NIST

PUBUCATIONS REFERENCE NASA SP-3088

NBSIR 74-374

THERMODYNAMIC AND

RELATED PROPERTIES

OF PARAHYDROGEN

FROM THE TRIPLE POINT

TO 300 K AT PRESSURES

TO 1000 BAR

WEBER 1/1

NATIONAL BUREAU OF STANDARDS

lONAL AERONAUTICS AND SPACE ADMINISTRATION

NASA SP-3088

NBSIR 74-374

M THERMODYNAMIC AND

RELATED PROPERTIES^^M

^^ToF PARAHYDROGEN

FROMTHETRIPLETO |

B TO 300 K AT PRESSURES

^^H^O 1000 BAR^^H

By L. A. Weber

Cryogenics Division, Institute for Basic Standards

National Bureau of Standards, Boulder, Colorado

Prepared for NASA Lewis Research Center

Scientific and Technical Information Office 1975

NATIONAL AERONAUTICS AND SPACE ADMINISTRATION

Washington, D.C.
For sale by the National Technical Information Service

Springfield, Virginia 22151
Contents

Page

1 . Introduction . . . . 1

2. Experimental Method 2

2.1 Description of Apparatus 2

2.2 Experimental Procedure. 3

3. Experimental Results 4

3. 1 The Data 4

3.2 Representation of the Data 4

3. 3 Estimate of Uncertainty of the PVT Data , 7

3.4 Comparisons with Previous Data g

3.5 Thermodynamic Properties 9

4. Acknowledgments 12

5. References 13

Appendix A. Interpolation Fxinctions and Parameters

Defining the Second and Third Virial

Coefficients I5

Appendix B. Fixed Points and Phase Equilibrium

Boundaries Used for Parahydrogen, Taken

from Reference [2]

List of Figures

Figure 1. Density-temperature diagram showing location of the

new data as well as the earlier data 21

Figure 2. Density-temperature diagram showing the three

regions used for the representation of the data. ... 22

Figure 3. Comparison of data with the surface given in ref. [3];

0 - 40 K, - 60 K, A - 90 K 23

iii
List of Figures (Continued)

Page

Figure 4. Comparison with the data of Michels et al. [4]

as represented by the surface given in ref. [3];

A - 120 K, - 200 K, 0 - 300 K 24

Figure 5. Density differences between normal and parahydrogen at a given temperature and pressure . . 25

Figure 6. Comparison of enthalpy with values calculated

by Michels et al. , [4]. 26

List of Tables

Table I Experimental PVT data for parahydrogen 2 7

Table II Parameters used in equation (2) 37

Table III Parameters used in equation (3) 42

Table IV Parameters for equation (4) 48

Table V Thermodynamic properties of parahydrogen on

the liquid -vapor boundary 49

Table VI Thermodynamic properties of parahydrogen on

isobars 50

iv
Thermodynamic and Related Properties

of Parahydrogen from the Triple Point

to 300 K at Pressures to 1000 Bar*

L. A. Weber

NBS compressibility measurements and thermodynamic

properties data for parahydrogen have been extended to higher

temperatures and pressures. Results of an experimental program are presented in the form of new PVT data in the temperature range 23-300 K at pressures up to 800 bar. Also

given are tables of thermodynamic properties on isobars to

1000 bar including density, internal energy, enthalpy, entropy,

specific heats at constant volume and constant pressure,

velocity of sound, and the surface derivatives (bP/bT)^ and

(bP/6 The accuracy of the data is discussed and comparisons are made with previous data.

Keywords: density, enthalpy, entropy, hydrogen, properties

of fluids, specific heat, velocity of sound.

1. Introduction

Approximately ten years ago this laboratory published accurate

measurements of the densities, compressibilities and thermodynamic

properties of parahydrogen in the range from the triple point to 100 K at

pressures up to 340 bar [l, 2]. That work was sponsored by NASA and it

satisfied most of the requirements of the U.S. space program at that time

for properties data on hydrogen. In recent years, however, new programs

have resulted in the need for an accurate knowledge of the properties of

hydrogen, and other fluids, over a much wider range of temperatures and

pressures. An interim report [3] attempted to satisfy those needs by extrapolating the available data to higher pressures. We have now extended

our previous PVT measurements to higher temperatures (300 K) and

pressures (800 bar). This report presents the results of that experimental program. Approximately 374 PVT data points were measured.

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

the sponsorship of the National Aeronautics and Space Administration.
at 31 densities ranging from 10 to 44 mol/-t'. Experimental pressures

ranged up to about 800 bar, and the tables of derived properties have

been extrapolated to 1000 bar for the convenience of the user.

The data have been smoothed and represented analytically to

allow calculation of the thermal properties. The results have been

compared with the earlier NBS data and, above 100 K, with the data of

Michels et al. [4].

