CM vD in K 4 in o to o •H (O 4 in tH o o ro CP X eo T-I vO 4 ro in o (0 in o <0 4 in CO ro V 1- in o fO X in O in ^ X 4 eo lO 4 CM T^ o O o CP o T-I T-I CM 4 in t'- (T T-I 4 vD O' CM <0 O' to X T-I kO

CL o

a 03 vO m 4 4- ro to CM CM 1 1 1 1 1 1 1 1 1 T-I T-I 1 2 CM (VI ro ro 4 4

O'

1 1 1 1 1 1 1 1 1 1 1

CP or X X lD CP CP to vO 4 lD CM o 4 00 vO <o O' OO in O' o in CP in cn vD O' OO CM C7' CO oo in OO (D OO ro eo o >0 ro

in o X H> ro OO O' vO CP lO to X CM CM O UO CM CP ro 4 CP in CVJ in a in 03 CP T^ O' vO 4 O' T-I CD N. CD X o 4* X O' lO in m oo 4 fo in <T* in 4 4 sO 00 o in lo ro 00 cn o 4 oo oo 4 ro (T> o 4 T-I ro O' OO ro CM vO in X CM CM

CM to vD 00 ho CM X in vO O oo a> ro O CD 4 O' oo o ro o o o in o X 4 4 4 lO O' ro X vO vO N- O 4 O X

• 1— ^JD a in o in o vO (VI O' in (M CD 00 vO 4 CM •H CD o o o o o tH t^ CM to 4 in lO oO O' ^ to in X o (VI in X

D

II in in 4 4 ro ro CM CM w4 • 1 1 1 1 1 1 1 1 I 1 1 T-I T^1 rl

1

T-I

1

(VI

1 CM

• CM1 CM

H*O rtr <T» 4* to r«o vO 4 CM N. O 4 UD eo ro O >rH in 4 CD o in o CM to o 4 ro tH 4 4 oO vO CM CM CM 4 in 4 X ro V o O CO 4 to (0 tD 4 o O' in in O' vD 4 (O v£) X in o O' o tH O CM ro fO o o lO UQ O 4 to CM (0 (M 4

to X o to «o O' CM vD in U3 ro <o 4 CVJ in <x> X o o o X O' m CM O in CM TP^ 4 O' ro CP X (VJ vO t0 CO o O'

0. CL o N. (O to OO to X N. ro o CJ' (M in CD 4 <o X 00 o lD vD in to to 4 oo CM 00 ro in CP tx- tH ro CP 10 K in CM o O o fO in CM 4^ CM O' to CM in o in O' X O X CM O' in o (Vi CM a> CM '•H in vO (C in cn T^ CT' o tH in in to in <0

N. oo CM O' in O' 4 X oo h- CP O' in X CM 4 o CD CP CM tH O' ro CP 4 X ro 00 4 CM cn ro O in ro CP CVJ to o to O' o to O' in X o O' O' CP in CM o o o o CD (VI ^ CO n. O' in 4 00 X CD o vO oo «> vO (VI • 4 o K in <D X O' OD fO o X 4* ro 'H H O O o CD o o CD CP O CP T-I CM ro in X O' CM uO CP 4 o* in (VJ CP a (f oo (£> in 4 to CM CM o o O O o O o o O o o CD o CP o O o CD o O o o tH T»l CM CM CM ro 4 in o

UJX

»— o in CM (M CM cr CP ro o CD ro (r CM ro T-I ro kD \D CM 4 in CP (VI CM oo K eo 00 cr V0 vO o O CD in O 00 GO CM tH CM in

Ql oo in ro O' X ro o in 4 4 in <0 (T in cr (T CD CM cr o o to 00 to eo X ro ro t4 4 T^ cr to eo CO to O 10 r- V X in X X 4 OO a eo cr 4 ro CM 4 cr in lO CM 4 cr cr o o O CM cr in 4 ro (T tH T^ cr o (M X 4 in CM eo GO t4

<c a o 4 CM CP CM CM 10 in in cr cr <30 CO CD in <o O' cr cr o o CD O o CM in rp r- (T in V0 vO 4 (VI to CO O CD CM cr

cr 00 ro 4 T-I in vO in CM X T-I 4 \D 00 O' <r (T <r cr (r o o CD o CP O CP ^4 T-I (VI 4 vO cr fO GO 4 t4 t4 CM in CP

• 4 N. o (VI 4 in v0 to. eo eo O' (T O' cr O' a> cr O' (r cr o o O o o o CP O o o o o o t4 t4 (VI ro 4 in vO GO

ro OO CO <r O' cr O' O' (r O' O' (r O' (T cr O' <r cr O' <r o* o o o CD o o o o o CP o o o O O o o o O o CP

CP O' cr (T ir (T <r (T (T (T (T cr (r (T cr O' O' O' (T cr O' o o o CD o o o o o o o CP o O O o o o o o o

ro O' O' (T (T cr O' cr cr cr O' O' O' (T (T cr <r (T (r cr cr o o o CD o CD o o o o o o o O o o o CP o o o

T-I er> O' cr cr cr o* cr (r (T (r O' cr cr cr cr O' cr cr cr cr o o o O o o o o o o o o o O o o o o o o o

CD

v0

tH T-I TF^ tH T-I ^1 t4 t4 4 4 t4 t4 t-4 t-4 T-I t4 T-I T-I

•4 o 4 cr iO o o T-I (O O' X in tH CD CM oo ro O' T-I OO cr (VI o in o T-I 00 4 in (VI CO ro X V0 X r- \0 tH ro to X ro in 4 CL tH ro 4 o 4 in N. CM (VI in in ro X tH in cr O' (VI eo a CO CO (M ro 4 T-I V0 t^ vO CM GO <0 CM O t4 o <0 GO CT> t4 V « 4 to O' X CO r- T^ in in X ro V0 4 in o (VI in CM K o 4 CO (VI vO (0 to CP CD in K N- (T r- CM ro ro 4 o 4 O

II to in r- CM CO eo T^ tH CM vO eo T-I (T 4 o <r O' CO N. o oo CP (r in V0 ro GO CP r. to CM (T eo ro CM t4 eo « in 4 GO ro

Q. ro in 4 CM T-I 4 4 in ro (VI (VI ro or O' in cr ir o cr cr X 4 X cr lO o (T CM o CM (0 ro tH tH CM ro ro ro O X o o flO 4 CO O o O' V0 CM r- 4 V0 r- eo O' O' O' o (T O' cr cr eo X (O in (VI O X to GO ro X o <M ro to CM

Q. 4 X (r CD CM ro in V0 <0 X GO CO <r cr O' (r O' (r (T cr o (T cr O' cr O' cr O' cr O' O' GO CO r- t^ lO (0 in 4 ro CM

eo 00 00 (T 0t> cr (T O' (T (r cr <r cr (T cr O' cr O' O' O' o (T O' O' O' O' cr O' (r cr O' (T <r <r cr O' O' O' cr (T O'

•» O' O' O' O' O' (T O' (r O' (r O' O' O' O' O' O' O' <r O' <r o <r O' <r (T O' O' O' er O' or <J' (T cr (T O' O' O' cr O' cr a

CM

O' O' O' O' O' <T< O' cr O' <r O' O' (T cr O' cr O' cr O' O' o O' O' O' O' O' cr (T cr cr O' <r cr O' cr (T O' cr (T cr O'

N. o (M -S’ o (0 T-I ro OO 00 CM 4 (T o X ro 4 4 X GO 4 ro O 4 (T O' cr in CVJ CM in ro O' X 4 V0 (M X O CM 00

II h- to in 4 ro CM GO 4 CM t4 vO in in in vO o ro CM G3 CP T^ o M <0 in X t4 O' CM T-I X CM uD CM N. 4 4 X r- 4 t4 o

V tH X (T in GO 00 OO X X GO CM (T O' CM oo CM 4 in in GO CD O' ro to to 4 GO O cr v0 4 CM ro vO (VI ro o in cr ro CO o to r- CM t4 X O' 4 in to X cr (VI vO in t-4 4 cr 4 ro eo <r o cr <T> V0 H tH X or ro tH t4 CM ro fvl t4 X o GO t4 cr cr Q X t4 CM cr ro in ro o> CM ro ro O vO t-4 4 «0 CO (T O' cr o (r cr O' O' CO <0 4 CM O' in CP 4 r- O' O' O' 10 ro r- CP

V0 O ro in GO o CM ro in \D X GO eo cn cr O' cr tr (T o (T O' <r cr O' O' O' cr GO « CO t^ >0 in 4 fO CM t4 cr CO X OO CO GO GO O' O' cr O' (T» cr (r O' cr O' (T cr cr <r (T o (T O' O' cr cr <r (T O' O' cr cr (T O' O' O' (T cr cr <o GO

CP (T' O' O' <T> (T O' cr O' cr O' O' <r O' (T cr (T (T <r cr (T o (r (r O' O' O' cr cr cr O' O' cr (T O' (r (T cr cr cr cr (r o <r O' O' (T (T cr O' O' O' cr cr O' O' (T O' O' O' (r O' cr CP (T <r O' O' <r cr (T O' O' O' cr cr (T cr cr O' O' cr O' O'

•

ro

(T O' (T (T (T^ cr cr O' cr O' a> o> cr CT> (T cr O' cr (T cr o

T-I

O' tr O' (T (T (T cr (r O' cr O' O' (T cr (T O' O' (T O' <r

CMM o o m o in CP in o in o in o in O in O in o in o in o in O in ca in o in CP in o in o in O in o in o in O

Q O o T-I t4 CM CM fO ro 4 4 in in (O iO r. X GO GO O' O' o o t4 t4 (VI (VI to ro 4 4 in in (0 10 X GO GO cr cr CP o X (T cr O' cr> o> O' (T O' cy» O' O' O' CT> O' cr or cn O' O' o o O O o o o o o CP O O o o CP o o o O O t-4

T-I t4 t4 4 t4 ^ t4 t-4 t4 t4 T-I T-I T-I t-4 t4 t-4

40
NF3

IDEAL

GAS

FUNCTIONSf

JOULE

S,

MOL

ESt

KEL

VI

NS

Tab! e 8 Comparisons With Ideal Gas Functions

>— aO'HCMO'rHOO'Haooaoaa Zoaocsooooaocaoooao o**************** a. I I III II

o^covOv£)vOvoroo>r>-^voro^(Mv4 io (_5<=>N.K>LnooLnj-o(7'K>roT-tfv.(vi\£tcr'

•ajrcsii'otoTHN.iH^UNN.ooo'crooo

Q.Of^MlTiOOlfN^OO'fOM^^N-rJkOO' o*« ••••••••••••••

foj-ir»irNvOkOi^N-r«.N.KN.Kcooo«o

CD CD o CD CD o o o CD o o O CD CD O

z O O o CD O O o CD CD O a o CD O o O

o

a O 1 1 1

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41
Table 9 Interpolated Ideal Gas Functions

NF3 IDEAL GAS FUNCTIONSt JOUL ES , MOLES, KELVI NS

T,K EZ-EZZ HZ-HZZ SZ CVZ CPZ

50.0 1247.6 1663.3 192.512 24.95 33.26

60. 0 1497.1 1996.0 198.576 24.96 33.27

70.0 1746.9 2328.9 203. 708 25.01 33.32

60.0 1997.5 2662.7 208.165 25.14 33.45

90.0 2249.9 2998.2 212. 117 25.37 33.68

100.0 2505.3 3336.7 215.683 25.72 34.04

110. 0 2764.8 3679.4 218.948 26.21 34.52

120.0 3029.8 4027.6 221.977 26. 81 35.13

130.0 3301.4 4382.3 224. 816 27,53 35,84

140.0 3580.7 4744.227. 502 2 8.34 36.65

150.3868.5 5115.7 230.060 29.23 37.55

160.0 4165.6 5495.9 232.514 30.19 38.51

170.0 4472.5 5686.0 234.879 31.21 39.52

180.0 4789.9 6286.5 237.167 32. 26 40.58

190.0 5117.9 6697.7 239.390 33.35 41.67

200.0 5457.0 7119.9 241. 556 34.46 42. 78

210.0 5807.2 7553.2 243.670 35.58 43.90

220.0 61 68.6 7997.245. 738 36.71 45.02

230.0 6541.4 8453.7 247.764 37.83 46.15

240.0 6925.3 8920.7 249. 752 38.95 47.26

250.0 7320.3 9398.9 251. 703 40. 05 48.36

260.0 7726.2 9888.0 253.621 41.13 49.45

270.0 8142.9 10387.8 255. 508 42.20 50.51

260.0 8570.1 10898.2 257.364 43.24 51.56

290. 0 9007.6 11418.8 259. 191 4 4.26 52.57

300.0 9455.2 11949.5 260.990 45.25 53.56

310.0 9912.4 12489.9 262. 762 46. 21 54.52

320.0 10379.2 13039.8 264.507 47.14 55.45

330.0 10855.1 13598.9 266. 228 48. 04 56,36

340.0 11339.9 14166.9 267.923 48.91 57.23

350.0 11833.3 14743.4 269. 594 49.76 58.07

360.0 12335.0 15328.2 271. 242 50. 57 58.89

370.0 12844.6 15921.0 2 72. 866 51.36 59.67

380.0 13362.0 16521.5 274.467 5 2. 11 60.43

390.0 13886.8 17129.5 276. 046 52.84 61.16

400.0 14418.8 17744.6 277. 604 53,54 61. 86

410.0 14957.6 1 8366.6 279.139 54.22 62,54

420.0 15503.1 18995.2 280.654 54. 87 63.19

430.0 16055.0 19630.2 282.148 55.50 63.81

440.0 16613.0 20271.283.622 56. 10 64.41

450.0 17176.8 20918.4 285.076 56.68 64.99

460 .17746.4 21571.1 286. 511 57,23 65.55

470.0 18321.4 22229.2 287.926 57.77 66. 08

460.0 18901.6 22892.6 289.323 58.28 66,59

490.0 19486.9 23561.0 290. 731 58. 77 67.09

500.0 20077.1 24234.3 2 92. 061 59.25 67.56

510.0 20671.9 24912.3 293.404 59.71 68.02

520.0 21271.1 25594.7 294. 729 60. 15 68.46

530.0 21874.7 26281.4 296.037 60.57 68. 88

540.0 22482.4 26972.3 297.328 60.98 69.29

550.0 23094.2 2 7667.

298. 633 61.37 69.68

560.0 23709.7 28365.8 299. 862 61. 74 70.06

570.0 24329.0 29068.2 301.106 62.11 70.42

580.0 24951.8 29774.302. 333 62. 45 70,77

590.0 25578.0 30483.6 303.546 62. 79 71.11

600. 0 26207.6 31196.3 304. 744 63. 11 71.43

42
Table 10. The Heats of Vaporization

NF3 QVAP, NF = 3, E = .380, QT = 14.548

(23)AEROJET, C39) THERMAL OOPS, (40) CLAPEYRON.

.998247122E + 00 ‘ . 2695 36 1 0 3Ef 0 0 » . 4 050 1 06 72E«- 00

0 . 0 . 0 . 10 WT T,K KJ/MOL CALC PCNT RESID.

39 1.000 66.360 14.548 14.5 48 . 00 .1613E+01

39 .989 70.000 14.406 14.402 .03 .8935Ef00

39 . 974 75.0 00 14.213 14.207 « 04 .9022Ef00

39 .95 8 80.000 14.021 14.017 .03 .9100E<-00

39 .943 85.000 13.932 13.830 .02 .9200E+00

39 .927 90.000 13.645 13.646 -. 01 .9302E-J-00

39 .911 95.000 13.461 13.464 -.02 .9415E<-00

39 .894 100.000 13.278 13.283 -.03 •9523E+00

39 . 877 105.000 13.096 13.102 -.04 .9630E<-00

39 .860 110.000 12.914 12.920 -. 04 .9735E+00

39 .843 115.000 12.731 12.736 -. 04 .9835E+00

39 . 825 120.000 12.546 12.549 -.03 .9930Ef 00

39 . 806 125.000 12.358 12.359 -.01 . 1002E«-01

39 .788 130.000 12.165 12.164 .01 .lOlOE+01

39 .768 155.000 11.967 11.963 . 04 .1018E+01

39 . 749 140.000 11.761 11.754 . 06 .l024Ef 01

40 1.000 66.350 14.548 14.548 .00 0.

40 .989 70.0 00 14.407 14.402 . 03 .9000E+00

40 .974 75.0 00 14.214 14.207 .05 .9051E+00

40 .95 8 60.0 GO 14.022 14.017 .04 .9120Ef00

40 . 943 85.0 00 13.832 13.830 . 02 .9205E«-00

40 .927 90.000 13.645 13.646 -. 01 .9303E4-00

40 . 911 95.000 13.460 13.464 -.03 .9409E+00

40 .394 1 00.0 00 13.2 78 13.283 -. 04 .9522E4-00

40 . 877 105.0 00 13.097 13.102 -. 03 .9636E4-00

40 . 860 110.000 12.917 12.920 -. 02 .9748E+00

40 . 343 115.0 00 12.736 12.736 -. 00 .9854E+00

40 .825 120.000 12.552 12.549 .02 .9952E+00

40 . 806 125.000 12.364 12.359 . 04 .1004Ef01

40 . 788 130.0 00 12.171 12. 164 . 06 .1012E+01

40 . 76 8 135.000 11.970 11.963 . 06 .1018E+01

40 . 749 140.0 00 11.761 11.754 . 06 .1024Ef 01

40 . 729 145.0 00 11.543 11.538 . 04 .1029Ef0l

40 . 70 8 150.000 11.314 11.311 . 02 .1032E*-01

40 .686 155.000 11.073 11.074 -.01 .1035E+01

40 . 664 160.000 10.821 10.824 -. 04 .1037E+01

40 .642 165.0 00 10.554 10.561 -. 06 .1039Efr01

40 .618 170.0 00 10.273 10.281 -. 08 .1040EI-01

40 . 593 175.000 9.975 9.963 -. 08 .1041E+01

40 .563 180.000 9.657 9.664 -. 07 .1042E+01

40 . 541 185.0 00 9.318 9.322 -. 05 .1041E+01

40 . 512 190.000 8.952 8.953 -. 01 .1041Ef01

40 . 482 195.000 8.556 8.553 . 04 .1040E+01

40 .450 200.000 8.122 3.115 . 09 .1338E+01

40 . 416 205.000 7.640 7.631 . 13 .1035E+01

40 .378 210.000 7.099 7.089 .13 .1030Ef01

40 .337 215.0 00 6.476 6.471 . 08 .1025EI-01

40 . 289 220.000 5.739 5.743 -. 07 .1017E+01

40 .232 225.0 CO 4.818 4. 834 -. 33 .1008E+01

40 . 154 230.0 00 3.521 3.532 -. 32 .lOOlE+01

40 0.000 234.000 0.000 0.000 0.00 0.

43
Table 10. Continued

NF3 QVAP, NF = 3, E = .380. Oil = 14.548

ID WT T.K

23 0.000 70.000

23 0.000 80.0 00

23 0.000 90.000

23 0.000 100.0 00

23 0.000 110.000

23 0.000 120.000

23 0.000 130.000

23 0.000 140.0 00

23 0.000 150.000

23 0.000 160.000

23 0.000 170.000

23 0.000 180.000

23 0.000 190.0 00

23 0.000 200.0 00

23 0.000 210.000

23 0.000 220.0 00

23 0.000 230.0 CO

KJ/MOL CALC

14.469 14.402

14.137 14.017

13.790 13.646

13.429 13.283

13.049 12.920

12.651 12.549

12.229 12.164

11.782 11.754

11.303 11.311

10.787 10.824

10.225 10.281

9.605 9.664

8.908 8.953

8.102 8.115

7.129 7.089

5.850 5.743

3.699 3.532

PCNT RESIO.

. 46 .1216Ef 01

. 86 .1070E+01

1. 06 .1048E<-01

1.10 .1039E+01

1. 00 .1035E>01

. 81 .1032E+01

. 54 .1031E+01

. 23 .1030E4-01

". 08 .1029Ef01

-.35 .1029Ef01

-. 54 .1030E+01

-.61 .1031E>01

-.51 .1032E+01

-. 16 .1034E4-01

.56 .1037E+01

1. 86 .1042E«-01

4.73 .1057E+01

NP = 50. RMSPCT = .05

44
TABLE 11. 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 (3P/3p) in units of the

bar and mol/L. The last tv/o columns give the isochore slopes and curvatures

3P/3T, 3^P/3T2, in units of the bar and K. These tables show that the isochore curvatures are qualitatively consistent

with a maximum in the specific heat Cy(p,T) at the critical point.

45
Table 11 . Calculated P(T) Isochores.

NF3 ISOCHORE AT

T,K P,BAR 2 177.084 6.388 .86770

180.000 6.525 .87200

188.000 6.898 .88264

196.000 7.268 .89193

204.000 7.634 .90015

212.000 7.998 .90750

220.000 8.360 .91412

228.000 8.721 .92012

236.000 9.081 .92558

244.000 9.440 .93059

252.000 9.797 .93518

260.000 10.154 .93942

268.000 10.510 .94334

276.000 10.866 .94698

284.000 11.220 .95036

292.000 11.575 .95351

300.000 11.929 .95645

308.000 12.282 .95920

316.000 12.635 .96179

324.000 12.987 .96421

332.000 13.340 .96650

340.000 13.691 .96865

348.000 14.043 .97068

356.000 14.394 .97259

364.000 14.745 .97441

372.000 15.096 .97613

380.000 15.446 .97776

388.000 15.796 .97931

396.000 16. 146 .98078

404.000 16.496 .98218

412.000 16.845 .98351

420.000 17.195 .98478

428.000 17.544 .98599

436.000 17.893 .98715

444.000 18.241 .98825

452.000 18.590 .98931

460.000 18.938 .99032

468.000 19.286 .99129

476.000 19.634 .99222

484.000 19.982 .99311

492.000 20.330 .99396

500.000 20.678 .99478

.500 MOL/L

OP/DO OP/OT D2P/0T2

10.916 .0473 >• 000113

11.233 .0470 -.000092

12.077 .0464 -.000060

12.899 . 0460 -.000044

13,706 .0456 -.000034

14.502 . 0454 -. 000028

15.289 .0452 -.000023

16.070 .0450 -.000019

16.845 . 0449 -. 000017

17.615 • 0448 -• 000014

18.381 .0447 -• 000013

19.143 • 0446 -.000011

19.902 .0445 -. 000010

20.659 . 0444 -.000009

21.412 .0443 -. 000008

22.164 • 0443 -.000008

22.913 .0442 -. 000007

23.661 . 0441 -. 000007

24.407 .0441 -.000006

25.151 .0440 -. 000006

25.894 • 0440 -.000005

26.635 . 0440 -. 000005

27.375 . 0439 -. 000005

26.113 .0439 -. 000004

28.851 .0438 -.000004

29.587 • 0438 -.000004

30.323 • 0438 -. 000004

31.057 • 0438 -.000004

31.791 • 0437 -.000003

32.523 .0437 -.000003

33.255 .0437 -. 000003

33.986 .0436 -.000003

34.716 . 0436 -. 000003

35.445 .0436 -.000003

36.174 .0436 -.000003

36.902 .0436 -.000003

37.629 .0435 -.000003

38,356 .0435 -.000002

39.082 • 0435 -.000002

39.808 ,0435 -.000002

40.533 ,0435 -.000002

41.257 .0434 -. 000002

46
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Table 11 . Calculated P(T) Isochores.

NF 3 ISOCHORE AT

T,K P.BAR Z 177.084 6.388 .86770

180.000 6.525 .87200

188.000 6.898 .88264

196.000 7.268 .89193

204.000 7.634 .90015

212.000 7.998 .90750

220.000 8.360 .91412

228.000 8.721 .92012

236.000 9.081 .92558

244.000 9.440 .93059

252.000 9.797 .93518

260.000 10.154 .93942

268.000 10.510 .94334

276.000 10.866 .94698

284.000 11.220 .95036

292.000 11.575 .95351

300.000 11.929 . 95645

308.000 12.282 .95920

316.000 12.635 .96179

324.000 12.987 .96421

332.000 13.340 .96650

340.000 13.691 .96865

348.000 14.043 .97068

356.000 14.394 .97259

364.000 14.745 .97441

372.000 15.096 .97613

380.000 15.446 .97776

388.000 15.796 .97931

396.000 16.146 .98078

404.000 16.496 .98218

412.000 16.845 .98351

420.000 17.195 .98478

428.000 17.544 .98599

436.000 17.893 .98715

444.000 18.241 .98825

452.000 18.590 .98931

460.000 18.938 .99032

468.000 19.286 .99129

476.000 19.634 .99222

484.000 19.982 .99311

492.000 20.330 .99396

500.000 20.678 .99478

.500 HOL/L

OP /00 OP/DT 02 P /0 T 2

10.916 .0473 •• 000113

11.233 .0470 -.000092

12.077 • 0464 -.000060

12.899 • 0460 -• 000044

13,706 .0456 -.000034

14.502 . 0454 -. 000028

15.289 • 0452 -• 000023

16.070 • 0450 -.000019

16.845 . 0449 -. 000017

17.615 .0448 -• 000014

18.381 .0447 -. 000013

19.143 • 0446 -.000011

19.902 .0445 -. 000010

20.659 . 0444 -.000009

21.412 .0443 -. 000008

22.164 • 0443 -.000008

22.913 • 0442 -. 000007

23,661 . 0441 000007

24.407 • 0441 -.000006

25.151 . 0440 -. 000006

25.894 • 0440 -.000005

26.635 • 0440 -. 000005

27.375 . 0439 -• 000005

26.113 . 0439 -. 000004

28.851 • 0438 -.000004

29.587 • 0438 -.000004

30.323 . 0438 -. 000004

31.057 • 0438 -.000004

31.791 .0437 -.000003

32.523 • 0437 -.000003

33.255 .0437 -. 000003

33.986 .0436 -.000003

34.716 • 0436 -• 000003

35.445 .0436 -.000003

36.174 • 0436 -.000003

36.902 .0436 -.000003

37.629 .0435 -.000003

38.356 .0435 -.000002

39.082 • 0435 -.000002

39.808 ,0435 -.000002

40.533 .0435 -.000002

41.257 .0434 -. 000002

46
Table 11 . Continued.

NF3 ISOCHORE AT 1.000 MOL/L

T,K P.BAR Z 194.018 12.719 .78847

196.000 12.924 .79305

204.000 13.736 .80992

212.000 14.537 .82472

220.000 15.327 .83789

228.000 16.108 .84972

236.000 16. 684 « 860.44

244.000 17.654 .87019

252.000 18.420 .87911

260.000 19. 182 .88731

266.000 19.940 .89487

276.000 20.696 .90187

234.000 21.449 .90837

292.000 22.200 .91441

300.000 22.949 .92004

308.000 23.696 .92531

316.000 24.441 •93024

324.000 25.185 .93487

332.000 25.927 .93923

340.000 26.667 .94332

348.000 27.406 .94719

356.000 28.144 .95084

364.000 28.881 .95429

372.000 29.617 .95755

380.000 30.352 .96065

388.000 31.086 .96359

396.000 31.819 .96638

404.000 32.551 •96904

412.000 33.282 .97157

420.000 34.012 .97398

426.000 34.742 .97628

436.000 35.471 .97847

444.000 36.199 .98057

452.000 36.926 .98257

460.000 37.653 .98449

468.000 38.380 .98632

476.000 39.105 .98808

484.000 39.831 .98977

492.000 40.555 .99139

500.000 41.279 .99294

OP/OD OP/OT 02P/0T2

9.474 .1036 000398

9.731 .1029 ». 000341

10.723 .1007 >• 000216

11.673 .0993 000156

12.595 .0982 000121

13.498 .0973 000097

14.386 .0966 000081

15.262 • 0960 000068

16.128 .0955 -.000059

16.986 .0950 -.000051

17.837 .0947 -. 000045

18.681 .0943 000040

19.520 . 0940 -• 000036

20.354 .0937 -.000033

21.184 .0935 -• 000030

22.009 .0932 -• 000026

22.832 • 0930 -. 000025

23.650 .0928 -.000023

24.466 .0927 000022

25.279 .0925 -. 000020

26.090 .0923 -. 000019

26.898 .0922 -. 00 0018

27.704 • 0926 -.000017

28.508 .0919 -• 000016

29.309 • 0918 000015

30.109 .0917 -.000014

30.907 .0916 -.000014

31.703 .0914 -.000013

32.498 . 0913 -• 000012

33.291 .0913 -.000012

34.083 • 0912 -.000011

34.874 .0911 -.000011

35.663 • 0910 -• 000010

36.450 .0909 -. 000010

37.237 • 0908 -• 000010

38.022 .0907 -.000009

38.807 .0907 -. 000009

39.590 . 0906 -. 000009

40.372 .0905 -. 000008

41.153 .0905 -• 000008

47
Table 1 1

NF3 ISOCHORE AT

T.K P,BAR Z 212.116 23.561 .66796

220.000 25.395 .69416

226.000 27.204 .71751

236.000 28.977 . 73837

244.000 30.724 .75721

252.000 32.449 . 77435

260.000 34.158 ,79005

268.000 35.852 . 80448

276.000 37.534 .81781

264.000 39.206 .83016

292.000 40.867 .84164

300.000 42.521 .85234

306.000 44.166 .86233

316.000 45.805 .87169

324.000 47.438 .88047

332.000 49.065 .88872

340.000 50.686 .89649

346.000 52.303 .90382

356.000 53.915 .91074

364.000 55.523 .91729

372.000 57.127 .92349

380.000 58.728 .92938

388.000 60.324 .93496

396.000 61.918 .94027

404.000 63.508 .94532

412.000 65.095 .95013

420.000 66.679 .95472

428.000 68.261 .95910

436.000 69.840 .96328

444.000 71.417 .96728

452.000 72.991 .97110

460.000 74.563 .97477

468.000 76,133 ,97828

476.000 77,701 .98164

484.000 79.267 .98487

492.000 80.830 ,98797

500.000 82.392 .99095

Conti nued

2.000 MOL/L

DP/DO DP/OT 02P/DT2

6.446 .23 74 -.001518

7,668 ,2289 -• 000800

8.820 .2236 -. 000544

9.923 .2199 -.000409

10.996 .2169 -.000324

12.045 .2146 -• 000266

13,075 .2126 -.000224

14.091 .2110 -. 000192

15.095 .2095 -. 000168

16.088 .2083 -.000148

17.072 .2072 -• 000132

18.049 • 2062 -. 000116

19. 018 ,2053 -.000107

19.981 .2045 -.000098

20.938 .2037 -. 000089

21,890 .2030 -.000082

22.837 .2024 -. 000076

23.780 .2018 -.000071

24.718 • 2013 -.000066

25,654 .2007 -. 000062

26.585 .2003 -. 000058

27.513 .1998 -. 000055

28.439 .1994 -.000052

29.361 ,1990 -• 000049

30.281 .1986 -. 000047

31.198 . 1982 -. 000044

32.112 .1979 -.000042

33.025 .1975 -. 000040

33.935 .1972 -. 000039

34.842 .1969 -. 000037

35.748 .1966 -.000035

36.652 .1964 -.000034

37,554 .1961 -• 000033

38.455 .1958 -. 000031

39.353 .1956 -. GQ0030

40.250 .1954 -.000029

41.145 .1951 -. 000028

48
Table 11.

NF3 ISOCHORE AT

T,K P,8AR 2

221,972 31.741 .57328

228,000 34. 057 .59884

236.000 37.030 .62904

244.000 39.931 .65610

252.000 42.783 • 68063

260.000 45.595 .70305

268.000 48.376 .72367

276.000 51.131 .74270

284.000 53.863 .76035

292.000 56.575 .77676

300.000 59.271 .79207

308.000 61.951 .80638

316.000 64.618 .81980

324.000 67.272 .83240

332.000 69.915 . 84426

340.000 72.548 .85544

348.000 75.171 .86599

356.000 77.785 . 87597

364.000 80.391 .88542

372.000 82.990 .89439

380.000 85.581 .90289

388.000 88.165 .91098

396.000 90.743 .91868

404.000 93.315 .92601

412.000 95.882 .93300

420.000 98.442 .93967

428.000 100.998 . 94605

436.000 103.549 .95214

444.000 106.095 .95797

452.000 108.636 .96356

460.000 111.173 .96891

468.000 113.706 .97404

476.000 116.234 .97897

484.000 118.759 .98371

492.000 121.281 .98825

500.000 123.798 .99263

Continued.

3.000 MOL/L

OP/OD OP/DT D2P/0T2

3.991 .3925 “.003709

5. 055 .3775 “.001772

6.345 . 3666 “.001081

7.576 .3593 “. 000779

8. 771 .3538 “.000604

9.942 .3495 “.000490

11.095 .3459 “. 000410

12.232 .3428 ". 000350

13.358 .3402 000303

14.473 .3380 “.000267

15.579 .3360 ”.000237

16.677 • 3342 -.000213

17.768 .3325 -. 000193

18.854 .3311 -.000176

19.933 .3297 “. 000161

21.008 .3265 -.000149

22.078 .3273 -. 000138

23.143 .3263 -. 000128

24.205 .3253 -. 000120

25.263 .3243 -. 000113

26.317 .3235 ”.000106

27.368 .3226 -. 000100

28.416 .3219 000095

29.461 .3211 -. 000090

30.503 .3204 -.000085

31.543 .3198 -.000081

32.580 .3191 -.000077

33.615 .3185 “.000074

34.647 .3179 -.000071

35.677 .3174 -. 000068

36.705 .3169 000065

37.731 .3163 -. 000063

38.755 .3159 -. 000060

39.777 .3154 -.000058

40.797 .3149 -. 000056

41.815 .3145 “• 000054

49
Table 11 . Continued.

NF3 ISOCHORE AT

T,K P,8AR Z 227.832 37.549 .49555

228.000 37.643 .49643

236.000 41.990 .53499

244.000 46.183 .56911

252.000 50.287 .60001

260.000 54.327 .62827

268.000 58.318 .65429

276.000 62.269 .67837

284.000 66.166 .70073

292.000 70.075 .72158

300.000 73.938 .74105

308.000 77.779 .75930

316.000 81.600 .77644

324.000 85.404 .79257

332.000 89.191 .80777

340.000 92.963 .82212

348.000 96.721 .83569

356.000 100.467 . 84855

364.000 104.201 .86074

372.000 107.924 .87232

380.000 111.636 .88333

388.000 115.339 .89381

396.000 119.032 .90380

404.000 122.716 .91332

412.000 126.393 .92242

420.000 130.061 .93111

428.000 133.721 .93942

436.000 137.375 .94738

444.000 141.021 .95500

452.000 144.661 .96231

460.000 148.294 .96933

468.000 151.922 .97606

476.000 155.543 .98253

484.000 159.158 .98875

492.000 162. 768 .99474

500.000 166.373 1.00050

4.000 HOL/L

DP/DO OP/OT D2P/DT2

2. 234 .5625 “. 007997

2.269 .5612 “.007513

3.730 .5314 -. 002198

5.073 .5178 -. 001352

6.376 .5086 -.000979

7.657 .5017 “. 000764

8.922 .4962 -.000623

10.175 .4916 -, 000523

11.419 .4878 -. 000449

12.656 .4844 -. 000392

13.885 .4815 -.000346

15.109 .4789 -.000310

16.328 .4765 000279

17.542 .4744 -. 000254

18.752 .4724 -.000233

19.959 .4706 -.000214

21.161 .4690 -.000199

22.361 .4675 -.000185

23.557 .4660 -.000173

24.751 .4647 -.000162

25.941 .4634 -. 000153

27.129 .4622 -.000145

28.315 .4611 000137

29.498 .4600 -. 000130

30.679 .4590 -.000124

31,857 .4580 -. 000118

33.034 .4571 -. 000113

34.208 .4562 -.000109

35.380 . 4554 -.000104

36.551 .4546 -. 000100

37.719 .4538 -.000096

38.886 .4530 -. 000093

40.051 .4523 -. 000090

41.214 .4516 -. 000087

42.375 .4509 -. 000084

43.534 .4503 -. 000081

50
Table 11 . Continued.

NF3 ISOCHORE AT 5.000 MOL/L

T,K P.BAR Z 231.310 41.392 .43044

236.000 44.772 •45634

244.000 50.344 .49631

252.000 55.794 •53257

260.000 61.163 .56586

268.000 66.472 .59662

276.000 71.733 .62518

284.000 76.955 .65179

292.000 82.142 .67667

300.000 87.300 •69998

308.000 92.432 .72188

316.000 97.541 .74250

324.000 102.629 .76194

332.000 107.698 .78031

340.000 112.750 .79768

348.000 117. 785 .81415

356.000 122.805 .82977

364.000 127.811 .84462

372.000 132.803 .85873

380.000 137.783 .87218

388.000 142.751 .88500

396.000 147.708 .89723

404.000 152.655 .90891

412.000 157.591 .92008

420.000 162.517 .93077

428.000 167.434 .94101

436.000 172.342 .95082

444.000 177.241 .96023

452.000 182.132 .96926

460.000 187.015 .97794

468.000 191.890 .98628

476.000 196.757 .99430

484.000 201.617 1. 00202

492.000 206.470 1.00945

500.000 211.316 1.01662

DP700 DP/OT 02P/0T2

1.064 .7415 “.017485

1.961 .7080 “• 003813

3.372 .6875 001829

4.757 .6756 001231

6.134 .6671 -.000929

7.506 e 6604 -. 000744

8.875 .6550 -.000618

10.242 .6505 -.000527

11.606 • 6465 000458

12.970 .6431 -.000405

14.331 • 6 40 0 -.000362

15.692 .6373 000327

17.051 • 6348 -. 000298

18.408 .6325 -.000274

19.765 • 6304 -.000253

21.120 • 6284 -.000236

22.473 .6266 -.000220

23.826 .6249 -.000207

25.177 .6233 -. 000195

26.526 .6218 -. 000185

27.875 .6203 -.000176

29.221 .6189 -. 000167

30.567 .6176 -. 000160

31.911 • 6164 -. 000153

33.254 .6152 -. 000147

34.595 .6140 -. 000141

35.935 .6129 -.000136

37.274 .6119 -. 000131

38.611 .6108 -. 000126

39.946 • 6099 -.000122

‘41.281 .6089 -. 000118

42.614 .6080 -.000115

43.945 .6071 -.000111

45.275 • 6062 -. 000108

46.604 .6053 -.000105
Table 1 1

.

NF3 ISOCHORE AT

T,K P.BAR Z 233.188 43.610 .37488

236.000 46.145 .39194

244.000 53.150 .43664

252.000 60.026 .47748

260.000 66.824 .51520

266.000 73.566 .55024

276.000 80.262 .58293

284.000 86.921 .61351

292.000 93.549 .64220

300.000 100.148 .66917

308.000 106.723 .69458

316.000 113.275 .71856

324.000 119.807 .74123

332.000 126.321 .76269

340.000 132.817 .78304

348.000 139.296 .80237

356.000 145. 761 . 82074

364.000 152.211 .83822

372.000 158.648 .85488

380.000 165.071 .87076

388.000 171.482 .88593

396.000 177.881 .90042

404.000 184.269 .91429

412.000 190.645 .92756

420.000 197.011 .94027

428.000 203.367 .95246

436.000 209.712 .96416

444.000 216.048 .97539

452.000 222.375 .98619

460.000 228.692 .99656

468.000 235.000 1. 00655

476.000 241.299 1.01616

484.000 247.590 1.02542

492.000 253.873 1.03434

500.000 260.148 1.04295

Continued

.

6.000 HOL/L

OP/00 OP/OT D2P/0T2

.356 .9237 -.044724

.890 • 8896 -. 005383

2.345 .8658 -. 001870

3.817 .8541 -.001187

5.304 .8459 -.000878

6.802 .8397 -.000698

8.309 .8346 -. 000580

9.824 .6303 -. 000496

11.345 .8266 -. 000434

12.871 .8233 -. 000386

14.401 .8204 -. 000348

15.934 .8177 -. 000317

17.470 .8153 -.000292

19.008 .8131 -.000271

20.548 .8110 -.000253

22.089 .6090 -. 0002 38

23.631 .8071 -. 000225

25.174 .8054 -. 000213

26.718 .8037 -.000203

28.262 . 8021 -. 000194

29.806 . 8006 -. 000186

31.351 .7992 -. 000179

32.895 .7978 -. 000173

34.439 .7964 -. 000167

35.982 . 7951 -. 000161

37.525 .7938 -. 000156

39.067 .7926 -. 000152

40.609 .7914 -.000148

42.150 . 7902 -• 000144

43.690 . 7891 -.000140

45.229 .7880 -. 000136

46.768 .7869 -. 000133

48.305 .7858 -.000130

49.841 .7848 -. 000127

51.377 .7838 -.000125

52
Table 11 Continued

NF3 ISOCHORE AT

T,K P,BAR Z 233.91

3

44.499 . 32686

236.000 46.752 .34037

244,000 55,244 ,38901

252.000 63.651 .43398

260.000 72.009 ,47586

268.000 80.330 .51500

276.000 88.622 .55169

284.000 96.889 .58617

292.000 105.134 .61862

300.000 113.360 .64924

308.000 121.568 .67816

316.000 129. 759 .70553

324.000 137.934 .73146

332.000 146. 095 .75607

340.000 154.242 .77945

348.000 162,375 .80169

356.000 170,496 .82287

364.000 178,604 .84305

372.000 186.700 .86232

380.000 194. 784 . 88071

388.000 202.856 . 89830

396.000 210.918 ,91513

404.000 218.968 .93125

412.000 227.008 .94669

420.000 235.037 ,96151

428.000 243.055 .97572

436.000 251. 064 .98938

444.000 259.062 1.00250

452.000 267.050 1.01513

460.000 275.029 1.02728

468.000 282.998 1.03897

476.000 290.958 1.05024

484.000 298.908 1.06111

492.000 306. 850 1,07158

500.000 314.782 1.08170

7,000 MOL/L

OP/OD OP/DT 02P/0T2

.041 1.1021 “.189899

.417 1.0716 “.004383

1,947 1. 0550 001208

3.548 1.0474 “.000755

5,190 1.0422 “.000563

6.861 1.0382 000456

8.554 1.0348 000387

10.264 1, 0320 “.000340

11.988 1.0294 “. 000305

13.724 1.0270 “.000279

15.469 1.0249 000259

17,222 1.0229 “. 000243

18.982 1.0210 000230

20.748 1.0192 00 0219

22.519 1.0175 000210

24.294 1. 0159 -.000202

26.072 1,0143 “. 000195

27,854 1.0127 “. 000189

29.637 1.0112 -. 000184

31.423 1.0098 -.000180

33, 211 1.0084 “. 000176

35.000 1.0070 “. 000172

36.790 1.0056 -. 000168

38.580 1.0043 “. 000165

40.372 1. 00 30 -. 000162

42.163 1.0017 “.000159

43.955 1.0004 -.000157

45.747 .9992 -.000154

47.539 .9979 -. 000152

49.330 .9967 -. 000150

51.121 .9956 -. 000148

52.912 .9944 -. 000146

54.702 .9932 -.000144

56.491 .9921 -. 000142

58.279 .9909 -. 000140

53
Table 11 .

NF3 ISOCHORE AT

T,K P,BAR Z 234.000 44.607 .28949

236.000 47.097 .30306

244.000 37.058 . 35511

232.000 67.016 .40385

260.000 76. 972 .44957

266.000 86.925 .49255

276.000 96. 873 .53301

284.000 106.816 .57116

292.000 116.753 .60719

300.000 126.664 .64127

308.000 136.607 .67354

316.000 146.524 .70414

324.000 156.433 .73320

332.000 166.334 .76082

340.000 176.226 .78710

348.000 186.110 . 81214

336.000 195.986 .83601

364.000 205. 852 . 85880

372.000 215.709 .88057

380.000 225.557 .90139

388.000 235. 395 .92131

396.000 245.224 .94039

404.000 255.044 .95868

412.000 264.854 .97622

420.000 274.654 .99306

428.000 284.444 1.00923

436.000 294.224 1.02478

444.000 303.995 1.03973

432.000 313.756 1.05413

460.000 323.507 1.06798

468.000 333.248 1.08134

476.000 342.979 1.09421

484.000 352.701 1.10662

Continued.

7.920 MOL/L

OP/DO OP/OT 02P/DT2

0.000 1.2451 0.000000

. 371 1.2451 -.000005

2.044 1.2450 -. 000025

3.826 1,2447 -. 000042

5.668 1.2443 -.000056

7.552 1.2438 -. 000069

9.469 1.2432 -. 000081

11.410 1.2425 -. 000091

13.373 1.2417 -. 0001 00

15.353 1.2409 -.000107

17,346 1.2400 -. 000114

19.352 1.2391 -. 000120

21.368 1.2381 -. 000125

23.393 1.2371 -. 000130

25.426 1.2360 -.000134

27.464 1.2350 -. 000137

29.509 1.2338 -. 000140

31.558 1.2327 -. 000143

33.611 1.2316 -. 000145

35.667 1.2304 -. 000147

37,726 1.2292 -. 000148

39.788 1.2280 -. 000150

41.851 1.2268 -. 000151

43.917 1.2256 -.000152

45.983 1.2244 -. 000152

48.051 1.2232 -. 000153

50.119 1.2219 -.000153

52.187 1.2207 -.000154

54.256 1,2195 -. 000154

56.325 1.2183 -.000154

58,394 1.2170 -. 000154

60.463 1.2158 -.000153

62.531 1.2146 -.000153

54
Table 11

.

NF3 ISOCHORE AT

T,K P,BAR Z 233.930 44.520 .25432

236.000 47.540 .26920

240.000 53.465 .29770

244.000 59.439 . 32554

248.000 65* 444 , 35265

252.000 71.472 .37902

256.000 77.518 . 40466

260.000 83.579 .42958

264.000 89.652 .45381

268.000 95.735 .47737

272.000 101.827 .50028

276.000 107.927 .52257

260.000 114.034 . 54425

284.000 120.146 .56535

288.000 126.264 .58588

292.000 132.386 .60587

296.000 138.512 .62534

300.000 144.640 .64430

304.000 150.772 .66278

308.000 156.906 .68079

312.000 163.042 .69834

316.000 169.180 .71546

320.000 175. 319 . 73215

324.000 181.459 .74844

328.000 187.600 .76433

332.000 193.742 .77984

336.000 199. 883 .79498

340.000 206.025 .80977

344.000 212.167 .82422

348.000 218.308 .83833

352.000 224.449 .85211

356.000 230.590 . 86559

360.000 236.729 .87876

364.000 242.868 •89164

368.000 249.006 •90424

372.000 255.143 .91656

376.000 261.278 .92862

380.000 267.412 .94041

384.000 273.545 .95196

336.000 279.676 .96326

392.000 285.806 .97433

396.000 291.934 .98517

400.000 298.060 .99578

404.000 304.164 1. 00618

408.000 310.307 1.01637

412.000 316.427 1.02636

416.000 322.546 1.03614

420.000 328.663 1.04574

424.000 334. 777 1.05514

423.000 340.889 1.06437

432.000 346. 999 1.07341

436.000 353.107 1.08228

440.000 359.213 1.09099

Continued.

