NBS

PUBLICATIONS

REFERENCE

NBSIR 86-3054

THE THERMODYNAMIC PROPERTIES OF

NITROGEN TETROXIDE

A111D2 Sb4bbD

NAri INST OF STANDARDS & TECH R.I.C.

All 102564660

D/The thermodynamic prop OCIOO U56 N0.86-3054 1906 VI 9 C.1 NBS-P Hooert u. McCarty

Hans-Ulrich Steurer

C.M. Daily

National Bureau of Standards

U.S. Department of Commerce

Boulder, Colorado 80303

July 1986

-QC

100

. U56

86-3054

1986

NBSIR 86-3054

NBS

RESEARCH

INFORMATION CENTER THE THERMODYNAMIC PROPERTIES OF

NITROGEN TETROXIDE

Robert D. McCarty

Hans-Ulrich Steurer

C.M. Daily

Thermophysics Division

Center for Chemical Engineering

National Engineering Laboratory

National Bureau of Standards

Boulder, Colorado 80303

July 1986

Sponsored by

NASA

John F. Kennedy Space Center, Florida 32899

(Final Report on NASA Contract CC-26848B)

U.S. DEPARTMENT OF COMMERCE, Malcolm Baldrige, Secretary

NATIONAL BUREAU OF STANDARDS, Ernest Ambler, Director

Contents

Page

1 . Introduction 1

2. Literature Search 1

3. N 2OH Dissociation 1

i). Vapor Pressure 2

5. Saturation Densities 2

6 . Conversion of P-p-T Data 3

7 . Equation of State for the Pure Components 7

8 . Mathematical Model of the Equation of State 9

9. Derived Thermodynamic Properties 11

10. Discussion 11

1 1 . Conclusions 11

12. Acknowledgments 11

13 . References 12 Appendix A 18 Appendix B 31 Appendix C 78

List of Tables

Table 1. Coefficients for eq (3) 2 Table 2. Coefficients for eq ( 6 ) 3 Table 3. Coefficients for eq (Ml) 10 Table 4. Critical Point Constraints 10 Table A1 . Comparison of Experimental and Calculated Densities Used in

Fitting eq (41 ) 19 Table A2. Comparison of Calculated Vapor Pressures and Input Data to eq (3) 28

Table A3. Comparison of Input and Calculated Saturated Liquid and Vapor

Densities From eq ( 6 ) 29

Table B1 . Isobaric Tables of N2 O 4 Properties Calculated With Equations

From This Work (SI Units) 32 Table B2. Isobaric Tables of N 2 O 4 Properties Calculated With Equations

From This Work (Engineering Units) 55 Table Cl. Computer Program Listings 79

List of Figures

Figure 1 . p-T Plot of Input Data 4

i i i
Nomenclature

a extent of reaction, eq (1)

8 extent of reaction, eq (2)

6 binary interaction coefficient

f fugacity

p density

Y nonlinear coefficient in eq (Ml

)

A arbitrary component, also B, C and D

a amount of arbitrary component, also b, <

P pressure

p partial pressure

R gas constant 0.00831 M3M MPa*dm3-mol _

1 »K'

T temperature

Z volume compressibility factor

x mole fraction

X reduced variables

Superscript

o ideal gas at 0.101325 MPa (1 atm)

Subscripts

o saturation

3 triple point

c critical point

L liquid

R ideal gas

v vapor

x mixture

i,j component

iv

and d

1
The Thermodynamic Properties of Nitrogen Tetroxide

Robert D. McCarty, Hans-Ulrich Steurer and C. M. Daily

Thermophysics Division

Center for Chemical Engineering

National Bureau of Standards

Boulder, Colorado 80303

A mathematical model of the equation of state of nitrogen tetroxide is presented.

Isobaric tables of P-p-T and composition for temperatures from the triple point

(261.95 K) to 600 K with pressures to 40 MPa are also given. The mathematical model of

the equation of state is a 32 term modified Benedict-Webb-Rubin equation. A method of

calculating chemical equilibrium for the system is also presented.

Key words: chemical equilibrium; composition; density; equation of state; nitrogen

tetroxide; pressure; temperature.

1 . Introduction

The thermodynamic properties of nitrogen tetroxide, hereafter referred to as N 2 O 4 , are of

interest in at least two major areas. The fluid is widely used as an oxidizer for small

rockets and as an agent in heat transfer problems. A search of the world's literature

revealed a substantial experimental data base but few correlations of those data, and the

correlations that do exist either cover only portions of the P-p-T surface or involve ideal

gas assumptions which, for a wide range of pressures and temperatures, result in substantial

inaccuracies. The National Bureau of Standards, under contract with NASA Kennedy Space

Center, undertook a study to produce a correlation of the thermodynamic properties of N 2O 4 based on the existing experimental data. The following is the final report on that study.

2. Literature Search

A computerized search of the world's literature produced 172 titles concerned with N 2 O 4

. On the basis of the titles alone, 98 of the 172 appeared to be of possible use in the study.

Copies of 62 of the selected references were eventually obtained. Many of these articles are

in Russian, in fact 75 of the original 98 selected are of Soviet origin, and copies of some of

the articles were difficult or impossible to obtain. A second selection process based on the

actual contents of the obtained articles reduced this number even further and

references [1-85] include all of the final selection plus those articles which could not be

obtained and therefore remain as a possible source of pertinent information. During the course of the second selection process and subsequent correlation, eleven additional articles

pertinent to the study were found. The literature search as described above provided an adequate experimental data base for the correlation of N 2 O 4 properties.

3. N 2 O 4 Dissociation

The fluid commonly referred to as N 2 O 4 is not pure N 2 O 4 , but is in reality a mixture of

N 2 O 4 , NO2 , NO, and O 2

. This condition is a result of the following reactions taking place:

n

2o4 ;± 2N0

2 (1)

2N0

2

;±r 2N0 + 0

2 The extent of these reactions depends on both pressure and temperature and therefor'- ' equilibrium concentration of the various components changes from state point to state point,.

The time it takes for equilibrium to occur when the state conditions are changed will n

•

1
addressed here, and only equilibrium conditions will be considered. Since the concentration

of the various components changes with pressure and temperature, a knowledge of the

composition at a given state point is necessary to construct an equation of state. The

necessity of composition information complicates any correlation attempt via a mathematical

model of the equation of state, and this problem will be discussed in the following sections.

P-p-T relations of the saturated liquid and vapor are also necessary for the construction of an equation of state. Thus pressure-temperature as well as density- temperature correlations

for the saturated liquid and vapor were developed.

4. Vapor Pressure

The chemical reactions described in the previous section have no affect on the dependence

of vapor pressure on temperature; therefore, methods previously used [ 86 ] on pure fluids were

used to produce a mathematical model of N 2O 4 vapor pressure as a function of temperature.

Analysis of the vapor pressure data found in the literature led to the selection of the data

reported by Giauque and Kemp [87] and Schlinger and Sage [ 88 ] to fit the function

in P = N

1 + N

2

x + N

3

x 2

+ N^x

3 + N^

4 + N

6

x (1 - X ) 1-5

(3)

where

X = (1 - T

tr /T)/(1 - Ttr /T

o

) (4)

and

T

£

r = 261.95 K (triple point temperature)

T c

= 431.372 K (critical point temperature)

The temperature is in kelvin and the vapor pressure is in megapascal. The coefficients to eq ( 3 ) are given in Table 1.

Table 1 . Coefficients for eq (3)

Ni = - 3.98267618 n 2

= 5.680987615 II

CO 4.725629483 x 10 N 4 = 1.036003737 x 10 _1 n

5

= 4.376388591 x 10 -2

n 6

= 3.674221706 x 10

5. Saturation Densities

When formulating a mathematical model of the equation of state of a fluid which is to be

a single function for both the liquid and vapor phases, the most difficult task is to get a good representation of the saturation boundary. Toward this end, the saturated liquid and

vapor densities were correlated independently as a function of temperature; these functions,

together with the vapor pressure equation described above, were used to define the saturation

boundary to be used later as input data to the final fit of the global equation of state model.

The data selected for the saturated density equations were those of Reamer and Sage [89] for

the liquid phase and Mittasch et al. [90] for the vapor phase. The equation for both the

liquid and the vapor is

P<r p c

+ (p

3 ' p c> (5)

2
where

(L-4

)

3 y

= A. S,n x

4E

L=2

(L-5)

.1 - X

9E

L=5

(1 - X ( 6 )

and

X

. (T - T

0 )/(T

tr

- T

c

)

Temperature is in kelvin, density is in kg/m3, T c and T tr are defined above by the vapor

pressure equation and the least squares coefficients are given in Table 2.

Table 2. Coefficients for eq (6)

Vapor Phase

Ai = -2.2660241266 x 10

A 2 = 4.3895751856 x 10

a

3 = -1 .3003886603

A 4

= 1 .9421 498376 x 10

A 1 A 2

a

3 An

a

5

-5.2151095219 x 10 1

8.3309705469 x 10~ 2

-2.5306505949

3.9880390339 x 10 1

-3.4384688608 x 1

0

2

p c

= 550.463 kg/m3

Liquid Phase

tr 0.772 kg/m3

a

5

= -1 .2654673246 x 10 :

A6 = 5.7529269561 x 10

a

7

= -1 .3606674467 x 10

A 8

= a

9

= 0.0

a6

= 2.1 307429701 x 10 :

a

7

= -9.621 9871 908 x 10

a 3

= 2.4246461 727 x 10

a

9 = -2.4096196971

Ptr

o 1518

The triple point densities in Table 2 were obtained by extrapolation of the experimental data

and the critical point density is from [ 88 ]. Comparisons between calculated and experimental

saturation properties are given in Tables Al through A3.

6 . Conversion of ?-p-T data

Experimental single phase P-p-T data from four sources, [34,79,88,89], and the P-p-T

values for the saturation boundary calculated from eqs ( 3 ) and ( 5 ) were used to define the

equation of state for N 2 O 4

. A fifth source of P-p-T data, [ 83 ]. was determined to be

inconsistent with the other four sources and was not used in the final least squares fit of

the mathematical model. Figure 1 is a plot of all P-p-T data used in the final least squares

fit. All of the densities in the P-p-T data mentioned were originally reported by the author

in mass density units (e.g., g/cm3). Because of the chemical reaction indicated by eqs 1 and (2), use of the P-p-T data as input to the least squares estimation of the adjustable

parameters of an equation of state which reduces to the ideal gas in the limit of zero density, requires the choice between one of two possible alternatives. The units of den it .
o

£

ui / 6^ R'j'isueg

4

Figure

1.

P-T

Plot

of

Input

Data,

x

from

[90],

from

[80],
may be left in absolute units, in which case the value of the gas constant, R, is a function

of the molecular mass, or the units of density may be changed to molar units (e.g., mol/L).

Both of the options require a knowledge of the molecular mass, which in turn is a function of

the changing composition. Very little information about the composition of the system at moderate and high densities was found in the search of the world's literature. The

composition of the system may be calculated via thermodynamics if the equation of state for

each of the pure components is known. In this particular case the equations of state for pure

N 2 O n and pure NO2 are not available since neither fluid exists in a pure state over the global

P-T range. Because of this, ideal gas assumptions are usually made which allow the

composition calculation to be performed. This procedure works reasonably well at low and even moderate densities but is grossly in error in the liquid region. For a reaction of the type

aA + bB = eC + dD (7)

the AG°, which is the ideal gas Gibbs free energy of reaction at 0.101325 MPa

K

1 atm) and the temperature of the system, may be calculated by

AG

R

= ° G?

+ dG

D

‘ aG

A

“ b°3 (8)

where the G° etc., are the ideal gas Gibbs free energies for the pure components at the same state conditions. In this case, the ideal gas Gibbs free energies are available in the literature; see, for example, [87,91,92]. Defining the extent of the reactions indicated

by eqs ( 1 ) and ( 2 ) as a and 8 , respectively, and starting with one mole of N 2 O 4 , the molar

amounts of the components are given by

2a - 2aB ( 10 )

NO

= 2aB (ID

and

The equilibrium constant is

aB

K

( 12 )

03)

For the type of reaction described by eq ( 8 ), the equilibrium constant may also be written as

K

f

cC

f dD

f aAf b

3

Cl ii

5
where the K is the same as in eq (13) and the f is the fugacity of the ith pure component.

The relation between fugacity and partial pressure is given by

f = Yp (15)

where Y is the fugacity coefficient. Assuming Y to be nearly 1 (ideal gas) then an approximation for K is given by

K

PCP

D

PAP

B

(16)

The partial pressure, by definition, is p

= x P, which may be expressed as

PMn = P(1-a)/(1+a+aB) , T)

(17)

PNQ = P(2a - 2aB)/(1 + a + aB

)

( 18 )

PNQ = P (2aB )/ ( 1 + a + aB) (19)

pQ

= P (aB ) / ( 1 + a + aB

)

( 20 )

where P is the total pressure of the system. The equilibrium constants for the two reactions

are then

and

K

4 a

2

(1 - S) 2

P eq ( 1 ) ( 1 + a + aB ) ( 1 " a)

(21 )

K eq (2)

B 3/2

a1/2

P 1/2

(1 + a + aB)

1/2

(1 " B)

( 22 )

Now returning to eq (14) and removing the ideal gas assumption made by eq (16) and

substituting p for f results in

K

c d

PCPD

P

A

P

B

Y

Y

d

D

bB

(23)

Equating eq (23) to eq (13) and solving for the right side of eq (16) results in

p

c PD

P

A

P

B —r = e

'AG° — a h ^ Y

3

Y b RT A 8

c d Y Y

C D

(24)

is available in the literature, and may be calculated provided equations of

K state for the pure components are available. Equilibrium constants calculated via eq (24) are

6
inated to eqs ( 21 ) and ( 22 ) to solve for a and 8 , which in turn gives the average

i » leeular mass of the system at a given P and T by

M = M /(I + a + aB) . (25)

2 4

[ . Equation of State for the Pure Components

The procedure for determining the average molecular mass as outlined above requires the

fugacity of the pure components of the mixture, and since neither N 2O 4 nor NO 2 exists as a pure fluid, a generalized equation of state proposed by Peng and Robinson [93] was used for

N 2 O 4 and NO2. The Peng-Robinson equation of state is a two parameter equation of state of the

form

p = RT am

v - b v(v + b) + b(v - b)

which can be written as a cubic as

(26)

(1 - B)Z

2

+ (A - 3B - 2B)Z - (AB - B‘ B

3

) = (27)

where

_ a(T)P

R

2 2

R T (28)

B

bPRT (29)

and

At the critical point,

a(T)

2 2

R T 0.45724 ——2 f c

RT

b = 0.07780 p-2 , c

and

z

c

= 0.307 .

At temperatures other than the critical temperature,

a(T) = a(T ) f(T , W)

(30)

(31 )

(32)

(33)

(34)

where

f(T

r

, W ) 1/2

= 1 + k(1 - T^

72

) (35)

7
k = 0.37^64 + 154226W (36) - 0.26993W2

with T = T/T and W is the acentric factor (i.e., -log ). Given the critical

r C 0 c T = 0.7

r pressure and temperature and the acentric factor, the fugacity coefficient of the ith

component in a mixture can be calculated from

in f.

i - in (Z x

- b ) - a in

x x

Z + 2.41 421

4

f_*

'Z - 0.41 421 4 x

b

x

b

x )(—

2 'fr\

2 Z x .a . . J J xj a

x x (37)

where

a

x £ £ x . x . i J a. . ij (38)

b

x £ X .1 b

.

l (39)

and

a . . ij

r

. 1/2 1/2

6 . . ) a . a.

ij i J (40)

The x^ is the mole fraction of component i and 6 jj is an empirical binary interaction

parameter .usually determined from experimental data. Since composition of the mixture is, in

this case, the unknown, the solution becomes an iterative one. An initial value is assigned

to the composition, usually obtained from the ideal gas solution; the extent of reaction is calculated which results in a new composition and the procedure is repeated until the

composition stops changing. The critical pressure, the critical temperature and the acentric

factor are all that is needed to carry out the composition calculation. These parameters were estimated by selecting 20 P-p-T data points for the liquid phase from [89], and 20 P-p-T data

points for the vapor phase from [35,79,90]. The high density liquid data points were assigned

a composition of pure N 2 O 4 , since Gray and Rathbone report only 0.12 percent disassociation of

the liquid at the normal boiling point. The low density data points were assigned a composition of the equilibrium ideal gas. The acentric factor of N 2O 4 (0.01 41 345) was assigned to NO 2 , .\G° was taken from the literature and the 5 was set equal to zero.

A nonlinear least squares minimization was then performed which minimized the sum of the

squares of the deviations between the calculated and the assigned compositions of the 40 selected data points. The pseudo critical parameters of the hypothetical pure N 2 O 4 and

parameters of tne hypothetical pure -^04 and NO 2 were taken as the adjustable parameters. The

least squares fit gave the following pseudo critical parameters:

N2O4

:

N02:

T c = 547.4567 K

P c

= 22.0951 MPa

T c

= 239.3036 K

P c

= 10.325 MPa

The critical parameters and acentric factors for the other components were taken to be:
NO: T c

= Pc =

W

02

: T c =

P C

= W

180.15 K 6.4848 MPa

0.0312 acentric factor

154.75 K 5.0764 MPa

0.0998 acentric factor

All of the P-p-T data selected to define the equation of state were converted to molar

densities via the method outlined above.

8 . Mathematical Model of the Equation of State

A 32 term modified Benedict-Webb-Rubin equation of state was used to represent the

equation of state of dissociated N 2 O 4

.

P = pRT + p 2 (N

1 T + N

2 T 1/2

+ N

3

+ N^/T + I^/T

2

) + p 3 (N

6 T + N

7

+ N

g /T + N

g /T

2

)

+ P

4 (N

1Q T + N n

+ N 12 /T) + P 5 (N

13

) + P 6 (N

14 /T + n

15 /t

2

)

+ p 7 (N

l 6 /T) + p 8 (N /T + N

18 /T

2

) + p 9 (N

ig

/T

2

)

2

+ e"

Yp

[p

3 (N

2 Q /T

2

+ N

21 /T 3

) + p 5 (N 22 /T

2

+ N

23 /T

4

)

p 7 (n 24 /t

2

+ n 25 /t 3

) + p 9 (N 25 /T

2

+ n

27 /t

4

) (41 )

p

11 (N

2 g/T

2

+ N

2 /T 3

) + p 13

(N 30 /T

2

+ N

31 /T 3 + N 32 /T

4 )]

Taking R = 0.00831 434 MPa*dm3«mol -

^ *K_1 and Y = -0 . 0069853*1 . a weighted least squares fit of

447 P-p-T data points was performed. The resulting coefficients to eq (41) are reported in Table 3. A comparison of the calculated and input densities and pressures is given in

Appendix A in Table A1 . Equation (41) was constrained to the critical point values given in Table 4.

9
Coefficients for eq (41 )

= 0.4597288295 X 10 1

= -0.3108186437 X 1o3

= 0.61 12269851 X 10 4

= -0.8731 1 0771

9

X 1 o

6

= 0.7131502732 X 10 8

= -0.8503143208 X 10 _1

= 0.1 445089748 X io3

= -0.8889859726 X 105

= -0.4972864114 X 1010

= 0.2981 1 77473 X 10“2

= -0.41581 72241 X 10 1

= 0.2034429885 X 10 4

= -0.468985641

0

X 10" 1

= 0.1588311135 X 1 o

2

= 0.3679927661 X 10 5

= -0.1540646223 X 10 1

= 0.4673519599 X 10 _1

= 0.7943347561 X 103

= -0.2363315312 X 10 2

= 0.4996063056 X 1010

= -0.2341513119 X 1010

= 0.3472302954 X 10 8

= -0.1096418697 X 10 10

= 0.1 1 38607202 X 10 6

= -0.8323163631 X 10 5

= 0.21 14987912 X 1o3

= 0.8381093548 X 10 5

= 0.2821 1 72947

= -0.3595116964 X 10 1

= 0.1 739254252 X 1 0~3

= 0.128011261

1

X 10 _1

= -0.8129759389

Table 3.

N(1 ) N(2)

N ( 3

)

N( 4

)

N(5)

N(6)

N(7)

N(8)

N ( 9

)

N( 1 0

)

N( 1 1 ) NO 2)

NO 3)

NO 4)

N ( 1 5

)

N ( 1 6 NO 7)

NO 8)

N ( 1 9

)

N( 20

)

N( 21 )

N( 22

)

N(23)

N( 24 N(25)

N( 26 N(27)

N(28)

N(29)

N(30)

N(31 ) N(32)

Table 4. Critical

T C Pc

Pc9P/Dp

3 2 P/3p 2 =

point constraints.

431 .372 K 10.1578 MPa 550.463 kg/m3

0.0

0.0

10
9 . Derived Thermodynamic Properties

In theory, if a valid equation of state exists for a fluid and the necessary ideal gas specific heat capacities exist, the derived thermodynamic properties such as the real gas enthalpies, entropies, etc. may be calculated. In the case of a chemically reacting fluid, a knowledge of the effects of the chemical reaction on these properties is also necessary. In

the case of reacting N 2O 4 , with the addition of eq (41), all of the necessary pieces to the

calculation are available. The thermodynamic equations for these calculations are well known

and may be found in many text books as well as in the world's literature; see, for example,

Stai et al. [94]. There are many papers in the literature which report experimental specific

heat capacities, enthalpies, and the velocity of sound for N 2 O 4 ; see, for example, [31,65,95].

Equation (41) was used to calculate specific heat capacities which were compared to the

experimental values found in the literature. The agreement was not good. Differences on the

average of 30 to 50 percent were encountered. On the basis of these comparisons, derived

properties were omitted from the property tables in Appendix B.

10. Discussion

In the initial stages of this investigation, least squares fits of eq (41) using the

P-p-T data from the literature without regard to composition were unsuccessful. Even though

eq (41) has 32 adjustable parameters, and therefore a good deal of flexibility, the fits to the unconverted data were not satisfactory. The gas phase data, without the liquid phase

data, could be fit very well and vice versa, but when both liquid and gas data were included

in the fit, deviations in density of several percent were observed. After the experimental

densities were converted to molar densities via the method outline earlier in this paper, the

least squares fits to all of the data improved, and judging from the comparisons in

Appendix A, densities calculated with eq (41) are probably accurate to within 0.5 percent

except in the usual problem areas of the saturation boundary and the critical region.

However, as mentioned in the previous section, eq (41) does not calculate derived

thermodynamic properties which agree with measured data reported in the literature.

1 1 . Conclusions

Since the equation of state for N 2O 4 presented here does not perform well for derived

thermodynamic properties such as specific heat capacities, etc., the correlation of N 2 O 4 properties is only partially complete. This undoubtedly could be corrected by improving the

composition calculation. The composition calculation could be improved by including specific

heat capacity data with the P-p-T data as input to the fitting procedure of the Peng-Robinson

equation of state for the hypothetical pure N 2 O 4 and NO 2 fluids. However, this is a new and

untried technique, and although it worked for the P-p-T data, including specific heat capacity

as input, places an added demand on a very simple equation of state, and a more complicated

equation of state may be necessary.

12. Acknowledgments

The authors wish to acknowledge the financial support of the NASA-Kennedy Space Center is well as the technical and moral support of numerous colleagues.

11
13- References

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1 3 - 1 1 8 ; 1981.

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68-69; 1982.

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reacting at a finite rate. Inzh.-Fiz. Zh. 14(5): 925 _ 926; 1968.

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tetroxide-nitric oxide gaseous medium. Vestsi Akad. Navuk BSSR, Ser. Fiz.-Energ. Navuk

(1): 65-67; 1982.

[7] Belyaeva, 0. V.; Timofeev, 3. D.; Shupaev, V. N. Experimental study of the viscosity of

liquid nitrogen tetroxide. Vestsi Akad. Navuk BSSR. Ser. Fiz.-Energ. Navuk (4): 78-81;

1980 . [8] Belyaeva, 0. V.; Nikolaev, V. A.; Timofeev, B. D. Experimental study of the speed of

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12
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17
Appendix A.

18
Table A1

Compa r i son of exper imenta

and calculated dens i t i es used in fitting Eq (41).

Pressure Dens i ty T empe rot u re % d i f f e renc MPa mo 1 /L kg/m^ K in density

4.932 1 .7492 104.3005 415.98 -0.26

5.930 1 .8764 104.2004 437.56 -0.64

7.271 2.0323 103.9999 469. 14 -0.26

8.426 2.1389 103.8008 501 .27 -0.08

10.394 2.2472 103.4993 568.95 -0.48

1 1 .463 2.2799 103.1997 608.91 0.42

5.974 2.4275 151 .2002 413.76 -0.75

6.907 2.5339 151 .0008 427.36 -0.59

8.145 2.6767 150.9010 445.52 -0.17

9.433 2.8144 150.7007 464.80 -0.12

10.599 2.9308 150.6010 483.41 -0.06

11.680 3.0266 150.3989 502.46 -0.03

12.652 3.1024 150.2991 521 .35 -0.04

13.497 3.1571 150.1011 539.77 0.04

14.296 3.1999 150.0007 557.90 0.04

15.047 3.2310 149.8016 575.66 0.13

9.653 3.3341 192.5010 447.02 -0.67

12.436 3.6088 192.1978 478.75 -0.24

15.568 3.8799 191 .7015 519.75 -0.04

18.191 4.0442 191 .3007 560.56 -0.17

20.448 4.1389 190.8993 600.10 0.74

11.994 4.0555 232.7012 458.24 -0.17

15.442 4.3712 232.3019 490.06 -0.01

18.472 4.6245 231 .8998 521 .25 -0 . 00

21 .279 4.8133 231 .4997 554.37 -0.07

22.879 4.8948 231 .1996 574.97 0 . 00

10.375 4.1177 248.8002 440.99 -0.56

12.031 4.2517 248.5996 454.50 -0.35

13.688 4.3972 248.3979 468.20 -0.27

15.257 4.5375 248.1975 481 .41 -0.30

16.846 4.6790 247.9996 495.37 -0.25

18.327 4.8089 247.8995 509.22 -0.07

19.690 4.9168 247.6987 522.56 -0.09

20.945 5.0068 247.4971 535.47 -0.17

22.177 5.0863 247.2990 548.81 -0.24

23.265 5.1508 247.1973 561 .20 -0.20

24.396 5.2068 246.9995 574.31 -0.21

9.926 4.5959 285.5995 433.76 0.12

14.737 4.9318 284.9988 467.36 0.39

19.358 5.3314 284.6027 500.61 0.01

23.284 5.6379 284.0027 531 .88 -0.23

26.769 5.8601 283.4974 563.21 -0.28

28.231 5.9384 283.2972 577.67 -0.04

12.501 5.5725 351 .2003 444.85 1 .03 14.942 5.6574 351 .0033 458.09 -0.51

17.573 5.8972 350.7039 472.42 -0.10

20.005 6.1145 350.5030 485.59 -0.13

22.371 6.3216 350.2025 498.76 -0.06

24.587 6.5040 349.8988 511.37 -0.12

26.899 6.6868 349.7003 525.10 -0.09

e Re f

80

19
Pressure Dens i ty Temperature % d i f f e renc MPa mo 1 /L kg/m^ K i n dens i ty

28.917 6.8314 349.4034 537.52 -0.15

30.952 6.9689 349.2030 550.68 -0.12

32.770 7.0801 348.9021 563.08 -0.03

34.909 7.1946 348.6989 577.77 -0 . 00

20.536 6.6155 395.3988 480.26 -0.21

27.724 7.2365 394.597.6 514.22 -0.01

34.040 7.6904 393.8984 546.26 -0.10

39.771 8.0282 393.1977 578.56 0.11

10.995 6.3484 405.4009 434.90 0.02

25.317 7.1462 403.9989 500.90 0.39

31 .889 7.6423 403.1985 531 .61 -0.06

38.009 8.0382 402.3969 563.25 -0.04

40.378 8.1711 402. 1990 576.35 0.06

22.030 7.2745 452.2004 479.09 -0.23

30.366 8.0223 451 .4031 511.44 0.34

38.423 8.5958 450.4012 544.42 0.22

45.922 9.0375 449.7027 577.87 0.14

28.496 9.2143 616.6056 481 .82 0.21

38.152 9.9983 615.8064 505.31 0.42

47.802 10.6285 614.9028 528.42 -0.03

57.047 11.1697 614.1052 551 .05 -0.45

23.222 9.7317 748.3935 459.41 -0.42

36.130 10.6546 747.2935 484.08 -0.34

49.439 1 1 .4677 746.1983 507.42 0.02

59.358 12.0070 745.4066 524.25 0.33

1 .037 0.2941 14.2199 431 .85 0.53

0.857 0.2675 14.2405 394.63 -0.39

0.767 0.2507 14.2501 378.85 -0.78

0.663 0.2302 14.2559 361 .90 -0.15

0.603 0.2174 14.2700 351 .33 0.03

2.354 0.5281 24.0183 541 .98 0.26

2.311 0.5265 24.0201 533.81 0.24

2.219 0.5236 24.0501 516.23 0.37

2.059 0.5175 24.1099 487.10 0.69

1 .977 0.5127 24.1196 473.20 0.76

1 .869 0.5046 24.1301 456.43 0.78

1 .779 0.4956 24.1453 443.17 0.54

1 .672 0.4830 24.1651 429.32 0.35

1 .567 0.4685 24.1784 417.15 0.22

1 .446 0.4493 24.1960 404.05 0.02

1 .322 0.4273 24.2097 391 .36 -0.23

1.136 0.3920 24.2349 373.13 -0.06

1 .096 0.3833 24.2394 368.75 -0.37

0.961 0.3566 24.2583 354.54 0.36

3.124 0.6607 29.7810 572.84 -0.15

2.582 0.6413 29.9089 493.12 0.43

2.522 0.6380 29.9216 484.93 0.49

2.171 0.6095 29.9871 444.24 0.93

4.030 0.8792 40.0103 557.38 -0.35

3.754 0.8697 40.0712 527.36 -0.13

20
Dens i ty

MPa mo 1 /L kg/m'3 K in den

3.665 0.8668 40.0902 519.10 0.31

3.570 0.8623 40.1204 508.21 0.19

3.336 0.8491 40.1700 485.16 0.38

3.219 0.8404 40.1898 474.44 0.41

3.106 0.8307 40.2100 464.69 0.36

2.980 0.8176 40.2301 454.18 0.09

2.828 0.8008 40.2495 443.20 0.13

2.643 0.7778 40.2796 430 . 45 0.07

2.588 0.7659 40.2903 426.83 -0.54

2.412 0.7433 40.3094 415.87 -0.17

2.267 0.7202 40.3309 407.07 -0.30

2.035 0.6839 40.3601 393.08 0.05

1 .870 0.6513 40.3798 383.47 -0.18

1 .728 0.6256 40.401

374.79 0.13

1 .617 0.6047 40.4106 367.89 0.45

2.890 0.8180 41 .0734 444.24 0.30

5.326 1.2414 57.5244 530.05 0.19

5.232 1 .2365 57.5507 522.27 -0.03

4.782 1.2111 57.6403 492.93 0.43

4.537 1.1918 57.6830 478.21 0.47

4.170 1.1560 57.7467 458.39 0.36

3.968 1.1326 57.7821 448.46 0.23

3.735 1.1037 57.8073 437.85 0.19

3.493 1 .0706 57.8403 427.42 0.14

2.953 0.9879 57.9069 404.93 -0.07

6.456 1 .3086 58.9412 598.09 -0.13

6.315 1 .3041 58.9724 588.07 -0.36

6.121 1 .2982 59.0178 574.49 -0.46

5.928 1 .2920 59.0603 560.77 -0.48

5.713 1 .2847 59. 1091 545.68 -0.34

5.481 1 .2757 59.1615 529.74 -0.11

5.180 1 .2608 59.2231 509.60 0.15

4.967 1 .2482 59.2663 496.54 0.39

4.778 1 .2339 59.3010 485.03 0.34

4.476 1 .2077 59.3548 468.74 0.47

4.226 1.1809 59.3932 456.06 0.27

4.056 1.1606 59.4184 447.94 0.09

3.867 1.1300 59.4461 439.52 1
 (0 5.864 1.3912 64.9492 522.40 0.02

4.287 1.2512 65.2183 443.80 -0.12

6.889 1 .5306 70.4030 553.71 -0.31

6.643 1 .5210 70.4517 539.58 -0.18

6.472 1.5134 70.4812 530.04 -0.05

6.276 1 .5037 70.5316 519.06 0.04

5.742 1 .4696 70.6308 492.12 0.41

5.336 1 .4342 70.7010 473.59 0.37

5.058 1 .4053 70.7408 461 .99 0.23

4.802 1 .3765 70.7817 452.13 0.17

4.527 1 .3430 70.8216 442.08 0.11

4.203 1 .3004 70.8624 430.93 0.10

Ref

21
'ressure Dens i ty Temperature % d i f f e rence MPa mo 1 /L kg/m^ K i n dens i ty