2. Experimental Method

2. 1 Description of the Apparatus

The apparatus originally designed and described by Goodwin [5]

was used with some modifications. Only a brief description is given here.

The sample holder consists of a heavy -walled copper container with a small cavity having a volume of about 2 7 cm . Temperatures are measured with a platinum resistance thermometer mounted in a well in the

sample holder. The sample is introduced into the cavity via a stainless

steel capillary having a diameter of about 0.033 cm. The sample holder

is mounted in a nearly adiabatic cryostat, and the small amount of residual cooling is balanced by means of a temperature controller and a heater wrapped around the outside of the copper container. Pressure is

measured by means of an oil-operated dead weight gage. The pressure

measuring system was described in more detail by Weber [6]. The

amount of sample is determined by releasing it into a set of four calibrated, thermostated glass bulbs having volumes from one to twenty

liters. Pressure in the bulbs is measured by means of a quartz spiral

bourdon gage, A more complete description of the apparatus in its present form has been given by Prydz and Straty [7] in their work on fluorine.

The parts of the apparatus dealing with the problems of sample preparation and disposal, unique to fluorine, were dismantled for this work. The

sample preparation system for the hydrogen samples consisted of a

2
Molecular sieve trap at 76 K to remove any v/ater and an ortho-para

conversion trap maintained at 20 K. The ortho-para composition was

monitored by means of an analyzer operating on the principle of a thermal conductivity bridge. Samples were taken from cylinders of

ultra high purity hydrogen.

The volume calibrations given in reference [7] for the various

parts of the apparatus were used in this work with two exceptions. The

differential pressure indicator, used to separate the hydrogen sample

from the working fluid of the pressure measuring system, was replaced

with one in which the parts in contact with the hydrogen were fabricated

from A-286 steel. The volume of this device is an important factor in

computing the density. It was redetermined by gas expansion into a

3

calibrated glass bulb and found to be 0. 59 cm . The other volume change

was that of the sample holder itself. This container is made of electrolytic tough pitch copper, and its elastic limit was estimated by means

of a model for thick-wall vessels to be in the neighborhood of 1000 bar.

However, after it was pressurized to a maximum pressure of 850 bar

its volume was found to have increased inelastically by 5. 1%. This

fact was determined by comparing the PVT data taken before and after

the pre ssurization with the earlier results from the same apparatus in

reference [l]. This pressure was never exceeded during the subsequent

experimental work, and numerous similar comparisons confirmed the

fact that the volume did not increase further. The volume of the sample

3

holder at 293 K and a pressure of one bar used here is 27. 199 cm . Suitable adjustments for changes in temperature and pressure were made

as given in reference [7].

2.2 Experimental Procedure

In practice the sample, having passed through the preparation

system, is loaded into the sample holder at some predetermined filling

conditions and sealed off by means of a stainless steel valve mounted

3
on top of the cryostat. During this procedure some of the gas is bled off

into the ortho-para analyzer. Pressure is nneasured as a function of temperature at discreet, integral temperatures along a path of nearly constant density. When the maximum temperature or pressure is reached,

the sample is released into the glass bulbs. The bulbs are chosen in

such a way that the final pressure is about one bar. Measurement of

this pressure, coupled with the use of room temperature virial coefficients, which are generally known, allows the calculation of the amount

of sample

.

3. Experimental Resxilts

3. 1 The Data

Approximately 374 new data points were taken along 31 lines of

constant density (isochores). Data on each isochore were measured on

a set of predetermined temperatures so that the ultimate result would be

a set of isotherms. Temperatures above 90 K were measured on the

IPTS 1948 and, below 90 K, on the NBS 1955 temperature scales so that

the results could be integrated with the earlier NBS data in reference [l ]. For each experimental density one or more data points were measured

within the range of the data of reference [l] in order to insure the continued compatibility of the tw3 sets of data. The data are given in

Table I and their location with respect to the earlier data is shown in

Figure 1. Experimental temperatures on the IPTS 68 scale are also

included in the table.

3.2 Representation of the Data

The combined sets of the present data and those from [1] were used

in the formulation of the PVT surface. No attempt has been made to fit

all the data to one wide -range equation of state. Instead the data were

divided into three regions, by density, and each region was smoothed and

interpolated by the means which seemed most appropriate. Location of

the three regions is shown in Figure 2, and they are discussed separately

below. 4
Low density region . In order to insure proper behavior of some

of the thermodynamic properties, such as entropy, it is necessary to

represent the low density region with an analytic surface having a virial-type expansion in density. A truncated virial expression with

two coefficients.

was found to represent the data with sufficient accuracy up to a density

of 7 mol/1, or about one half critical density. The temperature dependence of the virial coefficients, B and C, is especially important due to

the fact that the derived thermodynamic properties depend on the first

and second temperature derivatives of these quantities. Thus the success of a given mathematical representation should be judged not only

by how well the experimental densities are reproduced but also by how

well any experimental thermodynamic properties can be reproduced.