9.000 MOL/L

OP/OD DP/OT 02P/OT2

• 0 3 6 1.4263 .199779

• 488 1.4713 . 00 7078

1.433 1.4886 .002903

2.428 1*4979 . 001892

3.455 1*5044 0 00 1408

4.506 1.5S94 9 00 1115

5.577 1.5134 .000914

6.663 1.5168 « 0 0 07 66

7. 764 1.5196 . 000651

8.877 1.5220 . 000558

10.000 1.5241 .000482

11.132 1.5259 .000417

12.273 1.5274 a 00 0 363

13.421 1.5288 .000315

14.576 1.5300 . 000273

15.738 1.5310 • 000236

16.905 1.5319 .000204

18.077 1. 5326 . 000174

19.254 1.5333 • 000148

20.435 1. 5338 .000124

21.621 1.5342 .000102

22. 810 1.5346 . 000083

24.002 1.5349 .000065

25.198 1. 5351 . 000048

26.396 1.5353 . 000033

27.598 1.5354 . 000019

28.801 1. 5354 . 000006

30.007 1.5354 000006

31.216 1.5354 “.000017

32.426 1.5353 -.000028

33.638 1.5352 ». 0000 37

34.852 1.5350 ». 000046

36.067 1.5348 -. 000055

37.284 1. 5346 -.000062

38.502 1.5343 -. 000070

39.721 1. 5340 000076

40.942 1.5337 -. 000083

42.164 1.5334 -.000089

43.386 1.5330 -.000094

44.610 1.5326 -. 000099

45.834 1.5322 -. 000104

47.060 1.5318 000109

48.285 1.5313 -. 000113

49.512 1.5309 000117

50.739 1.5304 -. 000121

51.967 1.5299 -.000125

53.195 1.5294 -. 000128

54.423 1.5289 -. 000131

55.652 1. 5283 -. 000134

56.881 1.5278 -.000137

58.110 1.5272 -. 000140

59.340 1. 5267 -. 000142

60.570 1.5261 -. 000145

55
Table 11 Conti nued

NF3 ISOCHORE AT 10.000 MOL/L

T.K P,8AR Z 233.503 43.994 .22660

236.000 48.241 .24585

240.000 55.205 .27665

244.000 62.266 .30692

248.000 69.391 .33653

252.000 76.564 . 36542

256.000 83.776 .39359

260.000 91.019 .42104

264.000 98.290 .44778

268.000 105.583 .47383

272.000 112.897 .49920

276.000 120.229 .52392

280.000 127.576 .54799

284.000 134.938 .57145

288.000 142.312 .59431

292.000 149.696 .61658

296.000 157. 091 .63830

300.000 164.495 .65947

304.000 171.907 .68012

308.000 179. 325 .70025

312.000 186. 750 .71990

316.000 194. 181 . 73907

320.000 201.617 . 75777

324.000 209.057 . 77604

328.000 216.501 .79387

332.000 223.948 .81129

336.000 231.399 .62830

340.000 238.852 .84492

344.000 246.307 .86116

348.000 253.764 .87703

352.000 261.223 .89255

356.000 266.683 .90773

360.000 276. 144 .92257

364.000 283.606 .93708

368.000 291.068 .95129

372.000 298.531 .96518

376.000 305.993 .97879

330.000 313.455 .99210

384.000 320.917 1.00514

388.000 328.379 1.01790

392.000 335.839 1.03041

396.000 343.299 1.04266

400.000 350.758 1.05466

404.000 358.215 1.06642

OP/00 DP/OT 02P/DT2

• 310 1. 6604 . 075649

1.020 1. 7230 .012050

2.171 1. 75 5 3 . 005775

3.364 1. 7742 .003911

4.590 1. 7877 . 002970

5.840 1. 7984 . 00 2387

7.111 1.8071 . 001964

8.400 1.6144 .001684

9.704 1.8206 .001452

11.022 1. 8261 . 001265

12.352 1. 8308 . 001111

13.692 1.8350 . 000981

15.042 1. 8387 .000871

16.400 1.8420 .000775

17.766 1.8449 . 000692

19.139 1.8475 . 000616

20.519 1.8499 .000553

21.904 1.8519 .000495

23.295 1. 8538 . 000443

24.691 1. 8555 .000395

26. 092 1. 8570 . 0003 52

27.497 1.8583 .000314

28.906 1. 8595 .000278

30 .318 1.6605 .000245

31.734 1.8615 • 00 0215

33.152 1.8623 .000188

34.574 1.8630 . 000163

35.998 1. 6636 . 000139

37.425 1.6641 .000117

38.854 1.8645 . 000097

40.285 1.8649 •000078

41.718 1. 8651 .000061

43.153 1.8654 • 000044

44.590 1. 8655 . 000029

46.028 1. 8656 .000015

47.467 1.8656 .000001

48.906 1.8656 -• 000011

50.350 1.8655 000023

51.793 1.8654 -.000034

53.237 1.8653 -.000044

54.681 1. 8651 -. 000054

56.127 1.8648 -. 000063

57.574 1. 8646 -. 000072

59.021 1.8643 -. 000080

56
Table 11 Continued

NF3 ISOCHORE AT 11.000 MOL/L

T.K P,BAR Z 232.416 42.685 .20081

236.000 49, 898 .23118

240.000 58.161 ,26497

244.000 66.553 .29823

248.000 75.036 .33082

252.000 83.590 •36268

256.000 92,203 .39380

260.000 100,865 .42417

264.000 109.569 .45379

268.000 118.309 .48267

272.000 127,082 .51084

276.000 135.883 .53830

280.000 144.709 .56508

284.000 153,558 .59119

288.000 162, 427 .61665

292.000 171.315 .64148

296.000 180.218 .66570

300.000 189.137 .68933

304.000 198.069 ,71239

308.000 207.014 .73489

312.000 215,969 .75685

316.000 224.934 .77829

320.000 233.909 .79922

324.000 242.891 , 81967

328.000 251.881 ,83964

332.000 260.877 .85915

336.000 269.879 .87822

340.000 2 78. 886 , 89685

344.000 287.898 .91507

348.000 296.915 .93288

352.000 305.935 .95029

356.000 314.958 .96733

360.000 323.983 .98399

364.000 333.012 1. 00030

368.000 342.042 1.01625

372.000 351.073 1,03187

DP/DD OP/OT D2P/OT2

1,174 1.9648 . 044829

2,516 2, 0442 . 013076

3.979 2.0840 .007801

5,462 2.1104 .005643

6.969 2.1303 .004425

8.495 2.1463 . 003627

10.040 2.1597 ,003056

11.631 2.1710 . 002623

13.176 2.1808 •002281

14.764 2.1893 .002004

16,364 2.1968 . 001773

17.974 2.2035 . 001578

19.593 2.2095 . 001411

21.221 2.2149 . 001266

22,856 2.2197 .001139

24.498 2.2240 , 001027

26.147 2.2279 . 000928

27.802 2.2314 . 000839

29.463 2,2346 . 000759

31.128 2.2375 . 000686

32.798 2.2401 . 000621

34.472 2.2425 .000561

36.150 2,2446 . 000506

37. 832 2.2465 . 000456

39.517 2.2483 . 000410

41.205 2.2498 •000368

42.896 2.2512 . 000329

44.590 2.2525 . 000293

46.286 2.2536 • 000259

47. 984 2.2545 • 000228

49.634 2.2554 .000199

51.386 2.2561 . 000172

53.090 2.2568 . 000147

54.796 2.2573 . 000123

56.502 2,2577 .000101

58.210 2.2581 . 000080

57
Table 11 Continued

NF3 ISOCHORE AT

T,K P,BAR Z 230. 40B 40.364 .17558

232.000 44. 148 .19072

236.000 53.870 .22878

240.000 63.791 .26640

244.000 73.852 .30336

248.000 84.021 .33956

252.000 94.277 .37496

256.000 104.607 .40955

260.000 115.000 .44331

264.000 125.448 .47626

268.000 135.944 .50840

272.000 146.483 .53976

276.000 157.059 .57034

280.000 167.669 .60017

284.000 178.310 .62927

288.000 188.978 .65766

292.000 199.671 .68535

296.000 210.387 .71238

300.000 221.123 .73875

304.000 231.878 .76448

308.000 242.649 .78961

312.000 253.436 .81413

316.000 264.236 .83808

320.000 275.050 .86148

324.000 285.874 .88433

328.000 296.709 .90665

332.000 307.554 .92847

336.000 318.407 .94979

340.000 329.268 .97063

344.000 340.135 .99100

348.000 351.009 1.01093

12.000 MOL/L •

DP/DO OP/OT D2P/DT2

3.120 2.3546 . 032221

3.917 2.3959 . 021328

5.815 2.4590 .012081

7.683 2.4995 . 008590

9.554 2.5297 • 006682

11.435 2.5538 .005453

13.327 2.5738 .004582

15.232 2.5908 .003927

17.149 2.60 54 •003414

19.075 2.6182 .002999

21. 012 2.6295 • 002655

22.958 2.6395 •002365

24.912 2.6485 . 002118

26.874 2. 6565 . 001904

28.843 2.6637 . 001717

30.819 2. 6703 .001552

32.800 2.6762 .001405

34.787 2. 6815 . 001275

36.779 2.6864 .001157

38.775 2. 6908 . 001052

40.776 2. 6948 •000956

42.780 2.6985 • 000868

44.788 2.7018 . 000789

46.800 2. 7048 . 000716

48.614 2.7075 . 000649

50.831 2. 7100 •000587

52.851 2.7122 . 00 05 31

54.873 2. 7142 .000478

56.897 2. 7161 .000429

58.923 2.7177 .000384

60.950 2. 7191 . 000342

58
Table 11 Continued

NF3 ISOCHORE AT 13.000 MOL/L

T,K PvBAR 2 OP/OD 0P/DT D2P/DT2

227.273 36.961 .15046 6,763 2.8478 . 025811

228.000 39.038 .15840 7.229 2. 8654 .022921

230.000 44.810 .18025 8.473 2.9055 . 017674

232.000 50.654 .20200 9,686 2,9374 . 014476

234.000 56.557 .22361 10.881 2.9641 ,012295

236.000 62,508 .24504 12.067 2.9870 •01Q696

238.000 68.503 .26629 13.246 3 o 0071 ,009465

240.000 74.535 .28732 14.423 3,0250 . 008432

242.000 80.602 . 30814 15.598 3.0412 , 007676

244.000 86.699 ,326-73 16.773 3.0558 . 007000

246.000 92.824 .34910 17.947 3.0692 . 006424

248.000 98.975 .36923 19.122 3.0816 , 00 59 26

250.000 105.150 .38912 20.296 3. 0930 • 005490

252.000 111.346 .40879 21.475 3.1036 • 005105

254.000 117.563 .42821 22.653 3.1134 • 004762

256.000 123.800 ,44740 23.832 3.1226 .004455

258.000 130.054 .46636 25.012 3.1313 . 004177

260.000 136.324 •48509 26.194 3.1394 .003924

262.000 142.611 .50358 27.378 3.1470 .003694

264.000 148.912 .52185 28.562 3.1541 .003482

266.000 155.227 .53989 29. 748 3,1609 . 003288

268.000 161.555 .55771 30.936 3.1673 . 003109

270.000 167.896 ,57530 32.125 3.1734 . 002942

272.000 174.249 .59268 33. 315 3.1791 ,002788

274.000 180.612 .60964 34.506 3.1845 . 002644

276.000 186.986 .62679 35.698 3.1897 . 002509

278.000 193.371 .64353 36.892 3.1946 •002384

280.000 199.765 .66006 38. 087 3.1992 . 002266

282.000 206.167 •67638 39.283 3.2036 .002155

284.000 212.579 .69250 40.479 3.2078 . 002050

286.000 218.999 .70843 41.677 3.2118 .001952

288.000 225.426 .72416 42.876 3.2156 . 001859

290.000 231.861 .73969 44.076 3.2193 .001771

292.000 238.303 .75504 45.277 3,2227 . 001688

294.000 244.752 .77019 46.478 3. 2260 . 001609

296.000 251.207 .78516 47.681 3.2292 . 001535

298.000 257.668 .79995 48.864 3.2322 .001463

300.000 264.136 .81457 50.088 3.2350 .001396

302.000 270.609 .82900 51.293 3.2378 .001331

304.000 277.087 .84326 52.498 3.2404 .001270

306.000 283.570 .85735 53.704 3.2428 . 001211

308.000 290.058 .87127 54.911 3.2452 . 001155

310.000 296.551 .88503 56.118 3.2475 . 001102

312.000 303.048 .89862 57.326 3.2496 . 001051

314.000 309.549 .91205 58.534 3.2517 . 001002

316.000 316.054 ,92533 59.743 3.2536 . 000955

318.000 322.563 .93844 60.953 3.2555 .000910

320.000 329.076 .95141 62.162 3.2573 .000867

322.000 335.592 .96422 63.373 3.2590 • 000826

324.000 342,112 .97689 64.583 3.2606 . 000786

326.000 348.635 •98940 65.795 3.2621 ,000748

328.000 355.160 1. 00178 67.006 3.2636 . 000712

59
Table 11 Continued

NF3 ISOCHORE AT 14.000 MOL/L

T,K PfBAR Z 222.861 32.572 .12556

224.000 36.533 .14011

226.000 43.547 .16553

226.000 50.628 .19076

230.000 57.767 .21577

232.000 64.957 . 24053

234.000 72.193 .26504

236. 000 79.470 .28928

238.000 86.764 .31325

240.000 94.132 .33695

242.000 101.512 •36036

244.000 108.922 .38350

246.000 116.358 .40635

248.000 123.820 .42892

250.000 131.305 .45121

252.000 138.813 .47322

254.000 146. 341 .49496

256.000 153.889 .51642

258.000 161.455 .53761

260.000 169.039 .55853

262.000 176.639 .57919

264.000 184.254 .59958

266.000 191.884 .61972

268.000 199.528 .63960

270.000 207.186 .65922

272.000 214.855 .67860

274.000 222.537 .69773

276.000 230.230 .71662

278.000 237.934 .73527

280.000 245.648 .75369

282.000 253.372 .77187

284.000 261.105 .78983

286.000 268.847 .80756

286.000 276.597 .82507

290.000 284.355 .84236

292.000 292.121 .85944

294.000 299. 894 . 87631

296.000 307.675 .89297

298.000 315.461 .90942

300.000 323.255 .92568

302.000 331.054 .94173

304.000 338.859 .95759

306.000 346. 669 .97326

308.000 354.485 .98874

OP/DO DP/DT D2P/DT2

12.816 3.4645 . 022137

13.717 3.4883 .019766

15.267 3.5246 . 016677

16.788 3.5556 .014441

18.290 3.5827 . 012734

19.778 3.6068 . 011380

21.257 3.6284 . 010275

22.729 3.6480 .009352

24.196 3.6659 .008568

25.658 3.6824 .007892

27.118 3.6975 •007302

28.575 3. 7116 . 006782

30.031 3.7247 •006319

31.485 3. 7369 .005904

32.939 3. 7483 . 00 5530

34.392 3. 7591 . 005191

35.844 3.7691 .004882

37.296 3. 7786 .004599

38.748 3. 7875 . 004338

40.200 3.7960 .004098

41.652 3.8039 . 003876

43.104 3. 8115 .003670

44.556 3. 8186 . 003478

46.009 3.8254 .003299

47.461 3.8318 . 003131

48.914 3.8379 .002974

50.367 3. 8437 . 002827

51.820 3.8492 . 002688

53.273 3. 8545 . 002558

54.727 3.8595 . 002435

56.181 3.8642 .002318

57.635 3. 8688 . 002208

59.089 3.8731 . 002104

60.544 3. 8772 . 002005

61.999 3.8811 .001911

63.454 3. 8848 . 001821

64.909 3.8884 . 001736

66.364 3. 8918 . 001655

67.820 3.8950 .001578

69.275 3.8981 . 001504

70.731 3.9010 . 001434

72.187 3.9038 •001367

73.643 3.9065 . 001302

75.099 3.9090 .001241

60
Table 11 Continued

NF3 ISXHORE AT 15.000 MOL/L

T,K P.0AR Z 217.076 27.447 .10138

218.000 31. 365 .11536

220.000 39.894 .14540

222.000 46.438 .17513

224.000 57.141 .20454

226.000 65.847 . 23361

228.000 74.601 .26235

230.000 83.399 .29074

232.000 92.238 .31878

234.000 101.113 .34647

236.000 110.024 .37381

238.000 118.967 .40079

240.000 127.940 .42743

242.000 136.941 .45372

244.000 145.969 .47967

246.000 155.022 .50528

248.000 164.098 .53055

250.000 173.196 .55548

252.000 182.314 .58009

254.000 191.453 .60437

256.000 200.610 .62833

256.000 209.784 .65197

260.000 218.975 .67530

262.000 228.182 .69632

264.000 237.404 .72104

266.000 246.641 .74346

268.000 255.890 . 76558

270.000 265.153 .78742

272.000 274.428 .80897

274.000 283.714 .63024

276.000 293.011 .85123

276.000 302.319 .87195

280.000 311.637 .89241

282.000 320.964 .91260

284.000 330.301 .93253

286.000 339.646 .95221

286.000 348.999 .97164

290.000 358.360 .99082

OP/00 OP/DT D2P/DT2

22.066 4.2287 .019869

22.963 4. 2465 .018627

24. 879 4.2814 . 016404

26.766 4.3124 •014642

28.632 4.3402 . 013205

30.482 4.3654 . 012006

32.319 4.3833 .010988

34.145 4.4094 • 010110

35.962 4.4289 .009344

37. 772 4.4469 .008669

39.576 4.4636 . 008069

41.375 4.4792 .007532

43.170 4.4937 .007047

44.961 4.5074 . 006608

46.749 4.5202 .006208

48.533 4.5322 . 00 5841

50.316 4.5436 .005505

52.096 4.5543 . 005195

53.874 4. 5644 •004908

55.650 4.5739 . 004641

57.425 4.5830 .004394

59.199 4.5915 •004163

60.971 4.5996 . 033947

62.741 4.6073 . 003745

64.511 4.6146 .003555

66.280 4.6215 .003377

68.047 4.6281 . 00 3209

69.814 4.6344 .003050

71.580 4.6403 . 002901

73.345 4.6460 . 002759

75.110 4.6514 .002626

76. 873 4.6565 . 00 2499

78.636 4.6614 . 002378

80.398 4.6660 • 002264

82.160 4.6704 .002155

83.921 4.6746 . 002051

85.681 4.6786 . 001953

87.440 4.6824 . 001859
Table 11 Continued

NF3 ISOCHORE AT 16.000 MOL/L

T,K P,BAR Z 209.872 21.943 .07859

210.000 22.605 .08091

212.000 32.981 .11694

214.000 43.424 .15253

216.000 53.927 .18767

218.000 64.485 .22235

220.000 75.093 . 25658

222.000 85.747 .29034

224.000 96.445 .32365

226.000 107.183 .35650

226.000 117.958 .38890

230.000 128.769 .42085

232.000 139.612 .45235

234.000 150.485 .48342

236.000 161.388 .51405

238.000 172.318 .54425

240.000 183.273 .57403

242.000 194.253 .60339

244.000 205.255 .63234

246.000 216.279 .66088

246.000 227.323 .68903

250.000 238.387 .71678

252.000 249.469 • 74415

254.000 260.568 .77114

256.000 271.684 .79775

256.000 282.815 .82400

260.000 293.961 .84989

262.000 305.121 .87542

264.000 316.295 .90060

266.000 327.481 .92544

268.000 338.679 .94994

270.000 349.888 .97411

DP/OD OP/DT 02P/0T2

35.358 5.1684 .018399

35.510 5.1707 . 018273

37.859 5.2054 .016478

40.179 5.2368 . 014977

42.476 5.2655 .013700

44.754 5.2918 . 012597

47.015 5,3160 . 011633

49.263 5,3384 . 010783

51.499 5.3592 . 010026

53.724 5.3785 .009348

55.941 5. 3966 . 008737

58.150 5.4135 .008182

60.351 5.4294 . 007677

62.546 5.4442 .007215

64. 736 5.4582 . 006790

66.920 5.4714 . 006398

69.099 5.4839 . 006036

71.274 5.4956 .005700

73.446 5.5067 .005387

75.613 5,5172 . 005096

77.777 5.5271 .004824

79.938 5.5365 . 004569

82.096 5.5454 .004330

84.251 5.5538 . 004106

86.403 5.5618 . 003894

86.553 5.5694 . 003695

90.700 5,5766 .003507

92.846 5.5834 •003330

94.989 5.5899 . 003162

97.129 5.5961 . 003002

99.268 5.6019 . 002851

101.405 5.6075 .002708

62
Table 11 Continued

NF3 ISOCHORE AT 17.000 HOL/L

T,K P*BAR Z 201.249 16.476 .05792

202.000 21.226 .07434

204.000 33.920 .11764

206.000 46.676 .16030

208.000 59.489 .20234

210.000 72.356 .24376

212.000 85.271 .28457

214.000 98.232 .32476

216.000 111.236 .36434

218.000 124.280 .40333

220.000 137.361 .44173

222.000 150.478 .47955

224.000 163.627 .51680

226.000 1 76. 807 .55349

228.000 190.017 .58962

230.000 203.254 .62521

232.000 216.516 .66026

234.000 229.804 .69479

236.000 243.114 .72881

238.000 256.447 .76232

240.000 269.799 .79533

242.000 283.172 .82785

244.000 296.563 .85989

246.000 309.971 .89146

248.000 323.396 .92257

250.000 336.837 .95322

252.000 350.292 .98343

OP/00 OP/OT 02P/0T2

53.597 6.3179 . 017416

54.669 6.3307 . 016850

57.503 6.3630 • 015480

60.312 6.3928 .014282

63.098 6.4203 . 013223

65.865 6.4457 .012279

68.615 6.4694 . 011433

71.350 6.4915 .010669

74.072 6.5122 . 009976

76.782 6.5315 . 009344

79.480 6.5496 .008766

82.169 6.5666 . 008234

84.849 6.5825 . 007744

87.520 6.5976 . 007291

90.133 6.6117 . 006871

92.840 6.6251 .006481

95.490 6.6377 .006117

98.133 6.6496 . 005777

100.771 6.6608 . 005459

103.403 6.6714 . 005161

106.030 6.6814 . 004881

108.652 6.6909 . 004618

111.270 6.6999 • 004370

113.883 6.7084 . 004137

116.492 6.7165 . 003916

119.097 6.7241 . 003707

121.697 6. 7313 .003509

63
Table 11 Continued

NF3 ISOCHORE AT 18.000 MOL/L

T,K P.8AR Z 191.243 11.458 .04003

192.000 17.310 .06024

193.000 25. 051 .08673

194.000 32.806 .11299

199.000 40.577 .13904

196.000 48.363 .16487

197.000 56.162 .19049

198.000 63.975 .21589

199.000 71. 801 .24108

200.000 79.639 .26607

201.000 87.490 .29084

202.000 95.352 .31541

203.000 103.226 .33977

204.000 111.111 .36393

205.000 119.006 .38789

206.000 126.912 .41165

207.000 134.828 .43521

208.000 142.753 .45858

209.000 150.687 .48175

210.000 158.631 .50473

211.000 166.584 .52752

212.000 174.545 .55013

213.000 182.514 .57254

214.000 190.491 .59477

215.000 198.476 .61682

216.000 206.468 .63869

217.000 214.468 .66038

218.000 222.475 .68189

219.000 230.488 .70323

220.000 238.509 .72439

221.000 246.536 . 74538

222.000 254.569 .76620

223.000 262.608 .78685

224.000 270.653 .80734

225.000 278. 704 . 82766

226.000 286.760 .84782

227.000 294. 822 .86781

228.000 302.889 .88765

229.000 310.961 .90732

230.000 319.038 .92684

231.000 327.120 .94621

232.000 335.207 .96542

233.000 343.298 .98448

234.000 351.394 1.00339

235.000 359.493 1.02215

DP/OD OP/DT 02P/DT2

77.762 7.7196 . 016749

79.065 7.7321 .016261

80.780 7.7481 .015648

82. 487 7.7634 . 015068

84.189 7.7782 . 014519

85.884 7.7925 .013999

87.573 7.8062 . 013504

89.257 7. 8195 . 013033

90.936 7. 8323 .012585

92.610 7. 8447 . 012157

94.280 7.8566 .011749

95.945 7. 8682 . 011359

97.606 7. 8793 . 010986

99.263 7.8901 . 010629

100.916 7. 9006 .010287

102.565 7.9107 .009958

104.211 7.9205 .009643

105.853 7. 9300 .009340

107.493 7.9392 . 00 9049

109.129 7.9481 .008769

110.762 7, 9567 . 008500

112.392 7. 9651 . 008240

114.019 7. 9732 • 007990

115.644 7. 9811 . 007749

117.265 7.9887 .007516

118.885 7.9961 . 007291

120.502 8.0033 .007074

122.116 8. 0103 . 006865

123.728 8.0170 .006662

125.338 8.0236 . 006466

126.946 8. 0300 . 006276

128.552 8. 0362 . 006092

130.156 8.0422 . 005914

131.757 8.0480 .005741

133.357 8.0536 . 005574

134.954 8.0591 . 005412

136.550 8.0645 . 005255

138.144 8.0696 .005102

139.737 8.0747 .004954

141.327 8.0796 . 004811

142.916 8.0843 . 004671

144.503 8.0889 .004535

146.089 8.0934 •004403

147.673 8.0977 . 004275

149.255 8.1019 .004150

64
Table 11 Conti nued

NF3 ISOCHORE AT 19,000 MOL/L

Tf K P.BAR Z 179.919 7.236 ,02546

ISO. 000 7.996 .02312

181.000 17.433 .06097

162.000 26. 886 .09351

133.000 36.353 .12 5.75 184.000 45.836 .15769

185.000 55.332 .18933

186.000 64.842 .22067

187.000 74.365 .25173

188.000 83.900 .28250

189.000 93.448 .31298

190.000 103.008 .34318

191.000 112,579 .37311

192.000 122.161 .40276

193.000 131.754 ,43213

194.000 141.357 .46124

195.000 1 50.971 .49008

196.000 160.594 .51866

197.000 170.226 •54698

198.000 179.867 .57504

199.000 189.517 •60285

200.000 199.176 •63040

201.000 208.843 .65771

202.000 218.518 .68477

203.000 228.200 .71159

204.000 237.890 ,73817

205.000 247.587 .76451

206.000 257,292 .79062

207.000 267.003 .81650

208.000 276,720 . 84215

209.000 286.444 .86757

210.000 296.174 .89277

211.000 305.910 .91775

212.000 315.652 .94250

213.000 325.400 ,96705

214.000 335.153 .99138

215.000 344.911 1. 01550

216.000 354.674 1.03941

DP/DD OP/OT D2P/0T2

108.950 9.42 75 . 016303

109.117 9.4289 .016255

111.190 9.4448 . 015666

113.257 9.4602 . 015106

115.316 9.4750 . 014572

117.369 9.4894 .014062

119.415 9.5032 .013574

121.456 9.5165 . 013108

123.491 9.5294 . 012662

125.520 9.5418 . 012234

127.544 9.5539 .011824

129.563 9.5655 • 011430

131.578 9.5767 . 011052

133.587 9,5876 . 010689

135.592 9.5981 .010339

137.593 9.6083 •010003

139,590 9.6181 . 009679

141.582 9.6276 . 009367

143.571 9.6369 . 009067

145.556 9.6458 .008777

147,537 9.6544 • 008497

149.514 9.6628 .008227

151.488 9.6709 • 007966

153.459 9.6787 .007713

155.426 9.6863 , 007470

157.391 9,6937 . 007234

159.352 9.7008 .007006

161.310 9.7077 .006785

163.265 9.7143 .006571

165,218 9,7208 •006364

167.167 9.7271 . 006163

169.114 9.7331 . 005968

171.058 9.7390 . 005779

173,000 9.7447 , 005596

174.939 9. 7502 , 005419

176.875 9.7555 . 005246

178, 809 9.7607 .005079

180.741 9.7657 •004916

65
Table 11 Continued

NF3 ISXHORE AT 20.000 MOL/L

T,K

167.370

166.000

169.000

170.000

171.000

172.000

173.000

174.000

175.000

176.000

177.000

178.000

179.000

180.000

181.000

182.000

183.000

184.000

185.000

186.000

167.000

188.000

139.000

190.000

191.000

192.000

193.000

194.000

195.000

196.000

197.000

P,BAR

4.030

11.288

22.818

34.363

45.922

57.496

69.083

80.683

92.295

103.920

115.556

127.204

136.863

150.532

162.211

173.900

185.599

197.307

209.024

220.749

232.482

244.224

255.973

267.729

279.493

291.264

303.041

314.824

326.614

338.410

350.211

Z .01448

.04041

.08119

.12156

.16150

. 20102

.24014

.27885

.31716

. 35507

.39260

.42975

.46652

.50291

.53893

.57460

.60990

. 64485

.67945

.71371

. 74762

.78120

.81445

.84738

.87998

.91226

.94423

.97589

1.00724

1.03830

1.06905

DP/DO

148.469

150.050

152.553

155.049

157.537

160.019

162.494

164.962

167.424

169.881

172.331

174.776

177.215

179.649

182.078

184.502

186.921

189.336

191.746

194.151

196.553

198.950

201.343

203.731

206.116

208.497

210.875

213.249

215.619

217.986

220.349

OP/DT

11.5120

11.5220

11.5373

11.5522

11. 5665

11.5802

11.5935

11. 60 63

11.6187

11.6306

11.6422

11.6533

11.6640

11. 6744

11.6844

11. 6940

11. 7033

11.7123

11. 7210

11. 72 9 4

11.7375

11. 7453

11. 7528

11.7601

11. 7671

11. 7739

11. 7804

11.7867

11. 7928

11. 7987

11.8043

02P/OT2

. 016029

.015659

.015092

.014549

. 014029

. 013530

. 013051

.012591

. 012149

. 011723

. 011314

. 010921

.010541

.010176

.009823

.009483

.009155

• 008838

. 008532

.008236

.007950

.007673

•007406

.007147

. 006896

•006653

. 0 0 641

7

• 006189

. 005968

.005754

•005546

66
Table 11 Continued

NF3 ISOCHORE AT 21«000 MOL/L

T,K P,BAR Z OP/OD DP/OT 02P/0T2

153.700 1.894 .00706 198.018 14.0671 .015907

154.000 6. 117 .02275 198.935 14. 0719 .015720

155.000 20.196 .07463 201.933 14.0873 .015114

156.000 34.291 .12589 205.024 14.1021 .014532

157.000 48.400 . 17656 206.056 14.1163 .013974

158.000 62.524 •22664 211.080 14.1300 . 013437

159.000 76.660 .27613 214.096 14.1432 . 012921

160.000 90.810 .32506 217.105 14.1559 .012425

161.000 104.972 . 37342 220.106 14.1681 . 011947

162.000 119.146 .421'22 223.101 14.1798 . 011488

163.000 133.331 .46848 226.089 14.1911 .011045

164.000 147.528 .51520 229.070 14.2019 •010618

165.000 161. 735 .56139 232.044 14.2123 .010206

166.000 175.952 .60706 235.012 14.2223 .009809

167.000 190.180 .65222 237.975 14.2319 .009426

168.000 204.416 .69687 240.931 14.2412 .009056

169.000 218.662 .74102 243.881 14.2500 . 008699

170.000 232.916 .78468 246.826 14.2586 .008354

171.000 247.179 .82787 249.765 14.2668 . 008020

172.000 261.449 .87057 252.698 14.2746 . 007696

173.000 2 75.728 .91281 255.627 14.2822 .007386

174.000 290.014 .95458 258.550 14. 2894 .007084

175.000 304.307 .99590 261.468 14.2963 .006792

176.000 318.606 1.03678 264.381 14.3030 .006509

177.000 332.912 1.07721 267.290 14.3093 .006236

178.000 347.225 1.11721 270.193 14.3154 . 00 5970

NF3 ISOCHORE AT 22.000 HOL/L

T,K P,BAR 2 DP/OD OP/OT 02P/0T2

139.023 .700 .00275 260.017 17.2235 . 015949

140.000 17.541 • 06650 263.681 17.2387 . 015272

141.000 34.787 .13488 267.421 17.2536 • 014608

142.000 52.048 .20038 271.151 17.2679 . 013970

143.000 69.323 .26502 274.871 17.2816 • 013356

144.000 86.611 .32882 278.502 17.2947 .012767

145.000 103.912 .39178 282.284 17.3071 • 012200

146.000 121.225 .45392 285.976 17.3191 . 011654

147.000 138.550 .51526 289.661 17.3305 .011129

148.000 155.886 .57582 293.336 17.3413 . 010623

149.000 173.232 .63560 297.004 17.3517 . 010135

150.000 190.589 .69462 300.663 17.3616 . 009666

151.000 207.955 ,75290 304.315 17.3710 . 009213

152.000 225-331 • 81 0 44 307.959 17.3800 .008776

153.000 242. 715 .86726 311.596 1 7.3886 . 008354

154.000 260.106 .92337 315.225 17.3967 .007947

155.000 277.509 .97878 318.848 17.4045 .007554

156.000 294.917 1.03351 322.463 17.4119 . 007174

157.000 312.332 1.08757 326. 071 1 7.4188 . 006807

158.000 329.754 1.14097 329.673 17.4255 .006453

159.000 347.183 1.19372 333.268 17.4318 . 006110

67
Table 11 . Continued

.

NF3 ISOCHORE AT 23.000 MOL/L

T.K P,BAR Z DP/OD OP/OT D2P/DT2

123.448 . 182 .00077 338.197 21.1699 . 016196

124.000 11.861 .05002 340.779 21.1787 .015729

125.000 33.046 .13825 345.451 21.1940 . 014908

126.000 54.249 .22514 350.109 21.2085 . 014121

127.000 75.465 .31072 354.755 21.2223 .013365

126.000 96.693 .39502 359.389 21.2353 .012640

129.000 117.935 .47807 364.012 21.2475 .011944

1 30.000 139.188 .55988 368.622 21.2592 .011276

131.000 160.453 .64049 373.222 21.2701 .010633

132.000 181.728 .71992 377.810 21.2804 • 010015

133.000 203.014 .79820 382.388 21.2901 .009420

134.000 224.308 .87534 386.956 21.2993 .008848

135.000 245.612 .95138 391.513 21.3078 . 008298

136.000 266.924 1. 02632 396.060 21.3159 • 007768

137.000 288.244 1.10021 400.597 21.3234 .007257

138.000 309.571 1.17305 405.124 21.3304 .006765

139.000 330.904 1.24487 409.642 21.3369 « 006290

1 40 . 0 0 0 352.244 1.31568 414.151 21.3430 .005833

NF3 IS OCHORE AT 24.000 MOL/L

T.K P.BAR Z OP/DD OP/OT 02P/0T2

107.074 .027 .00013 438.669 26.1953 .016748

108.000 24.303 .11277 444.203 26.2103 . 015713

109. OOG 50.521 .23227 450.159 26.2255 .014644

110.000 76. 753 .34967 456.097 26.2396 .013621

111.000 103.000 .46501 462.019 26.2527 •012643

112.000 129.259 .57835 467.923 26.2649 . 011707

113.000 155.529 .68974 473.812 26.2762 .010811

114.000 181.811 .79922 479.684 26.2866 . 009953

115.000 208.102 .90684 485.542 26.2961 . 009130

116.000 234.403 1.01264 491.383 26.3048 .008342

117.000 2 60. 711 1.11667 497.211 26. 3128 . 007586

118.000 287.028 1.21897 503.023 26.3200 . 006860

119.000 313.351 1.31958 508. 821 26.3265 •006164

120.000 339.681 1.41854 514.606 26.3323 .005496

68
Table 11 Conti nued

NFS ISOCHORE AT 25.000 HOL/L

T.K P«BAR Z 89.971 .002 .00001

90.000 ,959 •00513

91.000 33.744 .17840

92.000 66.546 .34798

93.000 99.361 .51399

94.000 132.190 .67654

95.000 165.030 .83573

96.000 197.881 .99165

97.000 230.741 1.14440

96.000 263.608 1.29407

99.000 296.483 1.44075

100.000 329.362 1.58452

NFS ISOCHORE AT

T.K P.BAR Z 72.183 .000 .00000

73.000 34.139 .21633

74.000 75.945 .47474

75.000 117.766 .72635

76.000 159.599 .97142

77.000 201.442 1. 21018

78.000 243.293 1.44287

79.000 285.150 1.66969

80.000 327.010 1.89087

OP/00 OP/DT D2P/DT2

571,934 32. 7759 . 017810

572.165 32. 7765 .017761

580.059 32. 7934 . 016110

587.925 32.8087 . 014542

595.764 32. 8225 .013051

603.578 32.8348 . 011633

611.365 32.8458 . 010283

619.128 32. 8554 . 008999

626.867 32.8638 .007775

634.582 32.8710 . 006608

642.273 32.8770 .005496

649.942 32. 8820 .004435

26.000 MOL/L

OP/OD DP/OT D2P/0T2

757.199 41. 7825 . 019864

766.216 41. 7978 .017536

777.209 41.8140 . 014839

788.154 41. 8275 . 012301

799.053 41. 8386 . 00 9911

809.906 41.6474 . 007658

820.716 41.8540 .005534

831.482 41. 8585 . 00 35 30

842.206 41.8611 .001638

69
TABLE 12. Calculated P(p) Isotherms

The follov/ing pages give P(p) isotherms, as computed by the equation of

state (6). The third column DP/DD is the isotherm slope (9P/9p) in units of the

bar and mol/L. The last tv/o columns give the isochore slopes and curvatures,

DP/DT 5 (9P/9T), D2P/DT2 E (92p/9t2) in units of the bar and kelvins.

These tables show that 9P/9p is non-negative, and that it increases

monotonically with density.

70
MOL/L

.000

25.565

25.580

25.600

25.620

25.640

25.660

25.680

25.700

25.720

25,740

25.760

25.780

25.800

25.820

25.840

25.860

25.880

25.900

25.920

25.940

25.960

25,980

26.000

26.020

26.040

26.060

26.080

Table 12. Calculated P(p) Isotherms.