3.901 1 .2580 70.9027 420.81 0.11

3.465 1 .1929 70.9518 406.45 0.27

3.112 1.1375 70.9910 394.70 0.59

2.939 1 .1096 71 .0131 388.77 0.78

5.179 1 .4700 75.2229 456.36 0.05

5.114 1.4616 75.2327 453.97 -0.08

4.829 1 .4272 75.2667 444.27 -0.15

4.814 1 .4265 75.2736 443.98 0.02

4.628 1.4011 75.2966 437.58 -0.26

4.543 1 .3906 75.3074 434.97 -0.18

4.406 1 .3726 75.3244 430.68 -0.13

4.011 1.3161 75.3243 418.34 -0.20

3.785 1 .2809 75.4038 410.92 -0.60

3.660 1 .2657 75.4147 407.64 0.12

3.543 1 .2480 75.4261 404.03 0.22

3.294 1 .2099 75.4587 396.30 0.53

3.189 1.1937 75.4726 393.00 0.73

9.060 1 .8429 83.3830 600.25 0.55

8.759 1 .8333 83.4447 585.46 0.10

8.436 1 .8227 83.5216 569.70 -0.09

8.183 1.8140 83.5776 557.71 -0.04

7.895 1 .8025 83.6336 544.14 0.07

7.589 1 .7884 83.6969 529.99 0.22

7.255 1 .7703 83.7652 515.41 0.46

8.164 1 .8648 86.7903 540.92 -0.68

7.931 1 .8540 86.8432 530.82 -0.54

7.529 1.8314 86.9194 514.05 -0.34

7.182 1 .8078 86.9881 500.38 -0.23

6.858 1 .7829 87.0475 488.78 -0.05

6.425 1 .7426 87.1086 473.96 -0.11

5.976 1 .6950 87.1922 459.78 -0.28

5.443 1 .6320 87.2517 444.40 -0.42

4.974 1 .5721 87.3135 431 .67 -0.45

4.637 1 .5269 87.3513 422.80 -0.37

4.192 1 .4650 87.3968 411.25 -0.05

3.791 1 .4067 87.4501 400.63 0.25

3.609 1 .3798 87.4810 395.74 0.54

7.393 1 .9661 97.4475 483.62 0.01

6.504 1 .8746 97.5687 458.91 -0.15

6.262 1 .8491 97.6090 452.83 -0.02

10.785 2.4615 115.1821 546.18 -0.28

10.393 2.4415 115.2606 534.03 -0.17

9.823 2.4068 115.3532 517.31 0.01

9.431 2.3792 115.4317 506.46 0.11

9.027 2.3466 115.4875 495.81 0.13

8.667 2.3156 115.5538 486.95 0.20

8.011 2.2516 115.6605 471 .59 0.10

7.438 2. 1896 115.7133 459.16 -0.02

6.836 2.1206 115.7930 446.80 -0.09

6.419 2.0715 115.8345 438.62 —0 . 00

22
Dens i ty

5.876 2.0026 115.9037 427.91 -0.12

5.540 1 .9590 115.9544 421 .31 -0.18

5 . 105 1 .9038 115.9958 413.03 0.21

4.792 1 .8631 116.0226 406.97 0.56

4.583 1 .8359 116.0638 402.86 0.81

16.264 3.7117 176.3061 550.36 -0.09

15.495 3.6671 176.4306 536.78 -0 . 00

14.839 3.6244 176.5522 525.73 0.10

13.813 3.5479 176.7100 509.45 0.21

13.188 3.4961 176.8008 500.09 0.23

12.266 3.4149 176.9295 487.11 0.30

11.209 3.3131 177.0531 472.92 0.19

10.044 3.2001 177.1777 458 . 48 0.52

8.926 3.0839 177.3027 444.69 0.44

8.907 3.0815 177.3036 444.43 0.39

8.406 3.0293 177.3670 438.35 0.39

8.216 3.0103 177.3973 436.10 0.47

7.765 2.9637 177.4289 430.70 0.57

7.767 2.9630 177.4312 430.66 0.44

6.543 2.8376 177.5882 415.88 0.57

15.797 3.7583 181 .3568 535.54 0.11

14.860 3.6935 181 .4875 520.47 0.19

13.688 3.6060 181 .6536 503.63 0.64

12.555 3.5018 181 .8159 487.46 0.32

10.907 3.3449 182.1473 466.40 0.27

9.903 3.2432 182.1497 454.39 0.32

9.050 3.1564 182.2503 444.31 0.34

8.383 3.0880 182.3155 436.50 0.34

7.889 3.0380 182.3805 430.75 0.39

7.579 3.0054 182.4135 427.05 0.22

7.289 2.9754 182.4494 423.61 0.09

6.749 2.9210 182.4810 417.29 0.01

6.863 2.9323 182.4810 418.61 -0.01

6.641 2.9109 182.5146 416.04 0.07

6.533 2.9015 182.5154 414.86 0.36

19.533 5.0008 255.1006 516.74 0.20

17.931 4.8715 255.2963 502.26 0.36

16.261 4.7273 255.4917 487.89 0.48

8.426 4.0922 256.3457 425.09 -0.28

0.247 0.0936 6.5170 327.59 0.08

0.290 0.1035 6.5119 344.26 -0.55

0.338 0.1136 6.5071 360.93 - 1.13

0.383 0.1224 6.5015 377.59 - 1 .24

1.103 0.3684 22.0514 377.59 - 1.15

1 .802 0.6425 41 .0304 377.59 -0.51

0.423 0.1298 6.4964 394.26 -0.65

1 .256 0.3972 22.0334 394.26 - 1 .00

2.783 0.9865 60.7455 394.26 0.25

3.062 1.1112 69.3589 394.26 —0 . 00

0.458 0.1344 6.4911 410.93 -0.53

89

23
Pressure Dens i ty Temperature % di f ferenc

MPa mo 1 /L kg/m^ K i n dens i ty

1 .400 0.4185 22.0155 410.93 -1.28

2.374 0.7406 40.9679 410.93 -0.90

3.218 1 .0549 60.6988 410.93 -0.24

3.555 1.1878 69.3013 410.93 -0.38

4.351 1 .5422 92.6682 410.93 -0.17

4.858 1.8021 110.1449 410.93 -0.20

4.993 1 .8793 115.3577 410.93 -0.13

5.803 2.4344 153. 1564 410.93 -0.36

0.488 0.1372 6.4856 427.59 -0.66

1 .528 0.4406 21 .9974 427.59 -0.03

3.647 1.1176 60.6532 427.59 -0.39

4.044 1 .2595 69.2449 427.59 -0.33

5.676 1 .9126 110.0554 427.59 -0.34

5.850 1 .9898 115.2558 427.59 -0.43

6.972 2.5668 153.0378 427.59 -0.48

8.712 4.0147 249.9753 427.59 -1 .04 2.730 0.7938 40.9258 433.15 -0.42

5.243 1 . 6652 92.5758 433.15 -0.20

9.394 4.0640 249.9364 433.15 -0.19

0.515 0.1390 6.4809 444.26 -0.72

1 .642 0.4539 21 .9785 444.26 0.27

2.891 0.8147 40.9052 444.26 -0.14

4.065 1.1707 60.6070 444.26 -0.71

5.676 1 .7205 92.5185 444.26 -0.13

6.480 2.0127 109.9643 444.26 -0.33

6.698 2.0944 115.1670 444.26 -0.42

8.147 2.6975 152.9054 444.26 -0.53

10.767 4.1672 249 . 7839 444.26 0.14

3.447 15.7199 1445.7004 294.26 -0.09

6.895 15.7909 1452.2666 294.26 0.06

10.342 15.8480 1457.5532 294.26 0.12

13.790 15.9054 1462.8667 294.26 0.18

17.237 15.9342 1465.5504 294.26 0.07

20.684 15.9778 1469.5853 294.26 0.05

24.132 16.0364 1475.0039 294.26 0.11

27.579 16.0654 1477.71 1294.26 -0.01

31 .026 16.1246 1483.1849 294.26 0.06

34.474 16.1693 1487.3215 294.26 0.02

3.447 15.3295 1408.8405 310.93 -0.04

6.895 15.3825 1413.8048 310.93 -0.06

10.342 15.4500 1420.0849 310.93 0.03

13.790 15.5038 1425. 1202 310.93 0.03

17.237 15.5586 1430.2276 310.93 0.03

20.684 15.5997 1434.0623 310.93 -0.04

24.132 15.6551 1439.2200 310.93 -0.03

27.579 15.7109 1444.4023 310.93 -0.01

31 .026 15.7672 1449.6334 310.93 0.02

34.474 15.8096 1453.5751 310.93 -0.05

37.921 15.8523 1457.5488 310.93 -0.11

41 .369 15.9098 1462.8769 310.93 -0.09

24
Pressure Dens i ty Tempe ra t u re % d i f f e rence MPa mo 1 /L kg/m^ K in density

3.447 14.9043 1367.9333 327.59 -0.03

6.895 14.9660 1373.7974 327.59 -0.06

10.342 15.0286 1379.7048 327.59 -0.07

13.790 15.0791 1384.4903 327.59 -0.16

17.237 15.1561 1391 .6983 327.59 -0.06

20.684 15.2208 1397.7672 327.59 -0.03

24.132 15.2862 1403.8918 327.59 0.01

27.579 15.3387 1408.8258 327.59 -0.04

31 .026 15.4056 1415.0700 327.59 0.02

34.474 15.4454 1418.8270 327.59 -0.10

37.921 15.4993 1423.8725 327.59 -0.13

41 .369 15.5675 1430.2229 327.59 -0.06

6.895 14.5036 1328.2225 344.26 -0.11

10.342 14.5969 1337.0923 344.26 —0 . 00

13.790 14.6674 1343.8334 344.26 -0.03

17.237 14.751

1351 .7628 344.26 0.04

20.684 14.8236 1358.6579 344.26 0.05

24.132 14.8969 1365.5998 344.26 0.08

27.579 14.9584 1371 .4427 344.26 0.04

31 .026 15.0205 1377.3355 344.26 0.01

34.474 15.0833 1383.2782 344.26 -0.01

37.921 15.1339 1388.0931 344.26 -0.10

41 .369 15.2111 1395.3427 344.26 -0.01

3.447 13.8748 1264.5938 360.93 -0.31

6.895 13.9936 1276.1576 360.93 -0.18

10.342 14. 1086 1287.2479 360.93 -0.04

13.790 14.2136 1297.3639 360.93 0.05

17.237 14.3043 1306.1286 360.93 0.07

20.684 14.3922 1314.6081 360.93 0.10

24.132 14.4743 1322.5221 360.93 0. 10 27.579 14.5557 1330.3384 360.93 0.12

31 .026 14.6233 1336.8810 360.93 0.06

34.474 14.6957 1343.8280 360.93 0.05

37.921 14.7628 1350.2820 360.93 0.01

41 .369 14.8359 1357.2556 360.93 0.03

6.895 13.4192 1214.9109 377.59 -0.23

10.342 13.5529 1228.1338 377.59 -0.18

13.790 13.6816 1240.7762 377.59 -0.09

17.237 13.7939 1251 .8336 377.59 -0.08

20.684 13.9026 1262.4956 377.59 -0.04

24.132 14.0181 1273.7237 377.59 0.08

27.579 14.1209 1283.7419 377.59 0.15

31 .026 14.2061 1292.1166 377.59 0.1

34.474 14.2898 1300.3163 377.59 0.09

37.921 14.3818 1309.2368 377.59 0. 15

41 .369 14.4612 1316.9788 377.59 0.14

6.895 12.7367 1138.8123 394.26 -0.13

10.342 12.9364 1158.7416 394.26 -0.05

13.790 13.1152 1176.5286 394.26 0.06

17.237 13.2646 1191 .5074 394.26 0.06

25
Dens i

20.684 13.3874 1203.9526 394.26 -0.03

24.132 13.5134 1216.5736 394.26 -0.03

27.579 13.6368 1228.8736 394.26 0.02

31 .026 13.7526 1240.3976 394.26 0.07

34.474 13.8508 1250.2603 394.26 0.02

37.921 13.9506 1260.2081 394.26 0.03

41 .369 14.0424 1269.3840 394.26 0.01

6.895 11 .7673 1029.4641 410.93 0.63

10.342 12.1203 1064.2805 410.93 0.33

13.790 12.4019 1092.2906 410.93 0.28

17.237 12.6195 1114.3208 410.93 0.17

20.684 12.8043 1133.1692 410.93 0.07

24.132 12.9772 1150.7432 410.93 0.07

27.579 13.1306 1166.4093 410.93 0.06

31 .026 13.2622 1179.9864 410.93 -0.01

34.474 13.3800 1192.2004 410.93 -0.11

37.921 13.4949 1204.0352 410.93 -0.15

41 .369 13.6043 1215.2800 410.93 -0.18

13.790 11 .2150 956.6140 427.59 0.51

17.237 11 .6579 999.7740 427.59 -0.15

20.634 1 1 .9993 1033.7213 427.59 -0.25

24.132 12.3039 1064.0702 427.59 -0.01

27.579 12.5562 1089.5555 * 27. 59 0.19

31 026 12.7273 1107.7027 427.59 —0 . 00

34.474 12.8715 1123.2308 427.59 -0.23

37.921 13.0103 1138.0718 427.59 -0.35

41 .369 13.1475 1152.5676 427.59 -0.39

0.022 0.0101 0.8495 265.00 -0.08

0.029 0.0132 1 .0958 270.00 -0.22

0.039 0.0170 1 .3976 275.00 -0.40

0.050 0.0217 1 .7669 280.00 -0.60

0.065 0.0274 2.2149 285.00 -0.74

0.083 0.0345 2.7549 290.00 -0.87

0.105 0.0431 3.4027 295.00 -0.93

0.132 0.0534 4. 1749 300 . 00 - 1 .00 0.164 0.0659 5.0914 305.00 - 1 .01 0.204 0.0808 6.1762 310.00 -0.95

0.251 0.0987 7.4530 315.00 -0.87

0.308 0.1199 8.9531 320.00 -0.73

0.375 0 . 1 450 10.7065 325.00 -0.58

0.455 0.1748 12.7529 330.00 -0.38

0.549 0.2098 15.1372 335.00 -0.14

e .659 0.2510 17.9056 340.00 0.11

0.787 0.2993 21.1173 345.00 0.39

0.937 0.3559 24.8359 350.00 0.67

1.111 0.4221 29.1379 355.00 1 .00

1 .313 0.4930 33.6706 360.00 0.03

1 .545 0.5800 39.2084 365.00 -0.01

1.811 0.6820 45.6648 370.00 0.07

2.117 0.8000 53.0624 375.00 0.03

eq. ( 5 )

26
Density

MPa mo l/L kg/m'5 K in den

2.466 0.9380 61 .6115 380.00 0.02

2.864 1 .0990 71 .6048 385.00 -0.03

3.317 1 .2890 83.3510 390.00 -0 . 00

3.831 1 .5130 97.1724 395.00 -0.01

4.412 1 .7800 113.6226 400 . 00 -0.02

5.069 2.1030 133.5436 405.00 0.01

5.809 2.4990 158.0205 410.00 -0.04

6.642 3.0020 189.2098 415.00 -0.10

7.579 3.6700 231 .0539 420.00 -0.17

8.630 4.6300 291 .7277 425.00 0.07

0.022 16.4710 1510.7554 265.00 -0.19

0.029 16.3142 1498.7276 270.00 -0.05

0.039 16.1851 1486.8510 275.00 0.08

0.050 16.0574 1475.0943 280.00 0.12

0.065 15.9306 1463.4228 285.00 0.11

0.083 15.8044 1451 .7987 290.00 0.09

0.105 15.6786 1 4^0 . 1 885 295.00 0.05

0.132 15.5419 1428.5467 300 . 00 -0.06

0.164 15.4167 1416.8356 305.00 -0.09

0.204 15.2910 1405.0044 310.00 -0.10

0.251 15.1647 1393.0074 315.00 -0.11

0.308 15.0372 1380.7920 320.00 -0.10

0.375 14.9082 1368.3013 325.00 -0.08

0.455 14.7769 1355.4746 330.00 -0.05

0.549 14.6429 1342.2425 335.00 -0.01

0.659 14.5060 1328.5360 340.00 0.04

0.787 14.3642 1314.2741 345.00 0.08

0.937 14.2177 1299.3686 350.00 0.11

1.111 14.0659 1283.7232 355.00 0.15

1.313 13.9076 1267.2310 360.00 0.17

1 .545 13.7420 1249.7712 365.00 0. 19 1.811 13.5678 1231 .2062 370.00 0.19

2.117 13.3836 121 1 .3774 375.00 0.17

2.466 13.1879 1190.1044 380.00 0.13

2.864 12.9786 1167.1679 385.00 0.08

3.317 12.7531 1142.2965 390.00 0.01

3.831 12.5078 1115.1477 395.00 -0.08

4.412 12.2379 1085.2535 400 . 00 -0.17

5.069 1 1 .9358 1051 .9348 405.00 -0.26

5.809 11 .5888 1014.1022 410.00 -0.32

6.642 11.1736 969.7638 415.00 -0.31

7.579 10.6379 914.5725 420.00 -0.13

8.630 9.8325 836.1833 425.00 0.31

9.809 8.0985 680.1712 430.00 -0.39

eq. (5)

27
Table A2 . Comparison of vapor pressures calculated from

equation 3 and input data from references [87,88].

T empe rat u re Experimental Pi K MPa

264.092 0.0210979

268.093 0.0264934

271 .993 0.0328847

275.989 0.0407466

279.376 0.0486525

284.267 0.0623738

288.252 0.0759191

292.187 0.0917335

294.948 0.1044280

310.928 0.2119430

310.928 0.2114600

327.594 0.4137510

344.261 0.7680010

344.261 0.7663460

344.261 0.7691730

344.261 0.7671730

360.928 1 .3538400

377.594 2.2860800

377.594 2.2928300

377.594 2.2958000

394.261 3.7502300

410.928 5.9575700

416.483 6.9119400

422.039 7.9840600

422.039 7.9985400

essure % Di f ference

in Pressure

0.08

0.08

0.02

0.03

-0 . 00 -0.02

-0.04

-0.08

-0.08

-0.06

0.17

0.23

-0.10

0.11

-0.25

0 . 00

-0.03

0.27

-0.02

-0.14

0.01 -0.01

-0.05

0.11

-0.07

28
Table A3. Comparison of input and calculated saturated

liquid and vapor densities from equation (6).

Liquid [89]

T emp Dens i ty % differ

K kg/m^ in dens

310.928 1400.2167 0.19

316.483 1386.8836 0.19

322.039 1372.6211 0.23

327.594 1358.6530 0.23

333.150 1343.8293 0.25

338.706 1331 .5359 0.05

344.261 1314.0713 0.18

349.817 1300.2045 0 . 00

355.372 1282.5006 0 . 00

360.928 1265.2844 -0.10

366.483 1246.5684 -0.18

372.039 1224.6501 -0.11

377.594 1201 .6922 -0.10

383.150 1176.1025 -0.02

388.706 1149.9332 -0.09

394.261 1119.3930 -0.01

399.817 1086.7274 -0.03

405.372 1049.7001 -0.04

410.928 1006.1858 0.03

416.483 953.4790 0.14

422.039 885.9761 0.09

427.594 773.0908 0.04

276.350 1483.8040 0 . 00

279.150 1477.9978 -0.05

283.450 1468.7962 -0.11

285.600 1463.5973 -0.10

285.600 1463.6985 -0.10

288.350 1456.8985 -0.07

288.350 1457.3034 -0.10

290.700 1451 .4972 -0.08

290.700 1450.3286 -0.10

293.050 1445.8014 -0.06

293.050 1446.2983 -0.10

294.300 1443.2986 -0.09

294.200 1443.2986 -0.07

295.550 1440.7037 -0.11

295.550 1440.5013 -0.10

298.200 1434.1982 -0.09

298.200 1434.1982 -0.09

300.650 1428.7968 -0.11

300.600 1428.4012 0.08

303.100 1422.8986 -0.10

303.100 1422.5029 -0.07

29
Temp Dens i tv % differ*

K kg/m

307.950 1410.8997 -0.06

307.950 1410.5041 -0.03

313.000 1397.4010 0.04

313.050 1397.6034 0 02

318.000 1384.8040 0.08

322.100 1374.4982 0.09

328.550 1356.1962 0.23

Vapor [90]

310.928 6.3590 0.60

316.483 7.8100 0.80

322.039 9.5632 0.74

327.594 1 1 .7094 0.16

331 .500 14.2260 -0.09

338.706 17.2186 -0.41

344.261 20.7144 -0.50

349.817 24.8966 -0.83

355.372 29.7134 -0.78

360.928 35.1900 -0.21

366.483 41 .9332 -0.50

372.039 49.5621 -0.16

377.594 58.3976 0.34

383.150 69.0451 0.39

388.706 81 .5189 0.53

394.261 96.3223 0.62

399.817 114.4992 0.25

405.372 135.8653 0.35

410.928 162.7404 0.15

416.483 197.8316 -0.21

422.039 246.8522 -0.31

30
Appendix B.

Note: Compositions in the following table have been calculated on the basis of 1 mol/L of

pure N2O14. Some of the calculated composition for NO and O2 at the low temperatures

were very small negative numbers. Since negative compositions are not realistic, all

of the negative compositions were changed to zero.

31
Table B1 . Isobaric tables of N204 properties calculated with

equations from this work.

0 .101325 MPa Isobsr

Temp Dens i ty Z Molecular Compos i t i on

K mo l/L kg/rrr mass N204 N02 NO 02

294.32 15.6872 1440.9879 .0026 91 .857327 .998 .003 . 000 . 000

294.32 .0422 3.3382 .9796 79.157476 .838 .324 .001 .000

295. .0421 3.3178 .9820 78.866579 .834 .332 .001 . 000

300. .0413 3.1674 .9829 76.638039 .799 .401 . 000 . 000

305. .0406 3.0149 .9839 74.239285 .760 .479 . 000 . 000

310. .0399 2.8622 .9849 71 .710644 .716 .568 . 000 .000

315. .0392 2.7124 .9860 69.126979 .668 .666 . 000 . 000

320. .0386 2.5677 .9870 66.548644 .616 .772 . 000 . 000

325. .0380 2.4305 .9881 64.042978 .560 .886 . 000 .000

330. .0373 2.2949 .9891 61 .463766 .501 1 .003 . 000 . 000

335. .0367 2.1727 .9900 59.129382 .442 1.121 . 000 .000 340. .0362 2.0642 .9909 57.066001 .384 1.237 . 000 .000

345. .0356 1 .9648 .9918 55.163710 .329 1 .347 . 000 . 000

350. .0351 1 .8825 .9926 53.663816 .280 1 .451 . 000 . 000

355. .0346 1.8136 .9933 52.477137 .236 1 .548 . 000 . 000

360. .0341 1 .7376 .9940 51 .022981 .193 1 .621 . 000 . 000

365. .0336 1 .6796 .9947 50.037564 .158 1 .689 . 000 .000

370. .0331 1 .6294 .9953 49.234989 .129 1 .745 . 000 .000

375. .0326 1 .5866 .9958 48.615659 . 105 1 .793 . 000 .000

380. .0322 1 .5376 .9963 47.767547 .083 1.814 .019 .010

385. .0318 1.5107 .9967 47.571548 .069 1 .856 .006 .003

390. .0313 1 .4806 .9971 47.248159 .056 1 .881 .007 .004

395. .0309 1 .4481 .9975 46.819973 .045 1 .890 .020 .010

400. .0305 1 .4279 .9978 46.766869 .037 1.916 .009 .005

405. .0301 1 . 4045 .9981 46.587027 .030 1 .928 .01

.006

410. .0298 1 .3827 .9984 46.443404 .025 1 .938 .012 .006

415. .0294 1 .3620 .9986 46.315740 .021 1 .944 .014 .007

420. .0290 1 .3423 .9988 46.207597 .017 1 .949 .017 .008

425. .0287 1 .3237 .9990 46.116854 .014 1 .953 .019 .009

430. .0284 1 .3056 .9992 46.030454 .012 1 .955 .021 .011 435. .0280 1 .2884 .9993 45.955864 .010 1 .956 .024 .012

440. .0277 1.2716 .9994 45.882957 .008 1 .956 .027 .014

445. .0274 1 .2553 .9995 45.814625 .007 1 .956 .031 .015

450. .0271 1 .2394 .9996 45.747175 .006 1 .954 .034 .017

455. .0268 1 .2239 .9997 45.680151 .005 1 .952 .038 .019

460. .0265 1 .2087 .9997 45.611741 .004 1 .949 .043 .022 465. .0262 1.1939 .9998 45.543045 .004 1 .945 .048 .024

470. .0259 1.1793 .9998 45.470973 .003 1 .941 .053 .027 475. .0257 1.1649 .9998 45.396878 .003 1 .936 .059 .029

480. .0254 1.1508 .9999 45.318745 .002 1 .930 .065 .033

485. .0251 1.1368 .9999 45.236549 .002 1 .924 .072 .036

490. .0249 1.1231 .9999 45.149877 .002 1.918 .079 .040

495. .0246 1.1095 .9999 45.058409 .001 1 .910 .087 .044

500. .0244 1 .0960 .9999 44.961852 .001 1 .902 .095 .048

505. .0241 1 .0827 .9999 44.859899 .001 1 .893 .104 .052 510. .0239 1 .0695 .9999 44.752249 .001 1 .884 .114 .057 515. .0237 1 .0565 .9999 44.638642 .001 1 .874 .124 .062 520. .0234 1 .0435 .9999 44.518879 .001 1 .863 .135 .068

525. .0232 1 .0306 .9999 44.392822 .001 1 .852 .147 .073

530. .0230 1.0179 .9999 44.260375 .001 1 .840 .159 .079 535. .0228 1 .0052 .9998 44. 121480 . 000 1 .827 .172 .086 540. .0226 .9926 .9998 43.976115 . 000 1.814 .186 .093 545. .0224 .9801 .9998 43.824246 . 000 1 .799 .200 .100 550. .0222 .9677 .9998 43.6661 1

. 000 1 .784 .215 .108

32
0 .2 MPa Isobar

T emp Density Z Molecular Compos i t i on

K mo 1 /L kg/mJ mass N204 N02 NO 02

295. 15.6723 1440.7234 .0052 91 .928285 .999 .002 . 000 . 000

300. 15.5520 1429.5187 .0052 91 .918723 .999 .002 . 000 . 000

305. 15.4304 1418.1253 .0051 91 .904565 .999 .002 . 000 . 000

309.57 15.3173 1407.4464 .0051 91 .886236 .999 .003 . 000 . 000

309.57 .0802 6.1350 .9676 76.502940 .797 .405 . 000 . 000

310. .0801 6.1104 .9691 76.315127 .794 .41

. 000 . 000

315. .0786 5.8213 .9713 74.045035 .757 .486 . 000 . 000

320. .0772 5.5336 .9735 71 .663503 .716 .569 . 000 .000

325. .0759 5.2526 .9756 69.238535 .670 .661 . 000 . 000

330. .0746 4.9818 .9777 66.818433 .621 .761 . 000 . 000

335. .0733 4.7247 .9796 64.458795 .570 .866 . 000 . 000

340. .0721 4.4668 .9815 61 .967603 .514 .975 . 000 . 000

345. .0709 4.2399 .9833 59.790858 .459 1 .086 . 000 . 000

350. .0698 4.0290 .9849 57.735866 .404 1.195 . 000 . 000

355. .0687 3.8421 .9864 55.931776 .352 1 .300 . 000 . 000

360. .0676 3.6759 .9878 54.343124 .304 1 .399 . 000 . 000

365. .0666 3.5356 .9891 53.064418 .260 1 .492 . 000 . 000

370. .0656 3.3958 .9903 51 .728039 .218 1 .570 . 000 . 000

375. .0647 3.2795 .9914 50.686968 .182 1 .640 . 000 . 000

380. .0638 3.1777 .9924 49.818506 .151 1 .700 . 000 . 000

385. .0629 3.0812 .9933 48.985591 .124 1 .746 .006 .003

390. .0620 3.0046 .9942 48.429714 .103 1 .788 .006 .003

395. .0612 2.9363 .9949 47.970269 .085 1 .824 .006 .003

400. .0604 2.8746 .9956 47.588843 .070 1 .852 .007 .004

405. .0596 2.8187 .9962 47.274816 .058 1 .876 .009 .004

410. .0589 2.7678 .9967 47.018798 .048 1 .894 .010 .005

415. .0581 2.7165 .9972 46.731990 .039 1 .904 .017 .008

420. .0574 2.6769 .9976 46.625263 .033 1 .921 .013 .006

425. .0567 2.6359 .9979 46.474113 .027 1 .930 .015 .007

430. .0560 2.5970 .9983 46.34231.023 1 .937 .017 .008

435. .0554 2.5603 .9985 46.230870 .019 1 .943 .019 .010

440. .0547 2.5250 .9988 46.129677 .016 1 .946 .022 .01

445. .0541 2.4913 .9990 46.040340 .014 1 .949 .024 .012

450. .0535 2.4588 .9991 45.957273 .01

1 .950 .027 .014

455. .0529 2.4273 .9993 45.879303 .010 1 .950 .031 .015

460. .0523 2.3968 .9994 45.804847 .008 1 .949 .034 .017

465. .0518 2.3670 .9995 45.732431 .007 1 .948 .038 .019

470. .0512 2 . 3380 .9996 45.660301 .006 1 .946 .042 .021 475. .0507 2.3096 .9996 45.588869 .005 1 .943 .047 .024

480. .0501 2.2818 .9997 45.515630 .004 1 .939 .052 .026

485. .0496 2.2545 .9997 45.441207 .004 1 .935 .057 .029

490. .0491 2.2277 .9997 45.364021 .003 1 .930 .063 .032

495. .0486 2.2012 .9997 45.283824 .003 1 .925 .070 .035

500. .0481 2.1752 .9997 45.200146 .002 1 .919 .076 .038

505. .0476 2.1495 .9997 45.112622 .002 1.912 .084 .042

510. .0472 2.1241 .9997 45.021253 .002 1 .905 .091 .046

515. .0467 2.0990 .9997 44.925076 .002 1 .897 .100 .050

520. .0463 2.0742 .9997 44.823905 .001 1 .889 .108 .054

525. .0458 2.0496 .9997 44.717979 .001 1 .880 . 118 .059

530. .0454 2.0252 .9997 44.606797 .001 1 .870 .128 .064

535. .0450 2.0010 .9997 44.490194 .001 1 .860 .138 .069

540. .0446 1 .9771 .9997 44.368049 .001 1 .849 .150 .075

545. .0442 1 .9533 .9997 44.240283 .001 1 .837 .161 .081 550. .0438 1 .9297 .9997 44.106844 .001 1 .825 .174 .087

33
0 .4 MPa Isobar

T emp Dens i ty Z Molecular Compos

t i on

K mo 1 /L kg/rrr mass N204 N02 NO 02

295. 15.6750 1441 .0109 .0104 91 .930342 .999 .002 . 000 . 000

300. 15.5549 1429.8303 .0103 91 .921523 .999 .002 . 000 . 000

305. 15.4335 1418.4666 .0102 91 .908383 .999 .002 . 000 .000

310. 15.3099 1406.8155 .0101 91 .889455 .999 .003 . 000 . 000

315. 15.1834 1394.7960 .0101 91 .863209 .998 .003 . 000 . 000

320. 15.0536 1382.3457 .0100 91 .828193 .998 .004 . 000 . 000

325. 14.9201 1369.4155 .0099 91 .783092 .998 .005 . 000 . 000

326.66 14.8749 1365.0094 .0098 91 .765661 .997 .005 . 000 . 000

326.66 .1552 1 1 .4096 .9396 73.537856 .749 .503 . 000 . 000

330. .1531 1 1 .0307 .9522 72.049573 .723 .555 . 000 . 000

335. .1501 10.4774 .9565 69.78521

.681 .640 . 000 . 000

340. .1473 9.9393 .9606 67.472509 .635 .731 . 000 . 000

345. .1446 9.4247 .9643 65.174830 .587 .828 . 000 . 000

350. .1420 8.9386 .9678 62.937690 .537 .928 . 000 . 000

355. .1396 8.4852 .971

60.803470 .486 1 .031 . 000 . 000

360. .1372 8.0678 .9741 58.808040 .434 1.133 . 000 . 000

365. .1349 7.6920 .9769 57.008889 .385 1 .234 . 000 . 000

370. .1328 7.3539 .9794 55.392879 .337 1 .329 . 000 . 000

375. .1307 7.0521 .9817 53.965072 .293 1 .419 . 000 . 000

380. .1287 6.8054 .9838 52.884958 .254 1 .505 . 000 . 000

385. .1268 6.5415 .9858 51 .602648 .215 1 .574 . 000 . 000

390. .1249 6.3110 .9875 50.519107 .181 1 .634 .004 .002

395. .1231 6. 1249 .9890 49.736484 .152 1 .690 .005 .003

400. .1214 5.9608 .9904 49.086007 .128 1 .738 .006 .003

405. .1198 5.8098 .9917 48.500783 .107 1 .776 .009 .005

410. .1182 5.6837 .9928 48.088350 .090 1 .812 .008 .004

415. .1167 5.5657 .9938 47.711055 .076 1 .840 .009 .004

420. .1152 5.4581 .9946 47.393731 .063 1 .863 .010 .005

425. . 1137 5.3596 .9954 47.128437 .053 1 .882 .011 .006

430. .1123 5.2685 .9961 46.904270 .045 1 .897 .013 .007

435. .1110 5.1839 .9966 46.714624 .038 1.910 .015 .007

440. .1097 5.1046 .9971 46.551841 .032 1 .920 .017 .008

445. .1084 5.0298 .9976 46.410913 .027 1 .927 .019 .010

450. .1071 4.9589 .9979 46.287203 .023 1 .933 .021 .011 455. .1059 4.8912 .9982 46. 177119 .019 1 .937 .024 .012

460. .1047 4.8264 .9985 46.077568 .016 1 .940 .027 .013

465. .1036 4.7641 .9987 45.986029 .014 1 .942 .030 .015

470. .1025 4.7038 .9988 45.900484 .012 1 .942 .033 .017

475. .1014 4.6455 .9990 45.819185 .010 1 .942 .037 .019

480. .1003 4.5887 .9991 45.740444 .009 1 .941 .041 .021 485. .0993 4.5335 .9992 45.663690 .008 1 .939 .046 .023

490. .0983 4.4794 .9992 45.587145 .007 1 .937 .050 .025

495. .0973 4.4266 .9992 45.510561 .006 1 .933 .055 .028

500. .0963 4.3747 .9993 45.432761 .005 1 .929 .061 .030

505. .0953 4.3238 .9993 45.353233 .004 1 .925 .066 .033

510. .0944 4.2737 .9993 45.271416 .004 1 .920 .073 .036

515. .0935 4.2243 .9993 45.187078 .003 1.914 .079 .040

520. .0926 4.1756 .9993 45.099480 .003 1 .908 .086 .043

525. .0917 4.1276 .9992 45.008391 .003 1 .901 .094 .047

530. .0908 4.0800 .9992 44.913501 .002 1 .894 .102 .051 535. .0900 4.0330 .9992 44.814545 .002 1 .886 .110 .055

540. .0892 3.9865 .9992 44.711299 .002 1 .877 . 1 19 .060

545. .0883 3.9404 .9992 44.603538 .002 1 .868 .129 .065

550.' .0875 3.8946 .9993 44.491203 .001 1 .858 .139 .070

34
0.6 MPa Isobar

T emp Dens i ty Z Molecular Compos i

i on K mo l/L kg/mJ mass N204 N02 NO 02

295. 15.6778 1441 .6680 .0156 91 .955991 .999 .001 000 . 000

300. 15.5578 1430.4299 .0155 91 .942832 .999 .002 . 000 . 000

305. 15.4366 1418.7705 .0153 91 .909789 .999 .002 . 000 .000

310. 15.3131 1407.1429 .0152 91 .891392 .999 .003 . 000 . 000

315. 15.1868 1395.1512 .0151 91 .865883 .998 .003 . 000 . 000

320. 15.0572 1382.7346 .0150 91 .831920 .998 .004 000 . 000

325. 14.9240 1369.8457 .0149 91 .788302 .998 .005 000 . 000

330. 14.7868 1356.4473 .0148 91 .733842 .997 .006 000 .000

335. 14.6454 1342.4968 .0147 91 .667056 .996 .007 000 . 000

337.43 14.5749 1335.4228 .0146 91 .624617 .996 .008 000 .000

337.43 .2291 16.4358 .9265 71 .747072 .717 .566 000 . 000

340. .2265 16.0006 .9369 70.630881 .697 .608 000 .000

345. .2218 15.1737 .9431 68.412128 .654 . 693 000 .000

350. .2173 14.3848 .9488 66.192568 .609 .783 . 000 . 000

355. .2131 13.6398 .9540 64.012791 .562 .878 000 .000

360. .2091 12.9434 .9588 61 .911626 .513 .976 000 . 000

365. .2053 12.2995 .9632 59.923214 .464 1.074 000 .000

370. .2016 11.7159 .9673 58.103422 .415 1.172 000 .000

375. .1982 11.1805 .9709 56.410605 .368 1.266 000 .000

380. .1949 10.7048 .9743 54.918096 .323 1.356 000 . 000

385. .1918 10.2887 .9773 53.642897 .282 1.440 000 . 000

390. .1888 9.9715 .9800 52.810360 .248 1.523 000 .000

395. .1860 9.5352 .9824 51 .274717 .208 1.580 005 .002

400. .1832 9.2371 .9846 50.412475 .177 1.640 005 .003

405. . .1 806 8.9752 .9866 49.693700 .151 1.693 005 .003

410. .1781 8.7391 .9883 49.070213 .128 1.737 007 .003

415. .1757 8.5293 .9899 48.552007 .108 1.776 007 .004

420. .1733 8.3397 .9912 48.110951 .092 1.808 009 .004

425. .171

8.1685 .9924 47.742234 .078 1.835 010 .005

430. .1689 8.0123 .9935 47.430144 .066 1.858 011 .006

435. .1668 7.8689 .9944 47.166067 .055 1.876 013 .006

440. .1648 7.7362 .9952 46.940741 .047 1.891 015 .007

445. .1628 7.6129 .9958 46.748869 .040 1.904 016 .008

450. .1609 7.4971 .9964 46.582479 .034 1.914 019 .009

455. .1591 7.3881 .9969 46.437512 .029 1.921 021 .010

460. .1573 7.2846 .9973 46.309491 .025 1.927 023 .012

465. .1556 7.1860 .9976 46.194790 .021 1.932 026 .013

470. .1539 7.0916 .9979 46.090771 .018 1.935 029 .015

475. .1522 7.0009 .9981 45.994891 .016 1.937 032 .016

480. .1506 6.9132 .9983 45.905189 .013 1.937 036 .018

485. .1490 6.8283 .9984 45.819921 .012 1.937 040 .020

490. .1475 6.7459 .9985 45.737853 .010 1.936 044 .022

495. .1460 6.6656 .9986 45.657573 .009 1.934 048 .024

500. .1445 6.5871 9987 45.578273 .008 1.932 053 .026

505. .1431 6.5104 .9987 45.498946 .007 1.929 058 .029

510. .1417 6.4351 .9987 45.418892 .006 1.925 063 .032

515. .1403 6.3612 .9987 45.337463 .005 1.921 069 .035

520. .1390 6.2885 .9987 45.254281 .004 1.916 075 .038

525. .1376 6.2168 .9987 45.168669 .004 1.910 082 .041 530. .1363 6.1461 .9987 45.080300 .003 1.904 089 .045