The latter criterion is much more stringent. The expressions for B and

C in reference [2] were succes sfully used to calculate specific heats

in agreement with experimental values at temperatures up to 100 K, and

they are used here. For temperatures above 100 K we have data only for

densities greater than about 10 mol/t. Therefore we were forced to

look elsewhere for virial coefficients. The correlation by Goodwin

et al. [8]gives expressions for B and C from 15 to 423 K. These appear

to have the proper behavior in the region of interest here and they were

incorporated into the PVT surface for the range 100 to 300 K. A complete description of the functions and parameters used for B and C is

given in Appendix A.

Intermediate densities . The data in this region are represented

by 58 isotherm polynomials of the form

P= RTp(l+ Bp + Cp ) (1)

N

P = RTp + (2)

J = l

5
The number of coefficients varied from a maximum of 1 5 for the 33 K

isotherm to a minimum of 3. These isotherms fit the data with standard

deviations of 0.01-0.03% in density. The isotherms were used to interpolate the data to even increments in density. The pre s sure -tempe rature

pairs thus obtained for a given density were fit with an isochore polynomial

of the form,

P=^AjT(^-J). (3)

J = l

A total of 68 isochore polynomials were used between 6. 5 and 40 mol / -t, with a 0.5 mol/'t increment in density. The parameters used in equations (2) and (3) are given in Tables II and III respectively.

High densities . The high density compressed liquid data, bounded

by the melting curve and the 38 mol /-t isochore, were represented by

means of a fourteen parameter empirical surface given by

2 2 2

P - RTp + {A,T +A_T+A +A /T) + (A^T +A, T+A +A„ /T+A^ /T )p

1 ^34 r> bio y

+ (A^qT^+A^^T+A^^)P^+ (A^^T^ + A^^T)pl (4)

The values of the parameters are given in Table IV. The surface was

constrained to the triple point given in [2]. Standard deviation for the

fit of this surface was 0. 014% in density, and it was used for representing the PVT surface at densities greater than 40 mo\/l.

Other data. The critical parameters, melting pressures, liquidvapor two phase boundary, and vapor pressure curve were all taken

from [2]. and they are repeated in Appendix B for the convenience of

the reader.

Interpolation methods for densities . Equations (1-4) are all explicit in pressure. Therefore the density at a given temperature and

6
pressure must be found by iteration. In the low and high density regions

a simple Newton's iteration was used along an isotherm of the analytic

surfaces (1) or (4), In the intermediate density region densities were

found by a linear interpolation between the isochores tabulated in

Table III.

3, 3 Estimate of Uncertainty of the PVT Data

Based upon a consideration of the uncertainties in the calibration

procedure and upon the results of several workers over a period of

years, the volume of the sample holder is believed to be known to

within 0. 1%. The uncertainty in the room temperature volumes con3

nected to the sample holder is about 0.02 cm . Thus the maximum uncertainty from these two sources varies from 0. 1% for a low temperature

compressed liquid to 0. 17% for the room temperature gas data. Corrections were made for the temperature variation of the sample holder

volume using well known thermal expansion data for copper. Uncertainties due to this source are estimated to be of the order of 0, 01%. Corrections for the volume change with pressure were also made using the

Young's modulus for copper and a relationship applicable to thick-wall

containers. The remaining uncertainty is probably of the order of

several hundredths of one percent at the highest pressures. The accuracy of the pressure gage is claimed to be 0.01%. Corrections were

made for the hydrostatic pressure heads in the apparatus connected to

the sample holder during measurements. Errors due to this source are

considered negligible. Temperatures were measured and reproduced to

within about 0.001 K. Overall accuracy of the potentiometric measurement of the absolute temperature is less, however, and varies from

0. 002 K at 50 K to 0.028 K at room temperature. The above uncertainties

are systematic and the total is seen to vary from a minimum of about

0. 1% for the low pressure compressed liquid to about 0.2% for the high

7
pressure room temperature gas data. The experimental precision is

about 0.02% in density.

The above uncertainties apply to the experimental data. It is inevitable that the interpolation functions used to calculate the final tables

will degrade the accuracy somewhat. This effect may be seen by using

the experimental data as input test points for the computer program

which is used to calculate the smoothed tables. When this is done the

standard deviation of all the data from the calculated surface is 0.04%

in density. The deviation of the individual points is given in the last

column in Table I.