NFS ISOTHERM AT

P,BAR

.0 00

.000

9.943

23.490

37.182

51.021

65.008

79.145

93.431

107. 873

122,468

137.220

152,129

167.197

182.426

197.818

213.373

229.095

244.984

261.043

277.273

293.676

310.254

327. 010

343.943

361.058

378.355

395.837

Z .99997

.00000

. 05844

.13795

.21818

.299J.6

.38088

.46334

.54655

.63054

.71530

.80084

,88716

.97428

1.06220

1.15092

1.24047

1.33084

1.42204

1.51409

1.60698

1.70074

1.79537

1.89087

1.98725

2. 08454

2.18273

2.28183

80.00

OP/DO

6.651

668.426

673.736

680.965

688.267

695.642

703.091

710.616

718.216

725.895

733.653

741.490

749.408

757.409

765.493

773,661

781.915

790.256

798.686

807.205

815.815

824.518

833.314

842.206

851.195

860.281

869.467

878. 755

K

OP/OT

.0000

37.4843

37.6250

37.8157

38.0075

38.2003

38.3941

38.5891

38.7850

38.9821

39.1803

39.3795

39.5799

39.7814

39.9841

40.1879

40.3928

40. 5990

40.8063

41.0148

41.2245

41.4355

41. 6477

41.8611

42.0758

42.2918

42.5090

42. 7276

02P/OT2

-.000000

. 018796

. 018230

.017465

. 016698

. 015929

. 015158

.014385

.013610

. 012833

. 012053

. 011270

.010485

. 009697

. 008906

. 008112

.007315

. 006515

. 005711

. 004904

. 004093

.003279

. 002460

.001638

. 000811

-.000019

“. 000854

", 001693

71
Table 12 Continued

NF3 ISOTHERH AT 100.00 K MOL/L

. 001

24.419

24.420

24. 440

24.460

24.480

24.600

24.520

24.540

24.560

24.580

24.600

24.620

24.640

24.660

24.680

24.700

24.720

24.740

24.760

24.780

24.000

24.820

24.840

24.860

24.880

24.900

24.920

24.940

24.960

24.980

25.000

25.020

25.040

25.060

25.080

25.100

P,BAR

.009

.009

.702

10.551

20.497

30.542

40.688

50.934

61.281

71.731

82.284

92.941

103.703

114.571

125.545

136.627

147.818

159.118

170.529

182.051

193.685

205.433

217.294

229.272

241.365

253.576

265.905

278.353

290.922

303.613

316.425

329.362

342.424

355.611

368.925

382.368

395.940

Z •99904

.00005

.00346

.05192

.10079

•15006

.19974

.24983

.30034

.35127

.40262

.45440

.50660

.55924

.61231

.66582

.71977

.77417

.82901

.88431

.94007

.99628

1.05296

1.11010

1.16772

1.22580

1.28437

1.34342

1.40296

1.46298

1.52350

1.58452

1.64604

1.70807

1.77060

1.83366

1.89723

OP/DO

8.299

489.627

489.972

494.861

499.791

504.762

509.774

514.827

519.923

525.061

530.243

535.468

540.737

546.050

551.409

556.814

562.264

567. 761

573.306

578.898

584.539

590.228

595.967

601.756

607.596

613.486

619.429

625.424

631.473

637.574

643.731

649.942

656.209

662.533

668.913

675.352

681.348

DP/OT

• 0001

28.7231

28.7325

28.8666

29.0013

29.1366

29.2725

29.4090

29.5462

29.6839

29.8223

29.9613

30.1009

30.2412

30.3821

30.5237

30. 6659

30.8088

30.9523

31.0966

31.2415

31.3871

31.5333

31. 6803

31.8280

31.9764

32. 1255

32.2754

32.4259

32.5772

32.7292

32. 8820

33.0355

33.1898

33.3449

33.5007

33.6573

02P/DT2

*• 000000

. 017112

. 017082

. 016649

. 016217

.015785

. 015354

.014922

. 014490

•014059

. 013627

. 013195

. 012763

• 012330

.011897

• 011464

.011030

. 010596

.010161

. 009726

. 009290

. 008853

• 008416

.007978

. 007538

. 007098

.006657

•006215

. 005772

.005328

. 004882

. 004435

.003987

. 003538

• 003087

.002635

.002181

72
Table 12. Continued

NF3 ISOTHERM AT 120.00 K MOL/L

.013

23.215

23.240

23.280

23.320

23.360

23.400

23.440

23.480

23.520

23.560

23.600

23.640

23.680

23.720

23.760

23.800

23.840

23.880

23.920

23.960

24.000

24.040

24.080

P,BAR

. 128

.127

9.291

23.911

38.815

54.004

69.485

85.261

101.336

117.715

134.402

151.402

168.719

186.359

204.326

222.625

241.261

260.239

279.565

299.243

319.280

339.681

360.451

381.596

Z .99219

.00055

.04007

.10295

.16682

.23171

.29762

.36456

.43256

.50162

.57176

.64299

.71532

.78877

.86336

.93910

1.01600

1.09408

1.17336

1.25385

1.33557

1.41854

1.50277

1.58829

DP/00

9.823

357.601

362.014

369.028

376.143

383.362

390.685

398.116

405,655

413.306

421.070

428.950

436.947

445.064

453.303

461.667

470.157

478. 778

487.530

496.417

505.441

514.606

523.913

533.367

OP/OT

« 0011

22,1445

22.2703

22.4691

22. 6694

22.8712

23.0746

23.2797

23.4863

23.6947

23. 5046

24.1163

24.3297

24.5449

24.7619

24.9806

25.2012

25.4236

25.6479

25. 8741

26. 1022

26.3323

26.5644

26. 7986

02P/DT2

,000000

. 016284

.015924

. 015361

. 014801

. 014244

. 013689

.013137

. 012587

. 012038

. 011491

.010945

. 010400

. 009856

. 009312

. 008768

.008224

. 007680

. 007136

.006590

.006044

. 005496

. 004947

. 004396

73
Table 12. Continued

NF3 ISOTHERM AT 140.00 K MOL/L

.040

.067

21.935

21.960

22.000

22.040

22.080

22.120

22.160

22.200

22.240

22.280

22.320

22.360

22.400

22.440

22.480

22.520

22.560

22.600

22.640

22.680

22.720

22.760

22.800

22.840

22.880

22.920

22.960

23.000

23.040

23.080

P.BAR

.457

.754

.754

7.095

17.541

28.190

39.045

50.108

61.382

72. 869

84.574

96.498

108.644

121.016

133.616

146.448

159.514

172.818

186.364

200.153

214. 190

228.479

243.021

257.822

272.884

288.211

303.807

319.675

335.820

352.244

368.953

385.950

Z .98179

.97015

. 00295

.02775

. 06850

. 10988

.15191

.19461

.23796

.28199

.32669

.37208

.41817

.46495

.51245

.56065

.60959

.65926

.70967

.76083

.81275

.86544

.91891

.97316

1. 02820

1.08405

1.14071

1.19820

1.25652

1.31568

1.37570

1.43658

DP/00

11.224

10.957

255.568

258.642

263.681

268.787

273.959

279.200

284.510

289.891

295.343

300.867

306.466

312.139

317. 888

323.715

329.620

335.605

341.671

347.820

354.052

360.370

366. 774

373.266

379.848

386.520

393.285

400.145

407.099

414. 151

421.302

428.554

DP/DT

.0034

. 0057

16.9979

17.0894

17.2387

17.3890

17.5404

17.6928

17.8462

18.0008

18.1565

18.3132

18.4711

18.6302

18. 7904

18.9517

19.1143

19.2781

19.4431

19.6093

19.7768

19.9455

20.1155

20.2868

20. 4595

20.6335

20.8088

20.9855

21.1635

21.3430

21.5239

21. 7062

D2P/0T2

000001

-. 000003

. 015940

.015684

. 015272

. 014865

. 014461

. 014062

.013666

. 013273

.012884

. 012497

.012113

. 011732

.011353

. 010976

. 010601

.010228

. 009856

.009486

.009118

.008750

. 008383

.008018

. 007653

.007288

. 00 69 24

. 006560

. 006197

. 005833

.005469

. 005105

74
Table 12 Conti nued

NFS ISOTHERM AT 160.00 K MOL/L P,BAR Z

.040 .524 .98538

.080 1.034 .97180

.120 1.530 .95860

.160 2.013 .94560

.200 2.462 .93272

.222 2.730 .92578

20.549 2.730 .00999

20.560 4.697 .01717

20.600 11.779 .04296

20.640 19.005 .06922

20.660 26.377 .09588

20.720 33.895 .12297

20.760 41.563 .15050

20.800 49.382 .17846

20.840 57.354 .20668

20.680 65.481 .23574

20.920 73.764 .26505

20.960 82. 207 .29482

21.000 90.810 .32506

21.040 99.576 .35576

21.060 108.507 .38693

21.120 117.605 .41858

21.160 126.872 .45070

21.200 136.310 .48332

21.240 145.921 .51643

21.280 155.709 .55003

21.320 165.674 .58413

21.360 175.819 .61874

21.400 186.147 .65386

21.440 196.659 .68950

21.480 207.359 . 72566

21.520 218.248 .76234

21.560 229.329 .79956

21.600 240.604 .83732

21.640 252.076 .87563

21.680 263.748 .91448

21.720 275.622 .95389

21.760 287.700 .99386

21.600 299.986 1.03440

21.840 312.482 1.07551

21.880 325.190 1.11721

21.920 338.113 1.15949

21.960 351.255 1.20236

22.000 364.618 1.24583

22.040 378.205 1.26991

22.060 392. 018 1.33460

OP/DO OP/OT 02P/DT2

12.924 • 0034 ». 000000

12.573 • 0068 -.000002

12.230 • 0103 -.000005

11.892 .0139 -• 000010

11.554 .0176 -.000019

11.371 .0197 -. 000026

174.284 12.8465 .015943

175.280 12. 8800 • 015848

178.849 12.9923 . 015514

182.462 13.1053 . 015186

186.121 13.2191 .014862

189.827 13.3335 . 014543

193.578 13.4487 . 014229

197.377 13.5647 .013919

201.224 13.6814 • 013613

205.120 13.7988 •013311

209.065 13.9171 . 013012

213. 060 14.0361 . 012717

217.105 14.1559 . 012425

221. 201 14.2765 . 012136

225.350 14.3979 . 011850

229.551 14.5202 . 011567

233.805 14.6432 .011287

238.113 14.7672 •011009

242.476 14.8919 .010733

246. 895 15.0175 • 010459

251. 370 15.1440 . 010188

255.902 15.2714 .009918

260.492 15.3997 •009650

265.140 15.5289 •009384

269. 848 15.6589 . 009120

274.616 15. 7899 . 008857

279.445 15.9219 •008595

284.337 16.0548 .008335

289.291 16.1886 . 008076

294.308 16.3234 . 007817

299.391 16.4591 .007560

304.539 16.5959 .007304

309.753 16.7336 . 037048

315.035 16. 8724 . 006793

320.385 17. 0122 . 006539

325.805 17.1530 . 006285

331.295 17.2948 .006032

336.857 17.4377 . 005779

342.491 17.5817 . 005526

348.198 17. 7267 . 005273

75
Table 12 Conti nued

MOL/L

.080

.160

.240

.320

.400

.460

.560

.567

18.993

19.040

19.120

19. 200

19.280

19.360

19.440

19.520

19.600

19.680

19.760

19.840

19.920

20.000

20.080

20.160

20.240

20.320

20.400

20.480

20.560

20.640

20.720

20.800

20.860

20.960

21.040

NF3 ISOTHERM AT 180.00 K P,BAR Z 1.170 .97695

2.289 .95599

3.361 .93577

4.387 .91594

5.366 .89634

6.299 .87686

7.186 . 85743

7.261 .85575

7.261 .02554

12.409 .04355

21.528 .07523

31.045 .10804

40.971 .14199

51.317 .17711

62.093 .21342

73. 311 .25095

84.981 .28970

97.115 .32972

109.725 .37103

122. 823 . 41364

136.421 .45760

150.532 .50291

165.169 .54961

180.345 .59773

196.074 .64729

212.370 .69833

229.246 .75087

246.718 •80494

264. 801 .86057

283.509 .91780

302.858 .97665

322.865 1.03717

343.546 1.09937

364.917 1.16331

386. 997 1.22900

OP/OD OP/DT

14.299 • 0068

13.694 • 0138

13.107 • 0210

12.529 .0286

11.954 .0365

11.377 • 0448

10.797 .0535

10.747 .0543

108.713 9.4148

111.531 9.5122

116.453 9.6803

121.501 9.8504

126.679 10. 0226

131.990 10.1969

137.436 10.3734

143.022 10.5522

148.751 10.7332

154.625 10.9165

160.648 11.1023

166.825 11.2905

173.157 11.4811

179.649 11. 6744

186.305 11.8702

193.129 12.0687

200.125 12.2699

207.296 12.4738

214.647 12.6806

222.183 12. 8902

229.907 1 3.1028

237.826 13.3184

245.942 13.5370

254.262 13. 7587

262.791 13. 9835

271.534 14.2116

280.495 14.4430

02P/0T2

-.000001

000004

-• 000012

000025

-.000047

-.000081

-. 000135

-.000141

. 016306

.015956

.015378

.014824

.014291

.013778

. 013282

.012802

. 012336

. 011882

.011441

. 011010

•010589

.010176

.009771

.009373

.008981

. 008595

•008214

. 007837

. 00 7465

.007096

•006729

•006366

. 006004

. 005644

• 005285

76
Table 12 Continued

NF3 ISOTHERM AT 200.00 K MOL/L

.160

.320

.480

.640

.600

.960

1.120

1.259

17.133

17.280

17.440

17.600

17.760

17.920

18.080

18.240

16.400

18.560

18.720

18.860

19.040

19.200

19.360

19.520

19.680

19.640

20.000

P,BAR

2.564

4.955

7.184

9.253

11.164

12.919

14.517

15.776

15.776

24.487

34.874

46.280

58.763

72.383

. 87.204

103.290

120.710

139.536

159.843

181.707

205.210

230.436

257.475

266.416

317.358

350.401

385.648

Z .96361

.93120

.90001

.86943

.83921

.80924

.77947

.75380

.05537

.08522

. 12025

.15813

.19897

.24290

.29005

.34054

.39451

.45211

.51348

.57877

•64813

.72174

.79977

.88237

.96975

1.06208

1.15957

DP/00

15.467

14.432

13.426

12.438

11.454

10.477

9.505

8.666

56.440

61.648

68.044

74.592

81.509

88.810

96.513

104.636

113.195

122.210

131.700

141.686

152.190

163.233

174.839

187.034

199.843

213.295

227.419

OP/OT

.0137

.0283

. 0438

. 0603

.0779

.0968

.1169

.1357

6.4833

6. 7065

6.9487

7.1968

7.4510

7.7118

7. 9793

8.2538

8.5357

8.8252

9.1226

9.4281

9.7421

10.0648

10.3965

10. 7376

11.0883

11.4491

11.8201

02P/DT2

-.000003

000013

000035

-. 000073

-.000135

-. 000233

000389

-. 000612

.017312

• 016211

.015149

. 014196

. 013330

.012534

. 011794

.011100

•010444

. 009820

. 009223

.008647

. 008088

.007545

. 007013

. 006491

. 005975

.005465

. 004958

77
Table 12 Continued

NF3 ISOTHERM AT 220.00 K MOL/L P.BAR

.160 2.837

.320 5.518

.480 8.054

.640 10.447

.800 12. 702

.960 14.819

1.120 16.800

1.280 18.649

1.440 20.367

1.600 21.957

1.760 23.423

1.920 24.767

2.080 25.994

2.240 27.108

2.400 28. Ill

2.960 29.009

2.720 29.804

2.753 29.954

14.525 29.954

14.560 30.570

14.720 33.600

14. 880 37.034

15.040 40.903

15.200 45.237

15.360 50.069

15.520 55.434

15.680 61. 367

15.840 67.907

16.000 75.093

16.160 82.966

16.320 91.569

16.480 100.948

16.640 111.148

16.800 122.220

16.960 134.213

17.120 147.181

17.280 161.179

17.440 176.263

17.600 192.495

17.760 209.937

17.920 228.652

18.080 248.709

18.240 270.178

18.400 293.132

18.560 317.647

18.720 343.803

18.880 371.682

Z OP/00

.96949 17.226

.94275 16.295

.91725 15.400

.89240 14.523

.66798 13.659

.84387 12.806

•82005 11.967

.79649 11.142

.77321 10.335

.75022 9.546

.72755 8.778

.70520 8.033

.68321 7. 310

.66158 6.612

.64034 5.938

.61949 5.287

.59903 4.65 8

.59491 4.532

.11274 17.219

.11478 17.733

.12479 20.172

.13606 22.791

.14868 25.599

.16270 26.609

.17620 31.828

.19526 35.268

.21396 36.938

.23437 42.851

.25658 47.015

.28067 51.443

. 30674 56. 146

.33487 61.135

.36517 66.423

.39772 72.023

.43262 77.947

.46999 84.209

.50992 90.822

.55253 97.802

.59793 105.163

.64623 112.921

.69756 121.093

.75203 129.694

.80978 138.744

. 87094 148.260

.93564 158.262

1.00403 168.771

1.07625 179.808

OP/DT 02P/0T2

.0137 -. 000002

• 0281 -.000008

.0432 -.000021

.0592 -. 000041

.0760 -.000070

.0936 -. 000109

.1121 -.000161

.1314 -. 000227

. 1515 -.000309

.1725 -. 000413

.1944 -. 000542

.2171 -. 000703

.2408 -. 000909

.2655 -.001175

.2912 -. 001532

.3181 -. 0020 38

.3465 -. 002815

.3525 -. 003029

3.8455 . 020620

3.8766 .020389

4.0210 .018682

4.1685 . 017293

4.3195 •016132

4.4745 . 015140

4.6336 .014276

4.7972 .013512

4.9653 . 012827

5.1382 . 012204

5.3160 .011633

5.4989 . 01 110 3

5.6871 . 010607

5. 8807 . 010140

6.0800 . 009696

6.2850 .009273

6.4959 . 008865

6.7129 .008472

6. 9362 . 008069

7.1660 .007717

7.4024 . 007352

7.6456 • 006994

7.8958 . 006641

8.1532 . 006291

6.4181 .005945

8.6905 .005600

8.9709 .005257

9.2593 .004913

9.5560 .004569

18
Table 12 Continued

NF3 ISOTHERM AT 230.00 K MOL/L P.BAR

.320 5.799

.640 11.038

.960 15.750

1.260 19.952

1.600 23.664

1.920 26.908

2.240 29.715

2.560 32. 114

2.680 34.139

3.200 35.823

3.520 37.198

3.840 38.296

4.160 39.151

4.480 39.785

4.557 39.907

12.155 39.907

12.160 39.924

12.480 41.312

12.800 43.258

13.120 45.882

13.440 49.319

13.760 53.725

14.080 59.271

14.400 66. 151

14.720 74.576

15.040 84.781

15.360 97.022

15.680 111.583

16.000 128.769

16.320 148.915

16.640 172.364

16.960 199.573

17.280 230.908

17.600 266.853

17.920 307.912

18.240 354.629

Z OP/OD

.94756 17.216

.90184 15.540

.85791 13.920

.81511 12.354

.77339 10.855

. 73286 9.439

.6936

6

8.117

.65597 6.895

.61985 5.778

.58539 4.764

.55261 3, 852

.52153 3.036

.49213 2.309

.46438 1.664

.45797 1.519

.17168 3.557

.17169 3.578

.17310 5.152

.17672 7.073

.18287 9.394

.19189 12. 169

.20417 15.455

.22013 19. 310

.24022 23.797

.26493 28.981

.29477 34.933

.33031 41.725

.37212 49.437

.42085 58.150

.47715 67.952

.54173 78.939

.61533 91.210

.69876 104.874

.79286 120.047

.89851 136.854

1.01668 155.433

OP/DT D2P/0T2

• 0280 000007

.0589 ~. 000033

.0927 000084

.1294 -.000167

.1691 000288

.2115 -. 000453

.2567 -. 000674

.3045 000965

.3548 -.001349

.4075 -. 001867

.4625 -.002595

.5200 -. 003696

.5803 -.005610

« 6448 -. 010056

.6614 012244

2.4239 . 030952

2.4265 . 030791

2.6017 . 023437

2. 7853 . 019405

2.9799 , 016816

3.1869 .014982

3.4076 .013590

3.6430 . 012476

3.8939 . 011545

4.1613 . 010741

4.4460 .010024

4.7490 . 009370

5.0712 . 008761

5.4135 .008182

5.7771 .007625

6.1629 .007082

6.5722 . 006547

7.0061 • 006016

7.4660 .005483

7.9533 •004946

8.4694 . 004401

79
Table 12 Continued

NF3 ISOTHERM AT 234.00 K MOL/L P,BAR

.320 5.910

.640 11.273

.960 16.120

1.260 20.469

1.60 0 24.338

1.920 27.751

2.240 30.736

2.560 33.324

2.880 35.548

3.200 37.439

3.520 39.030

3.840 40.353

4.160 41.437

4.480 42. 310

4.800 42.999

5.120 43.529

5.440 43.923

5.760 44. 204

6.080 44.391

6.400 44.506

6.720 44.569

7.040 44.597

7.360 44.606

7.680 44.607

6.000 44.607

8.320 44.607

8.640 44.610

8.96 0 44.618

9.280 44.642

9.600 44.694

9.920 44. 792

10.240 44.960

10.560 45.230

10.860 45.640

11.200 46.239

11.520 47. 087

11.640 48.251

12.160 49.815

12.460 51.873

12.800 54.533

13.120 57.921

13.440 62.175

13.760 67.455

14.060 73.936

14.400 81.813

14.720 91.302

15.040 102.641

15.360 116.090

15.680 131.934

16.000 150.485

16.320 172.082

16.640 197.091

16.960 225.912

17.280 258.978

17.600 296.759

17.920 339.763

18.240 388.540

Z OP/OD

.94934 17.583

.90531 15.943

.86305 14.360

. 82191 12.829

.78182 11.365

.74289 9.982

.70526 8.692

.66907 7.501

.63441 6.412

.60134 5.425

.56991 4.537

.54012 3.745

.51197 3.044

.48542 2.428

.46044 1.892

.43698 1.432

.41500 1.042

• 39444 .720

.37527 .463

.35743 .268

.34089 .132

.32559 .050

.31150 .012

.29853 .001

.28659 .000

.27557 .002

.26538 • 014

.25595 .046

.24726 .111

.23929 .223

.23208 • 401

.22567 .665

.22014 1.039

.21561 1.550

.21220 2.227

. 21008 3.104

.20946 4.217

.21056 5.605

.21363 7.311

.21898 9.381

.22691 11.864

.23778 14. 811

.25197 18.279

.26990 22.327

.29202 27.016

.31880 32.414

.35077 38.589

.38846 45.616

.43247 53.574

.48342 62.546

.54195 72.621

.60878 83.893

. 68464 96.465

.77031 110.445

.86664 125.951

.97451 143. 109

1. 09486 162.058

DP/DT D2P/0T2

• 0280 -.000006

.0587 -.000030

.0923 -.0000 77

• 1288 -. 000150

.1680 -. 000255

• 2098 000395

.2542 -. 000575

• 3010 -. 000800

.3500 -. 001078

.4010 -.001416

.4539 -.001829

• 5084 -.002333

.5644 -. 002954

.6217 -. 003730

.6801 -. 004722

.7394 -. 006026

.7995 -. 00 7806

.8600 -. 010361

.9208 -. 014269

.9816 -. 020779

1.0419 -.032965

1.1012 -. 060115

1.1583 -.142093

1.2114 -.669850

1.2549 8.490979

1.3044 •430249

1.3622 •166301

1.4268 . 093647

1.4982 .062503

1.5765 .046005

1. 6622 • 036094

1. 7556 . 029618

1.8573 . 025125

1.9678 •021862

2. 0876 . 019402

2.2173 . 017492

2.3576 . 015967

2.5090 .014721

2.6722 . 013679

2.6477 .012790

3.0364 .0120 16

3.2389 .011329

3.4558 .010707

3.6879 . 010136

3.9360 .009602

4.2008 . 009096

4.4831 .008609

4.7839 . 008137

5.1039 , 007673

5.4442 .007215

5. 8058 .006757

6.1896 .006298

6.5969 . 005835

7.0289 .005366

7.4868 . 004888

7. 9720 .004399

8.4860 . 003898

80
Table 12 Continued

NF3 ISOTHERM AT 240.00 K MOL/L P.8AR

.320 6. 076

.640 11.625

.960 16.673

1.280 21.239

1.600 25.341

1.920 29.003

2.240 32. 252

2.560 35.117

2.860 37.630

3.200 39.822

3.520 41.724

3.640 43.367

4.160 44.779

4.480 45.987

4.600 47.016

5.120 47.889

5.440 46.630

5.760 49.259

6.080 49.797

6.400 50.263

6.720 50.678

7.040 51.060

7.360 51.428

7.680 51.796

8.000 52.173

8.320 52.563

8.640 52.972

8.96 0 53.408

9.260 53.884

9.600 54.419

9.920 55.035

10.240 55.762

10.560 56.636

10.880 57,702

11.200 59.011

11.520 60.627

11.840 62.624

12.160 65.067

12.480 68.114

12.800 71.819

13.120 76.330

13.440 81.791

13.760 88.365

14.080 96.230

14.400 105.588

14.720 116.659

15.040 129.684

15.360 144.930

15.660 162.688

16.000 183.273

16. 320 207.031

16.640 234.336

16.960 265.593

17.280 301.243

17.600 341.763

17.920 387.670

Z DP/OD

.95166 18.133

.91022 16.545

.87033 15.013

.83151 13.534

.79370 12.119

.75700 10.783

.72154 9.537

.68743 6.386

.65478 7. 335

•62363 6.382

.59402 5.524

.56596 4.758

.53943 4.079

.51441 3.482

.49085 2.961

.46873 2.512

.44798 2.130

.42857 1.813

.41 044 1.558

.39357 1.366

.37792 1.235

.36346 1.163

.35017 1.143

.33798 1. 161

•32682 1.198

.31660 1.245

.30725 1.314

.29871 1.417

•29098 1.569

.28407 1.784

.27802 2.082

.27289 2.481

.26877 3.006

.26577 3.681

•26404 4.536

.26374 5.604

.26506 6.920

.26823 8.523

.27351 10.457

•28118 12.767

.29155 15.502

.30497 18.715

.32182 22.462

.34250 26.802

.36746 31.799

.39716 37.518

.43211 44.030

.47285 51.411

.51995 59.739

.57403 69.099

.63572 79.582

.70573 91.283

.78477 104.304

.87363 118.758

.97312 134. 762

1.06412 152.445

DP/OT D2P/0T2

.0279 -. 000006

• 0586 -. 000027

.0919 -. 000068

.1279 -. 000130

• 1666 “.000217

.2077 000330

.2511 000469

.2967 -. 000635

.3443 -. 000827

. 3937 -. 001044

.4447 “.001283

.4971 -. 001538

.5507 “.001802

.6054 “. 002064

• 6609 “. 002309

.7171 -. 002517

.7739 “.002665

.8313 -.002728

. 8893 -.002680

.9480 “. 002505

1.0077 -. 002195

1.0635 -.001756

1.1309 -.001204

1.1953 -. 000556

1.2619 . 000175

1.3311 .000982

1.4033 •001858

1.4789 . 002785

1.5584 .003735

1.6425 .004675

1. 7320 .005565

1. 82 76 .006370

1.9301 • 007062

2.0404 . 007625

2.1594 •008053

2.2877 .008353

2.4262 . 008537

2.5756 .008620

2. 7367 . 008621

2.9101 .008553

3.0965 .008430

3.2967 .008264

3.5114 . 008062

3.7413 .007832

3.9871 . 007578

4.2497 . 007303

4.5297 .007010

4. 8282 .006700

5.1459 .006375

5.4839 . 006036

5.8430 •005682

6.2244 . 005313

6.6291 •004930

7.0585 • 004532

7.5137 . 004118

7. 9962 . 003687

81
Table 12 Continued

NF3 ISOTHERM AT 245.00 K MOL/L P,BAR Z DP/00 DP/DT D2P/DT2

.320 6.216 .95385 18.590 .0279 -. 000005

.640 11.917 .91408 17.043 • 0584 -.000025

.960 17.131 .87603 15.554 .0916 -. 000061

1.260 21.677 .83902 14. 115 .1273 -. 000117

1.600 26.171 .80298 12.739 .1655 -. 000192

1.920 30.038 .76800 11.439 .2061 -.000289

2.240 33.502 .73421 10.227 .2489 -• 000405

2.560 36.593 .70171 9.109 .2938 -. 000540

2.660 39.342 .67059 8.086 .3405 -. 000692

3.200 41. 778 .64091 7.159 • 3890 -.000856

3.520 43.933 .61270 6.324 • 4390 -.001029

3.840 45. 835 .58596 5.578 .4903 *. 001204

4.160 47.512 .56067 4.917 .5429 -.001374

4.460 46.990 .53682 4.335 .5965 -. 00 1529

4.600 50.294 .51437 3.8 27 .6511 -.001659

5.120 51.447 .49327 3. 390 .7067 -. 001753

5.440 52.471 .47350 3.020 .7631 -. 001800

5.760 53.387 .45500 2.715 • 8204 -. 001790

6.060 54.215 .43774 2.474 .8787 -.001716

6.400 54.977 .42170 2.298 .9382 -.001572

6.720 55.693 .40685 2.188 .9991 -. 001360

7.040 56.384 .39317 2.142 1.0617 -• 001082

7.360 57. 070 .38065 2.153 1.1263 -. 000744

7.660 57.767 .36924 2.206 1.1931 -.000352

6.000 58.484 .35888 2.283 1.2626 . 000088

6.320 59. 229 .34947 2.376 1.3349 . 00 0574

6.640 60.006 .34095 2.496 1.4104 . 001104

6.960 60.831 .33329 2.65 8 1.4895 .001670

9.260 61.715 .32647 2.877 1.5728 •002263

9.600 62.680 .32052 3.170 1. 6606 . 0028 70

9.920 63.754 .31549 3.555 1. 75 3 7 .003475

10.240 64.968 .31145 4.054 1.8528 . 004060

10.560 66.363 .30850 4.690 1.9584 .004610

10.660 67.986 .30675 5.489 2.0714 • 005109

11.200 69.696 . 30636 6.481 2.1926 . 005546

11.520 72.158 .30749 7.698 2.3226 . 005913

11.840 74.850 . 31034 9.175 2.4624 . 006209

12.160 76.062 .31514 10.951 2. 6127 . 00 6431

12.460 81.895 .32214 13.069 2.7742 . 006585

12.800 66.468 .33162 15.575 2.9478 . 0066 75

13.120 91.910 .34390 18.518 3. 1341 . 006707

13.440 98.371 . 35931 21.950 3.3339 .006686

13.760 106.016 .37823 25.927 3.5479 . 006620

14.060 115.029 .40105 30.509 3. 7770 .006513

14.400 125.613 .42822 35.759 4. 0218 . 006371

14.720 137.993 .46020 41.745 4.2833 . 006197

15.040 152.416 .49749 48.537 4.5622 .005994

15.360 169.151 .54061 56.211 4. 8593 . 005765

15.680 188.493 .59013 64.847 5.1756 . 00 5513

16.000 210. 765 .64666 74.530 5.5120 .005239

16.320 236.314 .71083 85.351 5. 8695 .004944

16.640 265.521 .78333 97.407 6.2492 . 004629

16.960 298.797 .86487 110.803 6.6522 .004295

17.280 336.590 .95621 125.649 7. 0796 . 003941

17.600 379.381 1. 05818 142.067 7.5329 .003568

82
Table 12. Continued

NF3 ISOTHERM AT 250.00 k

MOL/L P.BAR

.320 6.357

.640 12.209

.960 17.588

1.280 22.512

1.600 26.997

1.920 31.065

2.240 34.742

2.560 38.056

2.860 41.036

3.200 43.713

3.520 46.116

3.840 48.273

4.160 50.211

4.480 51.955

4.800 53.531

5.120 54.960

5.440 56.266

5.760 57.468

6.080 58.589

6.400 59.651

6.720 60.674

7.040 61.681

7.360 62.693

7.680 63.728

8.000 64. 798

8.320 65.910

6.640 67.072

8.960 68.297

9.280 69.604

9.600 71.016

9.920 72.561

10.240 74.277

10.560 76.207

10.880 78.401

11.200 80.922

11.520 83.839

11.640 87.234

12.160 91.200

12.480 95.843

12.800 101.284

13.120 107.659

13.440 115.119

13. 760 123. 834

14.080 133.991

14.400 145.798

14.720 159.483

15.040 175.298

15.360 193.516

15.680 214.437

16.000 238.387

16.320 265.721

16.640 296.822

16.960 332.110

17.280 372.035

Z OP/DO

.95573 19.046

.91774 17.540

•88142 16.090

.84611 14.690

.81174 13.351

. 77838 12.087

.74615 10.908

.71516 9.820

.68549 8.824

.65718 7.922

.63028 7.110

.60478 6.384

.58067 5.741

.55793 5.176

.53652 4.684

.51642 4.262

.49759 3.908

.47999 3.620

.46360 3.398

.44839 3.245

.43436 3.161

.42150 3.145

.40979 3.191

.39920 3.284

.38967 3.406

.38111 3.548

.37347 3.723

.36671 3.946

.36084 4.233

.35588 4.603

.35190 5.075

.34896 5.671

.34718 6.415

. 34667 7. 334

.34759 8.457

. 35012 9.817

.35445 11.449

.36081 13.393

.36946 15.690

.38068 18. 388

.39477 21.533

.41207 25.180

.43296 29. 384

.45782 34.206

.48709 39.707

.52123 45.957

.56073 53.027

.60611 60.992

.65793 69.934

.71678 79.938

.78330 91.096

.85816 103.507

.94206 117.275

1.03577 132.513

OP/DT D2P/DT2

.0279 -.000005

.0583 -. 000023

.0913 -.000056

.1268 -.000105

.1646 -.000172

.2048 -. 000256

.2470 -.000355

.2913 -. 000468

.3373 -.000592

.3851 -. 000724

.4343 -. 000858

.4849 -.000989

.5367 -.001112

.5897 -.001218

.6438 -.001302

• 6990 -. 001356

.7552 -. 001374

.6126 -.001350

.8713 -. 001282

.9315 -• 00 1168

.9933 -.001007

1.0571 -.000802

1.1231 -.000556

1.1916 -. 000273

1.2629 . 000045

1.3372 . 000397

1.4150 .000781

1.4965 . 001193

1.5823 • 001628

1.6728 . 002078

1. 7685 . 002535

1.8701 .002986

1.9782 .003427

2.0935 .003642

2.2167 . 004224

2.3486 • 004563

2.4896 . 004856

2. 6413 . 005099

2.8037 . 005290

2.9779 . 005429

3.1645 .005518

3.3643 . 005560

3.5782 .005558

3. 8070 . 005516

4.0513 .005436

4.3120 . 005321

4.5900 . 00 5175

4.6861 .004999

5.2013 .004797

5.5365 .004569

5. 8926 . 004317

6.2708 • 004043

6.6722 .003746

7.0980 .003427

83
Table 12 Continued

NF3 ISOTHERM AT 260.00 K

MOL/L P.BAR Z DP/DO OP/DT 02P/DT2

.320 6.636 .95923 19.955 .0278 -.000004

.640 12. 791 .92451 18.528 .0581 -.000019

.960 18.499 . 89138 17.155 .0908 -.000047

1.260 23.775 .85920 15.828 .1258 -. 000088

1.600 28.635 .82788 14.560 . 1631 -.000141

1.920 33.101 .79749 13.362 .2025 -.000206

2.240 37.196 .76813 12.245 .2439 000282

2.560 40.947 .73990 11.215 .2871 -.000366

2.880 44.383 .71287 10.273 .3322 -. 000456

3.200 47.531 .68709 9.419 .3788 -.000548

3.520 50.420 •66260 8.65 2 .4269 -.000639

3.840 53.077 .63939 7.969 .4764 -.000725

4.160 55.528 .61747 7.365 .52 73 -. 000801

4.480 57.799 .59680 6.837 .5795 -.000864

4.800 59.912 .57738 6.382 .6330 -. 000910

5.120 61.891 .55917 5.998 .6878 -. 0009 36

5 . 440 63.758 .54216 5.684 .7440 -.000937

5.760 65.536 .52632 5.440 .8016 -. 000914

6.060 67.247 .51164 5.267 • 8609 -. 000862

6.400 68.915 .49811 5.169 .9220 -.000784

6.720 70.563 .48574 5.147 .9851 -.0006 78

7.040 72.217 .47452 5.201 1. 0505 -.000545

7.360 73.900 .46447 5.326 1.1185 -.000388

7.680 75.632 .45555 5.507 1.1892 -. 000207

8.000 77.428 .44771 5.724 1.2631 -• 000003

8.320 79.299 .44089 5.972 1.3402 .000221

8.640 81.255 .43504 6.263 1.4210 • 000467

6.960 83.313 .43013 6.614 1. 5059 •000731

9.280 85.496 .42618 7.044 1.5951 .001012

9.600 87.832 •42322 7.571 1. 6892 . 001306

9.920 90.355 .42134 8.217 1. 7886 • 001608

10.240 93.106 .42060 9.006 1.8939 •001914

10.560 96.136 .42113 9.961 2.0057 • 002218

10.860 99.502 .42305 11.113 2.1245 .002515

11.200 103.272 .42654 12.490 2.2510 . 002798

11.520 107.524 .43176 14.127 2.3858 •003062

11.840 112.345 .43893 16.059 2.5298 . 003303

12.160 117.837 .44827 18.327 2. 6836 . 00 3517

12.480 124.114 • 46 00 4 20.972 2.8479 . 003699

12.800 131.304 .47452 24. 040 3.0235 .003846

13.120 139.550 .49202 27.581 3.2112 .003963

13.440 149.012 .51288 31.647 3.4117 • 004043

13.760 159. 867 .53744 36.296 3.6259 .004087

14.080 172.310 .56611 41.587 3. 8545 . 004098

14.400 186.557 .59929 47.583 4.0984 .004075

14.720 202.846 .63745 54.354 4.3583 . 004020

15.040 221.434 .68106 61.972 4.6352 . 003934

15.360 242.606 .73064 70.513 4. 9299 . 003820

15.680 266.670 .78672 80.060 5.2434 .003677

16.000 293.961 .84989 90.700 5.5766 .003507

16. 320 324. 845 .92076 102.527 5. 9305 .003312

16.640 359.716 .99999 115.641 6.3063 . 003092

16.960 399.003 1.08828 130.148 6.7050 . 00 28 47

84
Table 12. Continued

NF3 ISOTHERM AT 270.00 K MOL/L P,BAR Z OP/00 OP/OT 02P/0T2

.320 6.914 .96242 20.862 .0278 -• 000004

.640 13.371 .93064 19.508 .0579 -. 000017

.960 19.404 .90039 18.208 .0904 -. 000040

1.280 25.029 .87102 16.951 • 1250 -.000074

1.600 30.259 .84244 15.750 • 1618 -.000118

1.920 35.116 .81470 14.615 .2006 -.000171

2.240 39.621 .78792 13.557 .2413 -. 000232

2.560 43.801 .76216 12.582 .2838 -. 000298

2.880 47.683 .73751 11.692 .3281 -. 000367

3.200 51.293 .71402 10.887 .3739 -. 000437

3.520 54.660 .69171 10.166 .4212 -. 000504

3.840 57. 808 .67059 9.527 .4701 -. 000567

4.16 0 60.765 .65067 8.965 .5203 -. 000621

4.480 63.554 .63193 8.480 .5719 -. 000665

4.800 66.200 .61435 8.069 • 6250 -. 000696

5.120 68.726 .59793 7.730 .6796 -. 000712

5 . 440 71.155 .58265 7.464 .7358 -. 000711

5.760 73.511 .56850 7.272 .7937 -. 000691

6.080 75.817 .55547 7.157 .8534 -.000653

6.400 78.099 .54359 7.122 .9152 -. 000595

6.720 80.384 .53284 7.170 .9792 -. 000518

7.040 82.698 .52326 7.304 1.0458 -. 000423

7.360 85.067 .51485 7.516 1.1150 -. 000310

7.680 87.514 .50760 7.791 1.1873 -.000180

8.000 90.058 .50146 8.112 1.2629 -. 000034

8.320 92.710 .49637 8.471 1.3419 . 000127

8.640 95.485 .49229 8.885 1.4248 • 000303

8.960 98.404 .48922 9.370 1.5119 .000494

9.280 101.492 .48717 9.946 1.6035 . 000696

9.600 104.782 .48620 10.634 1. 7001 •000908

9.920 108. 312 .48637 11.456 1. 8021 •001128

10.240 112.130 .48778 12.437 1.9100 .001353

10.560 116.292 .49055 13.603 2.0244 . 001578

10.880 120.859 .49482 14.933 2.1457 . 00 1801

11.200 125.907 .50076 16.610 2.2747 . 002017

11.520 131.519 .50855 18.517 2.4119 •002223

11.840 137.792 .51841 20.741 2.5581 . 002415

12.160 144. 832 .53055 23. 322 2. 7138 . 002589

12.480 152.760 .54525 26.304 2.8798 . 002743

12.800 161.714 .56278 29.733 3.0568 . 002873

13.120 171.842 .58344 33.658 3.2456 .002979

13.440 183. 314 .60757 38.133 3.4469 . 003058

13.760 196.312 .63552 43.215 3.6616 . 003110

14.080 211.042 .66768 48.964 3. 0904 . 003135

14.400 227.728 .70446 55.446 4.1341 .003131

14.720 246.613 .74629 62.728 4.3937 . 003100

15.040 267.967 .79366 70.884 4.6698 .003042

15.360 292.081 .84705 79.993 4. 9636 . 002956

15.680 319.273 .90702 90.137 5.2758 .002845

16.000 349.888 .97411 101.405 5.6075 .002708

16.320 384.302 1. 04894 113.893 5.9597 .002546

85
Table 12 Conti nued

NF3 ISOTHERM AT 280.00 K MOL/L P.BAR

.320 7.191

• 640 13.949

.960 20.306

1.280 26.275

1.600 31.871

1.920 37.114

2.240 42.023

2.560 46.626

2.880 50.946

3.200 55.012

3.520 58.849

3.840 62.483

4.160 65.939

4.480 69.243

4.800 72.418

5.120 75.489

5.440 78.480

5.760 81.416

6.080 84.321

6.400 87.224

6.720 90.152

7.040 93.135

7.360 96. 202

7.680 99.379

8.000 102.684

8.320 106.134

8.640 109.747

8.960 113.545

9.280 117.558

9.600 121.823

9.920 126.384

10.240 131.292

10.560 136.607

10.880 142.398

11.200 148.746

11.520 155. 740

11.840 163.482

12.160 172. 087

12.480 181.683

12.800 192.413

13.120 204.435

13.440 217.923

13.760 233.071

14.080 250.091

14.400 269.213

14.720 290.693

15.040 314. 805

15.360 341.852

15.680 372.161

2 DP/DD

.96532 21.766

.93622 20.484

.90857 19.252

.88174 18.062

.85563 16.924

.83030 15.850

.80584 14.850

.78233 13.928

.75985 13.089

.73843 12.334

.71812 11.660

.69893 11.066

.68086 10.550

.66390 10.111

.64606 9.748

.63332 9.459

.61968 9.247

.60714 9.113

.59572 9.061

.58541 9. 096

.57625 9.221

.56826 9.439

.56145 9.743

.55583 10.119

•55134 10.548

.54795 11.024

.54561 11.565

.54433 12.188

. 54414 12.915

.54509 13.766

.54725 14.766

.55074 15.939

.55567 17.315

.56219 18.923

.57047 20.796

.58070 22.969

.59310 25.480

.60788 28.369

.62533 31.681

.64570 35.462

.66931 39. 764

.69648 44.639

.72757 50.146

.76296 56.345

• 80304 63.303

.84827 71.087

. 89908 79. 774

.95599 89.441

1.01951 100.174

DP/OT D2P/DT2

.0278 >. 000003

. 0578 000015

.0900 -. 000035

• 1243 -• 000064

. 1607 •. 000101

.1990 -. 000145

.2392 -.000195

.2811 -.000249

.3247 -. 000304

• 3699 -• 000360

.4167 -. 000413

• 4649 -.000462

.5147 -. 000504

.5660 -. 00 0537

.6188 -. 000560

.6733 -.000572

.7295 -. 000571

. 7875 -. 000555

.8476 -. 00 05 26

.9099 -. 000482

.9746 -.000424

1.0419 -.000351

1.1122 -. 000266

1.1856 -. 000168

1.2624 -.000057

1.3429 . 0 0 0 0 65

1.4273 . 000199

1. 5160 •000344

1. 6094 . 00 0498

1. 70 7 8 •000660

1.8118 . 000828

1.9217 . 001000

2.0380 . 001174

2.1613 . 001347

2.2922 .001516

2.4313 . 001679

2.5791 .001832

2. 7364 . 0019 72

2.9038 •002098

3. 0820 . 002207

3.2718 . 00 2297

3.4739 . 002366

3.6890 • 002414

3.9181 •002439

4.1618 . 002440

4.4211 .002417

4.6968 . 002371

4.9897 • 002301

5.3009 . 002207

8b
Table 12 Continued

NF3 ISOTHERM AT 300.00 K MOL/L P.BAR Z

. 320 7.746 .97042

.640 15.102 .94600

.960 22.099 .92288

1.280 28.750 .90046

1.600 35.067 .87866

1.920 41.068 .85751

2.240 46. 772 .83711

2.560 52.204 .81753

2.860 57.386 .79884

3.200 62. 346 .78109

3.520 67.108 .76432

3.840 71.699 .74856

4.160 76.143 .73381

4.480 80.467 .72008

4.800 84.695 .70739

5.120 68. 853 .69574

5.440 92.968 .66514

5.760 97.067 .67560

6.060 101.179 .66716

6.400 105.335 .65983

6.720 109.567 .65366

7.040 113.910 .64868

7.360 118. 397 .64492

7.680 123.058 .64238

8.000 127.919 .64104

8.320 132.999 .64067

8.640 138.323 .64183

8.960 143.920 .64395

9.280 149. 827 .64727

9.600 156.089 .65184

9.920 162.757 .65777

10.240 169.693 .66515

10.560 177.564 .67412

10.680 185.852 .68483

11.200 194.847 .69746

11.520 204.650 .71220

11.840 215.375 .72927

12.160 227.150 .74890

12.480 240.116 .77135

12.600 254.430 . 79689

13.120 270.263 .82584

13.440 267.806 .85850

13.760 307.265 .89524

14.080 328.870 .93641

14.400 352.867 .96241

14.720 379.528 1.03366

OP/DO OP/DT D2P/DT2

23.567 .0277 >. 000003

22.420 .0575 •. 000012

21.319 .0894 -.000028

20.255 .1232 -.000050

19.237 .1589 -. 000077

18.278 .1965 -. 000109

17.387 .2356 -. 000145

16.572 .2769 -. 000184

15.834 .3195 -. 000223

15.177 .3636 -. 000261

14.601 .4097 -. 000298

14.104 .4571 -. 000331

13.686 .5062 000360

13. 348 .5569 -. 000363

13.090 .6094 -. 000399

12.913 .6637 -. 000407

12.820 .7199 -.000407

12.814 .7781 -. 000398

12.902 .8387 -. 000381

13.089 .9017 -. 000354

13.381 .9673 -.000318

13.779 1.0358 -.000273

14.279 1. 1074 -. 000220

14.867 1.1824 -. 000158

15.522 1.2609 -.000089

16.242 1.3433 -• 000012

17.047 1.4299 . 000072

17.955 1.5209 . 000163

18.990 1. 6167 . 000259

20.174 1. 7178 .000362

21.534 1.8244 . 000468

23.097 1.9370 . 000577

24.893 2. 0561 . 000687

26.954 2.1822 .000798

29.315 2.3158 .000906

32.013 2.4575 . 001011

35.087 2.6078 .001110

38.581 2. 7674 . 001202

42.539 2.9368 .001265

47.010 3.1168 . 001357

52.046 3.3061 .00 1416

57.703 3.5114 . 001462

64.040 3.72 73 .001492

71.118 3.9568 . 001506

79.006 4.2005 . 001503

87.775 4.4593 . 001482

87
Table 12 Conti nued

NF3 ISOTHERM AT 320.00 K MOL/L P.BAR Z .320 8.299 .97475

.640 16.249 .95427

• 960 23.881 .93496

1.280 31.204 •91626

1.600 38.231 .89808

1.920 44.977 .88046

2.240 51.462 .86348

2.560 57.707 .84723

2.830 63.736 .83178

3.200 69.575 .81717

3.520 75.248 •80346

3.840 80.781 .79067

4.160 86.202 .77882

4.480 91.536 .76794

4.800 96.810 .75804

5.120 102.052 .74914

5.440 107.291 .74127

5.760 112.557 .73445

6.080 117.883 .72872

6.400 123.303 .72411

6.720 128.853 .72068

7.040 134.574 .71846

7.360 , 140.502 .71750

7.680 146.673 .71780

8.000 153.117 .71936

8.320 159.859 .72215

8.640 166.929 .72616

8.960 174. 362 .73141

9.280 182.204 .73794

9.600 190.504 .74584

9.920 199.323 .75520

10.240 208.730 .76612

10.560 218.803 .77876

10.880 229.633 .79327

11.200 241.318 .80982

11.520 253.973 .82861

11.840 267.722 .84986

12.160 282.704 .87380

12.480 299.074 .90069

12.800 317.000 .93081

13.120 336.669 •96446

13.440 358.284 1.00194

13.760 382.068 1.04360

OP/OD OP/DT 02P/0T2

25.361 .0276 -• 000002

24.340 .0573 -. 000010

23.362 . 0889 >• 000022

22.415 .1223 -.000040

21.511 .1576 -.000062

20.662 • 1946 -.000087

19.878 .2333 -. 000114

19.166 .2736 -• 000143

18.530 .3156 -. 000173

17.973 .3592 -.000202

17.497 • 4045 000230

17.102 .4513 -• 000255

16.790 .4999 -.000277

16.561 .5502 -.000294

16.417 • 6024 -.000307

16.361 • 6565 -. 000314

16. 398 .7127 -. 000316

16.533 .7711 -. 000311

16.772 .8319 -.000301

17.122 .8953 -. 000284

17.591 .9615 -. 000261

18.182 1.0308 -.000232

18.888 1.1032 -.000197

19.697 1.1792 -.000157

20.589 1.2589 -. 000111

21.563 1.3426 -.000060

22.640 1.4305 -. 000004

23.842 1. 5230 .000057

25.192 1.6204 • 000121

26.715 1. 7231 . 000189

28.440 1.8315 • 000260

30.395 1.9459 .000333

32.611 2.0668 •000406

35.124 2.1947 . 000479

37.970 2.3301 •000551

41.187 2.4735 . 000620

44.816 2.6254 .000685

48.903 2. 7865 . 000745

53.495 2.9573 . 000798

58.641 3.1385 . 000844

64.395 3.3307 .000880

70.815 3.5346 .000905

77.961 3. 7510 . 000919

88
Table 12 Conti nued

NF3 ISOTHERM AT 350.00 K MOL/L P,8AR

.320 9.127

.640 17.964

.960 26.537

1.280 34.857

1.600 42.933

1.920 50.779

2.240 58.413

2.560 65.858

2.860 73.135

3.200 80.270

3.520 87.289

3.840 94.219

4.160 101.087

4.480 107.924

4.800 114.758

5.120 121.620

5.440 128.543

5.760 135.563

6.080 142.717

6.400 150.045

6.720 157.591

7.040 165.399

7.360 173.514

7.680 181.979

6.000 190.831

8.320 200.102

8.640 209.830

8.960 220.062

9.260 230. 850

9.600 242.257

9.920 254.353

10.240 267.219

10.560 280.948

10.680 295.642

11.200 311.416

11.520 328.398

11.840 346.728

12.160 366.564

12.460 388.077

Z DP/DD

.98013 28.041

.96452 27.198

.94991 26.391

.93578 25.612

.92207 24.870

.90882 24.178

.89611 23.549

.88402 22.989

.87262 22.505

.66198 22.102

.85214 21.781

.84314 21.546

.83503 21.399

.82782 21.344

.82155 21.383

.81626 21.523

.81198 21.768

. 80875 22.126

.80662 22.606

.80563 23.217

.60586 23.966

.80734 24.857

.81013 25.887

.81425 27.040

.81970 28.299

.82646 29.665

.83455 31.162

.84398 32.813

.65463 34.644

.86716 36.683

. 88109 38.960

.89673 41.505

.91424 44.354

.93376 47.543

.95547 51.110

.97959 55.098

1.00631 59.550

1.03589 64.514

1.06856 70.038

OP/OT 02P/DT2

.0276 000002

. 0570 000008

.0883 -.000017

.1213 -. 00 0030

.1560 -. 00 0046

.1923 -. 000065

.2303 -.000085

.2699 — . 000106

.3112 -. 000127

.3540 -• 000148

.3986 -. 000168

.4448 -.000187

.4928 -. 000203

.5427 -. 000216

.5945 -. 000227

.6484 -. 000234

.7045 -.000238

.7630 -. 000237

• 8240 -. 000233

.8878 -. 000225

.9545 -.000213

1.0244 -. 000198

1.0976 -.000179

1.1745 -. 000157

1.2552 -. 000131

1.3401 -.000103

1.4293 -. 000071

1.5232 -. 000037

1.6221 -.000001

1. 72 63 •000038

1.8363 . 000077

1.9523 . 000118

2. 0749 . 000158

2.2045 •000198

2.3415 . 000237

2.4864 . 000274

2.6398 .000307

2. 8021 .000337

2.9741 .000361

89
Table 12 Continued

NF3 ISOTHERM AT 400.00 K

MOL/L P.BAR

.320 10 .504

.640 20.806

.960 30.931

1.280 40.886

1.600 50.679

1.920 60.323

2.240 69.836

2.660 79.238

2.880 88.554

3.200 97.809

3.520 107.033

3.840 116.255

4.160 125.507

4.480 134.821

4.800 144.234

5.120 153.782

5.440 163.506

5.760 173.448

6.080 183.656

6.400 194.178

6.720 205.069

7.040 216.384

7.360 228.179

7.680 240.509

8.000 253.420

8.320 266.959

8.640 281.177

8.960 296.135

9.280 311.901

9.600 328.555

9.920 346.186

10.240 364.893

10.560 384.789

Z OP/00

.98696 32.484

.97749 31.913

.96879 31.372

•96044 30.851

.95239 30.363

.94469 29.922

.93742 29.542

.93067 29.233

.92452 29.003

.91904 28.859

.91428 28.805

•91030 28.848

.90715 28.991

•90486 29.242

.90350 29.606

.90311 30.091

.90373 30.705

.90542 31.459

•90825 32.364

.91227 33.429

.91756 34.667

.92418 36.081

.93218 37.669

.94161 39.416

•95248 41. 304

.96477 43.341

.97852 45.553

.99377 47.968

1.01059 50.613

1.02906 53.521

1.04931 56.723

1.07144 60.255

1.09563 64.156

OP/OT 02P/DT2

. 0275 -• 000001

.0567 -• 000006

.0875 -.000012

.1200 -.000021

. 1540 -• 000032

.1896 -• 000045

.2268 -• 000058

• 2656 -.000072

.3059 -. 000087

.3479 -.000101

.3917 -. 000115

.4371 -• 000128

.4845 -. 000139

.5337 -. 000150

.5851 -.000159

• 6386 -. 000166

.6945 -. 000171

.7529 -. 000174

.8140 -. 000176

.8779 -. 000176

.9450 -. 000173

1.0153 -. 000169

1. 0891 -• 000164

1.1667 -. 000157

1.2482 -.000148

1.3339 -.000138

1.4241 -. 000127

1. 5191 -. 000115

1.6192 -. 000102

1. 7246 -.000089

1. 8358 -. 000075

1.9531 -. 000062

2.0770 -. 000049

90
Table 12 Continued

NF3 ISOTHERM AT 450.00 K MOL/L P*BAR Z .320 11.877 .99198

.640 23.634 .98699

.960 35.294 .98260

1.260 46. 861 .97849

1.600 58.344 .97460

1.920 69.754 .971’01

2.240 81.111 .96779

2.560 92.435 .96504

2.880 103. 753 .96285

3.200 115.093 .96128

3.520 126.486 .96040

3.840 137.967 •96026

4.160 149.572 .96096

4.480 161.338 .96252

4.800 173.307 .96500

5.120 185.523 .96846

5.440 198.034 .97296

5.760 210.891 .97856

6.080 224.149 .98534

6.400 237. 867 .99336

6.720 252. 110 1.00270

7.040 266.943 1.01344

7.36 0 282.434 1.02563

7.680 298.647 1.03932

8.000 315.642 1.05452

8.320 333.475 1.07125

8.640 352.213 1.08954

8.960 371.929 1.10944

9.260 392.708 1.13103

OP/00 OP/OT 02P/0T2

36.904 .0274 -.000001

36.586 .0564 -. 000004

36.290 • 0870 -.000009

36.011 .1191 -. 000016

35.763 .1526 -.000024

35.563 .1877 -. 000033

35.426 .2243 -. 000043

35.364 .2625 -. 000054

35.387 .3022 -.000065

35.505 .3436 -.000075

35. 723 .3867 -. 000086

36.051 .4316 -.000096

36.496 .4784 -. 000106

37.064 .5272 -. 000115

37.766 .5781 -. 000123

38. 611 .6313 -• 000130

39.610 .6869 -. 000136

40.774 .7451 -.000141

42.118 .8060 -.000146

43.655 . 8699 -. 000149

45.395 .9369 -. 000151

47.346 1. 0072 -. 000153

49.505 1.0812 -. 000154

51.858 1.1589 -. 000154

54.388 1.2406 -. 000154

57.106 1.3266 -. 000153

60.043 1.4171 -.000152

63.228 1.5124 -.000150

66.693 1. 6127 -. 000149

91
Table 12. Continued.

NF3 ISOTHERM AT 500.00 K MOL/L P,BAR Z DP/DD OP/OT 02P/0T2

.320 13.247 .99579 41. 308 .0274 -. 000001

.640 26.451 .99418 41.225 .0563 -• 000003

.960 39.633 .99307 41.160 .0866 -. 000007

1.280 52.796 .99216 41. Ill .1183 *. 000013

1.600 65.948 .99145 41.094 • 1516 000019

1.920 79.101 .99101 41.127 • 1862 *•000026

2.240 92.276 .99091 41.228 • 2224 -.000034

2.560 105.496 .99126 41.410 • 2601 -. 000042

2.880 118.788 .99215 41.685 .2993 -. 000051

3.200 132.186 .99364 42.065 .3402 -• 000060

3.520 145.722 .99581 42.559 .3829 -.000068

3.840 159.437 .99874 43.177 .42 73 -. 000077

4.160 173.370 1.00247 43.927 .4737 -.000085

4.480 187.565 1.00709 44.820 .5221 -.000093

4.800 202.071 1.01264 45.866 .5726 -.000101

5.120 216.937 1.01920 47.079 .6254 -.000108

5.440 232.220 1.02682 48.470 .6807 -. 000114

5.760 247.978 1.03558 50.053 .7386 -. 000120

6.080 264.276 1.04556 51.845 .7993 -. 000126

6.400 281.183 1.05682 53.859 .8629 -.000131

6.720 298.772 1.06946 56.110 .9297 -.000136

7.040 317.119 1.08354 58.604 .9999 -. 000141

7.360 336.304 1.09913 61.339 1.0737 -. 000145

7.680 356.401 1. 11628 64.303 1.1513 -. 000149

8.000 377.480 1.13501 67.478 1.2329 -.000153

8.320 399.611 1.15534 70.881 1.3188 -.000158

NF3 ISOTHERM AT 600.00 K

MOL/L P.BAR Z OP/DD OP/DT D2P/0T2

.320 15.982 1.00111 50.077 .0273 -• 000001

.640 32.062 1.00421 50.431 • 0560 -.000002

.960 48.259 1.00767 50.799 .0860 -• 000005

1.280 64.575 1.01128 51.184 .1173 -• 000008

1.600 81.021 1.01505 51.607 .1500 -. 000013

1.920 97.610 1.01907 52.089 • 1841 -.000018

2.240 114.366 1.02344 52.652 .2196 -.000023

2.560 131.318 1.02824 53.313 .2566 -. 000029

2.880 148.499 1.03358 54.089 .2951 -.000035

3.200 165.948 1.03953 54.992 .3353 000041

3.520 183.709 1.04617 56.038 .3772 -.000047

3.840 201.829 1.05357 57.238 .4209 -. 000054

4.160 220.359 1.06182 58.605 .4665 -. 000061

4.480 239.355 1.07097 60.154 .5142 -. 000067

4.800 258.879 1.08110 61.899 • 5640 -.000074

5.120 278.993 1.09229 63.855 .6161 -. 000081

5.440 299.770 1.10459 66.040 .6708 -. 000087

5.760 321.285 1.11810 68.470 • 7280 -. 000094

6.080 343.619 1.13289 71.164 . 7880 -. 0001 01

6.400 366.860 1.14904 74.142 .8510 -.000108

6.720 391.102 1.16663 77.418 .9172 -. 000115

92
Table 13. The Joule-Thomson Inversion Locus. (Column DI is the initial density

for the iteration.)

THE JOULE-THOMSON INVERSION LOCUS FOR NITROGEN TRIFLUORIOE.

T,K 01 MOL/L P.BAR

190 19.228 18.171 15.48

20C 18.823 17.836 65.09

21C 18.428 17.510 110.99

22C 18.040 17.193 153.47

230 17.661 16.834 192 .76- 240 17.289 16.582 229.09

250 16.926 16.286 262.67

260 16.570 15.997 293.65

270 16. 221 15. 712 322.19

280 15.880 15.433 348 .44

290 15. 546 15.158 372.52

300 15.219 14.886 394.53

310 14.899 14.619 414.60

320 14.586 14.354 432.80

330 14.279 14.092 449.22

340 13.979 13. 832 463.95

350 13.685 13.575 477.05

360 13.397 13. 319 488.61

370 13.115 13.064 498.67

380 12.840 12. 811 507,30

390 12.570 12.559 514.57

400 12.305 12.307 520 .52

410 12.046 12. 057 525.22

420 11.793 11.807 528.72

430 11,545 11.557 531.08

440 11.302 11.308 532.36

T,K DI MOL/L P,BAR

450 11.065 11.059 532. 62

460 10.832 10. 812 531.93

470 10.604 10.565 530. 36

480 10.381 10.319 527. 97

490 10.163 10.075 524.85

500 9.949 9.832 521.09

510 9.740 9.592 516. 76

520 9.535 9.355 511.95

530 9.335 9.122 506.76

540 9.138 8.892 501.28

550 8.946 8.668 495.59

560 8.75 8 3.448 489. 78

570 8.574 8.235 483.93

580 8.394 8.028 478.11

590 8.217 7.828 472.39

600 8.044 7.636 466. 89

610 7. 875 7.451 461. 56

620 7.709 7.272 456.29

630 7.547 7.097 451. 01

640 7. 389 6.926 445. 66

650 7.233 6.758 440.17

660 7.081 6.592 434.51

670 6.932 6.428 428.66

683 6, 786 6.266 422.59

690 6.644 6.104 416.30

700 6.504 5.944 409. 78

93
TABLE 14. Thermophysical Properties of Saturated Liquid

This table was computed along paths described in section 3.0.

headings have the following i nterpretations--

DPS/DT E dPo/dT, vapor pressure.

DDL/DT E dpj,/dT, saturated liquid.

DP/DT E (9P/9T), single phase.

DP/DD E (9P/9p), single phase.

Q,VAP E AHyap* heat of vaporization,

CV E Cv(p,T),

CS = Co(T),

CP E Cp (p jT)

,

W E speed of sound

.

Col umn

94
PROPERTIES

OF

SATURATED

LIQUID

NITROGEN

TRIFLUORIOE

Table 14. Thermophysical Properties of Saturated Liquid.

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CO N- N- vO vO UN ir\ J- 3

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r- V CD <0 00 t4 r.. UJ O' N- 0 O' in' 0 O' t4 4 CJ in ro CJ O' CJ 4

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\ or 1 1 1 1 1 1 1 1 1 1 1 1 • 1 1 1 1 1 4- 4 4 4 4 4 * 4 4 4 4 4 4

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c- CJ j- ^ ro 1'. t4 CJ in CO t4 CJ <VJ j- in c~ O' 4 »4 4 CJ CJ ro ro 4

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to _i r'.. U3 \0 in in 4 4 ro ro ro ro CJ CJ CM CM CJ CJ 4 4 t4 t4 «r4 4 ^4 0 0 CD 0 0 CD 0 0 0 0 0

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CL QZ m in 4 ro ro CJ CJ CJ t4 4 t4 0 0 0 0 0 tJ 4 *»4 4 4 f4 CJ CJ CJ CJ CJ CJ CJ CJ CJ nj CM CJ < 0 CD 0 0 0 0 CD 0 CD 0 CD 0 0 0 CD 0 0 CD CD 0 0 0 0 0 CD 0 0 CD CD 0 0 0 0 0 0 0 CD

CO 1 1 1 1 1 1 t 1 1 1 1 + + + * * 4- •f •f + 4 4* 4> + 4 4- 4

Ui Ul UI UJ UI UJ ij UI lij UI UJ UJ UI UI UI UI UI UI LU UI UI UI LU UJ UI UI UI UI tu UI UI LU UJ UI lU UJ lU 4 sC 4 J3 O' 4 0 GO ro O' fO in ro CD 4 00 ro 4 CO 0 0 t4 ro t4 J3 nj O' GO t4 ro K in 4 4 O' GO t4 m 00 in 4 O' JO in 4 t4 lO CM rv 4 in 4 ro 0 4 ro IV O' t4 lO in O' 4 IV r^ CD rv O' u> O' t4 ro U) <0 CM rv LI> CM a 4 CD O' ro CJ t4 ro t4 LT^ 0 in 0 rv in in <X5 CJ O' 0 ro in 00 CJ u> O' 4 CP CM fO 4

4 IV PO in v4 4 0* CJ ro rv CJ ro O' N. t4 t4 CJ CJ ro 4 in fv GO '>r4 4 v4 M CJ CJ ro ro 4 4 4

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vO rv rv GO GO O' O' 0 0 t4 CM CJ ro ro 4 4 in in vO J3 rv rv CO 00 O' O' 0 0 4 4 CJ (M ro ro ro ro
PROPERTIES

OF

SATURATED

LIQUID

NITROGEN

TRIFLUORIDE

Table 14 Conti nued

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in CD CD O o CD CD CD O O o O CD O o O cr o CD O CD CD CD o o O o CD CD o O o CD o CD o CD

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96
TABLE 15. 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 an artifical P(T)

melting line adopted from methane.

Each table at P < P(. contains a blank line for the transition from

saturated liquid to vapor, as seen by the abrupt decrease of density.

Table headings for partial derivatives have the following interpretations--

DP/DT E 3P/3T,

DP/DD E 3P/3p.

The specific heat interpretations are--

CV E Cv(p,T),

CP E Cp(p,T).

'^These tables are extrapolated beyond the range of some of the P-p-T data used

for adjusting the equation of state. Small discontinuities may be detected at

T = 234.0 K along isobars at P > Pc = 44.61 bar, due to change in the paths of

computation, section 3.

97
Table 15. Thermophysical Properties Along Isobars.

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98
NITROGEN

TRIFLUORIDE

ISOBAR

AT

,50000

BAR

Table 15. Continued

(

1

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1 '' X _J ro ID ID 00 00 oo 4 o 4 4 ro ro CD CM (D Pw GO 4 M3 4 v0 ro a 0 to CM P^ CO 4 PM 0 CD 0 CJ 0 0 0 CM 4 CM 4 8 2 ro o • • • • • • • e • e • • • • • • • • • • • • • • • • • • • G • 9 • • • • • 9 B • • • « • • 0 • X CM N. r<. CM ID CD to M3 00 00 ro LD C- N. GO CD to vO CD to P. t4 4 p- CD tH o t-4 4 to o to ro 0 CM o 4 0 p. p- tH

N, K CD (D CD CD o ro r^ <r> eo 00 CD o CM ID CD J" GO <X> ID 0 P- O ro p^ ro 0 0 4 PM CM OJ ro 0 p- o to GO ro <n 4 O 0- 0 ”> (M CD v£) ro o CO ID DJ CD CM CM M3 o ID CD ro r^ CM p- <0 tH 0 T^ rw CM p. ro OO 4 CD sC OJ 0 4 CD 0 ro 0 0 OJ GO 0 CM <30 0

1' CM to to 4- LD ID N- N. r- oo GO to CD CD o O t-4 CM OJ to ro 4 4 0 0 0 P^ 0 00 0 o o t-4 OJ ro 0 4 0 0 0 > vH -4 CM OJ CM DJ CM CM CM CM PM CM CM CM CM CM CM PM CM CM fO ro ro ro ro 0 0 0 0 0 ro

1' Ul _J ro ID vO ID 4 ID 4 CJ M3 CD ID CM CD ro CM 4 LD 4 OJ M3 0 CO tH J- ro 0 0 CD 0 J t-4 0 ro t-4 CO N. J' o CM GO p. 0 CM

wr o » a • • 9 9 • 9 a » 9 o E X U) \S\ •H M3 CD CJ LD cy CM 00 ro D- M3 h- 4 OJ o CD 00 00 P- 0 4 tH GO CM LD 0 4 CD to CM 0 T^ CD in 0 O T'J GO X N. <X> CO CD CD CD CD o ro M3 cy o H CM ID <30 to GO LD OJ CM ro 0 o 0 T-l to 0 4 4 4 0 P« CD to P- t4 P- ro 0 0 4 OJ o 0

P, CM CD \D ro o N. LD CJ CD H 4 r^ o ro r>- o ^ CO CM \0 o 4 ® ro P- CM 0 t-4 0 t-4 0 “H 0 CM p. CM <o ro 0 -t o 0 CM CO ro

E CM ro to 4 ID LD M3 M3 M> M3 D- N. CO CO <30 CD CD o o o CM OJ ro ro 4 4 0 0 0 0 GO CO 0 o o t-4 tH CM

-tH 'H t-4 CM OJ CM OJ CM CM CM PM OJ OJ CM CM CM CM OJ OJ CM CM CM OJ ro 0 to ro ro o _J o J- N- CM CO ro (O o o o CM ^ \0 O CD 00 00 CM CD CM o ID r». P- 4 0 PM 4 4 ro t-4 ro 00 CM 0 GO o CM ro 0 0 0 CM H 0

1 o o CD CO CM 4 U> \j0 \D o ro o N- ts. ID CD CJ CM PM o P- LO CM 4 o 0 T^ P- CM Pw CM p- t4 vO CD 0 0 ro GO CM 0 o 4 GO CM 0 0

i; V X fO ro CJ 4 ro r^ CM CD CD CM CM DJ J o CD oo r». ID 4 ro t-4 o 0 P- 0 4 PO tJ o p- 0 4 DJ o 0 tv. 0 Jt 0 4 0 to 0 4

o -J to ID CD CM o CD GO 4 ID CJ CM ro 4 ID ID M3 p- GO CD o t-4 CM CJ to 4 0 0 P- 00 0 cy5 a t-4 CM to to 4 0 0 p. OO oo 0 o

1 fO OO vC N. CD ID CO lf\ tH -M tH ^r~4 tH CM OJ OJ CJ OJ PM CJ OJ PM OJ OJ CM ro ro to ro ro to ro to 0 0 0 0 4 4

'd or <15 c^ vO ID 4 4 ro ro CJ CJ

,ro

1 o

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j o 1- CNJ D~ nO CD 4 CJ 4 v£> r- CJ 00 ID CD CM D- ro o -3* r^ r^ CD t-4 o 0 4 0 0 o 0— t-4 t-4 p- CO 0 0 r-4 CD OJ 0 00 O 0 to

1 o o PO o ID ro to 00 ro o 00 N. 4 ro r^ M) ID CD CD ro o o to 00 0 0 0 P. o 4 0 0 to €3 0 GO p- p- CO 0 t-4 to 0 r«» o T-<

L o V O' ro CJ o CO 4 ro M) 4 o CM CD CD o ro r^ CJ D- to o p- J- tH GO 0 4 CM o 0 0 4 ro OJ o 0 GO p. 0 10 0 4 0 CM CM t-4 O o

DLr a j- ID r^ N. CJ 4 o CO o o CO CD GO 00 N. p- M3 (D M3 ID 0 0 0 0 4 4 4 4 4 ro fO to ro ro ro ro to to ro ro to ro

L • o CD • • • • • • • • • • o o o o o o o CD o o o o o o o o o o o o o o o o CD o o o o CD o o o o

C ID to CJ 00 ID CJ CD t>~. 4 o o o CD o o o CD CD o O o o o o o CD o o o o o o o CD CD o CD o o CD o O CD o o CD

J- J- ro ro CM CM CM

l' ^

Tj N fO N- CM CM CD OO CO 4 r^ M> o 4 H 4 4 OO CD ID r** ro T-J ID CD 0 0 0 to 0 <o *4 CO CD 0 CM 4 OJ oo T-^ CM CM CD 0 H 0 00 O tH gar to CO CO o to CO 4 CO M3 4 D- r.- r». GO tH -H 00 OJ ID 0 0 to t*4 p- to 0 ro CO th to 0 tH ro 0 0 o CM to 0 0 p. 0 CD o CD 00 CO r^ M3 10 V0 ID ID .-1 CD ID o 4 «o O to LD vC <30 CD o t-4 CM ro to 4 4 0 0 0 0 0 p. p~ r». GO 0 GO GO GO to CD 0

o> o o o o o o ry o ID ID LD M3 r^ D- r>w GO GO <o CO 00 GO 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

!s

1 o o o o o o o o o o o> CD CD CD CD CD CD CD CD CD CD (D 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

UJ

r O -J ~J cr> oo vH o ID r^ D- N. oO ro M3 CO CD O M3 M3 ro D. CD CD CO ID t-4 0 0 PM 0 p- flO 0 0 0 0 0 o* 0 4 CM o GO 0 ro CD p- 4 »-« <o

t h«l O O CD CJ o CD CD o CJ ID o o o o CD CO M3 4 oo ID OJ CD M3 OJ to 0 tJ p- ro 0 0 ^4 r^ ro 0 0 t4 p. to 00 4 o 0 t-4 P~ 0 CO

' Qi > X r>- 00 O' CO o ro 4 LD r^ CD CD ID M3 CM GO 4 CD ID <0 CM 00 ro 0 0 o 0 t-4 to 0 4 0 0 tH 0 CM N. tf> 0 4 O UO -H 0

,1 O V CO fO ro 4 4 Jf 4 4 4 4

il' => _l O o o CO o o a C3 o cy N- D- <t5 CD CD CD o tH CM to ro s 4 0 irv 0 r^ r^ to 00 0 0 o o t-4 OJ CM ro to 4 0 0 0 P- fVi J

U. tH H t-4 t-4 T^ tH t-4 t-4 •H tH tH t-4 t-4 OJ CM CM OJ OJ CM CM CM CM OJ CM CM CM OJ

i

3 ^ 2 -J o C\J N. ’sH CJ oo oo O eo -H CD LD ro CD LD CM CD CM p- DJ CM 0 CO 0 0 0 O 0 t-4 0 •H fO to 0 OJ t-4 0 J- GO 0 0 •J ro vO OJ

1 Ul CM CM vO o CM CM CD to M3 4 4 LD GO CM 4 CM LD 4 M3 t-4 o t-4 0 0 0 0 r^ 0 ro ro 0 0 ro CM tH o o o t-4 OJ 4 0 to z O -i CO ID o 4 00 CJ ID CD CJ M) M3 CD to r^ CM to CD M) ro o r^ OJ O GO 0 4 ro r^ O GO r^ 0 0 to CM tH CD 0 <o P^ 0 0

Ul o • • • • • • • • • • CJ CM o o CD CD CO CO r^ P~ r^ PT. 0 0 0 0 0 0 0 0 0 0 4 J" 4 4 4 4 4 4 to 0 0 0 to o X U) u> ID ID 4 ro ro CM •H o o O o o o o o CD o o o o o CD o O CD CD O o o CD o o o CD CD CD CD O CD

' or

CM CJ CM CM CM CM CJ CJ CM CJ

1 1-4 Z f— i4: 00 o o C3 o o C3 a o M) M3 O o O CD cy CD o CD o o CD CD cy o o o o o O o o O O o o o CD o CD CD O CD CD O O CD

fi N- o o CO o Q O o o LD LC O o CD o o o o CD o o CD O CD o o o o o CD o CD O O o o o CD o O CD O O CD o o CD

CO o o o o O o o o CD CD o o CD o o CD o O (D o CD CD O o o CD o o O o o o <=> o o o O o o O CD O O o o O

{

i 
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U3 D. oo CD o CM ro 4 Jr 4 LD M3 r^ CO CD o CM ro 4 ID <0 r^ GO ro o tH OJ ro 4 0 0 P- GO 0 o tH OJ to 4 0 0 r^ to 0 O

tH CM fsj rj rj OJ CJ OJ CM OJ CM ro ro ro ro ro to ro ro to ro J' 4 4 4 4 4 4 4 4 4 0

101
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ISOBAR

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2

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Table 15. Continued.

X o in OD IT in <x> CO in CD m in <D O' J- OO ro tN. in CO PJ vC O' to 03 O' (\j m O' CM in CO o ro 03 O' CM 4* tN o CM in OO o ro in eo

UJ <o tH CD J- s. 4- tH J- j- in in vC <X) t'- r^ rs- CO 00 4> O' O' O' CD O o CM CM CM CM ro ro ro 4 4 4 4 in in in in

00 ro nj fSJ o O O' ta OO IN. ir4 tH t-4 H tH CO CJ CM CM CM CM CM CM CM CM CM CM CM CM CM CM CM CM CM CM CM

N.

3:

T^-< H tH

Ql V CO CVJ OO O' in J- O' fO oO ro 03 o J' 03 4- in OO tH in CO CD O OO 4 r>- CO 03 t-4 ro ro CD in 03 in CM 03 In. |N- 4 O' CM -4 CO O Ns N. OO o H O' nj N. 00 J- nj O' O' H O' CO 00 GO GO O' O' O' O CD O' O' flO n- 03 in ro O' 03 ro O K ro O' in 03 CM IN. CM 03 o ro CJ O O' o a -4 CM J- in CD o nj i\i ro 4- in 03 In 00 O' (\j CM ro 4 in 03 CO O' O' o H CM CM ro ro 4 in in 03 vC r^

t: N- S- >J3 r^ N. fs. s. J- j- j- j- -t 4- 4- 4- 4 4 4 in in in in in in in in in in in 03 03 03 03 03 03 03 03 03 03 vD lO

> V J- ir> o Ln in CM OD CM tH T*^ ro ro tN O' in 4- 4- in in 4 n- nj o lO O' O' 03 CD H O' in fO CO in O CM CM o 03 cn o O r>- o \ o ro fN- OO ro o O rH ro in OO vO in in 03 fN. <50 O' CD CM nj ro ro ro c'j CD O' OO 03 ro GO in CM cn in r^ CM r^ ro GO CM o r~> CO in ro CD CD CD CD O CD CO o T-< nj ro J- in 03 O' CD nj ro 4 in |N- CO CO O' o t~4 CM CM ro 4 4 in 03 03 |N- tN GO GO O' X Lr j- j- j- J- j- nJ- J- j- j- ro ro fO ro ro ro ro ro ro ro 4 4 4 4 J* 4 4 4 4 4 4 in in in in

i

in in in in in in in in in in in

00 H -1- N. in in sD tH j- o O' fO f>s o in o cn j- I'S 03 IN. 4 03 O' -4 ro 4 4 00 Cn tH CM O' J- 03 r^ 03 4 CM O' tN in in Ln GO

Ns ro O O' N. j- 03 vD in j- ro 4- o 00 CD 4 4 tH lO In in 4 (M CO H o lO CD CM CM o in O' O' in

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in J- ro vD ro m CM in 03 O' (O o in cn CM j- 03 n- <o ao 00 tN 03 in ro T-i cr* J- tH CO 4 y-i p- ro CO J' cn 4 O' ro In. CM 03 O' ro

(M lO GO o in CD CM J- vO OO o ro in r^ o> ro in N- O' ro in lO OO CD CM ro in h. CO ro ro 4 03 tN <T> o CM ro 4 03 cr O' CD nj nj ro J- j- in in rj csj CM to ro ro ro ro 4 4 4 4 4 in in m in in 03 o> 03 O) 03 03 Cn t'- h- In r** tN. IN. 00 00 00 CO <50 tH nj (\J CM nj nj nj CM M (\J nj INI nj nj nj CO CM CM CM CM CM CM CM CM CM CM CM CM CM CM CM CM CM CM CM CM CM

v£l OD tH LT'X)aD0J-O(JiK)(T'CrCr'<XD J’lOfON.-J-.HN.aOfOOf^CXJ

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-J r^ CM ro tH o o |N 4 03 CM 03 O t-4 CO tN ro in fs. in 00 4 r^ 4 ro ro CM 03 fO t-4 03 03 40 O' lO tN CO GO ro CM t-4 cr ro CM CM (M t4

2: •r-l O) in t-4 tH in to T-^ OO CM tN GO GO 03 ro O' ir» CM O' r^ 03 in in in in m 4 ro t-4 IN CM in 03 in 4 4 T^ 4 ro GO 4 in t4 CM

Nn 03 OO CT' O' O' cn o ro 03 t-4 o tN O' CM 05 O 03 ro CD O' O' o CM in cr 4 o fN in ro ro fO 4 03 cr (M kO t4 kO CM 00 in ro t4 CD cr

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tH CM ro ro 4 in in 03 03 03 kO rw rs- fN 00 40 GO O' cr o CD o t-4 CM CM ro to 4 4 in in kC kO rw N. CO CO cr CD CD t4 ^4 (M

tH t-4 t-4 t-4 t-4 t-4 t-4 T^ t-4 CM CM CM (M CM CM (M nj CM CM CM CM CM CM CM CM CM CM CM CM to ro ro fO ro

_l CD IN 4 CO 03 03 4 t-4 ro 03 CM N- t-4 t-4 O GO t4 t4 CM 4 o t-4 rs- O' tN CM in in ro cr ro k£3 40 GO tN in CM GO ro CO t4 4 fN cr o t-4 CM O in CT* O' o CD 4 r^ 03 tH 4 O CT' in 40 t-4 CM CM T^ o OO in CM cr 03 CM 40 4 cr in o in CD in o in O' 4 «0 ro tN t4 in o 4 00 X m 03 4 03 03 o in fO tH O' in ro O' 00 GO tN IN 03 in 4 ro t*4 CD O' |N kjO in to CM o cr OO kO in ro CM o 00 fN in 4 CM t4 O' GO kO 4

ro in O' CM o CD OO 4 03 CM 4 T^ T^ CM ro 4 in 03 fN OO O' CD t-4 tH CM ro 4 in 03 fN IN 00 cr O tH CM ro to 4 in kO tN CO 00 cr CD t-4

1 ro GO 03 O' CM in o in cr t-4 tH T^ <r4 t-4 T^ t-4 t-4 t-4 CM CM CM CM CM CM CM CM CM CM CM CM ro to ro ro ro ro ro ro to ro ro ro 4 4

fkT CO In 03 in 4 4 ro ro CM CM t-4

in tH tN O' CM o ro 03 O' tH 03 CD O' CM ro CD t-4 O' 00 CO t-4 fM ro ro tN CM |N eC3 in in CO CM 03 o CM CM o 4 4 CD t-4 OO cr •J- 4 fN to

Ns 4 00 CM CD CD in CD IN in kO P. 03 O' 03 CD tN ro lO 03 T^ 4 CD cr> o 4 cr 03 in in kO cr CM ts. CM OO in CM o O' OO tN tN CD cr o CM

O' ro CM tH O' in 4 tN 4 T^ CM CO 4 tN tN O' tH in O' 4 CD 03 CM cr in ro CD IN in ro cr ts. vO 4 ro t4 CD cr OO 03 in 4 ro CM t4 o

<3. 4 in N- r^ CM tH 4 o CO GO 4 ro CM tH t-4 CD O' CTk cr CO GO tN r^ rs. rs. 03 03 03 o> in in in in in in in 4 4 4 4 4 4 4 4 4 4

03 • • • • • • • • • • • t-4 t-4 t“4 t4 t-4 o CD CD O o o o o o o o CD o O o o CD CD CD CD o o o o CD o CD o CD o

in ro rw (M GO in (M O' IN 4 ro o O CD O CO CD o O CD o o o CD o o CD CD O o CD CD o CD CD CD CD o o o o O CD O o CD o

4 4 ro ro CM CM CM t-4 t-4 t-4

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t-4 tH o CD o CD o CD CD 4 4 in 03 03 r. tN rr. 40 <o CO 00 GO CO cr cr cr O' cr O' O' O' cr O' O' cr cr O' cr O' cr O' cr O' cr cr

CD o CD CD CD O o CD o CD O O' cr cr cr O' cn O' cr O' O' O' O' cr O' cr O' cr cr cr cr O' cr cr cr cr <r cr cr cr O' cr O' cr cr cr cr

_l O' 00 t-4 O in rN 03 OO 4 03 ro CM rs. 4 rs. in t-4 in 03 03 4 t-4 In ro fN tH 4 fN cr CD CM ro ro ro to ro ro CM t-4 o cr IN kX3 4 Pkj t4 O m CM T“4 o O' O' o CM in CD |N 4 cr> 4 O' ro IN t-4 4 tN CD ro 03 OO t4 ro 03 CO ro CM m fN cr t4 ro in fN cr t-4 ro in kO ro CD CM 4 kO X tN GO O' CD CD t-4 ro 4 in IN rs. o (M fN t-4 03 o in O' ro GO CM 03 CD in cr ro r^ CM 03 CD 4 GO ro r^ tH in O' 4 00 CM 03 CO in cr ro fN V ro ro ro 4 4 4 4 4 4 4 4

u o CD CD o CD CD CD o o o CD 03 03 03 r^ rs. o GO GO cr> cr CD o t4 t-4 t-4 CM CM to ro 4 4 4 in in k£3 03 kO N. OO GO O' O' cr CD O

t4 t-4 t-4 t4 t-4 t-4 t-4 t-4 t4 t4 t-4 t-4 t-4 t-4 t4 t-4 t-4 t-4 t-4 t4 tH t4 t4 T^ (M CM

o ro CO CM r<3 cr CD t-4 o t"4 03 cn ro CM CD in ro cr CD in to t-4 CD cr 03 fN CD CM CM fN fN CD in O kO t-4 4 in ro 00 cr IN O' rs. O' 03 tN V CM CM 03 O CM CM CM O' 4 03 ro 4 cn CM O O' CO 4 GO 03 O' rw GO tH GO tN cr CM tN ro tH t4 t-4 ro in cr ro CD 4 CD rs. in to CM t4 t4 t4

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CM CM CM CM CM CM CM CM CM CM CM

V OO O CD CD O CD o CD CD CD 4 4 CD CD CD CD o o O O O O CD O CD o o O CD CD O CD O o CD o CD o o CD CD CD CD CD o O o

GO CD CD O CD CD o O CD CD o o CD O CD O o o o O o o CD o ro o o CD O CD o O o o o o CD o o O O O O O o CD o

ro O O o CD O CD o O CD 03 03 CD CD O o o o CD o o o CD o o o CD O o O o o CD CD o o O o o CD o o o o o CD o

lO CD o CD O O CD CD o CD 4 4 CD CD o o o CD o o o CD O a o o CD o CD O CD o o o o CD o o o CD o CD CD CD o CD CD 03 <o O' ro t-4 CM ro 4 in in in 03 tN CO O' CD t4 CM ro 4 in 03 GO O' CD t-4 CM ro in k£3 r^ CO cr o t-4 CM ro 4 in 03 rs. CO cr CD

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IT\ ro fY- OO ro o O in in m O' CO t*- CO cn o yH yH (M ro ro ro to CM CM yH O' OO VJD 4 yH 00 in CM cy' in yH CVJ 00 ro 00 CM

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103

258
NITROGEN

TRIFLUORIDE

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Table 15. Continued.