535. .1351 6.0763 .9987 44.988821 .003 1.897 097 .048

540. .1338 6.0073 .9987 44.893932 .003 1.890 .105 .052

545. .1326 5.9390 .9987 44.795373 .002 1.882 . 113 .056

550. .1314 5.8714 .9987 44.692926 .002 1.874 .122 .061

35
0.8 MPa Isobar

T emp Dens i ty Z Molecular Compos i

i on

K mo l/L kg/m0 mass N204 N02 NO 02

295. 15.6806 1441 .9289 .0208 91 .956366 .999 .001 . 000 . 000

300. 15.5607 1430.7060 .0206 91 .943365 .999 .002 . 000 . 000

305. 15.4396 1419.2964 .0204 91 .925586 .999 .002 000 . 000

310. 15.3163 1407.4574 .0203 91 .892505 .999 .003 . 000 . 000

315. 15.1902 1395.4889 .0201 91 .867423 .998 .003 . 000 .000

320. 15.0609 1383.0990 .0200 91 .834049 .998 .004 000 . 000

325. 14.9278 1370.2416 .0198 91 .791247 .998 .005 000 . 000

330. 14.7908 1356.8810 .0197 91 .737915 .997 .006 . 000 . 000

335. 14.6497 1342.9760 .0196 91 .672676 .996 .007 000 . 000

340. 14.5041 1328.4357 .0195 91 .590588 .995 .009 000 . 000

345. 14.3536 1313.3181 .0194 91 .497350 .994 .011 000 . 000

345.45 14.3399 1311 .9339 .0192 91 .488063 .994 .011 000 . 000

345.45 .3028 21 .3388 .9080 70.479573 .694 .613 000 . 000

350. .2964 20.3083 .9275 68.513191 .656 .689 000 . 000

355. .2899 19.2353 .9350 66.355909 .613 .777 . 000 . 000

360. .2838 18.2275 .9419 64.234637 .567 .868 000 . 000

365. .2780 17.2890 .9482 62.185061 .519 .963 000 . 000

370. .2726 16.4228 .9539 60.238550 .472 1.058 000 . 000

375. .2675 15.6298 .9590 58.419082 .424 1.152 000 . 000

380. .2627 14.9173 .9637 56.774836 .379 1.245 000 . 000

385. .2582 14.2392 .9679 55.147099 .333 1.331 003 .002

390. .2539 13.7022 .9717 53.967375 .294 1.415 000 . 000

395. .2498 13.2034 .9751 52.853880 .256 1.492 000 . 000

400. .2459 12.7361 .9782 51 .790114 .222 1.560 000 . 000

405. .2422 12.2538 .9809 50.592277 .187 1.613 012 .006

410. .2387 1 1 .9297 .9833 49.985223 .162 1.670 006 .003

415. .2353 1 1 .6083 .9855 49.339107 .138 1.717 007 .003

420. .2320 11.3212 .9874 48.792412 . 118 1.757 .008 .004

425. .2289 1 1 .0628 .9890 48.32781

. 100 1.791 .009 .004

430. .2259 10.8290 .9905 47.933955 .085 1.819 ,010 .005

435. .2230 10.6163 .9918 47.599755 .073 1.843 .011 .006

440. .2203 10.4213 .9929 47.315279 .062 1.863 .013 .007

445. .2176 10.2417 .9938 47.072985 .053 1.880 .015 .007

450. .2150 10.0747 .9946 46.864377 .045 1.894 017 .008

455. .2125 9.9189 .9953 46.684331 .038 1.905 ,019 .009 460. .2100 9.7723 .9959 46.526835 .033 1.913 .021 .01

465. .2077 9.6337 .9964 46.387885 .028 1.920 ,024 .012 470. .2054 9.5019 .9968 46.263735 .024 1.925 ..026 .013

475. .2032 9.3761 .9971 46.151702 .021 1.929 ,029 .015

480. .2010 9.2553 .9974 46.048902 .018 1.932 .032 .016

485. .1989 9.1391 .9976 45.953326 .016 1.933 ,036 .018

490. .1968 9.0266 .9977 45.863126 .013 1.933 .040 .020

495. .1948 8.9177 .9978 45.776969 .012 1.933 .044 .022

500. .1928 8.8116 .9979 45.693376 .010 1.932 .048 .024

505. .1909 8.7082 .9980 45.611450 .009 1.930 .053 .026

510. .1890 8.6072 .9980 45.530142 .008 1.927 .058 .029 515. .1872 8.5082 .9980 45.448701 .007 1.924 ,063 .031 520. .1854 8.4110 .9980 45.366435 .006 1.920 .069 .034

525. .1836 8.3154 .9980 45.282909 .005 1.915 .075 .037

530. .1819 8.2214 .9981 45.197446 .005 1.910 .081 .040

535. .1802 8.1286 .9981 45.109680 .004 1.904 .088 .044

540. .1785 8.0370 .9981 45.019238 .004 1.898 .095 .048

545. .1769 7.9465 .9981 44.925800 .003 1.891 . 103 .051 550. .1753 7.8569 .9982 44.829089 .003 1.884 .111 .055

36
1 . 0 MPa I soba

T emp Dens i ty Z Mo 1 ecu 1 a r Compos i

i on

K mo 1 /L kg/rrr mass N204 N02 NO 02

295. 15.6833 1442.1882 .0260 91 .956647 .999 .001 000 . 000

300. 15.5636 1430.9799 .0258 91 .943767 .999 .002 000 . 000

305. 15.4427 1419.5869 .0255 91 .926149 .999 .002 000 . 000

310. 15.3196 1407.9174 .0253 91.903130 .999 .002 000 . 000

315. 15.1937 1395.8193 .0251 91 .868506 .998 .003 . 000 . 000

320. 15.0645 1383.4534 .0249 91 .835536 .998 .004 . 000 . 000

325. 14.9316 1370.6234 .0248 91 .793284 .998 .005 000 . 000

330. 14.7949 1357.2950 .0246 91 .740696 .997 .006 000 . 000

335. 14.6540 1343.4277 .0245 91 .676464 .996 .007 000 . 000

340. 14.5087 1328.9770 .0244 91 .598813 .996 .009 000 . 000

345. 14.3586 1313.8722 .0243 91 .504329 .995 .011 000 . 000

350. 14.2032 1298.0781 .0242 91 .393215 .993 .013 000 . 000

351 .88 14.1432 1291 .9231 .0240 91 .345759 .993 .014 000 . 000

351 .88 .3766 26.1667 .8996 69.482784 .675 .651 000 . 000

355. .3707 25.2669 .9139 68.155821 .649 .702 . 000 . 000

360. .3619 23.9029 .9232 66.048972 .606 .788 000 . 000

365. .3537 22.6323 .9316 63.983275 .561 .878 000 . 000

370. .3461 21 .4564 .9392 61 .990451 .515 .971 000 . 000

375. .3390 20.3750 .9460 60.096049 .469 1.064 000 . 000

380. .3324 19.3657 .9522 58.257780 .421 1.155 . 002 .001 385. .3262 18.4732 .9577 56.631745 .377 1.244 003 .001 390. .3204 17.5174 .9627 54.681738 .328 1.324 021 .010

395. .3148 16.9077 .9671 53.702399 .292 1.407 010 .005

400. .3096 16.3879 .97152.927243 .259 1.487 000 . 000

405. .3047 15.7516 .9747 51 .696635 .223 1.550 005 .003

410. .3000 15.2516 .9778 50.837519 .193 1.610 005 .003

415. .2955 14.8028 .9806 50.086055 .166 1.663 006 .003

420. .2913 14.4020 .9831 49.441445 .142 1.709 007 .003

425. .2872 14.0428 .9853 48.889966 .122 1.748 008 .004

430. .2833 13.7166 .9872 48.409643 . 104 1.782 010 .005

435. .2796 13.4273 .9888 48.020364 .089 1.812 010 .005

440. .2760 13.1613 .9903 47.679615 .076 1.836 012 .006

445. .2726 12.9175 .9915 47.387872 .065 1.856 014 .007

450. .2693 12.6932 .9926 47.138781 .056 1.873 015 .008

455. .2661 12.4849 .9935 46.923369 .048 1.887 017 .009

460. .2630 12.2905 .9943 46.736512 .041 1.899 019 .010

465. .2600 12.1079 .9949 46.573063 .035 1.908 022 .01

470. .2571 1 1 .9355 .9954 46.428281 .030 1.915 .024 .012

475. .2543 11 .7718 .9959 46.299314 .026 1.921 .027 .013

480. .2515 11 .6157 .9962 46.182486 .023 1.925 .030 .015

485. .2489 1 1 .4661 .9965 46.075515 .020 1.928 ,033 .017

490. .2463 1 1 .3221 .9967 45.976222 .017 1.930 ,037 .018

495. .2437 11.1830 .9969 45.882680 .015 1.930 ,040 .020

500. .2413 1 1 .0483 .9970 45.793696 .013 1.930 .044 .022

505. .2389 10.9173 .9971 45.707596 .01

1.929 .049 .024

510. .2365 10.7897 .9972 45.623573 .010 1.927 ,053 .027

515. .2342 10.6650 .9972 45.540497 .009 1.925 .058 .029

520. .2319 10.5428 .9973 45.457619 .008 1.921 .063 .032

525. .2297 10.4230 .9973 45.374306 .007 1.918 .069 .035

530. .2275 10.3051 .9973 45.289903 .006 1.913 .075 .038

535. .2254 10.1891 .9974 45.203923 .005 1 .908 .081 .041 540. .2233 10.0747 .9974 45.115923 .005 1.903 .088 .044

545. .2212 9.9618 .9975 45.025525 .004 1 .897 .095 .048

550. .2192 9.8501 .9975 44.932399 .004 1 .890 .103 .051

37
1 . 5 MPa I soba r

T emp Dens i ty Z Molecular Compos i

i on

K mo 1 /L kg/nr mass N204 N02 NO 02

295. 15.6903 1442.8332 .0390 91 .957165 .999 .001 000 . 000

300. 15.5709 1431 .6604 .0386 91 .944530 .999 .002 000 . 000

305. 15.4503 1420.3070 .0383 91 .927213 .999 .002 000 . 000

310. 15.3277 1408.6815 .0380 91 .904578 .999 .002 000 . 000

315. 15.2022 1396.7168 .0377 91 .876024 .998 .003 000 . 000

320. 15.0735 1384.3205 .0374 91 .838118 .998 .004 . 000 . 000

325. 14.9412 1371 .5533 .0372 91 .796774 .998 .005 000 . 000

330. 14.8050 1358.2937 .0369 91 .745374 .997 .006 000 . 000

335. 14.6648 1344.5065 .0367 91 .682711 .996 .007 000 . 000

340. 14.5202 1330.1514 .0365 91 .607134 .996 .009 000 . 000

345. 14.3709 1315.1548 .0364 91 .515401 .995 .011 000 . 000

350. 14.2164 1299.4912 .0363 91 .407866 .993 .013 000 . 000

355. 14.0562 1283.0370 .0362 91 .279054 .992 .016 000 . 000

360. 13.8895 1265.6863 .0361 91 .125606 .990 .019 000 . 000

364.09 13.7474 1250.7191 .0360 90.978912 .989 .022 001 . 000

364.09 .5632 38.1505 .8777 67.742207 .641 .719 000 . 000

365. .5601 37.7243 .8825 67.355894 .634 .734 000 . 000

370. .5441 35.5561 .8961 65.344964 .591 .818 000 . 000

375. .5298 33.7115 .9081 63.635454 .551 .905 000 . 000

380. .5167 31 .6828 .9188 61 .316399 .501 .993 004 .002

385. .5048 30.1125 .9283 59.654272 .458 1.082 002 .001 390. .4938 28.6427 .9368 58.001775 .415 1.169 002 .001 395. .4837 27.3203 .9443 56.481964 .372 1.254 002 .001 400. .4743 26. 1307 .9509 55.092248 .331 1.334 003 .002

405. .4656 25.0741 .9568 53.858038 .293 1.410 003 .002

410. .4574 24.1978 .9621 52.905483 .260 1.483 000 . 000

415. .4497 23.2899 .9667 51 .789401 .226 1.544 005 .002

420. .4425 22.5398 .9708 50.939491 .197 1.601 006 .003

425. .4357 21 .8723 .9744 50.204688 . 171 1.652 007 .003

430. .4292 21 .2761 .9775 49.570452 .148 1.697 .008 .004

435. .4231 20.741.9803 49.023648 .127 1.736 ,009 .004

440. .4173 20.2593 .9827 48.553693 .110 1.770 .010 .005

445. .4117 19.8230 .9848 48.149590 .095 1.799 .01

.006

450. .4064 19.4259 .9865 47.802004 .082 1.824 .013 .007

455. .4013 19.0623 .9881 47.502516 .070 1.845 .015 .007

460. .3964 18.7275 .9894 47.243589 .061 1.862 .017 .008

465. .3917 18.4171 .9905 47.018438 .052 1.877 .019 .009

470. .3872 18.1280 .9914 46.822153 .045 1.889 .021 .010

475. .3828 17.8570 .9922 46.649224 .039 1.899 .023 .012

480. .3786 17.6014 .9929 46.495654 .034 1 .906 .026 .013

485. .3745 17.3591 .9934 46.358096 .029 1.913 .029 .014

490. .3705 17.1285 .9938 46.233466 .026 1.917 .032 .016

495. .3666 16.9077 .9942 46.119288 .022 1 .921 .035 .017

500. .3628 16.6957 .9944 46.013410 .019 1 .923 .038 .019

505. .3592 16.4911 .9946 45.914074 .017 1 .924 .042 .021 510. .3556 16.2930 .9948 45.819677 .015 1 .924 . 046 .023

515. .3521 16. 1007 .9950 45.728965 .013 1 .923 .051 .025

520. .3487 15.9133 .9951 45.640778 .01

1 .922 .055 .028

525. .3453 15.7303 .9952 45.554168 .010 1 .920 .060 .030

530. .3420 15.5511 .9953 45.468299 .009 1.917 .065 .033

535. .3388 15.3753 .9953 45.382544 .008 1.913 .071 .035

540. .3356 15.2024 .9955 45.296202 .007 1 .909 .077 .038

545. .3325 15.0321 .9956 45.208781 .006 1 .904 .083 .042

550. .3294 14.8641 .9957 45.119829 .006 1 .899 .090 .045

38
2.0 MPa Isobar

Temp Dens i ty Z Molecular Compos

it i on

K mo 1 /L kg/rrr moss N204 N02 NO 02

295. 15.6972 1443.4760 .0519 91 .957570 .999 .001 . 000 . 000

300. 15.5782 1432.3376 .0515 91 .945137 .999 .002 . 000 .000

305. 15.4580 1421 .0227 .0510 91 .928070 .999 .002 . 000 .000

310. 15.3357 1409.4395 .0506 91 .905732 .999 .002 . 000 . 000

315. 15.2107 1397.5212 .0502 91 .877543 .998 .003 . 000 . 000

320. 15.0825 1385.1751 .0498 91 .840051 .998 .004 . 000 . 000

325. 14.9507 1372.4651 .0495 91 .799336 .998 .005 . 000 . 000

330. 14.8151 1359.2692 .0492 91 .748733 .997 .006 . 000 . 000

335. 14.6755 1345.5535 .0489 91 .687093 .996 .007 . 000 . 000

340. 14.5316 1331 .2805 .0487 91 .612836 .996 .009 . 000 . 000

345. 14.3831 1316.3781 .0485 91 .522793 .995 .011 . 000 . 000

350. 14.2295 1300.8248 .0483 91 .417473 .994 .013 . 000 . 000

355. 14.0703 1284.5008 .0482 91 .291494 .992 .015 . 000 . 000

360. 13.9048 1267.3064 .0481 91 .141682 .991 .019 . 000 . 000

365. 13.7317 1249.0908 .0480 90.964106 .989 .022 . 000 . 000

370. 13.5495 1229.6755 .0480 90.753978 .986 .027 .001 . 000

373.17 13.4286 1216.6527 .0478 90.601381 .985 .030 .001 . 000

373.17 .7543 50. 1946 .8504 66.547035 .617 .766 . 000 . 000

375. .7446 49.0255 .8615 65.838819 .602 .796 . 000 . 000

380. .7207 46.0186 .8783 63.852596 .559 .880 .001 .001 385. .6996 43.3827 .8931 62.008594 .517 .965 .001 .001 390. .6808 41 .0216 .9059 60.251390 .474 1 .051 .002 .001 395. .6639 38.9117 .9172 58.607262 .431 1.136 .002 .001 400. .6486 37.0245 .9272 57.082739 .389 1 .219 .002 .001 405. .6346 35.3423 .9359 55.691025 .349 1 .299 .003 .001 410. .6218 33.8406 .9436 54.427570 .311 1 .374 .004 .002

415. .6099 32.5050 .9504 53.297536 .276 1 .444 .004 .002

420. .5989 31 .5579 .9564 52.696736 .248 1.517 . 000 . 000

425. .5886 30.2593 .9616 51 .409863 .213 1 .568 .006 .003

430. .5790 29.3208 .9662 50.641949 .186 1 .620 .007 .003

435. .5700 28.4815 .9702 49.970867 .162 1 .667 .008 .004

440. .5615 27.7285 .9737 49.386251 .141 1 .709 .009 .004

445. .5534 27.0515 .9767 48.880034 .123 1 .745 .010 .005

450. .5458 26.4402 .9794 48.442253 .106 1 .776 .012 .006

455. .5386 25.8854 .9816 48.063595 .092 1 .803 .013 .007

460. .5317 25.3793 .9836 47.735823 .080 1 .826 .015 .007

465. .5251 24.9147 .9852 47.451232 .069 1 .845 .017 .008

470. .5187 24.4860 .9866 47.203381 .060 1 .861 .019 .009

475. .5127 24.0880 .9878 46.986316 .052 1 .875 .021 .010

480. .5068 23.7164 .9888 46.795314 .045 1 .886 .023 .012

485. .5012 23.3674 .9896 46.625792 .039 1 .896 .026 .013

490. .4957 23.0379 .9903 46.474256 .034 1 .903 .028 .014

495. .4904 22.7252 .9909 46.337448 .030 1 .909 .031 .016

500. .4853 22.4270 .9913 46.212714 .026 1 .913 .035 .017

505. .4803 22.1414 .9917 46.097748 .023 1.916 .038 .019

510. .4755 21 .8666 .9920 45.990628 .020 1.918 .042 .021 515. .4707 21 .601

.9923 45.889644 .018 1 .919 .046 .023

520. .4661 21 .3439 .9925 45.793403 .016 1 .919 .050 .025

525. .4616 21 .0937 .9927 45.700659 .014 1 .918 .054 .027

530. .4571 20.8497 .9929 45.610371 .012 1.917 .059 .030

535. .4528 20.6110 .9930 45.521627 .01 1 1 .914 .064 .032

540. .4485 20.3769 .9932 45.433710 .009 1.911 .070 .035

545. .4443 20. 1470 .9934 45.345886 .008 1 .908 .075 .038

550. .4402 19.9205 .9936 45.257604 .007 1 .904 .081 .041

39
3.0 MPa Isobar

T emp Dens i ty Z Molecular Compos i t i on

K mo 1 /L kg/m

° mass N204 N02 NO 02

295 . 15.7110 1444.7583 .0779 91 .958279 .999 .001 . 000 . 000

300 . 15.5927 1433.6867 .0771 91 .946177 .999 .002 . 000 . 000

305 . 15.4732 1422.4465 .0765 91 .929533 .999 .002 . 000 . 000

310 . 15.3518 1410.9454 .0758 91 .907702 .999 .002 .000 . 000

315 . 15.2276 1399.1167 .0752 91 .880113 .999 .003 . 000 . 000

320 . 15. 1004 1386.9094 .0747 91 .846066 .998 .004 . 000 .000

325 . 14.9696 1374.2649 .0742 91 .803478 .998 .005 . 000 . 000

330 . 14.8352 1361 . 1887 .0737 91 .754075 .997 .006 . 000 . 000

335 . 14.6968 1347.6084 .0733 91 .693919 .997 .007 . 000 . 000

340 . 14.5543 1333.4842 .0729 91 .621530 .996 .008 . 000 . 000

345 . 14.4073 1318.7678 .0726 91 .534966 .995 .010 . 000 . 000

350 . 14.2554 1303.3951 .0723 91 .431504 .994 .013 . 000 . 000

355 . 14.0983 1287.3049 .0721 91.309299 .992 .015 . 000 . 000

360 . 13.9350 1270.3789 .0719 91 .164309 .991 .018 . 000 . 000

365 . 13.7647 1252.4909 .0718 90.992783 .989 .022 . 000 . 000

370 . 13.5859 1233.4685 .0718 90.790288 .987 .026 . 000 . 000

375 . 13.3968 1213.0976 .0718 90.551383 .984 .031 .000 . 000

380 . 13.1945 1191 .0705 .0720 90.270154 .981 .037 .001 . 000

385 . 12.9751 1166.9643 .0722 89.938573 .977 .045 .001 . 000

386.57 12.9020 1158.8981 .0717 89.822986 .976 .047 .001 . 000

386.57 1.1554 75.0995 .8007 64.997429 .585 .829 .001 .001 390 . 1.1199 71 .3879 .8261 63.744765 .557 .885 .001 .001 395 . 1 .0760 66.6890 .8490 61 .979408 .516 .966 .002 .001 400 . 1 .0389 62.6492 .8683 60.302769 .475 1 .048 .002 .001 405 . 1 .0069 59.1335 .8848 58.725980 .434 1.129 .002 .001 410 . .9789 56.0546 .8990 57.261377 .394 1 .208 .003 .001 415 . .9541 53.3470 .9113 55.915439 .356 1 .285 .003 .002

420 . .9318 50.9587 .9220 54.689776 .319 1 .357 .004 .002

425 . .9116 48.8499 .9313 53.585677 .285 1 .425 .005 .002

430 . .8933 46.9740 .9394 52.587177 .253 1 .488 .006 .003

435 . .8764 45.3299 .9464 51 .721720 .224 1 .545 .006 .003

440 . .8609 43.8608 .9526 50.948313 .198 1 .598 .007 .004

445 . .8465 42.5499 .9579 50.266384 .174 1 .644 .008 .004

450 . .8331 41 .3788 .9625 49.670096 .152 1 .686 .010 .005

455 . .8205 40.3271 .9665 49.148310 .133 1 .723 .011 .005

460 . .8087 39.3794 .9699 48.693160 .116 1 .755 .012 .006

465 . .7976 38.5209 .9729 48.295874 .102 1 .782 .014 .007

470 . .7871 37.7394 .9754 47.949145 .089 1 .807 .016 .008

475 . .7771 37.0243 .9776 47.646107 .078 1 .827 .018 .009

480 . .7675 36.3660 .9794 47.380143 .068 1 .845 .020 .010

485 . .7584 35.7568 .9809 47.146078 .059 1 .860 .022 .011 490 . .7497 35.1895 .9822 46.938890 .052 1 .872 .024 .012

495 . .7413 34.6584 .9833 46.754528 .045 1 .882 .027 .013

500 . .7332 34.1584 .9843 46.589248 .040 1 .891 .030 .015

505 . .7253 33.6852 .9850 46.439969 .035 1 .897 .033 .016

510 . .7178 33.2350 .9857 46.303932 .031 1 .903 .036 .018

515 . .7104 32.8046 .9863 46.178760 .027 1 .907 .039 .020

520 . .7032 32.3913 .9868 46.062577 .024 1 .909 .043 .021 525 . .6962 31 .9926 .9872 45.953508 .021 1.911 .047 .023

530 . .6893 31 .6066 .9876 45.850165 .019 1 .912 .051 .026

535 . .6826 31 .2314 .9880 45.751212 .017 1.911 .055 .028

540 . .6761 30.8655 .9884 45.655559 .015 1 .911 .060 .030

545 . .6696 30.5077 .9888 45.562274 .013 1 .909 .065 .033

550 . .6632 30.1567 .9892 45.470515 .012 1 .906 .070 .035

40
4.0 MPa Isobar

T emp Density Z Molecular Compos

it i on

K mo 1 /L kg/m'

5 mass N204 N02 NO 02

295 . 15.7248 1446. 1294 .1037 91 .964755 .999 .001 . 000 .000

300 . 15.6071 1435.031

. 1028 91 .947128 .999 .001 . 000 . 000

305 . 15.4884 1423.8634 .1018 91 .930850 .999 .002 . 000 . 000

310 . 15.3678 1412.4419 . 1010 91 .909461 .999 .002 . 000 . 000

315 . 15.2445 1400.6999 .1002 91 .882397 .999 .003 . 000 . 000

320 . 15.1182 1388.5871 .0994 91 .848977 .998 .004 . 000 . 000

325 . 14.9884 1376.0441 .0988 91 .807036 .998 .005 . 000 . 000

330 . 14.8551 1363.0824 .0981 91 .758649 .997 .006 . 000 .000

335 . 14.7179 1349.6285 .0976 91 . 699689 .997 .007 . 000 .000

340 . 14.5767 1335.6452 .0971 91 .628763 .996 .008 . 000 . 000

345 . 14.4312 1321 .0876 .0966 91 .544014 .995 .010 . 000 . 000

350 . 14.2810 1305.8959 .0963 91 .442779 .994 .012 . 000 .000

355 . 14.1258 1290.0164 .0959 91 .32341

.992 .015 . 000 . 000

360 . 13.9648 1273.3360 .0957 91 .181921 .991 .018 . 000 . 000

365 . 13.7971 1255.7394 .0955 91 .014757 .989 .022 . 000 .000

370 . 13.6215 1237 . 0/20 .0955 90.817696 .987 .026 . 000 .000

375 . 13.4362 1217.1282 .0955 90.585557 .984 .031 . 000 .000

380 . 13.2389 1195.6414 .0956 90.312782 .981 .037 . 000 .000

385 . 13.0260 1172.2320 .0959 89.991781 .978 .044 .001 .000

390 . 12.7923 1146.3642 .0964 89.613954 .974 .052 .001 .000

395 . 12.5293 1 117.2205 .0972 89.168751 .969 .062 .001 .001 396.52 12.4416 1107.5225 .0967 89.018020 .967 .065 .001 .001 396.52 1 .5894 101 .8788 .7567 64.099244 .565 .868 .001 .001 400 . 1 .5251 95.9121 .7886 62.887277 .538 .923 .002 .001 405 . 1.4515 88.7775 .8184 61 .164586 .497 1 .003 .003 .002

410 . 1 .3923 83.0160 .8428 59.625361 .458 1 .082 .002 .001 415 . 1 .3431 78.0906 .8631 58.142832 .419 1.160 .003 .001 420 . 1.3011 73.8608 .8804 56.766910 .381 1 .235 .003 .002

425 . 1 .2647 70.1976 .8951 55.505788 .344 1 .308 .004 .002

430 . 1.2326 67.0052 .9077 54.360981 .310 1 .376 .005 .002

435 . 1 .2040 64.2052 .9186 53.326659 .277 1 .440 .005 .003

440 . 1.1783 61 .7404 .9280 52.399376 .247 1 .499 .006 .003

445 . 1.1549 59.5631 .9361 51 .573209 .219 1 .554 .007 .004

450 . 1.1336 57.6327 .9431 50.840684 .194 1 .603 .008 .004

455 . 1.1140 55.9148 .9492 50.193718 .172 1 .647 .010 .005

460 . 1 .0958 54.3797 .9544 49.623928 .151 1 .687 .01

.005

465 . 1 .0790 53.0024 .9589 49.123422 .133 1 .722 .012 .006

470 . 1 .0632 51 .7605 .9628 48.683767 .117 1 .752 .014 .007

475 . 1 . 0484 50.6357 .9661 48.298200 .103 1 .779 .016 .008

480 . 1 .0344 49.6109 .9689 47.959167 .090 1 .802 .017 .009

485 . 1 .0212 48.6728 .9713 47.661064 .079 1 .822 .019 .010

490 . 1 .0087 47.8087 .9734 47.397816 .069 1 .839 .022 .011 495 . .9967 47.0084 .9751 47.164667 .061 1 .854 .024 .012

500 . .9852 46.2628 .9766 46.957131 .054 1 .866 .026 .013

505 . .9742 45.5643 .9779 46.771358 .047 1 .876 .029 .015

510 . .9636 44.9061 .9790 46.604001 .042 1 .885 .032 .016

515 . .9533 44.2827 .9799 46.452111 .037 1 .891 .035 .018

520 . .9433 43.6889 .9808 46.313127 .032 1 .897 .039 .019

525 . .9337 43.1205 .9815 46.184901 .029 1 .901 .042 .021 530 . .9242 42.5740 .9822 46.065466 .025 1 .903 .046 .023

535 . .9150 42.0461 .9828 45.953217 .023 1 .905 .050 .025

540 . .9059 41 .5340 .9834 45.846704 .020 1 .906 .054 .027

545 . .8971 41 .0355 .9840 45.744702 .018 1 .906 .059 .029

550 . .8883 40.5484 .9847 45.646136 .016 1 .905 .063 .032

41
5.0 MPa Isobar

T emp Density Z Molecular Compos

t i on

K mo l/L kg/m

J mass N204 N02 NO 02

295 . 15.7386 1447.4097 .1295 91 .965562 .999 .001 . 000 . 000

300 . 15.6216 1436.4257 .1283 91 .951489 .999 .001 . 000 . 000

305 . 15.5036 1425.2747 .1272 91 .932097 .999 .002 . 000 . 000

310 . 15.3837 1413.9307 .1261 91.911112 .999 .002 . 000 . 000

315 . 15.2613 1402.2731 .1251 91 .884526 .999 .003 .000 . 000

320 . 15.1358 1390.2523 .1242 91 .851681 .998 .004 . 000 . 000

325 . 15.0071 1377.8278 .1233 91 .811657 .998 .004 . 000 . 000

330 . 14.8748 1364.9564 .1225 91 .762831 .997 .005 . 000 .000

335 . 14.7388 1351 .6243 .1218 91 .704950 .997 .007 . 000 . 000

340 . 14.5989 1337.7761 .1212 91 .635314 .996 .008 . 000 . 000

345 . 14.4548 1323.3700 .1206 91 .552138 .995 .010 . 000 . 000

350 . 14.3063 1308.3591 .1201 91 .453217 .994 .012 . 000 . 000

355 . 14.1529 1292.6687 . 1197 91 .335848 .993 .015 . 000 . 000

360 . 13.9940 1276.2184 . 1194 91 .197302 .991 .018 . 000 . 000

365 . 13.8289 1258.8930 . 1191 91 .033769 .989 .021 . 000 . 000

370 . 13.6563 1240.5501 .1190 90.841192 .987 .025 . 000 . 000

375 . 13.4747 1221 .0011 . 1190 90.614588 .985 .030 . 000 .000

380 . 13.2819 1200.0048 . 1192 90.348639 .982 .036 . 000 .000

385 . 13.0750 1177.2231 . 1195 90.036258 .978 .043 . 000 .000

390 . 12.8493 1152.1840 .1200 89.669126 .974 .051 .001 . 000

395 . 12.5978 1124.1901 .1209 89.237334 .969 .061 .001 .000

400 . 12.3086 1092.1163 .1221 88.728242 .963 .072 .001 .001 404.50 1 1 .9977 1058.0860 .1238 88.190543 .957 .084 .001 .001 404.50 2.0678 131 .3693 .7181 63.531909 .552 .894 .002 .001 405 . 2.0500 129.9226 .7243 63.375752 .549 .901 .002 .001 410 . 1.9072 117.6719 .7690 61.697303 .510 .979 .002 .001 415 . 1 .8047 108.4940 .8029 60.117167 .471 1 .056 .002 .001 420 . 1 .7250 101 .1392 .8301 58.632066 .432 1.133 . 003. .001 425 . 1 .6601 95.0427 .8524 57.252220 .395 1 .207 .003 .002

430 . 1 .6056 89.8831 .8710 55.981292 .358 1.279 .004 .002

435 . 1 .5589 85.4546 .8868 54.818759 .324 1 .347 .005 .002

440 . 1 .5181 81 .6200 .9003 53.764937 .291 1 .412 .006 .003

445 . 1 .4821 78.2686 .9118 52.811022 .261 1 .471 .007 .003

450 . 1 .4498 75.3406 .9217 51 .964690 .233 1 .526 .008 .004

455 . 1 .4208 72.7539 .9303 51 .206706 .207 1 .577 .009 .004

460 . 1 .3944 70.4636 .9376 50.534515 .184 1 .622 .010 .005

465 . 1 .3702 68.4234 .9439 49.938065 .163 1 .663 .011 .006

470 . 1 .3479 66.6005 .9493 49.412147 .144 1 .699 .013 .006

475 . 1 .3272 64.9619 .9539 48.947767 .127 1 .732 .014 .007

480 . 1 .3079 63.4821 .9579 48.538212 .112 1 .760 .016 .008

485 . 1 .2898 62.1388 .9613 48.177181 .099 1 .785 .018 .009

490 . 1 .2728 60.9125 .9643 47.858227 .087 1 .806 .020 .010

495 . 1 .2567 59.7867 .9668 47.575928 .077 1 .825 .022 .011 500 . 1.2413 58.7472 .9689 47.325300 .068 1 .840 .024 .012

505 . 1 .2267 57.7817 .9707 47. 101901 .060 1 .854 .027 .013

510 . 1.2127 56.8796 .9723 46.901817 .053 1 .865 .029 .015

515 . 1 .1993 56.0320 .9737 46.72161

.047 1 .875 .032 .016

520 . 1.1863 55.2309 .9749 46.558232 .041 1 .882 .035 .018

525 . 1.1737 54.4695 .9760 46.409025 .037 1 .888 .039 .019 530 . 1.1614 53.7422 .9769 46.271748 .032 1 .893 .042 .021 535 . 1 .1495 53.0437 .9779 46.144339 .029 1 .897 .046 .023

540 . 1.1379 52.3699 .9787 46.025100 .026 1 .899 .050 .025

545 . 1.1264 51 .7168 .9796 45.912502 .023 1 .901 .054 .027

550 . 1.1152 51 .0814 .9805 45.805242 .020 1 .901 .058 .029

42
6.0 MPa Isobar

T emp Dens i ty Z Molecular Compos i t i on

K mo 1 /L kg/nr mass N204 N02 NO 02

295. 15.7524 1448.6882 .1553 91 .966342 .999 .001 . 000 . 000

300'. 15.6360 1437.7653 .1538 91 .952505 .999 .001 . 000 . 000

305. 15.5187 1426.6810 .1525 91 .933294 .999 .002 . 000 . 000

310. 15.3995 1415.4127 .1512 91 .912692 .999 .002 . 000 . 000

315. 15.2779 1403.8375 .1500 91 .886555 .999 .003 . 000 . 000

320. 15.1534 1391 .9062 .1488 91 .854246 .998 . 004 . 000 . 000

325. 15.0257 1379.5791 .1478 91 .814874 .998 .004 . 000 . 000

330. 14.8944 1366.8132 .1468 91 .766758 .997 .005 . 000 . 000

335. 14.7596 1353.5990 .1460 91 .709881 .997 .007 . 000 . 000

340. 14.6209 1339.8813 .1452 91 .641441 .996 .008 . 000 . 000

345. 14.4782 1325.621

.1445 91 .559705 .995 .010 . 000 . 000

350. 14.3313 1310.7752 .1439 91 .462538 .994 .012 . 000 . 000

355. 14.1797 1295.2731 . 1434 91 .347302 .993 .014 . 000 . 000

360. 14.0228 1279.0407 .1430 91 .211362 .991 .017 . 000 . 000

365. 13.8600 1261 .9716 .1426 91 .051081 .989 .021 . 000 . 000

370. 13.6903 1243.9330 .1425 90.862461 .987 .025 . 000 . 000

375. 13.5122 1224.7541 .1424 90.640874 .985 .030 . 000 . 000

380. 13.3237 1204.2096 .1425 90.380783 .982 .036 . 000 . 000

385. 13.1223 1182.0013 .1428 90.075826 .979 .042 . 000 . 000

390. 12.9039 1157.7102 . 1434 89.717944 .975 .050 .001 . 000

395. 12.6625 1130.7340 . 1443 89.297637 .970 .060 .001 . 000

400. 12.3885 1100.1390 .1456 88.803223 .964 .071 .001 . 000

405. 12.0644 1064.3212 .1477 88.219772 .958 .084 .001 .001 410. 11 .6541 1020.0616 .1510 87.528243 .949 .100 .001 .001 411.20 1 1 .5348 1007.4897 .1508 87.343706 .947 . 104 .002 .001 411.20 2.6096 164.8737 .6664 63.180859 .545 .909 .002 .001 415. 2.4111 149.3189 .7212 61 .928589 .515 .967 .002 .001 420. 2.2411 135.2683 .7667 60.356731 .477 1 .044 .003 .001 425. 2.1199 124.8188 .8010 58.878748 .439 1.119 .003 .002

430. 2.0262 116.5119 .8283 57.503469 .402 1 .193 .004 .002

435. 1 .9502 109.6538 .8507 56.228153 .366 1 .264 .004 .002

440. 1 .8866 103.8943 .8694 55.070161 .332 1 .332 .005 .003

445. 1 .8322 98.9619 .8851 54.012781 .299 1 .395 .006 .003

450. 1 .7849 94.6958 .8985 53.054839 .269 1 .455 .007 .003

455. 1 .7431 90.9395 .9099 52.170750 .241 1 .510 .009 .004

460. 1 .7059 87.7321 .9197 51 .429964 .215 1 .560 .009 .004

465. 1 .6723 84.8594 .9280 50.744417 . 192 1 .606 .010 .005

470. 1.6418 82.3142 .9352 50.136742 .170 1 .648 .011 .006

475. 1.6139 80.0439 .9414 49.597234 .151 1 .685 .013 .006

480. 1 .5881 78.0092 .9467 49.119558 .134 1.718 .015 .007

485. 1 .5643 76.1759 .9512 48.696894 .119 1 .747 .016 .008

490. 1 .5420 74.5150 .9551 48.322828 . 105 1.772 .018 .009

495. 1.5211 73.0019 .9584 47.991436 .093 1 .794 .020 .010

500. 1.5015 71 .6154 .9613 47.697317 .082 1.814 .022 .01

505. 1 .4828 70.3373 .9637 47.435572 .073 1 .830 .025 .012

510. 1 .4650 69.1521 .9658 47.201831 .064 1 .845 .027 .014

515. 1 .4480 68.0465 .9677 46.992182 .057 1 .857 .030 .015

520. 1.4317 67.0088 .9693 46.803167 .050 1 .867 .033 .016

525. 1.4160 66.0293 .9708 46.631774 .045 1 .875 .036 .018

530. 1 .4007 65.0992 .9721 46.475306 .040 1 .882 .039 .020

535. 1 .3859 64.2112 .9733 46.331435 .035 1 .887 .043 .021 540. 1.3715 63.3588 .9744 46.198115 .031 1 .891 .046 .023