3.4 Comparisons with Previous Data

The present data have been compared to the earlier data of [l]

and [4] via the surface representation in reference [3], which was fit to

the data of [l] below 90 K and to the data of [4] above 100 K. The average

' deviation of the new data from the earlier NBS data of [l] is 0. 021% in

density based on a comparison of 37 data points. Reference [3] also

included an extrapolation of the data of [l] up to a pressure of 10, 000

psia (689 bar). Figure 3 is a comparison of that extrapolation with the

present data at three temperatures. It is seen that the differences approach one percent in density at the highest pressures. The apparent

scatter shown in the figure is mostly in the calculated extrapolation

rather than the experimental data.

Comparison with the work of Michels et al., [4], is more complex

as the differences exhibit systematic trends with both temperature and

density. A comparison at three temperatures is given in Figure 4.

Deviations are seen to be as large as 0.25%. The data of Michels et al.

were measured on normal hydrogen while our data are for parahydrogen. It has not been determined whether the above differences

8
could be due to the different compositions. As part of the preliminarywork for this project some PVT measurements were made at lower

temperatures on hydrogen of approximately normal composition. Those

results along with some earlier measurements, [5, 9], are compared

with the parahydrogen PVT surface in Figure 5. Although the three

sets of data shown are not completely consistent, the figure suggests

that while the difference between the densities of liquid normal and parahydrogen is large, at higher temperatures it should be less than 0. 1%.

The present results are based entirely on parahydrogen data.

3.5 Thermodynamic Properties.

Accurate representation of precise PVT data allows calculation

of the equilibrium thermodynamic properties by means of the appropriate

thermodynamic relationships. These relationships and calculation

techniques have been given in reference [2] and elsewhere, and they

will not be repeated here. Only the change of each property with density at constant temperature is calculated, and to this must be added

the ideal gas value at that temperature. The thermodynamic properties

of the ideal gas used here are the same as used in reference [3], which

were originally taken from the work of Woolley, Scott, and Brickwedde

I 10]. The results are tabulated for the liquid -vapor coexistence boundary in Table V and along isobars from 1-1000 bar in Table VI. For

the low and high density regions, described by equations (1) and (4),

thermodynamic properties such as enthalpy could be calculated explicitly as functions of density and temperature. For the intermediate

densities, however, there are no closed form calculations, and numerical integrations were used to calculate the derived properties. The

tables use the gram as the unit of mass, and the molecular weight was

taken to be 2. 01572.

A rigorous calculation of the uncertainties in the derived properties is generally not possible. Comparison with experimentally measured values is to be preferred when the latter are available. Often

9
it is necessary to rely on the estimate of the author and on connparisons of

values calculated from the data of different laboratories. In reference [2]

calculated and experimental values of C were found to agree to within ^ V

1%. A similar comparison with experimental velocity of sound values

showed agreement to within 0. 5%. In the broader range of temperature

and pressure considered here, where no experimental data exist for C

V

or velocity of sound, we may expect the calculated values to have about

the same accuracy. We may arrive at the same estimate by considering

the thermodynamic relationship used to calculate C . The contribution

V

of the PVT surface to the specific heat depends on the second derivative

2 2 2

of the PVT surface in the integral f (5 p/bT ) dp /p . The precision

of the experimental data leads us to believe that we can calculate this

isochore second derivative with an accuracy of about 10%. However,

except in the critical region, this contribution amounts to only about 10%

of the total specific heat. The uncertainty in the 90% contribution from

the ideal gas is negligible for simple molecules. The specific heat at

constant pressure, C^, is derived from C by means of first derivatives

of the PVT surface, (bP/bT)^ and (5P/5p)^, which are tabulated in

Tables V and VI. The uncertainties in these quantities are of the order

of 1%, leading to a similar uncertainty in Cp.

The uncertainty in the tabulated values for enthalpy and entropy

may be estimated in similar fashion. For example, enthalpy is obtained

via the relation.

o , r \ / 3p \

H(T, p) -H (T)+P/p-RT + / ^P-T (^-^ j J^ P o ^ 2

P where H° refers to the ideal gas. The integrand in equation (5) vanishes

for an ideal gas and for a real gas such as hydrogen at room temperature

it becomes a small difference between two large quantities. Fortunately

in such cases where the relative uncertainty is large, this term makes

10
only a small contribution to the calcvilated enthalpy. By the use of such

arguments we may say that we expect the tabulated enthalpy to have an

uncertainty which varies from zero at the low density limit to a maximum

of about 10 J/mol for the liquid and the high pressure gas. This uncertainty would also apply to the internal energy. Uncertainty in the

entropy varies from zero to about 0.05 J/mol -K for the compressed gas

and about 0. 1 J/mol-K for the liquid. Uncertainties for all properties

are larger in the critical region.