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“5 CVJ cn 4- t-4 OO in rj cn N- (VJ ® CVJ N- T^ X) t-4 in O LA CD in o X) t-4 X) CVJ ® PO cn in t4 h- PO cn XJ CM GO in t4 GO X t-4 00 X

CVJ PO PO J* LA in X) n- Pn. N. OO CO cn cn O o t-4 t4 CVJ PM PO PO 4- 4- in in eD XI n- OO CO cn cn O t-4 t-4 CM ro PO 4- X X X

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104
Table 15. Continued.

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3T lA 4- J- J- J- J- J- ro ro ro ro fO ro ro ro 4* 4 4 4 4 4 4 4 in LA LA lA in LA LA in in in LA in in LA LA

V.

(/3 CD O' CO UD 4 tx CO ro ro 4 00 o- C3r> 4 O' CD o kO ro OO to CM 03 CD O' tH in CM CM n- A- to in 4 *rH 03 o to in N- cn AJ r^ to X 00 00 00 03 4 N. r^ AJ o yO 03 CO ro to 00 to AJ 4 o CM cjy ro to cn CM AJ O 4 03 LA LA n- 03 ro GO o CP in CP CM o n-

-J in ro O' CJ vO ro 4- tH in 03 4 cr> CM to <x> *H 4 yO N. oo 00 n- r^ 03 4* ro O' 03 to O to cn in tS 03 CM r'. 'H O) O in cn ro 03 n AJ vC LA 4 m 4 CD in in o CD CD oo 4- N. cn ro in N. O' to m N- cn CD AJ 4 U3 K O' CD AJ 4 in K CO O to 4 in rv. flO X cr cn CD tH AJ AJ ro 4- 4 m in O) 03 AJ CM CM CM CM ro ro ro ro ro 4* 4 4 4 4 in in in in in in 03 lO 03 03 03 03 r^ n- K- n- n- N- A-

”3 H H 'H ’t4 T^ AJ CM CM CM CM CM CM CM CM CM AJ CM AJ CM AJ CM CM CM CM CM CM CM (M CM CM CM CM CM CM AJ CM CM CM CM X -J fO X 00 03 in in r-l cO 03 OO 03 in 00 tH X O CM in 4 ro 03 cn 4 CM ro 03 tH 4 03 ro to in LA o o o O' 4 CM to CM 00 CD 4 cn CM to X fO ro AJ OO CO CD ro in OO 4 X CM CM O X to CD AJ tH €0 ro X tH 4 03 X oo X in AJ X o tH CD 03 O' CO in GO X CM AJ O' CD 03 oO 4

:| N. AJ 00 O CD CD O H AJ 4 CD ro in ro O 03 AI GO in AJ tH CD tH CM 4 X tH 03 CM O' 03 in 4 J- 4 in X o ro X AJ X AJ cn in CM o

CM o X 4 00 in CM cn X in 03 CO CM 03 t-4 in o in o in O in o in tH 03 CM X ro O' in 0-c X ro cn vD CM CO in tH CO 4 tH CO in

, '1 AJ ro ro 4 in yO X r^ X GO <r» cn O' o o tH tH CM CM to to 4 4 in in 03 03 X oo 00 O' cn o tH tH CM ro to 4 in in O)

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tH tH tH CM CM AJ AI CM AJ CM CM CM AJ CM CM CM CM CM CM CM CM AJ ro ro ro ro ro to ro to ^o ro

(i UJ _J ro in AJ 03 CD in 03 in O' ro ro AJ 4 o tH vO OO O in tH AI O X CM 4 4 CO 4 AJ hx X tH in 03 fO tH CD 03 03 O' (M ro cn cn o ^ o

j X 4 4 ro OO CO r^ ro in to N. rs. AJ in tH AJ tH X ro OO ro X AJ lO CD to 03 00 CD X in o ro 4 CM X 03 CD tH X cO in CO in X 1 X 03 CO <D OO CO (P o AJ 03 H <o AJ 03 in tH X 4 tH o O' o tH 4 X CM X ro CD GO X A* GO o> tH 4 X tH iD CM 00 4 tH O' X iS) in

1 “3 AJ <n lO to o X in CM cn X 4 03 in 00 CM in cn ro X O in cn to X CM 0) tH 03 O in O in o 03 tH 03 CM X ro GO 4 o in 0H X to AJ ro ro 4 in in 03 X X 03 03 X X A- <30 CO cn O' cn a o tH tH CM CM to to 4 4 in in 03 03 X X CO GO cn o CD tH tH fM

i tH tH tH tH tH tH tH tH AJ CM CM AJ CM CM CM CM CM CM CM CM CM AJ CM CM CM AJ AJ ro ro to ro ro

j a -J H N- 4 03 X cn 4 OO 03 4 CD 4 CM CM to to O in 03 r^ CM in 03 CO tH cO CO to ro O' •H a in GO GO yD tH in X X in CM GO to <S) cn Q o tH cn ro o 03 4 <o CM 4 ro in CO in X CM tH 03 A* O) ro O' to 03 CO CD o o o O' X 03 4 tH GO in CM cn in tH X to cn 4 o in o

.! X X in ro CD CM 4 cn rs- 03 4 4 cn O' tH tH ro 4 4 4 4 4 to to CM tH tH CD cn CO yD in 4 to CM o cn 00 03 in 4 CM tH cn ® X in 4

CL X

1 o -1 4 X 4 CM H cn in X 4 in cn ro CM to 4 in 03 X CO O' CD tH CM ro 4 4 in 03 X OO cn o H tH CM ro 4 in 03 X 1^ «3 O' o tH

1 • ro 00 r^ X cn AJ in CD LA ^ r*x ro ro tH tH tH tH tH tH tH AJ CM AJ CM AJ CM AI AJ CM AJ AJ ro ro ro ro ro ro to fO ro to ro ro J- 4

K

BAR CO r^ 03 in 4 4 ro ro AJ AJ

IK 1- AJ ro tH ro tH O' m 03 fO 4 «D ro <o tH X cn tH 03 in X CD to in 00 m 03 ro tH 4 X 03 CO CO LA X CD ro 4 to X in X tH X 4 0-t A- o X AJ CM in fM t-4 m 0-1 cn cn 4 ro 4 ro O' in o> CM in 00 oo CD to in in CM in to in tH tH 4 o (y\ O 4 cn %D in in X o in O X ijf\ ro m X o' 4 rw U' ro O' 00 OO in <o 03 in 4 4 X in X tH X in in in 03 CO tH 4 GO CM hx CM X to oo in tH X 4 tH oo in to O ao in to tH

CL <r 4 rH LA CO X AJ AJ 4 CD OO CO CD A- yD ro o CO 03 in to Ai tH CD <n OO X 03 03 in in 4 4 to ro ro AJ CM CM tH tH tH tH o o o O

in Q CO to ro ro CM CM CM CM AJ CM CM tH tH tH tH 0H tH tH tH tH tH tH tH tH tH tH tH tH tH tH tH tH

LA ro X AJ 00 LA AJ O' 4 CM CD CD CD CD CD CD o CD O o o O O CD CD O a CD CD O o o CD CD ro O O O O CD O O CD O O

4 4 ro ro CM AI AJ tH H H

<r M cn 00 cn CM AJ 4 X X N- 4 00 03 tH CO 03 X CO CD tH AJ O 03 in tH CD ro to 0) O) r^ O <o to 03 O 4 tH tH 4 CM in to <J0 CO 03 o CM

;C3^ ro 03 ro X 03 cn in 4 in 00 CM OO oo ftn X X in tH O' 4 O' in in CD O 03 O' cn X to GO CD CM CM CM o GO in tH X CM X tH in cn to 03 4 AJ cn yD 4 AJ o cn CO CO X X X ro CO o CD X 4 O' 4 CO CM in X O' tH ro in 03 03 CP O tH CM AJ ro 4 4 in in 03 03 03 X X

jiCQ ro ro CM AJ AJ AJ CM CM H tH tH tH tH CO CD tH ro 4 4 in in 03 03 X rs. X A- 0C5 GO 00 GO GO oo O' cn cn O' O' cn cn cn cn O' O' cn cn O' iS

l!M o CD CD CD O CD CD o O O CD CD O O' cn O' cn O' O' cn cn cn O' cn cn O' cn cn O' cn cn cn O' O' cn cn O' cn cn cn O' cn O' cn cn cn

lUJ Q _1 CP ao CD O' 4 in in in in CD ro CD X yD in ro in ro <£> ‘D tH CD 00 4 CD in O' AJ in X cn tH CM to ro 4 4 4 ro ro CM tH CD cn 00 03 LA M o o cn AJ cn O' cn CD AJ in CD 03 in <o ro O CD cn GO 03 in ro tH CO 03 4 tH 00 03 to o r^ in CM cn 03 ro o X 4 tH CO in CM CO m CM cn

CK 3> X X 03 cn cn o ro 4 m X cC CD o in X cn o CM 4 03 OO O tH to in X GO o CM 4 in N. cn o CM 4 03 X cn tH AJ 4 03 X cn th CM

1 O X ro ro ro ro 4 4 4 4 4 4 4 in in .3

-J

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rD CD o CD CD CD CD o o o CD O AI CM CM to ro ro ro ro 4 4 4 4 4 4 LfN in in in in 5 6 03 03 03 03 yD X A- X X r^ X oo OO

1 *-• wJr- X ro X cn 03 OO CM in AJ tH o CD X <n tH tH \0 in ro OO o 4 00 tH 03 in ro 4 4 cn sD ro 03 ro to fO CM O' CM tH to O' X 03 03

1 IM X AJ CM O CM ro CM CD in X 03 CD 03 to 03 4 tH 03 ro <n o to eo tH CM tH in in o cn CM 00 OP tH 03 4 4 03 o la ro CM CM to yD o in T2 O _t ro T-l in o 4 CO AJ 03 cn CM in oo 03 4 cn 4 to 4 GO ro tH O' CO <n o CM 4 rs. tH 4 cn to GO 4 O' in tH X 4 O X 4 tH GO in to a

U o • • • • • • • • • • • • • cn 03 4 CM O CO X 03 4 to CM CM tH CD 0> cn OO rx X 03 03 in in 4 4 4 to ro to CM CM CM AJ ko X 03 VD in in 4 ro ro CM o cn O' ro ro ro to ro CM CM AJ CM CM CM CM CM CM tH tH tH tH vH tH tH 0-4 tH tH tH tH tH tH tH tH ^ tH tH

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2 V 4 CD CD CD CD o CD O CD CD CD CD 4 4 CD CD CD o CD CD CD CD CD CD CD o CD CD CD O O CD CD O CD CD o CD O O O CD CD CD CD O CD 4 O C3 O CD o O o O CD CD O rw A* CD a O CD O O CD o O O CD o CD O CD o o CD o o CD O O CD o o O O O O CD O O

4 o CD CD CD o CD o CD CD O CD X X o o O CD o O CD o O CD O o O o CD o o CD CD O CD o o CD CD CD o O O o o o o

03 CD CD O CD o CD o O CD o CD tH o CD CD CD o o O CD o O o CD CD CD CD o CD CD O CD O CD o o o o CD o CD o O CD o

03 OO cn CD CM ro 4 in yO X N. A. 00 cn CD tH AJ ro 4 in 03 r^ GO cn CD tH Ai ro 4 in 03 X GO CP o tH AJ ro 4 in yD r^ CO (P CD

tH vA T-J vH tH tH tH tH AI AJ AI AI AI CM AJ CM AJ AJ ro ro to ro ro ro ro ro ro ro 4 4 4 4 4 4 4 4 4 4 in

10 5
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Table 15. Conti nued

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t/) ro CM (M 0 0 cr> 00 QO r«- vO v£) in t-4 iH tH tH H tH 'H CM CM CM CM CM CM CM CM CM CM CM CM CM CM CM CM CM CM CM CM (M %

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tH tH tH

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t: N. N, N- N. h- N. N- N- N. 00 4 4 4 4 4 4 4 in in in in ITS in IT» in in Lf> ir» ITS UJ UJ U) U) UJ UJ UJ UJ UJ lD UJ UJ UJ vD

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fO 1-4 CM (p UJ ro UJ in b- 4 CM CP m Ul CM GO 0 O' 1-4 4 p. 4 CP p- (p GO in CM H t4 MO 4 r^ in CD CM 4 CO to CO iH in CP ro CO UJ CO CO r***. in ro Ul lO 1—4 GO 4 UJ 4 CP ro CM CM CM p. m GO pw i4 CM CP ro 4 CM p- CP GO UJ <p 1*4 i4 GO to Lb UJ 4 i4 Lb GO UJ ro in ro CP CM UJ ro 4 1-4 in in 4 1-4 bw ro 4 0 4 t^ CP 0 1*4 t4 1-4 1*4 0 QO p. in to 0 p- t4 b- 4 CD in i4 UJ i4 U) 4 in O' fO p- t4

CM UJ in 4 1-4 GO 4 CD in 0 in CD CM CP CD ro in P- CP CM 4 UJ CO CD CM ro in p- CP i4 PM 4 UJ t- CP CM 4 UJ p- 00 0 1-4 PM in (p (P 0 1—4 CM CM ro 4 in in Ul UJ 1-4 (M CM CM CM CM ro ro ro ro 4 4 4 4 4 UJ in in in in UJ U) UJ UJ UJ UJ UJ p- p. P- b. p- p.

1-4 1-4 1-4 1-4 1-4 ir4 1-4 1-4 1-4 1^ IH CM CM CM CM CM CM CM CM CM CM CM PM CM PM PM PM PM CM CM CM CM CM CM PJ PJ CM CM CM PJ CM CM CM CM CM 0 0 0 CO Ul in 0 4 ro CM p. CD CP CD CM CM (P CP P- to PM 00 4 CP in CP t4 CP i4 in CD i4 CO 00 UJ 0 UJ 4 i4 4 CM CM to CM 00 00 UJ 1-4 1-4 1-4 U) GO iH CP 4 CO to CM CP OO ro in IP ro CP in CP ro LO b- UJ UJ t4 UJ CO P- 4 CO CP p- CD 0 UJ 4 UJ ro UJ i4

CM 00 0 1-4 1*4 iH iH CM in 00 ro 1-4 Ul CD 1-4 CO 4 (p UJ U) U) OO 0 4 00 ro (P UJ 4 CM i4 i4 CM ro IT 00 CM UJ 0 UJ b. 4 i4 CP

CM CD 4 iH CO in CM (P in CP CP 1*4 in 0 in CP 4 CP 4 CP 4 0 in CD vO ip4 t.- ro IP UJ i4 bi. to CP in PJ GO in t4 00 4 t4 oO 4 1-4 iH CM ro ro in in UJ r^ p- p.. 00 00 (P CP CP CD CD 1-4 4 CM ro ro 4 4 in in UJ UJ b- GO <0 O' CP 0 i4 1-4 CM ro ro in in UJ

1-4 1-4 1*^ i4 i4 1-4 CM CM PM CM CM CM CM CM CM CM CM CM CM CM CM CM CM CM to ro to to ro ro ro fO to ro

CM CD in 00 CD ro CM CP CP 0 in 00 CD CM 0 b- GO CM 0 tw CO 4 UJ 4 bi. 4 i4 CP ro ro 4 in 4 UJ i4 UJ U) bj CP p. CM CM UJ 1-4 UJ p.

in 4 CM s. r<. UJ CD 1—4 ro CP 0 ro CM 1-4 b- 4 p. CO b> 4 1-4 CO 4 CD in 0 4 lO 00 00 UJ CM UJ P- UJ i4 to CM UJ p. 4 UJ ro ro Lb

UJ GO GO GO GO (p CD bj in 1-4 GO ro ro CP in (M (P p. UJ U) p. 00 iH in CP in t4 GO UJ IP UJ UJ p- CP CM UJ CD UJ CD U) ro 0 CO UJ UJ 4

CM O' UJ ro 0 r^ in CM <p p- 4 CP UJ p- in 00 CM UJ 0 4 eo to p- i4 UJ i4 in 0 LO 0 in 0 in i4 
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1-4 CM ro ro in in UJ b*. r^ Ul UJ N- K K GO 00 CP CP CP 0 0 t4 i4 CM CM ro ro 4 4 UJ in UJ UJ N- P- GO CO O' 0 CD i4 i4

1-4 1-4 iH 1-4 i4 iH 1-4 i4 1-4 iH PM CM PM CM CM PM CM CM CM CM CM CM CM CM CM CM CM CM CM ro ro ro ro 0

U) UJ to 4 iH in ro <0 (p in CP K in 1^ CO 00 p^ to IP p. CM 4 4 4 in CP UJ GO 4 UJ to P. N. 4 CP 1-4 0 00 ro UJ <0 CP p- UJ

ro ro 4 0 in to UJ iH ro ro p- in GO UJ iH UJ UJ CM in IP to CD in CP CM 4 in UJ UJ UJ in 4 CM CD CD UJ to 0 UJ ro CP UJ i4 b. to CP

GO GO UI b- UJ (p 4 CM 1-1 CP CP 4 UJ CP in to O' 0 1-4 1-4 t4 t4 1*4 CD (P CP 00 fs. UJ in 4 to PM CD 00 b* UJ UJ to CM 0 O' 00 UJ in ro , 4 rs. 4 CM 1-4 CD UJ CO 4 in a 1—4 CD iH CM ro in Ul b^ CP 0 i4 i4 PM ro 4 UJ UJ P» CO CP 0 iH i4 CM to 4 in U) p. t^ 00 CP CD 1-4 ro GO N- h. CP CM U) CD in 1-4 4 CM 1-4 iH 1*4 1-4 iH 1-4 •H i4 CM CM CM (M CM CM CM PJ PM CM CM to ro to ro ro ro ro to ro ro ro to 4 4

CO r^. UJ in 4 4 ro ro (M CM 1-4 1-4 1-4

00 CD ro 1-4 CO in CM UJ 4 GO UJ CP to CD in 1-4 CM 4 CP to 4 <X) ro 00 CD CP (P CD in PM in i4 Ul (P p- p~ CO CP P- PM CM UJ ro ro 4

4 (p UJ 4 (P in ro ro UJ CD 0 4 GO 00 4 CO U) CM UJ ro p- in UJ u> UJ PM in 4 CP p. 0 UJ iC GO ro i4 t4 ro p- to i4 0 0 CM in cr>; d 4 GO UJ 4 0 CP CM 0 r.. GO CD CO 0 iH 0 CM CM 00 GO CD IP iH (p CO 00 CP i4 ro UJ CP ro GO PJ p. PM 00 4 0 UJ CM O' UJ to CD p- 4 1-4 i> tD 4 iH in to CO CM CM in 0 CO cr» CD 1-4 4 CM co LfN CM CD (p b*. UJ 4 to pj i4 i4 0 CP 00 b^ U) UJ in in lb 4 4 ro fO to to PM CM PJ

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• • • • • • • • • • • • • 4 4 to ro ro ro CM CM PM CM CM CM CM CM PM t4 i4 i4 t4 4 1-4 1-4 i4 4 t4 i4 i4 i4 1-4 i4 i4 iH k in ro bw CM GO in CM (p r.. 4 CM 1-4 0 0 0 CD 0 CD CD CD 0 CD 0 CD 0 CD CD 0 0 0 CD CD CD 0 CD CD 0 0 0 0 0 CD 0 CD CD 0 0

4 4 ro fO CM CM CM 1-4 iH 1-4 1-4 1^ 1-4

in UJ UJ 4 CM CP UJ eO iH ro ro ro 00 0 1-4 in ro in to IP in 4 r^ LTi CM ro s. p.. U) CO 4 UJ UJ UJ p. CP ro CM 4 i4 to i4 UJ UJ

H CM

' hC CM 4 CM 0 in in 00 m 4 UJ CP 4 CM iH CM iH 4 CP 00 4 0 00 CP in UJ 4 GO CP GO in 0 4 UJ p- b- UJ 4 CM O' in iH UJ 1-4 Lb (P tOj

ex' in CM (P hi. in ro CM 1-4 1-4 iH ro to CM UJ 00 K IP PM GO CM UJ CD ro UJ CO 0 CM UJ t^ GO CP 0 i4 CM ro ro 4 in in UJ UJ u> (J-

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jf 4 ro ro ro CM CM CM (M CM (M (M CM rj rw «J 0 1-4 CM to 4 in in UJ UJ p. b- r^ N- OO GO <0 CO to to GO CP CP O' O' (p CP O' CP CP O' O' O' ) (D CD 0 CD CD 0 0 0 0 0 0 CD 0 0 00 CO O' <p O' (p CP O' O' CP CP CP CP O' CP CP CP O' CP CP CP CP O' CP CP CP CP CP O' CP CP CP O' O') 0

M

O' CD ip ro m in 4 in CP CM GO CP UJ to in 1*4 CM CP IP GO CP O' 00 U) to CP in CD UJ (P ro UJ CP PJ 4 p. (P t4 CM 4 U' GO (P O' CD ;

lyQ O' CM i“4 CP CP CP CD CM in CP UJ 4 UJ CM CD rw 4 CD in i4 UJ 1-4 UJ i4 UJ 4 in CD in CP ro GO tM UJ 1-4 in CP ro GO CM UJ CD 4 GO CM UJ 1^ ^ N- CO CP CP 0 1-4 ro in UJ GO 0 1*4 1^4 CM ro in te. GO CD >r4 ro 4 UJ bw O' 0 CM ro 4 UJ b- CP 0 CM PJ 4 UI s. CP 0 CM ro 4 U) b^ (p , fC ro fO ro ro 4 4 4 J- 4 4 4 in in 0 CD CD 0 n n CD CD rD 0 CD 0 CD CD CM CM CM CM CM CM to ro ro fO ro ro ro 4 4 4 4 4 4 4 lb Lb in UJ lb UJ UJ UJ U) UJ UJ UJ UJ lO

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GO 4 (p iH CP 1-4 4 CP P- 00 r^ CP CM CM 00 CM iH CM CP CP UJ 0 in N- in CM GO CP t^ (p CD K bw UJ CM 4 CP in 4 in UJ 4 UJ PM

1

1 Hi

M

j. CM CM N. 0 ro ro ro 0 in b* UJ 0 4 ro O' 0 in 1-4 t^ p- UJ PM CM 4 in in ro GO GO 4 UJ 0 0 PJ GO p- O' ro CP GO (P i4 in i4 GO b- p.

fO t-4 UI CD 4 CO CM U) (P CM in GO ro 0 ro 1*4 to CD <p iH in 1-4 QO UJ in in U) p. CP CM Lb (p ro b^ i4 UJ i4 b- PM GO 4 i4 b- 4 CD P^ •T . 2 t^ IP CM CP p. 4 to 1-4 0 00 b- UJ in 4 fO CM CM 1-4 CD CD CP CP CO CO b. P. UJ UJ vO in UJ UJ 4 '*’1

ill UJ UJ in in 4 ro ro CM 1-4 1—4 0 CP O' 4 4 4 ro ro to ro ro to PM PM CM CM PM PM PM PM CM CM PM i4 t4 1-4 i4 1-4 iH 1-4 v4 1-4 i4 i4 i4 H|

0 CM CM CM CM CM CM CM CM CM CM CM iH iH

) 0

K

to 0 CD 0 CD 0 CD 0 0 CD 0 CD ro ro CD CD CD 0 CD CD CD 0 CD 0 0 CD CD 0 0 0 0 0 0 CD 0 CD CD CD 0 CD 0 CD 0 0 CD CD 0

h

N

2 UJ CD 0 0 CD 0 0 0 0 CD 0 CD (p CP 0 CD CD 0 CD CD 0 0 CD CD 0 0 0 ‘3 CD 0 CD 0 0 0 CD CD 0 CD 0 CD 0 0 CD 0 0 CD 0

4 0 0 0 CD CD 0 0 CD CD CD 0 UJ UJ 0 CD 0 CD CD CD CD 0 CD CD CD CD CD 0 0 0 0 CD 0 0 0 0 0 CD 0 CD CD CD CD CD CD 0 CD

Ui CD 0 0 CD CD CD 0 CD CD CD CD in in CD 0 CD CD CD CD 0 CD 0 CD CD CD CD CD 0 0 CD CD CD CD CD 0 CD 0 0 CD CD CD CD CD CD CD 0

UJ r^ CO CT» 0 1-4 CM fO 4 in UJ p~ r^ N. GO (p CD iH CM ro 4 in UJ GO CP 0 i4 CM ro 4 UJ Ul t^ 00 CP CD 1-4 (M ro 4 lb UJ t^ GO CP CD

1-4 1-4 1-4 iH 1-4 iH 1-4 iH 1-4 1-4 1—4 1*4 CM CM CM (M CM CM CM CM CM CM ro ro ro to ro ro ro ro ro ro 4 4 4 4 4 4 4 4 4 Jr in

106
1

Ej

Table 15. Continued.

3: o N- ra 00 OO j- O' j- cr> ro IfN r>- CO t o ITi O' flO (VI tO o ro N. o 4- O ro «n O' nj m cO t-4 4 r>- O' CVJ in 00 o ro m OO UJ O' J- s. j- h- tH J- 00 ir\ j- 4- n\ U3 vO vO fs- OO CO <T* <n O' CD o o >-4 •H tH CVJ (VJ (VJ ro ro ro ro 4 4 4 in in in in

C/l ro CVJ cvj rH o o cr OO CO K \D ^£) IT tH H (VJ CVJ M nj ni M nj (VI (VJ (VJ (VJ (VJ (VI CVj (VJ (VJ (VJ (VJ CVJ (VJ (VI V

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CD 4 4 4 ro ro ro ro (VJ (VJ (VJ (VJ CVJ CVJ in 03 flO CD yA (VJ ro 4 in in vO vO vO rx X X OO 00 CO 00 eo 00 CO (p CP (P CP <p CP (P (P CP CP CP o

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fir 2 N- OD CP CP o ro 4 in vO flO o (VJ 00 eo CP (VJ 4 in vO OO (P o (VJ ro 4 in X to CP CD (VI ro 4 in X 00 (P o yA ro 4 in U5 OO (P o X ro ro ro ro 4 4 4 4 4 4 4 in in

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hA 2 -1 yA CP U3 ro 4 OO O 4 ro LfV 4 (p \0 ro vO 00 U3 a CD 4 yA vD ro ro in vO (VI uv tH vn vO OO CD CP 4 CM (Vi (VI X CD 00

txJ X (VJ (VJ X yA ro 4 ro CD vD OO X vO CO to X fO ro 4 in CVJ (p ro yA (VJ ro 4 ro CP (VJ o 4 (VJ in wH 4 CP yA m (P (P CD 4 00 2 O _l ro m CD 4 00 (VI vD (P (VI in 00 CD vO CVJ o vO rx (VI o yA ro eo 4 yA (p 00 OO OO o (VJ 4 rx o 4 00 (VJ X •H X (VJ 00 ro CP vjD (VI <30 UJ o • • • • • • • • • • • • • 4 4 o vO ro yA <p X in ro (VI yA CP 00 X vD vO in 4 ro ro (VJ yA CD CD (P (p CO 00 X X hx O 2 vD vD in m 4 ro ro (VJ yA H o CP <p in in in 4 4 4 ro ro ro ro ro ro (VJ (VI (VI (VJ (VI <v (VI (VJ (Vj CVJ CVJ (VJ (VI (VI yA yA yA tH yA o

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00 CD CD o CD CD o CD CD o O CD in in CD CD O CD o o O CD o o O O o CD CD O O CD O O o CD o O o CD o O CD CD O CD CD s O CD o O CD o CD O CD o CD yA O O CD O o CD CD O o o o o o O O o CD CD CD O CD O CD o o O o O O O o O O

vD CD CD a o CD CD O o CD o O CP CP O o O a o O O CD o o CD CD CD a CD o O O O CD O CD O o CD CD o O o CD o o CD

vJ3 X 00 CT' o yA CVI ro 4 in vO X X N. <o (P o yA (VJ ro 4 in U3 X CO CP CD (VJ ro 4 in U3 rx CO CP O (VJ ro 4 in U3 rx CD O' CD H yA tH T-» yA T~< (VJ (VJ CvJ (VJ (VJ CVJ CM (VI (VI CVJ ro ro ro ro ro ro ro ro ro ro 4 4 4 4 4 4 s 4* 4 4 in
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Table 15. Continued.

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cr> O' o tH CM ro hO 4- 4- X X X X X (NJ CM CM CM CM ro ro ro ro ro 4 4 4 4 4 X X X X X X X X X X X X X fv t'— h— r tH tH 0 r-4 CM CM CM CM CM CJ CM CM CM CM w CM CM CM CM CM (NJ CM CM CM CM CM CM CM CM CM CM CM CM CM CM CM C X -J fO LD ID tO OO X) CD CD X CD 00 r^ 00 C'- X X GO 4 H 00 -.t X O vO CM CM X 00 00 4 ro 4 X O o X X fv 4 4 X XXL I X ro C\J 00 N. s- 4- X ro ro rw o OO CD cn O r^ X X t^. to X X K X (NJ CD yA CD tv. CM 4 X X CM t-4 X tv .i rv X oo X X r V fO CD 0 tO ro ro X CD 4 ro CD fSJ o o CO X X r-- 00 o ro r^ CM tv. 4 tA X rv tv tv 00 X CM X 00 CM lv CNJ ao 4 t-4 OO V "> rj o N- J- H « X fo CD D- X ro X o 4 CD ro 00 ro OO ro CO 4 X 4' CD in t-4 fv CNJ CO 4 CD X CM X X t-4 CO 4 t-4 tv 4 t-4 r-- tH CM ro ro 4- X X X to 00 CO ao 00 X X CD CD H y^ CM CM ro 4 4 X X X X rv GO oo X X O t'4 t-4 W ro X 4 X X 1. ^ tH tH CM CM CM CM CM CM CM CM CM (NJ CNJ CNI CM CNi CM (\J CM CM fO X X X ro ro ro ro X r

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c T-^ ro T cr vD o ro X X D. ro CM X o X o X 00 X X y^ X O OD X X rw X O CM CM o X CD ro X X X 4 CM X X (NJ <x) ro 0. X .t CM K ro O' X J- CM tO o X CO OO oO X CO 4 r^ oo N- X tH N. tH X X CM X 00 o (NJ 4 X S. oo X O CM X X 4 X X X d

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Table 15, Continued.

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o OO rj o o ro D- CM rw DJ GO <\j ID ID N- ID CO ro O' J- OO ro t'. ID eo DJ ID CD DJ ID (D CM O' 00 4- X) O' CM Xi CO o ro ID

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CM 00 CD 4 X X X X X ro DJ DJ X X ro X ro r^ X X IS 4 CD X o X CO DJ 4 rs X ro X rs eO X o tH DJ ro 4 X X

<o IS X X X X 4 4 4 4 4 4“ 4 4 X CM X r^ X CD CM ro 4 X X X X X r^ h. rs N* OO OO eo OO flO CO X X X X X X X

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Table 15 Conti nued

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<t vi3 CM CM J- <o j- o N. CM cr cr GO GO ro cr yD ro 4 in S- K yO to cr in cr 4 00 4 rw cr to in N- GO cr o CM to 4 4 in

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L 2 -1 CM CO vC to K oo ro CD N- yO CM 4 4 to OO CM CD ro O CM to CM tv yO tv CM 4 tv CM yD O' in iH yD cr H VJO tv cr yD ro oo iD 4 CD CD to UJ N. CM to cO CM J- in in to 00 yD m in rs. yD in vD cr o N. in tv to 4 in o \0 H in CM CD tv to 00 cr t. 9-4 9^ iD in cr tv cr 4 CM 2 a _J ro in O CO CM cr ro ID GO CD 4 yD yO o yD w to in CM CM in *4 GO CO cr in O in CM O' yD vD yD yO r^ GO O CM in OO

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T-^ tH 'tH t~4 tH a !sir JD N. UJ O O ro <o AJ UJ Cd LA O' OO ro 4 AJ ro 4 ro AJ UJ A- UJ UJ 4 UJ AJ O' A- 4 AJ eo ro r.. O' O' eo LA CD 4 UJ UJ 4 CD LA O' o U5 N- O' O' H UJ lA UJ CD O' ro LA rd UJ CD UJ ro ro CD LA 4 UJ CD to Td A- 4 a A- 4 rd rw 4 o iD Al eo 4 CD LA O LA CD LA O' fO o (O CM ry O O' O O rd AJ 4 lA CO d UJ ro 4 UJ O' UJ lA 4 4 4 LA LA U) UJ A- 00 eo O' CD o Td AJ AJ ro ro 4 LA LA U) UJ A* A- A- oo

j X N- r^ UD N- r^ r^ r^ CO CO O' O' UJ Lf> lA LA LA LA LA Ul LA LA LA LA LA LA LA UJ UJ kO UJ UJ UJ Ul UJ kO U) UJ UJ U) U) Ul

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UJ _i N- -3- A- UJ ro CO UJ OO CD ro AJ ro O' CD CD LA UJ UJ Cd Cd rw rd r^ CD CD rd UJ

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tH AJ ro ro 4 LA lA UJ r^ OO O' O' o UJ r^ <30 CO O' O' CD CD O Td Td Cd Cd ro ro 4 4 lA lA Ul A- A- GO 00 O' O' o rd rd AJ d Td Td rd •H Td Td Td AJ AJ (d Al AJ AJ AJ AJ AJ AJ fd AJ AJ AJ AJ AJ fd AJ AJ Cd fO ro ro ro Q _j O' lA O' CVJ ro ro A- H CD d ro OO CD CD Ul LA LA Td Td fO ro oO O O' O' Ul AJ o ro ro CD rw LA to lA O' A. O' UJ eo lA O' 00 4 A- Q o to C\J UJ UJ UJ 3rd ro UJ 4 4 UJ CO AO OO Td O O' Td ro AJ Al UJ 4 O' O' A- ro O' O' oo U) AJ eo ro rw o ro LA r^ CO O' O' O' O' CO V X o lA O' 00 LA OO (\j CD O' OO O' UJ 4 O' lA lA UJ LA ro OO AJ la r.. O' o rd AJ ro ro ro ro ro ro ro AJ AJ Td rd O O' 00 A- UJ LA 4 ro AJ

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M O' o -3 o lA O' CD U> AJ lA UJ AJ lA O' Td LA ro LA UJ O' 00 CO lA N- rd OO O' rd Cd r^ O Ul OO 00 o tf> 4 rd UJ o 4 O' -- 1 0^ vD t-4 o J- N. ro O' ro Lf> tH ro O' CD rw d Td ro AJ CO 4 OO ro CD to fO o ro O' o O' ro ro rd lA A~ A- Ul AJ N. rd AJ lA lA 4 ro 4

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cn o o O' CO rw r^ UJ UJ UJ UJ lA LA lA LA LA LA lA O' AJ lA r^ O' o rd Cd ro 4 4 lA LA Ul UJ A- CO 00 00 CO CO O' O' O' O' O' O' : ! o

(/) o C3 o o CD CD O o CD o CD o CD o A- N, 00 CO eo CO m O' O' O' O' O' O' O' O' O' O* CT» O' O' O' O' O' O' O' O' O' O' O' O'

UJo -J -J O' LA OD UJ o -4 CD OO A- O' O' vd ro d LA H AJ O' O' AJ Cd O' 4 fs. O' o O O' oO UJ ro CD N- ro O' lA rd vO H UJ rd lA O 4 CO Al UJ 'j h-* o o O' rj o O' O' O' O 4 CO ro 4 O AO LA 00 UJ 4 AJ O' LA Cd oo 4 Td AJ 00 4 o UJ rd fs*. fd CO 4 O' lA o UJ rd N. AJ hr ro CO ^ Qi X A- OO O' O' o H ro 4 LA ^ OO CD CJ LA CO OO A- <30 O' CD CD Td Al AJ ro 4 4 U\ LA UJ r^ A- CO «o O' O' o o H Al Cd ro ro 4 4 LA LA ! O N. f*o ro ro ro -T j- -3 4 4 4 4 lA lA LA U' LA

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t- z -I fO o O' UJ tH AJ flt> rv. 4 LA ro CO Cd r^ CD 00 4 N ro Td CD A~ ro oo rd O' vO UJ A- r^ 4 Al 00 flO Cd Al O' N- o ro o oo ro rd CD

- i vO ^ •' UJ N. CNJ J' OO AJ LA U) lA ro O' (\J AJ A- rw r*- ro O' CD flO CD CD LA UJ OO A- O rd Td OO LA CD o ro r^ AJ A- o o 00 ro ro O' O' lA LA O' UJ z o _J ro tH LA o j- 00 OJ UJ O' ro UJ OO CD tH d CD 00 CD 4 CO lA Cd UJ rd O' o ro O' rw CO CD ro eo ro O h- 4 ro AJ rd rd Cd ro UJ UJ o N lA u\ A. rd UJ rd A- 4 o <o lA AJ CD 00 UJ lA ro rd o O' A- UJ LA 4 ro Al Td CD O' o X vD UJ lA LA ro fO AJ *rd d CD O' O' OO r^ Cd Td CD O' O' OO CO A- A- A» UJ UJ vO UJ LA lA LA LA lA LA 4 4 4 4 4 4 4 4 4 ro ro rij o CJ CJ Od C\J AJ AJ AJ (M Cd AJ Cd d d Td Td

1—

rd rd Td z *— o o C3 o o CD CD O CD CD CD CD CD CD o 4 4 CD O CD CD o CD CD CD o o o o CD o CD CD CD CD CD CD CD CD CD CD o o CD CD CD CD .

^ u^ o o o o CD CD O CD CD CD O CD O o o CD O O O O o O CD O a CD o o CD o CD o O CD O CD CD O O CD o o CD CD CD CD '

* UJ o o o o CD O CD CD CD O o CD o o 4 4 O CD O o o CD o o CD O CD O O o O o o O o CD CD o a CD CD o CD O CD CD

vD o o o o CD o O CD CD o o CD o CD o CD o CD CD o CD CD CD CD CD o CD O O CD CD o o CD CD O O CD O CD CD o O O CD CD

U5 A- oO rr» o rH CJ ro 4 LA UJ r^ CO O' CD CD O Td fd ro 4 lA U) A- an O' CD T-l AJ ro 4 LfN UJ rw <30 O' «=> •H Cd ro LA U) CO O' CD H H “rd d d Cd Cd AJ AJ CJ Al Cd Cd Cd Cd Cd (d ro ro ro ro ro ro ro ro ro ro 4 4 4 4 4 4 4 4 4 4 LfN

112
Table 15 Continued

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113
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CD LD X ID OO (D X ID 4 LD 4 4 4 r^ CJ JD CD ID CJ CD o OO 4 X CD o CD CP X ID CJ GO LP ^4 J) CJ X CJ JD t4 ID CT ro X t4 J* OO O o CD (J CD CD 00 00 CD 4 OO 4 CM ro OO »4 4 CD ro t4 X 4 CD LD CD LD cO CD LD o ID O' 4 CD ro CO <M X 4 J) CD 4 CD ro CO <M JD :> X X CO CD O' a CJ 4 LD JD GO CD CM 4 CO t4 vO J) rw X 00 00 O' CD CD t4 ^ CJ CM ro ro ro 4 4 LD LD JD JD X X GO GO GO O' O' o O i\ X ro ro fO ro 4 4 4 4 4 4 4 LTV LD ID ID JD CD CD CD o o CD o CD CD CD CD O o o o o t4 4 4 ^-4 ^ t4 y^ t4 ^ t4 4 t4 v4 ^4 v4 ir4 ^4 t4 t4 CM CM JI.I

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114
Table 15 • Continued

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Table 15 Continued

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CJ CM (M CM fM CJ CJ CM CJ CJ CJ t-4 t4 t-4 t-4 t-4 CJ eg t-4 t-4 t-4 t-4 t-4 t4 t4 t4 t-4 t-4 t-4

t— V C-. CD o CD o CD CD CD CD CD CD CD CD O CD O d d CD CD CD O CD CD CD CD o CD o o CD CD o CD o o o CD CD CD CD CD CD o o CD o

ro o o CD CD O O CD CD CD O CD CD CD o o X X O O O CD CD CD O O CD a CD o O CD CD CD o CD a CD O O O CD CD o o CD CD

oo o CD O o CD CD O CD O CD O CD O CD o CJ CJ o o CD O CD CD O o o o CD o o O O O o O o O o o CD O CD o o CD CD X CD CD CD o CD O o CD CD O CD CD CD O o X X o CD CD o CD CD o o CD o CD o o CD o CD CD o CD o o o O o a o o o O

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^4 ^4 t4 t-4 t-4 t-4 t4 t-4 t4 tH <M CM CM CM CM CJ <M fM CM CM (M <M fO ro ro ro fO ro ro ro ro to d 4* d 4- 4- 4- d 4- 4- d X

)

117
Table 15. Continued

3 o ro <T> s- O' CM <jD tH 4- r*- ro UJ r- tH cr ro cr UN r^ CM IN- CM N- rA UN cr CM UJ CD ro nXJ o ro <XJ O' CM UN 00 ro UJ cr

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118
Table 15 Continued

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121
Table 15, Continued

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Table 15.

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(VJ 4 00 ID fVJ CD yD ro C3 CO ID ro T-i CD CD CD CM rw CD CD yD 4 0 fy- 4 0 fy. ro 0 yD CM CD yD CM CD ID CM CD yD ro CD yD fO 0

t-4 fVJ ro ro in yD yD r- 00 CD 0 0 ^ ro K CD CD C3 tH CM CVJ ro ’S 4 ID vD yD fy- fy- eo CD CD 0 T^ (VJ ro ro 4 ID yD

tH ^ T-l tH tH CM CM CVJ CM CVJ CM CM CM CVJ CM CM CM CM CM (VJ ro ro ro fO ro fO ro ro ro

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IVJ CD yD fy- *-1 CD CD CVJ ro CD 0 CVJ ro CM fy- CO yD CD 4 (VJ ID fy- T-l T^ CD

, 6 .6 r^ CD yD a CM T-l 00 (VJ ro CD tH tO 4- (VJ

O' ID ID 00 tH yD CD CD T*l ID in CO 00 ID 4 CM ro 4 00 CVJ 00 ID ro yO rs. C3 ID ro ID T^ CM 00 CO ro CM fy. yD 0 00 0 CO ro V ro 4 ID ID 4 4 ro ro 4 r-. CD ID CVJ CVJ yO ID fO OO yD CM 0 tH fy- CM yD CD CM yD CD ro f^ CM fy- CM ® ID CM CD fy- yO 4 4 ro fO 4

CM CD vD fO C3 rw 4 t-4 00 yO ro CD r^ vD yD eo r>- fy. 4 0 ID T^ yD T^ f- CM fy- ro CO 4 CD in 0 vD CM fy- fO CD ID T^ f- ro CD

CM ro ro 4 ID ID yC 00 00 CD 0 CM yD fy- CO CD CD 0 0 tH CM CM ro ro O' 4 ID yD yO f- fy. CO 00 CD 0 0 tH T-l

t-4 ^ tH T^ •H T^ T^ CVJ CVJ CVJ CM CM CM CVJ CM CM (VJ CM CM CM CVJ CM (VJ CM CM fO ro ro ro Q yD 0 yD ID ro CM ID 00 r- yD T^ CVJ 4 CD yD 4 ID CD ro ID (VJ yD yD CM yD CVJ CVJ ID fy. ro CD eo CM ID eo 4 ID ro 4 4 4

0 0 m r^ yD f<. CD CM yD CM ID CM ro fy. fy. ID ro eo CM CD fy- 4 ro f- in 4 0 yD ro 4 CD CD ID 00 N. 4 CD tH T^ o fy. ro f- 0 (VJ fO ro

N. X vD 4 CD r~4 fO fO ID ro CM ro rs. 00 CM ID vD t1 4 4 00 0 0 00 ID 0 ID CD CM ID CO 0 CM 4 ID fy- eo CD CD 0 0 t-4 t4 t4 CL x

D N- 0 CVJ ID CJ CD ID r^ 4 ID CD CD 0 4 0 O' (J> ro fy. CD CM 4 ID r- CD 0 ^ ro 4 ID f- 00 CD 0 T-l CM ro 4 yO r^ 00 (D CD t4

1 4 CD CD 4 r^ CVJ fy- ro CD yD CVJ 0 fy- in CVJ tH T^ tH T-l T^ CM CM CM CM CM (VJ (VJ CM fO ro ro ro ro ro ro fO fO 4 4

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f- yD 4 ID 4 CD 4 ro 00 0 N- (D ID ID f^ 0 00 4 ro CM tH ro T^ ID 00 K <0 0 CD yD CO in yD CM 0 (VJ yD ro T-l CVJ 4 eo 0 V 00 CJ 0 CM ro yO in (VJ yD 0 ^ yO 00 T^ 0 CM 14 yD T^ ID 00 ID 0 0 4 0 <0 eo CD CVJ 4 CO CM fy- CM 00 4 0 yD fo a fy. 4 t4 V 4 rw ro CD 4 ro yD ID ro T^ ro 0 0 CD 4 0 CO 0 ro ID CD h- ID ro tH 0 00 r- yD yD ID 4 4 fo ro (VJ CM CM tH T^ T^ 0 0 0

a <1 D H ro 00 s. CD yO ID T^ tS CO ID CD 03 4 ro ro CVJ CM (VJ (VJ CM «H T^ tH T-l T-l T-l T^ ^ t4 tH T-l tH T-l t4 t4 t4 t4 0 CD

ro OO ro CD ID CVJ 0 N- ID ro CD of) fy- 5

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(VJ 4 ro ro (VJ CVJ CM CM T^ T^ tH

fsj yD CVJ 0 ro CM yD 4 CVJ fy- CD o> CVJ 0 r»* tH CM yD fy. (VJ t4 ID 00 yD 00 <0 00 00 0 CM CO yD |y- 0 fy. t4 t4 yD CM 4

* (p CP 0 fO ro T-l yD ID CO t4 f- t4 ID (VJ fy. CO ro t4 t4 ro CVJ (VJ t4 t4 yD fy- CM ID ro 00 ro f- yD eo fy. 4 CM 0 CM fy. vD t4 t4 fy- 0 00 ro yD

(VJ t4 CD in ID 0 fy- N. 00 t4 yO (VJ CD fy. f- CD ID fO 4 t4 CD CO ID ID CD 0 f- CM ID yD yD ID fO 0 yD T-l yD tH ID ® CM ID fy. CD (VJ t4 CD yD 4 CM t4 CD GO N. fy- yD yD in ID ID ID yD eo t4 fO (D 4 eo t4 ro yO fy- CD o t4 CM ro 4 ID ID yO yD r<. fy- fy- ® ® CO CD CD

ro ro CVJ CJ CM (VJ t4 T-l T-l T-l t4 t4 T-l T-l tH tH t4 t4 ID yD yD f- GO (O eo CO <0 cn CD CD CD CD CD CD CD CD CD CD CD CD O' (D CD CD

-1 x> CD t4 CO CD CD ID CD 4 0 CM (VJ yD ID ro 4 CO ID CM ID 00 f- CD ro CD fy- ID 4 4 CM 4 ro 4 0 4 GO ro (VJ yD fy. ID fy. 0 0 CD CVJ 0 GO GO r- GO CD CM yD tM GO fy- CD <0 4 vO t4 0 4 <0 T^ ID 4 4 0 4 ID 0 0 yD CO r^ ro r^ CO f- ID tH ID eo 0 T^ 0

X fy. GO CD <D CD T-l CM fO ID yD eo CD 4 yD 0 ID yO ro ID GO ID rw N. ID CVJ fy. CM yO 0 ro ID K CD T-l CM ro 4 ID yD yC yO fy- r^ fy. V ro ro ro ro 4 4 4 4 4 4 4 4 ID ID ID yD 1^ rw CM <0 CM vD CD CM ID 00 0 ro ID GO 0 CM 4 yD CD tW ro ID fy- CD t-4 ro in CD

_J *r> CD 0 CD CD CD 0 0 0 0 CD 0 CD 0 CJ 0 0 CD (VJ CM fO ro ro 4 4 4 ID ID ID ID yO yD yO yD yO N. r^ fy. fy. fy. eo eo <0 GO oO

z -J 00 eo fO 0 T^ CD ID OO ro 4 CD ro yD yD 4 4 tH CC ID 0 yD 4 0 00 r«. 4 eo GO 4 fO cD ro ro ID CD yD ID ID f- 0 ID Ui Ny rvj ro r^ T^ ro ro ro CD ID eo fy. t4 0 CD 4 (VJ ro <0 0 4 ro T-l 4 CD fy. fy. rw <j> (VJ ID CD 4 CD CD yO CM 00 ID CM CD yD 4 T-l 0 -J ro T^ yD 0 ID CD ro T-l 4 fy. 0 ro ID ID ID (VJ tH 4 ID 0 ID ro T-^ CD CD GO fw r^ yD ID ID 4 4 4 ro ro (VI CM CM tH •H tI T-l X yD yD ID ID 4 fO ro CM CM tH CD CD CD eo f- yD ID ro 4 ro ro CM CM CVJ CM (VJ 1

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T-l t4 T-l T^ T-l T-l T-l T-l tH T-l t-4 tI T-l T-l

CVJ (VJ CM (VJ (VJ (VJ CVJ CVJ CM (VJ CM (VJ tH t-4 y-t tH

f- CD CD 0 C3 CD CD 0 0 0 CD CD 0 0 CD 0 0 0 0 0 0 CD CD 0 CD 0 0 0 0 CD CD 0 CJ 0 0 0 0 0 0 d d d 0 0 CD d

0 CD 0 0 0 0 0 0 0 CD 0 a CD 0 0 0 0 0 CD a 0 0 0 CD 0 0 0 CD 0 CD CD 0 0 0 0 0 0 0 0 0 0 0 0 CD 0

CM <D 0 0 0 CD 0 0 0 CD 0 0 CD CD 0 0 0 C3 0 0 0 0 CD CD 0 0 0 0 CD CD 0 0 a 0 0 0 0 0 0 0 0 0 0 CD 0

r^ CD 0 0 CD 0 0 0 C3 CD CD 0 CD 0 0 0 a 0 0 CJ 0 0 CD CD 0 0 0 CD 0 0 0 0 0 CD CD 0 0 0 0 0 0 0 0 0 0

yD fy- GO CD CD T-l (VJ ro 4 ID vD r^ CO CD CD (VJ ro 4 ID yD fy. CO CD 0 tH (VJ ro 4 ID yD CO CD 0 T-l (VJ ro 4 in vD fy. eo CD CD

T-l tH T^ T^ tH tH T-l T^ T-l tI (VJ CVJ (VJ (VJ CVJ (VJ (VJ CM (VJ (VJ ro ro ro ro ro fO ro ro ro ro 4 4 4 4 4 4 4 4 ID

128
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Table 15. Conti nued

M 0 CO 00 v£) kO 00 CSJ N- ro 0 <50 vD ID to 0 r>- <0 CD ID yO ID C\J O' ID 0 D 0 ID O' ro r^ LD <50 <\J D O' DJ ID CO tH J- 0

U) (\J CD tr> vD O' ro 0 N- ID O' ro v£l CD M K) DJ J- ID vO N- <0 o> O' 0 0 0 (\J OJ r>j fO ro ro J- S J- LD ID D vJD (/I fO fO CM a 0 cr« O' 00 S- vO ID u> J" fO DJ t-4 4 CJ tVJ <M CVJ OJ CSJ (M <NJ OJ (VJ OJ CSJ CSi CSJ CSJ CSJ CSJ \ ^ ^ ^

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XN-N'l^t0<I>^Dr>~h'N.f^N-t^r>-00fl0CT'airiJ'O00r..N.v0'^v0tD'^v0iD»jDi0v0>JDv£lvD>X)'i3i0kD(j0v0vDii3iD