545. 1 .3573 62.5367 .9755 46.073597 .028 1 .894 .050 .025

550. 1 .3434 61 .7399 .9767 45.956302 .025 1 .896 .054 .027

43
8.0 MPa Isobar

T emp Dens i ty Z Molecular Compos i

i on

K mo l/L kg/mJ mass N204 N02 NO 02

295. 15.7799 1451 .2404 .2067 91 .967828 . 999 .001 000 . 000

500. 15.6647 1440.4354 . 2047 91 .954443 .999 . 001 000 . 000

305. 15.5487 1429.5103 .2029 91 .937512 .999 .002 000 . 000

310. 15.4311 1418.3583 .201 1 91 ,915695 .999 .002 000 . 000

315. 15.3111 1406.9422 .1995 91 .890399 .999 .003 . 000 . 000

320. 15.1883 1395. 1834 .1980 91 .859082 .998 .003 000 . 000

325. 15.0624 1383.0440 .1966 91 .820913 .998 . 004 000 . 000

330. 14.9332 1370.4805 . 1953 91 .774087 .997 .005 . 000 . 000

335. 14.8005 1357.4921 .1941 91 .719061 .997 .006 . 000 . 000

340. 14.6643 1344.0236 .1930 91 .652822 .996 .008 . 000 .000

345. 14.5243 1330.0428 .1920 91 .573730 .995 .010 000 . 000

350. 14.3803 1315.5069 .1912 91 .479749 .994 .012 000 . 000

355. 14.2321 1300.3587 . 1904 91 .368309 .993 .014 000 . 000

360. 14.0791 1284.5350 . 1898 91 .2371 15 .992 .017 000 . 000

365. 13.9208 1267.9408 .1894 91 .082553 .990 . 020 000 .000

370. 13.7563 1250.4627 .1890 90.900908 .988 .024 000 . 000

375. 13.5846 1231 .9554 .1889 90.687850 .985 .029 000 . 000

380. 13.4040 1212.2302 .1889 90.438212 .983 .034 000 . 000

385. 13.2124 1191 .0429 .1892 90. 146119 .979 .041 000 . 000

390. 13.0067 1168.0602 . 1897 89.804164 .976 .048 000 . 000

395. 12.7827 1142.8225 .1906 89.403698 .971 .057 001 . 000

400. 12.5335 1 114.6581 .1919 88.934194 .966 .068 001 . 000

405. 12.2480 1082.5074 .1940 88.382319 .959 .081 .001 . 000

410. 1 1 .9059 1044.5231 . 1971 87.731502 .952 .096 .001 .001 415. 1 1 .4637 996.8775 .2023 86.959715 .943 .114 .001 .001 420. 10.7954 928.8116 .2122 86.037682 .931 .136 .002 .001 422.07 10.3501 885.9835 .2187 85.601670 .926 .146 .002 .001 422.07 4.0268 253.5204 .5622 62.958868 .540 .919 .002 .001 425. 3.5285 218.7419 .6416 61 .992340 .517 .964 .003 .001 430. 3.1420 189.8374 .7122 60.419483 .479 1.040 .003 .002 435. 2.9138 171 .7709 .7591 58.950240 .441 1.115 .004 .002 440. 2.7526 158.5162 .7945 57.588131 . 404 1.187 .004 .002 445. 2.6289 148.0960 .8225 56.333658 .369 1 .257 .005 .002 450. 2.5294 139.5867 .8454 55. 186570 .336 1 .323 .006 .003

455. 2.4466 132.4670 .8643 54.143086 .304 1 .386 .007 .003

460. 2.3762 126.4092 .8803 53.198236 .274 1 . 444 .008 .004 465. 2.3152 121 . 1928 .8938 52.346963 .247 1 .498 .009 .004 470. 2.2616 116.6656 .9052 51 .586403 .221 1 .548 .010 .005

475. 2.2139 112. 6939 .9150 50.904031 .198 1 .593 .01

.006 480. 2.1710 109.1889 .9234 50.294956 .177 1 .634 .013 .006 485. 2.1321 106.0765 .9305 49.752639 .158 1 .671 .014 .007 490. 2.0965 103.2952 .9366 49.270013 . 140 1 .704 .016 .008 495. 2.0637 100.7950 .9419 48.840795 . 125 1 .733 .018 .009 500. 2.0333 98.5340 .9464 48.459022 .111 1 .759 .020 .010 505. 2.0050 96.4769 .9503 48.119109 .099 1 .781 .022 .011 510. 1 .9783 94.5938 .9537 47.815978 .088 1 .801 .024 .012 515. 1 .9531 92.8593 .9566 47.545000 .078 1.818 .026 .013 520. 1 .9291 91 .2516 .9592 47.302018 .069 1 .833 .029 .014 525. 1 .9062 89.7519 .9614 47.083300 .061 1 .845 .032 .016 530. 1 .8843 88.3442 .9635 46.885505 .055 1 .856 .035 .017 535. 1 .8630 87.0145 .9654 46.705681 .049 1 .865 .038 .019 540. 1 .8425 85.7510 .9671 46.541242 .043 1 .872 .041 .021 545. 1 .8225 84.5433 .9687 46.389871 .039 1 .878 .045 .022 550. 1 .8029 83.3826 .9704 46.249564 .035 1 .882 .048 .024

44
10.0 MPa Isobar

T emp Dens i ty Z Molecular Compos

i t i on

K mo l/L kg/rrr mass N204 N02 NO 02

295. 15.8073 1453.7879 .2579 91 .969225 .999 .001 . 000 . 000

300. 15.6933 1443.0952 .2555 91 .956272 .999 .001 . 000 . 000

305. 15.5786 1432.2961 .2531 91 .939842 .999 .002 . 000 . 000

310. 15.4624 1421 .2812 .2509 91 .918518 .999 .002 . 000 . 000

315. 15.3440 1410.0175 .2488 91 .894014 .999 .003 . 000 . 000

320. 15.2228 1398.4235 .2469 91 .863620 .998 .003 . 000 . 000

325. 15.0987 1386.4628 .2451 91 .826557 .998 .004 . 000 .000

330. 14.9714 1374. 1043 .2434 91 .781761 .997 .005 . 000 .000

335. 14.8409 1361 .3171 .2419 91 .727586 .997 .006 . 000 . 000

340. 14.7069 1348.0836 .2405 91 .663351 .996 .008 . 000 . 000

345. 14.5694 1334.3635 .2393 91 .586673 .995 .009 ,000 . 000

350. 14.4282 1320.1194 .2382 91 .495597 .994 .01 1 . 000 .000

355. 14.2831 1305.2987 .2372 91 .387516 .993 .014 . 000 . 000

360. 14.1337 1289.8524 .2364 91 .260613 .992 .016 . 000 . 000

365. 13.9795 1273.6927 .2357 91.111143 .990 .020 . 000 . 000

370. 13.8199 1256.7232 .2352 90.935720 .988 .024 . 000 . 000

375. 13.6539 1238.8179 .2349 90.730168 .986 .028 . 000 . 000

380. 13.4802 1219.8171 .2348 90.489654 .983 .033 . 000 . 000

385. 13.2971 1199.5179 .2349 90.208701 .980 .040 . 000 . 000

390. 13.1024 1177.6507 .2354 89.880545 .976 .047 . 000 . 000

395. 12.8926 1153.8526 .2362 89.497082 .972 .055 . 000 . 000

400. 12.6630 1127.6195 .2375 89.048665 .967 .066 .001 . 000

405. 12.4058 1098.2095 .2394 88.523545 .961 .078 .001 . 000

410. 12.1088 1064.4401 .2423 87.906668 .954 .092 .001 . 000

415. 1 1 .7485 1024.2245 .2467 87.179235 .945 .109 .001 .001 420. 11 .2746 973. 1791 .2540 86.316083 .935 .129 .001 .001 425. 10.5413 898.9936 .2685 85.282728 .922 . 155 .002 .001 430. 8.7092 731 .8331 .3212 84.029884 .906 . 186 .002 .001 430.76 7.5646 634.0359 .3655 83.816580 .903 . 191 .002 .001 430.76 7.5630 479.2393 .3656 63.366234 .549 .899 .003 .001 435. 4.4711 276.4715 .6184 61 .835070 .513 .970 .003 .002

440. 3.9411 237.2536 . 6936 60.200238 .473 1 .050 .004 .002

445. 3.6338 213.3398 .7438 58.710039 .435 1.126 .004 .002

450. 3.4199 196.1479 .7815 57.354089 .398 1.199 .005 .003

455. 3.2580 182.8289 .8114 56.117553 .363 1 . 268 .006 .003

460. 3.1289 172.0742 .8356 54.994837 .330 1 .333 .007 .003

465. 3.0226 163. 1544 .8557 53.978963 .299 1 .394 .008 .004

470. 2.9327 155.6165 .8726 53.062537 .270 1 .451 .009 .004

475. 2.8553 149. 1495 .8868 52.235510 .243 1 .503 .010 .005

480. 2.7877 143.5653 .8989 51 .500127 .219 1 .551 .01 1 .006

485. 2.7277 138.6751 .9091 50.838748 .196 1 .595 .013 .006

490. 2.6741 134.3665 .9179 50.247820 .176 1 .634 .014 .007

495. 2.6255 130.5426 .9254 49.720236 .157 1 . 670 .016 .008

500. 2.5813 127.1258 .9319 49.249535 . 140 1 .702 .018 .009

505. 2.5405 124.0530 .9375 48.829627 .125 1 .730 .019 .010

510. 2.5028 121 .2715 .9423 48.454785 .112 1 .755 .022 .01

515. 2.4675 118.7373 .9465 48.119802 .100 1 .777 .024 .012

520. 2.4344 116.4136 .9501 47.819888 .089 1 .796 .026 .013

525. 2.4031 114.2687 .9533 47.550730 .079 1.813 .029 .014

530. 2.3733 112.2759 .9562 47.308417 .071 1 .827 .031 .016

535. 2.3447 110.4121 .9588 47.089438 .063 1 .840 .034 .017

540. 2.3173 108.6575 .9612 46.890664 .056 1 .850 .037 .019

545. 2.2907 106.9952 .9634 46.709323 .050 1 .859 .040 . 020

550. 2.2648 105.4105 .9656 46.542939 .045 1 .866 .044 .022

45
12.0 MPa Isobar

Temp [ K mo 1 /L

295. 15.8348

300. 15.7218

305. 15.6084

310. 15.4935

315. 15.3766

320. 15.2570

325. 15.1346

330. 15.0092

335. 14.8806

340. 14.7488

345. 14.6137

350. 14.4751

355. 14.3330

360. 14.1869

365. 14.0365

370. 13.8813

375. 13.7204

380. 13.5529

385. 13.3774

390. 13.1920

395. 12.9942

400. 12.7804

405. 12.5452

410. 12.2804

415. 1 1 .9720

420. 1 1 .5945

425. 1 1 .0924

430. 10.3163

435. 8.7661

440. 6.0390

445. 5.0327

450. 4.5415

455. 4.2227

460. 3.9908

465. 3.8111

470. 3.6660

475. 3.5454

480. 3.4430

485. 3.3545

490. 3.2768

495. 3.2079

500. 3.1460

505. 3.0898

510. 3.0385

515. 2.9912

520. 2.9472

525. 2.9060

530. 2.8671

535. 2.8302

540. 2.7950

545. 2.7611

550. 2.7283

ns i ty Z kg/m^

1456.3328 .3090

1445.7465 .3060

1435.0678 .3032

1424. 1838 .3005

1413.0660 .2980

1401 .6297 .2956

1389.8396 .2934

1377.6665 .2914

1365.0802 .2895

1352.0690 .2878

1338.5946 .2863

1324.6243 .2849

1310.1159 .2837

1295.0129 .2826

1279.2545 .2817

1262.7497 .2810

1245.3896 .2805

1227.0384 .2802

1207.5224 .2802

1186.6215 .2805

1164.0426 .2812

1139.3949 .2823

1112.1313 .2841

1081 .4405 .2867

1046.0323 .2905

1003.6137 .2964

949.4295 .3062

871 .0430 .3254

727.7834 .3785

490.7429 .5432

310.3122 .6445

271 .7313 .7062

246.1271 .7512

227.1682 .7862

212.2967 .8144

200.2137 .8377

190.1575 .8570

181 .6407 .8733

174.3313 .8871

167.9895 .8989

162.4343 .9089

157.5300 .9176

153.1667 .9250

149.2573 .9314

145.7307 .9369

142.5275 .9418

139.5982 .9460

136.9014 .9498

134.4014 .9532

132.0682 .9563

129.8758 .9591

127.8020 .9618

Molecular

mass N204

91.970541 1.000

91.958001 .999

91.942049 .999

91.921182 .999

91.897434 .999

91.867912 .998

91.831884 .998

91.788343 .998

91.735605 .997

91.673226 .996

91.598778 .995

91.510392 .994

91.405853 .993

91.282417 .992

91.137667 .990

90.967891 .989

90.769151 .986

90.536951 .984

90.265953 .981 89.950054 .977

89.581658 .973

89.151902 .968

88.650041 .962

88.062637 .955

87.372978 .947

86.559246 .938

85.592833 .926

84.433574 .911 83.022166 .893

81.262912 .869

61.659252 .510

59.832521 .464

58.286546 .424

56.923258 .387

55.705360 .352

54.613731 .319

53.634406 .289

52.756179 .261 51.969640 .235

51.265943 .212

50.636318 .190

50.073816 .170

49.571090 .153

49.121796 .137

48.720130 .122

48.360576 .109

48.038235 .098

47.748670 .087

47.487829 .078

47.252075 .070

47.038161 .062

46.843199 .056

Compos i

i on N02 NO 02

.001 000 . 000

.001 000 . 000

.002 . 000 . 000

.002 . 000 . 000

.003 . 000 . 000

.003 . 000 . 000

.004 000 . 000

.005 000 . 000

.006 . 000 . 000

.007 000 . 000

.009 000 . 000

.011 000 . 000

.013 000 . 000

.016 . 000 . 000

.019 000 . 000

.023 000 . 000

.027 000 . 000

.032 000 . 000

.038 000 . 000

.045 000 . 000

.054 . 000 . 000

.063 000 . 000

.075 001 . 000

.088 001 . 000

. 105 001 . 000

.124 001 .001 .147 001 .001 .176 002 .001 .212 002 .001 .259 003 .001 .977 004 .002

1.067 004 .002

1.147 005 .003

1.221 006 .003

1.290 007 .003

1.354 008 .004

1.413 009 .004

1.468 010 .005

1.518 01.006

1.564 013 .006

1.606 014 .007

1.643 016 .008

1.677 018 .009

1.707 020 .010

1.734 .022 .011 1.758 024 .012

1.778 .026 .013

1.797 ,029 .014

1.813 031 .016

1.826 .034 .017

1.838 037 .019

1.848 .040 .020

46
14.0 MPa Isobar

T emp C K mo l/L

295. 15.8622

300. 15.7503

305. 15.6381

310. 15.5245

315. 15.4089

320. 15.2909

325. 15.1701

330. 15.0464

335. 14.9198

340. 14.7900

345. 14.6571

350. 14.5211

355. 14.3817

360. 14.2387

365. 14.0918

370. 13.9406

375. 13.7845

380. 13.6225

385. 13.4537

390. 13.2765

395. 13.0889

400. 12.8882

405. 12.6705

410. 12.4301

415. 12.1581

420. 11 .8395

425. 1 1 .4471

430. 10.9241

435. 10.1394

440. 8.8554

445. 7.1781

450. 6.0290

455. 5.3961

460. 4.9877

465. 4.6940

470. 4.4686

475. 4.2881

480. 4.1391

485. 4.0133

490. 3.9051

495. 3.8107

500. 3.7272

505. 3.6525

510. 3.5850

515. 3.5234

520. 3.4668

525. 3.4143

530. 3.3652

535. 3.3189

540. 3.2750

545. 3.2331

550. 3.1928

ns i ty Z kg/m^

1458.8769 .3598

1448.3914 .3564

1437.8274 .3530

1427.0864 .3499

1416.0902 .3469

1404.8047 .3441

1393.1776 .3415

1381.1817 .3391

1368.7859 .3369

1355.9857 .3349

1342.7434 .3330

1329.0308 .3313

1314.8109 .3298

1300.0318 .3285

1284.6450 .3274

1268.5677 .3264

1251.7050 .3257

1233.9395 .3253

1215.1222 .3251

1195.0696 .3252

1173.5419 .3257

1150.2256 .3266

1124.7017 .3281

1096.3851 .3304

1064.4050 .3337

1027.3868 .3386

982.9130 .3461

926.1837 .3585

846.4581 .3818

725.1807 .4322

573.4864 .5271

465.7315 .6206

331 .0845 .6858

295.5764 .7339

270.7336 .7714

251 .6951 .8017

236.4597 .8267

223.9148 .8475

213.3771 .8651

204.3793 .8800

196.6228 .8927

189.8522 .9035

183.8915 .9129

178.6022 .9210

173.8739 .9280

169.6159 .9340

165.7542 .9394

162.2278 .9441

158.9845 .9483

155.9808 .9521

153.1795 .9556

150.5489 .9589

Mo I ecu I ar mass N204

91 .971782 1 .000

91.959639 .999

91.944143 .999

91.924851 .999

91.900675 .999

91.871984 .998

91.836937 .998

91.794574 .998

91.743183 .997

91.682555 .996

91.610188 .996

91.524310 .995

91.422787 .994

91.302840 .992

91.162465 .991 90.997920 .989

90.805462 .987

90.580825 .984

90.318929 .981 90.014114 .978

89.659388 .974

89.246361 .969

88.765149 .964

88.203799 .957

87.547021 .949

86.776031 .940

85.865766 .929

84.783430 .915

83.481990 .899

81.891362 .878

79.893526 .850

77.247918 .811 61.356308 .503

59.260484 .450

57.676268 .408

56.325288 .370

55.143337 .335

54.097268 .304

53.167319 .275

52.336115 .248

51.597735 .223

50.937379 .201 50.347084 .181 49.819482 .162

49.347845 .145

48.925703 .130

48.547445 .117

48.208087 .105

47.902914 .094

47.627815 .084

47.379078 .075

47.153353 .067

Compos i

i on N02 NO 02

.001 . 000 . 000

.001 . 000 . 000

.002 . 000 . 000

.002 . 000 . 000

.003 . 000 . 000

.003 . 000 . 000

.004 000 . 000

.005 . 000 . 000

.006 . 000 . 000

.007 000 . 000

.009 000 . 000

.011 000 . 000

.013 . 000 . 000

.016 . 000 . 000

.019 000 . 000

.022 . 000 .000

.026 000 . 000

.031 000 . 000

.037 . 000 . 000

.044 000 . 000

.052 . 000 . 000

.061 000 . 000

.072 . 000 . 000

.085 . 001 . 000

.101 001 . 000

.119 001 . 000

.141 001 .001 .168 001 .001 .201 002 .001 .243 . 002 .001 .298 003 .001 .375 .,004 .002

.990 .005 .002

1.094 .006 .003

1.178 .006 .003

1.253 .007 .004

1.321 ,008 .004

1.383 .009 .005

1.440 .01

.005

1.493 .012 .006

1.540 .013 .007

1.583 .015 .007

1.622 .016 .008

1.658 .018 .009

1.689 .020 .010

1 .717 .022 .01

1 .742 .024 .012

1 .764 .027 .013

1 .783 .029 .015

1 .800 .032 .016

1 .815 .035 .017

1 .828 .038 .019

47
16.0 MPa Isobar

Temp Dens i ty Z Mo 1 ecu 1 a r Compos ii on

K mo l/L kg/mJ mass N204 N02 NO 02

295. 15.8897 1461 .4225 .4105 91 .972953 1 .000 .001 000 .000

300. 15.7787 1451 .0318 .4065 91 .961191 .999 .001 000 .000

305. 15.6676 1440.5769 .4027 91 .946134 .999 .002 000 . 000

310. 15.5553 1429.9570 .3991 91 .927359 .999 .002 000 .000

315. 15.4411419.0923 .3956 91 .903751 .999 .002 000 . 000

320. 15.3245 1407.9512 .3924 91 .875856 .998 .003 000 .000

325. 15.2053 1396.4797 . 3894 91 .841741 .998 .004 000 . 000

330. 15.0833 1384.6525 .3866 91 .800495 .998 .005 . 000 .000

335. 14.9584 1372.4473 .3840 91 .750953 .997 .006 000 .000

340. 14.8306 1359.8390 .3816 91 .691405 .996 .007 000 .000

345. 14.6999 1346.8163 .3795 91 .620995 .996 .009 000 .000

350. 14.5661 1333.3467 .3775 91 .537468 .995 .010 000 . 000

355. 14.4293 1319.3978 .3757 91 .438771 .994 .013 000 . 000

360. 14.2892 1304.9215 .3741 91.322089 .992 .015 000 . 000

365. 14.1456 1289.8802 .3727 91 .185788 .991 .018 000 .000

370. 13.9982 1274.1974 .3716 91 .026083 .989 .022 000 .000

375. 13.8463 1257.7915 .3706 90.839504 .987 .026 . 000 .000

380. 13.6894 1240.5584 .3699 90.621874 .985 .031 000 .000

385. 13.5265 1222.3688 .3695 90.368317 .982 .036 000 . 000

390. 13.3565 1203.0704 .3694 90.073770 .979 .043 000 .000

395. 13.1778 1182.4601 .3697 89.731461 .975 .050 000 .000

400. 12.9882 1160.2826 .3704 89.333617 .970 .059 000 .000

405. 12.7849 1136.2074 .3717 88.871 113 .965 .070 000 . 000

410. 12.5637 1109.7916 .3736 88.332955 .959 .082 001 . 000

415. 12.3187 1080.4143 .3764 87.705431 .951 .097 001 . 000

420. 12.0403 1047.1679 .3805 86.971708 .942 .114 001 .000

425. 11.7132 1008.6261 .3866 86.110013 .932 .135 001 .001 430. 1 1 .3098 962.3747 .3957 85.092360 .919 .160 001 .001 435. 10.7770 903.9756 .4105 83.880226 .904 .191 002 .001 440. 10.0178 825.6618 .4366 82.419758 .885 .229 002 .001 445. 8.9550 722.0164 .4829 80.627487 .860 .278 002 .001 450. 7.7690 608.7948 .5504 78.361621 .827 .342 003 .002

455. 6.7984 512.0312 .6221 75.316723 .780 .436 004 .002

460. 6.1360 430.4797 .6818 70.156077 .691 .614 005 .002

465. 5.6787 342.9139 .7288 60.385982 .479 1.036 006 .003

470. 5.3429 31 1 .9654 .7663 58.389003 .427 1.139 007 .003

475. 5.0833 289.0358 .7970 56.860258 .386 1.221 008 .004

480. 4.8748 270.9202 .8224 55.575542 .349 1.294 009 .004

485. 4.7026 256.1119 .8437 54.461597 .315 1.360 010 .005

490. 4.5572 243.7314 .8618 53.482640 .285 1.419 011 .005

495. 4.4322 233.2050 .8771 52.615896 .257 1.473 012 .006

500. 4.3232 224.1423 .8903 51 .846786 .232 1.522 . 014 .007

505. 4.2268 216.2487 .9015 51 .161295 .209 1.566 015 .008

510. 4.1407 209.3114 .9113 50.550092 .188 1.607 . 017 .008

515. 4.0629 203.1615 .9197 50.004101 .169 1.643 019 .009

520. 3.9920 197.6672 .9270 49.515913 .152 1.675 021 .010

525. 3.9268 192.7215 .9335 49.078823 .137 1.704 023 .011 530. 3.8663 188.2377 .9391 48.687079 .123 1.730 025 .012

535. 3.8097 184.1430 .9442 48.335244 . 110 1.753 027 .014

540. 3.7564 180.3768 .9487 48.018643 .099 1.773 030 .015

545. 3.7058 176.8881 .9528 47.733032 .089 1.791 . 032 .016

550. 3.6574 173.6334 .9567 47.474650 .079 1.806 035 .018

48
18.0 MPa Isobar

T emp Dens i ty Z Molecular Compos

t i on

K mo 1 /L kg/rrr mass N204 N02 NO 02

295. 15.9172 1463.9717 . 461

91 .974060 1 .000 .001 . 000 . 000

300. 15.8072 1453.6699 .4565 91 .962665 .999 .001 . 000 . 000

305. 15.6971 1443.3183 .4522 91 .948028 .999 .001 . 000 . 000

310. 15.5860 1432.8138 .4481 91 .929748 .999 .002 . 000 . 000

315. 15.4730 1422.0747 . 4442 91 .906675 .999 .002 . 000 . 000

320. 15.3578 1411 .0716 . 4405 91 .879542 .999 .003 . 000 . 000

325. 15.2401 1399.7491 .4371 91 .846317 .998 .004 . 000 . 000

330. 15.1197 1388.0826 .4339 91 .806133 .998 .005 . 000 . 000

335. 14.9965 1376.051

. 4309 91 .757868 .997 .006 . 000 . 000

340. 14.8706 1363.6332 .4282 91 .699823 .997 .007 . 000 . 000

345. 14.7419 1350.8188 .4257 91 . 631264 .996 .008 . 000 . 000

350. 14.6104 1337.5789 . 4234 91 .549952 .995 .010 . 000 . 000

355. 14.4760 1323.8850 .4213 91 .453914 .994 .012 . 000 . 000

360. 14.3386 1309.6926 .4194 91 .340307 .993 .015 . 000 . 000

365. 14.1981 1294.9734 .4178 91 .207822 .991 .018 . 000 . 000

370. 14.0540 1279.6571 .4163 91 .052684 .989 .021 . 000 . 000

375. 13.9061 1263.6715 .4152 90.871560 .987 .025 . 000 . 000

380. 13.7538 1246.9252 .4142 90.660463 .985 .030 . 000 . 000

385. 13.5963 1229.3035 .4136 90.414601 .982 .035 . 000 . 000

390. 13.4327 1210.6308 .4133 90.129557 .979 .042 . 000 . 000

395. 13.2617 1190.8810 .4133 89.798692 .975 .049 . 000 . 000

40013.0816 1169.6921 .4137 89.414754 .971 .058 . 000 . 000

405. 12.8904 1 146.8469 .4147 88.969265 .966 .068 . 000 .000

410. 12.6848 1121 .9979 .4163 88.452028 .960 .080 . 000 . 000

415. 12.4607 1094.6825 .4187 87.850717 .953 .094 .001 . 000

420. 12.2118 1064.2571 . 4221 87. 149907 .945 .110 .001 . 000

425. 1 1 .9285 1029.7965 .4270 86.330739 .935 .130 .001 . 000

430. 1 1 . 5954 S89.8819 .4342 85.368563 .923 . 153 . 001 .001 435. 11.1863 942.2339 . 4449 84.231246 .908 . 182 .001 .001

4 40. 10.6566 883. 1648 .4617 82.875291 .891 .217 .002 .001 445. 9.9467 808.0545 .4891 81 .238095 .868 .261 .002 .001 450. 9 . 0594 717.7202 .5310 79.224206 .840 .318 .003 . 001 455. 8.1421 624.2429 .5844 76.668589 .801 .394 .003 .002

460. 7.3509 538.2102 . 6402 73.217337 .745 .505 .004 .002

465. 6.7386 455.3596 .6909 67.574921 .641 .713 .005 .003

470. 6.2778 385.4624 .7337 61 .400666 .504 .985 .006 .003

475. 5.9245 349.3738 .7693 58.971139 . 443 1.107 .007 . 004

480. 5.6453 323.3083 .7989 57.270676 .397 1 . 197 .008 .004

485. 5.4183 302.8469 .8238 55.892988 .358 1 .274 .009 .005

490. 5.2295 286.1657 .8449 54.721365 .324 1 .343 .010 .005

495. 5.0693 272.2374 .8628 53.703228 .292 1 .404 .012 .006

500. 4.9311 260.4059 .8781 52.808673 .264 1 .459 .013 .006

505. 4.8103 250.2185 .8912 52.017489 .238 1 .509 .014 .007

510. 4.7033 241 .3488 .9026 51 .314990 .215 1 .554 .016 .008

515. 4.6075 233.5506 .9124 50.689298 .194 1 .595 .018 009

520. 4.5209 226.6362 .9209 50.131139 . 174 1 . 632 .019 .010

525. 4.4418 220.4548 .9284 49.632052 .157 1 .665 .021 .01 1 530. 4.3689 214.8872 .9350 49.185247 . 141 1 .695 .023 .012

535. 4.3013 209.8347 .9408 48.784472 .127 1 .721 .026 .013

540. 4.2379 205.2165 .9460 48.424357 .114 1 .744 .028 .014

545. 4.1780 200.9643 .9508 48.100061 .102 1 .765 .031 .015

550. 4.1211 197.0208 .9551 47.807286 .092 1 .783 .033 .017

49
20.0 MPa Isobar

T emp Dens i ty Z Molecular Compos i

i on

K mo 1 /L kg/m 0 mass N204 N02 NO 02

295. 15.9448 1466.5269 .5114 91 .975106 1 . 000 . 001 000 . 000

300. 15.8356 1456.3078 . 5063 91 . 964065 . 999 .001 000 . 000

305. 15.7266 1446.0538 .5015 91 .949832 . 999 . 001 000 . 000

310. 15.6165 1435.6591 . 4969 91 .-932026 . 999 . 002 000 . 000

315. 15.5048 1425.0495 . 4925 91 .910100 .999 . 002 000 . 000

320. 15.3910 1414. 1683 . 4884 91 . 883056 .999 . 003 . 000 . 000

325. 15.2747 1402.9881 . 4846 91 . 850683 .998 . 004 000 . 000

330 . 15.1558 1391 .4753 .4810 91.811510 . 998 . 004 000 . 000

335. 15.0343 1379 .6104 .4776 91 .764461 . 997 . 005 000 . 000

340. 14.9101 1367.3725 .4745 91 .707845 .997 . 007 000 . 000

345. 14.7833 1354.7560 . 4716 91 .641044 .996 . 008 000 . 000

350. 14.6539 1341 .7333 .4690 91 .561828 .995 .010 000 . 000

355. 14.5218 1328.2801 . 4666 91 . 468501 .994 .012 000 . 000

360. 14.3869 1314.3638 . 4644 91 .358254 .993 .014 000 . 000

365. 14.2492 1299 . 9365 .4625 91 .228707 .991 .017 . 000 . 000

370. 14. 1084 1284.9612 . 4608 91 . 077856 .990 . 020 000 . 000

375. 13.9641 1269.3644 . 4594 90.901849 .988 .024 . 000 . 000

380. 13.8160 1253.0654 .4582 90.696869 .986 . 029 000 . 000

385. 13.6633 1235.9606 .4573 90.458155 .983 . 034 000 . 000

390. 13.5054 1217.9475 .4567 90. 181944 .980 . 040 000 . 000

395. 13.3413 1198.8697 . 4565 89.861618 . 976 .048 000 . 000

400 . 13.1696 1 178.5506 . 4566 89.490569 .972 .056 000 . 000

405. 12.9885 1156.7667 . 4573 89 . 060675 .967 .066 000 . 000

410. 12.7959 1133.2367 . 4585 88.562354 .961 .077 000 . 000

415. 12.5886 1107.6082 . 4604 87.984833 . 954 .091 001 . 000

420. 12.3623 1079.3968 . 4633 87 .313636 .946 .106 001 , 000

425. 12.1106 1047.9560 . 4674 86.531938 .937 .125 001 . 000

430. 1 1 . 8242 1012.3621 . 4731 85.617917 .926 .147 . 001 .001 435. 1 1 . 4883 971 . 2735 .4813 84.544615 .912 .174 001 .001 440. 1 1 . 0798 922 . 6733 . 4934 83.274924 .896 . 207 002 .001 445. 10.5654 863.8351 .5116 81 . 760916 .876 . 247 002 .001 450. 9.9166 792.6460 .5390 79.931313 .850 .298 002 . 001 455. 9.1666 712.0681 .5767 77.680961 .817 .363 003 .001 460. 8.4207 630. 1743 . 6210 74.836413 .772 .452 004 .002

465. 7.7628 551 .7646 . 6664 71 . 078154 .708 . 580 005 . 002

470. 7.2203 476.7361 .7088 66 . 027440 . 609 .776 005 . 003

475. 6.7849 419 0942 .7464 61 .769096 .514 . 966 006 .003

480 . 6.4353 381 . 5050 .7787 59.283369 .452 1.089 007 .004

485. 6. 1508 353.6874 . 8064 57.502667 . 404 1.183 008 .004

490. 5.9152 331 . 6852 . 8299 56.073201 .364 1.263 010 .005

495. 5.7167 313.6648 . 8501 54.867839 .328 1.332 . 01 1 .005

500. 5 . 5469 298.5734 . 8673 53.827479 . 297 1.395 012 .006

505. 5.3994 285.7226 .8822 52.917353 . 268 1.451 014 . 007

510. 5 . 2698 274.6294 . 8950 52. 1 13667 .242 1.501 015 . 008

515. 5.1546 264 . 9634 . 9061 51 . 403258 .218 1.547 017 . 008

520. 5.0511 256.4467 .9158 50.770418 . 197 1.588 018 .009 525. 4.9572 248 8819 .9243 50.206012 . 177 1.625 020 .010

530. 4.8712 242 . 1 084 . 9317 49.701495 .160 1.658 022 .011 535. 4.7918 235.9969 . 9383 49 . 249653 . 144 1.688 024 .012 540 . 4.7179 230.4412 . 9442 48.844145 . 129 1.715 027 .013 545. 4 . 6484 225.3537 . 9495 48 . 479498 .116 1.738 029 .014 550. 4 . 5827 220.6607 . 9544 48. 150840 . 105 1.759 032 .016

50
25.0 MPa Isobar

T emp Dens i t y Z Molecular Compos

t i on

K mo 1 /L kg/m^ mass N204 N02 NO 02

295. 16.0143 1472.9584 . 6365 91 .977484 1 .000 . 001 . 000 . 000

300. 15.9069 1462.9172 . 6301 91 .967272 .999 .001 . 000 . 000

305. 15.8001 1452.8812 . 6240 91 .953988 .999 . 001 . 000 . 000

310. 15.6926 1442.7358 .6181 91 . 937285 .999 .002 . 000 . 000

315. 15.5837 1432.4027 .6125 91 .916678 .999 .002 . 000 . 000

320. 15.4729 1421 .8224 . 6073 91 .891162 .999 .003 . 000 . 000

325. 15.3599 1410.9702 . 6023 91 .860767 .998 .003 . 000 . 000

330. 15.2445 1399.8114 .5977 91 .823935 .998 .004 . 000 . 000

335. 15. 1268 1388.3300 .5934 91 .779685 .997 .005 . 000 . 000

340. 15.0067 1376.5129 .5893 91 .726831 .997 .006 . 000 . 000

345. 14.8842 1364.3420 .5856 91 . 663600 .996 .008 . 000 . 000

350. 14.7595 1351 .8146 .5821 91 .589182 .995 .009 . 000 . 000

355. 14.6326 1338.9069 .5788 91.501380 .994 .01 1 . 000 . 000

360. 14.5035 1325.5954 .5759 91 .398167 .993 .013 . 000 . 000

365. 14.3721 131 1 .8400 .5732 91 .276581 .992 .016 . 000 . 000

370. 14.2384 1297.6221 .5708 91 . 135410 .990 .019 . 000 . 000

375. 14.1021 1282.8813 .5686 90.970894 .989 .023 . 000 . 000

380. 13.9630 1267.5585 .5667 90.779695 .986 .027 . 000 . 000

385. 13.8208 1251 .5795 .5651 90.557837 .984 .032 . 000 . 000

390. 13.6749 1234.8495 .5638 90.300340 .981 .038 . 000 . 000

395. 13.5248 1217.2839 .5628 90.003520 .978 . 044 . 000 . 000

400 . 13.3698 1 198.7465 .5622 89.660644 .974 .052 . 000 . 000

405. 13.2089 1179.0874 .5621 89.264759 .969 .061 . 000 . 000

410. 13.0408 1158.1279 .5624 8 5.807889 . 964 .072 . 000 . 000

415. 12.8641 1135.6473 .5632 88.280296 .958 .084 . 000 . 000

420. 12.6767 11 11. 3904 .5647 87.671625 .951 .098 .001 . 000

425. 12.4761 1085.0153 .5671 86.967522 .942 .115 .001 . 000

430. 12.2587 1056. 1085 .5704 86. 151899 .932 . 135 .001 . 000

435. 18.0626 1539.0091 .3827 85.204175 .921 .158 .001 .001 440 . 18.0959 1521 .8737 .3776 84. 100288 .907 . 186 .001 . 001 445. 1 1 . 4490 948.0733 .5902 82.808210 .890 .219 . 002 . 001 450. 1 1 .0973 902.0806 . 6021 81 .288103 .869 .260 .002 . 001 455. 10 . 6866 849.4783 .6184 79.489927 .844 .310 .002 . 001 460. 10.2146 790. 1084 . 6399 77.350660 .812 .373 .003 . 001 465. 9.7015 725.6581 .6665 74.798704 .772 .453 .004 .002