A comparison between the tabulated enthalpies and those calculated by Michels et al. [4] is given in Figure 6. It is seen that the

difference between the two calculations reaches a maximum of 2 7 J/mol

at room tempe rature . The density differences in this region, shown in

Figure 4, would account for about 3 J/mol. Comparison was also made

with the recent direct enthalpy measurements of Dawe and Snowdon [11],

which were performed on normal hydrogen at pressures up to 100 bar

(densities up to about 5 mol/t) along five isotherms between 222 and

367 K. Their results agree very well with our calculations and with

those of Michels et al. in this low density range.

11
4. Acknowledgments

The author is indebted to D. E. Diller and G. C. Straty for manyhelpful discussions and to R. D. McCarty for the least-squares progra

used here. This work was supported by NASA Contract C-32369-C.

12
5. References

Goodwin, R. D., Diller, D. E. , Roder, H. M., and Weber, L. A.,

Pressure -Density-Temperature Relations of Fluid Para Hydrogen

From 15 to 100°K at Pressures to 350 Atmospheres, J. Res. Nat.

Bur. Stand. 6 7 A, No. 2, 173-192 (1963).

Roder, H. M., Weber, L. A., and Goodwin, R. D., Thermodynamic and Related Properties of Parahydrogen From the Triple

Point to 100 K at Pressures to 340 Atmospheres, Nat. Bur. Stand.

Monograph 94 (1965).

McCarty, R, D., and Weber, L. A., The rmophysical Properties

of Parahydrogen from the Freezing Line to 5000 R for Pressures

to 10, 000 Psia, Nat. Bur. Stand. Tech. Note 6l7 (1972).

Michels, A., De Graaff, W., Wassenaar, T., Levelt, J. M. H.,

and Louwerse, P., Compressibility Isotherms of Hydrogen and

Deuterium at Temperatures Between -175 C and 150 C, Physica

25^, 25-42 (1959);

and

Michels, A., De Graaff, W., and Wolkers, G. J., Thermodynamic

Properties of Hydrogen and Deuterium at Temperatures Between

-175C and 150C at Densities up to 840 Amagat, Physica 2_5, 1097-

1124 (1959).

Goodwin, R. D., Apparatus for Determination of Pre s sure -DensityTemperature Relations and Specific Heats of Hydrogen to 350

Atmospheres at Temperatures Above 14 K, J. Res. Nat. Bur.

Stand. 65C, No. 4, 231-243 (1961).

Weber, L. A., PVT, Thermodynamic and Related Properties of

Oxygen from the Triple Point to 300 K at Pressures to 3 3 MN/m^,

J. Res. Nat. Bur. Stand. 74A, No. 1, 93-129 (1969).

Prydz, R. , and Straty, G. C., The Thermodynamic Properties of

Gaseous and Liquid Fluorine, Nat. Bur. Stand. Tech. Note 392

(1970).

13
Goodwin, R. D., Diller, D. E., Roder, H. M., and Weber, L.A.,

Second and Third Virial Coefficients for Hydrogen, J. Res. Nat.

Bur. Stand. 6 8A, No. 1, 121-125 (1963).

Goodwin, R. D., Diller, D. E., Roder, H. M., and Weber, L. A.,

The Densities of Saturated Liquid Hydrogen, Cryogenics 2, 81-83

(1961).

WooUey, H. W., Scott, R. B., and Brickwedde, F. G., Compilation of Thermal Properties of Hydrogen in its Various Isotopic and

Ortho-para Modifications, J. Res. Nat. Bur. Stand. 4_1, 379-475

(1948).

Dawe, R. A. and Snowdon, P. N., Experimental Enthalpies for

Gaseous Hydrogen in the Range 1 to 100 bar and 367.00 to 222. 15 K,

Physic a 74, 435 (1974).

McCarty, R. D., A Modified Benedict-Webb-Rubin Equation of

State for Parahydrogen, Nat. Bur. Stand. NBSIR 74-357 (1974).

14
Appendix A. Interpolation Functions and Parameters Defining the

Second and Third Virial Coefficients

B is in cm^/mol, C in ^cm^/mol^

^

with

(a) Second virial coefficient .

For temperatures less than 100 K [2]:

RTB = A^T + + A^/T + AjT^ (la)

A^ = 1.939 7741 X 10^

A^ = -1.927 9522 X 10^

= -2.289 0051 x 10

A, = 1. 109 4088 X 10^

4

Temperatures greater than 100 K [8]:

1/4 3/4 5/4 7/4 B = B^x' + B^x ' + B^x^' + B^x'' (2a)

1 2 3 4 ^ '

where x = 109.781/Tand

Bj = 42.464

B^ = -37.1172

B^ = - 2.2982

B, = - 3.0484

4

15
Appendix A. (Continued)

(b) Third virial coefficient . Temperatures less than 55 K [2]:

RTC = C,T^ + C-T + + /T + C^/T^ + C, /T^ (lb)