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ry CD 0 O' 0 0 CD CM CM CSJ J- CD vD LT> D sD sO X 00 CP CD CD CSJ ro to ^ J- ID sO sD p- <50 00 CP CP

2: J- j- j- j- j- s j- j- ro j- J- J* -t J- j- j- J- J- D J- J- J- J- -j- J- J- ID LTV D ID ID ID D ID D D LD D LO LD ID D

CD ^ X 0 H OO ID to j- vD s£» J- X tH ro ro LD <XI 0 CM GO -4* CP CD J- <D LD CP CO sO sJ2 ro LD X tH CP T*^ 00 to 4- J- X j- CD ID O' CP ID ID <0 J- J- 0 CD CM ro CO sO CP CP 0 X tH CD vD X tH CP CM sO X Lf\ (T* CD <0 j- sD r^ J- 0 to

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CD v£) CP CSI 00 CP s£l CP O' r*^ ro <0 ID CP ID 0 OO 00 LD \0 CM X CD CSJ CSJ CSJ a or> X -t <0 vD CM N- CM X CM sD 0

ro \D ID ro y~i ro CP O' J- CP ro CO CM sD r^ J- 0 X fD CM LD X O' ro <n CO 0 CM ro ID rs. CO 0 y^ ro J- vD X O' X CP CP o (M CM ro ro J- J- LD LD sD sO X X 00 00 CD y-4 CSJ (M CSJ CM CSJ ro ro ro ro ro J- -3- j- J- j- LD ID ID ID ID ID LD "2 'H y^ '•H CSJ CM CSJ CSI CSJ CSJ CSJ CSJ CSJ CSJ CSJ CM CSJ CSJ CM CM CM CM CM CM CM CM CM CM CM CM CM X -1 CM CM \D j- X j- O' CM J- sD CM CP 0 vD CO CM (p 00 CP <50 vD yA X J- ro CM CM CM X y* X CP sJ3 CP o <50 CM ro 0 ro 0

X ro J- y^ ID CM CP CP X ro a tH CO CP 00 ID vO CP yA 4- eo CD CP CM CP ID «0 to LD LD ID vC CP J- to 3

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X CM CM j- J- J- ro ro sD O' ro eo S0 rw CM CM hx sD ro GO rx yA a <50 J- 0 LD CD ID CD LD ro CP sD j- yA CP CO uD LD ID ID -> CM j- CO ID CM CP sD ro 0 oO LD ro 0 CP CP yA ro 00 rx ID ro 0 sO ro 0 sD ro CP M3 CM CP LD *M 00 LD CM CP LD CM CP sJD ro CD

CM ro ro ID sD vD r^ CO CP 0 0 ro X GO p 0 CM CM ro -3 LD ID sJ3 X X <0 <P O' 0 yA CM ro ro J- LD sO yA CM CM CM CM CM CM CM CM CM CM CM CM CM CM CM ro ro ro ro ro ro ro ro ro

UJ -J CP 00 0 00 ro ro CD ro CD X CD ro ro ro CM p p 0 X p CD ro CM 4- CM P CD T-< P p 0 CM P P CM CM p p P

X 0 0 J- .t <J3 GO .3 sO kO X 0 CD 0 p ro r^ p yA LTi 3 eo X 3 00 p CM 00 p P yA P yA <0 0 \0 X CM CM p p p GO 4- X J- J- LD LD 3 ro ro ro 3 sD 0 ID CM ifs ro CD ro X 0 CM a p 0 j- GO p P 3 GO 3 p P CM p X p ro CM yA yA CM DJ CP sO ro 0 X 3 yA 00 sO ro yA p X uO sO CO •4- p ro P p 0 p yA p CM X CM <x> fO p 0 p X ro p p X to P

CM ro ro 3 ID IT. sO X CO CO p 0 CM p X 00 GO p 0 0 CM CM ro ro 3 p P p X X GO GO p 0 0 tH

yA yA yA CM CM CM CM DJ CM CM CM CM CM CM DJ CM CM CM CM CM CM ro ro to ro 0 _J X P CM p yA DJ 0 j- (M P 0 p 0 P X p CM 3 P ro 0 p 0 0 P CM ro p P P DJ to P to 00 to p p 3 p p CM P X

0 0 p P ro p GO OO yA X 0 00 0 X p CM P p p ro p X p CM p 0 0 00 P CM p tH P 4- P fO p CM 3 p yA P p X 0 CM X X CM P 0 ro CM p CM CM CM X CO CM P P p 3 -3 CM P p p CM X CM X 0 3 P P ro 4- P X GO p P CD 0 H

0 00 yA p ro CM 0 p P p P 0 P yA 0 DJ P p iH ro p X p 0 ro 3 P P P p 0 yA CM ro 4- P X p P 0 yA

• 4- p p J- 00 CM X ro P p ro 0 X p p yA CM CM CM CM CM CM CM CM P ro to to P ro p p P 4- 3

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t- irST GO CM ro p 0 p X p p X ro yA p p oo p 0 CM O' p X 00 0 CM p X X tH ro yA ITN to p <\J yA ro GO 4 ro p

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X (X p 0 p yA rv. P p hx p p 3 p 4- ro ro p p yA CM X eo ro p p 4 CM p ® X X P p p 4 ro ro to CM CM yA 0 0

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IT p ro 00 X CD p 3 p X rH p CM 00 p 4- ro ro CM CM CM CM CM yA yA yA yA yA T-J yA p ro 00 ro p P CM CD r^ p ro yA CD CO rx p 4- ro

4- 4- p ro CM CM CSJ CM yA yA

M r^ CM 0 P 0 p 00 •r^ GO CT» ro X GO 3 p p <50 4 P <0 X X CM ro P X p CM CD fO ro CD X X p 0 CD p to p CD X

0 0 p X p CM CD ro 4 CM P CD <0 CD X X P ro X CD 4 CM 00 p CM p X p flO p 0 -H P ro 4 H ro 0 p p p 4

p P P p P p p p p to p p 3 to LT\ y4 GO p 00 to P P P CM 4 CM OO ro ro CM yA 00 3 0 p 0 4 CO 4 X 0 CM

CM eo P ro tH CD p eo X X p p p p p X GO P CD 00 ro X 0 ro P X 00 0 yA DJ ro 3 3 P p p X r^ r^ CO 00 GO p p

ro ro CM CM CM CM CM yA yA tH yA yA tH 4 p p X CO 00 GO eo 00 p p P P p P p p p p p p p p p p p

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> z: X CO p p 0 CM ro P p eo p ro p 0 p p ro ro X fO p P CM GO ro X ro p r^ p 0 r-t CM CM CM CSJ CM DJ 0 p X ro ro ro ro 4 4 4 4 4 3 3 4 P p p p P X p p 0 4 X 0 ro p <0 0 ro p X p 3 p GO 0 CM 4 p eo CD CM 4 p

_j 0 0 0 0 0 CD CD 0 0 CD CD 0 0 CD CD 'D 0 CM ro ro ro 4 -3 4 4 p p p LT\ LT\ p p p p X X X X Nx GO <5C3 GO GO

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3; N. N- OD OD OD rs- N. O'- CO *o o> o 4- CD H tH

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tH o >x> CO 00 CO cr gj CP O' ro tH 4- 00 4- e- ro CO O' g3 4- g3 <o g? 4- eg o e- 4- O N- eg CO ro g> ro CO ro vD 3:rOvrLf'rr>.Ht>^NO(J'J-Cr'J-a'f^nO(MiD'HkD<VCr>fOvi5Cr>rJJ-ijD«>0(\jJ-»i>aoa»-tMLfviCoO(T'»^fOJ-LriN-«

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X CM (TV ro ro ITS g tO ro CM CM g 4- ro CA t-4 o g rw X 4- 4- CM g T^ CM g g LA ^ g g g o g g « g 4- 4- CO ^X> GO g

V 4- ro LfN in 4- ro ro ro 4- g g 4- t-4 o CM X 4- g tM g 4- ro o g g ro X .g g O g g ro g X 4- CM t4 CD g g g CD

”3 CM O' g ro CD X 4- g ro t-4 X g g X g 4- t-4 CO 4^ o g O g t4 h-- eg o ro g •T o g tH X ro g g o vD CM g

0 eg ro ro 4- g g g X 00 CO g O .4 eg g X CO CD g CD o t-4 t4 eg eg ro ro J- 4- g g g X X GO eo g O CD t-4 t4

t-4 t-4 tH tH tH tH t-4 eg eg CM eg CM CM CM CM CM CM eg eg eg eg CM CM CM eg ro ro ro ro o _J O' O' <o LfN CD eg ro (P g g 00 ro CO 4^ ro 4- CD t-4 CM CM O o OO O t-4 eo eg g ro ro g g g ej eo g g g g g eg g CD o o ro ro O' ^ V.0 ir> g H 4^ ro X g t-4 CO X g CO g X tJ g X X g g eg g O CD 4- 4- o eg CVJ g 4- g X g to g 4- <30 CD CM

s. X O' O CM ro CM 4- CM eg g 00 ro g g o r^ g -y go X t-4 CVJ tH CO g o g g eg g GO O CM ro g g N- CO g g O O t4 t4

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o _J GO CM gi X 4^ ro X (P g X eg t-4 cm g ro t-4 CM t-4 g GO t-4 ro g g GO CD t4 cm 4- g g GO g o t-4 eg ro 4- g g g CA O t-4

1 4- O' O' 4- CO CM ro g g ro o X g ro tH tH tH t-4 t-4 t4 CM eg eg eg CM CM eg CM to to ro to ro ro ro ro ro J- 4-

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o X O' O g) g g O' CO g g ro g g g 4- t-4 t-4 ro ro o g g 4- to g o 4* CD CO GO g T^ 4- X t4 g H g CM GO 4- o X 4- t-4 X or in ro <x> 4- O' CO CD CP eg N. g X X X 4- ro (M t-4 ro •H g tH GO g 4- eg t-4 CA GO h- X g g g 4- 4- to ro eg eg eg t4 t-4 t-4 Q_ d LT. CO .3- ro CO GO vO lA g X t-4 vO CM O' g eg g g 4- ro ro CM CM CM (M eg »g t-4 T^ t4 t4 tH t4 t-4 t4 t-4 tH t4 t-4 t4 t4 t-4 Q cn

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4- tO ro eg ro g ro g g CD g g fO eg g r^ CM ro CM 4- no eg 4- t-4 ro g g t-4 g 4- GO CM g g eg t-4 -J* 4- g eg t4 go fO O' 00 ro g g CO 4- ro 4- V.0 o g (M O CD CM rw ro ro ro g CM 4- g g go X ro X O O o CO g eg CO 4- g ro o 4- X g (M

ro ro O' g 4- (M H o g CO GO r^ X X N. h- X g o GO g CM g g eg 4- g g g t-4 eg ro ro 4- g g g g X X GO CO <0 CO g

ro ro ro CM CM CM eg CM t-4 t-4 T^ T-^ t-4 t-4 4- g g r^ X X €0 OO GO GO CD g g g g g g g g g g g g g g g g

-J -1 CO O' o N. g X ro X tH X X g ao ro g g t-4 O CM tH g CD 4- T-J eg CM ro CM t*4 o g ro g g X g g g CD ao 4- g X GO o o O' o GO X X CO <p CM g CD r^ g g g t-4 tH g g CD ro t-4 g GO (M g g g r^ ro 4- eg g CO X 4- g CM 4- ro CM g g o

> X rv GO o* O' CD H CM ro g g CO g th ro g O g 4- CD eg g 4- g 4- t-4 X t4 4- X g t-4 ej ro ro ro ro ro eg eg t-4 o g rw iO g

X to ro ro ro 4- 4- J' 4- 4- 4- 4- lA lA g g g X g 4- g CM g GO t4 ro g GO O eg g g t4 ro g rs- g t-4 ro g g CO o eg

_J CD CD o rD CD O O CD O o CD CD CD CD rD o O CD t-4 CM eg ro ro ro 4- 4- 4- 4- g LA g g g g g g g g X X X N- CO GO

z -J O' ro O' gf 00 •*-4 o ro CD g ro «o o eg g ro oO g 4- Jj* CM ro CO GO GO X X CM O CO 4- N. g g CO o g ro 4- X to o g a CM

UJ X ro 00 ro GO rO 4- g 4- eg X CD g g 4- 4- CM g g t-4 CM X GO CD g eg CO g g X OO t-4 4- 00 CM h'T ro GO 4- CD g ro o g 4- t4 o -1 ro nH g CD m g ro r^ tH 4- CO CD ro lA g g ro 4- eg T^ 4- o GO g 4- eg t-4 o CO GO X g g g g 4^ 4- 4- ro ro ro CM CM CM o

r a? g) in ro ro eg eg O CD g OO rw g g ro g 4- to ro eg eg eg eg eg eg ^ t-4 t4 t-4 t-4 t-4 t-4 t-4 t-4 tH t-4 t4 t-4 t4 t4 t4 t4 CM CM CM eg eg eg eg CM CM eg CM CM t-4 tH t-4

1— 4- CD O CD CD CD CD CD O CD O CD CD CD CD O CD CD CD CD CD o CD o CD CD CD CD O O CD CD CD CD CD O CD O O O CD CD O CD CD

GO CD o CD CD O O O CD O CD O CD O O o CD O O CD O o CD CD o O O CD CD O CD O CD O CD O O O CD o O O O CD O

CM O o O O o o o CD o O CD o o o CD O CD CD O o o O o o o o CD O o O CD O O O o O O CD o o O a o O

r^ CD o CD CD o CD CD CD CD o CD CD CD CD o CD CD O O o o CD CD o CD CD CD O CD o O a O CD o CD o CD o CD O O CD CD

gD r^ <o (T* O CM ro 4- g g X GO (T a •H CM ro 4- g g h- CO g CD t-4 eg ro 4

- g g X GO cr CD t-4 eg ro 4- g g rw OO CT* CD

•rH t-4 t-4 t4 CM CM eg CM CM CM eg CM eg eg ro ro ro ro ro ro ro to ro ro 4- 4- 4- 4- 4- 4- 4- -a* g

130

092
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TRIFLUORIOE

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Table 15. Conti nued

o o> O CO CO o O' Ifl fO .rH O' OO N. LD (\j N. N. tH <SJ fO rj CD N- ro O' 4- O' J- CO ro N- if> CO CM in O' CO in CO •H i- o

lU (\J to vO o ro vD o J- 00 T-^ IT> cn ro N- o fO Ift ro •J- ITS vO r>- h- 00 00 O' O' CD o CM CJ ro ro ro j- J- in in in \D

(/) ro to CM T-* o cr> O' <o h- V0 IfN J- ro ^4 T-< CVJ CO CO «NJ CM CJ CJ (NJ (\j <VJ CM CJ CJ CJ nj CM CM V

z: *4 -4 m tS H vO ro o CVJ O' (SJ OO <M vD in o j- o vD 00 o C^O in J- J- O' oo ro \D CO Ifl 4- UD O' ro 00 ro 00 ro r>~ JK) vD QO o> oo f<0 CD O' fM N. N. rj ro ITi CVJ N- ro r^ in tvi •J- O' rw CO O' r>w O ro r'- o r>- •H j- 00

V tH .H UN •H “5

v: CM CM flO ro CM CM oo CP J- rs. CM iX) CD CM O' T-l in o vD iH tH ro J- vO 4- in oo o ro ro CM A CM J- in ro O' J- cO cO in CM t'- "V tX) in (M tH N. CO CM CD O' CD ro flO ro cr> fO -t in ro in CM o ro 00 -3- H 00 in t<o o r^ •3 tH t'* J- O «X) CM ro <30 ro oo fO N. O O' oo in ro o CP «-3 O' CD O CM CM CM J- ro f'. cO vD iX) vD r^ oo -TO O' o .-H CM ro ro J- in in vX> vD h- r- <x> OO O' O' X

J- j- j- j- J- J- j- ro J" J- J- J- .i- J- in J- J- J- J- J- J- J- J- in in in in in in in in in in in in in in in in in ->

I

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CD

to v: \0 J- ro r^ in CM O' ro CM J- ro fs- in O' CP CM ro o O' r^ CM CT \D ^-4 .3- O' ro O' H tH CM iX) J- fs. <x> in

N. xD OO vX) in in CD o CP 00 CM oO O in CO CM J- J- o vX) I's o vX) O' J- rH CM rs. rw sO J- O CM t-4 r>s o O' in cn CD

_l O in CO CM 00 <r 03 O' O' vD CM rs. o J- rs. CM in vX) rs. o CM o vX) O' ro ro ro CM o oo X) ro O fs. ro cn J- o in O' J- <30 ro

z: ro vX> IT. ro N. ro O' J- (T J- O' ro CO CM vXl iX5 oo 00 ro vX) CT» ro vX) CO <r> CM J- vX) rs O' ro vO rs. cn t-4 CM ro in lO 00 N O' O' O CM CM ro ro J- in in vO iX) rs. fs. 00 00 O' o tH CM CM CM CM ro ro ro ro ro ro J- J- J- J- J- m in in in in in tM CM CM CM CM CM CM CM CM CM CM CM CM CM CM CM CM CM CM CM CM CM CM (M CM CM CM X _JO

X

rs CM in (M X) CO X> CM X) CM <x> |S o O' cr in ts « 4 CM x> o 4 4 4 tA x> CM CP ts 00 ts ts X X X CM to OO « CM X

J- OO in ^-4 t-4 OO 4 o CD X) 4 ^ ro x> O CM flO IS CM X> OO t4 ts in to in 4 cr ® 00 ts X oo 4 to X CM yA 4 v4 o

V J- ro in in in in in in rs o 4 cn ts QD CM 4 cr ts to O' flO 4 t4 ro 4 00 4 o «n 4 ts ro O X fO CP 00 X 4 ro CM t4 t4 yA J CM J- OO in CM O' X) ro CO in to ^ O cr ® o cr ro 4 ro oo in CM to in CM OO in OO in 4 ® X 4 to X CM X X to CD

sH CM ro ro in X) X) rs OO O' O o ro in 00 cr o t4 r4 CM ro to 4 in in x> N. ts oO O' cr o 4 CM ro ro 4 X X

w 4 CM CM CM CM CM CM CM CM CM CM CM CM CM CM CM to ro to to to ro to ro ro

UJ _lo

X

CM r^ rs 00 J- o CM X) 4 (M (T* N* ts X3 CP in CM o ts CD .-t 00 CP CO 4 in 4 4 00 X ts 4 4 CO 4 ro to CM

oo rA o ro J- cn o cn oO CP oO X) o cr 4 ro wA X) cr O 4 CM ts x> in cr to IS CM to cr cr to CM X to X **4 CM ts X X

V .3- ro in in 4- ro CM ro ro in cn ro a O CM Q in cr ts fO ® in X) ro cr 4 OO ro ts CM ts CM ts ro o ts 4 CM o X CO ts ts K to ”) CM O' >X) ro CD rs J- 00 in ro cr> ts X) in XI CM CM o ts ro cr 4 CP in 4 ^ CM IS ro to 4 o X »H ts to to 4 CD X CM 00 CM ro to 4- in in X) f'- OO «o cr O CM in to CO cr cr o CM CM ro ro 4 4 in X3 X ts ts to CO X o O 4 t4 H 4 y-4 »4 CM CM CM CM CM CM CM CM CM CM CM CM CM CM CM CM CM ro ro ro ro

CD _l O' ro J- ro ro hw 4 rs to CP rs to ^ o <o O to ro o in "H X> in X) CM 4 o X) ts ts CP eo X CM CM X 4 X v4 to 4

O o to in X) ro in 4 in CT oo 4 m ro 4 cr eo ® cr OO X) 4 ro cr CM O in tA <r ts cr XI o 4 o ir\ X 4 tH X X 4 X X 4

>s X in CO tH CM ro CM J- CO t-4 <0 <x> ro ts |s CM O H CM ts ® CO X) CM to CM ts o ro X3 O' t4 to 4 X ts CO flo X O O o r4

a. V

o _1 O' ro X) 00 in J- CM CO o ts 00 ro CM to IS 4 ro 4 T^ in OO o CM 4 X) oo cr 4 CM in X) ts O' CD CM ro 4 X X CO X o t4

1 J' cn O' J- 00 CM oo ro cr x: ro o rs in to 4 t4 CM CM CM CM CM (M CM ro ro to ro to to ro ro ro 4 4

oxc

00 CO x> in m 4- ro ro CM CM t*4 •H t4

1- CM CM O' X) CM J- rs X) r^ CM ro ro ts fo ro cr ts to CM ts 4 o ts ro t4 X) cr CM CM in O' t4 4 oo o X ts t4 X X CM ts X 4

a V, J- cr ro ro ro in .3- CM oo in ro O OO tA o to in 4 in to X) ^ in 4 XI .rH cr to OO cr CM in to ro ts CM 00 to X X CM X X

v (X X) in rs CM J- ro tA in o ro CP ^ tH cr cr CM ro cr in to to CP ts in ro CM o cr 00 IS ts XI in X 4 ro ro CM CM CM 4 4

CL <t in OO CM J- J- cn 00 fs in X) OO CM rs ro cr X) fO CM in 4 ro to ro CM CM pj CM CM 4 t4 4 4 4 4 4 it4 4 4 4

Q CO

in ro OO ro cn in CM o rs in ro o OO N. in 4 ro 4

J- J- ro ro CM CM CM CM tH

rsj 4 O CO o 4 X ts X to t4 ro CM 4 CM X X O ts to <o ts CM CM X to to X X ts CP ® CM X CM CM X CD to CM to CD ts m3 CM ® CP o 4 yA 4 CO CD OO X 4 to X fs ro ro ts to oo ro ro X CM o o tA X ts CP oo X to to X o yA X ts 4 <o CO kO CM

CM t*4 4 ts X ts to t4 4 4 ts CM X rs. X <C 4 X t4 00 X 4 X <£> CM CM X to X CO N. X 4 *H ts ro 00 CM CD CP ro X X CM X o ts X ro CM yA O X 00 00 K. ts ts ts <o X to X 4 o X to 4 X r^ X o t4 CM ro 4 X X X X ts ts eo to CO to X

to ro ro CM CM CM CM CM CM yA 4 4 4 4 t4 to X X ts ts ts CO OO oo to OO X X X X X X X X X X X X X X X X

-t -1 *x> X CP X to X CM X X X X CM 4 ts CO CM X X CM OO X 4 4 fs X 4 ct> X CM 4 X 4 CM r*^ ^ 00 fs CM to 4 OO 4

o o X yA CP CO ts N. OO X t4 X CD ts X to X o OO <M to ts ts CM s. yA ro o X X 4 4 X O X 4 fs t- X CM IS 4 to 4 ro CM > z: N. CO X X o 4 CM to X X to X •r4 to X o 4 to rs. CM X X r»* X CM ts 4 to X ts CO to X to OO ts X X 4 CM X fs X to V. to to to ro 4 4 4 4 4 4 X X X X X CM CM X o to X X 4 4 X 00 o CM 4 X to o CM 4 X <o CP CM to X ts X

-J O o CP CP o o CP O o O CP o CD CP O o O o nj CM ro to to ro 4 4 4 X X X X ifs X X X X X ts rs. ts ts rs.

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131
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Table 15 Conti nued

3: 0 0 cn 0 CM kD r^ in ro CM 0 00 M) ro 4- ro a 0 tH O' M) CM CO 4- <30 4- 00 CM Y-i 4^ 00 CJ in cn CJ in <0 Yi 4- t" 0

UJ ro t-4 ro N- 0 ro 0 J- QO CM M3 0 ro S- M> in 4- in <X3 M3 CO «3 O' o> 0 0 H CM PJ CM ro ro ro 4- 4- 4- in in in M)

I/O ro ro CJ tH 0 CT O' 00 N- f'- lO M3 in 4- ro CM rH Y-i Y-i Y-i ^ CM CM CM CM PJ CJ CM CM CM CM CM CM CM CM CM CM CM i V

X

H T*^

; a V ro j- cn CD 0 N. O' vO cr> Y-i O' O' 4- 4- CM ro 00 CM O' to CM CM to N- <0 00 M3 CO in 4- in 0 4- 1^ 0 4- m3 <0 ! 0 *s fo <n N- O' M5 CO CM O' O' M3 M3 O' O' O' N. CM tH <x> 00 OO OO in O' ro ro n- 4- PJ PJ to in 0 ro M3 cn to <X3 cn ro vO O' CM 1 0 to C\J 0 O' cr> O' 0 0 ro 4- M3 00 in Y-i PJ PJ in rH 4- M3 CM O' 00 N. M) M3 M3 M3 M3 M) M3 N- t^ CO eo GO cn cn cn ^ 1 X N* N- MD vX) N- N- r^ 00 00 cr CD ro 0 in CD 00 t'- kD M3 M3 M3 M3 M3 M) M3 M3 M3 M3 M3 M) <X3 MD M3 M3 M3 M3 <X3 n- |, -I tH 4- H

ii :> Q CO ro CM CM OO 0 ro M3 M3 T-< in CO CT ro CD CM C3 M3 O' 4- M3 CM n. M3 r«~ O' CD 0 S. ro n. O' cn N. to N- cn 0 00 in 0 vD in (\i t-4 h- 00 CM CD cr> 0 ro CO fO 00 CM 4- J- 0 0 in ro in 0 M3 PJ O' M3 to tJ <0 in Y-i oo 4- CD M3 CM 00 ro <0 4- GO ro CO 1 0 CP CO in ro CD CD rD O' CD a 0 f-l fM CM CM 4- CM fO M3 M3 M3 h- 1^ 00 00 CJ' 0 tJ PJ ro ro 4- in in M3 M) p- P- CO <X3 cn cn

5:V

J- j- -3- J- -3 Lf J- ro 4- 4- 4- 4

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L/) in cr> 00 J- vD CD J- N- in cr> to 0 tH ro ro CM 00 Y-i O' in CD M3 1^ cn M3 00 m CM in M3 CD CD M3 CM 00 M) m M) CO 4- 0 o> m ro 00 CM N- MD M) ro \0 -< ro fw ro in 00 in CO CD y-4 t^ PJ CD N. (J> M3 <D in GO 00 4- M3 M3 PJ M3 r>^ M3 PJ JD 00

(M CP in CO 00 O' in 00 00 vO CM M3 0 ro M3 tH CO O' CM t-4 00 PJ J" M3 M3 M3 in CM 0 4- tH r>- ro cn 4- O' 4- m ro n- X in in ro P- ro O' J- O' 4- CT ro GO CM M3 Y-^ M3 4- vX) ^-4 in cC CD to in f'- O' T-t ro in rw O' CD PJ S in fO to ^ M3 f*. O' O' 0 CM CM ro ro J- J- in in M) M3 t^ 00 00 O' 0 H tH »-4 CM CM PJ PJ PJ ro ro ro ro ro 4- 4- 4- 4- J* ir. in in in m in

y-4 CM nj CM CM CM CM CM CM CM CM CM CM CM CM CM nj CM CM CM PJ CM CM CM CM CM X _J UD pj vO CO r^ CM J- CM in CM 0 oo rw 4- O' in in OO O' .1 ,6

4- fO CO Y-i 00 0 to in 4- to 4- GO 4- in 00 in in CO t X IP P* J- J- CD 0 r- CM 00 CM O' ro to 0 CM N- PJ CM ro t»- PJ 4- 4- CM CM N- J ro t^ Y-i 00 n- cn 4- CJ ro «D M3 t^ CM CD Yi

V. in j- >n vD vD iC >£» Vf) 00 0 ct 0 00 CM tH m 'tH 4- M3 iC Y^ PJ cr v£) CM cr> in CO Y-i 00 M3 4- PJ 0 (T GO 00 CO CO

(\j j- CO in CM cn <X> ro -H eo M3 ro CD cn 00 CD CD o CM H O' r^ 4- rJ 4- -H r^. 4- Y-i t'- 4- tJ n- 4- eo in GO in CM cn

tH CM ro ro J- in vO iC K- 00 O' 0 0 to in CO O' CD CD Y^ PJ ro ro 4- in in M3 K r^ 00 cn cn o CM ro to 4- in in CM CM CM CM PJ CM CM CM CM CM CJ CM PJ CM CM ro ro ro to to to ro to to

UJ P- 0 CO in ro CM CM in O' J- C5 CM in in in 0 CM ro H M3 4- t^ in ro Y-i O' in in ^ <T> CD Yi r^ J M3 ro CJ in 0 00 c- to cn O' N- X UD O' CO CD in in ro CM to O' in r^ PJ yM r^ in CM 0 K in CD tD 0 N. CT> 00 r^ JO CT PJ in CJ M3 0 t". <T» in m O' t»- •v J' ro J- J- J’ ro CM CM ro in CO CM O' 00 t-4 <30 0 4- O' 4- 4- M3 M3 M3 t^ ro cn M3 to CD 00 N. in 4

- 4

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- in nj O' U3 ro <=> N- J- 00 in to CD 00 K- in in M3 in O' 00 M> CM 00 4^ O' in 0 vO J r^ CM GO to O' in \0 CM 00 4

- 0 M3 CM 00

CM ro ro Lt in in M3 eo CO O' 0 CM 4- M3 s. 00 O' cn 0 0 H CM CM to ro 4- 4- in in M3 GO 00 cn CD 0 Yi

Y^ tH tH CM CM CM CM CM PJ CM CM CM CM CM CM CM CM CM CM PJ to fo ro ro Q _J J- ro CM f" J- o <0 4

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- O' M3 M> in O' CT to ro M3 M3 M3 CO to CM M3 M3 CM in M3 ro OO CM ro to Yi n- ro n- 0

N. X in in r^ 00 X) oo in in M3 0 ro CO fO 4

- 0 O' ro 0 CM 4

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o. V. a _i 0 in rs- O' <X) in fO O' 00 0 in ro in O' M3 4- M) CM 4

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1 in t-4 O' O' J- 00 CM 00 ro 0 M3 ro 0 n- in ro Y-i t*4 Y-i CM CM PJ CM PJ CJ CM ro ro ro to to ro ro ro to 4

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1

1- u» in Y-i CD 0 t'- M3 to T^ in oo ou M3 4

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- 0 P^ ro

>* O' 0 in tH vO in 00 N- in O' 4

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- ro ro to CM CM

CL <I in CP CM in O' <x> »-4 rw in tX> CD CM r^ ro 0 N- 4- N- N- in 4- ro ro PJ PJ PJ CM CM PJ CJ 'rJ Y-i Yi H Yi T^ Yi Yi a CD

in ro CO ro (T> in CM CD h- in ro tH 0 00 t'- M3 4 3 Y-i

•J- ro ro CM CM CM CM Y^

tsj CO J- pj CM cn N. in 00 J- vX) O in <0 CM in cn Y^ CM M3 to J" 0 in to n- in N. in M3 M3 PJ r^ to 0 in ro CM O' CM a J- fO

CO oo J- O' vD C3 O' in J- in ro in CM J* 00 00 ro 00 PJ 4- in vO 4- CO PJ r^ M3 J ro in cn 4

- ro M3 to M3 Yi fO 0

CO 0 CM CM cn in ro ro in <30 ro <3' r*. M3 eO ro N- 00 in CM O' <X3 M3 n- PJ 4

- CM <30 ro 4- ro CO in Yi sO in cn ro M3 cn CO

N- >n CM O' lO in r»5 CM H 0 O' (T> CO OO <*3 00 O' 0 n- CM flO to n. 0 ro in K <0 0 CM ro 4

- 4

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ro ro ro CM CM CM CM CM CM CM Y^ Y^ CM PJ in M3 M3 N. N- CO CO <0 00 00 cn O' cn cn cn cn cn cn cn cn cn O' cn cn cn cn

_j _l CO CO O' in N- in 0 J- N. CM y~4 00 00 O' in ro oo in <0 M3 t'- O' O' O' in in C3 ro ro 0 00 ro cn 0 to. 4

- ro in CM in M3 in 4- 0 0 cn O' CO n- 00 (T> m 0 M3 in N. 4- CO 4- CM O' O' in 4- in 4- ro CM CM in tH CM cn J r^ CM ro ro r>. PJ in N. 00 CO > X N. CO 00 o> 0 tH (M to in X) 00 O' ro M3 O' 4- CM 0 ^ 4- tH CM CD M3 0 ro in M3 r- M3 M3 in ro CM 0 <x> M3 ro tJ 00 in CM cn V fO ro ro ro J- J- S J- J- 4- 4- 4- in in in in M3 N. 0 O' 4- <X3 4- M> O' Yi to in O' tJ ro in N. cn CM 4- M3 CO cn Yi ro 4- 0 C3 0 CD 0 0 0 0 CD 0 0 CD 0 CD 0 0 0 0 H PJ CM ro ro ro ro 4- 4- 4- 4- 4- LP in in in in M3 M3 M3 M3 <X3 M3 n- r>- N.

z -J C5 cr vD fM <0 CM ro O' N- M3 00 O' CO CD ro in CO 0 to O' CT 4- CT> K CM 0 00 Y-i M3 in in Y-i ro O' CO Yi 00 r>~ <0 CM in 4

- UJ to 00 (T CM in vn in ro O' CM CM 00 O' 0 4

- 0 CM CO in O' ro ro vO PJ O' O' O' T'J ro <X3 0 4' <*3 ro O' 4

- <r» M3 ro cn M3 ro 0 _J K) vX> C3 in CT' ro N. 4- <0 T-l ro in N. in 00 cr> 0 in <T> t^ in 4

- PJ Y-i 0 CD cn <0 so Ml M3 in in in 4

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- ro ro CM CM CM CM CM CM CM CM vH Yi Yi Yi Yi Yi Yi ^

CJ nj nj CM CM CM CM CM CM CM CM CM T-< H H Y^

H- vO 0 0 0 0 0 CD CD CD 0 0 CD 0 CD 0 0 CD 0 0 0 0 0 CD CD CD 0 0 CD 0 0 CD 0 0 0 0 0 CD 0 0 0 0 CD 0 0 CD 1 N- 0 0 0 0 0 0 0 CD 0 CD 0 0 0 0 0 CD CD 0 CD 0 0 0 0 0 0 0 0 CD CD 0 0 CD 0 0 0 0 0 0 CD 0 0 0 CD 0 1 ro 0 a 0 0 0 CD 0 0 0 0 0 0 0 CD 0 0 0 0 CD CD CD 0 0 0 0 0 CD CD 0 0 0 a 0 0 0 CD 0 0 0 CD 0 0 0 0 1

p- a 0 CD 0 0 0 0 0 0 0 0 0 0 CD 0 0 0 0 0 0 CD 0 0 0 0 CD 0 CD CD 0 0 0 0 0 0 CD 0 0 CD 0 0 CD CD CD

<x> K. eo O' CD CM ro J- in M3 00 O' CD PJ ro 4- in M3 N. CO O' 0 J PJ to ^ in <X3 rw CO O' 0 PJ ro 4- in <X3 CD cn CD

1

132
Table 15. Continued.

:r o H OJ -s oO K> o no 03 in in ro in O' ro o O' O' rw -s -4 N. ro 00 ro OO (\J 03 o -3- CO CM L^^ O' CM in O' CJ in <X3 t*4 UJ fO -s N. O ro f.- s GO (\J vD C3 -s CO CJ in r~ flO Ji- -S’ in vO N- OO cO O' O' o o CJ CJ CJ ro ro ro -3 4* .3 in in in 03

(/I ro PO 00 o C7' O' OO N. N- 03 03 in jj- -s ro nj -4 'H CJ CJ CM CJ CM CM CJ CJ CJ CM CJ CM CJ CJ CM CJ CJ V

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71 o 4 03 3 LO LfS 00 <0 lO CM O 3 in 3 ro O r~ ro 03 yA o yA CJ ro o O' 03 ro 3 in ro in yA in ro in o

in ro 4 3 ro CM 'tH CM 3 N- t-4 r^ 03 OO 3 03 o in ro 03 n- in 03 ro o in r^ ro O' tn CM O' 05 3 CJ O O' O' O' o

CM O' 03 ro O 3 00 in ro o <o 03 in 3 in O' ro in ro o 03 CJ GO 3 O' in o J3 r^ ro <30 3 o 03 CJ <30 ro O' in CJ OO

y^ CM ro ro 3 in in 03 r^ eo OO O' CD CJ ro 03 r^ OO O' O' o o yA H CJ ro ro 3 3 in in 03 r^ c~ 00 ce O' O' o

tH y4 yA H CJ CM CJ CJ CJ CM CM CJ CJ CJ CJ CJ CM CM CM CM CJ CM ro ro ro o -1 O' r^ 3 to CJ CM CJ H 3 03 m in O' CM CJ 3 O' O' O' 3 03 03 N. CJ in r^ CD OO 3 eo in CM in 03 o O' 03 CM O CM to a 0> r^ o o 3 r>. CJ O 03 O CJ 03 CO O' to 00 ro OO ro o O' OO O 03 O 03 03 OO in wA O' <o CJ o 4 3 o ro 3 yA r- ro fO yA O' 4 o> V X ro 3 ro CM o CJ O' 00 O' 4 r<. ro O' O' rw CJ ro 4 in 4 CJ O' 3 O' 3 OO T^ 3 Cw O' y4 ro 3 03 CO O' O' O o

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3 o to in ro N. >p ro 4 O ex' ex' ex' ex' cr* ex' in 4- rv. o ex' OO UJ ro o ux CM r- CJ N- CJ ux o 4- CO rM UN cr (M UX er CM in eo •H lU ro -3- o rv- in ex' e\j >p CD 4- CO OJ UJ ex' O UN 4- in UJ r^ ax oo ex' CT> CD CD 4 CM CJ CJ ro ro ro 4- 4- 4- in UN UN UJ

(/I ro ro OJ t4 O cx> ex' OO r^ r'. iP lO in 4- 4- ro CVI CJ T-» r4 4 t4 H CM CJ CJ CJ CJ CJ CJ CM CJ CJ CM (M CM CJ CJ (M V

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1 CL O UN ITi N- ro Vp 00 in e\i ro ox ex' vP e\j CM CJ ^ CD ro CJ o in CJ 00 CJ ex> N- 4- CD 4 ro ro ox 00 4 r- ro CJ o er er <xx

1 O \ f\J vD N.. flO in CO ex' 4- e\j 4- «P 4- CM CJ in oo U) O' o to ex' xr4 4- CJ in 4 ex' CO «o ex' CD CJ in rw o ro lO CO y* 4- N. , 1 o ro o O' ex' ex' o CD J CM J «P OO H cr> in in CJ QO t4 r>- <T> 4- e'j CD ex' oo 00 r<. 1^ C- CO OO 00 00 cr er cr er o o CD X N. U3 vP kD r^ O'- K CO OO 00 <T> t4 hw ro ro O OO c- N. r^ ^ lO UJ UJ vO vP UJ vD UJ UJ kD UJ UJ vO vP N. N- s. 4 -H (\J t4

r> vr 9-i OO OJ tH ON CJ 4- 4- oO CD oo r^ o ex' in <tj UJ t4 UJ tXN CJ ex' CJ cr t^ in to CD ux y-* to 4- ro CD UJ er .H o 00 UN cr o X IT. Li> OJ r^ CO OJ O' ex' CD to f'- ro 00 4 OJ CJ UJ ex' r4 4- ro U) 4 ux ro O' U) ro o c- ro CD UX CM CO 4- er 4- o in er 4- OO o O' cO lO ro tH CD CD cr ex' CD CD tD *"4 CM evj OJ ro oo O' CO Ow c- r^ CO 00 ex' O' CD t4 CJ CM ro J* ^ in LH UJ UJ N- <0 fO ox er er 1 X J- -:r J- j- J" s j- ro ro 4- •s -t 4- 4- 4- 4- 4- 4- 4- 4- 4- 4- 4- 4- 4- 4- 4- 4- in in in in in IT UN in in LO in in in in in in LfN

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CO O’* J- UN ex' o in cx> OJ vP U) O Jt CM 4- ro CM ro OJ CD t4 UJ CD UJ 4- UX in r-l CM 00 c- UJ ON CD 4- CJ c- t4 in CM CJ N- t^ 4- X <\J rH -3* ON OJ CD UN fO OJ oo 4- ip N- eu U) CO ro 4- 4- CO CD t4 CM ro ex' ^ CD 00 ex> m u> CM UN ro OO er OO ro UJ UJ to 00 t4 o

ro O' j- f>w o N* OO 4- 0- r- J- O S CD CM in CJ ex' ro 4- O' to CJ 00 CJ 4- UJ r^ U) in -3- CM CD r^ 4- o UJ CM CO ro CO ro N- CM X ro UN L^ ro N. ro O' 4- cr 4- er to rw rvi eP O IfS o o K 4 in oo o ro in N- ex' ^p4 ro in r- ON CD CM 4- in N. CO o ^ ro ux

cr« O' o OJ OJ ro ro 4- in in «p vP N. r'. GO oo ON O o 4 t4 CJ CM CM CM CM ro ro ro ro to 4- 4- 4- 4- 4^ 4- in in in in in 4 tH H tH •4 H t4 H t4 »-« <\J CJ CJ CJ CJ CJ CJ CJ CM CJ CJ CJ CJ CM CJ CJ (M CJ CJ CJ CM CM CM CJ CJ CM X _J o N. U5 in O' •4- OO vP H ro in t4 r'- in ro 4- in ex' 4- N. 'fH CM c- (M UJ oo 00 t4 CM N. GO vP U) 4- 4- r^ r- .5 1 ,5 o to

, UX X C\J ex' U5 ex' in o in ex' ro o e\j 4- CM 4 O' r^ cO in ro 4- O CO N. CJ 4- CJ in in ro O CD CJ UJ CJ 4 ro 00 in UJ <r in o h- O' O' ex' ex' ex' ex' o ro Ow OJ ex' ex' CM ex' UJ xr4 »4 ro CD 4- UJ ro r»- CO <X> h- in ro t4 ex' in ro CD er ax r. r'- N- N- OO

ro J- •«-4 CO in OJ ex' vP 4- H oo vP ro O flO oo CJ in ro in 4- CJ o 4- t4 CO in CM cr> in CM er ux ro O UJ ro o N. 00

OJ fO ro 4- in vP lD N- oo ex' CD o 4 CM 4- UJ oo ex' o 4 CM CM ro 4- 4- in U) ux N- CO CO O' o 4 t4 CJ ro ro 4" in in

t4 4 ^^4 4 t4 4 4 CM CJ CJ CJ e'j CJ CJ CM CJ CM CM CJ CJ fU ro ro ro to ro ro ro fo ro

UJ _J H N. OJ H ro in kD in oo QO ro in rj e\j UJ t4 in in ro J* 00 fw »4 00 CM CD ro vO UJ CO 4- ro cr 00 CJ CM cr in CD CM ro X if> 4 ro o o OJ CD >p CO CD CD 4- UJ 4- N- ex' in C- ro ex' CM ro CD ex' oo CM CO UJ kD CD CO er ro <M in —J tJ in CM ro X IT ro j- j- ro OJ tH tJ ro UN O <D 4- in o CD t4 r^ o OO O 4- cn ^4 CD <o ^ t4 r'- 4- CD c- 4- CM O' UJ in 4- 4^ 4- 4- in ux

-0 (>j <T> vP ro CD 4- oo in ro CD OO 'P in 4- 4- ux r- t4 ^4 OO t4 r» CJ eo 4" ex' in 4 UJ CM 00 to er in 4 N. to er in T-( c- 4 OJ ro ro J* in in vO fv oo <t> ex' O t4 OJ ro in S- OO CO ex' O CD t4 «4 CM CM ro 4- 4- in in U) UJ N. 00 oo er er O t4 4 4 t4 t4 t4 ^ tH t4 t4 4 (M CJ CM CM CJ CM CJ CM CJ CJ CJ CM CJ CM (M CJ CM CJ ro ro ro o UN 0- ro OJ evj N. ex' flO CD N- OJ CD rj in r^ o rs. ex' in 4- ex' in 4- r^ CJ O CJ in in CO 00 00 CJ (M (T' O UN u^ ^ 4- o o Ifs C3 oo in in vP vP vP CD 4- ex' e'j cr ro OO rj U) U) ro o 4- CO UJ 4" oo o CM K. m N- 4- r- vP CJ in UJ 4- CD to vP vP in to er

N. X N. OJ o OO .3- in (\J e'j ro ® OJ CO in OO 4 o 4^ 4- in CJ UJ OO CO UJ 4^ O UN O 4- OX 'H 4- N- O' 4 ro in fw QO O' o o

CL "V O _l fO •H ro j- 4 CD 00 4- iP ro Jj- o <x> O 4- 4 ro CO ro in CO CD CJ 4- UJ CO o ro 4- in r^ OO ON CD CM ro 4- in u) N- CO CD t4

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V. QC 0> j- O' J- cr> OO <D O' ro ex' e'j CM 4- r^ OO UJ in f'- c- CO o CD ro 00 in CJ CD QO UJ in ro CJ 4 o er O' oo r- r- vP yD in in

CL <3 UN a ro >p LO CD CD ro GO h- rs- CD 4- ex' in CM CD CO in CM UJ LfN 4- ro ro ro ro CM CJ CJ CM CJ CM CJ w4 4 't4 4 r4 t-4 Q CQ

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NJ j- ro in QO 4- GO 4- ex' ro CO ro N- CO CM in O CM 4- O' 4- o o ro 00 vp o ex' CD CO cr vP r«- UJ in 4- CJ N. ro ® 4- N. <D

j- OJ flO O' j- -3- in CO CO ex' CD r^ ^4 evj t4 4- ro OO ^ CP o CJ N- C- C' r^ in 4- CM ro UN CO N. 4“ CD C- UJ CO 4- 4" o er ro IP O' vD o in OO vP <x> fO tH 4- t'- ro o ex' o in UJ CO ft> CM in ro 4 CM «o a ON in ex' 4 CJ (M ^4 eO in t4 C- CJ tw T-l 4" CO ro OJ «> j- ex' IP in 4- ro OJ fj e\( 4 e\i CM ro ux ax ro CJ flO ro rw CD CJ m vD ox ex' 4 (M to 4- 4- in UJ UX N- ax oo OO er

-t J- ro ro ro evj OJ OJ esi OJ fu e\j CM evj cu e'j CM CM CM ro in UJ vP N. r^ flO (X> CO CO ox 00 ex' ex' cr er cr er cr er er O' er cr er cr

-J CO r'- N- ro tH ip CO o ro o ro oO e\j r.. ro CO ^ CO r4 CJ 4 r>. 4 UJ CD CM ex' CM 00 in oo yM oo CJ in cr r^ CD cr in i-a o O cr a> oo fs. r^ r- OO tJ ex' in ro in CD cu 4^ UJ ro a UJ ex' UJ 4 t4 fO v4 CD CD ro CJ in ux y-t in in 4- o 4- c- cr 00 fy. in > X CO CO cx> O t4 OJ ro in vP r^ ex> 4 ro eP O' ro ex' CJ U) 4- in CJ tP CO ex' O' 00 U) 4- 4 00 in T-t ro er 4- er 4- cr 4- cr -3*

I X ro ro ro ro j- j- 4- 4- 4- 4- 4- 4- in in in in UJ UJ CO OJ t4 4- ex' ^4 ro in t'- ex' ro 4- vO QO er 4 CM in t'- ® o ^ ro

_I C3 o o a> o O CD o o CD o o CD C3 CD CD CD CD t4 4 CM CM CJ CJ ro ro fo ro ro 4- 4- 4- 4- 4- 4^ in in in m in in UJ UJ UJ

X _J OJ o cr J" CO O' ro f'- CO CO t4 ro in in 4 CD ON CJ to CM 4- f'- CM CO ux in ro 4- rw ex' o a 00 o c- vP er in 4- 4- r- UJ ro CD lO o J- n- 00 OO N. ro r^ CO >p CO ro eO r^ in in in ux in c- C- rs- 4- 4- <0 4- CJ t4 CJ UN N- t4 4- cr ro ® to er UN "H N- o ro OJ iD H in cr ro h*. in CO ^4 4- ip GO CO K. ro H o UJ UJ O ux ro t4 ex' f'^ UJ in 4- ro CM ^ CD CD er oo CO f'. UJ UJ U) in X vP vD Ifi in j- ro ro nj evj t4 O CD ex' QO N. ux in 4- CJ <o in 4- 4- ro ro ro CJ CJ CJ CM <M CJ CM CJ CJ CJ v4 »4 ^ ^ 4 t-4 4

M OJ OJ OJ OJ CJ OJ OJ CM nj CM t-4 t4 4

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iT\ o o o CD CD o CD CD o CD CD CD O CD CD CD o CD CD CD O CD CD CD o o CD O CD CD CD o CD CD o CD O CD O O CD O CD CD

N. CD o o CD CD o CD CD o CD CD CD o CD O CD CD O O CD o CD CD O o CD o o CD CD O CD O O o CD CD CD o O O CD O CD

lO f'- CO cx> CD tH OJ ro 4- in vp r>- 00 ex' CD v4 CJ ro 4" in ux f'- OO ex' o ^4 CM ro 4- in UJ r^ 00 ON o CM to 4- UN 05 N* 00 O' CD -4 H r-4 4 t4 ^4 4 CM CM CM CM CJ t^J CM CJ CM CJ ro ro ro ro ro ro ro ro fO ro 4" 4- 4- 4- 4- 4- 4- 4- 4- 4- in

134
Table 15. Continued.

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<l Q X X ro o X PJ tH tH ro X PJ X tH X X tH PJ tH X ro PJ X CO 0> 4 tH CD 4 X X PJ CD CM X tH OO X X X GO CD ro X O OO

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. 1 z a ro CM X tH X CD 00 CM X X CM X CD tH tH oo ro CD 4 X X X 4 o X ro tH CD X X X X 4 4 ro PJ PJ tH CD o X X

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r— CO O O O CD O o CD O CD CD CD o O CD CD CD O CD CD CD CD CD o CD CD CD CD CD CD o o CD CD CD o CD CD CD CD CJ CD o CD O

ro CD CD CD O o CD O CD O CD CD CD a O CD CD CD CD O CD CD O o CD O CD O o CD CD o CD CD O CD CD CD CD CD o O CD O CD

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X r^ CO cn O tH CM ro 4 X X X 00 X CD tH CM ro 4 X X K go X CD tH CM ro X X hx CO X CD tH CM ro 4 in X X OO CT* O

tH tH tH tH tH tH tH tH tH tH PJ CM CM CM CM CM PJ PJ PJ CM ro ro ro ro ro ro ro ro ro ro 4 4 4 4 4 4 4 4 4* in

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Table 15 Conti nued

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> 00 CD CD iS\ 03 cr CD CO CD CD N. LA 00 LO ro f'- O' 00 t-4 ro (M J- LA t-4 CJ ro lD GO CD t-4 tO o iX) t-4 LA A- A» LA AJ o V ro tr\ 00 N- GO 00 cr <o CD CM r^ OO <J3 cr cr LA ro J3 lA LfN CO GO cr CJ 03 yi ro <r LA t-4 GO 4- o lO t-4 Ow CM A- CM A- CJ o O' 00 LT* fO T“

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1/) CD cr CD 03 tD 00 ro 00 s f\i y-i ro cr 00 y4 GO 03 ^-4 cr OO CM lA cr N- 4- 03 OO CM kD cr lO C- o t-4 vC cr ro tH LA A- O 4-

V. fO C\i K) iCs N- •J* 03 00 GO CD 00 CO y-4 03 4- cr CJ ro 4- LA LA CO vO CJ ro cr c«. CJ LA cr vO J3 yi O 4- 4- t-4 4- ro cr ro ro

N. 00 in GO J- LTN ro <o cr CJ ro 4- 4- U3 cr o CO CJ 03 ro LA ro GO 00 LA jD vD lD lA 4- 00 cr lD ro cr LA a lD T—

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cr cr o OO 00 fo ro J- J- ir ir UD 03 c- C~ OO GO cr <r CD o tO yi CM CM CJ CJ 00 ro ro fO ro ro 4- 4- 4- 4- 4- 4- LA

vH t~4 t-4 0 *4 tO y^ y4 y4 yi CM CM OJ (M CM CM CJ CJ CJ CJ CJ CM CM CM CM AJ CM CM CM CM AJ CM I _J lD ITN J- »r> ro H CD OO ro H tO cr CNJ 00 \D N- 4- ro ro cr 4- CD CJ 4- .9 , 7 03 N- ro 4- 0- l£) 4- cr LA ro cr o CD 4- ro cr LA X N- N. cr J- CO ir s. 00 GO <r ro \D cr GO lA vO r- <r ro lA 4- OJ yi OJ GO lA O' t-4 r^ 00 CD ro CM CD r^ ro yi O' GO O' t-4 M3 V vD N. N- vD vO 03 r^ CT> OO r^ ro 00 y£> ro vc K ro 4- 03 yi 4- cr o C- ro lO cr t-4 CM ro 4- 4- LA lD lC rw GO CD t-4 J- 00 cr iD ro o r- H cr J- CJ o GO N- vD iC cr 4- GO o yi O GO A. 4- CJ cr v£) -S' t-4 GO lA AJ cr vO ro O A- lA AJ 0 00 ro J- J- ir 03 iD r^ GO rr CD CD -t-4 00 ro 4- 03 r'. cr CD yi yi 00 ro 4- lA vD r- t'- 00 cr cr o tH AJ AJ ro 4-

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t-4 00 00 hO J- ir ir «J3 N. r^ CO cr o <H CJ ro 4^ lA vO GO cr CD o tH yi OJ ro ro 4- 4- lA lO vD A. A. CO (T o

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J- flO fT) cr 03 ro o OO vJ3 J- 00 CD cr GO vC LA 4- ro 00 t-4 J- -J- ro fO 00 00 00 rj 0 yH H

NJ CJ H CO 00 CM ro ro CD y^ cr cr GO r- H C3 v£) GO N. ro CO CD lA ® 4- cr lA t-4 ro lA lO I'. c- CM 00 4^ CM A- cr A- cr cr

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263
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Table 15. Continued.

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139

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t-4 CM CJ ro 4- 4- A A r^ r'- OO O' O o t-4 CM ro 4 A A N- A o CD t-4 CM ro 4- A A A 00 00 O' CD t-4 CJ ro ro 4- A

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1 or

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or

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I O' 0 0 0 0 0 0 CD 0 CD CD 0 CD CD 0 CD 0 0 0 CD 0 CD 0 0 0 0 CD 0 0 CD 0 0 0 0 0 0 0 0 0 0 CD CD CD 0 CD

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; i; 141
Table 15. Continued.

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4* 4 ro ro ro CM CM CM tH

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0

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z Cl -1 ro ro CM yi 0 CD 4 CO CJ 0 CD ro ts a (vj 4 0 ts r- |s ts 0 rs. 0 ro ts CJ GO 4 tH GO 0 ro yi O' r^ 0 4 to CD (J* CD lU 0 0 X 0 0 0 0 4 4 to to CJ 0 0 0 GO 00 Is 0 0 4 to CJ tH CD 0 0 CO 7 7 0 0 0 0 0 0 0 4 4 4 4 4 4 to ro 0 CJ (M CM CM CJ CM CJ CM CJ CM CM CM CM yA yA yA

T K 0 0 CD CD CD CD CD CD CD CD CD CD 0 CD CD 0 CD CD CD CD 0 0 0 CD CD CD 0 CD 0 CD CD CD 0 CD 0 CD 0 CD CD 0 CD 0 CD 0 CD

CD 0 CD 0 0 0 0 0 0 0 0 CD 0 0 0 0 CD 0 0 0 0 0 0 0 0 0 0 CD 0 0 0 0 0 CD CD 0 0 0 0 0 0 0 0 0 CD

ro 0 CD 0 0 CD 0 CD 0 CD CD 0 0 0 0 0 0 CD 0 0 CD 0 0 CD CD CD 0 0 0 0 0 0 0 0 0 CD 0 CD CD 0 0 0 0 0 0

0 C3 0 CD CD 0 CD CD 0 CD 0 CD 0 CD 0 0 0 0 CD 0 0 0 CD 0 0 0 0 0 0 0 0 CD CD CD 0 CD 0 0 CD 0 0 0 0 CD 0

0 N. GO 0 0 (M ro 4 0 0 ts <0 0 CD CM to 4 0 0 ts GO 0 0 yA CM to Jt 0 0 rs. CO 0 0 yA CvJ ro 4 0 0 IS 00 0 0

tH yA yi H CJ CM <M CJ CM CJ CM CM CJ CM ro ro ro to to ro ro ro ro ro 4 4 4 4 4 4- -4 4 4 4 0

142
Table 15 Continued

3 o MD ro ro in o M3 in in CO tH N- J- CM ro in O' M3 N- O' CO CVJ M3 M3 CM ro j- ro ro ro j- M3 00 o ro in OO -i- c- o to M> 00 UJ <X> M3 O' fVJ M3 O' ro M3 O in o in Q M3 rw CM OO CM O' C". M3 in j- j- j- j- J- J- in in LfN in M) M3 M3 rw S- N. CO CO fO CM CVJ C3 o cn O' CO 00 c>. N* M3 M) in in j- ro CO CO CM CM CM CM CM CM CM CM CM CM (\i CM CM rj CM (M CM (M CM CM CJ CM

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d- j- j- -j- ro ro ro j- j- J- J- jt j- j- j- .J* in in in in in in in in in in ir> in in in in in in M3 M3

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T-l 4 4 4 »4 4 »4 t4 4 t4 t4 4 t4 t4 v4 '»4 CM CM CM CM CM CM CM (M CM CM CM CM CM CM CM CM CM CM CM CM CM CM X _J N- (M CM 4- O' ro in CM N. O CO CM fs- 4- M3 in 4- 4- N- c^ O' CM M)

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143
Table 15. Continued.