470. 9.1876 659.5281 . 6963 71 . 784601 .720 . 555 .004 . 002

475. 8.7088 595.5674 .7269 68.386696 . 657 .681 .005 . 003

480. 8.2819 538.3584 .7564 65.004370 .588 .819 .006 .003

485. 7.9093 491 .4971 .7839 62 . 141994 .523 .947 . 007 . 004

490. 7.5868 454.3592 .8088 59.888010 .468 1 .057 .008 . 004

495. 7.3081 424.4989 .8312 58 . 085869 .421 1.150 .009 .005

500. 7.0665 399.9424 .8510 56.597092 .379 1 .231 .01 1 .005

505. 6.8557 379.3625 .8685 55.335015 .343 1 .302 .012 . 006

510. 6 . 6706 361 .8539 .8838 54.245980 .310 1 .366 .013 . 007

515. 6.5067 346.7748 .8973 53.295152 .281 1 .424 .015 .007

520. 6 . 3603 333.6521 .9091 52.458319 .254 1 .476 .016 . 008

525. 6.2286 322.1256 .9195 51 .717495 .230 1 .523 .018 .009

530. 6. 1089 31 1.9153 .9287 51 .058847 .208 1 . 565 .020 .010

535. 5.9994 302.7994 .9368 50 . 471314 . 188 1 . 603 .022 .011 540. 5.8984 294.5993 .9440 49.945828 . 169 1 .638 .024 .012

545. 5.8044 287 . 1684 .9505 49 . 474674 .153 1 . 668 .026 .013

550. 5.7162 280.3855 9564 49.051254 . 138 1 .696 .028 .014

51
30 . 0 MPa I soba r

Temp Dens i ty Z Molecular Compos ii on

K mo 1 / L kg/m J moss N204 N02 NO 02

295. 16.0850 1479 . 5120 . 7604 91 .980931 1 . 000 .001 000 . 000

300 . 15 . 9789 1469.5804 . 7527 91 .970112 1 . 000 . 001 000 . 000

305. 15.8738 1459.7224 . 7453 91 .957697 .999 . 001 000 . 000

310. 15.7685 1 449 . 7894 .7381 91 .941998 . 999 . 002 . 000 . 000

315. 15.6621 1439 . 6967 .7314 91 .922580 .999 .002 000 . 000

320 . 15.5539 1429.3802 .7249 91 . 89841.999 . 003 . 000 . 000

325. 15 . 4438 1418.8140 .7189 91 .869814 .998 .003 000 . 000

330. 15.3315 1 407 . 9736 .7132 91 .835089 . 998 . 004 000 . 000

335. 15.2171 1396.8317 . 7078 91 . 793350 .998 . 005 . 000 . 000

340. 15. 1006 1385.3822 .7028 91 .743487 . 997 . 006 000 . 000

345. 14.9820 1373.6102 . 6981 91 . 683815 .996 . 007 . 000 . 000

350. 14.8615 1361 .5184 . 6937 91 .613673 .996 . 009 000 . 000

355. 14.7391 1349.0875 . 6896 91 . 530942 .995 .011 000 . 000

360. 14.6150 1336 . 301. 6858 91 .433759 .994 .013 000 . 000

365. 14.4890 1 323. 1363 . 6823 91 .319981 .992 .015 000 . 000

370. 14.3613 1309.5539 . 6790 91 .186520 .991 .018 000 . 000

375. 14.2317 1295.5368 . 6761 91 .032058 .989 .022 000 . 000

380. 14 . 1000 1281 . 0284 . 6734 90.852777 .987 .025 000 . 000

385. 13.9662 1265.9713 . 6710 90.645077 .985 .030 000 . 000

390. 13.8300 1250.2854 . 6690 90 . 404019 .982 .035 . 000 . 000

395. 13.6909 1233.9228 . 6672 90. 127208 .979 . 042 000 . 000

400 . 13.5486 1216.7718 . 6658 89.8081 1

.976 .049 000 . 000

405. 13.4024 1 198.7251 . 6647 89 . 440792 .971 . 057 000 . 000

410 . 13.2518 1179. 6536 . 6641 89.018125 .956 . 067 000 . 000

415. 13.0959 1159. 4003 . 6639 88.531386 .961 . 078 000 . 000

420. 12.9337 1 137.8140 . 6642 87.972940 . 954 .091 000 . 000

425. 12 . 7638 1114. 6699 . 6652 87.330285 . 947 .106 001 . 000

430. 12.5848 1089.7234 . 6668 86.590274 .938 .124 001 . 000

435. 12 . 3947 1062 . 6759 . 6692 85.736658 . 927 .145 001 . 000

440. 12. 1908 1033.2002 . 6727 84.752230 .915 .169 001 .001 445. 1 1 .9703 1000.8726 . 6774 83.613298 .900 .198 001 . 001 450. 18.1480 1493.4434 .4418 82.292547 . 883 .233 002 .001 455. 18 . 1829 1468.4302 . 4361 80.758796 .862 .275 002 .001 460. 11.1 674 881 . 9560 .7024 78.976179 . 836 .325 . 002 .001 465. 10.8396 833 . 6655 .7159 76.909171 . 805 .387 003 .001 470. 10.4818 781 . 2587 . 7324 74.534617 .767 .462 004 .002 475. 10. 1042 726.1945 .7518 71 .870508 .722 . 552 . 004 .002 480. 9 . 7240 671 .1517 . 7731 69.020339 . 669 . 656 005 .003

485. 9.3586 619 . 4646 .7950 66 . 191880 .613 . 768 006 .003

490. 9.0197 573.7087 .8164 63.605935 . 557 .879 007 .004

495. 8.7120 534 . 6485 . 8367 61 .369132 .505 . 983 008 .004

500. 8.4355 501 . 6760 . 8555 59.471875 .457 1.076 009 .005

505. 8. 1880 473.7491 . 8726 57 . 858640 .415 1.160 010 .005

510. 7.9665 449.8999 . 8881 56 . 473818 . 376 1.235 012 .006 515. 7.7677 429.3455 . 9020 55.272890 .342 1.303 013 .007 520. 7.5887 41 1 . 4764 .9144 54 . 222537 .310 1.365 . 014 .007 525. 7.4265 395.8127 .9254 53.297144 .282 1.421 016 .008

530. 7.2789 381 .9816 . 9353 52 . 477853 . 255 1.472 018 .009 535. 7.1437 369 . 6801 .9441 51 .749206 .232 1.517 019 .010

540 . 7.0190 358 . 6637 .9520 51 .098961 .210 1.559 021 .011 545. 6.9033 348.7328 . 9591 50.517137 .190 1.596 023 .012 550. 6.7951 339.7200 . 9655 49.995122 . 172 1.630 025 .013

52
35.0 MPa Isobar

T emp D

K mo 1 / L 295. 16. 1574

300. 16. 0520

305. 15. 9483

310 . 15. 8447

315. 15. 7403

320. 15. 6344

325. 15. 5268

330. 15. 4173

335. 15. 3058

340. 15. 1924

345. 15. 0773

350. 14 . 9604

355. 14. 8420

360. 14. 7221

365. 14 . 6008

370. 14. 4782

375. 14. 3543

380. 14. 2290

385. 14. 1022

390. 13. 9738

395. 13. 8435

400 . 13. 7112

405. 13. 5765

410 . 13. 4390

415. 13. 2983

420. 13. 1 538

425. 13. 0048

430 . 12 . 8506

435. 12. 6901

440. 12. 5223

445 . 12. 3459

450 . 12. 1593

455. 1 1 . 9607

460 . 18. 2021

465. 18 . 2382

470 . 1 1 . 2746

475. 1 1 . 0118

480. 10 . 7336

485. 10. 4452

490 . 10. 1540

495. 9 . 8688

500. 9 . 5965

505. 9. 3417

510. 9. 1062

515. 8 .8901 520. 8 6922

525. 8 .5109

530. 8 . 3444

535. 8 .1911

540. 8 . 0491

545. 7 .9171

550. 7 .7935

ns i ty Z kg/m^

1 486 . 2078 .8832

1476.3462 .8742

1466.6201 .8654

1456.8589 . 8570

1446.9688 .8490

1436.8876 .8414

1426.5709 .8342

1416.0021 . 8274

1405. 1596 .8210

1394.0350 .8150

1382 .6150 .8093

1370.9073 .8040

1358.8953 .7990

1346.5680 .7943

1333.9085 .7899

1320.8833 .7858

1307.4862 .7820

1293.6686 .7785

1279.3865 .7753

1264.5852 . 7724

1249. 1896 . 7698

1233. 1568 .7675

1216.3847 .7656

1198. 7777 . 7640

1180.2216 .7628

1 160.5802 .7620

1139.7309 .7616

1117. 4859 .7618

1093 6325 .7626

1068.0006 .7640

1040.3010 .7662

1010 . 2274 .7693

977.5753 .7735

1459.4260 . 5028

1429.9146 . 4964

861 .2042 .7944

816.3034 .8048

769.3784 .8171 722.0423 .8310

676.3642 .8461 634. 1464 .8617

596.3666 .8773

563. 1551 .8923

534. 1566 . 9064

508.8392 .9194

486.6643 .9313

467.1480 .9421 449.8807 .9518

434.5129 .9606

420.7598 .9685

408.3792 .9756

397. 1721 .9821

Mo I ecu I a r mass N204

91 .983012 1 .000

91 . 972637 1 . 000

91.961022 .999

91.946242 .999

91.927906 .999

91.905468 .999

91.877973 .999

91.845162 .938

91 . 805690 . 998

91.758531 .997

91.702037 .997

91.635752 .996

91.557564 .995

91.465759 .994

91.358352 .993

91.232329 .991 91.086741 .990

90.917904 .988

90.722633 .986

90.497158 .983

90.236417 .980

89.937848 .977

89.594791 .973

89.201181 .969

88.749725 .963

88.231617 .957

87.639246 .950

86.960141 .942

86.179938 .933

85.287645 .922

84.262721 .909

83.082628 .893

81.732083 .875

80.178988 .853

78.402049 .828

76.384599 .797

74.130054 .761 71.679255 .718

69.126975 .671 66.610417 .622

64.257944 .572

62.144237 .523

60.284058 .478

58.658399 .437

57.236720 .398

55.988823 .363

54.088340 331 53.913851 .301 53.047127 .274

52.273961 .249

51.582124 .227

50.961897 .206

Compos i

i on N02 NO 02

.001 000 . 000

. 001 000 . 000

.001 000 . 000

.002 . 000 000

.002 . 000 . 000

. 002 000 . 000

. 003 000 . 000

.004 000 . 000

.005 . 000 . 000

. 006 . 000 . 000

.007 000 . 000

. 008 000 . 000

.010 000 . 000

.012 000 . 000

.014 000 . 000

.017 000 . 000

.020 000 . 000

.024 000 . 000

.028 000 . 000

.033 000 . 000

.039 000 . 000

.046 000 . 000

. 054 000 . 000

.063 000 . 000

.073 000 . 000

.085 000 . 000

.099 . 000 . 000

.115 001 . 000

.134 001 . 000

.156 001 . 000

.182 001 .001 .212 001 .001 .248 002 .001 .291 002 .001 .342 002 .001

. 403 003 . 001

. 475 004 . 002

.559 004 .002

.652 005 .003

.751 006 . 003

. 850 007 . 004

.945 008 . 004

1 . 034 .009 .005

1.117 010 005

1.192 .012 . 006

1.261 .013 .007

1.324 .014 . 007

1.381 .016 .008

1.434 .018 .009

1.482 .019 .010

1 .525 .021 .01 1 1.565 .023 .012

53
40.0 MPa Isobar

T emp

K 295.

Dc Mo 1 e/Li t e r 16.2325ns i t y Kg/m^)

1493. 1470

Z

1 . 0047

Molecular

Weight

91 . 984889

N204

1 .000

Compos i

N02

.001

i on NO

000

02

. 000

300. 16.1270 1 483.2926 .9944 91 .975777 1 .000 . 001 000 . 000

305. 16.0240 1473.6269 .9844 91 .964015 . 999 .001 000 . 000

310. 15.9216 1463.9904 . 9747 91 . 950081 .999 .001 000 . 000

315. 15.8188 1454.2610 .9655 91 .932735 .999 .002 000 . 000

320. 15.7148 1444.3695 .9567 91 .91 1480 .999 .002 . 000 . 000

325. 15.6093 1434.2667 .9483 91 .885364 . 999 .003 000 . 000

330. 15.5021 1423.9366 . 9404 91 . 854302 .998 . 004 000 . 000

335. 15.3932 1413.3554 . 9330 91 .816892 .998 . 004 000 . 000

340. 15.2826 1402.5156 . 9259 91 .772184 .997 .005 . 000 . 000

345. 15.1704 1391 .4123 .9192 91 .719042 .997 .006 000 . 000

350. 15.0567 1380.0358 .9129 91 .655772 .996 .008 000 . 000

355. 14.9418 1368.3924 .9070 91 .581685 . 995 .009 000 . 000

360. 14.8256 1356.4680 .9014 91 . 494721 .994 .011 000 . 000

365. 14.7085 1344.2505 .8961 91 . 393028 .993 .014 000 . 000

370. 14.5903 1331 .7107 .8912 91 .273680 .992 .016 000 . 000

375. 14.4712 1318.8504 .8865 91 . 136012 .990 .019 000 . 000

380. 14.3513 1305.6272 .8822 90.976494 .989 .023 000 . 000

385. 14.2304 1292 . 0054 .8781 90.792183 .987 .027 000 . 000

390. 14. 1085 1277.941

.8744 90.579624 . 984 .032 000 . 000

395. 13.9855 1263.3657 . 8709 90.333822 .981 .037 000 . 000

400. 13.8613 1248.2575 . 8677 90.053145 .978 .043 000 . 000

405. 13.7358 1232.5269 . 8648 89.731222 .975 . 051 000 . 000

410. 13.6086 1216.0966 .8623 89 . 362562 .970 . 059 000 . 000

415. 13.4795 1 198.8752 .8600 88.940686 .966 .069 000 . 000

420. 13.3482 1 180.7476 .8581 88.457286 .960 . 080 000 . 000

425. 13.2144 1161. 6361 . 8566 87.906821 . 953 . 093 000 . 000

430. 13.0776 1 141 .3902 .8555 87.278196 . 946 .108 000 .000

435. 12.9374 1119. 8607 .8549 86.560173 . 937 .125 001 . 000

440. 12.7931 1096.8879 .8547 85.740436 . 927 .145 001 . 000

445 . 12.6443 1072 . 2799 . 8550 84.803734 .915 .168 001 . 000

450. 12.4901 1045 . 8631 . 8560 83.735653 . 902 .195 001 .001 455. 12.3298 1017.4159 . 8576 82.517123 .886 .227 001 .001 460. 12.1625 986.7293 . 8599 81 . 128790 .867 .265 002 .001 465. 18.2216 1449.5870 .5678 79.553059 .844 .309 002 .001 470 . 18.2585 1420.0645 .5606 77.775716 .818 .361 003 .001 475. 11.6107 880.0330 .8723 75.794692 .788 .422 003 .002

480. 1 1 . 4082 839.9619 . 8786 73.627981 .752 .492 004 .002

485. 1 1 . 1964 798.5901 .8860 71 .325472 .712 .571 004 .002 490. 10.9767 757.0645 .8945 68.969832 . 668 .658 005 .003

495. 10.7516 716.7042 .9040 66.660342 . 623 .748 006 .003

500. 10.5244 678.6534 .9143 64.483988 .577 .840 007 .004

505. 10.2991 643 . 6259 . 9250 62 . 493275 .532 .928 008 .004

510. 10.0797 61 1 .8929 . 9359 60.705378 . 489 1.013 009 .005

515. 9 . 8693 583 .4102 .9465 59. 113855 . 449 1.092 .01 1 .005

520. 9 . 6698 557.9589 .9568 57.701214 . 41 1 1.166 012 .006

525. 9.4823 535.2444 . 9664 56.446917 .376 1.234 013 .007

530. 9 . 3068 514.9549 .9753 55.331260 . 344 1.297 015 . 007

535. 9 . 1428 496.7877 . 9836 54.336398 .315 1.355 016 .008

540. 8 . 9896 480.4675 .9911 53.447105 . 287 1.408 018 . 009

545. 8 . 8461 465.7459 . 9979 52 . 650002 .262 1.456 020 .010

550. 8.7112 452.4106 1 . 0041 51 .934300 . 239 1.501 021 .011

54
Table B 2 . Isobaric Tables of N2O4 Properties Calculated With

Equations From This Work.

14.696 PSIA Isobar

T emp Dens i ty Z Mo 1 ecu 1 a r Compos i t i on

F Ib/cu ft mass N204 N02 NO 02

70. 89.9686 .0026 91 .857403 .998 .003 . 000 .000

70.10 89.9605 .0026 91 .857327 .998 .003 . 000 .000

70.10 .2084 .9639 79.157476 .838 .324 .001 . 000

80. .1981 .9829 76.723267 .801 .398 . 000 . 000

90. .1875 .9840 74.055702 .757 .486 . 000 . 000

100. .1769 .9851 71 .233881 .708 .585 . 000 . 000

110. . 1666 .9863 68.358465 .653 .696 . 000 . 000

120. .1567 .9875 65.514384 .593 .818 . 000 . 000

130. .1475 .9886 62.792525 .531 .946 . 000 . 000

140. .1383 .9897 59.949222 .463 1 .077 . 000 .000

150. .1305 .9907 57.577897 .399 1 .208 . 000 . 000

160. .1235 .9917 55.419746 .337 1.332 . 000 . 000

170. .1177 .9926 53.717376 .282 1 .448 . 000 . 000

180. .1126 .9934 52.234058 .231 1 .551 . 000 . 000

190. .1078 .9941 50.835611 .186 1 .635 . 000 . 000

200. .1039 .9948 49.794571 .149 1 .707 . 000 . 000

210. .1006 .9955 48.966399 .119 1.766 . 000 .000

220. .0975 .9961 48.193792 .094 1 .807 .006 .003

230. .0951 .9966 47.704550 .074 1 .845 .006 .003

240. .0929 .9970 47.327423 .059 1 .875 .007 .003

250. .0910 .9975 47.017847 .047 1 .898 .008 .004

260. .0892 .9978 46.771610 .037 1.915 .010 .005

270. .0876 .9982 46.578020 .030 1 .929 .01

.006

280. .0861 .9984 46.418438 .024 1 .939 .013 .006

290. .0846 .9987 46.278302 .019 1 .946 .015 .008

300. .0833 .9989 46.170573 .016 1 .951 .017 .009

310. .0820 .9991 46.070552 .013 1 .954 .020 .010

320. .0808 .9993 45.983415 .010 1 .956 .023 .011 330. .0797 .9994 45.902000 .009 1 .957 .026 .013

340. .0785 .9995 45.824741 .007 1 .956 .030 .015

350. .0774 .9996 45.749648 .006 1 .954 .034 .017

360. .0763 .9997 45.675134 .005 1 .952 .039 .019

370. .0753 .9997 45.598628 .004 1.948 .044 .022

380. .0743 .9998 45.522009 .003 1 .944 .049 .025

390. .0733 .9998 45.441441 .003 1 .939 .055 .028

400. .0723 .9998 45.356813 .002 1 .933 .062 .031 410. .0713 .9999 45.267463 .002 1 .927 .069 .035

420. .0703 .9999 45.172764 .002 1 .919 .077 .039

430. .0694 .9999 45.072240 .001 1.911 .086 .043

440. .0685 .9999 44.965486 .001 1.902 .095 .048

450. .0675 .9999 44.852085 .001 1 .893 .105 .053

460. .0666 .9999 44.731625 .001 1 .882 .116 .058

470. .0657 .9999 44.603762 .001 1 .871 .127 .064

480. .0648 .9999 44.468242 .001 1 .859 .140 .070

490. .0639 .9999 44.324899 .001 1 .846 .153 .077

500. .0630 .9999 44.173625 . 000 1 .832 .167 .084

55
20.0 PSIA Isobar

T emp Dens i ty Z Molecular Compos

it i on

F Ib/cu ft mass N204 N02 NO 02

70. 90.0403 .0036 91 .927668 .999 .002 . 000 . 000

80. 89.2628 .0036 91 .916724 .999 .002 . 000 . 000

82.23 89.0877 .0035 91 .913552 .999 .002 . 000 . 000

82.23 .2747 .9629 77.997765 .820 .359 . 000 . 000

90. .2638 .9779 76.067481 .790 .419 . 000 . 000

100. .2497 .9795 73.436018 .747 .507 . 000 . 000

110. .2357 .98170.669785 .697 .606 . 000 . 000

120. .2221 .9827 67.874396 .643 .716 . 000 . 000

130. .2091 .9843 65.124931 .585 .835 . 000 . 000

140. .1965 .9858 62.319552 .522 .960 . 000 . 000

150. . 1850 .9872 59.749199 .458 1 .088 . 000 .000

160. .1747 .9885 57.406115 .395 1 .214 . 000 . 000

170. .1656 .9897 55.384034 .336 1 .334 . 000 . 000

180. .1577 .9909 53.649131 .281 1 .445 . 000 . 000

190. .1512 .9919 52.295651 .234 1 .546 . 000 . 000

200. .1449 .9929 50.922536 .189 1.629 . 000 . 000

210. .1397 .9938 49.893514 .153 1 .699 .000 . 000

220. .1353 .9946 49.066562 .123 1.758 . 000 . 000

230. .1312 .9953 48.303301 .098 1 .800 .005 .003

240. .1279 .9959 47.806437 .078 1 .838 .006 .003

250. .1249 .9965 47.407524 .063 1 .868 .007 .004

260. .1223 .9970 47.090440 .050 1 .891 .008 .004

270. .1199 .9974 46.835824 .040 1 .910 .010 .005

280. .1176 .9978 46.561888 .032 1 .919 .017 .008

290. .1157 .9982 46.462147 .026 1 .934 .013 .007

300. .1138 .9985 46.318316 .021 1 .942 .016 .008

310. .1120 .9987 46.200545 .017 1 .947 .018 .009

320. .1103 .9990 46.095748 .014 1 .951 .021 .010

330. . 1087 .9992 46.002803 .012 1 .953 .024 .012

340. .1071 .9993 45.916374 .010 1 .954 .027 .014

350. . 1056 .9994 45.836208 .008 1 .953 .031 .015

360. .1041 .9995 45.758256 .007 1 .952 .035 .017

370. .1027 .9996 45.681530 .005 1 .950 .040 .020

380. .1013 .9997 45.604342 .005 1 .946 .045 .022

390. .0999 .9997 45.525353 .004 1 .942 .050 .025

400. .0985 .9998 45.444020 .003 1 .937 .056 .028

410. .0972 .9998 45.359040 .003 1 .932 .063 .031 420. .0959 .9998 45.269785 .002 1 .926 .070 .035

430. .0947 .9998 45.175626 .002 1 .918 .078 .039

440. .0934 .9998 45.076086 .002 1 .911 .086 .043

450. .0922 .9998 44.970755 .001 1 .902 .095 .048

460. .0909 .9998 44.859219 .001 1 .893 .105 .052

470. .0897 .9998 44.741076 .001 1 .883 . 115 .058

480. .0885 .9998 44.615984 .001 1 .872 .127 .063

490. .0873 .9998 44.483696 .001 1 .860 .139 .069

500. .0861 .9998 44.344040 .001 1 .847 .151 .076

56
30.0 PSIA Isobar

T emp Dens i ty Z Molecular Compos

i t i on

F Ib/cu ft mass N204 N02 NO 02

70. 90.0475 .0054 91 .929521 .999 .002 . 000 . 000

80. 89.271.0053 91 .919325 .999 .002 . 000 . 000

90. 88.4805 .0053 91 .903537 .999 .002 . 000 .000

98.99 87.7502 .0052 91 .882784 .999 .003 . 000 . 000

98.99 .3947 .9664 76.363916 .795 .410 . 000 .000

100. .3926 .9684 76.115841 .791 .418 . 000 . 000

110. .3719 .9710 73.584470 .749 .502 . 000 . 000

120. .3514 .9734 70.926278 .702 .597 . 000 . 000

130. .3315 .9759 68.235929 .650 .701 . 000 .000

140. .3126 .9782 65.579971 .595 .815 . 000 . 000

150. .2940 .9803 62.862858 .535 .934 . 000 . 000

160. .2772 .9824 60.351479 .474 1.056 . 000 . 000

170. .2618 .9843 58.039733 .413 1.178 . 000 . 000

180. .2483 .9860 56.018017 .355 1.295 . 000 .000

190. .2364 .9876 54.259905 .301 1.405 . 000 . 000

200. .2265 .9891 52.861158 .253 1.506 . 000 .000

210. .2168 .9905 51 .442812 .208 1.591 . 000 .000

220. .2089 .9917 50.356741 .170 1.665 . 000 .000

230. .2014 .9928 49.315984 .137 1.720 .006 .003

240. .1956 .9937 48.643914 .111 1.772 .006 .003

250. .1905 .9946 48.097216 .090 1 .814 .006 .003

260. .1860 .9954 47.658077 .073 1.847 .007 .004

270. .1819 .9961 47.299869 .059 1 .874 .009 .004

280. .1783 .9967 47.014172 .048 1.895 .010 .005

290. .1749 .9972 46.779772 .039 1.911 .012 .006

300. .1718 .9976 46.586713 .032 1.923 .013 .007

310. .1690 .9980 46.425371 .026 1.933 .016 .008

320. .1662 .9984 46.289347 .021 1 .940 .018 .009

330. .1637 .9987 46.171564 .017 1.945 .021 .010

340. .1612 .9989 46.067256 .014 1.948 .024 .012

350. .1589 .9991 45.972429 .012 1 .949 .027 .013

360. .1566 .9992 45.885209 .010 1.950 .030 .015

370. .1544 .9994 45.802038 .008 1 .949 .034 .017

380. .1523 .9995 45.721415 .007 1 .947 .039 .019

390. .1502 .9996 45.641580 .006 1.945 .044 .022

400. .1482 .9996 45.561125 .005 1.941 .049 .025

410. .1462 .9997 45.479208 .004 1.937 .055 .027

420. .1443 .9997 45.394630 .004 1.932 .061 .031 430. .1424 .9997 45.306646 .003 1.926 .068 .034

440. .1405 .9997 45.214564 .003 1.920 .075 .038

450. .1387 .9997 45.117852 .002 1.912 .083 .042

460. .1369 .9997 45.016388 .002 1 .904 .092 .046

470. .1351 .9997 44.909086 .002 1 .896 .101 .051 480. .1333 .9997 44.795686 .001 1.886 .111 .056

490. .1316 .9997 44.676304 .001 1.876 .122 .061 500. .1298 .9997 44.550395 .001 1.865 .133 .066

57
40.0 PSIA Isobar

T emp Dens i ty Z Molecular Compos i

i on

F 1 b/cu ft mass N204 N02 NO 02

70. 90.0539 .0072 91 .930460 .999 .002 . 000 . 000

80. 89.2781 .0071 91 .920646 .999 .002 . 000 . 000

90. 88.4884 .0070 91 .905398 .999 .002 . 000 . 000

100. 87.6757 .0070 91 .882629 .999 .003 . 000 . 000

110. 86.8333 .0069 91 .850125 .998 .003 . 000 . 000

111.46 86.7077 .0068 91 .844445 .998 .003 . 000 . 000

111.46 .5104 .9466 75.136480 .775 .449 . 000 . 000

120. .4871 .9637 73.005588 .739 .522 . 000 . 000

130. .4603 .9670 70.412826 .693 .616 . 000 . 000

140. .4344 .9702 67.796481 .642 .720 . 000 .000

150. .4090 .9732 65.109196 .586 .831 . 000 .000

160. .3855 .9760 62.544004 .528 .947 .000 . 000

170. .3637 .9786 60.122336 .468 1 .066 . 000 . 000

180. .3441 .9810 57.935378 .410 1.184 . 000 .000

190. .3264 .9832 55.934642 .353 1.297 . 000 . 000

200. .3110 .9852 54.222656 .301 1 .403 . 000 . 000

210. .2984 .9870 52.920730 .255 1 .502 . 000 .000

220. .2858 .9886 51 .529035 .211 1 .585 . 000 .000

230. .2752 .9901 50.414024 .173 1.656 . 000 . 000

240. .2657 .9914 49.443862 .141 1 .713 .005 .002

250. .2580 .9926 48.751285 .115 1 .764 .006 .003

260. .2512 .9937 48.198891 .094 1 .806 .006 .003

270. .2452 .9946 47.746090 .077 1 .839 .008 .004

280. .2399 .9954 47.382049 .062 1 .866 .009 .004

290. .2350 .9961 47.082330 .051 1 .888 .01

.005

300. .2306 .9967 46.840816 .042 1 .905 .012 .006

310. .2265 .9973 46.638124 .034 1 .918 .014 .007

320. .2227 .9977 46.470558 .028 1 .928 .016 .008

330. .2191 .9981 46.326549 .023 1 .935 .019 .009

340. .2157 .9984 46.202853 .019 1 .941 .021 .01

350. .2125 .9987 46.093083 .016 1 .944 .024 .012

360. .2094 .9989 45.993905 .013 1 .946 .028 .014

370. .2064 .9991 45.902026 .011 1.947 .031 .016

380. .2035 .9992 45.815440 .009 1 .946 .035 .018

390. .2008 .9994 45.732051 .008 1 .945 .040 .020

400. .1980 .9994 45.649910 .007 1.942 .044 .022

410. . 1954 .9995 45.567591 .006 1 .939 .050 .025

420. .1928 .9995 45.484359 .005 1 .935 .055 .028

430. .1903 .9996 45.398884 .004 1.930 .062 .031 440. .1878 .9996 45.310445 .003 1.925 .068 .034

450. .1854 .9996 45.218341 .003 1.918 .076 .038

460. .1830 .9996 45.122307 .003 1.911 .084 .042

470. .1806 .9996 45.021382 .002 1 .904 .092 .046

480. .1783 .9995 44.915308 .002 1 .895 .101 .051 490. .1759 .9995 44.803715 .002 1 .886 .111 .055

500. .1736 .9995 44.686217 .001 1.876 .121 .061

58
50.0 PSIA Isobar

T emp Dens i ty Z Mo 1 ecu 1 a r Compos i

i on

F Ib/cu ft mass N204 N02 NO 02

70. 90.0599 . 0090 91 .931034 .999 .002 . 000 . 000

80. 89.2847 .0089 91 .921455 .999 .002 . 000 . 000

90. 88.4956 .0088 91 .906543 .999 .002 . 000 . 000

100. 87.6837 .0087 91 .884257 .999 .003 . 000 . 000

110. 86.8424 .0087 91 .852465 .998 .003 . 000 . 000

120. 85.9664 .0086 91.809160 .998 .004 . 000 . 000

121.47 85.8343 .0085 91 .801696 .998 .004 . 000 . 000

121.47 .6234 .9403 74.193600 .760 .481 . 000 . 000

130. .5945 .9578 72.057444 .723 .555 . 000 . 000

140. .5614 .9619 69.503776 .675 .651 . 000 . 000

150. .5294 .9657 66.901457 .624 .755 . 000 . 000

160. . 4990 .9693 64.331997 .568 .866 . 000 . 000

170. .4706 .9727 61 .858538 .51.980 . 000 . 000

180. .4445 .9757 59.537884 .453 1 .096 . 000 . 000

190. .4208 .9785 57.41491

.396 1 .210 . 000 . 000

200. . 4000 .98155.553935 .342 1 .320 . 000 . 000

210. .3816 .9834 53.932234 .292 1 .421 . 000 . 000

220. .3677 .9855 52.858383 .250 1 .520 . 000 . 000

230. .3512 .9874 51 .327616 .205 1 .594 . 000 . 000

240. .3379 .9890 50.177674 .168 1 .659 .005 .002

250. .3273 .9905 49.374928 .139 1.717 .005 .002

260. .3180 .9919 48.715442 .114 1 .766 .006 .003

270. .3085 .9931 47.981044 .092 1 .796 .020 .010

280. .3025 .9941 47.737048 .077 1 .839 .008 .004

290. .2959 .9950 47.378196 .063 1 .865 .010 .005

300. .2900 .9958 47.087093 .051 1 .886 .01.006

310. .2846 .9964 46.845025 .042 1 .903 .013 .006

320. .2796 .9970 46.644998 .035 1.915 .015 .007

330. .2749 .9975 46.475709 .029 1 .925 .017 .009

340. .2705 .9979 46.330392 .024 1 .933 .020 .010

350. .2663 .9983 46.204443 .020 1 .938 .023 .01

360. .2624 .9986 46.092929 .016 1 .941 .026 .013

370. .2586 .9988 45.992299 .014 1 .943 .029 .014

380. .2550 .9990 45.898592 .012 1 .944 .033 .016

390. .2514 .9991 45.809991 .010 1 .944 .037 .018

400. .2480 .9992 45.724285 .008 1 .942 .041 .021 410. .2447 .9993 45.640506 .007 1 .940 .046 .023

420. .2415 .9994 45.556422 .006 1 .937 .051 .026

430. .2383 .9994 45.471849 .005 1 .933 .057 .029

440. .2352 .9994 45.385078 .004 1 .928 .064 .032

450. .2321 .9994 45.295535 .004 1 .922 .070 .035

460. .2291 .9994 45.202745 .003 1.916 .078 .039

470. .2262 .9994 45.105874 .003 1 .909 .085 .043

480. .2233 .9994 45.004517 .002 1 .901 .094 .047

490. .2204 .9994 44.898252 .002 1 .893 .103 .051 500. .2176 .9994 44.786719 .002 1 .884 .113 .056