1 Z J 4 b D

Two sets of parameters were used

T<T T <T<55

c c

^1 1. 054 1776 X 10

=

1 . 697 1294 X lo'

-1. 659 7141 X 10^ -5, 085 4223 X

^3 1. 043 1411 X 10^ 6. 728 41 18 X 10^

-3. 253 8718 X -3. 804 5171 X 10^

5. 140 5848 X lo" 1. 078 9413 X lo"

^6 -3. 312 3453 X -1. 151 5642 X

10^2

Temperatures between 55 and 100 K [2]:

RTC = (2b)

with

- 388,682

=: 45.5

= 0.60

= 20.0

4

= 4.0

5

16
Appendix A. (Continued)

For temperatures greater than 100 K [8]:

C = C^x 1/2

1 + C^x- 1 - e

(1 - x' ) (3b)

with

X = 20.615/T

= 1310.5

2. 1486

17
Appendix B. Fixed Points and Phase Equilibrium Boundaries Used

for parahydrogen, taken from reference [2]

(a) Triple point:

0.0704 bar

13,803 K

38.21 molZ-L

1.01325 bar

20.268 K

35. 11 molll

0.6636 molll

(c) Critical point:

P = 12.928 bar

c T = 32.976 K c

p = 15.59 molZ-t

c Note: More recent data indicate that the true critical

temperature is probably closer to 32.93 K.

See ref. [12]. However, that value was not

used here pending further verification.

(d) Melting pressures: in atmospheres

P = P^ + (T - T^)

30. 3312

0.6667

5.693

18

^t

^t

(liquid)

(b) Normal boiling point:

(liquid)

(gas)

+

A
Appendix B. (Continued)

(e) Liquid-vapor coexistence densities:

3

liquid, density in mol/cm ,

p sat ^ = D +A, (AT)* +A (AT) + A (AT) +A (AT) +A (AT)

A : 1

- 71 a 323 46 03 1 0

-3

^2 == -4. 407 4261 X 10

-4

^3 ^= 6. 620 7946 X 10

-4

^4 =- -2. 922 6363 X 10

-4

^5 = 4. 008 4907 X 10

-5

AT --= T - T

vapor T ^ T ^T , density in mol/cm

b c

p sat G = p + A^ (AT)°'^^° + A^ (AT) + A, (AT)^-'^ + A^ (AT)°-^

C i C 5 4- A = -7. 196 7724 x lO"^

-3

A^ = 1.449 5527 x 10

^3 = 3. 240 3120 x lO'^

A, = -4.464 0177 x lO"^

4

Saturated vapor densities for temperatures below the normal

boiling point are calculated using equation (1) in the text and the vapor

pressure equation below:

19
Appendix B. (Continued)

(f) Vapor pressure: in atmospheres, for T ^29 K,

= 2.000 620

= -50.09 708

A^ = 1.0044

A^ = 1. 748 495 x lO"^

for T >29K,

P = P + A^ (T - 29)^ + A, (T -29)^ + A^ (T-29)^

a D D 7

A, = 1. 317 X

10"^

5

A. = -5. 926 X

10"^

6

A^ = 3. 913 X lO"^

20
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o

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CVJ o o oI

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23
o

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a; CO AT at ni bC u ^ •1-1 0) XI

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• H

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(U M-)

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dX9 d/( '''-1 * d- 0)001

24
25
26
TABLE I. EXPERIMENTAL PVT DATA FOR PARAHYDROGEN

.

1 npu' c MTri 1 T1 T 1 O A o DO P c; ci IDC DENSITY nirFCDFM/*F U 1 r r t IaC FNV. C.

1/Iv RAP D M r\ MOL/L DK FC DK r^ Fu M T' t At-" X U I. 30 ? 0 ^ OOft yy^ X ^ ^. RQS O 7 "^A 3 O -QQA • 7 7 * a 7 On "a 0.0?

60 59,999 "^as . S7 Q A • 7 A 7 A . 77ft w . w J O J AS OO O /i P A Q O A 36,735 36,744 0 0 9

i U 70 7n onn ZlAO 7 fl^. 1 f # O H i 36,705 36,709 0W 0 1 . U X 106 75 74,994 508.000 "a A . A7 7 a9 AO . A 7 "a . D '9 -0.01

107 80 79,991 547,680 •a A • A A 9 •at. J O . AO AO*T -0.02

J. u o R4 • OQ 7 S P. A . R n Q ^A • A9 9 "aJ AO . AO ft . D w o — 0 .04

QO A 9 S . /i Q 0 aA . so A •a9 AO .• s9 ftO O ^ -0.04

70 1 3 -** ^S. 01 1 J? ^ • ^ X X X X D . M" O *+ "a A . A A s "a9 AH . A 7 fl . O 1 O 0 . 0 A