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144
Table 15. Continued

3: o O' ru OO in j- 03 cn 4- 4 cn O CJ N. r^ eO o in CVI CJ eO 4- 03 to PO p- CJ O 00 CO cO oo O' o (VJ 4- 03 o (VI in Pw cn

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145
Table 15. Conti nued

I 3 o rj ID T-* oO 00 ID H 00 flO CD ro o CD CM 4 eo ID 4 ID CD M3 |v CM O (VJ ID T-l CO M3 ID ID ID ID M3 hv <X> o (VJ ro ID tv CD

UJ CO CM Lf\ CD OJ J3 4 ID O 4 (D 4 o D tH OO 4 CD M3 to o tv ID to OJ H o CD CD OO OO OO GO 00 00 GO CO CO CD CD CD CD CD CD

trt fO fO OJ o o CD CD 00 |v tv tv M3 M3 ID ID 4 4 4 4 to to to to to to CM OJ OJ OJ (VJ CVJ CM CM CM CM CM CM CM CM CM CM CM

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V. LT» o CD 4 S- 4 yD o OJ CO iT\ vO 4 OO ro to M3 CM tH 4 CD M3 to CD LD O' 4 o r^ vO CD \r\ M3 tH tH fv CD M3 CD (T> M)

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Table 15. Continued

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147

318
Table 15. Conti nued

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:> C9 J- N- J- (M J- C>J o vX) r*. O ro uO O' of ro 03 UN r^ ro UN tn CO O' 03 O' CD N. •H ro ro O' J- 03 r'. in rj 03 O' o 'v ITi (\J o vO N- tH OO N. O' fO N- o <'j U3 ro J- o O' OO r» 03 in ro •H O' 03 j- O r- fO O' J- O in o UN o J- OO ro O N- ir» fO ^-4 O O O' O' O' O' C3 o tH tH o O o J- in 03 03 r«- «o O' CD CVJ ro ro 4- in in 03 03 x> CO cr» O' o CD o 4

X j- J- j- ro ro ro K> -4- J- jr- j- j- j- J- j- J- j- J- J- j- j- J- in in in m in in in in in in in in in in in 03 03 03 03 ->

1/3 ro J- 4- 4 <ri in CD UN CD j- pj t4 in ro O' 03 O' o CD O CD CM ro CM N. o o O' O' ro in 00 03 ro t4 CM CM •H CM N. cr> O' 03 r4 CNJ H ro O €0 in CD 03 fO j- r.. ro ro r4 J- ro t4 03 ro ro 03 t4 o t4 J- 4 CM 03 j- N- in GO 03 o o 03 (X> t'. —1 -3- (NJ j- O) 4 CD in in fO <D t4 CD (O 03 CO 00 O' O' O' GO 03 ro CD 03 t4 03 CD ro in r^ OO eo OO r'. 03 j- (NJ CD K ro cn in

03 ro t-4 CO UN t4 05 4 03 CD in O' fO 03 C3 ro 03 O' fO m OO J- f'- O CNJ in |w CD CM -3- 03 OO O CM vO «0 o (NJ ro in vC OO V O' CD 4 t4 (M ro ro j- J- in in in vO 03 N- r- r^ CO eo CO O' O' O' o CD CD o 4 t4 CM CM CNJ (NJ (NJ ro ro ro ro ro ro

"3 4 *4 4 t4 ^4 t4 4 4 4 v4 »4 4 t4 (M CM CM CM CM CM CM (NJ CM CM CM CM CM CM CM CM CM CM CM CM X _i CD CNJ ro in CM j- 03 <x> CO <T> in 03 O' in 00 CD CD t4 j- CM O' J- CM in ro O CO rw GO 4-

. 1 ,4 in 0N O o J- in j- 03 CNJ X in (M CO CO cr> CM cn CD 03 00 N. j- CM ro j- p- ro 03 eo CD CD O' -3 ro in OO O' O' 03 CD o h- o o rw ro 03 r^ 03 J- CM V CD (NJ cr r^ in J- fNJ CNJ »4 t4 CNJ -3- O) O' t4 ro ro o in in in in r^ cn ro in p- O' CM CM ro ro CM CNJ t4 o O' GO r«. 03

-3 03 t4 CO J- *4 00 in CM cr 03 ro O s- j- 4 cn 03 ro 4 CO 03 CM CD OO v£) in ro •H cn v£> J- (NJ o OO 03 CM O K in ro t4

CNJ (NJ ro j- j- in 03 03 r^ OO CT> O' C3 4 ^4 CM ro J- in >S) CO GO O' o T^ CM (\J ro J- in 03 r.. eo O' o 4 v4 ^J ro j- t4 t4 v4 4 4 t4 t4 »4 t4 t4 CM CM CM CM CNJ CM CNJ CM CM CM CM CM ro ro ro ro ro ro

LU _j 03 in OO ^4 vD O 03 ro J- N. oO vC in ro j- in r^ t4 CM O' CD OO X o in ro O' t4 <J' 03 in CM t4 X 4- X CD O) X X X

X OO r^ ro O t4 CNJ ro rw ro CM in ro 03 ro O' N. CNJ in ^4 4 J- CJ CM 4- 03 03 ro X 03 (NJ CM (T* CM CM CJ' ro 03 X CO X 03 in 4

X X K j- CD in O UN o 03 CM 00 in CNJ o N. 4- t4 in in 03 X GO CD CM 4- 03 00 o t4 rj ro ro CNJ CM «4 cr CD 03 4- CNJ O CO 03 4

—> CM P. j- fs. j- CD K ro o ro O r^ ro o X ro o X J- t4 CJ* 03 ro o X in CM CJ' \0 fO O X 4 CD X 4^ 4 00 in 4 00 in

t4 CM CM fO j- in 03 03 hw 00 GO O' o CD ^4 CM CNJ ro j- j- in 03 X X CO cr O' O CM CM ro 4- 4- in 03 03 X OO eo O' 4 v4 4 4 w4 4 4 CM CM CM CM C\J CM CM CM CM CM CJ CM CM CM O O' o UN ro r^ ro (T> O' 4 (VJ 03 O' 03 ro t4 00 in X J- 4 03 X X ro OO in o 03 CJ' X X CD 03 CM in CM o ro 00 CM CM o

o o OO 4 ro j- r'. ro o CO 4 N. 03 ro J- ro 4 ro t4 03 s t4 .3 ro X 03 OO 4- CM O' in CJ» O O O' ro in CM o 03 O' 03 03 CM eo in

V. X r- .3 03 CO CM CM r^ t4 in X CM j- «o t4 O CM 03 (T t4 O J- ro tn O 03 ro CJ' CM ro CJ' 4 vC ro 4- 03 o in o 03 ro o 00 in ro o in J- OO O' J- CT> CM ro <T> o v£3 in r^ ro 4 4 ro X .3 CM w4 CNJ GO CM 00 4- CM CD CO 00 X X X X GO OO CJ' CJ< o 4 4 CM ro

1 j- in j- in OO t4 O) 4 03 ro cn 03 ro t4 O' 1^ in ro CJ O CJ' 00 X X 03 03 03 03 in in in in in in m in in in 03 03 03 03 03

a: cr> flO r^ 03 in UN J- ro ro (NJ CM (NJ rj ^4 4 t4 4

oc r- 03 ro CD ro CD cr> r*. 03 CD ro j- a> in GO GO 4 eo 03 a> X O X O' CM ro CM o GO t4 in cr in OU 03 CM <j' ro 4- 'H 03 ro 4 03 o X r^ (NJ 4 j- j- N. ro 00 O' CM O o 03 CJ' fNJ 03 ro GO in X t4 ro X a eo 03 ro ro 4- 4- O' eo cn CJ' O' 03 O er> 4 fO 03

CD X (X CM in r^ CNJ in J- (NJ t4 GO CO r>- in 00 j- ro CM t4 O 03 o o X CJ' X O' in O) cr \0 03 eo CM OO in 4- 4- in X o 4 X CM X (M a <r ro (NJ «4 UN J- r>- ro t4 (NJ in CD 03 ro ro O) CO CNJ 03 O UN 4 X 4 4 GO 03 4- CNJ 4 O' 00 X 03 in 4- 4- ro (NJ CM 4 4

CD o CD

in 03 CM r^ ro (T 03 ro 4 O' r^ in j- CJ 4 CD O' GO X 03 Ol in in J- j- ro ro ro CNJ CNJ (NJ CM CM t4 4 4 4 t4 4 t4 t4

ro -3 J- ro fO (NJ CM CM CM »4 4 4 4 4

<i M 4* o in O' CM CM cr 4 X 03 CJ 00 X O) 4 03 03 t4 O O) cr CM O CD CM CO in in 4 O 03 4 X OO 4 03 CM in tO 00 ro 4 ro O' CM X CJ' 03 CM 4 ro O) tn CM ro X 4 O' 03 t4 O 4 CM CD ro O CD O' in in 03 03 O' X ro X X ro in CM in ro X X X

«4 in 4 ^ o o rw X CO OO in OO O eo CD in ro 4 eo 4 ro 4 03 ^ X 4 CM cr CO X in ro t4 CO in t4 X CM X (\J vO o

no O' CM ro eo vO 03 N. CD 4 O' in »4 <0 03 ro CJ o cr GO X X X X X OO <o O' CD 4 CM ro 4 in 03 03 CO GO cr cr o CD 4

o

00

t-» 4 o GO 03 in 4 ro ro CVJ t4 t4 4 O CD o a o O' cr O' cr O' cr cr O' cr cr O O O CD o o o O CD O CD o CD O 4 t4 4

CJ CNJ r4 4 f-4 4 t4 4 t4 4 t4 t4 4 v4 »4 t4 t4 v4 4 t4 t4 t4 4 t4 t4 'H t4 t4

UJQ -1 _J CD CM X in X ro 4 O' O' in 03 4 GO ^ CM CM in CD ro o CM CO X OO GO X CM CM 4 cr fO 33 4 4 in 4 t4 4 ro ro H4 o o O' 4 0> hx 03 in 4 4 in 03 CO <=> 4 GO ro O' 03 4 4 u^ N» t4 0) CJ CD cr 0> o (NJ 4 03 CO ro 03 OO CD CM 4 in X CO cr

ce: > X X CO cr O' CD CM ro 4 in 03 N* cr o 4 ro 4 03 GO o CM 4 X cr (NJ tn X o 4 X o ro 03 a ro 03 O' ro 03 cr CM in eo f4 o X ro ro ro ro 4 4 4“ 4^ 4 4 4 4 4 in in in in in in 03 vf3 03 03 03 X X X eo eo eo O' O' cr CD o CD o t4 t4 CM CM CM ro

_l

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_J CD CD CD CD CD o CD o CD o o o O CD CD CD o CD CD o CD O CD O CD O CD o o O o O o t4 4 5t4 4 •H H t4 4

M

o: z -J X X »4 CM 00 o cr in X 03 CM 4 ro GO cr 03 o CD CO in CD ro ro in 4 <o in in o (T CM X ro CD 4 03 ro 4 O' in CM O

UJ X GO CM ro ro CM CM CD cr N. in ro CD X ro cr in 4 uO o in CD UN o 03 ro CNJ CM 4 cr 03 03 X CM eo X OO o 4 o X m in 03 eo z o -I ro o in O UN o in O' 4 O' 4 <r ro OO CM r^ CM 03 t4 in O 4 O' ro OO ro GO ro CO 4 O 03 ro cr 03 ro 4 CO 03 fO r* cr in lU o

05 X 03 03 U3 in 4 4 ro CNJ CM 4 o O O' cr CO eo Cx X 03 03 in 4 4 ro ro CM CM t4 4 4 CD o 6 6 cr cr <x) eo 00 00 X

o CM CM CJ Cvj CM CM CM CM CJ CM CM CM CM 'r4 4 t4 4 4 t4 4 t4 t4 4 4

1-4 z: 1— V CD O CD CD O O CD O O O O O O o O CD o o O o O CD o CD CD o o o CD o o o CD CD O CD CD o o CD CD CD o O

X o o O o o O O O o O O o CD CD CD O o O o o O o CD O o o o O o CD o O o o O O o o O CD O o o

vO o o o o o o CD CD CD o o o o CD O o o o CD CD o o O o o o o o a O CD CD CD CD CD o o o CD O o CD CD

CNJ o CD a CD o CD o O o CD CD o o CD CD o CD CD o o CD o CD CD o CD o o o CD O O CD a O o o CD CD O CD o O

X OO cr CD t4 CNJ ro 4 in 05 X OO cr o t4 CNJ ro 4 in 03 X GO cr O CNJ ro 4 tn 03 X 00 cr CD t4 (M ro 4 O' 03 X cr CD

t4 »4 t4 4 t4 t4 t4 (NJ (NJ CM CNJ (NJ CM CNJ CM CM CM ro ro ro ro ro ro ro ro ro ro 4 4 4 4 4 4 4 4 4 4 in

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Table 15 Conti nued

3 o CJ vD •J- ro U) o N. 03 03 H UD UN 03 O' 03 j- UN ts- t-4 UN 03 <X) CM CJN N- r^ GO H 03 r- 4 CM o cr> GO GO GO 00 GO CO UJ C\J no tH UN cr> NO CO f\J (M OO ro O' UN CM OO UN t4 flO UN lO o CO 03 j- ro o O' 00 CO vD vO 03 vjD UN UN UN UN UN UN IT> CO ro ro CM -4 o O a* O' OO CO K f>^ r- OO vO v£) UN UN UN UN j- J- j- 4

- 4 to ro fO ro ro ro ro ro ro ro ro ro ro ro ro ro V

s:

T-l H rH T~<

Q. N. ro O fO J- cr> UN o Kl <X) CM CO ro O' CM t-4 J- tN. tH o o 00 -S' U) vO UN ro 4 o CM ro ro ^o UN O' 4 CM CM ro C\J O *s. <30 v£) o 03 O' tH j’ a> UN N* ro ^£) UN O' CM UN CM CD O' J- CJN 4- CJN o o CJN CO nX> CM CD CO 03 UN 4 ro CM 4 t4 o CD (T> CO 03 GO 00 03 O' o O t-4 o UN UN U) rs. N- 03 <T> CJN o CD o tH 4 o CD O o o o O' <T> O' O' O' CJN cr> cr

vO vO U3 U3 U5 U3 03 03 iX) N. N- N* N- N. N- N. rw GO CD 03 GO GO no CO GO GO CO CO N. r>- r'- N.

:> V 4 r^ 4 ro o CO 4 UN r'- O) GO o ro ro UN ro UN 4 CJN o ro ir\ O) 4 O' H O UN fx. vD CM UN LA ro CJN CM ro (\l O' UN OO CD o V CM CM O 03 r>- <o v£) rw cr> CM 0) (JN CO 4 4 4 ro o 00 CO r«. lO UN 4 CM t4 CP vD ro o ro O' UN o 03 4 03 CD UN CJN 4

o r^ UN fO tH CD O cr> O' CT' O' o CD o t4 o CD CD 4 4 UN UN <n C'- GO CJN O 4 fsj (\J ro 4 UN UN 0) 03 f'- <30 OO cr> CJN CD CD o r~l z: 4 4 4 4 4 4 ro ro ro ro 4 4 4 4 4 J* 4 4 4 4 4 4 4 4 UN UN UN UN UN UN UN UN UN LA u UN UN UN vD U) 03 03 V

LO 3^ 4 ro 03 lA 03 CJ 4 03 r- 4 03 CM 4 4 03 CM UN t4 4 o CM 4 GO GO t4 rs- GO CM 4 4 ro CD 03 UN O' Q t4 UN ro CD r'- U> CD ON V o ro CJ CJN O 4 CD 4 4 4 GO C'. O' 4 CO UN ro CM 4 GO 03 GO CM CD CM LA r^ ro CM 03 4 GO 03 O' <o ro ro CD 4 ro O' XT' o CM 03 nO o t4 GO ro UN UN CD UN GO o O' CD CD O' r'^ 4 4 fw ro GO CM UN GO o CM ro ro ro CM 4 O' f'- UN CM CJN UN t4

s: 03 t4 CO •t O vfi 4 u CD 4 <c CVJ vO CT' AJ vO GO e>j UN N- CD ro U) CO ^4 ro 03 CO CD fO UN f'- er 4 ro U' UJ CD CD CM ro UN P- s (T> CD 4 AJ ro ro 4 4 UN UN UN 03 lO vO tN. r^ r^ CO CO CO O' cr CT CJN O o o CD t4 t4 4 t4 CM CM CM CM CM ro ro ro ro fO

t4 t4 4 w4 t4 4 t4 4 4 •4 4 t4 t4 t4 t4 CM CM CM CM CM CM CM CM CM CM CM CM CM CM CM CM CM CM AJ X _J 4 ro ro CM 4 r^ CM t4 CO CJN ro (JN ro ro UJ O' r>- t4 O UJ *t4 CM t'. 1^ CT CD f'- GO ro ro O CM 4 CD 4 CD CM CD N. 4 4 O' X CD UN U) 00 U) 4 UN cr UJ 00 UJ O' o UJ ro 4 UN <JS <T> f'- 4 O' CM CM O' t4 CO »XJ UJ h- r^ UJ ro GO fO CM O UJ 4 A. CT' CD V ro no A- UN fO O' UJ UN UN UN r>- OO o CM U3 CM O' UJ UN 4 ro 4 4 UN UJ r^ GO CTN CD CD 4 4 t4 CD CD O' 00 r^

no CM O' 03 ro CD U) ro o r»- 4 t4 OO UN ro o t'- 4 t4 O' UJ 4 CM o GO U3 CM O GO UJ 4 ro a> UN ro O' nO 4 CM O

4 CM AJ ro 4 UN UN UJ hw S- CO (TN O' o 4 AJ CM ro 4 4 UN UJ r*. 00 GO O' CD T-l CM CM ro 4 UN UJ \£> GO O' O o AJ ro 4

t4 t4 t4 4 4 4 t4 4 4 •r4 'H t4 4 CM CM CM CM CM (M CM CM CM CM CM CM ro ro ro ro ro ro

lU (M GO U) CD AJ CD 4 4 OJ CM o C3N AJ UJ ro CM 4 GO »4 CM CM UN r^ CM O t4 UJ UN CTN UN r- CM ro GO 4 ro r*. N- UJ UN CT GO N0 ro

2: UN ro LA t4 U) CO N- o> 4 CM UJ CM t'. ro UN ro O ro CD 4 U3 ro 4 CT> fO 00 CD CD r- 4 4 4 AI O' UN CD 4 CD CM nO

t4 UN UJ 4 UN CD 4 CT 4 o UJ CM O' UN t4 <JD O' CO r'w UJ <X) UJ 03 r^ GO flO CJN o CD t4 t4 O O O' CO rv. UN 4 ro 4 CT CO UD

ro r^ 4 CD N. ro CD U> CM (T 03 CM CJN UN CM CJN UN 4 00 UN CM O' U3 ro o r^ 4 O' UJ ro O S- 4 o N. 4 t4 OO O' CM GO UN CM

CM CM ro 4 4 LfN UN UJ r». r» OO CJN CT' CD 4 t4 Ai ro ro 4 UN UJ U) N- CO GO O' CD 4 4 CM ro ro 4 UN UN UJ r^ r^ CO crN

t-4 t4 'H 4 t4 4 4 4 ^t4 4 r4 CM AJ CM CM CM CM CM CM CM CM AJ CM CM CM Q ro r^ 4 «4 CJN no CM 4 t'-. <x> AJ CM CT> CD ro UJ UN y~t ro O' o CD t4 GO 4 4 ro t4 GO f'. AJ r4 O' O' CM U3 UN GO CO CD UN CM

CD o ro U3 CM O' CM r«» CTN ro o no LfN 4 00 CD CM UJ CM CM CD 4 ro ro ro O UN OO t4 ro UN CO CM 4 ro ro CM CM ro CM eo CD LA 4

X X o CT r^ fN. ro UN 4 UN UN 4 r'. rw O' 4 CO OO O t4 CD UN UN CT \D UN 4 ro CM OO o UN 4 U3 CM o o CM UN CJN 4 CT nO CM O' Q CM CD ro ro r^ 4 4 4 O 03 UN ro o CD ro r^ ro O O' O' t4 4 OO ro CTN UN ro 4 a> OO f'. r^ r^ rv. t'. rv. CO CO <T> o CD

1 U) 00 r>- 00 CD 4 CO ro C3' UN t4 00 UN ro <T‘ UN 4 ro o O CJN o GO r- UJ u> n£) U3 UJ UJ u> NO U) vO nO nXJ f'- O' CD UJ 03 UN 4 4 ro ro ro CM CM CM CM t4 4 t4 4 4 4

m

t— no UN •r4 C3 ro U3 4 nO 4 CTN UN ro O' UN O' 4 00 IN- UN no 4 ro 4 vO ro UN 4 ro UN 4 O' O' U' ro 00 U' nO «3 CD ro ro o V fO O' 4 GO o r*. UN NO CTN UN fN- ro t". CM CT CD 4 4 4 ro o O' O' nO no r*. UN CD CM o ro cr NO CM f'- o Cr UN UN CD V ct UN r^ r^ CD t4 o n£J UN CD CD r^ CD UJ UN 4 ro CM GO «4 4 r- 00 UN LA CD CT t4 SJD 4 4 K t4 Cn. 4 CM CM ro 4 |N- O' fO rv CM

CL d

OD

N- CO N. w4 o CM CO OO LA CM CT' OO GO (T ro A- »4 UN CD nO CM O' UN ro CD GO U3 4 ro >r4 o CJN GO NO UN 4 4 ro ro

vD AJ ro CD K- 4 <r4 CTN nd 4 ro t4 CD CT GO GO UJ NO UN UN 4 4 ro ro ro ro CM CM CM CM CM CM 4 t4 4 ^ 4 «r4 4 4 ro ro ro CM CM CM w~i t4 t4

AJ nO *4 OO ro CM ro CM GO CD r^ 4 ro 4 OO CM 4 ro UN O' t4 UN 4 4 O t4 CM <T' OO O' O n£) ro O' CO CM O' N- 4 O UN UN CD

ro 4 CM CM o UN 4 nD ro 4 UN >X) CTN CTN O' nD U3 nO UN no UN ro CD 4 CM CM 4 GO CD U) CM CT> 4 no CD CO 4 K rw ro 00 GO UN GO nO N. CM rs. nO no CD o CD ao 4 00 ON ro O O CM N. 4 ro ro UN OO CM UJ CM h- ro OO 4 CJ' UN O' 4 CO CM O' CM IXN

r>- o CO 4 A* UJ vD GO nD t4 n£J ro cr> r'~ 4 CM o CJN OO |N- r^. CN. N- A- N- CO CO O' O' o CD CM CM ro ro 4 4 4 UN UN 4 ro CD ON f'. nO UN 4 4 ro ro CM CM »4 t4 4 ^4 4 o o o o CD o O o o o o O 4 ^ v4 4 t4 4 t4 4 ^4 t4 ^4

CM AJ CM 4 4 t4 4 4 t4 t4 ^4 4 4 t4 4 t4 t4 t4 4 t4 4 t4 t4 t4 t4 t4 t4 t4 t4 4 t4 4 ^4 w4 ^4 4 4 4 t4 'H 4

_j -J CO 4 |N- ro ro hw UN A- ro 4 H CM o 4 UJ 4 t4 nO CD 4 r«. t4 NO f'- CM nO 00 t'. CM CM 4 O vXJ 4 CM ex' vO CM nO CT t4 CM 4

o o CO ro CD flO UJ 4 ro CM CM CM fO 4 nO <D ar4 UN O LA CM (JN t'- A. r- CJN ^ LA CT' 4 o 4 t4 CJ' n£J 4 CM O' r^ UN CM O' r^ t4 > X r>- GO CTN O' O v4 CM ro 4 UN UJ r>. CO O' r4 CM 4 UN A. GO o CM 4 nO O' t4 ro U) CTi t4 4 fN- O' CM UN 00 o ro nD O' t4 4 r- a

N. ro ro ro ro 4 4 4 4 4 4 4 4 4 UN UN UN UN ITN UN U) UJ nO UJ nO r'- A- N. r>- OO GO 00 no O' O' O' CD CD o CD CM

-1 o CD CD CD o CD CD o CD o o CD O CD o O o o o o CD o o CD o CD O o CD O CD CD CD CD O O t4 tH 4 t4 4 t4

z -J GO la rw U3 CM 4 UN ro CJN ro UN nC UN AJ GO ro nC CD to 00 UN UN 4 UN to CM t4 UN IN. r^ UJ UN -J' CM 00 CM CM 00 GO CM O' nO UN UJ N. O' eo ex' o ^ 4 v4 CD O (7> OO r^ UJ 4 to O GO vO UN 4 4 4 UN 00 (M fN- 4 to 4 IN- tM O' t>- CO o ro OO UN CM t4 y^ CM o to o UN vA t4 U3 y4 U3 H UN o UN CD UN o UN CD 4 (JN 4 CJN 4 o> 4 CJN UN o vO CM GO 4 4 4 ^-4 O' UJ ro y^ O' rw UN ro X N& U3 UN UN ^ 4 ro ro CM CM •rH 4 o C3 O' O' 00 to NO UJ UN UN 4 4 ro ro ro CM CM t4 4 t4 o o O 9, 9.

O' 9. 00 GO 03 CO

CM CM CM CM CM CM CM CM CM CM CM AJ CM CM t4 4 t4 4 t4 y-4 4 t4 4 4 4 4 t4 t4 4 4 ^4 t4

T K 4 CD CD CD CD CD O CD CD CD CD O O CD CD CD o CD O o CD CD CD CD CD CD o CD o o CD o O CD CD o CD CD CD o o o o o

ro CD O o O CD O CD O CD CD CD CD O (D CD o O o o CD O CD CD O CD o CD o o CD CD CD O O CD CD CD O o CD o o CD

UN O o CD o O o O o O O O CD O CD O o CD o o O o O O o O CD CD o o O o O o o CD O CD CD o CD CD o CD

ro CD o CD CD O CD O o o CD O O CD CD o o CD o CD O CD CD o o o CD O o o CD CD CD CD o CD CD CD O CD CD CD CD CD

N- CO (T> CD AJ ro 4 Ln vjO tv. <o CJN O •»4 AJ ro 4 UN UJ rv. 00 CJN fD 4 CM ro 4 UN NO N- GO ex' O 4 CM ro 4 UN U3 r'- OO O' CD 4 4 t4 t4 4 4 t4 •4 ^4 CM AJ tM AI AJ CM CM CM CM CM ro ro to ro ro ro ro ro to ro 4 4 4 4 4 4 4 4 -J- 4* UN

149
Table 15.

I Continued.

2 o O' T^ j- J- CM o o CM X) CM CM j- O cn N. X) 00 in CM O o ro f'. ro o O' O CM in O' in in ro H o <r> cn cn O'

LlJ fo o ro N. in o in a in O X) CM OO in tH <D J- a> X) J- CM o 00 X) in j- CM CM C3 cn O' O' OO <® 00 00 GO r». ri. N. t»- (/) a- J- ro (\J (\J o o O' O' 00 OO r*. !>- r>. X) X) X) in in in in in J- 4- 4- 4- ro ro ro to ro ro ro ro ro ro ro ro V

2: tH -< H

a N. a- oO CM J- 00 OO cn CM O' N. in o CM O' X) in in O' in ro in in x> O' H in •H CM O' CM ro ro ro ro 4- in 00 CM fw 4

o m in ro <o ^T) vO OO tH X) tH X) CM o CO in CM a- o oO X) ro o X) in flO rH CM ro ro CM CM o O' OO K X) in in 4 4

o o O' CO N. N- OO CO O' O' O O o o o J- j- in in lb n- QO OO (T cn <ji ca o o o o o O a O' O' O' cn O' O' O' O' z N. >JD iJD >X) X) vO vO X) r>w K. N- N- N. r*w N. N. N- N. t'- 00 CO OO OO <o GO CO 'O r'. N. r^ r>- N. > in r^ 4 CM o r^ CM to X to LT\ X CO ts. ir> r«- X o tH 4 X CO X CM X in 4 4 »-4 X r«w X CM X OO OO X X r^ o O' CM o X n- CO X ts. O' CM X CP o r- ca to o CM O' 00 P- X X 4 ro CM O 00 X ro C9 ro O' X X vD X o 4

o X in ro O o cr O' cn cn o O O o o o 4 4 4 X X ti^ OO CT» O CM CM ro 4 X X X X p- «0 CO O' (P o C3 z 4 4 4 4 4 4 to ro ro ro 4 4 4 4 4 4 4 4 4 4 4 4 4 4 X X X in X X X X X X X X X X XXX X X

O' o rs. O' OJ 00 CM ro OJ X fO ro X to 4 X tH CO o CM a> CM 4 00 p. CM X X X 4 fO X tH ro ro to X H 4 X 00 ro CM p.

V. in in X fO X rw o 4 X O t-4 CM X CM O OJ X OO CSJ o o to O in ro X X 4 X CO X O X 4 in ro P. p-

-J 4 X X OO OJ X X ro (t> o O 00 4 X CM to CM CM o CO X H p~ CM X o ro X CO X o o o X X p» 4 CM X X CM CO z nj CD r^ 4 Q in O in O' 4 CO X CO CM X 00 tH 4 p>. O' CSJ X p- o CM X p» X ro X OO o to X P- X O CM 4 X

O' o CJ ro ro 4 4 X X X X X P- r». ri. to CO GO 00 X X X o o o o o tH CM CM CM CM OJ CM ro ro ro ro

X -) o X 4 CO X O p- CM 4 ro m X o X ro 4 CM P~ 4 ,8 > 6 .9 X to. 4 00 O' P- X to X 4 -H X p- X 4 4 X o X

X X <o CO 00 4 O X o 4 to X X o o 4 r^ <o OO to X X CM X X X X X 00 4 p. o CM CM CM X X CM CO to p. V X 4 fO rH X r^ 4 ro O (JN X o CM CM CM o X X X 00 X ^ ro CM CM CM CM ro ro ro 4 4 4 4 4 ro ro ro CM CM

“> CJ 4 to 4 00 X CM X X OJ o p. 4 ^ 00 X CM X r^ X CM o CO X 4 (SJ o CO X 4 CM o to X 4 CM o OO X 4 CM a

OJ CM ro ro 4 X X X r<. r^ CO X o o CM CM ro 4 4 X X P- CO 00 X o T* CM CM to 4 X X X r^ CO X cy o ^ CM ro 4 4 CM CM CM CM CM fsi CM CM CM CM CM CM to ro to ro ro ro

UJ a o X CM ro OO X X CM X OJ OJ ro 4 H X X CO X X 4 X o ro o 4 X o to ro 4 X CM X X ro X 4 O X o

X p- 4 H CM OJ X X rw OO to o X OJ X 4 ’H tJ X 4 p~ CM X CO r^ X X 4 •H r^ 4 X X X X PO X X 4

V X CJ CO fO P- X X ro rw CM p. ro X 4 X ro 4 CM O CO X X 4 4 ro to ro ro ro to ro CM CM O X CO p» X X ro PJ «rJ to r^ to o X to X X CM to X OO 4 p. 4 o P^ 4 o p- 4 to X CM X X to o p*. 4 X X H CO X CM X X ro O

T-l CM fu to ro 4 X X X p- p. GO X X o CM ro to 4 X X X P.. p- to X o o J CM CM to 4 4 X X X r^ X X

T-l J T-( tJ CM CM CM CM CM CM CM OJ CM CM CM CM CM CM Q _J X ro X P. X CM 4 4 X <o to p.. ro o X p- to X p- ro X CM 00 ro CM CO CM 4 X P. tJ CM P- o X J X P^ X 4 X X

CD o o X o X o J ro X OO 4 X X X X GO ro (M X X X X X CM 4 to to 4 X CM X 4 4 X p* tJ K ro P. P- ro

N. X ro X to X ro GO X CM X X p- p. X CM o X to 4 X CM CM 4 GO CM X to X X CO X o p. CO CM X X X X CD 4 00 ro X

O GO p> CO o ro X X tJ X X p«. CM o O X <o r»- r^ to O 4 CO ro X X ro o CO p. P- X X X X p- P~ ri. X X

1 p- o X O ro X O X p~ ro O p. X ro H X p- X ro OJ c-t o X X CO CO eo CO 00 f*. K p- p- p. p- p. p- Pw r^

0:1 X X r^ p- X X X 4 4 ro ro ro CM OJ OJ CM tJ J

on 1- X in ro CJ OO p. X CO to rw 4 OJ o r^ X O CM CM o r^ u* X CM CO X CM to o X X X 4 4 p- X 4 to 4 X X p^ p^

•a D V X «:> CJ 4 CM CO GO to ro X X X o X p. to tH 4 X o 4 CM X ro o X X X ro o 4 ro X X 4 GO o X X pw 4

CD V O' p- X X P- 4 X p- ro CM rJ CO O X 4 4 CM o X X to to 4 X X CM o 4 CD X o to r^ to o CO X X o J 4 p.

Ol <x X ro 4 CM X X p- to OJ ro X o p- 4 ro to 4 X CO X CD in O X ro o p- 4 OJ X CO X 4 to OJ O X GO OO p» X X in

CD O CQ X X ro OO 4 CD P- 4 OJ o OO X X to OJ o X 00 X X X X 4 4 4 to to ro CM CJ CM OJ OJ OJ CM 4 4 4 ro to ro CM OJ PJ OJ

•a PM fO CD O tH X o 4 X CD Ow ro PJ X GO ro o X CM CM CM p- to a X P~ X O CD rw 4 P«. o 4 O O X 4 O' <o rt. p- r»- or X o X X X ro X X J X X X o tJ CM X ro CM 4 4 o X o o X p- X X to ro PJ to X X X 4 .-4 X X X OO X

<I 4 X ro X CM ro X P^ CD ro 4 CM X ro X CM CM X CD O 4 X X ro ro ro 4 X X CM X to 4 Pw O to X pw X ro m X <o 4 4 X X X X CD CM X P- ro CD p.. X ro O X X p- X X X X X X X X P» r^ p»- 00 X X X XXX o CD o

to

t-i X ro O' GO p. X X X 4 4 ro ro ro CM CM OJ CM CM y^ tJ •H ^ y^ yH yA tJ T^ PJ CM

CM OJ OJ CM H tJ J tH tH y^ yi y^ yi yA yA yA y4 yA

UJo -i -I X p. CM CD tJ p. X X X X X t^ 4 r^^ X CM 4 4 CM r^ CD O p- CM CD ro CM 4 CD CO X O ro X GO O PJ CM PJ H X

h-t O o OJ X P. X ro CD X X X O fO X fO OJ X ro X 00 r^ OO X *H ro X X to X o X X to P- CM X O 00

on 3» r^ X CO O' o CM ro ro 4 X 0* CO X CD »-t ro 4 X p. X PJ 4 X OO CD to X N- X nj 4 p. X tH 4 X X H 4 X X

o N. ro ro to to 4 4 4 4 4 4 4 4 4 4 X X X X X X X X X X X X h~ p^ p- p^ p- to CD OO CO X XXX o o o o

3

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-J CD a o CD O CD o o o CD o o o CD CD CD CD CD CD CD CD O O CD CD O CD CD O O o CD O O CD o CD O CD

t-i O'

t- Z -i 00 X PJ X X X ro J 0T5 X OJ X X CM tH CD CM X 4 p*. X ro OO ro O o in 4 <T» yi X to ro OO X »-4 X X o 4

UJ N. CD 4 X r^ X o CM ro 4 X X X p. X X O CM 4 X X ro p- ro CD 00 t*. to CD X CD to h- p- ro eO 4 tH X X X

z

X

o

o 4 X •H X CM p^ OJ r^ OJ PJ r*. CM r^ CM P- ro 00 ro 00 ro 00 4 X X X CM OO X 00 4 eo X to CD X X X yA X

X X X X X 4 4 ro ro CM PJ o o X X X X p. 0^ X X X X 4 4 4 PO to PJ CM CM J y4 y4 o o a CD XXX X CO o

on

CM OJ CM OJ OJ OJ OJ (M CM CM CM CM PJ CM tJ y^ y4 yA yA ^ yA

Z h~ ^ 40000000C3 O^oooooooo fOOOOOOOOO

ooooooooo oooooaooo ooooooooo

C»0000»0C3 oooooooo ooooooooOOOOOOOOO

o oooooooo

o

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^ fVJ ^ OOOOOOOOOOOOOO

CM^0^L^^vDN-c00>O-H^J^0

Mcsjrjcjoj^vJCMCVjrorofOfo rofo OOOOOOOOOOOOOOO

v0N.<0^*^T-lCNJ^0^l^^N-C0a^O

150
Table 15. Conti nued

.

il''

2 o C\J ir\ ro 4- CO m CJ CJ ir» o N- r>- tH c- OO X) in OO CJ c- J- CJ fO in O' CD CJ •t c- ro O' X) j- CJ tH O O' O'

UJ IT\ rg ITi O' fO N. eg N. CJ h. fO <o 4- J- CJ O' N. LC fO O' OO x> in j- ro CJ CJ T-t t-4 O O CD O O O O' O'

tr> j- fO CJ M O o O' O' <o CO c- ts. K X) X) \0 IC IT IC in in J- J- J- jf j- J- J- J- 4- 4- 4- 4 ro ro

:c tH tH tH tH a CO J- -X) LT> 4- tn tH 00 H J- K X) -S' X) tH O' o KO in CJ fO X) CJ CD "r-4 in CJ J- t-4 in fO N- fO O' X) CJ O 00 O V OJ f\J vO J- X) O' ro ro CO CJ J- CJ ITi eo x> H O' X) fO CD X) x> o fO in 00 O' O' O' O' O' OO eo N- N. X) o CD O' <t> 1^ N. f'. N. ® CO O' O' o O o O' O' fO m J- ITi X) s. N. OO 00 O' O' O' O' O' O' O' O' O' O' O' O' O' O' O' O' O' T N. iX) «XI X) X) X) X) x> x> X3 X) N. K. N. X) X) N. N. N. N- N. N- N- c- N. N. N. N. N. N. c. N. N. s. N- N. c- r'- V.

"5

r> 4- in IS. 4 CJ X X t-4 ro o CJ CJ 4 ro ro CD t-H X ro 4 r^ O t-4 CD r>^ o CD <x> CJ ro t-4 X CO OO X O CJ CJ o X o ro O V X) (NJ o XI r^ ^-4 rw X rs O' CJ X (J% o c- o ro O CJ OO r'- X X X 4 to T-J o CO X ro o rs. ro X X t-4 r*— CJ r^ CJ X T^ X

o X> ir> ro tH o O X X O' O' o o o t-4 CD CD CD 4 4 4 X X N. OO X CD t-4 CJ CJ ro 4 X X X X r^ CO CO X X CD o tJ -r^ z:V

4 4 4 4 4 ro ro ro ro 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 X X X m X X X X X X X X X X X X X X X

(/) }>C OO 4 in CO X ro X 4 rs. ro X CO CO ro X CD X ro t-4 4 t-4 oO r^ CJ X CO CD X ro X ro rs. H X t-4 CJ X ro rs X t-4 X X

V o o X O' vO r^ X O' t-4 O N- X rs. t-4 X X t-4 T^ t-4 CJ X CJ CJ X ro 4 O X ro t“4 4 t-4 4 T^ 4 CJ X X CD CJ CD 4 X

O' f\J ro 4 OO GO ro X 4 CJ CO ro X X X X 4 CJ X X CJ rs. CJ X O CJ X rs. 00 X X X CO rs ic ro t4 CO UN H ts z r^ CJ CD N- ro X o 4 X ro c- tH 4 <X) t-4 4 r^ o ro X CO t-4 4 X X tH X OO a CJ 4 X CO CD CJ 4 X X X T^ X J- O' o CJ CJ ro 4 4 4 X X X X X r- C. r^ OO OO CO oO X X X X o o o o t-4 t-4 t4 t-4 tH CJ CJ nj CJ CJ CJ X X X

“J t-4 t^4 tJ t-4 tJ t-4 tH T^ t-4 t4 tH t-4 T«J t-4 ^ t-4 t-4 tH tJ CJ CJ CJ CJ CJ CJ CJ CJ CJ CJ CJ CJ CJ CJ CJ CJ CJ CJ X -J CO CO CO CD X OO X CU X CJ r.. ro ro t-4 rw CJ X X 4 r'. ro CJ t-4 ro ro ro X CJ X X 4 rs. oj X oD rs CJ ro o jT X 4

2: CO CD O' ro r^ ro CJ ro O' CO ro 4 O' 4 •H c- O X J* X CJ CJ X CJ t-4 X fO X X X ro CJ t-4 t-4 O X CO rs X X o t'- 4

t'- O 1^ X CJ o 80 X 4 ro fo ro ro 4 4 fO t-4 4 OO CJ ® 4 O X) X 4 ro CJ t-4 tH ^4 t4 t-4 T^ O O CD O CD o X X

CJ X) ro O' X ro o X ro o c- 4 tJ CO X CJ X X ro o OO X ro t-4 CO X 4 CJ ea CO X 4 CJ O CO X 4 CJ O X X 4 t-4 O'

CJ fVJ ro ro 4 X X X r^ 00 00 0> O o t-4 (NJ (NJ ro 4 X X X rs. 00 <o X o t-4 CJ (NJ ro 4 X X X rs CO X o o t-4 CJ X X

t-4 t-4 t-4 t-4 t-4 t-4 t-4 t-4 tH t-4 tJ t-4 T^ tJ (\j CJ CJ CJ CJ (NJ CJ CJ CJ CJ CJ CJ ro X X ro X X

UJ CNj t-4 ro X o 4 X CNJ X (NJ X rs CD 4 t-4 O t-4 X X X X 00 t-4 fNJ rs O X X X rs CO CO 4 rs ro X t4 (NJ X 4 CD CD ro CO

3: X ro X GO X X X (T' UN 4- 4 GO X X (NJ X t-4 OO ro CD CD 4 to UN o X X t-4 4 OO (VI X o fO X CO O t-4 tH CJ (VI ro ro ro

GO CD X X X X CD ro rs t-4 X X 4 X 4 rs t4 00 X (VJ X rs X 4 CJ t-4 t4 o X X CO ® rs X X X 4 ro CJ t4 o X GO

-> X rs ro X X CJ X X tH QO 4 o rs ro o X ro X X CJ X X CJ X X ro O rs 4 o ts 4 t-4 CO X (VI X X ro o ts 4 o rs T^ t-4 CJ ro ro 4 X X X N. N. CO X X CD o tH (NJ CJ to 4 4 X X ts ts 80 X X o t-4 t4 CJ ro to 4 X X X ts CO CO

t-4 t-4 t-4 t-4 t-4 tH t-4 tH t-4 t-4 t-4 t4 t4 t4 (VJ (VJ (VI CJ (VJ CJ CJ (VJ (VJ CJ CJ (VJ CJ o -I 4 CO rs CJ X X o CJ t-4 4 CD X X X CJ 4 t-4 X X t-4 CD CJ X ro X 00 fs O to X X (NJ X 4 CO ro eo CO 4 fs X X (VJ X

Q o o rs CO Is T^ X X CD Is X T^ T^ CJ 4 UN rs GO IS X 00 O ro X CD 4 tH CJ O X 4 rs O X CO to fs 4 CJ 80 80 4 fs X

S. z: X t4 GO X CJ X X rs <X> t-4 X 4 M X CJ CO X t4 4 ro ts ro tH o X X t-4 (VJ o ro CJ 4 CD o CJ ts 4 CJ CJ 4 X X to a 4 4 ro t-4 X X fs X t-4 CJ X X rs tH X CO o 4 X X 4 4 X N. CD ro CO 4 o rs 4 (VJ o X <o rs X X X X X X X rs

1 X ro (NJ ro X CD <NJ |s ro X X CJ X rs 4 CVI t4 X rs X X 4 to CJ CJ •H O CD O X X X X <o CO CO OO CO CO 00 CO CO X CO O'

<x X X GO |S X X X 4 4 ro ro ro CJ CJ CJ CJ CJ t4 t4 t4 t-4 t-4 tH t-4 t-4 t-4 Ti4 t-4 t4

rs CD t-4 X 4 X 4 CO X X t-4 fs Q fs 4 X X X ro CD CD CD X O X ro X t-4 X X a X X T^ N- t4 00 X CD 4 X X X X

<x o N. 4 X X X X CJ GO X X GO X OO CO 4 ro o X ts 00 O X CD X t-4 ® X rs (VJ X X X ro fs X X X OO (VJ X 00 CO X X 00

CD V a: o CD 4 ro tJ r^ t-4 CO ro tH O X eO 4 (VI t-4 X X tH 4 CJ rs X t4 X eg eo <o CD X (VJ (VJ ro X t4 rs 4 ro CJ CJ ro X ts CD

CL <x rs O o CO CJ CD ro 00 Is OO t-4 lA t4 X 00 OO CO CD to X CD 4 X X CD N. ro O CO X ro t-4 X r- X 4 ro CJ t4 CD X GO ts

CD o m

O X 4 X 4 tH CO X CJ o CD X 4* CJ t4 o X X ro rs X X X X 4 4 4 ro ro ro ro (VJ (NI CJ CJ (VI (VI CJ (VJ t4 t-4 t-4 t-4 X 4 4 X X X (Ni CJ CJ CJ t-4 T^ t-4 t-4 t-4

<t X ro X ts 00 ro X X O t-4 O rw h-. X X X fs X rw X fs t-4 fs X CO 4 X fs X X CJ CJ o N. X X X ro ^ X X X

a: ro X X X O X X X X o GO t-4 X X X o (VJ (VJ UN OO <o CJ GO 4 X 4 X 00 O o fs GO 4 (VJ (VJ CJ X 4 X X 4 t-4 X ro X X rs t4 fs CJ (VI o 4 o X O t-4 X CJ t-4 ro X CO o X X (VI 4 ts (VI X X 4 ro (VJ CNJ X 4 X X rw 00 X O tH (VI CNJ ro 00 CJ X X (O o X 4 4 X X t-4 X tH X X C3 N. 4 (VJ tH X eo N- X X X 4 4 4 4 4 4 4 4 4 4 4 4 4 X X X X X

o

CO

1-1 o CO X ro CJ O X X N. X X X X 4 4 4 ro ro X ro CNJ (VI (VJ CJ CJ (VJ CJ (VI (VJ (VJ CJ CJ (VJ (VI (VJ CJ (VI (VJ (VJ (VJ (VI (VI CJ CJ

ro CJ CJ (VJ CJ (VJ t-4 t-4 t-4 t-4 t-4 t-4 t-4 t-4 t4 t4 T-l t4 t-4 H t4 t-4 t-4 t-4 t4 t4 t4 t-4 t-4 tH t4 t«4 t-4 4 t-4 t-4 t-4 t4 t-4 •H »-l t-4 T^ tH

UJo -1 _i X CO OO t-4 N* r^ O X X O 00 CD K 00 4 X (VJ X X OO OO X CO OO X X (VJ 4 t-4 CJ X 4 4 X O 4 X X CD X --I X GO t-4 1-4 o o CO t-4 X X ro t-4 o GO ts ts X fs N. X o CJ X X (VJ X t-4 IS X o OO X X 4 4 4 4 X X n. X CD tH ro X X X X CD CJ O' > 2 ts CO CO X CD tJ (VJ CJ X 4 X X rs OO o tH CJ X X X OO X rJ ro 4 X X o CJ 4 X CO O (VJ 4 rs ON t4 X X fs X CJ 4

o 's ro ro ro to 4 4 4 4 4 4 4 4 4 4 X X X X X X X X X X X X X fs fs IS r^ N- X X X <o X X X X X X CD o

TO

_lLl o o o CD o o o o tD o CD O o O o CD CD CD CD CD CD CD O O CD O CD CD O CD CD CD o O CD o O O o CD CD CD tH t-4

IH

tx: h- 2 -J X X (VJ ts CD (VI CJ CJ (VJ (VJ (VJ 4 X X 4 CD X t*4 X 4 fs ^ t4 4 4 4 X fs t-4 X X ro 4 XXX tH hw X 4 4 X X X

iLl *s t-4 X (VI 4 rs X t-4 ro X fs X ^ ro X CO tJ ro Cw CD 4 CO X X X (VI o X X tJ X fs X O X N. GO -H 4 X X CJ CD X X

2 O -J 4 t-4 rs CJ CJ OO ro 00 ro CO J- X J- X X o X t-4 X t-4 hr (NJ X 4 CD X t-4 CO 4 CD fs 4 O N- 4 (VJ X X 4 (VI CD X

UJ O

o 3: X X X X 4 4 ro ro (VI (VJ t-4 tH o CD X X X 00 OO IS r^ X X X X X 4 4 X X X (VJ (VJ CJ H t4 t-4 O o CD O O 9 9

o

a:

(VJ (VI CJ CJ CNJ CJ (VI (VJ CJ CJ CJ (VI (NJ CJ tH t-4 t-4 t4 T^ t4 tH tH t-4 tH t-4 t*4 t-4 tH t-4 t-4 t-4 t-4 t-4 t-4 t-4 t-4 tH tH t-4 t-4 T-i t-4 H

r- X O O O O o CD o o o CD CD O CD O O O CD o O CD CD CD O CD O CD CD CD CD CD O O O CD O O CD o O O CD CD CD

ro CD o o CD o CD o CD o O O o CD o CD CD CD CD o o O O o O o CD O O O O O O o o o o o O o o O O O

CJ CD o CD O o O o CD o O CD o CD o O O CD O o CD CD O o CD CD O CD O o CD o o O O o O CD CD o o O CD o

X CD o O CD o o CD CD CD O CD o O CD o CD CD CD o O O O o CD o o CD CD o CD o o o o o CD o o o o CD CD CD

IS CO X O t-4 (VJ ro 4 UN X r^ CO O' O t-4 (NJ ro 4 X X fs X X o t-4 (VJ ro 4 X X r^ GO X O tH CJ X 4 X X r^ CO CT CD

t-4 t4 t4 t-4 t“4 tJ t-4 t-4 t4 t-4 CJ (VJ CJ CJ CJ CJ CJ (NJ (VJ CJ ro ro X ro X ro ro X ro ro 4 4 4 4 4 4 4 4 4 4 X
Table 16 List of Coefficients for the BWR Equation

G( 1)

G( 2)

G( 3)

G( 4)

G( 5 )

.1751151116E-31

-.533d642406E*C0

. 3924633C78E+01

-.5141353757E+03

3243348520EM)5

G( 6)

G( 7)

G( 8)

-.5912131&13E-03

.9C96990477E+0a

-.4785568295E+03

G( 9»

G(10)

G(ll)

-.4180501C52E«-07

-.9695778991E-05

.53612fl0088E-01

G( 12)

G(13)

G(14)

-.1443265236E4-02

3322161796E-Q2

.2764741771E+00

G(15)

G( 16)

G(17)

, 8324982578Ef01

-.1307102346E-01

. 1851Q77599E-0 3 G(18)

G(19)

G(2Q)

G(21)

G(22)

G (23)

G(24)

G(25)

G(26)

G(27)

G(28)

G(29)

G(30)

.2920941516E+00

-.6918309272E-02

•4308730236E+C7

-.lG96864C87E*-08

.2380327276E + i55

. 3137563559Ef07

.6066206849E+02

.4205136659Ef02

.lC76337320E+0a

-.3297262333E+02

.8485003350E-Q4

•1224321948E-02

.1269404637E-06

G(31) = -.8824l8384uE-06

G(32) = .33092C7594E-04

[

1 ,

i

'>1

152
Table 17 Comparison of Results From the Two Equations of State

PRESS TcMP

DENS ITY

DIFFERE

M

NCE IN

S C\t CP

BAR K PCT J/MOL J/MOL -K PCT PCT

1 . 0 7 u . C .011 -.6 .111 -5.26 -2.03

1. C 120.0 .013 6.6 . 125 3.69 .06

1 • u 170 .0 -.150 -15.7 -.060 1. 05 1.17

1 » U 22 0 . u -.201 *3*0 .008 .30 .26

1 . a 240 . C -.186 -1.2 .015 .20 .13

1. j Z 80 . 0 -.139 * • V .019 . C7 .02

1 . 320.0 -.102 -.3 • 0 X 8 .02 -.02

1. 3 350 . G -.087 -.7 .016 -.00 -.04

1C . 3 7 u . 0 .006 - . 5 .113 - 4 » C 4 -2.0 4

1 W • J 12 0.0 . 317. 6. 5 .124 3.39 .06

10. J 170.0 .057 -49.1 -.241 -1.62 -1.77

1 u • 3 220 .

0

-.127 -17.8 - . 1 u 9 2.45 2.39

10.0 240.0 -.220 .9 -.028 1.51 1.37

1 J • 3 280 .

0

-.223 17.2 . u 3 6 . 52 . 36

1 t j 3 2 u t C -.204 2(J . 4 .045 .11 .00

10.0 350.0 -.177 1 9 • u . 243 -. ' 5 -.12

4 0.0 70. 0 .002 -.1 .116 -.0 7 -2.10

4C . 0 120.0 .336 6.3 .122 2.47 . 36

^ w • J 1 7 u • L . 055 -48.2 -.235 -2.C 5 -1.79

4 0.0 22u .0 -.057 -37.4 -.205 4.49 1.98

4 0.0 240.0 -.597 10.2 . u u 7 3.79 .27

40.0 28 0.0 . 173 27.1 .072 1.25 .24

4C . 0 3 2 j . u . 3 33 25. 7 . 067 -.Cl -.28

40 . 0 35« .0 . 330 18.3 .048 -.43 - . 44

5 0.0 7 u . 0 • u J 3 .1 .121 1.19 -2.14

50.0 1 2 0 . 0 .040 6.2 .122 2.20 .05

50.0 170 .

0

.C54 - 48. . -.234 -2.16 -1.80

50 . 0 220 .0 -.358 * 3 8 • w -.20 6 4.03 2.3C

50.0 240.0 -.156 -15.5 — . 1 w 7 1.76 4.34

5 0.0 28 0.0 -.029 41. L .124 1.38 -.13

5 0.0 320.0 .33 0 31 .C . 090 -.14 -.53

5 0.0 35«.0 . 386 19. 3 .057 -.59 -.63

100. 0 7 u • u . 017 1.5 . 141 7.11 -2.41

10 0.0 120 . a .057 5.7 .119 1.G3 .04

100.0 17G .0 . 258 -47.4 -.228 -2.26 -1.85

1 0 C . 0 22G . 0 -.095 -42.1 -.227 3.44 3. 16

100.0 240.0 - . 0 6 9 34.4 .105 -2.18 -1.68

1C 0 . 0 28 0 .0 . 2 97 34.3 .085 1 .5 G 4.56

1 0 C . 0 320.0 -.509 76.1 .231 -.77 -.87

IOC. 0 3 5 0 . 0 -.206 48.. .151 -1.45 -1.38

2 0 0 . j 12j . 0 .064 5.3 .117 -.57 .04

20 0 . 0 1 7 0 . u • w d 6 -46.8 -.223 -1.40 -1.95

20 0.0 220 .0 -.031 -52.2 -.276 5.45 3.37

2CC . 0 240 . J -.179 35,2 .10 7 -1.11 -.11

20 0 . 0 28w . 0 -.011 21.1 . j54 -.37 -1.14

20 0 . 3 320.0 . 232 3.8 -.0 07 -1.35 .59

20 u . 0 350 . 0 -. 332 23.6 .05 7 -1.95 .59

30 0 .0 120.0 . 25. 5.t .117 -1.41 .09

3 0 0.0 170 . 0 .135 -45.6 -.215 .34 -2.01

3 Q w • 3 22t . 0 .137 -58.4 -.303 8.76 3.28

300 .0 24 0 . vJ .053 26.3 .068 2.02 -.05

3 0 C . 0 2 8 w . J -.05. 34,6 .1.1 2.16 -, 31

30 0 . j 320 . 0 . 144 6.3 .006 .23 -1.08

30 0 .0 350.0 .196 -17.1 • • G 6 u -.80 -.73

153
o

o

o

o

APPENDIX C: Computer Programs (Nonanalytic Equation)

PROGRAM NF3THRM { INPUT, OUTPUT)

C NITROGEN TRIFLUORIOE THERMOPHYSICAL PROPERTIES.