59
60.0 PSIA Isobar

T emp Dens i ty Z Molecular Compos i

i on

F 1 b/cu ft mass N204 N02 NO 02

70. 90.0658 .0108 91 .931427 .999 .002 000 . 000

80. 89.2910 .0107 91 .922010 .999 .002 . 000 . 000

90. 88.5024 .0106 91 .907329 .999 .002 . 000 . 000

100. 87.6913 .0105 91 .885377 .999 .003 . 000 . 000

110. 86.8508 .0104 91 .854076 .998 .003 . 000 . 000

120. 85.9760 .0103 91 .811498 .998 .004 . 000 . 000

129.89 85.0735 .0102 91 .756581 .997 .005 . 000 . 000

129.89 .7341 .9479 73.390018 .746 .508 . 000 . 000

130. .7337 .9481 73.362179 .746 .509 . 000 . 000

140. .6933 .9532 70.877451 .701 .598 . 000 . 000

150. .6544 .9580 68.361643 .653 .696 . 000 . 000

160. .6166 .9624 65.772740 .600 .802 . 000 . 000

170. .5832 .9665 63.481724 .547 .913 . 000 . 000

180. .5487 .9702 60.908816 .488 1 .026 . 000 . 000

190. .5189 .9737 58.703590 .432 1.139 . 000 . 000

200. .4923 .9768 56.733532 .377 1 .249 . 000 . 000

210. .4687 .9796 54.989599 .325 1 .354 . 000 . 000

220. .4479 .9822 53.475964 .277 1 .451 . 000 .000

230. .4303 .9845 52.253345 .235 1 .540 . 000 . 000

240. .4131 .9865 50.999909 .195 1 .613 . 000 . 000

250. .3983 .9884 49.962871 .161 1 .674 .005 .002

260. .3862 .9900 49.206623 .133 1 .729 .006 .003

270. .3749 .9914 48.501065 . 109 1 .771 .012 .006

280. .3661 .9927 48.079744 .090 1.812 .008 .004

290. .3577 .9938 47.667509 .074 1 .843 .009 .004

300. .3501 .9948 47.324084 .061 1 .868 .01

.005

310. .3433 .9956 47.046888 .050 1 .887 .012 .006

320. .3370 .9963 46.814656 .041 1 .903 .014 .007

330. .331

.9969 46.620137 .034 1.915 .016 .008

340. .3257 .9974 46.454206 .028 1 .925 .019 .009

350. .3205 .9978 46.312478 .024 1 .932 .021 .01

360. .3156 .9982 46.187761 .020 1 .936 .024 .012

370. .3110 .9984 46.076375 .017 1 .940 .027 .014

380. .3065 .9987 45.974781 .014 1 .941 .031 .015

390. .3023 .9989 45.880362 .012 1 .942 .035 .017

400. .2981 .9990 45.790820 .010 1 .941 .039 .019

410. .2941 .9991 45.704133 .008 1 .940 .043 .022

420. .2902 .9992 45.618728 .007 1 .937 .048 .024

430. .2864 .9992 45.533512 .006 1 .934 .054 .027

440. .2827 .9992 45.447227 .005 1 .930 .060 .030

450. .2790 .9992 45.359000 .004 1 .925 .066 .033

460. . 2754 .9992 45.268042 .004 1 .919 .073 .037

470. .2719 .9992 45.173964 .003 1.913 .080 .040

480. .2684 .9992 45.075863 .003 1 .906 .088 .044

490. .2650 .9992 44.973393 .002 1 .898 .097 .048

500. .2616 .9992 44.866149 .002 1 .890 .106 .053

60
80.0 PSIA Isobar

T emp Dens i ty Z Molecular Compost i on

F Ib/cu ft mass N204 N02 NO 02

70. 90. 1022 .0144 91 .957465 .999 .001 . 000 . 000

80. 89.3032 .0142 91 .922738 .999 .002 . 000 . 000

90. 88.5156 .0141 91 .908365 .999 .002 . 000 . 000

100. 87.7056 .0140 91 .886857 .999 .003 . 000 . 000

110. 86.8666 .0138 91 .856202 .998 .003 . 000 . 000

120. 85.9935 .0137 91 .814574 .998 .004 . 000 . 000

130. 85.0826 .0136 91 .760340 .997 .005 . 000 . 000

140. 84.1308 .0135 91 .691671 .997 .007 . 000 . 000

143.60 83.7777 .0134 91 .662994 .996 .007 . 000 . 000

143.60 .9510 .9273 72.119429 .724 .553 . 000 . 000

150. .9165 .9414 70.561345 . 695 .610 . 000 . 000

160. .8642 .9477 68.077635 . 648 .706 . 000 . 000

170. .8146 .9534 65.600697 .596 .809 . 000 . 000

180. .7682 .9587 63.186360 . 543 .917 . 000 . 000

190. .7252 .9635 60.887057 .488 1 .027 . 000 . 000

200. .6860 .9678 58.747012 .433 1.137 . 000 . 000

210. .6507 .9717 56.797941 .379 1 .243 . 000 . 000

220. .6196 .9753 55.088585 .329 1 .345 . 000 . 000

230. .5926 .9784 53.640527 .282 1 .440 . 000 . 000

240. .5720 .9813 52.682157 .244 1 .533 . 000 . 000

250. .5450 .9838 51 .042305 .200 1 .595 .005 .003

260. .5267 .9860 50.137341 .167 1 .660 .005 .003

270. .5106 .9880 49.373238 .139 1.715 .006 .003

280. .4964 .9897 48.745898 .116 1 .762 .007 .003

290. .4838 .9912 48.224025 .096 1 .800 .008 .004

300. .4725 .9925 47.793887 .079 1 .832 .009 .005

310. .4624 .9937 47.439086 .066 1 .858 .01 1 .005

320. .4532 .9947 47. 144001 .055 1 .878 .013 .006

330. .4448 .9955 46.899713 .045 1 .895 .014 .007

340. .4370 .9962 46.693679 .038 1 .908 .017 .008

350. .4297 .9968 46.518006 .031 1.918 .019 .010

360. .4229 .9973 46.366705 .026 1 .926 .022 .01

370. .4164 .9977 46.234083 .022 1 .931 .025 .012

380. .4103 .9980 46.115819 .019 1 .935 .028 .014

390. .4044 .9982 46.008226 .016 1 .937 .031 .016

400. .3987 .9984 45.908906 .013 1 .938 .035 .018

410. .3933 .9986 45.815283 .01

1 .938 .039 .020

420. .3880 .9987 45.725188 .010 1 .937 .044 .022

430. .3829 .9988 45.637019 .008 1 .935 .049 .024

440. .3779 .9988 45.549693 .007 1 .932 .054 .027

450. .3730 .9988 45.461862 .006 1 .928 .060 .030

460. .3682 .9988 45.372634 .005 1 .923 .066 .033

470. .3635 .9988 45.281322 .004 1.918 .073 .037

480. .3589 .9988 45.187120 . 004 1.912 .080 .040

490. .3544 .9988 45.089498 .003 1 .905 .088 .044

500. .3499 .9988 44.987963 .003 1 .898 .096 .048

61
100.0 PSIA Isobar

Temp Dens i ty Z Molecular Compos i

i on

F Ib/cu ft mass N204 N02 NO 02

70. 90.1134 .0180 91 .957750 .999 .001 . 000 . 000

80. 89.3350 .0178 91 .943654 .999 .002 . 000 . 000

90. 88.5285 .0176 91 .909044 .999 .002 . 000 . 000

100. 87.7195 .0174 91 .887830 .999 .003 . 000 . 000

110. 86.8816 .0173 91 .857592 .998 .003 . 000 . 000

120. 86 .0100 .0172 91 .816582 .998 .004 . 000 . 000

130. 85.1010 .0170 91 .763235 .997 .005 . 000 . 000

140. 84.1514 .0169 91 . 695838 .997 .007 . 000 . 000

150. 83.1537 .0168 91 .608141 .996 .008 . 000 . 000

154.61 82.6805 .0167 91 .564599 .995 . 009 . 000 . 000

154.61 1.1637 .9192 71 .133039 .706 .589 . 000 . 000

160. 1.1273 .9317 69.844478 .682 .638 . 000 . 000

170. 1 .0617 .9393 67.382910 .634 .734 . 000 . 000

180. 1 .0003 .9462 64.970727 .583 .835 . 000 . 000

190. .9432 .9525 62.634003 .530 .941 . 000 . 000

200. .8908 .9581 60.419319 .476 1 .049 . 000 . 000

210. .8431 .9632 58.363717 .423 1.156 . 000 . 000

220. .8007 .9678 56.522859 .371 1 .259 . 000 . 000

230. .7630 .9719 54.886172 .322 1 .357 . 000 . 000

240. .7298 .9756 53.455855 .277 1 .448 . 000 . 000

250. .7022 .9788 52.345377 .238 1.533 . 000 . 000

260. .6727 .9817 51 .003356 . 198 1 .599 .005 .002

270. .6499 .9843 50.089734 .166 1 .661 .007 .003

280. .6305 .9865 49.373415 . 139 1 .715 .006 .003

290. .6131 .9884 48.756437 .116 1 .760 .007 .004

300. .5977 .9901 48.243293 .097 1 .798 .008 .004

310. .5827 .9916 47.723513 .080 1 .824 .016 .008

320. .5714 .9929 47.46501

.067 1 .854 .012 .006

330. .5601 .9939 47.171722 .056 1 .875 .013 .007

340. .5496 .9949 46.924507 .047 1 .891 .015 .008

350. .5400 .9956 46.716364 .039 1 .904 .018 .009

360. .531

.9963 46.538009 .033 1 .915 .020 .010

370. .5227 .9968 46.383365 .028 1 .922 .023 .011 380. .5147 .9972 46.247822 .023 1 .928 .026 .013

390. .5071 .9975 46. 126541 .020 1 .932 .029 .014

400. .4999 .9978 46.016250 .017 1 .934 .032 .016

410. .4930 .9980 45.914118 .014 1 .935 .036 .018

420. .4863 .9982 45.817659 .012 1 .935 .041 .020

430. .4798 .9983 45.725359 .010 1 .934 .045 .023

440. .4735 .9983 45.635073 .009 1 .932 .050 .025

450. .4673 .9984 45.546022 .008 1 .929 .056 .028

460. .4613 .9984 45.456649 .006 1 .925 .062 .031 470. .4555 .9984 45.366132 .006 1 .921 .068 .034

480. .4497 .9984 45.273817 .005 1.916 .075 .037

490. .4440 .9984 45.178863 .004 1 .910 .082 .041 500. .4384 .9984 45.080754 .004 1 .903 .090 .045

62
150.0 PSIA Isobar

T emp Dens i ty Z Molecular Compos i

i on

F 1 b/c u ft mass N204 N02 NO 02

70. 90.1411 .0269 91 .958235 .999 .001 . 000 . 000

80. 89.3645 .0266 91 .944378 .999 .002 . 000 . 000

90. 88.5740 .0264 91 .924716 .999 .002 . 000 . 000

100. 87.7618 .0262 91 .898339 .999 .003 . 000 . 000

110. 86.9181 .0259 91 .859804 .998 .003 . 000 . 000

120. 86.0495 .0257 91 .819731 .998 .004 . 000 . 000

1 30. 85.1442 .0255 91 .767706 .997 .005 . 000 . 000

140. 84. 1989 .0254 91 .702172 .997 .007 . 000 . 000

150. 83.2100 .0252 91 .620997 .996 .008 . 000 . 000

160. 82.1721 .0251 91 .519967 .995 .010 . 000 . 000

170. 81 .0820 .0250 91 .398963 .993 .013 . 000 . 000

175.50 80.4567 .0248 91 .321087 .993 .014 . 000 . 000

175.50 1 . 6850 .8992 69.337326 .672 .656 . 000 . 000

180. 1 .6379 .9108 68.271301 .652 .697 . 000 . 000

190. 1 .5396 .9215 65.941189 .604 .793 . 000 . 000

200. 1 .4490 .9310 63.663971 .554 .893 . 000 . 000

210. 1.3659 .9395 61 .482100 .503 .995 . 000 . 000

220. 1 .2905 .9471 59.429649 .451 1 .098 . 000 . 000

230. 1 .2210 .9538 57.458815 .400 1.198 .002 .001 240. 1.1607 .9598 55.763215 .351 1 .295 .003 .001 250. 1 .0987 .9650 53.832622 .300 1 .379 .020 .010

260. 1 .0634 .9697 53.090660 .265 1 .472 . 000 . 000

270. 1.0184 .9738 51 .767835 .225 1 .543 .006 .003

280. .9827 .9774 50.826127 .192 1 .610 .005 .003

290. .9508 .9805 50.002006 .163 1 .668 .006 .003

300. .9227 .9833 49.307804 .137 1 .718 .007 .004

310. .8978 .9856 48.724016 .116 1 .760 .008 .004

320. .8756 .9877 48.235504 .097 1 .796 .010 .005

330. .8556 .9894 47.826297 .082 1 .825 .01 1 .006

340. .8376 .9909 47.482665 .069 1 .850 .013 .007

350. .8212 .9922 47.193827 .058 1 .869 .015 .008

360. .8061 .9932 46.948702 .049 1 .886 .017 .009

370. .7921 .9941 46.739068 .041 1 .898 .020 .010

380. .7791 .9948 46.558403 .035 1 .908 .022 .01

390. .7669 .9954 46.400332 .029 1 .916 .025 .013

400. .7553 .9959 46.260496 .025 1 .922 .028 .014

410. .7443 .9962 46.134992 .021 1.926 .032 .016

420. .7338 .9965 46.020233 .018 1 .928 .035 .018

430. .7237 .9967 45.913643 .016 1 .930 .039 .020

440. .7140 .9969 45.813120 .013 1 .930 .044 .022

450. .7046 .9970 45.716631 .01

1 .929 .048 .024

460. .6955 .9971 45.622836 .010 1 .927 .054 .027

470. .6865 .9971 45.530267 .009 1 .924 .059 .030

480. .6778 .9972 45.437874 .007 1 .920 .065 .032

490. .6693 .9972 45.344818 .006 1.916 .071 .036

500. .6609 .9972 45.250230 .006 1.911 .078 .039

63
200.0 PSIA Isobar

T emp Dens i ty Z Molecular Compos i

i on

F 1 b/cu ft mass N204 N02 NO 02

70. 90. 1687 .0359 91 .958578 .999 .001 . 000 . 000

80. 89.3937 .0355 91 .944908 .999 .002 . 000 . 000

90. 88.6052 .0352 91 .925482 .999 .002 . 000 . 000

100. 87.7951 .0349 91 .899417 .999 .003 . 000 . 000

110. 86.9538 .0346 91 .861280 .998 .003 . 000 .000

120. 86.0880 .0343 91 .821803 .998 .004 . 000 . 000

130. 85.1858 .0340 91 .770589 .997 .005 . 000 . 000

140. 84.2441 .0338 91 .706160 .997 .007 . 000 . 000

150. 83.2595 .0336 91 .626497 .996 .008 . 000 .000

160. 82.2268 .0335 91 .527539 .995 .010 . 000 . 000

170. 81 .1430 .0333 91 .409317 .993 .013 . 000 . 000

180. 79.9980 .0332 91 .264684 .992 .016 . 000 . 000

190. 78.7825 .0332 91 .088946 .990 .019 . 000 . 000

191.03 78.6525 .0327 91 .068815 .990 .020 . 000 . 000

191.03 2.2005 .8742 68.091032 .648 .705 . 000 . 000

200. 2.0756 .8992 66.060186 .607 .788 . 000 . 000

210. 1 .9485 .9119 63.845932 .558 .885 . 000 . 000

220. 1 .8305 .9231 61 .621874 .508 .983 .002 .001 230. 1 .7270 .9329 59.621789 .458 1 .083 .002 .001 240. 1 .6349 .9416 57.790551 .409 1 .181 .002 .001 250. 1 .5524 .9492 56.109988 .361 1 .275 .002 .001 260. 1 .4794 .9559 54.608910 .317 1 .364 .003 .002

270. 1.4146 .9618 53.266394 .275 1 .446 .005 .002

280. 1 .3643 .9669 52.354662 .240 1 .526 . 000 . 000

290. 1 .3089 .9714 51 .146043 .204 1 .588 .005 .003

300. 1 .2652 .9753 50.297233 .174 1 .646 .006 .003

310. 1 .2266 .9787 49.576825 .148 1 .697 .007 .004

320. 1.1906 .9816 48.890310 .125 1 .738 .013 .007

330. 1.1620 .9841 48.453979 . 106 1 .778 .010 .005

340. 1.1348 .9863 48.020681 .090 1 .809 .012 .006

350. 1.1102 .9881 47.654678 .076 1 .835 .013 .007

360. 1 .0878 .9896 47.344956 .064 1 .856 .015 .008

370. 1 .0674 .9909 47.081310 .054 1 .874 .018 .009

380. 1 .0485 .9919 46.855272 .046 1 .888 .020 .010

390. 1 .0309 .9928 46.659853 .039 1 .899 .022 .011 400. 1.0145 .9935 46.489133 .033 1 .908 .025 .013

410. .9990 .9941 46.338195 .028 1 .915 .028 .014

420. .9843 .9945 46.202938 .024 1 .920 .032 .016

430. .9703 .9948 46.079965 .021 1 .923 .035 .018

440. .9569 .9951 45.966397 .018 1 .925 .039 .020

450. .9440 .9953 45.860032 .015 1 .925 .044 .022

460. .9315 .9955 45.758704 .013 1 .925 .048 .024

470. .9194 .9956 45.660983 .012 1 .923 .053 .027

480. .9077 .9957 45.565322 .010 1 .921 .059 .029

490. .8962 .9958 45.470600 .009 1 .918 .065 .032

500. .8849 .9958 45.375907 .008 1 .914 .071 .035

64
250.0 PSIA Isobar

T emp Dens i ty Z Molecular Compos i

i on

F 1 b/c u ft mass N204 N02 NO 02

70. 90. 1961 .0448 91 .958859 .999 .001 . 000 . 000

80. 89.4229 .0444 91 .945351 .999 .002 . 000 .000

90. 88.6361 .0440 91 .926127 .999 .002 . 000 . 000

100. 87.8282 .0436 91 .900314 .999 .002 . 000 . 000

110. 86.9935 .0432 91 .867080 .998 .003 . 000 . 000

120. 86.1259 .0428 91 .823439 .998 .004 . 000 . 000

130. 85.2267 .0425 91 .772827 .997 .005 . 000 .000

140. 84.2883 .0423 91 .709200 .997 .007 . 000 . 000

150. 83.3078 .0420 91 .630608 .996 .008 . 000 . 000

160. 82.2795 .0418 91 .533081 .995 .010 . 000 . 000

170. 81 .201.0417 91 .416786 .994 .013 . 000 . 000

180. 80.0628 .0415 91 .274707 .992 .016 . 000 . 000

190. 78.8555 .0414 91 .102358 .990 .019 . 000 . 000

200. 77.5657 .0414 90.894041 .988 .024 .001 . 000

203.51 77.0911 .0410 90.811241 .987 .025 .001 . 000

203.51 2.7168 .8599 67.155249 .629 .742 . 000 . 000

210. 2.5984 .8798 65.717350 .600 .802 . 000 . 000

220. 2.4303 .8955 63.496961 .551 .896 .001 . 000

230. 2.2824 .9092 61 .431990 .503 .993 .001 .001 240. 2.1508 .9211 59.495202 .454 1 .090 .002 .001 250. 2.0337 .9314 57.701112 .406 1.185 .002 .001 260. 1 .9302 .9405 56.076892 .360 1 .276 .003 .001 270. 1 .8387 .9483 54.615990 .317 1 .363 .003 .002

280. 1 .7583 .9552 53.324917 .276 1 .443 .004 .002

290. 1 .6971 .9612 52.493998 .243 1 .522 . 000 . 000

300. 1 .6253 .9664 51 .217658 .206 1 .581 .006 .003

310. 1 .5707 .9709 50.383266 .177 1 .639 .007 .003

320. 1 .5183 .9748 49.531301 .150 1 .685 .015 .008

330. 1 .4797 .9781 49.058620 .129 1 .733 .009 .005

340. 1.4416 .9810 48.542267 .110 1 .770 .01

.005

350. 1 .4075 .9834 48.104166 .093 1 .801 .012 .006

360. 1 .3767 .9854 47.732266 .079 1 .827 .014 .007

370. 1 .3487 .9872 47.415779 .067 1 .849 .016 .008

380. 1 .3231 .9886 47.145091 .057 1 .867 .018 .009

390. 1 .2995 .9898 46.912194 .049 1 .882 .021 .010

400. 1 .2776 .9908 46.710164 .042 1 .893 .023 .012

410. 1 .2572 .9915 46.533213 .036 1 .903 .026 .013

420. 1 .2379 .9922 46.376487 .031 1 .910 .029 .015

430. 1.2196 .9927 46.235942 .026 1.915 .033 .016

440. 1.2023 .9931 46.108190 .023 1.918 .036 .018

450. 1.1856 .9934 45.990389 .019 1 .921 .040 .020

460. 1.1696 .9936 45.880173 .017 1 .922 .045 .022

470. 1.1542 .9938 45.775574 .015 1 .921 .049 .025

480. 1.1392 .9940 45.674918 .013 1 .920 .054 .027

490. 1.1246 .9942 45.576803 .01

1.918 .060 .030

500. 1.1104 .9943 45.480034 .010 1.915 .066 .033

65
300.0 PSIA Isobar

T emp Density Z Molecular Compos i

i on

F Ib/cu ft mass N204 N02 NO 02

70. 90.2236 .0538 91 .9591 10 .999 .001 . 000 . 000

80. 89.4519 .0532 91 .945745 .999 .002 . 000 . 000

90. 88.6670 .0527 91 .926707 .999 .002 . 000 . 000

100. 87.861.0522 91.901116 .999 .002 . 000 . 000

110. 87.0286 .0518 91 .868160 .998 .003 . 000 . 000

120. 86.1635 .0514 91 .824843 .998 .004 . 000 . 000

130. 85.2671 .0510 91 .774738 .997 .005 . 000 . 000

140. 84.3320 .0507 91 .711757 .997 .007 . 000 . 000

150. 83.3551 .0504 91 .634014 .996 .008 . 000 .000

160. 82.3322 .0502 91 .538909 .995 .010 . 000 . 000

170. 81 .2578 .0500 91 .422795 .994 .013 . 000 .000

180. 80.1257 .0498 91.282673 .992 .016 . 000 . 000

190. 78.9255 .0497 91.112893 .990 .019 . 000 . 000

200. 77.6448 .0496 90.907941 .988 .024 . 000 . 000

210. 76.2666 .0496 90.660716 .985 .029 .001 .000

213.98 75.6868 .0492 90.549119 .984 .031 .001 .000

213.98 3.2377 .8437 66.416988 .614 .772 . 000 . 000

220. 3.0973 .8639 65.050352 .586 .827 .001 .001 230. 2.8931 .8822 62.964122 .539 .920 .001 .001 240. 2.7131 .8980 60.972959 .492 1.015 • 002 .001 250. 2.5436 .9115 58.856962 .441 1.108 .009 .005

260. 2.4143 .9233 57.383392 .398 1 .202 .002 .001 270. 2.2910 .9335 55.818832 .353 1 .291 .003 .002

280. 2.1828 .9423 54.421316 .31

1 .375 .004 .002

290. 2.0872 .9499 53.167737 .272 1 .452 .005 .002

300. 2.0036 .9566 52.081575 .236 1 .522 .006 .003

310. 1 .9306 .9623 51 .148566 .204 1 .585 .006 .003

320. 1 .8601 .9672 50.177598 .174 1 .636 .016 .008

330. 1 .8091 .9715 49.644219 .151 1 .690 .008 .004

340. 1 .7585 .9751 49.050034 .129 1 .732 .010 .005

350. 1.7134 .9782 48.543722 .110 1 .768 .01

.006

360. 1 .6730 .9809 48.112505 .094 1 .799 .013 .007

370. 1 .6365 .9831 47.744932 .080 1 .825 .015 .007

380. 1 .6033 .9849 47.430550 .068 1 .846 .017 .008

390. 1 .5730 .9865 47. 160514 .058 1 .864 .019 .010

400. 1 .5450 .9877 46.927135 .050 1 .878 .022 .011 410. 1.5190 .9888 46.723844 .043 1 .890 .024 .012

420. 1 .4947 .9896 46.545138 .037 1 .899 .027 .014

430. 1 .4718 .9903 46.386396 .032 1 .906 .031 .015

440. 1 .4502 .9909 46.243561 .027 1.911 .034 .017

450. 1 .4296 .9913 46.113570 .023 1 .915 .038 .019

460. 1 .4099 .9917 45.993498 .020 1.917 .042 .021 470. 1 .3909 .9920 45.881063 .018 1 .918 .046 .023

480. 1 .3725 .9922 45.774371 .015 1.918 .051 .026

490. 1 .3547 .9924 45.671747 .013 1 .917 .056 .028

500. 1 .3374 .9926 45.571819 .012 1 .915 .062 .031
400.0 PSIA Isobar

T emp Density Z Mo 1 ecu 1 a r Compos i t i on

F Ib/cu ft mass N204 N02 NO 02

70. 90.2784 .0717 91 .959573 .999 .001 . 000 .000

80. 89.5099 .0709 91 .946459 .999 .002 . 000 . 000

90. 88.7286 .0703 91 .927750 .999 .002 . 000 . 000

100. 87.9267 .0696 91 .902561 .999 .002 . 000 .000

110. 87.0986 .0690 91 .870091 .998 .003 . 000 . 000

120. 86.2383 .0685 91 .827313 .998 .004 . 000 . 000

130. 85.3473 .0680 91 .778048 .997 .005 . 000 . 000

140. 84.4182 .0675 91 .716123 .997 .006 . 000 . 000

150. 83.4484 .0671 91 .639740 .996 .008 . 000 . 000

160. 82.4335 .0668 91 .546402 .995 .010 . 000 . 000

170. 81 .3683 .0665 91 .432575 .994 .013 . 000 . 000

180. 80.2474 .0663 91 .295426 .992 .015 . 000 . 000

190. 79.0606 .0661 91 .129570 .990 .019 . 000 . 000

200. 77.7964 .0660 90.929665 .988 .023 . 000 . 000

210. 76.4391 .0660 90.688967 .986 .028 . 000 . 000

220. 74.9671 .0661 90.400473 .982 .035 .001 . 000

230. 73.3489 .0664 90.053766 .979 .042 .001 . 000

231 .03 73. 1714 .0655 90.014120 .978 .043 .001 . 000

231 .03 4.3025 .8084 65.285443 .591 .817 .001 .001 240. 4.0116 .8426 63.451130 .550 .898 .001 .001 250. 3.7346 .8648 61 .492791 .504 .989 .002 .001 260. 3.4970 .8835 59.651542 .458 1 .081 .002 .001 270. 3.2909 .8994 57.937854 .413 1.171 .003 .001 280. 3.1116 .9129 56.367769 .369 1 .258 .003 .002

290. 2.9462 .9245 54.780838 .325 1 .339 .010 .005

300. 2.8144 .9345 53.599506 .287 1 .417 .008 .004

310. 2.6920 .9430 52.419036 .251 1 .486 .012 .006

320. 2.5961 .9504 51 . 608445 .220 1 .553 .006 .003

330. 2.5046 .9567 50.761780 . 191 1.611 .007 .004

340. 2.4238 .9621 50.027837 .165 1 .661 .009 .004

350. 2.3524 .9667 49.397797 .142 1 .706 .010 .005

360. 2.2877 .9706 48.829532 .122 1 .743 .013 .007

370. 2.2322 .9739 48.391323 . 105 1 .777 .013 .007

380. 2.1812 .9767 47.992653 .090 1 .804 .015 .008

390. 2.1350 .9791 47.650239 .077 1 .828 .017 .009

400. 2.0929 .9810 47.354650 .067 1 .848 .019 .010

410. 2.0543 .9827 47.098602 .057 1 .864 .022 .011 420. 2.0185 .9840 46.875306 .049 1 .877 .024 .012

430. 1 .9853 .9851 46.679011 .042 1 .888 .027 .014

440. 1 .9541 .9860 46.504896 .037 1 .896 .031 .015

450. 1 .9247 .9868 46.348720 .032 1 .903 .034 .017

460. 1 .8967 .9874 46.207225 .027 1 .907 .038 .019

470. 1 .8701 .9879 46.077312 .024 1.911 .042 .021 480. 1 .8445 .9883 45.956533 .021 1 .913 .046 .023

490. 1.8198 .9887 45.842831 .018 1 .913 .051 .025

500. 1 .7959 .9891 45.734407 .016 1 .913 .055 .028

67
500.0 PSIA Isobar

T emp Dens i ty Z Molecular Compos ii on

F Ib/cu ft mass N204 N02 NO 02

70. 90.3392 .0896 91 .966141 .999 .001 . 000 . 000

80. 89.5677 .0886 91 .947124 .999 .001 . 000 . 000

90. 88.7899 .0878 91 .928708 .999 .002 . 000 . 000

100. 87.9919 .0870 91 .903882 .999 .002 . 000 . 000

110. 87. 1681 .0862 91 .871851 .998 .003 . 000 . 000

120. 86.3144 .0855 91 .831583 .998 .004 . 000 . 000

130. 85.4267 .0849 91 .780988 .997 .005 . 000 . 000

140. 84.5035 .0843 91 .719959 .997 .006 . 000 . 000

150. 83.5403 .0838 91 .644702 .996 .008 . 000 . 000

160. 82.5330 .0834 91 .552803 .995 .010 . 000 . 000

170. 81 .4766 .0830 91 . 440801 .994 .012 . 000 . 000

180. 80.3661 .0828 91 .306038 .992 .015 . 000 . 000

190. 79.1918 .0825 91 .143217 .991 .019 . 000 . 000

200. 77.9428 .0824 90.947209 .988 .023 . 000 . 000

210. 76.6043 .0824 90.711800 .986 .028 . 000 . 000

220. 75.1558 .0825 90.429360 .983 .034 . 000 . 000

230. 73.5689 .0827 90.090952 .979 .041 .001 . 000

240. 71 .801.0832 89.684918 .974 .050 .001 . 000

244.72 70.8859 .0829 89.465795 .972 .055 .001 . 000

244.72 5.4193 .7819 64.542994 .575 .849 .001 .001 250. 5.1718 .8060 63.491715 .551 .896 .001 .001 260. 4.7740 .8351 61 .577203 .507 .985 .002 .001 270. 4.4444 .8588 59.773309 .462 1 .075 .002 .001 280. 4.1654 .8785 58.093443 .417 1.163 .003 .001 290. 3.9265 .8951 56.550998 .375 1 .248 .003 .002

300. 3.7208 .9092 55.157106 .334 1 .329 .004 .002

310. 3.5424 .9212 53.904630 .295 1 .405 .005 .002

320. 3.3873 .9314 52.792970 .260 1 .475 .006 .003

330. 3.2523 .9401 51 .818762 .228 1 .538 .007 .003

340. 3.1338 .9476 50.963946 . 198 1 .596 .008 .004

350. 3.0298 .9539 50.222223 . 172 1 .646 .009 .004

360. 2.9379 .9593 49.580139 .149 1.691 .010 .005

370. 2.8564 .9639 49.025025 . 129 1 .730 .012 .006

380. 2.7837 .9677 48.547057 .111 1 .763 .014 .007

390. 2.7184 .9710 48.134591 .096 1 .792 .016 .008

400. 2.6594 .9737 47.778473 .083 1.816 .018 .009

410. 2.6057 .9760 47.470030 .072 1 .837 .020 .010

420. 2.5565 .9779 47.201794 .062 1 .854 .022 .01

430. 2.5111 .9795 46.967185 .053 1 .868 .025 .013

440. 2.4690 .9808 46.760571 .046 1 .880 .028 .014

450. 2.4296 .9819 46.577087 .040 1 .889 .031 .016

460. 2.3924 .9829 46.412601 .035 1 .896 .035 .017

470. 2.3572 .9836 46.263579 .030 1 .901 .038 .019

480. 2.3236 .9843 46.127075 .026 1 .905 .042 .021 490. 2.2915 .9849 46.000498 .023 1 .908 .047 .023

500. 2.2605 .9855 45.881758 .020 1 .909 .051 .026

68
600.0 PSIA Isobar

T emp Dens i ty Z Molecular Compos i

i on

F Ib/cu ft mass N204 N02 NO 02

70. 90.3940 .1074 91 .966690 .999 .001 . 000 . 000

80. 89.6254 .1063 91 .947760 .999 .001 . 000 . 000

90. 88.851

.1052 91 .929619 .999 .002 . 000 . 000

100. 88.0569 .1043 91 .905128 .999 .002 . 000 . 000

110. 87.2373 .1034 91 .873504 .998 .003 . 000 . 000

120. 86.3881 .1025 91 .833735 .998 .004 . 000 . 000

130. 85.5056 .1018 91 .783707 .997 .005 . 000 . 000

140. 84.5882 .1011 91 .723499 .997 .006 . 000 . 000

150. 83.6313 .1005 91 .649246 .996 .008 . 000 . 000

160. 82.6313 .1000 91 .55861

.995 .010 . 000 . 000

170. 81 .5833 .0995 91 .448191 .994 .012 .000 . 000

180. 80.4827 .0992 91 .315484 .992 .015 . 000 . 000

190. 79.3201 .0989 91 .155254 .991 .019 . 000 . 000

200. 78.0853 .0987 90.962542 .989 .023 . 000 . 000

210. 76.7643 .0987 90.731327 .986 .028 . 000 . 000

220. 75.3381 .0988 90.454236 .983 .034 . 000 . 000

230. 73.7800 .0990 90.122654 .979 .041 .001 . 000

240. 72.0513 .0995 89.725389 .975 .050 .001 . 000

250. 70.0919 .1003 89.248998 .969 .060 .001 . 000

256.21 68.7174 .1005 88.905961 .966 .068 .001 .001 256.21 6.6005 .7533 64.003228 .563 .872 .001 .001 260. 6.3524 .7738 63.271413 .546 .906 .002 .001 270. 5.8096 .8098 61 .399275 .502 .993 .002 .001 280. 5.3776 .8383 59.638032 .458 1 .081 .002 .001 290. 5.0213 .8615 57.999896 .415 1.167 .003 .001 300. 4.7216 .8807 56.499396 .373 1 .250 .003 .002

310. 4.4662 .8968 55.136989 .333 1 .329 .004 .002

320. 4.2466 .9104 53.913028 .296 1 .403 .005 .003

330. 4.0569 .9219 52.82501.261 1 .472 .006 .003

340. 3.8918 .9317 51 .86101

.229 1 .534 .007 .004

350. 3.7481 .9400 51 .022976 .201 1 .590 .008 .004

360. 3.6218 .9471 50.287509 .175 1 .641 .010 .005

370. 3.5106 .9531 49.649260 .152 1 .685 .011 .005

380. 3.4119 .9582 49.095424 . 132 1 .723 .013 .006

390. 3.3239 .9625 48.615840 .114 1 .757 .014 .007

400. 3.2451 .9661 48.200620 .099 1 .785 .016 .008

410. 3.1738 .9691 47.840633 .086 1.810 .018 .009

420. 3.1091 .9716 47.527610 .074 1 .831 .021 .010

430. 3.0498 .9737 47.254438 .064 1 .848 .023 .012

440. 2.9952 . 9755 47.014789 .056 1 .862 .026 .013

450. 2.9444 .9770 46.803114 .048 1 .874 .029 .015

460. 2.8969 .9783 46.614730 .042 1 .884 .032 .016

470. 2.8523 .9793 46.445576 .037 1 .891 .036 .018

480. 2.8099 .9803 46.292180 .032 1 .897 .039 .020

490. 2.7695 .981

46. 151590 .028 1 .901 .043 .022

500. 2.7308 .9819 46.021290 .024 1 .903 .048 .024

69
700.0 PSIA Isobar

T emp Dens i ty Z Mo 1 ecu 1 a r Compos i

i on

F Ib/cu ft mass N 204 N02 NO 02

70 . 90.4487 .1252 91 .967224 .999 .001 . 000 . 000

80 . 89.6865 .1239 91 .951889 .999 .001 . 000 .000

90 . 88.9121 .1227 91 .930498 .999 .002 . 000 . 000

100 . 88.1216 .1216 91 .906324 .999 .002 . 000 . 000

110 . 87.3061 .1205 91 .875083 .998 .003 . 000 . 000

120 . 86.4615 .1195 91 .835786 .998 .004 . 000 . 000

130 . 85.5839 .1186 91 .786276 .998 .005 . 000 . 000

140 . 84.6722 .1178 91 .726839 .997 .006 . 000 . 000

150 . 83.7215 . 1171 91 .653518 .996 .008 . 000 . 000

160 . 82.7285 .1165 91 .564041 .995 .010 . 000 . 000

170 . 81 .6893 .1160 91 .455478 .994 .012 . 000 . 000

180 . 80.5976 .1155 91 .324203 .992 .015 . 000 .000

190 . 79.4462 .1152 91 .166293 .991 .018 . 000 . 000

200 . 78.2250 .1150 90.976510 .989 .022 . 000 .000

210 . 76.9206 .1149 90.749004 .986 .027 . 000 . 000

220 . 75.5152 .1150 90.476613 .983 .033 .000 . 000

230 . 73.9842 .1153 90.151009 .980 .040 . 000 . 000

240 . 72.2917 .1158 89.761390 .975 .049 .001 . 000

250 . 70.3836 .1166 89.294729 .970 .059 .001 . 000

260 . 68.1695 .1180 88.734593 .964 .072 .001 .001 266.13 66.5920 . 1186 88.335748 .959 .081 .001 .001 266.13 7.8662 .7229 63.611508 .554 .890 .002 .001 270 . 7.5210 .7474 62.879822 .537 .923 .002 .001 280 . 6.8161 .7900 61 .055220 .494 1.010 .002 .001 290 . 6.2778 .8225 59.340051 .451 1 .096 .003 .001 300 . 5.8447 .8485 57.752416 .408 1.180 .003 .002

310 . 5.4856 .8698 56.295357 .367 1 .261 .004 .002

320 . 5.1830 .8874 54.976261 .329 1 .338 .005 .002

330 . 4.9246 .9022 53.788071 .292 1.410 .006 .003

340 . 4.7027 .9147 52.734356 .258 1 .477 .006 .003

350 . 4.5105 .9253 51 .801955 .227 1 .537 .008 .004

360 . 4.3429 .9342 50.980968 .200 1 .592 .009 .004

370 . 4.1963 .9418 50.264145 .174 1 .641 .010 .005

380 . 4.0671 .9482 49.638721 .152 1 .684 .012 .006

390 . 3.9527 .9536 49.095089 .132 1 .722 .013 .007

400 . 3.8507 .9581 48.622556 . 115 1 .754 .015 .008

410 . 3.7592 .9620 48.211860 .100 1 .783 .017 .009

420 . 3.6766 .9652 47.854465 .087 1 .807 .019 .010

430 . 3.6015 .9679 47.542667 .075 1 .827 .022 .011 440 . 3.5327 .9702 47.269569 .066 1 .844 .024 .012