9 n ? <1 u ^ 7'S f ^ , 7 " H AH 1X Q7 . S R 1 . 9 O X•a A • AO "a "a9HA . A 1 "a . H X 9 0 0 7

flO 7Q QQ 1

f 7 , 7 7 X

/i SI? ^*+ . Q7*+A. O7 a A "a 7 A A flO 0 0 1 ^ V •+ R 0*T R4 •, QQ7 7 7I /j. '+ ftO Q7 «. Q7 nU AD a A » "a 0 a9 A*f -• "a9 Af Q7 -0.00

^9 O'J 3 00 QO - 0 1

0

s 9/i . A

n

34.325 34.319 -0 .09

9 n A <I U O s-5 s9flO . OR nU o7 34.301 34.297 — 0 0 1 207 100 100,010 592. 5?

8

a A 9 7 R a A 9 7 o -0.02

208 no 109,998 658.70? It, o o n 34 •<£ B*-' OA O 1 Q 9 4 . Z X o -0.03

o o 11

1 Q O Q O X 7 , y O V 7 9 O Q /i 35HA .1X HO 71 a A 17 1 9 H . X f X n o

^ i U

1 9 O Q fl 7 X 7 , 7 o 1 1 Ob »o I d•aJ A1 . IAS X 9 a A 1 9 fl 9 . X ^ O — nU . onVJ 9

X 0 J U , V/ L' O 1 O 7 "JAR "a A - 'a o 0 "a A - "an 9 9 D « 9 U <i 0.01 U . U X o 9 .3 U ^ AO SQ13 7 .,777 QQQ ^AO • A 7S a A . o 7 s a9 Ao •• OU flO AO 0-07

J U J AS AS noo ^00 . 7 7 a "a A _ fl A A •a9 AO •. 0^ s9 9^ 0-09

^O /i 70 70 OOO A/±n H H u 9 A 9 . O

a A Ota a A o 1 fl 9 D • w X C 0 0 1 7 O <=! J U 3 7^ f H , 7 7 H /i.7Q • 1 R 9 "a9

c:9

.• Q7 O

Q Aoat; 9 9

-• OAS 70 9 -0 ,00

3 U O 7Q Q O 1/ 7 , V 7 X S 1 7 /i fl 9 35.959 35.951 — n o 9

Q A Q O 7 S S S 1 A O 35.<»32 35.921 _o O

7

— U , U 9 308 90 90,010 592.845 as Q n 7 9 9.7') ( Q C Q O A 9 9. O 7H -0,04

309 95 95,013 629.738 la Q o 9 9 9 . 3 n ^

O C Q A C; T 9 . O O 9 -0.05

1 r> J IV I U U , L' J '

' AAA 1 A R ? R R c; R 9 9 . O 9 O OK fl 7 O — O OA

ail 3 1 X X

1 1X 0u 1 O Q Q a fl X U 7 , V 7 o 7 a 7 c; Q o ID 1 ,970 "a9S9•• ROO w Q7 "a9 9 .• 7lotfl 7 — 0 OA

/in HU 1X J u 7 r> on fl An OQ 9 7 9 9 19 7 9 9n 7 — O 0 9 40? o ^ 7Q - QQ

1

7 9 . "a 9 A J 1X .006 • 7 W U 1 . 00 Q 0.01

*T J 85 ft4 U *+ ., QQ7 7 7/ 40^.04? ^ X • vJ U ^ 3 1.881 -0.00

4n4 Q n n 1 n A"? ^ _? aJ , A 1X Q7 31-'X • flU S 8w 1 . a S6 -0— U 0 1 . VJ X 40 QS 0 1 4A ? • 4n q-J 1 ^ Q a A 1 % O D yj -/ X • O »

' -0 . 0 ?

X I H Inn n 1

n

X ' M 1 , ^ X M 4Q9 • RAQ 3 i • O i D 1X -% 7QQ 1 " 7 — 0 .04

A n 7 Tin 1X nU Q7 Q Q R , 7 7 o SSI 9 9 X , 197 I ^ ' -J X • ' O 1 '^^ .751 — 0 0 s AH n R 'J O 1 9n X