C NEW XEF, OENGASF, EDELF, FOR LOW DENSITIES.

COMMON GK,GKK, 81,82,03,84,85, C1,C2,C3, E1,E2,E3, ER,IX

COMMON/1/AL,8E,GA,OE,EP, D CRT , TCRT , PCRT , DGAT,OTRP,TTRP, PTRP

COMMON/2/ NFP, EPP, PJ(6)

C0MM0N/3/0PDT,D2P0T2, OPSOT ,OPMOT, DPOO, OPDR,OTSOR, OTHOR

C0MM0N/4/XBl,XB2, XC1,XC2, XE1,XE2, DXBD R,OXCDR, DXEOR

COMMCN/5/ ODSDT

COMMON/6/ TSAT, THETA, PSAT

COMMON/7/ NFG, GE, AV(6)

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

COMMON/9/ DNG, EG,HG,SG, CVG,CPG,WG, OPGDT,OPGDO

COMMON/10/ NFL, EL, AH(6)

COMMON/12/ DELS, OELCV

COMMON/13/ ZCRT,ZSAT,CZSDT, ZFX, FRT,OFRTOT

COMMON/19/ KO

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

DIMENSION PP(99)

1 F0RMAT(I5, 2F10.0)

2 F0RMAT(I5, 3F10.0)

3 FORMATOIIO)

5 FORMATCIX)

9 FORMAT (3F10. 0» 14 FORMATdHl 18X ’NITROGEN TRIFLUORIDE ISOBAR AT *F8.5, 4H BAR / ) 15 FORMATdHl 18X ’NITROGEN TRIFLUORIDE ISOBAR AT ’ 13, 4H BAR / I 16 F0RMAT(19X IHT 6X3HDEN 6X3HV0L 8X1HZ 5X5H0P/0T 5X5HDP/DD

2 8X1HE 8X1HH 8X1HS 6X2HCV 6X2HCP 5X1HW /

3 15X 5HDEG K 4X5HM0L/L 4X5HL/M0L 14X5H8AR/K 1X9HBAR-L/M0L

4 4X5HJ/M0L 4X5HJ/M0L 2X7HJ/M0L/K 1X7HJ/M0L/K

5 1X7HJ/M0L/K 1X5HM/SEC ) 17 FORMAT (lOXFlO. 3, F9.3, F9.5, F 9.5 , FI 0. 4, FIO . 3, 2F9. 1 ,F9 . 3 , 2F8 . 2 ,16)

18 FORMATdOXFlO.3, F9.5, F9.3, F9. 5 , FI 0. 6, FIO . 3, 2F9 . 1, F9 . 3 , 2F8 . 2 ,16)

20 CALL PVTDATA

CALL IDELFIT

21 CALL JTLOCUS

22 CALL TABLIQ

29 GO TO 90

C TEST SUBROUTINE THERMO.

30 P = 40 $ PRINT 14, P 31 CALL THERMOM $ V = 32 PRINT 17, T,DEN,V,Z,

33 CALL THERMOL $ V = 1/DEN

$ CALL QVAPFIT

$ PRINT 16

1/DEN $ IW = H S 1 - P/DEN/GKK/T

DPDT,DPDD, E,H,S, CV,CP,IW

IW = W

34 PRINT 18, T,DEN,V,Z, DPDT,DPDD, E,H,S,

35 CALL THERMOV $ \/ = 1/OEN $ IW = W 36 PRINT 18, T,DEN,V,Z, DPOT,DPDD, E,H,S, CV,CP,IW

40 P = 50 $ PRINT 14, P S PRINT 16

41 T = 230 $ CALL THERMO J V = 1/DEN

42 PRINT 18, T,DEN,V,Z, OPDT,DPDD, E,H,S, CV,CP,IW

43 T = 234 $ CALL THERMO S V = 1/DEN $ IW = W 46 Z = P/OEN/GKK/T

47 PRINT 18, T,DEN,V,Z, OPOT,DPDD, E,H,S, CV,CP,IW

48 T = 240 I CALL THERMO % M = 1/DEN

49 PRINT 18, T,D£N,V,Z, OPDT,DPOO, E,H,S,

$ Z = P/OEN/GKK/T

CV,CP, IW

$ I - P/OEN/GKK/T

t IW = W $ Z=P/OEN/GKK/T

$ IW = w CV,CP,IW

S Z=P/OEN/GKK/T

COMPUTE THERMOFUNCTIONS ON ISOBARS, START ON THE MELTING LINE.

ISOBARS AT P UNDER PCRT TRAVERSE THE DOME.

NOTE USE OF QVAP ,OATA, TO CROSS THE ,OOME,.

154
o

o

Appendix C

.

Continued,

C NOTE USE OF CSAT ,0ATA, FOR SPECIFIC HEATS IN COMPRESSED LIQUID.

90 IN = 1 $ NI = 48 $ READ 9, ( PP ( I) , 1= 1 , N I)

91 DO 300 I=IN,NI S IP = p = PP(I) S IK = I $ LS = 0 92 IF(P-IP) 93,94

93 PRINT 14, P $ GO TO 95

94 PRINT 15, IP

95 PRINT 16

96 IFII.EQ.24) P = PORT

100 T = FINDTMF(P) $ CALL COMPRLQ $ V=l/OEN $ IH=W

101 Z = P/OEN/GKK/T

102 PRINT 17, T,DEN,V,Z, DPD T , DP DO, E, H, S ,CV , CP, I

W

103 IT = T/10 $ IF(P.LTiPCRT) 110,180

C

C CASES FOR P LESS THAN PORT.

110 TS = FINOTSF(P) $ K = L = 0 111 DO 150 J=l,99 $ T = JT = 10*(IT+J)

112 IF(T.LT.TS) 115,117

115 CALL COMPRLQ $ V=l/OEN $ IW=W $ Z = P/OEN/GKK/T

116 PRINT 17, T,OEN,V,Z, OPDT,OPOD, E,H,S, CV,CP,IW $ GO TO 150

117 LS = LS < 1 $ IF(LS.EQ.l) 120,130

C CASE FOR SATURATED LIQUID AND VAPOR.

120 T = TS B CALL CO fXIST

123 V=1/DEN $ VG=1/DNG $ IW=H $ IWG=WG

Z = P/DEN/GKK/T $ ZG = P/ONG/GKK/T

124 PRINT 17, T,OEN,V,Z, DPD T, OPOO , E , H, S , CV, CP, I W $ PRINT 5

125 IF(P.LT.30) 126,127

126 PRINT 18, T,ONG,VG,ZG,DPGOT,OPGOD,EG,HG,SG,CVG,CPG,IWG $ GOTO 128

127 PRINT 17, T,DNG,VG,ZG,DPGOT,DPGDO,EG,HG,SG,CVG,CPG,IHG

128 T = JT

C CASES FOR THE HOMOGENEOUS DOMAIN.

130 IF(JT.GT.500) 131,132

131 K = K+1 $ T = JT = JT 10*K $ I F ( JT . GT. 50 0 ) 300,132

C 132 CALL GENEOUS f V=1/DEN B IW=W $ Z = P/OEN/GKK/T

132 CALL GENIUS B V=l/OEN B IW=W $ Z = P/DEN/GKK/T

133 IF(P.LT.30) 134,135

134 PRINT 18, T,DEN,V,Z, DP OT, DPDD , E, H, S ,C V, CP, IH S GO TO 150

135 PRINT 17, T,DEN,V,Z, DP OT , OP DO, E , H, S , CV, CP, I

W

150 CONTINUE

FOR P.GE.PCRT, CASES T.LE.TCRT, AND T.GT.TCRT.

180 K=L=0 B DO 250 J=1 , 99 B T = JT = 10*(IT+J)

181 IFd.LE. TCRT) 192,210

C CASE FOR T.LE.TCRT.

192 CALL COMPFLQ B V=l/OEN $ IW=W S Z = P/DEN/GKK/T

193 PRINT 17, T,OEN,V,Z, DPOT , DPDD , E , H, S , C V, CP, I W B GO TO 250

C CASE FOR T ABOVE TCRT, HOMOGENEOUS DOMAIN.

210 IF{ JT.GT.500) 211,220

211 K = K+1 B T = JT = JT + 1C*K S IF { JT . GT . 5 0 0 ) 300,220

C 220 CALL GENEOUS B V=1/DEN B IW=W B Z = P/OEN/GKK/T

220 CALL GENIUS B V=1/DEN B IW=W $ Z = P/OEN/GKK/T

221 PRINT 17, T,OEN,V,Z, DPOT , OP OD ,E , H , S , C V, C P, I

W

250 CONTINUE

300 CONTINUE

999 STOP B END

155
Appendix C

.

Continued.

SUBROUTINE COEXIST

C GIVEN T AT COEXISTENCEt GET BOTH VAPOR AND LIQUID FUNCTIONS.

C FOR VAPOR, GET ONG, EG ,HG , SG , CVG,CPG,WG, OPGOT,DPGOD, -

C FOR LIQUID, GET DEN,E,H,S, CV,CP,CSAT, W. OPDT,DPDD.

C COEXIST CALLED BY COMPRLQ. P NOT USED, MUST NOT CHANGE.

COMMON/l/AL,BE,GA,DE, EP, DCRT,TCRT,PCRT, OGA T,OTRP , TTRP , PTRP

COMMON/3/OPDT,D2POT2 ,OPSOT,DPMDT,OPOO,OPDR,OTSDR,DTHOR

COMMON/5/ ODSDT

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

C0MM0N/9/0NG,EG,HG,SG, CVG,CPG,WG, DPGOT,DPGDD

COMMON/12/ DELS, OELCV

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

DATA (Q=l. 01325) ,CG=0. 083145)

1 FORMATdHO 9X *T EXCEEDS TCRT IN COEXIST. * / ) 2 IF(T.GT. TCRT) 3,4

3 PRINT 1 S STOP

4 PS = PSATF(T) $ ONG = 08 = OENGASF(T)

5 TI = T i CALL IDEAL $ N=ll S LO=l $ DArfl

6 EG = EZZ f EZ f EOELF{3,N,T,OA,OB,LD) S HG = EG f 100*PS/OB

7 SG = SZ DELS - 10fl*G* ALOG(G*T*OB/Q)

8 IF(T.EQ.TCRT) 9,11

9 PX = PVTF(T,D3,1) $ OPGOT = DPDT J OPGOD = OPDO

1C CPG = CVG = WG = 0 $ GO TO 14

11 CVG = CVZ 4- OELCV S PX = PVTFCT,DB,1)

12 CPG = CVG 4- 100*T/OPOD»(OPDT/DB)»*2 S WG = SORT ( WK*CPG*DPOD/CVG

)

13 OPGDT = DPDT S OPGOD = OPDO

C NOW TRAVERSE THE ,OOME, USING QVAP ,DATA,.

14 DEN = DL = DENLIQF(T) $ ODLDT = DOSDT $ QV = QVAPXF<T)

15 QVT = -QV/T $ H = HG-QV S S = SG4-QVT S E = H - 100*PS/DL

17 IF(T,EQ. TCRT) 18,19

18 PX = PVTF(T,DL,1) $ CP=CV= CSAT=W=0 S RETURN

19 CSAT = CSATXF(T) S PX = PVTF(T,OL,l)

C 20 IF(T.GT.200) 21,22

C 21 CV = CVSATF(T) $ GO TO 23

22 CV = CSAT 4- 100* T»OPOT*OOLOT/DL/OL

23 CP = CV 4- 100*T/OPOD* (DPDT/OL) **2

30 W = SQRT(WK*CP*OPOO/CV) $ RETURN $ END

FUNCTION CSATXF(T)

C NF3 SATLIQ ENTROPY AND CSAT, J/MOL/K, ROG/NBS, NOV. 13, 1979.

C SSAT = SCRT 4- A*U**ES 4- B*LN(X) 4- C*U f D*U**2 f E*U**3,

C WHERE X = T/TCRT, U = (1-X).

C CSAT = -ES*A*X/U** ll-ES) + B ~ C*X - 2*0*X*U - 3*E*X*U**2.

DIMENSION AS(7)

DATA (NFS=7) , (ES= 0.33) , (TCRT=2 34.0) , (SCRT=197. 031 82)

OATA(AS = -27.04141165, 168.4875348, 117.5913487,

1

-16.46287979, 241.1959696, -288.5828349, 230.9162107)

1 FO!?MAT(1HO 9X 3HT =F10.5, * IN CSATXF(T). / ) 2 IF(TCRT-T) 3,4,5

3 PRINT 1, 1 S STOP

4 CSATXF =0 $ RETURN

5 X = T/TCRT S U = 1.0 - X 5 UE = U**(ES-1)

6 CS = -AS(1)*ES*UE 4- AS(2)/X B DO 7 K = 3,NFS

7 CS = CS - (K-2) *AS(K) *U**(K-3)

9 CSATXF = X*CS B RETURN B END

156
oooo

oooo

ooo

Appendix C. Con t i nued .

SUBROUTINE COMPRLQ

GIVEN P,T FOR COMPRLIQ. AT T.LE.TC, GET OEN AND FUNCTIONS.

REVISED TO USE HSATF, SSATF, CSATXF, BUT NOT COEXIST. TIMESAVER.

INTEGRATE ALONG ISOTHERM T FROM SATLIQ UP TO POINT (P,T).

COMMON/l/AL. BEtGA,OE.EP» OCRT, TCRT, PCRT, OG A T, OTRP, T TRP, PT RP

COMMON/3 /DPDT,D2P0T2 , DPS DT , DPMOT ,0PDD , OPDR, DTSDR, OTHOR

COMMON/5/ OOSOT

COMMON/8/ IN, IK, P,T,0EN, E,H,S, CV,CP,CSAT, W,WK

COMMCN/12/ DELS, OELCV

1 FORMATCIHO 9X *COMPRLQ T.GT.TCRT. * / ) 2 IF(T.GT. TCRT) 3,4

3 PRINT 1 $ STOP

GET PSAT, DENLIQ, AND SATLIQ FUNCTIONS FOR START.

4 PS = PSATF(T) S DL = OENLIQF(T) $ DDLDT = ODSDT

6 HS = HSATF(T) B ES = HS - 100*PS/DL S SS = SSATF(T)

7 IF(T.GT.200) 8,9

8 CVS = CVSATF(T) $ GO TO ID

9 PX=PVTF( T,DL,fl) B CVS = CSATXF(T) 10 0*T*DPDT»ODLDT/OL/DL

INTEGRATE UP TO POINT <P,T).

10 OEN = DB = FINDENF(T,P» $ DX = OB - DL

11 N = 10 $ LD = 2 B E = ES « EOELF ( 1,N, T, DL, OB,LO)

12 H = E f lOQ^P/DB $ S = SS DELS $ CV = CVS f DELCV

13 PX = PVTF(T,OB,l) B I F ( T . EQ. TCRT ) 14,15

14 CP = CV = W = 0 B RETURN

15 CP = CV 100»T/OPDO* (0P0T/DB)**2 $ W = SORT ( HK*CP*OPOO/CV)

30 RETURN $ END

FUNCTION DENGASF(T)

DESIGNED FOR ZSAT = 1 AT LOW DENSITIES, 5/29/77.

USE ZSAT E PS/OS/GK/TS WITH VAPOR PRESSURES, AND ZCRT.

Z = 1 + (ZCRT-1)»PI*F(X)/X/X.

F(X) = 1 + A1*VE + A2*V A3*V**2

COMMON/l/AL ,BE,GA,DE,EP, 0 CRT , TCRT , PCRT , DGA T,DTRP, TTRP, PTRP

COMMON/3/OPOT,D2PDT2 ,DPSDT ,DPMDT ,OPDD, DPOR, OTSOR, DTHDR

COMMON/5/ DDSDT

COMMON/7/ NFG, GE, AV(6)

COMMON/13/ ZCRT, ZSAT ,DZSDT, ZFX, FRT,OFRTDT

DATA (GKK = 0.083145)

1 FORMATdHO 9X *T EXCEEDS TC IN OENGASF. / ) 2 IF(TCRT-T) 3,4,6

3 PRINT 1 B STOP

4 DENGASF = DCRT B ODSDT = 1.0E4-100 B DZSDT = -l.OEflOO

5 ZSAT = ZCRT B ZFX =1 B RETURN

6 IF(T.LE. 0) 7,9

7 OENGASF = DDSDT =0 B ZSAT = 1 B DZSDT = 0 8 ZFX = 1 + AVd) + AV(2) + AVI3) B RETURN

9 ZN = ZCRT - 1 B PC = PCRT B TC = TCRT

10 X = T/TC B X2 = X*X B V = 1.0 - X 11 P = PSATF(T) B PI = P/PC B PIT = OPSOT/PC

12 VE = V**GE B VEl = -GE*VE/V

13 ZFX = F = 1 < AV(1)»VE * AV(2)»V f AV(3)*V*V

14 FI = AV(1)*VE1 - AV(2) - 2»AV(3)»V

15 ZSAT = Z = 1 + ZN*PI*F/X2

16 DZSDT = DZOT = (PI» ( F1-2*F/X ) /TC « F*PIT) *ZN/X2

17 OOSOT = (DPSDT - P/T - P*DZOT/Z) /T/Z/GKK

18 OENGASF = P/T/Z/GKK B RETURN B END

157
OOO

OOOOOOO

Appendix C. Continued.

FUNCTION EOELFCLf M,T,DA,0B»L0)

GET CHANGE OF E, S, CV WITH DENSITY ALONG ISOTHERMS.

GET EDELF, DELS, DELCV FROM DA TO 00 ON ISOTHERM T.

ROMBERG NUMERICAL INTEGRATION VIA - CARNAHAN/LUTHER/WILKES, APPLIED NUMERICAL METHODS, P. 90,

JOHN WILEY AND SONS, INC,, N.Y., 1969.

SPECIAL REVISION FOR VERY LOW DENSITIES.

NOTE NK GIVES FINAL, TOTAL SUBDIVISIONS OF INTERVAL DX.

C0MM0N/1/AL,BE,GA,0E, EP, DCRT,TCRT,PCRT, DGA T, DTRP, TTRP, PTRP

C0MM0N/3/DP0T,D2PDT2,DPS0T, OPMDT, DPOD, DPDR, 0 TSDR, DTHDR

COMMON/12/ DELS, DELCV

COMMON/13/ ZCRT,ZSAT,OZSDT,ZFX, FRT,0FRT0T

DIMENSION E(20), S(20), C(20)

DATA (01 = 0.0001), (G = 0.083145)

1 FORMAT (1H09X*EDELF L =*I2,5H, N =13, 5H, T = F8,3,6H, DA =E10.4,

1 6H, 08 =E10.4, 6H, LO =12//

2 lOX IHN 7X5HEDELF 8X4H0ELS 7X5HDELCV ) 2 FORMATdHO 9X 6HE0IF =F10.3, 8H, SOIF =F10.5, 9H, CVOIF =F10.3)

3 FORMAT(6X 15, F12.3, F12.5, F12.3)

FOR OA=0 AND OB.LE.OI, IDEAL GAS, EDELF=DELS=OELCV= 0

.

FOR OA=0

TO AVOID

AND DB.GT.DI,

INFINITIES IN

START ROMBERG WITH DA = 01,

ORDINATE FUNCTIONS AT DA

I ZK = 1.0-1/ZCRT S RK

= 0 . 9 NMAX = M $ NK = = 100*G*TCRT/OCRT

10 IF(L.EQ. 0) 11,14

11 IF(DB.LE.DI) 12,13

12 EDELF = DELS = DELCV =0 S RETURN

13 DA = 01

GET FIRST TRAPEZOID AREA, Ed) ETC., FROM DA TO OB.

14 DX = DB - DA $ P = PVTF(T,DA,0) $ IF ( DA. LT. DCRT) 16,17

16 - T*DFRTDT) $ GO TO 18

17

18

19

20

21

22

23

24

25

26

27

28

29

30

31

33

34

35

36

37

38

39

40

41

45

46

EA = RK* (ZK*ZSAT*ZFX * FRT

£A = 100 *(P-T*OPOT) /DA/DA

IF(L.EQ.O) 19,20

SA = 100*(G-DPOT/DA) /DA

SA = -10 0*OPOT/OA/DA

CA = -100*T*D2POT2/DA/DA

P = PVTF(T,OB,0) S IF(DB.LT.OCRT)

$ GO TO 21

23,24

E8 = RK*(ZK*2SAT*ZFX f FRT - T*DFRTOT) $ GO TO 25

EB = 100* (P-T*OPOT)/OB/DB

IF(L.EQ.O) 26,27

SB = 100 *(G-OPDT/DB) /DB $ GO TO 28

SB = -1OO*DPDT/O0/OB

CB = -100*T*D2POT2/OB/OB

E(l) = (EA+EB)*0X/2 $ S C 1) =( S A SB) *DX/2 S Cd) = (CA+CB) *0X/2

INTERVAL HALVING, GET E(N*1), ETC.

NK = 1 $ DO 60 N=1,M S NP=K=N+1

JM = 2**N - 1 $ OXN = 0X/2**N S E(K) = DO 45 J=1,JM,2 $ NK = NK*1 $ DN = DA f P = PVTF(T,ON,0) $ IF{ON,LT, DCRT) 35,36

S(K) = J*OXN

C(K) = 0

EB = RK*(ZK*ZSAT*ZFX * FRT - T*OFRTOT) S GO TO 37

EB = 1CO*(P-T*OPOT)/ON/ON

IF(L.EQ.O) 38,39

SB = 100*(G-DPOT/DN) /ON $ GO TO 40

SB = -100*OPOT/DN/ON

CB = -100*T*O2PDT2/ON/ON

E(K) = E(K) + EB $ S(K) = S(K) SB S C(K) = C(K) + CB

CONTINUE $ E(K) = £(N)/2 •• E(K)*DXN

S(K) = S(N)/2 S(K)*DXN $ C(K) = C(N)/2 C(K)*OXN

158
Appendix C

.

Cont i nued

.

C TEST FOR CONVERGENCE.

50 E0 = A3S (£ (K)-E(N) ) $ SD=A BS (S (K) -S CN) ) S CO = ABS (C (K) -C( N) ) 53 IFCEO.LT. 0.5/LDl 54,60

54 IF(SO.LT.0.002/L3) 55,60

55 IF(T.EQ. TCRT.AN0.D8.GE.DCRT) GO TO 57

56 IF(CD.LT.O.C5/LO) 57,63

57 EOELF = E(K» $ DELS = S(K) $ OELCV = C(K) $ RETURN

60 CONTINUE $ N = M $ NM = N-1 S NP = N+1

61 PRINT 1, L, N, T, OA, 08, LD

62 PRINT 3, NM,E(NM) ,S(NM) ,C(NM) $ PRINT 3, N , E ( N) , S ( N) , C (N)

64 PRINT 3, NP,E(NP) ,S(NF) ,C(NP) $ PRINT 2, EO, SO, CO

99 STOP $ END

FUNCTION FINOENF(T,P)

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

COMMON/l/AL,BE,GA,DE, EP, OCRT,TCRT,PCRT, DGAT ,OTRP, TTRP, PTRP

COMMON/3/OPDT,D2PDT2, DPSOT,OPMDT,OPOD,OPOR,DTSOR, DTHDR

OATA (DM=27.0> ,(GKK=0. 0831451

41 FORMATdHO 9X *FINOENF = 0, FAILS TO CONVERGE. * / ) 42 FORMATdHO 9X '*FINOENF = DCRT, DP/DR ZERO OR NEG. * / ) 43 FORMATdHO 9X *FINDENF = 0, DOUBLE-VALUED AT P = PSAT. * / ) IFCT.GT. O.ANO.P.GT.O) 1,35 ^

1 IF(T-TCRT) 2,5,8

2 DG=DENGASF(T» $ OL=OENL IQF (T ) S PS=PSATF(T) S IF(P-PS) 3,32,4 30= DG/2 $ GO TO 11

4 0 = (0L«-DTRP)/2 $ GO TO It

5 OG=OL=OCRT $ PS=PCRT $ IFCP-PS) 6,33,7 60= DCRT/2 $ GO TO 11

7 0= 2*0CRT $ GO TO 11

8 IF(T.LT.300) 9,10

9 PC = PVTF(T,DCRT,0 ) S IF (P-PCJ 6,33,7

10 0 = OCRT

11 DO 30 J=l,50 $ DP = P-PVTF (T ,0,1) $ IF (ABS CDP/P) -1 . OE-7) 31,31,12

12 IF(OPDO. GT.O) 13,34

13 00 = DP/DPDO $ IF(ABS(OD/D)-1.0E-7) 31,31,14

14 0 = D + 00 $ IF(D.GT.O.O) 16,15

15 D = P/GKK/T $ GO TO 30

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

17 0 = DM $ GO TO 30

18 IF(T-TCRT) 19,24,30

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

20 IF(O.GT.OG) 21,30

21 D = DG $ GO TO 30

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

23 0 = OL B GO TO 30

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

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

26 0 = OCRT - 0.02 $ GO TO 30

27 IF (O.GT. OCRT) 30,28

28 D = DCRT 4 0.02

30 CONTINUE $ PRINT 41 S STOP

31 FINOENF =0 $ RETURN

32 PRINT 43 B STOP

33 FINOENF = OCRT B RETURN

34 FINOENF = DCRT B PRINT 42 $ RETURN

35 FINOENF=OP0T=O2POT2=0 B OPOO=GKK*T B OPOR=OP 00*DTRP

36 RETURN B END

159
o

o

Appendix C

.

Continued.

FUNCTION DENLIQF(T)

DEN = DCRT * YNL*(X * CXE-X)*YI, YNL = OTRP - OCRT.

Y = A1 + A2*EXP(2*(1-1/Un U = T/TC.

C0MM0N/1/AL,8E,6A,DE,EP, OCRT,TCRTf PCRT, OGAT.OTRP.TTRP, PTRP

COMMON/5/ ODSOT

COMMON/10/ NFL, EL, AH(6)

1 FORMATdHC 9X *DENLIQF = 0, T EXCEEDS TCRT, * / ) 2 IF(TCRT-T) 3,4,5

3 PRINT 1 S STOP

4 OENLIQF = OCRT $ DOSDT = -I.OE^IOO $ RETURN

5 XN=TCRT-TTRP S X= ( TCRT-TI /XN $ X2 = X*X S OXOT = -1.0/XN

6 XE = X**EL $ V=XE-X I VI = EL*XE/X - 1

7 U = T/TCRT $ ARC = 2.0*(1-1/U)

8 XP = EXP(ARG) $ XPIT = 2*XP/ U/U/TCRT

9 Y = AWU) f AW(2)*XP B YlT = AW(2)»XP1T

10 VIT = Vl*DXOT S YNL = DTRP - OCRT

11 OENLIQF = DCRT f YNL* (X V*Y)

12 ODSOT = YNL*(OXDT + V*Y1T V1T*Y) S RETURN $ ENO

FUNCTION FINDTMF(P)

C GIVEN P ON THE MELTING LINE, FIND T FOR METHANE.

COMMON/l/AL,B£,GA,OE,EP, OCRT, TCRT, PCRT, OGA T, OTRP,TTRP, PTRP

OATA (QP=1.01325), (E=1.85) ,(A=1884.43>

1

AQ = A*QP $ X = (P-PTRP)/AQ +18 FINOTMF = TTRP*X** (1, 0/E)

9 RETURN $ ENO

FUNCTION FINOTSFJP)

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

COMMON/l/AL,BE,GA,OE, EP, OCRT, TCRT, PCRT, OGA T, OTRP , TTRP , PTRP

C0MM0N/3/DP0T,D2P0T2, DPSOT,DP )OT, DPOO, DPDR, OTSOR, DTHOR

1 FORMAT (IHO 9X *FINDTSF = 0, FAILS TO CONVERGE. / ) 2 FORMATUHO 9X *FINDTSF =0, P EXCEEOS PCRT. / ) 3 IFCP-PCRT) 4,11,12

4 T = 200 B DO 9 J=l,5u $ DP = P - PSATF(T) $ AOP = ABS (OP)

5 IF(AOP/P-1.0£-6) 10,6,6

6 IF(ADP/OPSOT/T-1.0E-6) 10,7,7

7 T = T + OP/OPSOT B IF(T-TCRT) 9,9,8

8 T = TCRT

9 CONTINUE S PRINT 1 5 STOP

10 FINOTSF = T B RETURN

11 FINOTSF = TCRT B RETURN

12 PRINT 2 B STOP B ENO

160
oo

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Appendix C

.

Continued.

SUBROUTINE GENEOUS

C GIVEN P.T FOR THE HOMOGENEOUS DOMAIN - C GET DEN AND FUNCTIONS AT ANY TEMPERATURE.

C0MM0N/3/0P0T,D2PDT2, OPSOT,OPMOT,OPOD,DPOR,DTSOR,OTHOR

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

COMMON/12/ DELS, OELCV

COMMON/19/ KD

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

DATA (0=1.01325) , CG=C. 0831451

3 TI = T S CALL IDEAL $ IF(P.GT.O) 4,10

4 DEN = OB = FINOENF(T,P) $ N = 11 $ LO = KO $ DA = 0 5 E = EZZ f EZ £OELF(0,N,T,DA,DB,LO) $ H = £ 100*P/OB

6 S = SZ DELS - 100*G*ALOG (G*T*0B/0)

7 CV = CVZ DELCV $ PX = PVTF(T,OB,l)

8 CP = CV 100*T/OPOD* (DPOT/OB) **2

9 W = SORT (WK*CP*OPOD/CV) $ RETURN

10

OEN=S=0 $ E = EZZ EZ S H = E 100*G*T $ CV=CVZ $ CP=CPZ

12 W = SORT ( WK*CP*G*T/CV) $ RETURN $ END

SUBROUTINE GENIUS

SAVES COMPUTER TIME WHEN TABULATING FUNCTIONS ALONG ISOBARS.

SAVES OEN,E,S,CV ALONG ISOBARS FOR USE IN INTEGRATING TO NEXT

HIGHER ISOBAR. VALID ONLY FOR MONOTON IC ALLY INCREASING ISOBAR

PRESSURES, AND AT TEMPS. T = INTEGER MULTIPLES OF 10 K.

COMMON/3/OPOT,02POT2 ,OPSOT,DPMOT,OPDD,DPOR,OTSDR, OTHOR

COMMON/8/ IN, IK, P,T,C£N, E,H,S, CV,CP,CSAT, W,HK

COMMON/12/ DELS, DELCV

COMMON/19/ KD

DIMENSION DK(70) ,£K(70) ,SK(70» ,CK(70)

1 FORMATdHO 9X *GENIUS T NOT INTEGRAL. / I 2 J = T/10 $ IF(T - 10*J) 3,4

3 PRINT 1 $ STOP

4 IF(IK.EQ.IN) 5,9

5 KD = LD = 2 S CALL GENEOUS $ KD = 1 6 OKU) = DEN $ EK(J) = E $ SK(J> = S $ CK(J)=CV $ RETURN

C INTEGRATE FROM OLD DEN UP TO NEW DEN ON GIVEN ISOTHERM.

9 DA = DK(J) $ OK(J) = DEN = DB = FINOENF(T,P) $ N = 10

11 EK(J) = E = EK(J) EOELF(l,N,T,OA,DB,LD) S H = E 100*P/OB

13 SK(J) = S = SK{J) f DELS $ CK(J) = CV = CK(J) «• OELCV

C NOW GET NEW DP/DT, OP/00, CP, W.

15 PX = PVTF(T,OB,l) $ CP = CV 10 0* T/OPDO» ( OPOT/OB) ** 2 30 W = SORT {WK*CP*OPOD/C V) $ RETURN $ END

161
o

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o

Appendix C

.

Con 1 1 nued .

FUNCTION HSATF(T)

NF3 SATLIQ ENTHALPY, J/MOL, RDG/NBS, NOV. 13, 1979.

BASED ON EZ2 = HZZ s 12340.685 J/MOL.

FOR 35 POINTS, TTRP THRU TCRT, RMSPCT = 0.003.

DEFINE YH E ( H-HCJ / (HT-HC) , X = (TC-T) /(TC-TT) , WHEN - YH = X CXE-X)*(A1 A2*X A3*X2 . . .

)

DIMENSION AH(8)

DATA (NFH=8) , <TT RP=66.35 I , <TCRT=234.0I

DATA (EH=0.35) ,(HTRP=0.0), (HCRT=15460.422I

OATA(AH = 0.4046924015, -0.222397394, 1.684556929, -5.424338100,

1 8.875748786, -7.740104222, 3.181911763, -0.4505783783)

1 FORMATdHO 9X 3HT =F10.5, * IN HSATF(T).*/)

2 IF(TCRT-T) 3,4,5

3 PRINT 1, T $ STOP

4 HSATF = HCRT $ RETURN

5 IFCT.EQ. TTRP) 6,7

6 HSATF = 0.0 $ RETURN

7 X = (TCRT-T) /CTCRT-TTRP) $ V = X**EH - X S FX = X

8 DO 9 K=1,NFH $ FX = FX V*AH (K) *X** (K-1)

9 CONTINUE B HSATF = HCRT*(1 - FX) $ RETURN S END

SUBROUTINE IDEAL

C NITROGEN T FIFLUORIOE IDEAL GAS FUNCTIONS, R.O.G., 1/23/79.

C CPZ/R = 4 « (A1 f A2/X f A3/X2 . . )*EXPC-E/X), X = T/100.

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

DIMENSION A(5)

DATA (NF=5) , C£=8.76) , (R=8. 3145)

D AT A (A=6. 1189724,48.162688,228.231405,-249. 067052,564. 293045)

1 XI = Tl/lOO $ XP = EXP(-E/XI)

4 CP = 4.0 $ DO 5 K=1,NF

5 CP = CP + A (K) *XP*XI*»(1-K)

C NUMERICAL INTEGRATION FOR HZ/RT, SZ/R. START AT T = 300.

9 SI = 4.1 84*62. 378/R B HI = 4184.0*10.024 f 2.832)/300/R 10H=S=0 $ N= ABSCTI-300)/2 +2 B OX = CXI-3)/N

11 DO 20 J=1,N B X = 3.0 f (J-0.5)*OX $ XP = EXP(-E/X)

15 CPX = 4. 0 B DO 16 K=1,NF

16 CPX = CPX * A (K) *XP*X** { 1-K)

17 H = H + CPX*OX B S = S + CPX*DX/X

20 CONTINUE B S=SI*S B H=(H+ 3*HI)/XI

C CONVERT TO JOULES, MOLES, KELVINS.

21 HZ = H*R*TI $ EZ = HZ - R*TI B SZ = R*S

22 CPZ = R*CP B CVZ = CPZ - R $ RETURN B END

FUNCTION PMELTF(T)

C METHANE SOLID-LIQUID MELTING PRESSURE, BAR.

COMMON/1/AL,BE,GA,OE,EO, OCRT ,TCRT, PCRT, DG A T, DTRP , TTRP , PTRP

COMMON/3 /OPDT, D2PDT 2, OPS DT,OPMOT,DPDO,OPOR,OTSDR,DTHDR

DATA CQP=1. 01325) , (£=1. 85 ) , C A=1 884 . 43

)

1 X = T/TTRP B XE = X**E $ AQ = A*QP

2 PMELTF = PTRP + AQ*(XE-1)

3 DPMDT = AQ*E*XE/X/TTRP B RETURN B END

162
Appendix C. Continued.

SUBROUTINE JTLOCUS

C DERIVE THE J-T INVERSION CURVE. USE ROUTINE DELTAF (T,0I) . COMMON/l/AL,BE.GA,DE» EP. 0 CRT , TCRT , PORT , DGAT,DTRP,TTRP, PTRP

DIMENSION OK(60) *ON(60) *TTC60I ,PP(60)

DATA (A=l. 29079) t(8=0.49734)

1 FORMAT (IHl 16X THE JOULE-THOMSON INVERSION LOCUS FOR NITROGEN TRI

IFLUORIOE. //

2 17X 3HT.K 8X2H0I 5X5HM0L/L 5X5HP.BAR

3 7X3HT,K 8X2H0I 5X5HM0L/L 5X5HP,BAR ) 2 FORMATdOX 110. 2F10.3, F10.2, 110, 2F10.3, F10.2)

C SAVE INITIAL, TRIAL DENSITY, DK(I) = 01.

5 TA = 180 $ NP = 52

6 PRINT 1 $ DO 25 1 = 1', NP $ DX = 1.6

7 T = TA f 10»I S X = T/TCRT S DKCI) = 01 = DCRT*EXP ( A-8»X)

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

11 OL = DENLIOF(T) S IF(OI.LT.OL) 23,12

12 SS = DELTAF(T,DI) $ DO 20 IT=1,20

14 0=0I-DX $ SL=DELTAF(T,0) S D=DI+OX $ SP=DELTAF (T,0)

15 IF(SS-SL) 18,16,16

16 IF(SP-SL) 19,17,17

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

18 IF{SS-SP) 20,20,19

19 SS = SP $ 01 = 01 OX

20 OX = OX/2 S TT(I) = T $ DN(I) = DI $ PP(I) = PVTF(T,OI,0)

21 GO TO 25

23 TT(I) = T S DK(I) = DN(I) = PP(I) = 0 25 CONTINUE $ N = NP/2 $ 00 29 J=1,N $ K = J N 26 IT = TT(J) $ ITT = TTCK)

29 PRINT 2, IT,0K(J) ,ON ( J),PP (J) , ITT, OK ( K) , ON ( K) , PP (K)

30 RETURN $ ENO

FUNCTION OELTAFIT.O)

C GET (T*OP/DT - D*OP/OD) FOR THE J-T INVERSION CURVE.

COMMON/l/AL,BE,GA,DE,EP, OCRT, TCRT ,PCRT, D GAT, OTRP , TTRP , PTRP

COMMON /3/0P0T,D2PDT2,0PSDT,0PM0T,0P00,0P0R,DTSDR,0TH0R

1 IF(T-TCRT) 2,4,4

2 OL = OENLIQFCT) S IF{D-DL) 3,3,4

3 OELTAF = l.OE+100 $ RETURN

4 P = PVTF(T,D,1)

5 OELTAF = ABS ( T»0PDT-0»DP00) $ RETURN S ENO

163
Appendix C, Continued.

SUBROUTINE PRINTIT

C PRINTOUT ISOCHORES AND ISOTHERMS.

COMMON/l/ALtBE,GA,DE,EP, OCRT, TCRT.PCRT, OGA T, OTRP , TTRP, PTRP

COMMON/3 /OPOT,D2POT2,OPSDT, DP K)T,OPOD,OPOR,OTSDR, OTHOR

DATA (R = 0.0831451

1 FORMATdS, 2F10.0)

5 FORMAT(IX)

6 FORMATdHl 25X *NF3 ISOCHORE AT*F7.3, * MOL/L*// 17X 3HT,K

1 5X5HP.BAR 9X1HZ 5X5H0P/0D 5X5H0P/DT 5X7HD2P/0T2 ) 7 FORMATdOX 2F10.3, F10.5, F10.3, F10.4, F12.6>

8 FORMATdHl 25X *NF3 ISOTHERM AT*F7.2, * DEG. K*// 15X 5HM0L/L

1 5X5HP.BAR 9X1HZ 5X5H0P/00 5X5H0P/0T 5X7HD2P/0T2 ) 9 FORMATdOX 2F10.3t F10.5» F10.3* FlO.4. F12.6I

C PRINTOUT THE ISOCHORES.

20 DO 60 1*1,27 $ IF(I.EQ.l) 21,22

21 ON * 0.5 $ GO TO 30

22 IF(I.EQ.9) 23,24

23 DN * DCRT $ GO TO 30

24 ON = I - 1 30 PRINT 6, DN $ TS = TSATF(DNI $ PS = P VTF ( TS, DN , 1)

31 Z = PS/ON/R/TS

32 PRINT 7, TS,PS,Z, OPDO, OPOT , 02P0T2

38 IF(I.LT.IO) 39,40

39 IT = 8 $ GO TO 50

40 IFd.LT.14) 41,42

41 IT = 4 $ GO TO 50

42 IFd.LT.19) 43,44

43 IT = 2 $ GO TO 50

44 IT = 1 50 DO 59 J=68,504,IT S TT * J S IF(TT-TS) 59,59,52

52 PP = PVTF(TT,ON,l) $ IF ( PP.GT. 360) 60,55

55 Z = PP/ON/R/TT

58 PRINT 7, TT,PP,Z, DPOO , 0 POT , 02PDT2

59 CONTINUE

60 CONTINUE

C PRINTOUT THE ISOTHERMS.

100 DO 130 1=1,99 $ READ 1, IDO, TT,DX $ IF(IDO) 101,999

101 PRINT 8, TT $ PM = PMELTF(TT)

102 IF(TT-TCRT) 103,103,104

103 DG = OENGASF(TT) $ DL = DENLIQF(TT)

104 L = 0 $ OS = OX

105 DO 120 N=l,1500 $ DN = N*DS $ IF(TT-TCRT) 106,106,117

106 IF(ON.GE.OG. ANO.DN.LE.DL) 107,117

107 L = L+1 $ IF(L.EQ.l) 108,120

108 PG = PVTF(TT,DG,1» $ Z = PG/DG/R/TT

109 PRINT 9, OG,PG,Z, DPDO, OPOT, 02P0T2

110 PRINT 5

111 PL = PVTF(TT,OL,l) $ Z = PL/OL/R/TT

112 PRINT 9, OL,PL,Z, OP DO, OPO T, D2PDT2

116 GO TO 120

117 PP = PVTF(TT,ON,l) $ IF ( PP . GT . PM. OR, PP . GT. 40 0) 130,118

118 Z = PP/DN/R/TT

119 PRINT 9, DN,PP,Z, DPOO, OPOT , 02P0T2

120 CONTINUE

130 CONTINUE

999 RETURN $ END

164
Appendix C. Conti nued .

FUNCTION PSATF(T)

C LN(P) = PI P2/X P3*X + P4*X2 + P5*X3 P6*X* (1-X) EPP.

C WHERE, X = T/TCRT, U = 1/X.

COMMON/l/AL,BE,GA,DE, EP, DCRT, TCRT , PORT, OG A T, 0 TRP , TTRP , PTRP

COMMON/2/ NFP, EPP, PJ(6)

COMMON/3/OPOT,D2POT2 ,OPSDT,DPMDT,OPDO,OPOR,OTSDR,OTHDR

1 FORMATdHO 9X *T ABOVE TCRT IN PSATF(T). * / ) 2 X = T/TCRT $ X2 = X*X $ X3 = X*X2 S XIT = 1.0/TCRT

3 IF(X.LE.fl) 4,5

4 PSATF = DPSDT =0 $ RETURN

5 U = 1.0/X $ UlT = -XlT/X/X

6 V = 1.0 - X B IF(V) 7,8,9

7 PRINT 1 B STOP

8 Z = Z1 = 0 $ GO TO 10

9 Z = V**EPP B Z1 = -EPP*Z/V

10 A=PJ(1) B B=PJ(2) $ C=PJ(3) $ D=PJ(4) $ E=PJ(5) B F=PJ(6)

11 PL = A f 8*U * C*X f D»X2 £*X3 f F*X*Z

12 PLIT = B»U1T (C + 2*D*X + 3*E»X2 + F* ( X*Zl+ Z) ) *X1T

16

PSATF = EXP(PL) B DPSDT = PLlT^PSATF B RETURN B END

SUBROUTINE PVTOATA

C NITROGEN TRIFLUORIOE EQNSTATE, R.D.G.(NBS), SEPT. 24, (1979).

COMMON GK,GKK, 81,32,83,84,85, C1,C2,C3, E1,E2,E3, ER,IX

COMMCN/l/AL, BE, GA,OE,EP, OCRT, TCRT , PORT , OGA T, OTRP, TTRP , PTRP

COMMON/2/ NFP, EPP, PJ(6)

COMMON/7/ NFG, GE, AVC6)

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

COMMON/10/ NFL, EL, AW(6)

COMMON/13/ ZCRT,ZSAT,DZSOT, ZFX, FRT,DFRTDT

COMMON/19/ KO

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

15 NFP=6 B EPP=1.75 B NFG=3 B NFL=2 B GE = EL = 1. 0/3.3

17 WM = 71.0019 B OCRT = 7.92 B OTRP = 26.32

18 TTRP = 66.35 B TCRT = 234.0 B GKK = 0.083145 B GK=GKK*DCRT

19 PJ(1) = 20.315417602 B PJ(2) = -8.362069370

20 PJ(3) =-21.398986401 B PJ(4) = 20.162194616

21 PJ(5) = -6.918662727 B PJC6) = 3.677799376

22 PTRP = PSATF(TTRP) B PCRT = PSATF(TCRT)

23 ZCRT = PCRT/OCRT/GKK/TCRT

25 AV(1) = -0.7109566941 B AV(2) = 0.3800175233

26 AV(3) = 1.622847586 B OGAT = DENGASF (TTRP)

28 AH(1) = 0.754377410 B AW(2) = 0.027975083

30 IX=1 B AL=1 B GA=1 S DE=C.5 B EP=1 B BE = ER = 0 31 B1 = 0.55199813920 B B2 = 0.13268809584 B 33 = 0.20608495802

32 El = 0.74067409894 B E2 = 0.29375371520 B E3 = 0 33 WK = ICOOOO/WM B KO = 1 B EZZ = 12340.685

99 RETURN B END
o

o

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o

Appendix C. Continued.

FUNCTION PVTF(T,D,M)

NF3 EQNSTATE, PVTF = P,BAR.

NOTE, M=0 RETURNS OP/OT, 02P/CT2. M=1 RETURNS ALSO DP/00.

P-PSAT = S*0K*(T-TSATI + S* S*GK*TCRT* F ( S, T ) , WHERE - F(S,T) E 0 IS) *XBF(S,T) E( S) XEF (S,T) , AND - B(S) E B1 4- B2*S B3*S2, E<S) E ( El «-E2*S) • ( S-l ) *EXP « -G A*S**I X )

.

WHERE, R E OEN/DTRP, S E DEN/OCRT.

COMMON GK,GKK, B1 , B2 B3 , B4 , B5 , C1,C2,C3, E1,E2,E3, ER,IX

C0MM0N/1/AL,BE,GA,DE,EP, DCRT,TCRT,PCRT, OGAT,OTRP,TTRP,PTRP

C0MM0N/3/0P0T,D2P0T2 , DPSDT ,0 PHOT, DPDD , OP 0R,0 TSOR, OTHOR

C0MM0N/4/XB1,XB2, XC1,XC2, XE1,XE2, OXBDR, DXCOR, OXEOR

COMMON/6/ TSAT, THETA, PSAT

COMMON/13/ ZCRT,ZSAT ,CZSOT, ZFX, FRT.OFRTDT

1 S = O/OCRT $ S2=S»S $ S3=S*S2 S SN=S-1 S SX=S**IX

2 GK = OCRT^GKK i TC = TCRT $ DSDR = OTRP/DCRT

3 RG = S*GK S GKT = GK*TC S TSAT = TS = TSATF(O)

4 THETA = THETAF(O) $ PSAT = PS = PSATFCTS)

5 X0 = XBFCT.D) S XE = XEF(T,0)

6 B = (B1 + B2*S * 33*S2)*S2 $ XP = EXP(-GA*SX)

10 S£ = E1*S2 4- E2*S3 $ SM = SE*SN $ E = SM»XP

12 F = B^XB 4- E*XE $ Fl = B*XB1 4- E*XE1 $ F2 = B*XB2 4- E*XE2

13 PVTF = PS 4- RG*(T-TS) 4- GKT^F $ FRT=F/S2 S DFRTDT = F1/S2/TC

14 OPOT = RG 4- GK*F1 $ 02P0T2 = GK*F2/TC S IF(M) 15,30

15 BO = (2»B1 4- 3*B2*S 4 4»83*S2» S^OSDR

16 SMI = SE 4- (2*E1*S 4- 3*E2*S2)*SN I XPl = -IX*GA*SX/S

17 EO = (SM*XP1 4- SM1)*XP*DSDR

20 Fl = B»0X80R 4- BQ*XB 4- E*OXEOR 4- ED*XE

26 OPOR = (OPSOT-RG) ’OTSDR 4- (T-TS) GK*DSDR 4- GKT’Fl

27 DPOO = OPDR/DTRP

30 RETURN $ END

166
oooo

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Appendix C

.

Con t i nued

FUNCTION QVAPXFCn

NITROGEN TRIFLUORIOE, OCT. 16, 1969. NBS/RDG.

FOR 16 THERMALOOP AND 35 CLAPEYRON DATA, RMSPCT = 0.05.

QVAP/QTRP = X f (XE-XJ*(A f B^X C*X2) , WHERE -

X = CTC-T)/(TC-TT) , XE = X**E.

DATA (E=0.38) , (QT= 14 . 546 ) , (TTRP=66.3 5) , ( TCRT = 234. 0 I , t XN=16 7. 65 ) DATA (A=0. 998247122) , (3=0.269536103) , ( C=- 0 . 4 05 0 1 0 672

)

1 FORMATdHO 9X *T EXCEEDS TCRT IN QVAPXFtT). * / ) 2 IF(TCRT-T) 3,4,5

3 PRINT 1 $

* STOP

4 QVAPXF =0 S RETURM

5 X = (TCRT-T)/XN $ X2 = X*X S XE = X**E

6 Q = QT*(X (XE-X)»(A f B»X C*X2))

7 QVAPXF = Q*1000 $ RETURN S END

FUNCTION SSATF(T)

NF3 SATLIQ ENTROPY, J/MOL/K, RDG/NBS, NOV, 13, 1979.

FOR 35 POINTS, TTRP THRU TCRT, RMSPCT = 0.002.

SSAT - SCRT = A1*U*»ES + A2*LN(X) A3*U A4*U2 A5*U3, WHERE

X = T/TCRT, U E (1-X)

.

DIMENSION AS(7)

DATA (NFS=7) , (ES=0. 33) , (TCRT=234.0) , (SCRT=197.03182)

OATA(AS = -27.04141165, 168.4875348, 117.5913487,

1

-16.46287979, 241.1959696, -288.5828349, 230,9162107)

1 FORMATdHO 9X 3HT =F10.5, IN SSATF(T). * / ) 2 IF(TCRT-T) 3,4,5

3 PRINT 1, 1 5 STOP

4 SSATF = SCRT $ RETURN

5X = T/TCRT $ U = 1.0-X

6 SSATF = SCRT f AStD^U'^^ES f A S ( 2 ) * ALOGC X ) $ DO 7 K=3,NFS

7 SSATF = SSATF + AS ( K) *U* * ( K- 2) $ RETURN B END

1 67
Appendix C. Cent i nued

.

SUBROUTINE TABLIQ

C TABULATE NF3 SATURATED LIQUID FUNCTIONS.

COMMON/l/AL.BE,GA.DE,EP, OCRT , TCRT , PORT , OGAT,DTRP,TTRP, PTRP

C0MM0N/3/DP0T,D2PDT2.DPSDT,DPMCT,DP00,0PDR.0TSDR,DTH0R

COMMON/5/ DDSDT

COMMON/6/ TSAT, THETA, PSAT

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

C0MM0N/9/0NG,EG,HG,SG, CVG,CPG,WG, OPGDT,DFGOO

DIMENSION TSA(40), PSA(40)

DATA (G = 0.083145)

4 FORMATdHl 13X ^PROPERTIES OF SATURATED LIQUID NITROGEN TRIFLUORID

IE. //

1 14X IHT lOXlHP 5X3H0EN 7X1HZ 3X5HV,LIQ 6X5HV.GAS

2 5X6H0PS/DT 3X6HDDL/DT 3X5HDP/0T 6X5H0P/DD /

3 10X5HDEG K 8X3HBAR 3X5HM0L/L 8X 3X5HL/M0L 6X5HL/M0L

4 6X5HBAR/K 2X7HMOL/L/K 3X5HBAR/K 2X9HBAR-L/M0L ) 5 FORMAT (5XF10. 3, Ell. 4, F8.3, F8.5, F8.5, 2E11.4, F9.5, F8.3,E11.4)

11 FORMATdHl 13X *PROPERTIES OF SATURATED LIQUID NITROGEN TRIFLUORID

1 £. * //

1 14X1HT lOXlHP 4X5HQ,VAP 8X1HE 8X1HH 8X1HS

2 6X2HC\/ 6X2HCS 6X2HCP 6X1HW /

3 10X5HDEG K 8X3HBAR 4X5HJ/M0L 4X5HJ/M0L 4X5HJ/M0L 2X7HJ/M0L/K

4 1X7HJ/M0L/K 1X7HJ/MOL/K 1X7HJ/MOL/K 2X5HM/SEC ) 12 F0RMAT(5X F10.3, Ell. 4, 3F9.1, F9.3, 3F8.2, 17)

C FOR PAGE ONE OF TABLIQ.

C REPLACE T = 145 BY BOILING-POINT AT J = 17.

130 PRINT 4 S NP = 37

131 DO 150 J=1,NP S IF(J.EQ.l) 132,133

132 T = TTRP S GO TO 139

133 IF(J.EQ.17) 134,135

134 T = FINOTSF( 1.01325) S GO TO 139

135 IF(J.EQ.NP) 136,138

136 T = TCRT $ OG = OL = DCRT $ DOLDT = 0 137 \/G = VL = l.O/OCRT $ GO TO 141

138 T = 60 <• 5*J

IF(J.EQ.35) T = 232

IF(J.EQ.36) T = 233

139 OL = OENLIQFIT) $ DOLDT = OOSDT

140 DG = DENGASFCT) J VG = 1/DG I VL = 1/DL

141 TSA(J) = T $ PX = PVTF(T,DL,1)

147 PSACJ) = PS = PSAT $ Z = PS/OL/G/T

150 PRINT 5, T,PS,OL,Z, VL,VG, OPSOT, DOLDT, OPDT,OPOO

C FOR PAGE TWO OF TABLIQ.

C USE COEXIST AT ALL TEMPS.

160 PRINT 11 $ DO 170 J=1,NP $ P ~ PSA(J) S T = TSA(J)

164 CALL COEXIST $ IW = W $ QX = QVAPXF(T)

170 PRINT 12, T,P,QX, E,H,S, CV,CSAT,CP, IW

999 RETURN B END

168
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Appendix C

. Continued.

SUBROUTINE THERMO

THERMO IS FOR COMPUTATION AT ANY, RANDOM (P,T) POINT.

THERMO ASSUMES AN ISOBAR IN SINGLE-PHASE ONLY.

GIVEN (P,T), RETURNS DEN, E,H,S, CV,CP,W, OPDT.DPOD.

ENTRIES BELOW FOR PHASE BOUNDARIES ASSUME A GIVEN ISOBAR P.

NITROGEN TRIFLUORIOE RCUTINES, ROG/NBS, NOV. 13, 1979.