450 . 3.4692 .9721 47.029100 .057 1 .859 .027 .014

460 . 3.4102 .9737 46.816170 .050 1 .870 .030 .015

470 . 3.3551 .9751 46.626038 .043 1 .880 .034 .017

480 . 3.3031 .9763 46.454953 .038 1 .887 .037 .019

490 . 3.2538 .9774 46.299460 .033 1 .893 .041 .020

500 . 3.2067 .9784 46.156707 .029 1 .897 .045 .022

70
800.0 PSIA Isobar

T emp Dens i ty Z Molecular Compos i

i on

F Ib/cu ft mass N204 N02 NO 02

70. 90.5034 .1430 91.967746 .999 .001 . 000 . 000

80. 89.7441 .1415 91 .952590 .999 .001 . 000 . 000

90. 88.9729 .1401 91 .931352 .999 .002 . 000 . 000

100. 88.1862 .1388 91 .907482 .999 .002 . 000 . 000

110. 87.3747 .1376 91 .876606 .998 .003 . 000 . 000

120. 86.5346 .1365 91 .837758 .998 .004 . 000 .000

130. 85.6618 .1355 91 .788723 .998 .005 . 000 . 000

140. 84.7555 .1345 91 .730028 .997 .006 . 000 .000

150. 83.8109 .1337 91.657592 .996 .008 . 000 . 000

160. 82.8249 .1330 91.569202 .995 .010 . 000 .000

170. 81 .7935 .1324 91 .461996 .994 .012 . 000 . 000

180. 80.7110 .1319 91 .332415 .993 .015 . 000 . 000

190. 79.5704 .1315 91 .176642 .991 .018 . 000 .000

200. 78.3622 .1312 90.989544 .989 .022 . 000 . 000

210. 77.0737 .1311 90.765418 .986 .027 . 000 . 000

220. 75.6881 .1311 90.497292 .983 .033 . 000 . 000

230. 74.1825 .1314 90.177093 .980 .040 .000 .000

240. 72.5238 .1319 89.794364 .976 .048 .001 . 000

250. 70.6630 .1328 89.336547 .970 .059 .001 . 000

260. 68.5204 .1342 88.787830 .964 .071 .001 .000

270. 65.9486 .1365 88.127519 .956 .086 .001 .001 274.89 64.4482 .1372 87.756107 .952 .094 .001 .001 274.89 9.2948 .6906 63.689068 .552 .902 .000 . 000

280. 8.6349 .7281 62.381150 .526 .946 .002 .001 290. 7.7670 .7759 60.603146 .483 1 .032 .002 .001 300. 7.1277 .8115 58.939355 .440 1.117 .003 .001 310. 6.6230 .8395 57.401294 .399 1.199 .004 .002

320. 6.2098 .8622 55.994392 .359 1 .278 .004 .002

330. 5.8645 .8809 54.721468 .321 1.353 .005 .003

340. 5.5715 .8965 53.578418 .286 1.423 .006 .003

350. 5.3199 .9096 52.554493 .253 1 .487 .007 .004

360. 5.1018 .9206 51 .640939 .223 1 .545 .009 .005

370. 4.9157 .9299 50.872860 .196 1 .598 .010 .005

380. 4.7507 .9378 50.178973 .172 1 .646 .01.005

390. 4.6056 .9444 49.573271 .150 1.687 .013 .006

400. 4.4769 .9500 49.044904 .131 1 .724 .014 .007

410. 4.3623 .9547 48.584481 .114 1 .755 .016 .008

420. 4.2593 .9587 48.183139 .099 1.783 .018 .009

430. 4.1663 .9620 47.832739 .087 1 .806 .021 .010

440. 4.0816 .9649 47.525991 .075 1 .826 .023 .012

450. 4.0039 .9672 47.256451 .066 1 .843 .026 .013

460. 3.9322 .9693 47.018327 .057 1 .857 .029 .014

470. 3.8655 .9710 46.806671 .050 1 .868 .032 .016

480. 3.8030 .9725 46.617155 .044 1 .877 .035 .018

490. 3.7440 .9738 46.446019 .038 1 .885 .039 .019

500. 3.6879 .9751 46.290122 .034 1 .890 .043 .021

71
900.0 PSIA Isobar

Temp Dens i ty Z Molecular Compos

t i on

F Ib/cu ft mass N204 N02 NO 02

70. 90.5580 .1608 91 .968255 .999 .001 . 000 . 000

80. 89.8016 .1591 91 .953276 .999 .001 . 000 .000

90. 89.0336 .1575 91 .932185 .999 .002 . 000 . 000

100. 88.2505 .1561 91 .908610 .999 .002 .000 .000

110. 87.4430 .1547 91 .878085 .999 .003 . 000 . 000

120. 86.6073 .1534 91 .839667 .998 .004 . 000 . 000

130. 85.7400 .1523 91 .792001 .998 .005 . 000 . 000

140. 84.8383 .1512 91 .733097 .997 .006 . 000 . 000

150. 83.8997 .1503 91 .661509 .996 .008 . 000 .000

160. 82.9205 .1495 91 .574155 .995 .010 . 000 . 000

170. 81 .8967 .1488 91 .468233 .994 .012 . 000 . 000

180. 80.8230 .1482 91 .340243 .993 .015 . 000 . 000

190. 79.6930 .1477 91 .186443 .991 .018 . 000 . 000

200. 78.4972 .1474 91 .001883 .989 .022 . 000 . 000

210. 77.2239 .1472 90.780900 .986 .027 . 000 . 000

220. 75.8572 .1472 90.516721 .984 .033 . 000 .000

230. 74.3757 .1475 90.201514 .980 .040 . 000 . 000

240. 72.7487 .1480 89.825125 .976 .048 . 000 . 000

250. 70.9318 .1489 89.375421 .971 .058 .001 .000

260. 68.8541 .1504 88.837154 .965 .070 .001 . 000

270. 66.3896 . 1527 88.190581 .957 .085 .001 .001 280. 63.2688 .1566 87.409679 .948 .103 .001 .001 282.74 62.2214 .1567 87.167697 .945 .108 .002 .001 282.74 10.7645 .6561 63.132215 .543 .911 .002 .001 290. 9 . 6459 .7169 61 .808940 .512 .973 .002 .001 300. 8.6382 .7678 60.077782 .470 1 .058 .003 .001 310. 7.9127 .8051 58.465552 .428 1 .141 .003 .002

320. 7.3473 .8342 56.982035 .387 1 .222 .004 .002

330. 6 . 8832 .8577 55.587784 .348 1 .298 .006 .003

340. 6.5065 .8770 54.406500 .312 1 .371 .006 .003

350. 6.1806 .8930 53.282140 .277 1 .438 .008 .004

360. 5.9069 .9063 52.323490 .246 1 .501 .008 .004

370. 5.6708 .9176 51 .475127 .217 1.557 .009 .005

380. 5.4644 .9270 50.716649 .191 1 .608 .010 .005

390. 5.2837 .9350 50.050940 .167 1.653 .012 .006

400. 5.1246 .9417 49.468282 .147 1 .693 .014 .007

410. 4.9836 .9474 48.959014 .128 1 .728 .015 .008

420. 4.8576 .9522 48.514107 .112 1 .759 .017 .009

430. 4.7445 .9562 48.125322 .098 1 .785 .020 .010

440. 4 . 6420 .9596 47.784820 .085 1 .807 .022 .011 450. 4.5486 .9625 47.485776 .074 1 .827 .024 .012

460. 4.4629 .9649 47.222078 .065 1 .843 .027 .014

470. 4.3835 .9670 46.988338 .057 1 .856 .030 .015

480. 4.3095 .9689 46.779817 .050 1 .867 .033 .017

490. 4.2399 .9705 46.592523 .044 1 .876 .037 .018

500. 4.1742 .9719 46.422822 .038 1 .883 .041 .020

72
1000.0 PSIA Isobar

T emp Dens i ty Z Mo 1 ecu 1 a r Compos

t i on

F Ib/cu ft mass N204 N02 NO 02

70. 90.6126 .1786 91 .968753 .999 .001 . 000 . 000

80. 89.8590 .1767 91 .953947 .999 .001 . 000 .000

90. 89.0942 .1749 91 .932998 .999 .002 . 000 . 000

100. 88.3146 .1733 91 .90971.999 .002 . 000 . 000

110. 87.5111 .1717 91 .879526 .999 .003 . 000 .000

120. 86.6796 .1703 91 .841522 .998 .004 . 000 . 000

130. 85.8171 .1690 91 .794373 .998 .005 . 000 . 000

140. 84.9205 .1679 91.736067 .997 .006 . 000 .000

150. 83.9878 .1668 91 .665294 .996 .008 . 000 . 000

160. 83.0151 .1659 91.578937 .995 .009 . 000 . 000

170. 81 .9989 .1651 91 .474242 .994 .012 . 000 .000

180. 80.9339 .1644 91 .347760 .993 .015 . 000 . 000

190. 79.8139 .1639 91 .195872 .991 .018 . 000 . 000

200. 78.6303 .1635 91.013677 .989 .022 . 000 . 000

210. 77.3716 .1633 90.795652 .987 .027 . 000 . 000

220. 76.0229 .1633 90.535178 .984 .032 . 000 .000

230. 74.5642 .1635 90.224643 .980 .039 . 000 . 000

240. 72.9672 .1640 89.854170 .976 .047 . 000 . 000

250. 71.1911 .1649 89.412013 .971 .057 .001 . 000

260. 69.1727 .1664 88.883507 .965 .069 .001 . 000

270. 66.8032 .1687 88.249577 .958 .083 .001 . 000

280. 63.8635 .1726 87.485558 .949 .101 .001 .001 289.86 59.8293 .1799 86.571578 .938 .122 .002 .001 289.86 12.4826 .6274 63.005737 .541 .917 .002 .001 290. 12.4392 .6293 62.970103 .540 .918 .002 .001 300. 10.5174 .7137 61 .188865 .497 1 .003 .003 .001 310. 9.4143 .7653 59.505523 .455 1 .087 .003 .002

320. 8.6251 .8030 57.947265 .414 1.168 .004 .002

330. 8.0128 .8324 56.518211 .374 1 .247 .004 .002

340. 7.5176 .8560 55.219703 .336 1 .322 .005 .003

350. 7.1070 .8753 54.050919 .301 1 .392 .006 .003

360. 6.7603 .8913 53.002773 .268 1 .457 .007 .004

370. 6.4645 .9047 52.072091 .237 1 .517 .009 .004

380. 6.2101 .9159 51 .253383 .210 1 .571 .010 .005

390. 5.9886 .9254 50.529179 .185 1 .620 .01

.006

400. 5.7947 .9333 49.893240 .162 1 .663 .013 .006

410. 5.6238 .9400 49.335713 .142 1 .701 .015 .007

420. 5.4720 .9457 48.847947 .125 1 .734 .017 .008

430. 5.3363 .9504 48.420699 . 109 1 .763 .019 .009

440. 5.2142 .9544 48.046390 .095 1 .789 .021 .010

450. 5.1034 .9578 47.717618 .083 1 .810 .023 .012

460. 5.0021 .9607 47.427968 .073 1 .828 .026 .013

470. 4.9089 .9632 47.171690 .064 1 .844 .029 .014

480. 4.8224 .9654 46.943740 .056 1 .856 .032 .016

490. 4.7415 .9673 46.739680 .049 1 .867 .035 .018

500. 4.6653 .9690 46.555661 .043 1 .875 .039 .019

73
2000.0 PSIA Isobar

T emp Dens i ty Z Molecular Compos i t i on

F Ib/cu ft mass N204 N02 NO 02

70. 91 .1575 .3550 91 .973191 1 .000 .001 . 000 . 000

80. 90.4294 .3512 91 .959974 .999 .001 . 000 . 000

90. 89.6956 .3476 91 .942625 .999 .002 . 000 . 000

100. 88.9476 .3441 91 .920524 .999 .002 . 000 . 000

110. 88.1792 .3409 91 .892423 .999 .003 . 000 . 000

120. 87.3871 .3380 91 .858050 .998 .003 . 000 . 000

130. 86.5677 .3352 91 .815360 .998 .004 . 000 . 000

140. 85.7188 .3327 91 .762864 .997 .005 . 000 . 000

150. 84.8382 .3304 91 .698406 .997 .007 . 000 . 000

160. 83.9243 .3283 91 .620549 .996 .009 . 000 . 000

170. 82.9744 .3265 91 .526304 .995 .011 . 000 . 000

180. 81 .9852 .3249 91 .412776 .993 .013 . 000 . 000

190. 80.9525 .3235 91 .276303 .992 .016 . 000 . 000

200. 79.8713 .3223 91 . 113633 .990 .020 . 000 . 000

210. 78.7345 .3214 90.919719 .988 .024 . 000 . 000

220. 77.5331 .3207 90.689124 .985 .029 . 000 . 000

230. 76.2556 .3204 90.415408 .982 .035 . 000 . 000

240. 74.8875 .3205 90.091316 .979 .042 . 000 . 000

250. 73.4095 .3209 89.707591 .974 .051 . 000 . 000

260. 71 .7955 .3219 89.253129 .969 .061 . 000 . 000

270. 70.0096 .3237 88.714401 .963 .073 . 000 . 000

280. 67.9995 .3264 88.074838 .956 .088 .001 . 000

290. 65.6824 .3305 87.312471 .947 .106 .001 . 000

300. 62.9162 .3369 86.399495 .936 .128 .001 .001 310. 59.4177 .3476 85.297472 .922 .155 .001 .001 320. 54.5187 .3681 83.951998 .905 .189 .002 .001 330. 46.6894 .4159 82.280022 .883 .232 .002 .001 340. 35.8238 .5214 80.139592 .853 .291 .003 .001 350. 28.3445 .6271 77.225142 .810 .376 .004 .002

360. 19.8177 . 6968 60.730517 .487 1 .021 .005 .002

370. 17.6468 .7469 58.674400 .435 1.125 .006 .003

380. 16.1202 .7854 57.039570 .390 1 .213 .007 .003

390. 14.9578 .8160 55.644532 .350 1 .292 .008 .004

400. 14.0331 .8409 54.429188 .314 1 .363 .009 .004

410. 13.2766 .8614 53.363220 .281 1 .428 .010 .005

420. 12.6443 .8784 52.422459 .251 1 .487 .012 .006

430. 12.1087 .8926 51 .596569 .223 1 .540 .013 .007

440. 1 1 .6484 .9046 50.866998 .198 1 .588 .015 .007

450. 1 1 .2484 .9148 50.222981 . 176 1 .631 .017 .008

460. 10.8977 .9234 49.654478 .156 1 .669 .019 .009

470. 10.5872 .9307 49.152378 .138 1 .702 .021 .010

480. 10.3099 .9370 48.708342 .122 1 .732 .023 .012

490. 10.0602 .9425 48.315039 .108 1 .758 .026 .013

500. 9.8333 .9473 47.965896 .096 1 .780 .028 .014

74
3000.0 PSIA Isobar

T emp Dens i ty Z Molecular Compos ii on

F 1 b/c u f t mass N204 N02 NO 02

70. 91 .7040 .5294 91 .976815 1 .000 .001 . 000 . 000

80. 90.9966 .5235 91 .964982 .999 .001 . 000 . 000

90. 90.2874 .5180 91 .949244 .999 .001 . 000 . 000

100. 89.5672 .5127 91 .929076 .999 .002 . 000 . 000

110. 88.8293 .5077 91 .903199 .999 .002 . 000 . 000

120. 88.0710 .5031 91 .871892 .998 .003 . 000 . 000

130. 87.2883 .4988 91 .832882 .998 .004 . 000 . 000

140. 86.4796 .4948 91 .784893 .997 .005 . 000 .000

150. 85.6428 .4911 91 .725826 .997 .006 . 000 . 000

160. 84.7776 .4877 91 . 654805 .996 .008 . 000 . 000

170. 83.8819 .4847 91.568878 .995 .010 . 000 .000

180. 82.9536 .4819 91 .465535 .994 .012 . 000 . 000

190. 81 .9901 .4794 91.341774 .993 .015 . 000 . 000

200. 80.9874 .4772 91 .193676 .991 .018 . 000 . 000

210. 79.9420 .4753 91 .018269 .989 .022 . 000 . 000

220. 78.8476 .4737 90.810344 .987 .026 . 000 . 000

230. 77.6969 .4725 90.564408 .984 .032 . 000 . 000

240. 76.4807 .4716 90.273850 .981 .038 . 000 . 000

250. 75.1885 .4712 89.932102 .977 .046 . 000 . 000

260. 73.8062 .4712 89.529826 .972 .055 . 000 . 000

270. 72.3159 .4718 89.056365 .967 .066 . 000 .000

280. 70.6951 .4731 88.498856 .960 .079 . 000 . 000

290. 68.9147 .4753 87.842358 .953 .094 .001 . 000

300. 66.9342 .4787 87.066821 .944 . 112 .001 . 000

310. 64.6979 .4836 86. 148092 .932 .134 .001 . 000

320. 62.1239 .4909 85.054345 .919 .161 .001 .001 330. 59.0885 .5017 83.742824 .902 .195 .001 .001 340. 55.4137 .5183 82.158978 .881 .236 .002 .001 350. 50.9061 .5441 80.218080 .854 .290 .002 .001 360. 45.6396 .5814 77.797671 .819 .360 .003 .001 370. 40.1455 .6269 74.696169 .770 .456 . 004 .002

380. 34.8417 .6744 70.570157 .698 .599 .005 .002

390. 29.8967 .7188 65.31 1347 .594 .806 .006 .003

400. 26.2821 .7579 61 .251683 .501 .991 .007 .003

410. 23.8701 .7913 58.758753 .438 1.116 .008 .004

420. 22.0771 .8195 56.931768 .388 1 .214 .009 .005

430. 20.6645 .8434 55.461051 .346 1 .297 .010 .005

440. 19.5143 .8635 54.226728 .309 1 .370 .012 .006

450. 18.5566 .8805 53.168625 .276 1 .435 .013 .007

460. 17.7446 .8950 52.247931 .246 1 .492 .015 .008

470. 17.0496 .9074 51 .450033 .220 1 .543 .017 .008

480. 16.4448 .9181 50.746633 . 196 1 .589 .019 .009

490. 15.9139 .9273 50.127157 .175 1 .630 .021 .010

500. 15.4431 .9352 49.580047 . 156 1 .666 .023 .012

75
4000.0 PSIA Isobar

T emp Dens i ty Z Molecular Compos i t i on

F 1 b/cu ft mass N204 N02 NO 02

70. 92.2599 .7016 91 .981202 1 .000 . 001 . 000 . 000

80. 91 .5663 .6937 91 .969191 .999 . 001 . 000 . 000

90. 90.8767 .6862 91 .954869 .999 .001 . 000 . 000

100. 90.1796 .6790 91 .936376 .999 .002 . 000 . 000

110. 89.4681 .6722 91 .913052 .999 .002 . 000 . 000

120. 88.7378 .6658 91 .883700 .999 .003 . 000 . 000

130. 87.9864 .6599 91 .847855 .998 .004 . 000 . 000

140. 87.2117 .6543 91 .803701 .998 .005 . 000 . 000

150. 86.4126 .6492 91.749784 .997 .006 . 000 . 000

160. 85.5878 .6444 91.683962 .996 .007 . 000 . 000

170. 84.7372 . 6400 91 .605004 .996 .009 . 000 . 000

180. 83.8589 .6359 91 .510120 .994 .011 . 000 . 000

190. 82.9514 .6322 91 .396643 .993 .014 . 000 .000

200. 82.0117 .6288 91 .260791 .992 .016 . 000 . 000

210. 81 .0380 .6257 91 . 100481 .990 .020 . 000 . 000

220. 80.0257 .6230 90.910820 .988 .024 . 000 . 000

230. 78.9699 .6207 90.687147 .985 .029 . 000 . 000

240. 77.8638 .6187 90.423037 .982 .035 . 000 . 000

250. 76.7018 .6171 90.114238 .979 .042 . 000 . 000

260. 75.4741 .6159 89.752103 .975 .050 . 000 . 000

270. 74.1702 .6152 89.328071 .970 .060 . 000 .000

280. 99.2674 .4510 88.831734 .964 .071 . 000 . 000

290. 71 .2790 .6156 88.250582 .958 .085 . 000 . 000

300. 69.6582 .6168 87.571099 .950 .100 .001 . 000

310. 67.8902 .6190 86.774437 .940 . 119 .001 . 000

320. 65.9457 .6223 85.838471 .928 .142 .001 . 000

330. 63.7893 .6270 84.737558 .915 .170 .001 .001 340. 94.3676 .4121 83.437036 .898 .203 .001 .001 350. 58.6459 .6429 81 .894578 .877 .244 .002 .001 360. 55.5438 .6555 80.057915 .852 .294 .002 .001 370. 52.0251 .6724 77.864936 .820 .358 .003 .001 380. 48.11 39 .6943 75.252572 .779 .439 .003 .002

390. 43.9609 .7204 72.194108 .728 .541 .004 .002

400. 39.8421 .7487 68.799752 .665 .665 .005 .003

410. 36.0923 .7770 65.426428 .597 .800 .006 .003

420. 32.9455 .8037 62.484567 .531 .931 .007 .004

430. 30.4017 .8281 60.090191 .473 1 .046 .009 .004

440. 28.3398 .8501 58.146730 .422 1.145 .010 .005

450. 26.6423 .8696 56.537952 .378 1 .233 .01 1 .006

460. 25.2227 .8867 55.180264 .339 1 .310 .013 .006

470. 24.0190 .9017 54.017009 .304 1 .379 .014 .007

480. 22.9862 .9148 53.009948 .272 1 .440 .016 .008

490. 22.0909 .9263 52.131800 .244 1 .495 .018 .009

500. 21 .3070 .9363 51 .361306 .218 1 .544 .020 .010

76
5000.0 PSIA Isobar

T emp Dens i ty Z Molecular Compos i

i on

F Ib/cu ft mass N204 N02 NO 02

70. 92.8313 .8716 91 .984055 1 .000 .001 . 000 . 000

80. 92. 1454 .8617 91 .972757 1 .000 .001 . 000 . 000

90. 91 .4699 .8522 91 .959695 .999 .001 . 000 . 000

100. 90.7907 .8431 91 .942676 .999 .002 . 000 . 000

110. 90.1004 .8344 91 .921134 .999 .002 . 000 . 000

120. 89.3937 .8263 91 .893881 .999 .003 . 000 . 000

130. 88.6686 .8186 91 .860807 .998 .003 . 000 . 000

140. 87.9227 .8114 91 .819978 .998 .004 . 000 . 000

150. 87.1550 .8047 91 .770102 .997 .005 . 000 . 000

160. 86.3646 .7984 91.709134 .997 .007 .000 . 000

170. 85.5518 .7926 91 .636177 .996 .008 . 000 . 000

180. 84.7152 .7872 91 .548506 .995 .010 . 000 . 000

190. 83.8540 .7821 91 .443745 .994 .012 . 000 . 000

200. 82.9665 .7774 91 .319096 .992 .015 . 000 . 000

210. 82.0500 .7731 91 .170635 .991 .018 . 000 . 000

220. 81 .1031 .7692 90.996225 .989 .022 . 000 . 000

230. 80.1215 .7656 90.790924 .987 .027 . 000 . 000

240. 79. 1008 .7623 90.549832 .984 .032 . 000 . 000

250. 78.0350 .7595 90.266476 .981 .039 . 000 . 000

260. 76.9199 .7570 89.936700 .977 .046 . 000 . 000

270. 75.7469 .7549 89.551867 .973 .055 . 000 . 000

280. 74.5076 .7533 89.103252 .967 .065 . 000 . 000

290. 73.1910 .7522 88.579851 .961 .077 . 000 . 000

300. 71 .7875 .7516 87.972295 .954 .091 . 000 . 000

310. 70.2822 .7516 87.265151 .946 .108 .001 . 000

320. 68.6589 .7524 86.441519 .936 .128 .001 . 000

330. 66.8985 .7539 85.481107 .924 .151 .001 . 000

340. 64.9808 .7564 84.362354 .910 .179 .001 .001 350. 62.8804 .7601 83.056103 .893 .213 .001 .001 360. 60.5704 .7651 81 .530183 .872 .254 .002 .001 370. 90.6656 .4940 79.749696 .847 .303 .002 .001 380. 55.2264 .7805 77.682334 .817 .364 .003 .001 390. 52.1768 .7915 75.309697 .780 .437 .003 .002

400. 48.9248 .8049 72.655565 .736 .525 .004 .002

410. 45.5863 .8205 69.816249 .684 .626 .005 .002

420. 42.3382 .8378 66.970209 .629 .736 .006 .003

430. 39.3518 .8559 64.309987 .573 .848 .007 .003

440. 36.7196 .8737 61 .950081 .519 .954 .008 .004

450. 34.4498 .8908 59.910602 .469 1 .053 .009 .005

460. 32.5047 .9065 58.159485 .423 1.143 .01 1 .005

470. 30.8348 .9208 56.652067 .382 1 .224 .012 .006

480. 29.3932 .9337 55.346866 .344 1 .298 .014 .007

490. 28.1402 .9452 54.210011 .310 1 .364 .015 .008

500. 27.0434 .9554 53.214484 .279 1 .424 .017 .009

77
Appendix C.

78
Table Cl. Computer Program Listings

PROGRAM MAIN ( I NPUT , OUTPUT

)

REAL KP1 , KP2

DIMENSION Y(4) ,A(4) ,PP(23)

COMMON/SOLVE/KP1 ,KP2,Y,WMA > A COMMON/COMPRP1/NC1 . ND1 ,PC1 (5) ,TC1 (5) ,W1 (5) ,OMK1 (10)

COMMON/T EMP/Y I D ( 4

)

DATA(PP=1 .01325.2. ,4. ,6. .8. . 10. . 15. ,20. ,30. ,40. .50. .60. .80. , 100.

1 . 1 20 . . 1 40 . , 1 60 . . 1 80 . . 200 .

, 250 ., 300 . , 350 . , 400 .

)

CALL DATA04

DO 20 1=1 .23.22

R=. 0831 434

I ND=0

DCAL=1 6

P=PP(I)

POUT=P/10.

PRINT 103, POUT

103 FORMAT ( * * , F5 . 1 , * MPA ISOBAR*)

IF(P.GT. 100. )GO TO 2 TS=FINDTV(P)

2 CONTINUE

1 F(P . GT . 1 00)TS=600

DO 20 J=295 . 550 ,

T=J

I F(TS . GT . 500)GO TO 10

1 F ( T . GT . TS . AND . I ND . EQ . 0 ) GO TO 5 GO TO 10 5 IND=1

D=DCAL

L=5

P=P+ . 001

DCAL=F I ND D(P,TS.D)

P=PP(I)

Z=P/(R*DCAL*T)

PM=P/10

CALL MIXTURE(TS ,PM, L)

DD=DCAL*WMA

IF(Y(3).LT.0)Y(3)=. 00001

I F(Y(4) . LT ,0)Y(4)=. 00001

PRINT 101 . TS , DCAL , DD , Z , WMA . Y( 1 ) ,Y(2) ,Y(3) ,Y(4)

D=SATV(TS)

D=D- . 02*D

DCAL=FIND D(P , TS , D)

Z=P/(R*DCAL*T)

L=3

PM=P/10.

CALL MIXTURE(TS ,PM, L)

DD=DCAL*WMA

I F( Y(3) . LT.0)Y(3)=. 00001

I F(Y(4) . LT.0)Y(<)=. 00001

PRINT 101 . TS, DCAL. DD.Z. WMA, Y( 1 ) ,Y(2),Y(3),Y(4)

10 DCAL=FIND D(P . T , D)

Z=P/(R*DCAL*T)

L=5

I F(T . GT . TS . AND . I ND . EQ . 1 ) L=1 PMMP/10.

79
CALL MIXTURE(T,PM, L)

DD=DCAL*WMA

IF(Y(3) . LT. 0.0) Y(3)=. 00001

1 F(Y( 4) . LT.0.0)Y(4)=. 00001

PRINT 100,T,DCAL,DD,Z,WMA,Y(1 ) ,Y(2) ,Y(3) ,Y(4)

1 00 FORMAT ( F6 . 0 , 2X , FI 0 . 4 . FI 2 . 4 , F8 . 4 , FI 2 . 6 , 4F6 . 3)

101 FORMAT (F8.2,F10.4,F12.4,F8.4,F12.6,4F6.3)

20 CONTINUE

22 CONTINUE

STOP

END PROGRAM MAIN ( INPUT .OUTPUT)

REAL KP1 , KP2

DIMENSION Y(4) ,A(4) ,PP(23)

COMMON/SO LVE/KP1 ,KP2, Y.WMA.A

COMMON/COMPRP 1 /NC 1 ,ND1 .PCI (5) .TCI (5) ,W1 (5) .OMK1 (10)

COMMON/T EMP/Y I D ( 4

)

DATA(PP=1 4. 696,20. . 30 . . 40 .

. 50 . . 60 . , 80 . . 1 00 . . 1 50 . . 200 ., 250 . . 300 .

1400., 500 . , 600 ., 700 ., 800 .

, 900 .

, 1 000 . , 2000 .

, 3000 . , 4000 . , 5000 .

)

CALL DATA04

DO 20 1=1,23

R=. 0831434

IND=0

DCAL=1 6

P=PP(I)*1 .01325/14.696

POUT=PP( I

)

PRINT 103, POUT

103 FORMAT ( * * , F5 . 1

, * PSIA ISOBAR*)

IF(P.GT. 100. )GO TO 2 TS=FINDTV(P)

2 CONTINUE

I F(P . GT . 1 00)TS=600

DO 20 J=70 , 500 , 1

TF=J

T=(TF-32.)/1 .8+273.15

IF(TS.GT.500)GO TO 10

I F(T . GT . TS . AND . IND . EQ . 0)GO TO 5 GO TO 10

5 IND=1

D=DCAL

L=5

P=P+.001

DCAL=FIND D(P , TS , D)

p=pp(I)*1 .01325/14.696

Z=P/(R*DCAL*T)

PM=P/1 0

CALL MIXTURE(TS,PM, L) DD=DCAL*WMA/1 6.018

I F(Y(3) . LT.0)Y(3)=. 00001

I F(Y(4) . LT.0)Y(4)=. 00001

TO=(TS-273 . 1 5) * 1 .8+32.

PRINT 101 , TO , DD , Z , WMA ,Y(1 ) ,Y(2) ,Y(3) ,Y(4)

D=SATV(TS)

D=D- . 02*D

DCAL=FIND D(P.TS.D)

80
o

o

o

Z=P/(R*DCAL*T)

L=3

PM=P/ 1 0

CALL MIXTURE(TS,PM, L)

DD=DCAL»WMA/ 16.018

I F( Y( 3) . LT.0)Y(3)=. 00001

I F( Y(4) . LT.0)Y(4)=. 00001

PRINT 101 , TO , DD , Z , WMA , Y ( 1 ) , Y ( 2 ) ,Y(3) ,Y(4)

10 DCAL=FIND D(P.T,D)

Z=P/(R*DCAL*T)

L=5

1 F(T . GT . TS . AND . IND . EO. 1 ) L=1 PM=P/1 0

CALL MIXTURE(T ,PM, L)

DD=DCAL*WMA/1 6.018

I F(Y(3) . LT.0.0)Y(3)=. 00001

I F(Y(4) .LT.0. 0)Y(4)=. 00001

TO=(T—273 . 1 5) * 1 .8+32.

PRINT 1 00 . TO , DD , Z , WMA , Y ( 1 ) , Y ( 2 ) ,Y(3) ,Y(4)

1 00 FORMAT ( F6 . 0 . 2X . FI 0 . 4 , F8 . 4 , FI 2 . 6 . 4F7 . 3)

101 FORMAT ( F8 . 2 . FI 0 . 4 . F8 . 4 , FI 2 . 6 , 4F7 . 3)

20 CONTINUE

22 CONTINUE

STOP

END SUBROUTINE MIXTURE (T,P,L)

COMMON /PHASED/ FOXP(5,2)

COMMON/COMPRP 1 /NC 1 ,ND1 ,PC1(5) ,TC1 (5) ,W1 (5) ,OMK1 (10)

COMMON/COMPRP2/NC2 , ND2 , PC2(5) , TC2 (5) ,W2(5) ,OMK2(10)

COMMON/T EMP/Y I D ( 4

)

REAL IDKP1 . IDKP2.KP1 ,KP2

INTEGER Q

DIMENSION Y ( 4 ) ,A(4) ,FU(5) , Z 1 (2) , XI (5 , 2) , FUXP(5 . 2) , Z2(2) , X2(5 . 2)

COMMON/SO LVE/KP1 , KP2 , Y , WMA ,

COMMON /IDGAS/ I CALL, IDKP1 , IDKP2

108 FORMAT (515)

109 FORMAT (4F20.10)

0=2

I F( L . EQ . 5 .OR. L.EQ.7) 0=1

INITIALIZING KPRS-ROUTINE

DO 10 1=1 ,5 PCI ( I )=1 . TCI (I)=1 . W1 ( I )=1

OMK 1 ( I ) = 1

0MK1 (1+5) = 1

XI (I , 1 )=1

XI (I ,2)=1

PC2( I )=1

TC2( I )=1

W2( I )=1

0MK2( I )=1

81
ooo

ooo

ooo

oo

OMK2(I+5)=1

X2( I ,1 )=1

X2 ( I , 2 )=1

10 CONTINUE

Z1(1)=1.

Z1(2)=1.