COMMON/l/AL,BE,GA,DE,EP, OCRT,TCRT,PCRT, OGAT, DTRP, TTRP, PTRP

COMMON /3 /0PDT,02P0T2 , DPSOT ,0 PMDT ,OPOO, OP OR, OTSOR, OTHDR

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

COMMON/9/ ONG,EG,HG,SG, CVG,CPG,WG, OPGDT,OPGOO

1 FORMATdHO 9X »THERMO T = F8.3, 5H, P = E12.5/

1 lOX 'T BELOW TTRP, NOT DEFINED. / ) 2 FORMATdHO 9X THERMO- T =* F8.3, 5H, P = E12.5/

1 lOX *P ABOVE MELTING LINE, NOT DEFINED. * / ) 3 FORMATdHO 9X THERMO T = F8.3, 5H, P = E12.5/

1 lOX DOUBLE-VALUED AT COEXISTENCE. / ) 4 FORMATdHO 9X THERMO T = F8.3, 5H, P = E12.5/

1 lOX CP,CV,W UNAVAILABLE AT TCRT AND P.GT.PCRT. / ) 10 IF(T.LT.TTRP) 11,13

11 OEN=E=H=S=CV=CP=W=DPDT=DPOO=0 S PRINT 1, T,P S RETURN

13 IF (T.LT. TTRP+20) 14,20

14 PM = PMELTF(T) $ IF(P.GT.PM) 15,20

15 OEN=E=H=S=CV=CP=W=DPOT=DPOO=0 $ PRINT 2, T,P $ RETURN

20 IF(P-PCRT) 21,30,35

SU8CRITICAL ISOBARS.

21 TS = FINDTSF(P) $ IF(T-TS) 22,23,25

22 CALL COMPRLQ 5 RETURN

23 OEN=E=H=S=CV=CP=W=OPOT=OPOD=0 f PRINT 3, T,P $ RETURN

25 CALL GENEOUS $ RETURN

THE CRITICAL ISOBAR.

30 IF(T.LE. TCRT) 31,32

31 CALL COMPRLQ S RETURN

32 CALL GENEOUS S RETURN

SUPERCRITICAL ISOBARS.

35 IF(T-TCRT) 36,37,39

36 CALL COMPRLQ S RETURN

37 CALL COMPRLQ $ CP=CV=W=0 $ PRINT 4, T,P S RETURN

39 CALL GENEOUS S RETURN

ENTRY THERMOM

THERMOM FOR GIVEN ISOBAR AT THE MELTING LINE, GET T.

RETURNS T,DEN, E,H,S, CV,CP,W, DPMOT, OPDT , DPOO.

40 T = FINDTMF(P) $ CALL COMPRLQ $ RETURN

ENTRY THERMOL

THERMOL FOR GIVEN ISOBAR AT SATURATED LIQUID LINE, GET T.

RETURNS T,OEN, E,H,S, CV, CP , CSAT, W, DPSDT,ODSOT, DPDT,DPOD.

43 T = FINOTSF(P) $ CALL COEXIST S RETURN

ENTRY THERMOV

C THERMOV FOR GIVEN ISOBAR AT THE SATURATED VAPOR LINE, GET T.

C RETURNS T,OEN, E,H,S, CV,CP,W, DPSOT, DOSDT, OPDT,OPOD.

45 T = FINQTSF(P) $ CALL COEXIST S DEN=ONG $ E=EG $ H=HG $ S=SG

47 CV=CVG 5 CP=CPG S W=WG $ DPDT=DPGDT S DPOD=OPGOD

50 RETURN S END
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Appendix C

. Cont i nued.

FUNCTION THETAF(OEN)

THETA = TSAT*EXP(U(S) )

.

LET Q = (S-1)/(ST-1), WHERE ST = OTRP/OCRT, THEN - IF S < 1, U = AL*Gl**3, IF S > 1, U = -AL*Q**3,

COMMON/l/AL,BE,GA,DE,EP, OCRT,TCRT,PCRT, DGA T, DTRP, TTRP, PTRP

COMMON/3 /OPOT, D2POT2 ,OPSDT ,OPMOT ,OPOO,OP DRtOTSDR, DTHOR

COMMON/&/ TSAT, THETA, PSAT

1 S = OEN/DCRT $ DSDR = DTRP/DCRT $ C = OSOR-1

2 Q = (S-ll/C S Q2 = Q*Q $ U = AL*Q*Q2

3 U1 = AL»3*Q2*DS0R/C S IFta) 5,9,4

4 U = -U B U1 = -U1

5 XP = EXP(U) B THETAF = TSAT’XP

6 OTHOR = (TSAT^Ul * OTSDR)*XP $ RETURN

9 THETAF = TCRT B DTHOR =0 $ RETURN $ END

FUNCTION TSATF(DEN)

C ITERATE T TO MINIMIZE (DEN-DCALC) VIA DENGASF(T), DENLIQF(T).

C IF ITERATION FAILS, PRINTOUT ONCE ONLY AND STOP AT K = 2.

C0MM0N/1/AL,8E,GA,0E,EP, OCRT, TCRT , PORT, DGA T,OTRP, TTRP, PTRP

COMMON/3/OPOT,D2PDT2, OP SOT ,DPMOT, 0P0D,DP0R,0 TSOR, OTHOR

COMMON/5/ OOSOT

DATA (0=2.0) , (FN=6. 3890561)

C NOTE, FN = EXPCQ) - 1.0.

1 FORMATdHl 14X *TSATF(DEN) FAILS AT DEN =* E15.7//

1 15X 5H0CALC 13X2HDD 10X5HODSOT 13X2HOT 12X3HT,K ) 2 F0RMAT(5X 4E15.7, E16.8)

K = 0 B D = DEN B IFCO.LE.O) 3,4

3 TSATF =0 $ OTSOR = l.OE+100 B RETURN

4 S = 0/DCRT S YN = TCRT/TTRP-1 B IF(D-OCRT) 5,30,6

5 ST=OGAT/OCRT B F= ALOG (S) / ALOG ( ST ) ( ( 1-S) / ( 1-ST) ) *

2 B GO TO 7 6 ST=DTRP/OCRT B U= ( (S-1) / (ST-1) ) **3 B F= (EXP (Q*U) -1) /FN

7 T = TCRT/(YN*F+1)

8 00 20 J=l,50 B IF(D-OCRT) 9,30,10

9 DC = OENGASF(T) $ GC TO 11

10 DC = OENLIQF(T)

11 DO = D - OC S IF(ABS (00/0) .LT.l.OE-7) 25,12

12 DT = OO/DOSDT $ IF ( A3S (OT/ T) .LT . 1. OE-7) 25,13

13 T = T + OT B IF(T) 14,14,15

14 T = TTRP S GO TO 18

15 IF(T.LT. TCRT) 18,16

16 T = TCRT - 0.00001

18 IF(K.EQ.l) PRINT 2, DC, DO, OOSOT, OT, T 20 CONTINUE B K = K+1 f IF(K.N'E.l) STOP

21 PRINT 1, DEN B GO TO 4

25 TSATF = T B OTSOR = OTRP/OOSOT B RETURN

30 TSATF = TCRT $ OTSOR = 0 B RETURN B END

170
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Appendix C. Continued

C FUNCTION XBFCT.D)

XBF = SORT (T/TC) *LN(T/TS) = Q(T)*ZCR,TI,

C0MM0N/1/AL,BE.GA,DE,EP, DCRT, TCRT,PCRT, OGA T, OTRP , TTRP, PTRP

COMMON/3/OPDTtD2POT2,OPSDT,OPMOT,OPDO*OPDR,OTSDR,OTHDR

COMMON/4/XB1 ,XB2, XC1,XC2, XE1,XE2, OXBOR* OXCORt OXEOR

COMMON/6/ TSAT, THETA, PSAT

1 TC = TCRT S TS = TSAT $ X = T/TC

2 U = T/TS S UIX = TC/TS $ UlR = -U*OTSOR/TS

3 Z = ALOG(U) 5 Z1R=U1R/U $ Z1X=U1X/U $ Z2X=-Z1X*Z1X

4 Q = SQRT(X) $ Q1 = 0.5/Q $ 02 = -Q1/2/X

5 XBF = Q»Z S DXBOR = Q^ZIR $ X81 = Q’ZIX + Ol*Z

6 X82 = Q»Z2X * Q1*2»Z1-X f Q2»Z $ RETURN S END

FUNCTION XEF(T,0)

THIS H-FORM FROM NBS J.RES, 73A(6», 585, DEC. (1969).

XEF = PSI - PSISAT, PSI = A*F(T) + B*H(R,T), WHERE - F(T) = EXP (C» (1-X) ) , H = (1-TH/T), HE = W**£X, AND - H(R,T) = 1 - (W - HE/E)/( 1-1/E)

.

C0MM0N/1/AL,BE,GA,0E, EP, OCRT, TC RT, PORT , OGA T, OTRP, TTRP, PTRP

C0MM0N/3/0P0T,D2P0T2 ,DPSOT,OPMDT,OPDO,DPOR,OTSOR,OTHOR

C0MM0N/4/XBl,XB2, XC1,XC2, XE1,XE2, OXBDR, OXCOR, OXEOR

COMMON/6/ TSAT, THETA, PSAT

DATA (EX = 1.10)

1 A=OE J 8=1-A B C=£P S £=EX S TC=TCRT $ TS=TSAT $ TH=THETA

2 EK = E/(E-1) $ X=T/TC $ XS=TS/TC $ XSl=OTSOR/TC

3 W = l.Q - TH/T $ IF(W) 30,30,4

4 F = £XP(C*(1-X)) $ FI = -C*F $ F2 = -C*Fl

5 WIR = -DTHDR/T $ WIX = TH/T/X $ W2X = -2*W1X/X

6 WE = W**E $ H£1 = E*WE/H $ WEIR = WE1*W1R

7 WEIX = HE1*W1X B WE2X = WE1»W2X f (E -1 ) WEI/ W» HI X* HI

X

8 H = 1 - EK*(H-HE/E) $ HIR = -EK* (W IR-WEIR/E)

9 HIX = -EK*(W1X-WE1X/E) $ H2X = -EK* ( H2X-HE2X/E)

10 P = A»F B*H $ PIR = B*H1R

11 X£1 = A*F1 8*H1X $ XE2 = A*F2 f B*H2X

12 WS = l.Q - TH/TS $ IF(HS) 13,13,14

13 FS = HS = 1 $ FSl = HSl =0 $ GO TO 22

14 WSl = (TH*OTSOR/TS - OTHOR)/TS

15 WSE = WS**E fi WSEl = E*WSE*WS1/WS

16 HS = 1 - EK*(WS-WSE/E) $ HSl = -EK* (HSl-WSEl/E)

20 FS = EXP(C* (1-XS) ) $ FSl = -C*XS1*FS

22 PS = A*FS + 8*HS $ PSl = A*FSl B*HS1

25 XEF = P - PS $ OXEOR = PIR - PSI $ RETURN

30 XEF = XEl = XE2 = DXE CR = 0 $ RETURN $ ENO

171
Appendix C. Continued.

PROGRAM ZIEGLER(OUTPUT)

C NF3, ESTIM. V.P. AND QVAP FROM TRIPLE- TO BOIL ING- POINTS

t

C USING ENTHALPY AND ENTROPY CLOSED LOOPS.

COMMON/1/ TA,TB,PB,Q6, OELH.OELS

COMMON/2/ EZA,HZA,SZA, HGB.SGB, OHLAB,DSLAB

C0MM0N/3/DPDT,02PDT2 .D PSDT »D PMOT OPOD, OPOR, OTSDR. DTHDR

COMMON/9/ PZIP, BZ, DBZOT, DPZDT, OZDO

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

DIMENSION QK(2) ,TK(150) ,OK(150) ,PIK(150) »PK(150) .QJ(150)

1 F0RMAT(I5, Fia.3, E15.6)

2 FORMATdS, F10.3, FIO. J)

3 FORMATdHl IIX *NF3 ESTIM. \/.P.,BAR, AND QVAP, KJ/MOL, ROG/NBS.*//

1 12X 4HT3 =F10.5, 6H , P8 =F8.5, 6H, D8 =F9.6/

2 12X5HEZB =F7,1, 7H, EGB =F7.1, 7H, HZB =F8.1, 7H, HG3 =F8.1/

3 12X 5HSZB =F9.4, 7H, SGB =F9.4, 6H, QB =F8.1/ ) 4 F0RMAT(7X 3HT,K 8X2HPI 6X5HP,BAR 5X5HM0L/L 6X3HHZA 6X3HHGA

1 6X3HSZA 6X3HSGA 4X5H0HGAB 4X5HDHLAB 4X5H0SGAB 4X5HDSLAB

2 5X3HQAH 5X3HQAS ) 5 FORMAT (2XF8. 2, El 0 . 4 , El 1 .5 , El 0 . 4, 2F9.1,2F9.3, 2F9.1,2F9.3, 2F8.3>

6 F0RMAT(12X 3HT,K 4X5H100/T 7X5HP,EQN 7X5HP,BAR 6X5HLN(P)

1 4X8HDG,M0L/L 3X5HQ,EQN 3X5HQ,VAP ) 7 FORMAT(5X FlO.2, F9.5, 2E12.5, F11.5, E12.5, 2F8.3)

8 TTRP = 66.36 $ PB = 1.01325 S TB = 144.10

C NF3 QVAP,J/MOL VIA PIERCE/AEROJET AT BP = 144.10 K.

9 QK(1) = QK(2) = 11587.0

C GET HGB, SGB FOR SATVAPOR AT THE BOILING POINT.

10 TI = T3 S CALL IDEAL $ EZB=EZ $ HZB=HZ $ SZB=SZ

11 ONB = FI NDENF (TB,P3) S EGB = EZ EOELF ( TB , DN3)

12 SGB = SZ + DELS $ HGB = EGB 100*PB/DNB

14 I = 1 $ QB = QK(I)

15 PRINT 3, T3,PB,0NB, EZ3,EG8, HZB, HGB, SZB.SGB, QB S PRINT 4

C DO TEMPERATURES FROM TRIPLE- TO BOILING-POINTS - 20 DO 50 J=l,76 $ IF(J.EQ.l) 21,22

21 TA = T = TTRP S GO TO 23

22 TA = T = 66 + J

C GET EZA, HZA, SZA AT T = TA.

23 TI = TA 5 CALL IDEAL $ EZA=EZ S HZA=HZ $ SZA=SZ

C GET DHLA3, OSLAB FOR THE SATDLIQUID FROM TA TO TB.

24 CALL CSATSUM $ OHLA3 = OELH S DSLAB = DELS

C NOW ITERATE P (T=TA) TO MINIMIZE (QAH - QAS).

3C P = PI = PSATF(T) $ DP = P/2 S SS = OELTAF(T,P)

31 DO 40 IT=1,15 S PL = P-DP S SL = DELTAF(T,PL)

32 PP = PfDP $ SP = DELTAF(T,PP)

35 IF(SL-SS) 36,36,38

36 IF(SL-SP) 37,37,39

37 SS = SL $ P = P - DP $ GO TO 40

38 IF(SP-SS) 39,40,40

39 SS = SP $ P = P + DP

40 DP = DP/2 $ ONA = FINDENF(T,P)

C USE FINAL P TO GET ONA, HGA,SGA, 0HGAB,DSGA3,

C AND THEN, VIA LOOP, GET QAH, QAS.

42 EGA = EZA * EOELF(T,ONA) S SGA = SZA * DELS

43 HGA = EGA f 100»P/DNA $ DHGAB=HG8-HGA $ DSGAB=SGB-SGA

44 QAH =08+ 0HLA8 - OHGAB $ QAS = TA* (QB/TB + DSLAB - DSGAB)

45 QAH = QAH/1000 5 QAS = QAS/1000 S PIK(J) = PI

46 TK(J)=TA $ OK(J)=ONA $ PK(J)=P S QJ(J) = (QAH+QAS)/2

50 PRINT 5, TA,PI,P,ONA, HZA, HGA, SZA, SGA, DHGAB,DHLAB,

1 DSGAB, DSLAB, QAH, QAS

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Appendix C

. Continued.

C PRINT T.l/T, PEQN,P,LN(P) , DNA, QEQN,Q, FOR PUBLICATION.

61 PRINT 3, TB,P3*0NB, EZ8,EGB, HZB.HGB. SZB,SGB, QB $ PRINT 6

62 00 99 J=l,78

C 63 IF(J.EQ.50.OR. J.EQ.99) 67,70

C 67 PRINT 3, TB,PB,0NB, EZ 3, EGB , HZ B, HGB, SZB, SGB , QB $ PRINT 6

70 T = TK(J) $ AT = 100/T S P = PK(J) $ GP = ALOG(P)

71 QE = QVAPXF(T) /lOOO

C 75 PRINT 7, T,AT, PIK(J),P,GP, OK(J), QE,QJ(J)

80 IDX =40 $ IF(J.EQ.l) 90,81

81 IT = T/5 5 IF(T-5*IT) 99,90

90 QCALC = 100G*QJ{J)

91 PRINT 7, T,AT, PIK(J),P,GP, OK{J), QE,QJ(J)

C 92 PUNCH 1, IDX,T,P S PUNCH 1, IDX,T,DK(J) S PUNCH 2, IOX,T, QCALC

99 CONTINUE $ STO F - 3 END

SUBROUTINE CSATSUM

C GET OELH, DELS ALONG SATOLIQ FROM TA TO T8.

COHMON/1/ TA,TB,PB,QB, OELH, DELS

C0MM0N/3/DPDT,D2PDT2 ,0PS0T ,OPMDT ,DPOO, DPOR, OTSDR, DTHDR ie = h = s = o 2 TR = TB - TA $ N = A3S(TR)/2 +2 $ DT = TR/N

3 DO 8 J=i,N $ TJ = TA f (J-Q,5)*0T

4 CS = CSATXF(TJ) J PS = PSATF(TJ) S OS = OENLIQF(TJ)

5 H = H CS»DT f 100»OPSDT*OT/OS $ S = S f CS*DT/TJ

8 CONTINUE

9 DELF = H $ DELS = S $ RETURN S END

FUNCTION CSATXF(T)

C NF3 CSAT J/MGL/K VIA PIERCE/AEROJET FOR T = 70 TO 225 K.

C CS CAL/MOL/K = A B»X + C*X2 ... f F*X5, X E T/100.

DATA (A = -3, 53 3 79) , (8 = 9 8.9421 ), (C = -176. 963 )

,

1

(0=148.825) , (E = -60. 07 52), (F = 9. 5 5 906)

1 X = T/100 5 X2 = X*X $ X3 = X*X2

2 CS = A f 3*X * C*X2 * 0*X3 * E*X2»X2 f F*X2*X3

3 CSATXF = 4.184*CS $ RETURN t END

FUNCTION OELTAF(T,P)

GET ONA,EGA,HGA,SGA FOR SATOVAPOR AT T,P, (T=TA),

GET 0HGA8 E HGB-HGA, OSGAB E SGB-SGA,

GET QAH, QAS VIA CLOSED LOOPS, THEN, DELTAF E ABS ( QAH-QAS)

.

COMMON/1/ TA,TB,PB,QB, DELH,DELS

COMMON/2/ EZA,HZA,SZA, HGB, SGB, OHLAB,DSLAB

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

1 IF(P.GT.O) 2,9

2 DNA = FINOENF(T,P) $ EGA = £ZA f EDELF(T,DNA)

3 SGA = SZA + DELS I HGA = EGA + 100*P/ONA

5 0HGA3 = HGB - HGA i OSGAB = SGB - SGA

6 QAH = QB + 0HLA8 - OHS AB $ QAS = T»(QB/TB OSLAB - DSGA8)

8 DELTAF = ABS(QAH-QAS) $ RETURN

9 DELTAF = l.QE+100 S RETURN $ END

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Appendix C Cent I nued

FUNCTION DENLIQF(T)

FOR NITROGEN TRIFLUORIOE, RDG/N8S, 1/23/79.

OEN = OCRT YNL*(X + (XE-X)*Y), YNL = OTRP - DCRT.

Y = A1 A2*X A3*X2 4- A4*X3.

COMMON/5/ OOSOT

DIMENSION AW(4)

DATA (NFL=4) , (EL=0.35)

DATA (DCRT= 7, 92) , (DTRP = 26. 2G) t (TTRP = 66. 36) , (TCRT = 233. 90

)

DATA(AW = 0.740994164, 0.129520773, -0.021108622, -0.096307220)

1 FORMATdHO 9X *DENLIQF = 0, T EXCEEDS TCRT. * / ) 2 IF(TCRT-T) 3,4,5

3 PRINT 1 $ STOP

4 DENLIQF = OCRT $ OOSDT = -I.OE+IO S RETURN

5 XN=TCRT-TTRP S X= (TCRT-T) /XN $ X2 = X^X $ DXDT = -l.O/XN

6 XE = X**EL $ Y=XE-X $ VI = EL*XE/X - 1

8 Y = AW(1) 4- AW(2)*X 4- AW(3)*X2 4- AW(4)*X*X2

9 Y1 = AW(2) 4- 2*AW(3)*X 4- 3*AWC4)*X2 $ YNL = OTRP - OCRT

11 DENLIQF = DCRT 4- YNL»( X 4- V*Y)

12 ODSDT = YNL*(1 4- V*Y1 4- Vl*Y)*DXOT $ RETURN $ END

FUNCTION EOELF(T,D)

CHANGE OF E,S ON ISOTHERM T FROM OEN = 0 TO OEN = D.

USE VIRIAL EQNSTATE. NOTE DCZ = 7.92 FOR NF3.

DELE = EDELF = -R* ( D/DCZ) *T *T • 00 ( T ) /DT

,

DELS = -R*LN( D*R*T/P1) - R* ( O/OC Z) ( B ( T )

4- T440B(T)/0T).

COMMON/1/ TA,TB,PB,Q0, DELH,DELS

COMMCN/9/ PZIP, BZ, OBZOT, DPZOT, DZOO

DATA (Q=l. 01325) , (R=0, 0 8 31450) , (0CZ = 7.92)

1 Z = ZIPF(T,0) i EDELF = -1 OO^R* ( O/OCZ ) T*T*0BZDT

2 GELS = ALOG<D»R*T/Q) 4- (D/DCZ)*(BZ 4- T*08ZDT)

9 DELS = -100*R»OELS $ RETURN $ END

SUBROUTINE IDEAL

C NITROGEN TRIFLUORIOE IDEAL GAS FUNCTIONS, R.D.G., 1/23/79.

C CPZ/R = 4 4- (A1 4- A2/X 4- A3/X2 4- , , )*EXP(-E/X), X = T/100.

COMMON/99/ TI,EZZ, EZ,3Z,CVZ, HZ,CPZ

DIMENSION A{5)

DATA (NF=5) , {£=8.76) , (R=8. 3145)

DAT A (A = 6. 11897 24, 48. 16 26 88, 228. 231405, -2 49. 067052, 56 4. 2930 45)

1 NK = NF B XI = Tl/lOO $ XP = EXP(-E/XI)

2 CP = 4.0 5 DO 3 K=1,NK

3 CP = CP 4- A(K)*XP*XI»»(1-K)

4 SI = 4 .184*62. 378/R $ HI = 41 84 . 0* ( 0 . 0 244-2 . 8 32 ) /3 0 0 /R

C NUMERICAL INTEGRATION FOR HZ/R, SZ/R - 5H = S = Q $ N = ABS( TI-3 00 ) /2 4-2 $ DX = (Xl-3)/N

6 DO 10 J=1,N 5 X = 3. 0

4- (J-0.5)*DX $ XP = EXP(-E/X)

7 CPX = 4.0 B DO 8 K=1,NK

8 CPX = CPX 4- A (K) *XP* X** (1-K)

9 H = H 4- CPX*DX B S = S 4- CPX*OX/X

10 CONTINUE 5 H = (HI*3 f H)/XI S S = SI 4- S

C CONVERT TO oOULES, MOLES, KELVINS.

11 HZ = R*TI*-4 B EZ = HZ - R*TI $ SZ = R*S

12 CPZ = R*CF B CVZ = C PZ - R B RETURN B END

174
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Appendix C Continued

FUNCTION FINOENF(T,P)

C GIVEN P,T IN VIRIAL EQN SOLVE QUADRATIC FOR DEN, MOL/L.

C USE VIRIAL EQNSTATE. NOTE OCZ = 7.92 FOR NF3.

DATA (0CRT=7. 92) , (TCRT=234.0 ), (R=0. 083145)

DATA (31 = 0.4 93 82731) , (82 = - 1. 30972686), (B3 = -0.3 898 3811)

1 X = T/TCRT $ a = B1 + B2/X B3/X/X/X

2 Q = SQRTd.O f 4*P*B/R/T/0CRT)

3 FINOENF = DCRT*(Q-1) /2/B S RETURN $ END

FUNCTION PSATF(T)

FOR NITROGEN TRIFLUORIOE, RDG/NBS, 1/23/79.

LN(P) = PI P2*U + (P3 + P4*X + P5*X2 + . . ) ( 1-X ) EPP

.

WHERE, X = T/TCRT, U E (1-1/X).

C0HM0N/3/0PDT,D2P0T2 ,OPSDT,OPMDT,DPDO,DPOR,OTSDR,OTHOR

DIMENSION PJ(4)

DATA (NFP=4) , (EPP=1.95 ) , (T CRT= 233.90

)

OATA(PJ = 3.81146639, 6.28921982, -1.95516249, 4.51743327)

1 FORMATdHO 9X *T ABOVE TCRT IN PSATF(T). * / ) 2 X = T/TCRT 3X2 = X*X t X IT = 1.0/TCRT

3 U = l.G - 1/X 5 UlT = 1.0/X/T

4 V = 1.0 - X 5 IF(V) 7,8,9

7 PRINT 1 $ STOP

8 Z = Z1 = a S GO TO 10

9 Z = V**EPP $ Z1 = -EPP»Z/V

10 S = SI = 0 i DO 13 K=3,NFP $ L = K-3 S XL = X»*L

12 S = S + PJ(K)*XL I SI = SI L*PJ(K)»XL/X

13 CONTINUE

14 PL = PJ(1) f PJ(2)*U I- S*Z

15 PLIT = PJ(2)*U1T (S*Z1 + S1*Z)*X1T

16 PSATF = EXP(PL) $ DPSDT = PLIT^PSATF $ RETURN $ END

FUNCTION QVAPXF(T)

NF3 AEROJET FORMULA, J/MOL.

DATA (EM = 0.354),(EN=0. 456) , (TC=233.9)

DATA (A=3323.72) , (B=62G.265)

1 X = l.C - T/TC S Q = A*X»»EM f B*X*»EN

2 QVAPXF = 4.184*0 S RETURN $ END

FUNCTION ZIPF(T,D)

ISOBUTANE VIRIAL EQN., R.D.G., SEPT., 1978.

critical CONSTS. for NF3.

Z(T,D) = 1 f B(X)*S, X E T/TCRT, S E DEN/OCRT.

B(X) = B1 + B2/X + B3/X3. DEN IN MOL/L.

COMMON/9/ PZIP, BZ, D3Z0T, DPZOT, DZDD

DATA (CCRT=7.92) ,(TCRT=234.0), (R=0.083145)

DATA (31=0.49382731),(32=-1.30972686),<B3=-Q.38983811)

1 S = D/OCRT $ X = T/TCRT S X2 = X*X $ X3 = X*X2

2 BZ = B = Bl + B2/X + B3/X3

3 ZIPF = 1.0 + 3*S 5 PZIP = D*R*T*ZIPF

4 03ZDT = -(32/X2 3* B3 /X/X 3) /TCRT $ OZDO = 8/DCRT

5 DPZOT = 0*R* ( S*T*08Z0T + ZIPF) S RETURN $ END

175
o

oo

APPENDIX D: Computer Programs (BWR Equation)

PROGRAM C OMPAR( IN PUTf OUTPUT, PUNCH)

READS P,T, DENSITY, ENTHALPY, ENTROPY, SPECIFIC HEATS, CALCULATES SAME

FROM BHR EQN AND COMPARES VALUES

PROCESSES ONE POINT AT A TIME, BLANK CARO AT END OF RUN EXCEPT END

COMMON F,Y,NFUN,RESS

COMMON/HJM/ EPSI,CPCV,RRR,AKT

COMMON/CRIT/ EM, EOK, RM, TC, DC, X , PC, SIG

C0MM0N/14/TL,DWK,PSIG,T0HG,BHMH,TBRH,PH,PBAR,PDm6,PL0AD,TUBN

C0MM0N/15/TVALVE

C0MMON/lb/TB8,P8B,OP8OT, VB,DV80T

COMMON/17/ IPRINT

COMMON/G/ RG

dimension ET(10),HI(4) ,CLK(10) ,ID<4) ,TT(10) ,HE(4) ,K0f4)

DIMENSION F(40)

CALL DATANF3

DTP=26,32

P=0.0000016B $ T-66.350

H0=ENTHAL (P,DTP,T)

1 READ 2,P,T,RG,HG,SG,CVG,CPG

2 FORMATIF10.4,F10. 3,F11.4,F 9 .1 , F 10. 3, F 10 . 2,F 10 . 2)

IF(T.EO.O) GO TO 4

P*P/1. 01325 $ RBWRsFINDO<P, T)

HBHR=ENTHAL< P,RBHR,T)-H0

SBHR=ENTROPIRBWR,T)

CVBWR=CV(RBHR,T) $ CPBMR=CP <RBHR,T)

DR=(R8MR-RG)*100/RG f DHsHBMR-HG

DS=SBWR-SG S DCV=CCVBWR-CVG) 100/CVG $ DCP= <CPBWR-CPG) *1 0 0/CPG

P=P*1. 01325

V=1.0/RG

C PRINT 6,P,T, V,HBHR,S3WR

6 FORMATC2F10.3,F9.1,F9.3)

PRINT 3,P,T,V,OR,OH,OS,DCV,DCP

3 FORMAT(2F10.1,E13.4,F8.3,F9.1,F9.3,2F8.2)

PUNCH 7,P,T,OR,OH,OS,OCV,OCP

7 FORMAT(2F10.1,F8.3,F9.1,F9. 3,2F8.2)

GO TO 1 4 CONTINUE

CALL EXIT

END

subroutine DATANF3

C PARAMETERS FOR NITROGEN TRIFLUORIDE

DIMENSION G(32) ,VP(9) ,GI(11)

dimension GVC9) ,GT(9) ,FV(4) ,FT(4) ,EV(8) ,ET(8)

COMMON/CRIT/ EM, EOK, RM, TC, DC, X , PC, SIG

COMMON/OATAl/GV,GT,FV,FT,EV, £T

COMMON/SEN/BETA, XO, DELTA, El, E2, AGAM

COMMON/OATA/G,R,GAMMA,VP,OTP

COMMON/CPID/GI

COMMON/ISP/N,NW,NWW

NWW>D $ N-0 S NH-1

TC=234.0 $ EM=71.Q19 f OC=0.5625

PC»44. 607/1. 01325 $ G AMMA *-0. 0 0 56

T0=l03.0 S H0=3334.6 $ S0=215.69

VP(1) =20. 315417602 S VP (2) =-8. 362069370

VPC3) =-21.398986401 S VP (4) = 20. 162194616

VP(5) =-6.91866272 7 $ VP ( 6) = 3 . 677 7993 76

VP (7)=1. 75

DTP=26.20

R=0. 0820568

G( 1) = .1751151116E-01

G< 2) = -.5338642406E^0O

176
Appendix D

. Cont i nued.

GC 3) = GC 4) = G( 5> - G( 6) : G( 7) = G( 8» = G( 9) = G(10) = G(ll» = G(12) - GC13) = G(14) = G(15> = G(16l - GU7I = G(18) = G(19) = G(20) = G(21) = GI22) = G<23l = G(24l = GC25) = G(26) = G(27) = G(28) - GC29I = G(30) = G(31) = G(32> = 0TP=26.32

RETURN $ END

SUBROUTINE PROPS! PP t OOf TT)

C CALCS P,OP/DRHO,OPOT, AND NECESSARY INTEGRALS FOR H»StG ETC

OIHENSION XI33)

DIMENSION B(33)«G(32)

EQUIVALENCE (BtXI

COHMON/DATA/GtR«G AMHA

COMMON/l/B

OATA(IO=l)

DATACIZ=1»

1 CONTINUE

IF(IZ.LE.O»GO TO 2

IZ*0

2 CONTINUE

D=DD

P = PP

TsTT

GMsGAHMA

02 = 0*0

03=02*0

04=03*0

05=04*0

06=05*0

07=06*0

08=07*0

09=08*0

010=09*0

011 = 010*0

012 = 011*0

013=012*0

.3924633078E*01

-.5141353757E*I33

*.3243348520E*05

-•5912181013E»03

•9096990477E*00

-.4785568295E*03

>.4180501052E*07

-.9695778991E-05

•5361200088E-01

-.1443265236E«-02

-.3322161796E-02

.2764741771E*00

•8324982578E+01

-•1307102346E-01

•1851077599E-03

.2920941516E*00

-.6918309272E-02

• 4308730236E4-07

-•1096864087E*08

•2380327276E*05

•3137563559E*07

•6086206849E*02

•4205136659E^02

•1076337320E*00

-.3297262333E+02

• 8485003350E-04

.1224321948E-02

• 1269404637E*06

-.8824183840E-06

•3309207594E-04

177
oo

o

Appendix D

. Continued.

TSsSQRT (T»

T2*T*T

T3=T2*T

T4*T3*T

T5=T4*T

FsEXP (GM*D2)

GO TO (I00«200t300t400«500t600f700> fK

ENTRY PRESS

C ENTRY FOR PRESSUREt INPUT IS DENSITY

C AND TEHP. IN MOL/L AND K, OUTPUT IS IN ATM.

K*1

GO TO t 100 CONTINUE

B( 1I=02*T

B( 2)=02*TS

B( 3)=02

BC 4)s02/T

BC 5)=D2/T2

B( 6>s03*T

B( 7) =03

B( 8I=D3/T

BC 9»=D3/T2

BCIO) =04»T

BCll) =04

Bfl2»=04/T

B(13»=D5

BC14) =D6/T

BC 15) =06/T2

BC16) =07/T

BC17) =D8/T

BC18)=08/T2

BC19)=D9/T2

BC20) =D3*F/T2

BC21) =03*F/T3

BC22)»05*F/T2

8C23) =D5*F/T4

BC24) =D7*F/T2

BC25)=07*F/T3

BC26)=09*F/T2

BC27) =D9*F/T4

BC28) =011*F/T2

BC29) =D11*F/T3

BC30)=013*F/T2

BC31) =D13»F/T3

BC32) =D13*F/T4

IF CID.GT.O)GO TO 102

BC33)=P-R*D*T

RETURN

102 P=0

M = 32

DO 101 I*1»M

101 P=P+BCI)*G(I)

P = P*-R*D*T

PP = P

RETURN

ENTRY DPOD

PARTIAL OF PRESSURE WITH RESPECT TO

DENSITY - SEE PRESSURE

ENTRY FOR UNITS

K = 2

GO TO 1 200 CONTINUE

Fl=2. 00*F*GM*D

F21=3.000*F*02 Fl»03

F22=5.000*F*D4 fFl^OS

F23=7.000*F*D6 Fl*07

178
oo

o

Appendix D

. Continued.

F24=9.000*F*D8 fFl^Og

F25=11.00*F*010+F1*011

F26=13.00*F*012>F 1*013

B( 1)=2.00*0*T

BC 2)=2.00*D*TS

B( 3)=2.00*D

B( 4)=2.00*O/T

B( 5)=2.00*D/T2

BC 6)=3.00*D2*T

BC 71=3.00*02

BC 8)=3.00*02/T

BC 9) =3.00*02/T2

BCIOI =4.00*03*T

BC11)=4. 00*03

BC12» =4.00*D3/T

BC13) =5.00*04

BC14I =6.00*05/T

BC15) =6.00*05/12

BC16)=7.00*06/T

BC17) =8.00*D7/T

BC18) =8.00*07/12

BC19>=9.00*08/T2

8C20) =F21/T2

BC21) =F21/T3

BC22) =F22/T2

BC23)=F22/T4

BC24)=F23/T2

BC25) =F23/T3

BC26>=F24/T2

BC27) =F24/T4

BC28) SF25/T2

BC29) =F25/T3

BC30»=F26/T2

BC31) =F26/T3

BC32)=F26/T4

M = 32

IFCIO.GT.O)GO TO 202

BC33) =P-R»T

RETURN

202 P=0

00 201 I=1»H

201 P = P-»-BCI)*GCI)

Psp4.R*T

PP=P

RETURN

ENTRY OPOT

PARTIAL OF PRESSURE KITH RESPECT

TO TEMPERATURE - SEE PRESSURE

ENTRY FOR UNITS

K = 3

GO TO 1 300 CONTINUE

XC 1)=D2

XC 2) =02/(2.00*TS)

XC 3>=0

XC 4)=-02/T2

XC 5) =-2. 00*02/T3

XC 6) =03

XC 71=0

XC 8)=-D3/T2

XC 9)=-2.00*03/T3

XC 10) =04

XC11)=0

XC12)=-D4/T2

179
Appendix D

. Cont i nued.

XC13)=0

X(14) =-D6/T2

X(15)=-2.00*D6/T3

XC16I S-D7/T2

X(17)=-08/T2

X(18) s-2.00*D8/T3

XU9I=-2.00*D9/T3

X(20J =-2.00*03*F/T3

X(21)=-3.00*D3*F/T4

X(22» =-2.00*05*F/T3

X(23)=-4,00*05*F/T5

... X<2‘»»=-2.00*Q7*F/T3

XC25) s-3.00*07*F/T4

XI26»=-2.00*D9*F/T3

XI27)=-4,00*D9*F/T5

X(28) s-2.00*Dll»F/T3

X(29l =-3.00*Dll*F/T4

XC30I s-2.00*D13*F/T3

X(31)=-3.00*013*F/T4

XC32)s-4.00*Dl3*F/T5

IFIIO.GT.OIGO TO 302

XI33) =PP-R*0

RETURN

332 P=0

DO 301 I-l«32

301 PaP*GCI)*X(n

PPsP4R*o

RETURN

ENTRY DSON

C PARTIAL OF ENTROPY WITH

C RESPECT TO THE G COEFFICIENTS

K = 4

GO TO I 400 CONTINUE

C S=SO-R*LOGF<D*R*T/Pfl)f(OSONIO)-OSONIOI)*l01.325

GlsF/ (2.00*GM)

G2»CF*02-2*00*G1) /( 2,00»GM)

G3s|F*04-4.00*G2) /<2.00*GM)

G4sCF*06-6.00*G3)/l 2.00*GM)

G5=(F*08-8.00*G4) /C2.00*GM)

G6=(F*D10-10.00*G5)/{2.00*GM)

X< 1)=-D

X< 2»=-D/(2.00*TS)

X( 31=0.00

XC 4)*4^0/T2

X( 5)=2.00*0/T3

X( 6IS-D2/2.00

X( 7)=0.D0

X( 8) *D2/(2. 0fl*T2>

X< 9)=D2/T3

X<10) S-D3/3.00

XC11)=0.D0

XC12)=03/ C3.00»T2)

X(13) =0.00

X(14» =05/15. 00*T2)

X(15l= 2.00*05/ (5. 00*T3)

XC16) =06/ (6.00*T2)

X(17) =07/(7. 00*T2)

X (18) =2.30*07/(7. 00*T3)

X(19) =08/(4. 00*T3)

X(20)=2.00*G1/T3

X(21) =3.00*G1/T4

X(22)=2.00*G2/T3

XC23)=4.00*G2/T5

X(24)=2.00*G3/T3

X(25) =3.00*G3/T4

fCPOS(T)

180

i
Appendix D. Con t I nued .

X(26) =2.00*G4/T3

XC27I =4.00*G4/T5

X(28) =2.00*G5/T3

X(29)=3.00*G5/T4

XC30)=2,Oa*G6/T3

X«31»=3.00*G6/T4

X<32)s4.00*G6/T5

IFdO.GT.OIGO TO 402

RETURN

402 P=0

00 401 1*1*32

401 P*P+G(I)*XCI)

PP = P

RETURN

ENTRY OUON

C TERMS NEEDED FOR ENTHALPY CALCULATION

K = 5 GO TO 1 500 CONTINUE

C H=H04-IT»OSON(0) -OSON(On*101.32 5^IOUONCD-OUONIC) ) *10 1 .325 + CPOH C T)

C +(P/D-R*T)*101.325

G1=F/ (2. 00*GM)

G2=<F*02-2.00*G1) /(2.00*GM)

G3=IF*04-4,00*G2)/(2.0fl*GM»

G4=(F*D6-6.00*G3) /(2.0fl*GM)

G5 *« F* 08-8. 0 0*G4) /( 2.0 0*GM)

G6*CF»010-10.00*G5)/(2.00*GM)

XC l)sO*T

X( 2)=0*TS

X( 3)=0

XC 4I*D/T

X( 5)=0/T2

XC 6)*D2*T/2.00

XC 71*02/2.00

XC 8) =02/ C2.00*T)

XC 9) =D2/C2.00*T2)

X CIO) =03*T/3.00

XCll) =03/3.00

XC12) =03/C3.00*T)

X C13) =04/4.00

X C14) =05/ (5. 00*T)

XC15) =05/C5.00*T2>

X C16) =06/ (6.00*T)

XC17) =07/ C7.00*T)

XC18)=D7/C7.00*T2)

XC19) =08/18. 00*T2)

XC20) =G1/T2

X C21) =G1/T3

X C22) =G2/T2

XC23) =G2/T4

XC24)=G3/T2

X C25) =G3/T3

X C26) =G4/T2

XC27) =G4/T4

XC28)=G5/T2

XC29)=G5/T3

XC30) =G6/T2

XC31) =G6/T3

XC32) =G6/T4

IFdO.GT.OIGO TO 502

RETURN

502 P = 0 DO 501 1=1*32

501 P = P«-GCII*XCI)

181
Appendix D. Continued.

PP=P

RETURN

ENTRY TDSOT

C TEMP. TIMES THE PARTIAL OF

C ENTROPY WITH RESPECT TO TEMP.

K = 6

GO TO 1 600 CONTINUE

C CV = CVO*-(TOSON(/)-TOSONCO) )*101.325

G1=F/ (2.00*GM)

G2slF*02-2.00*Gl) /<2.00*GM»

G3 = «F*04-4.0 0*G2I /<2.00*GM)

G4a|F*D6-6.00*G3)/C2.00*GM)

G5s(F*D8-8.00*G4) /C2.00*GMI

G6aCF*Dl0-10.00*G5)/C2.00*GMJ

X(1)=0

X( 2»=-D/«4.00*TS

)

X(3>=0

X( 4)a2.00*0/T2

X( 5)a6.00*0/T3

X(6laQ

X(7)=0

XI 8)sD2/T2

X( 9) =3.00*02/T3

XllOl aQ

XI11)=0

X(12)sC 2.00*03»/I3.00*T2)

XI13) =0

X(14) =12. 00*05) /I5.00*T2)

X(15)=(6.00*D5)/(5.00*T3>

X(16)aD6/l3.0fl*T2)

XI 17) =( 2.fl0*07)/l7. 00*T2)

X(18)=(6.00*D7)/I7. 00*T3)

X(19)=(3.00*D8)/(4.00*T3)

XC2fl)=6.0C0*Gl/T3

XI21)=12.00*G1/T4

XC22) s6.000*G2/T3

X 1231=20. 00*G2/T5

XI24) =6.000*G3/T3

XI25) =12.00*G3/T4

X 126) =6.000*G4/T3

XC27)=20.00*G4/T5

XI28) =6.000*G5/T3

XI29)=12.00*G5/T4

XI30) =6.000*G6/T3

XI31)=12.00*G6/T4

X(32)=20.00*G6/T5

IFCID.GT.OGO TO 602

RETURN

602 P=0

DO 601 1=1*32

601 P=P*G(I)*XII)

PP = P RETURN

ENTRY DP202

C SECOND PARTIAL OF PRESSURE WITH

C RESPECT TO DENSITY SQUARED

K=7

GO TO 1 700 CONTINUE

F1=2.*F*GM*D

F12=2.*Fl*GM*Df2.*F*GM

F212 = 3.*F1*D2 + 3.*2.*0*F«-F12*03^F1*3.*02

F222 = 5.*F1*04 +5. *4 .*03*F <-5 . *04*F l^F 12* 05

F232=7.*F1*06*7.*6.*D5*F+7.*06*F1+F12*07

F242=9. *Fl*D8«-9.*8. *07*Ff9. *08*F1 fF12*09

182
Appendix D

. Continued.

F252=11.*F1*O1O+1O,*11.*O9*F+U,*O10»F1^F12*O11

F262el3,*Fl*Dl2+l

B<1)=2.*T $BC2)=

B(4)=2./T S B(5

B(7)=6.*D S B(8

BCIOI =12.*02»T %

B(13)s20.*03 $

BI16) *42. *D5/T t

B C19)*72.»07/T2

BI22)*F222/T2

BC23)=F222/T4 S

B(26»=F242/T2 $

B(29» *F252/T3 $

BC32)sF262/T4

M = 32

3.*12.^011*F^13.*D12*F1^F12*013

2.*TS $ B«3)=2.

>*2./T2 $ 3C6I*6.*D*T

)*6.*0/T t B(9)=6.»D/T2

B(11)=12.*02 S B(12>*12,*D2/T

B(14)*30.*04/T S BC15>=30.»D4/T2

B(17l*56.*D6/T S B (I 8 » *56. *06/72

$ B(20)*F212/T2 $ BC21) *F212/T3

Bf24»=F232/T2 S

B«27)*F242/T4 $

B(30)*F262/T2 t

BC25I=F232/T3

B(28»*F252/T2

BC31)*F262/T3

IF<ID.GT. 0)60 TO 702

' B(33) =PP

RETURN

702 P*0

00 701 I=1#M

701 P*P4-B(I)*GII)

PP*P

RETURN

ENO

FUNCTION OPOTVPCT)

C VAPOR PRESSURE OP/OT

DIMENSION 6132) fVP(9)

C0HH0N/0ATA/6«R«6AMHAtVP

COHMON/CRIT/ EM, EOK, RH, TC, DC* X , PC* SIG

T2*T+0.001 $ P2*VPN(T2)

T1=T-0.001 $ P1=VPN<T1)

OPOTVP* (P2-PD/0. C02

RETURN % END

FUNCTION VPNIT)

C VAPOR PRESSURE IN ATM

DIMENSION G(32)*VP(9)

COMMON/ DA TA/G*R*GAMMA* VP

COMMON/CRIT/ EM* EOK* RM* TC* DC* X * PC* SIG

VP(1)*20. 315417602 $ VP ( 2) * -8 . 36206937

0

VP(3)*-21. 398986401 $ VP(4) *20. 162194616

VP C5)=-6. 918662727 S VP (6 )= 3 . 6777993 76

VP(7)=1.75

TC*234.0

IF(T.GT.TC) 18*19

18 VPN*PC+(1. 245/1. 01325)*(T-TC)

PRINT 30

30 FORMATdH *T GREATER THAN TC* VP EXTENSION USED*)

GO TO 17

19 CONTINUE

X*T/TC

P=VP(1) «-VPI2)/XfVP<3)*XfVP(4)*X**2fVP(5 )*X**3fVPI6) *X* ( 1. C- X) **VP

1 (7)

VPNsEXP(P)/!. 01325

17 CONTINUE

- , RETURN S END

183
oooo

ooo

ooooo

Appendix D. Continued.

FUNCTION FIND D<P.T)

DIMENSION G(32) *VPI9I

COHMON/OATA/GtR«GAHMAtVP« OTP

COMMON/CRIT/ EM ,EOK* RM , TC ,DC ,XX , PC , SIG

COMMON/G/ RG

ITTERATES EQUATION OF STATE

FOR DENSITY, GIVEN PRESSURE

AND TEMP. IN ATM. AND KELVIN. IF

ITTERATION FAILS TRY USING

FUNCTION CALLED FIND H

TT = T IF(TT.GT.TC) GO TO 100

IF( P.GT. VPNCTT »)GO TO 101

X=P*( .8-1.) /PC+1.0

00=P/<R*T»X)

GO TO 102

100 Xs<l. 1/(9. •PC))*P+. 7/9.

DO=P/(R*T*X»

IF(P/PC.GT.20..ANO.T/ TC . LT. 2 . 51 ODsDTP

GO TO 102

101 DDsOTP

102 CONTINUE

DO 10 1^1,50

CALL PRESSIPP,DO,TT)

P2 = PP

IF(ABS (P-P2) -l.E-7*P) 20,20 ,1

1 CALL OPOO(PP,DD,TT)

DPsPP

C0RR= (P2-PI /DP

D=DO

IF(ABS(CORR)-0. 00005*0) 20,20,10

10 OD=DD-CORR

FIND D=0

RETURN

20 FIND DsOD

IF(D.LT.O) 25,26

25 DD=RG

GO TO 102

26 CONTINUE

RETURN

END

FUNCTION CV(D,T)

CALCULATES SPECIFIC HEAT CAPACITY

AT CONSTANT VOLUME FOR AN INPUT

OF DENSITY AND TEMPERATURE IN MOL/L AND K

DATA(R=8. 31434)

DD = D TT=T

CALL TDSDT(CO,DD, TT)

DD>0

CALL TDSOT(CO,DO,TT)

CV=CPI(TT)+( CO-CD) *10 1.325

CV=CV-R

RETURN

END

FUNCTION CP(0,T)

CALCULATES SPECIFIC HEAT CAPACITY

AT CONSTANT PRESSURE FOR INPUT OF

DENSITY AND TEMPERATURE IN MOL/L AND K

CP IS IN JOULES/MOL-K

184
OOOCJ

oooo

oooo

Appendix D. Continued.

CVEEsC\/<D,Tl

CALL DPDT(OPT,OtT)

CALL DP0D<DP0,0,n

CP=CVEE^<T/<D»*2I •(aPT**2)/OPOI*101*325

RETURN

END

FUNCTION ENTHAL (Pf DtT)

CALCULATES ENTHALPY FOR INPUT OF

PRESSURE, DENSITY AND TEMP. IN

ATM., MOL/L AND K. OUTPUT IS IN

JOULES/MOL

R=0. 0820568

DD = D TTsT

CALL DSON(SD,OD,TT)

CALL DUON (UO,00,TT)

DD = 0 CALL OSQN(SO,OD,TT)

CALL OUON(U0,OO,TT)

CALL HI(HSI,TI

ENTHALsT* {SD-S0)*101. 325flUO-U0)*101.325f MSI f < P/0-R*T ) • 10 1 . 325

RETURN

END

FUNCTION ENTROP(D,T)

CALCULATES ENTROPY

FOR AN INPUT OF DENSITY AND

TEMP. IN MOL/L AND K. OUTPUT IS IN

JOULES/MOL-K

R=0. 0820568

00=0

TT = T CALL OSON(SD,OD,TT)

00 = 0 CALL OSON(SO,OD,TT)

CALL SI(HSI,T)

ENTROP=(SD-SO» *101.325-R*ALOG«0*R*TI*101.325«-HSI

RETURN

END

FUNCTION SOUNOCO,T)

CALCULATES THE SPEED OF SOUND

FOR AN INPUT OF DENSITY AND TEMP.

IN MOL/L AND KELVIN. OUTPUT IS IN

METERS/SECONO.

COMMON/CRIT/H

CALL DP0D(OP,0,T»

S0UND=( (CP(D,T) /CV(0,T) >*DP*101325./M)**.5

RETURN

END

FUNCTION CPKT)

C IDEAL GAS SPECIFIC HEAT, CP, IN J/MOL-K

DIMENSION Q«5)

0ATA(IQ<I),I=1,5) =6.1189724,48.162688,228. 231405,-249.067052,

185
Appendix D

. Cent i nued.

1 564,293045)

X=T/1C0.

CPI=0.0

DO 1 1=1,5

1 CPI=CPI+Q(I) X**(l-I)

CPI=(CPI*EXP(-8.76/X)+4.0)*8.31441

RETURN

END

SUBROUTINE HI(HSI,T)

C IDEAL GAS ENTHALPY IN J/MOL AND ENTROPY IN J/MOL-K

T0=100.0 $ H0=3334.6

DT=(T-T0)/50.0

HSI=H0

DO 1 1=1,50

CP=CPI{T0+(I-0,5) *DT)

1 HSI=HSI+CP*DT

RETURN

ENTRY SI

T0=100.

Q

DT=(T-T0)/50.0

HSI=215,69

DO 2 1=1,50

CP = CPI (TO «-CI-0. 5) *DT)

2 HSI = HSI4-CP*DT/(T0 (I-0.5)*OTI

RETURN

ENO

186
Appendix E. Explanations for Table Headings

In many tables we have included values of parameters, constants and

coefficients in the headings to ensure that correct values have been transcribed

into the manuscript. These include - Table 1 , EPP, exponent in eq. (1)

TTRP, triple-point temperature, K TCRT, critical-point temperature, K PTRP, triple-point pressure, bar

PORT, critical-point pressure, bar

DPSDT, vapor-pressure slope at the C.P., bar/K

list of coefficients, for eq. (1)

Table 2 , EL, exponent in eq. (2)

DTRP, triple-point liquid density, mol/L

DCRT, critical-point density, mol/L

list of coefficients for eq. (2)

Table 3 , EG, exponent in eq. (3),

EGX, exponent for last term in eq. (3)

DGAT, triple-point vapor density, mol/L

list of coefficients for eq. (3)

Table 4 , EV, highest exponent in eq. (5)

list of coefficients for eq. (5)

Table 6 TBLP, boiling-point temperature, K DGBP, vapor density at the B.P., mol/L

DLBP, liquid density at the B.P., mol/L

DPS/DTB, vapor-pressure slope at the B.P., bar/K

QVAPB, heat of vaporization at the B.P., kJ/mol

IX thru EP, non-linear parameters in eq. (6)

B1 thru C3, coefficients in eq. (6)

B,C are B(p), C(p) in eq. (6)

Table 7 TC, critical temperature, K DC, critical density, mol/L

PC, critical pressure, bar

DPS/DT, vapor pressure slope at the C.P, bar/K

DP/DT, slope of the critical isochore at the C.P., bar/K

Table 10 , NF, number of coefficients,

E, exponent in eq. (8),

QT, triple-Point heat of vaporization, kJ/mol

list of coefficients for eq. (8)

187
NBS-114A (REV. 9-78)

U.S. DEPT. OF COMM.

BIBLIOGRAPHIC DATA

SHEET

1. PUBLICATION OR REPORT NO. NBSIR 80-1632

3. feidjiiteitt's AcCft$s(oft No,

4. TITLE AND SUBTITLE

THERMOPHYSICAL PROPERTIES OF NITROGEN TRIFLUORIDE FROM 66 TO

500 K AT PRESSURES TO 500 BAR

5. Publication Date July 1980

7. AUTHOR(S)

Robert D. Goodwin and Lloyd A. Weber

8. Performing Organ. Report No.

9. PERFORMING ORGANIZATION NAME AND ADDRESS

NATIONAL BUREAU OF STANDARDS

DEPARTMENT OF COMMERCE

WASHINGTON, DC 20234

11. Contract/Grant No.

12. SPONSORING ORGANIZATION NAME AND COMPLETE ADDRESS ('Sfr«,«r. city, state, ZIP)

Air Force Weapons Laboratory (AFSC)

Klrtland Air Force Base, NM 87117

13. Type of Report & Period Covered

15. SUPPLEMENTARY NOTES

I I Document describes a computer program; SF-185, FIPS Software Summary, is attached.

16. ABSTRACT (A 200-word or leaa factual summary of moat significant information. If document includes a significant bibliography or

literature survey, mention it here.) Density and specific heat data for nitrogen tri fluoride have been measured in the

approximate ranges 90 < T < 320 K, 0.07 < p/Pq < 3, at pressures up to 300 bar.

These include vapor pressures, some orthobaric densities away from the critical

region, and specific heats in the single and two phase regions. A nonanalytic

equation of state is used to tabulate themophysical properties along isobars. The

tables include: compressibility factors, densities, enthalpies, entropies, heats of

vaporization, isochores, isotherms, Joule-Thomson inversion, orthobaric densities,

specific heats, speeds of sound, and vapor pressures. The data also are represented

by an analytic equation of state and comparisons are made between some results from

the two equations.

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)

Compressibility factors; densities; enthalpies; entropies; equation of state; heats

of vaporization; Isobars; Isochores; Isotherms; Joule-Thomson Inversion; nitrogen

trlfluorlde; orthobaric densities; specific heats; speeds of sound; vapor pressures

18. AVAILABILITY

1^1 For Official Distribution. Do Not Release to NTIS

I I Order From Sup. of Doc., U.S. Government Printing Office, Washington, DC

20402

I I Order From National Technical Information Service (NTIS), Springfield, VA. 22161

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UNCLASSIFIED

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