NCI =2

ND1 =1 Z2( 1 )=1

Z2(2)=1

NC2=3

ND2=1

ZAEHLER =1

C PROPERTIES N02

TC2(1)=239. 303631

PC2( 1 ) = 1 0 . 325

W2(1 )=0. 0141345

TCI (2)=239. 303631

PCI (2) = 1 0 . 1 325

W1 (2)=0. 0141345

C PROPER I TES N204

TCI (1 )=547.4567

PCI (1 )=22.0951

W1 (1 )=0. 0141345

C PROPERTIES NO

TC2(2)=180. 15 PC2(2)=6 . 4848

W2(2)= 0.0313

C PROPERTIES 02

TC2(3)=1 54 . 75

PC2(3)=5 . 0764

W2(3)=0 . 0998

LAP 1=0

LAP2=0

CALL KPRS1 (P,Z1 , T , XI , LAP1

)

CALL KPRS2(P , Z2 , T , X2 , LAP2)

CALCULATING IDEAL GAS EQUILIBRIUM

ICALL = 0 CALL IDGAS(T.P)

SOLVING FOR COMPOSITION

KP1=IDKP1

KP2=IDKP2

CALL SOLVE(P)

DO 70 1=1 ,4

70 YID(I)=Y(I)

STORING COMPOSITION

82
ooo

ooooooooo

ooo

50 DO 20 1=1 .4 20 A( I )=Y ( I

)

CALCULATING FUGACITY C0EFIC1ENTS

LAP 1=2

LAP2=2

XI ( 1 . 1 )=A( 1

)

XI (2.)=A(2)

X2( 1 , 1 )=A(2)

X2(2 ,)=A(3)

X2 (

. 1 )=A(4)

XI (

. 2)=A( 1

)

XI (2,2)=A(2)

X2( 1 , 2)=A(2)

X2(2,2)=A(3)

X2(3 , 2)=A(4)

CALL KPRS 1(P,Z1,T,X1, LAP 1

)

FU( 1 )=FOXP( 1 , Q)

FU(2)=FOXP(2,Q)

CALL KPRS2 (P , Z2 , T , X2 , LAP2)

FU(3)=FOXP(2 ,0)

FU(4)=FOXP(3 ,Q)

FU(2)= (FU(2) + F0XP( 1 , 0) )/2

CHANGING KP

530 KP1=IDKP1 *FU( 1 )/FU(2)/FU(2)

KP2=I DKP2* FU( 2 )/FU(3)/FU(4)**0.5

SOLVING FOR COMPOSITION

CALL SOLVE(P)

TEST FOR CONVERGENCE

Q1=A(1 )+A(2)+A(3)+A(4)

Q2=Y(1 )+Y(2)+Y(3)+Y(4)

1 F(ZAEHLER .GT. 25.) GOTO 55

ZAEHLER =ZAEHLER +1 240 IF(ABS(Q1-Q2) .GT.1E-5) GOTO 50

END OF CALCULATIONS

57 WMA=9 2 . 0 1 6/ ( Y ( 1 ) +Y ( 2 ) +Y ( 3 ) + Y(4))

RETURN

55 WRITE 56

56 FORMAT (20H NO CONVERGENCE ) GOTO 57 END SUBROUTINE KPRS1 (P , Z , T , X , LAP)

DOUBLE PRECISION AZ , ZR COMMON /C0MPRP1/ NC , ND , PC(5), TC(5) . W(5) , OMK(10)

83
o

o

oo

o

o

o

c COMMON /PHASED/ FOXP(5,2)

DIMENSION Z ( 2 ) , X(5,2), A(5) . B(5)

DIMENSION ASUM(5) , AL(3) , ZR(3) , AZ(3)

C DATA AOMEGA, BOMEGA, AL, CONI, CON2 , CON3 /0 . 457235530

* 0.077796074, 0.37464, 1.54226,-0.26992, 2.414213562,

* 0.414213562, 2.828427124 /

C

IF (LAP.GT. 1) GO TO 040

C SET UP THE METHOD

DO 020 I = 1 , NO

PR = P / PC(I)

TR = T / TC( I

)

ALPHA = 1 ,0+(AL(1)+W(I)*(AL(2)+W(I)*AL(3)))*(1 .0-SQRT(TR))

A ( I ) = ALPHA * SORT (AOMEGA*PR) / TR

B( I ) = BOMEGA * PR / TR 020 CONTINUE

RETURN

GIVEN COMPOSITIONS OF LIQUID AND VAPOR,

CALCULATE THE FUGACITIES

040 DO 120 K = 1 , 2 AMX =0.0

BMX =0.0

CALCULATE MIXTURE EOS PARAMETERS

DO 080 I = 1 , NC BMX = BMX + X(I ,K) * B ( I

)

ASUM(I) =0.0

DO 060 J = 1 , NC

L = J + I * (1-1) / 2 IF (J .GT. I) L = 1 + J * (J-1 ) / 2 ASUM(I) = ASUM(I) + X( J , K) * A(J) * OMK ( L

)

060 CONTINUE

ASUM(I) = ASUM(I) * A(I) AMX = AMX + X( I , K) * ASUM(I)

080 CONTINUE

SET UP AND SOLVE THE CUBIC EQUATION

AZ( 1 ) = (-AMX+BMX+BMX*BMX) *BMX

AZ(2) = AMX-BMX *(3.0* BMX+2 . 0

)

AZ(3) = BMX— 1 .0 CALL CUBIC(AZ.ZR)

Z(K) = ZR(K)

CALCULATE FUGACITIES

TMP1 = (Z(K)-1 .0) / BMX TMP2 = -A LOG ( Z ( K

) -BMX

)

TMP3 = -AMX * ALOG( (Z(K)+CON1 *BMX)/(Z(K)—CON2*BMX) ) / (CON3*BMX)

DO 1 00 I = 1 , NC

FOPT = B(I) * TMP1 + TMP2 + TMP3 * (2 . 0*ASUM( I )/AMX-B( I )/BMX)

FOXP( I , K) = EXP ( FOPT

)

100 CONTINUE

120 CONTINUE

RETURN

END

84
c

c

cc

c

SUBROUTINE IDGAS(TT.PP)

REAL 1DKP1 , 1DKP2

DIMENSION CP( 4 , 8) , DCP (2,8) P FH(8) ,FS(8) ,RIH(2) , R I S ( 2

)

COMMON /IDGAS/ ICALL, IDKP1 , IDKP2

IF (ICALL. GT.0) GOTO 100

INITIAL] ZNG FOR N204

CP(1 . 1 ) =

CP(1 ,2) =

CP(1 ,3) =

CP(1 ,4) =

CP(1 ,5) =

CP(1 ,6) =

CP(1 ,7) =

CP(1 .8) = CP(2 , 1 ) =

CP(2,2) =

CP(2 ,3) = CP(2,4) = CP(2 , 5) = CP(2 , 6) =

CP( 2 , 7) =

CP( 2 , 8) = CP(3.1) = CP(3,2) = CP(3 , 3) =

CP(3 , 4) =

CP ( 3 , 5 ) = CP(3 , 6) = CP(3,7) =

CP(3 , 8) = CP(4,1) = CP(4 , 2) = CP(4 , 3) = CP(4 , 4) = CP(4,5) = CP(4,6) = CP(4 , 7) = CP(4 , 8) = R=8 .3143

- . 29 2058399 9 52 499 E+08

. 6760829901 32626E+06

-.562268571 157538E+04

.24388332331 1585E+02

-. 1038702871 49760E-01

. 395354930826292E-05

-.562685069621 981 E-09

.38981 471 8384088E+01

-. 174393213164685E+08

.371980567728961 E+06

-. 266349925287916E+04

. 1 1468970730901 3E+02

-. 614052627994732E-02

. 238635693500449 E—05

- . 34337 1825173331 E-09

.245907250940361 E+01

—.3643275372631 86E+07

. 74493557486071 7E+05

- . 4 64 3 2 09 85759 27 6 E+03

.488453294196981 E+01

-. 1 68691 304426562E-02

. 682071 82 52 39 896 E-06

-. 993835608938831 E-10

. 1 41 70522 6300675 E+01 - . 8545399 469 3849 7 E+07

. 1784161 0031 9 674 E+06

-. 12568714121 1 197E+04

. 7 1 8 659032846500 E+01 - . 43002401 3535563E-02

. 17656323799001 4E-05

- . 2 502 5492 63289 74 E-09

. 1 78302890826438E+01

WMN204=92 .016

HF01=9079 . 28 $ HF02=33095.4 $ HF03=90290.7 $ HF04=0.

S01=304 . 277 $ S02=239 . 923 $ S03=21 0.652 $ S04=205.033

C9=3000

T0=298 . 1

DO 10 1=1 ,8

DCP( 1

, I)=2.*CP(2, I )—CP ( 1 ,1)

10 DCP(2 , I )= CP (3, I)+0.5*CP(4, I)- CP( 2 , I

)

DH01=2 . *HF02-HF01

DH02= HF03+0 . 5*HF04- HF02

DS01=2 . »S02-S01

85
DS02= S03+0 . 5+S04- S02

T=T0

U=C9/T

FH(1)—1./2./T/T

FH(2)=— 1 ,/T

FH(3)=AL0G(T)

FH(4)=T

FH(5)=T*T/2.

FH(6)=T*T*T/3

FH ( 7

) =T * T * T * T/4

G=EXP(U)-1

FH(8)=C9/G

FS( 1 )=— 1 ./3./T/T/T

FS(2)=FH( 1

)

FS(3)=FH(2)

FS(4)=FH(3)

FS(5)=FH(4)

FS(6)=FH(5)

FS(7)=FH(6)

FS(8)=FH(8)/T-AL0G(G)+U

DO 20 1=1 ,2 RIH( I )=0

RIS( I )=0

DO 15 J=1 ,8 R I H ( I

) =R I H ( I

) +DCP (I ,J)*FH(J)

15 R I S ( I

) =R I S ( I )+DCP( I , J

) *FS( J

)

20 CONTINUE

DH01=DH01-R*RIH( 1

)

DH02=DH02-R*RIH(2)

DS01=DS01-R*RIS( 1 DS02=DS02-R*RIS(2)

ICALL=1

C

C

C CALCULATING IDEAL GAS EQUILIBRIUM CONSTANT

C

c

100 CONTINUE

T=TT

P=PP*9. 86923

U=C9/T

FH( 1 )=— 1 -/2./T/T

FH(2)=-1 ./T

FH(3)=ALOG(T)

FH(4)=T

FH(5)=T*T/2

FH(6)=T *T *T/3

FH(7)=T*T*T*T/4.

G=EXP (U)-1

FH(8)=C9/G

FS ( 1 )=— 1 ./3./T/T/T

FS(2)=FH( 1

)

FS(3)=FH(2)

FS(4)=FH(3)

86
FS(5)=FH(4)

FS(6)=FH(5)

FS(7)=FH(6)

FS(8)=FH(8)/T-ALOG(G)+U

DO 30 1=1 ,2 R I H ( I )=0.

RIS( I )=0

DO 25 J=1 ,8 R I H ( I ) =R I H ( I ) +DCP (I ,J)*FH(J)

25 R I S( I )=R1 S( I )+DCP( I , J

)

*FS( J

)

30 CONTINUE

DH1=DH01+R*RIH( 1

)

DH2=DH02+R*RIH(2)

DS1=DS01 +R*R I S( 1

)

DS2=DS02+R*RIS(2)

DG1=DH1-T*DS1

DG2=DH2-T*DS2

I DKP1 =EXP(-DG1/R/T

)

I DKP2=EXP(-DG2/R/T

RETURN

END SUBROUTINE SOLVE(POR)

REAL KP1 , KP2 ,KPOR,N

DIMENSION Y(4)

COMMON/SO LVE/KP1 ,KPOR,Y,WMA

AL=0 .

BE=0 . 01 ZAHL=1

P=POR/0. 101325

KP2=KPOR*KPOR

20 AL2=AL*AL

AL3=AL*AL* AL ZAHL=ZAHL+1

BE2=BE*BE

BE3=BE*BE»BE

F1=4*AL2*P»BE2 + AL2*KP1*BE - AL*KP1 *BE - 8*AL2*P*BE

F 1 =F 1 + AL2*KP1 - KP1 + 4*AL2*P

F1 1 = 8*AL*P*BE2 + 2*AL*KP1*BE - KPUBE - 16*AL*P*BE

FI 1=F1 1 + 2*AL*KP1 + 8*AL*P

FI 2= 8* AL2*P*BE + AL2*KP1 - AL*KP1 - 8*AL2*P

F2= AL*KP2*BE3 - AL*P*BE3 - AL*KP2*BE2 - KP2*BE2

F2=F2 - AL*KP2*BE - 2*KP2*BE +AL*KP2 +KP2

F21 = KP2*BE3 - P*BE3 - KP2*BE2 - KP2*BE + KP2

F22= 3*AL*KP2*BE2 - 3*AL*P*BE2 - 2*AL*KP2*BE + 2*KP2*BE

F22 = F22 - AL*KP2 - 2*KP2

IF (ABS(F1 ) . LE. IE-5 .AND. ABS(F2) . LE . 1 E-5) GOTO 100 DET = F1 1 * F22 - F12*F21

I F(ZAHL . GE . 25) GOTO 110

D1= ( FI 2* F2 - F22*F1 ) / DET

D2 = (F21 *F1 - FI 1 * F2 ) / DET

AL = AL + D1 BE = BE + D2

GOTO 20

110 WRITE 200

87
o

o

o

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200 FORMAT (30H NO CONVERGENCE IN SOLVE

N= 1 + A L + AL*BE

IF (N.GT. 1

. ) N=1

GOTO 115

100 N=1+AL+AL*BE

115 WMA=92 . 01 6/N

Y ( 1 ) = 1 —A L Y(2)=2*AL - 2*AL*BE

Y(3)=2*AL*BE

Y(4)=AL*BE

RETURN

END SUBROUTINE KPRS2 (P , Z , T , X , LAP)

DOUBLE PRECISION AZ . ZR COMMON /COMPRP2/ NC , ND . PC(5) , TC(5), W(5) , OMK(10)

C

COMMON /PHASED/ FOXP(5,2)

C

DIMENSION Z(2), X(5,2), A(5) , B(5)

DIMENSION ASUM(20) , AL(3) , ZR(3) , AZ(3)

C

DATA AOMEGA, BOMEGA. AL, CONI, CON2 . CON3 /0 . 457235530

* 0.077796074, 0.37464, 1.54226,-0.26992, 2.414213562,

* 0.414213562, 2.828427124 /

C

IF (LAP.GT.1) GO TO 040

C SET UP THE METHOD

DO 020 I = 1 . NC PR = P / PC(I)

TR = T / TC( I

)

ALPHA = 1 0+(AL(l)+W(I)*(AL(2)+W(I)*AL(3)))*(1 .0-SQRT(TR))

A(I) = ALPHA * SORT (AOMEGA* PR) / TR

B( I ) = BOMEGA * PR / TR 020 CONTINUE

RETURN

GIVEN COMPOSITIONS OF LIQUID AND VAPOR.

CALCULATE THE FUGAC1TIES

040 DO 120 K = 1 , 2 AMX = 0.0

BMX = 0.0

CALCULATE MIXTURE EOS PARAMETERS

DO 080 I = 1 , NC BMX = BMX + X(I ,K) B ( I

)

ASUM(I) =0.0

DO 060 J = 1 , NC

L = J + I * (1-1) / 2 IF (J.GT. I) L = I + J * (J-1) / 2 ASUM(I) = ASUM(I) + X(J,K) * A(J) * OMK(L)

060 CONTINUE

ASUM(I) = ASUM(I) * A(I) AMX = AMX + X(I ,K) * ASUM(I)

080 CONTINUE

SET UP AND SOLVE THE CUBIC EQUATION

88
ooo

ooo

oo

ooo

oo

AZ( 1 ) = (-AMX+BMX+BMX*8MX) *BMX

AZ(2) = AMX-BMX *(3.0* BMX+2 . 0

)

AZ(3) = BMX-1 .0 CALL CUBIC(AZ.ZR)

Z(K) = ZR(K)

CALCULATE FUGACITIES

TMP1 = ( Z ( K

) — 1 .0) / BMX

TMP2 = —ALOG(Z(K)-BMX)

TMP3 = -AMX * ALOG( (Z(K)+C0N1 *BMX)/(Z(K)-C0N2*BMX) ) / (C0N3*BMX)

DO 1 00 I = 1 . NC

FOPT = B(I) * TMP1 + TMP2 + TMP3 * (2 . 0*ASUM( I )/AMX-B( I )/BMX)

FOXP(I.K) = EXP (FOPT

)

100 CONTINUE

120 CONTINUE

RETURN

END SUBROUTINE CUBIC(A.Z)

IMPLICIT DOUBLE PRECISION (A-H.O-Z)

DIMENSION A(3) , Z(3)

LOGICAL ENTER

DATA ENTER, PI /.FALSE., 3.14159265358 /

ON FIRST ENTRY INITIALIZE CONSTANTS

IF (ENTER) GO TO 020

ENTER = .TRUE. HP I = 0.5 * PI ADD1 = 2.0 * PI / 3.0

ADD2 = 2.0 * ADD1

SEE HOW MANY REAL ROOTS EXIST

020 A0 = A (

1

)

A1 = A(2)

A2 = A(3) / 3.0

0 = A1 / 3.0 - A2 * A2

R = (A1 » A2 - A0) / 2.0 - A2 * A2 * A2

TEST =Q*Q*Q+R*R

IF (TEST. LT. 0.0) GO TO 040

EITHER ONE REAL OR THREE REAL WITH TWO

IDENTICAL ROOTS

TEST=DSQRT(TEST

)

51 = DCBRT (R+TEST)

52 = DCBRT (R-TEST)

Z(1) = SI + S2 - A2

Z(2) = Z(1)

Z (3) = Z(1)

IF (TEST. GT. 0.0) RETURN

THREE REAL WITH TWO IDENTICAL

Z(2) = -0.5 * (S1+S2) - A2

Z(3) = Z(2)

89
o

o

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oo GO TO 060

IRREDUCIBLE CASE. THREE REAL ALL DIFFERENT

040 TEST = DSQRT (-TEST)

Q = 2.0 * DCBRT (DSQRT (R*R+TEST*TEST )

)

THETA = HP I IF (R.NE.0.0) THETA = DATAN(TEST/R)

IF (THETA. LT. 0.0) THETA = THETA + PI

THETA = THETA / 3.0

Z(1) = Q * DCOS(THETA) - A2

Z(2) = Q * DCOS(THETA+ADD1 ) - A2

Z (3) = Q * DCOS ( THETA+ADD2 ) - A2

ORDER THE ROOTS AND RETURN

060 ZMIN =DM INI ( Z ( 1 ) ,Z(2) , Z ( 3 )

)

Z ( 2 ) =DMAX 1 (Z(1 ) ,Z(2) ,Z(3))

Z(1) = ZMIN

IF (ZMIN. LT. 0.0) Z(1) = Z(2)

RETURN

END FUNCTION DCBRT (X)

IMPLICIT DOUBLE PRECISION (A-H.O-Z)

SIGN=1 .0 IF (X.LT.0.0) SIGN=-SIGN

DCBRT=S IGN*DABS(X) * * ( 1 .0/3.0)

RETURN

END SUBROUTINE DATA04

DIMENSION G(32),VP(9),GI(11)

DIMENSION GV(9) ,GT(9) , FV(4) . FT (4) , EV(8) . ET(8)

DIMENSION A(20)

COMMON/SEN/BETA ,XO, DELTA. El , E2 . AGAM

COMMON/CP I D/G

COMMON/CRIT/ EM, EOK , RM, TC . DC. X , PC, SIG

COMMON/DATA/G , R . GAMMA , VP . DTP , PCC , PTP , TCC , TTP , TUL , TLL , PUL , DCC

1 , TO. SO, HO

COMMON/DATA 1 /GV , GT , FV , FT , EV , ET COMMON/ I SP/N , NW , NWW , I 04

COMMON/SATC/A , DTPV

R=. 0831 434

GAMMA=-. 00698534

DCC=6. 168

TCC=431 .372

90
PCC=101 .578

TTP=261 .95

DTP=1 6.512

DTPV=. 008071

PTP= . 186357

A( 1 4) = - . 229633432352639D+02

A( 1 5) = .44418067571 8735D—0

A( 1 6) = -. 131600592054883D+01

A( 1 7) = . 196616243521867D+02

A( 1 8) = 1283339840171 1 1D+03

A(19) = . 5839467 1 2735953D+02

A(20) = -. 13822471 10041 56D+02

A( 1 ) = - . 52 1 51 09521 9279 3D+02

A(2) = . 83309705469041 7D-01

A(3) = -. 253065059490397D+01

A(4) = . 398803903385751 D+02

A(5) = - . 343846886075897D+03

A(6) = .21 307429701 3542D+03

A(7) = -.9621987190846130+02

A(8) = .2424646172725770+02

A(9) = 240961 969709632D+01

A ( 1 0

) =A ( 1

1 )=A( 1 2)=A( 1 3)=0

G( 1) = . 4597288294960E 1 G( 2 )=— . 31 08 1 86436820E 3 G( 3)= .611 2269850945E 4 G( 4) =-.873110771 8865E 6 G( 5)= . 7 1 31 502732 444 E 8

G( 6)=— . 85031 43207520E -1 G( 7)= . 1445089748309E 3 G( 8)=- . 8889859726204E 5 G( 9)=-. 49728641 13577E 10 G ( 10)= .2981 177472533E -2

G( 1 1 )=— . 41 581 72441 021 E 1 G( 12)= . 2034429884777E 4 G ( 1 3)=— . 4689856 409 79 0E -1 G( 14)= . 158831 1 134660E 2 G(15)= . 3679927660876E 5 G(16)=— . 1 540646222658E 1 G( 1 7)= . 467351 9598527E -1 G(18)= . 7943347561001 E 3 G(19)=-.2363315312354E 2 G(20)= . 49960630559 1 0E 10 G(21 )=-. 23415131 19386E 10 G(22)= . 3472302954074E 8

91
G(23)=-. 1 09641 8697345E 10 G(24)= . 1 138607201773E 6 G(25)=~. 8323163631 149E 5 G(26)= .21 1498791 1869E 3 G(27)= . 8381 093547965E 5 G(28)= . 2821 172946546E 0 G(29)=-. 35951 16964296E 1 G(30)= . 1739254252424E -3

G(31 )= . 1 2801 1 261052 1 E -1 G(32)=-.8129759389399E 0 VP(6)=PTP

VP(1) = . 568098761 480988E+01

VP(2) = . 472562948273682E+00

VP(3) = . 103600373744947E+00

VP(9) = . 4376388590661 50E-01

VP(4) = .3674221 70556461 E+00

VP(5)=1 .5 VP ( 7)=TTP

VP(8)=TCC

N=0

NW=0

NWW=0

104=1

RETURN

END SUBROUTINE PROPS ( PP , DD , TT)

DIMENSION X(33)

DIMENSION B(33) ,G(32)

EQUIVALENCE (B.X)

COMMON/DATA/G . R , GAMMA

COMMON/ 1/B

DATA( I D= 1

)

DATA( I Z=1

1 CONTINUE

I F ( I Z . LE.0)GO TO 2

I Z=0

2 CONTINUE

D=DD

P=PP

T=TT GM=GAMMA

D2=D*D

D3=D2*D

D4=D3*D

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D5=D4»D

D6=D5*D

D7=D6*D

D8=D7*D

D9=D8*D

D1 0=D9*D

D1 1 =D 1 0 * D D12=D1 1 *D

D 1 3=D 1 2 * D TS=SQRT (T)

T2=T *T T3=T2*T

T4=T3*T

T5=T4*T

F=EXP (GM*D2)

GO TO (100,200,300) ,

ENTRY PRESS

ENTRY FOR PRESSURE, INPUT IS DENSITY

AND TEMP. IN MOL/L AND K, OUTPUT IS IN ATM.

K=1 GO TO 1 100 CONTINUE

B( 1 )=D2*T

B( 2)=D2*TS

B( 3)=D2

B ( 4)=D2/T

B ( 5)=D2/T2

B( 6)=D3*T

B( 7)=D3

B ( 8)=D3/T

B ( 9)=D3/T2

B ( 1 0 )~D4*T

B ( 1

1 )=D4

B ( 1 2 )=D4/T

B( 1 3)=D5

B( 1 4)=D6/T

B( 1 5)=D6/T2

B( 1 6)=D7/T

B( 1 7)=D8/T

B( 1 8)=D8/T2

B( 1 9)=D9/T2

B(20)=D3*F/T2

B(21 )=D3*F/T3

B(22)=D5*F/T2

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B(23)=D5*F/T4

B(24)=D7*F/T2

B(25)=D7*F/T3

B(26)=D9*F/T2

B(27 )=D9*F/T4

B(28)=D1 1 *F/T2

B(29)=D1 1 *F/T3

B(30)=D1 3*F/T2

B(31 )=D1 3*F/T3

B(32)=D1 3*F/T4

I F( I D . GT . 0)GO TO 102

B(33)=P—R*D*T

RETURN

102 P=0

M=32

DO 101 1=1 ,

101 P=P+8( I ) *G( I

)

P=P+R*D.T

PP=P

RETURN

ENTRY DPDD PARTIAL OF PRESSURE WITH RESPECT TO

DENSITY - SEE PRESSURE

ENTRY FOR UNITS

K=2

GO TO 1 200 CONTINUE

F1=2 . 00* F*GM*D

F21 =3 . 000* F *D2 +F1 *D3

F22=5 . 000« F *D4 +F1*D5

F23=7 . 000* F *D6 +F1*D7

F24=9.eeC’. F»D8 +F1 *D9

F25=1 1 . 00* F*D 1 0+F 1 *D1

F26=1 3 . 00* F*D1 2+F1 *D13

B( 1 )=2 . 00*D*T

B ( 2)=2 . 00*D*TS

B( 3)=2 . 00*D

B( 4)=2 . 00*D/T

B( 5)=2 . 00*D/T2

B ( 6)=3 . 00*D2*T

B ( 7)=3.00*D2

B( 8)=3 . 00*D2/T

B( 9 )=3 . 00*D2/T2

B( 1 0)=4 . 00*D3*T

B( 1

1 )=4 . 00*D3

B( 1 2)=4 . 00*D3/T

B( 1 3)=5 . 00*D4

B( 1 4)=6 . 00*D5/T

B( 1 5)=6 . 00*D5/T2

B( 1 6)=7 . 00*D6/T

B( 1 7 )=8 . 00*D7/T

B( 1 8)=8 . 00*D7/T2

94
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B ( 1 9

) =9 . 00*D8/T2

B(20)=F21/T2

B ( 2 1 )=F21/T3

B(22)=F22/T2

8(23)=F22/T4

B(24)=F23/T2

B(25)=F23/T3

B(26)=F24/T2

B( 27 )=F24/T 4 B(28)=F25/T2

B(29)=F25/T3

B(30)=F26/T2

B(31 )=F26/T3

B(32)=F26/T4

M=32

I F( ID . GT . 0)GO TO 202

B(33)=P-R*T

RETURN

202 P=0

DO 201 1=1 ,M 201 P=P+B( I ) *G( I

)

P=P+R*T

PP=P

RETURN

ENTRY DPDT

PARTIAL OF PRESSURE WITH RESPECT

TO TEMPERATURE - SEE PRESSURE

ENTRY FOR UNITS

K=3

GO TO 1 300 CONTINUE

X( 1 )=D2

X( 2)=D2/(2 . 00*TS)

X( 3)=0

X( 4)=-D2/T2

X( 5)=-2 . 00*D2/T3

X( 6)=D3

X ( 7)=0

X( 8)=-D3/T2

X( 9 )=-2 . 00*D3/T3

X( 1 0)=D4

X(1 1 )=0

X( 1 2)=-D4/T2

X( 1 3)=0

X( 1 4)=-D6/T2

X( 1 5)=-2 . 00*D6/T3

X( 1 6)=-D7/T2

X( 1 7)=-D8/T2

X ( 1 8)=-2 . 00*D8/T3

X( 1 9)=-2 . 00*D9/T3

X(20)=-2 . 00*D3*F/T3

X(21 )=-3 ,00*D3*F/T4

X(22)=-2 . 00*D5*F/T3

X(23)=-4 . 00*D5*F/T5

X(24)=-2 . 00*D7*F/T3

95
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X ( 25)=-3 . 00*D7* F/T4

X(26)=-2 . 00*D9*F/T3

X(27)=—4 . 00«D9*F/T5

X(28)=-2 . 00*D1 1 *F/T3

X(29)=-3.00*D1 1 *F/T4

X(30)=-2 . 00*D13*F/T3

X ( 3 1 )=-3 . 00*D13*F/T4

X(32)=-4.00*D13*F/T5

I F( I D . GT . 0)GO TO 302

X(33)=PP-R*D

RETURN

302 P=0

DO 301 1=1 ,32

301 P=P+G( I ) *X( I

)

PP=P+R * D RETURN

END FUNCTION VPN(TT)

CALCULATES VAPOR PRESSURE IN ATMOSPHERES

FOR AN INPUT TEMPERATURE IN KELVIN

DIMENSION G(32) ,VP(9)

COMMON/DATA/G , R , GAMMA , VP T=TT

X=( 1

. -VP (7 )/T)/( 1

. -VP (7 )/VP (8)

)

VPN=VP(6) *EXP ( VP (

1 )*X+VP(2)*X*X+VP(3)*X**3+VP(9)*X**4+VP(4)*X*

1(1 . -X) * *VP (5)

)

RETURN

END FUNCTION FINDTV(POBS)

ITTERATES THE VAPOR PRESSURE EQUATION

FOR A TEMPERATURE ( IN KELVIN)

GIVEN AN INPUT PRESSURE IN ATMOSPHERES

COMMON/ jATA/G , R , GAMMA , VP , DTP DIMENSION G(32) ,VP(9)

T=VP(8)

DO 7 1=1 , 10 P=VPN(T

)

I F ( ABS ( P-POBS )- . 00000 1 * POBS ) 8 , 8 ,

6 CONTINUE

CORR= ( POBS-P )/DPDTVP ( T

)

7 T=T+CORR

8 CONTINUE

FINDTV=T

RETURN

END FUNCTION FIND D(P,T)

C ITTERATES EQUATION OF STATE

C FOR DENSITY, GIVEN PRESSURE

C AND TEMP. IN ATM. AND KELVIN. IF C ITTERATION FAILS TRY USING

C FUNCTION CALLED FIND M DIMENSION G(32) ,VP(9)

COMMON/DATA/G , R , GAMMA , VP , DTP , PCC , PTP , TCC , TTP , TUL , PUL , DCC

TT=T IF(TT.GT.VP(8))GO TO 100

96
1 F ( P.GT.VPN(TT))GO TO 101 DD=SATV(TT)

GO TO 102

100 PC=PCC/1 .013' 5 X=( 1 . 1/(9. *PC))*P+. 7/9.

DD=P/(R*T *X)

1 F (P/PC . GT . 20 . . AND . T/VP(8) . LT . 2 . 5)DD=DTP

GO TO 102

101 DD=SATL(TT

)

102 CONTINUE

DO 10 1=1 .50

1 F(DD . LE . 0 . 0 . OR . DD . GT . 50 . )GO TO 11 CALL PRESS ( PP , DD , TT

)

1 F(PP . LE . 0 . 0)GO TO 11 P2=PP

I F ( ABS (P-P2)-1 . E-7*P)20 .20,1

1 CALL DPDD(PP.DD.TT)

DP=PP

CORR= ( P2-P ) /DP

I F (ABS (CORR)-I . E-7*DD)20,20, 10

10 DD=DD-CORR

1 1 CALL REGULA(P.DD.T)

20 FIND D=DD

RETURN

END SUBROUTINE REGULA(PI . DD , TT)

C ITTERATES EQUATION OF STATE FOR DENSITY WHEN FIND D FAILS

DIMENSION G(32) ,VP(9)

COMMON/DATA/G . R . GAMMA , VP . DTP . PCC , PTP , TCC . TTP . TUL . TLL . PUL . DCC T=TT

P=PI D2=0

I F(T . LT . TCC)GO TO 10

D0=DCC*TCC/T

GO TO 20

10 PP=VPN(T)

I F(P . GT . PP)GO TO 15

D0=SATV(T)

DO 11 1=1,150

CALL PRESS(P0,D0,T)

I F(P0 . GE . P)GO TO 12

11 D0=D0+ . 0001 *D0

GO TO 42

12 D1=D0

13 CALL PRESS(P1 ,D1 ,T)

I F(P1 . LT . P)GO TO 14

I F(D1 . LE. . 1 *PTP)GO TO 42

D0=D1

Z=(P1-P)/P

IF(Z. LT. . 1 )Z=.

I F(Z . GT . . 9)Z= .

D1=D1-Z*D1

GO TO 13 14 CALL PRESS(P0,D0,T)

DO 140 1=1 ,50

97
D=D 1 P3=P1

I F (ABS(P-P1 ) . LT . . 00001 *P)GO TO 40

P2=P—PI D1=D1+(D1-D0) *P2/(P1-P0)

1F(ABS(D-D1 ). LE. .00001 *D)GO TO 40

I F( ABS(P-P1 ) . LT . . 005*P)D2=FIND M(P.T,D1)

I F(D2 . GT . 0 . 0 . AND . D2 . LT . 50 . )D1 =02

D2=0

CALL PRESS(P1 , D1 ,T)

1 F(P0 . GT . P . AND .PI . GT . P)GO TO 120

1F(P0. LT.P.AND.P1 . LT.P)GO TO 120

GO TO 140

120 P0=P3

D0=D

140 CONTINUE

GO TO 41 15 D0=SATL(T)

DO 16 1=1,10

CALL PRESS(P0 , D0 , T

)

I F(P0 . LE . P)GO TO 17

16 D0=D0— . 0001 *D0

GO TO 42

17 D1=D0

18 CALL PRESS(P1 ,D1 ,T)

I F ( D 1 . GE . 50 . )G0 TO 42

I F ( P 1 . GT . P)GO TO 14 D0=D1

Z=(P-P1 )/P

Z=Z*10

IF(T/TCC. LT. . 6)Z=1

1 F ( Z . LT. 1

. )Z=1

I F(Z . GT . 9 . )Z=9

D1=D1+.01*D1*Z

GO TO 18 20 CALL PRESS (P0 , D0 , T

)

I F(P . LE . P0)GO TO 30

D1=D0

21 CALL PRESS(P1 ,D1 ,T)

I F( P 1 . GE . P)GO TO 14

I F ( D 1 . GE . 50 . )G0 TO 42 D0=D1

Z=(P-P1 )/P

Z=Z* 1

IF(Z. LT. 1 )Z=1

IF(Z.GT.9)Z=9

D1=D1+. 1 *D1 *Z GO TO 21 30 D1=D0

31 CALL PRESS(P1 ,D1 ,T)

I F (PI . LE . P )G0 TO 14

I F(D1 . LE. . 1*PTP)G0 TO 42

D0=D1

Z=(P1-P)/P

Z=Z*10

98
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I F ( Z . LT . 1 ) Z=1 IF(Z.GT.9)Z=9

D 1 =D 1 — . 1 *D1 *Z GO TO 31 40 DD=D1

RETURN

41 PRINT 101 , P , T , D 102 FORMAT ( * REGULA FAILED AT P=*,F7.2,* "AND T=*,F7.2)

101 FORMAT ( * DENSITY I TTERAT ION FAILED AT P=*,F7.2,* AND T=*,F7.2,

1/* DENSITY RETURNED IS*,E17.8)

RETURN

42 PRINT 102, P.T

RETURN

END FUNCTION DPDTVP(TT)

CALCULATES THE DERIVATIVE OF PRESSURE

WITH RESPECT TO TEMPERATURE AT SATURATION. INPUT IS TEMP. IN K, OUTPUT IS ATM/K

COMMON/DATA/G , R , GAMMA , VP

DIMENSION G(32) ,VP(9) T=TT IF(TT.GT.VP(8))GO TO 1 X=( 1

• -VP ( 7)/T )/( 1. -VP (7 )/VP(8)

)

DXDT=(VP(7)/T * *2)/( 1 .—VP(7)/VP(8)

)

DPDT=VP( 1 ) *DXDT+2 . *VP(2 ) *X*DXDT+VP ( 3) *3 . *X* *2*DXDT+VP(4)

1 ((1 .-X) **VP(5) ) *DXDT+VP(4) *X* ( ( 1 ,-X) ** (VP(5)-1 . ) ) *VP(5) * (-DXDT)

2+VP(9) 4*X**3*DXDT

DPDT=DPDT *VPN(T)

DPDTVP=DPDT

RETURN

1 DPDTVF=0

RETURN

END FUNCTION FIND M(P,T,DD)

C ALTERNATIVE FOR FIND D, INPUT IS C PRESSURE IN ATM., T IN KELVIN AND

C DENSITY IN MOL/L. INPUT DENSITY

C IS A STARTING VALUE FOR I TTERAT I ON

C OF EQUATION OF STATE FOR SOLUTION FOR P AND T TT=T

DO 10 1=1 ,50

CALL PRESS(PP.DD.TT)

P2=PP

I F(ABS (P—P2)—1 . E-7*P)20,20,

1 CALL DPDD(PP , DD , TT)

DP=PP

CORR=(P2-P)/DP

D=DD

I F( ABS (CORR)-I . E-7*D)20 , 20 , 10

10 DD=DD-CORR

FIND M=0

RETURN

20 FIND M=DD

RETURN

END

99
non

FUNCTION SATL(TT)

CALCULATES THE DENSITY OF THE SATURATED LIQUID AT TEMP., T IN KELVIN.

OUTPUT IS IN MOL/L.

DIMENSION A(20)

DIMENSION G(32) ,VP(9)

COMMON/DATA/G , R , GAMMA , VP . DTP , PCC , PTP , TCC . TTP , TUL , TLL , PUL . DCC

COMMON/SATC/A , DTPV

K=1

KK=7

GO TO 10 ENTRY SATV

K=1 KK=13

10 I F(T . GE . TCC)GO TO 20 T=TT

I TT=TCC

I F ( ITT+1-T . LT . 1

. )T=ITT

X=(T—TCC)/ (TTP-TCC)

D=A(K) *ALOG(X)

DO 11 1=2, KK K=K+1

MM= I

I F ( MM . G E . 5) MM=MM+

11 D=D+A(K) * (1 . -X* * ( (MM—5)/3 . )

)

I F(K . LT . 1 4)G0 TO 12 D=DCC+EXP(D) * (DTP—DCC)

GO TO 13

12 D=DCC+EXP(D) * (DTPV-DCC)

13 SATL=D

I F ( ITT+1-TT . LT . 1

. )SATL=D-(D-DCC) * (TT-T)/(TCC-T)

RETURN

20 DSATL=DCC

RETURN

END

100
NBS-II4A REV. 2-BCI

II PT. OF COMM.

BIBLIOGRAPHIC DATA

SHEET fSee instructions)

1. PUBLICATION OR

REPORT NO.

NBSIR 86-3054

2. Performing Organ. Report No. 3. Pub! ication Date

July 1986

4 . TITLE AND SUBTITLE

rHK THERMODYNAMIC PROPERTIES OF NITROGEN TETROXIDE

5. AUTHOR(S)

Robert D. McCarty, Hans-Ulrich Steurer, and C. M. Daily

6 . PE R FORMING O RGAN I ZATI ON (If Joint or other than N BS, see in struct ion s)

NATIONAL BUREAU OF STANDARDS

DEPARTMENT OF COMMERCE

WASHINGTON, D.C. 20234

7. Contract/Grant No.

8. Type of Report & Period Covered

9. SPONSORING ORGANIZATION NAME AND COMPLETE ADDRESS (Street. City. State. ZIP)

NASA

John F. Kennedy Space Center, Florida 32899

10. SUPPLEMENTARY NOTES

Document describes a computer program; SF-185, FIPS Software Summary, is attached.

11. ABST RACT ( A 200-word or less factual summary of most sign ifi cant information. If document includes a significant

bi bl iography or literature survey, mention it here) A mathematical model of the equation of state of nitrogen tetroxide is presented.

Isobaric tables of P-p-T and composition for temperatures from the triple point

(261.95 K) to 600 K with pressures to 40 MPa are also given. The mathematical

model of the equation of state is a 32 term modified Benedict-Webb-Rubin equation.

A method of calculating chemical equilibrium for the system is also presented.

12. K.’EY WORDS (Six to tvye/vQ entries; alphabetical order- capitalize only proper names; and, separate key words by semicolon sj chemical equilibrium; composition; density; equation of state; nitrogen

tetroxide; pressure; temperature.

13. AVAILABILITY

[X29 Uni imited

| | For Official Distribution. Do Not Release to NTIS

Order From Superintendent of Documents, U.S. Government Printing Office, Washington, D.C.

20402.

[XX] Order From National Technical Information Service (NTIS), Springfield, VA. 22161

14. NO. OF

PRINTED PAGES

106

15. Price

USC OMM-OC 6043-P

#U.S. GOVERNMENT PRINTING OFFICE 4».