1 1X Q7 , Q7 flC Q^ A O R 9 n n 31.727 31.708 — n OA

1 9 Q Q R 7 O O '4 , ^ H 31 .688 31.671 — 0 OS

410 140 139,9'?? 71Q,?S7 31 .651 31 .64? -0,03

411 150 150,000 773,207 31.614 31 .614 -0,00

412 160 160.010 825,783 31.578 31.577 -0,00

27
TABLE I. EXPERIMENTAL PVT

IDENT T TlQ6a PRESSURE

K K RAR

501 40 40.015 82.956

502 90 90.010 366.450

503 95 95.013 392.967

504 ion 100.010 419. 152

505 110 109.998 470.697

506 120 119.989 521.223

507 130 129.987 570.855

508 140 13 9.992 619.73 1 509 150 150.000 667. 7R3

sin ID'. 1 An n 1

0

' X . i. 1

* 511 170 1 70.019 761 .553

512 180 180.027 307.236

601 80 79.991 241.430

602 120 119.989 413.023

6\J 0\J ^3 140 139.992 49Zf .4 56

604 160 160.010 573.555

605 180 180.027 650.750

70 1 28 28.007 204 . "^66

702 44 44.015 367,958

703 46 46.015 388.035

704 48 48.014 407.974

705 50 50.013 427.847

706 55 55.007 477.063

707 60 59.999 525.5^7

708 65 65.000 573.466

709 70 70.000 6 2 0.656

710 75 74 .094 667.09?

711 80 79.991 1 ] ? ft 3 9

712 85 84.997 758.108

713 90 90.010 802 .792

80 1 28 28.007 186 .982

802 44 44.015 347.3 1 a 803 46 46.015 366.981

804 48 4 8.014 386.541

805 50 50.013 406.032

806 55 55.007 454. 141

807 60 59.999 501.635

808 65 65.000 548.547

809 70 70.000 594. 70 1 810 75 74.994 640 . 100

811 80 79.991 684 .95 1 812 85 84 .997 729. ?51

813 90 oo.Oin 773.070

8 ] 4 Q5 9 5.013 816.135

FOR PARAHYDROGEN.

DENSITY DIFFERENCE

MOL/L PERCENT

FXP CALC

29.917 29.921 0.01

29.659 29,675 0.06

29.638 29.652 0.05

29.617 29.626 0.03

29.575 29.575 0,00

29.536 29.527 -0.03

29.500 29.483 -0.06

7 Q7 - A ^it • H O H *i 7 . H H ^ 29.429 29.404 -0.08

29.396 29.369 -0.09

29.363 29.332 -0.10

2 9.330 29.298 -0.11

7 A • 40 8 c.9 AO .• A^ 11 c.P 0 . 0 1 26.254 26.257 0.01

26. 186 26. 177 -0.03

26.121 26.103 -0.07

26.058 26.040 -0.07

40.265 40.271 0.01

40.121 40.136 0.04

40.105 40. 1 18 0.03

40.089 40.099 0.03

4 0.0 74 40.082 0.02

40.036 40.039 0.01

40.001 39.999 -0.01

39.967 39.973 0.01

"5 0 Q '2 /i -3 Q Q -a 7 o n T 39.903 39.901 -0.00

39.873 39.867 -0.02

39.844 39.837 -0.02

39.816 39.812 -0.01

39.78 1 39.785 0.01

39,637 39.652 0.04

39.620 39.635 0.04

39,605 39.619 0.04

39,58^ 39.60^ 0.04

39.553 39.561 0.02

39.517 39.521 0.01

39.483 39.483 -0.00

39.451 39.445 -0.01

39.420 39.408 -0.03

39.3^1 3P. 374 -0.04

39.362 39.344 -0.05

39,334 39.319 -0.04

39. 307 39.295 -0.03

28
TABLE I. EXPERIMENTAL PVT DATA FOR PARAHYDROGEN

.

IDENT T T 1 968 PRFSSIJRF 1 r\ L. »J ^ rv \ DENSITY n T FFFRFMrF

RAR L) " rv MOL/L PFPTPNT n ll r\ \- C 1^ 1 FXP |_ \_ 901 30 30. 008 1 98 . ft5ft 39.526 39.526 0,00

902 48 48,014 376. 42P 39.3 70 39.381 0.03

903 50 50,013 395.78 3 39.355 39.366 0.03

904 55 55 ,007 443.515 39.31

7

39.326 0.02

9n 5 60 59 . 999 490 .594 39.282 "^^ ^787 0.01

906 65 65 • 000 53 7.024 39.248 39.249 0.00

907 70 70 . 000 582.834 39.216 39.214 -0.00

908 75 74 , 994 627.959 39,185 39. 178 -0.07

909 80 79,991 672.326 39.155 39,144 -0.03

910 85 84,997 716.248 39,126 39.115 -0.03

911 90 90,010 759.688 39 .099 39.092 -0.07

912 95 95,013 802.405 39.0 72 39.071 -0.00

Ion 1 24 24 . 008 X C ^ # c o . "^Q * 1 ftft 39 157 -0 02

76 ? ft - on 7 1 * c\r\L 39.146 39.141

1 no ?nJ 'J 3 V.J • 'J v_/ o 1 O *T • M- r ^ 39.107 39.108 0 - no 1004 34 34,010 223.862 39.069 39.076 0.02

1005 50 50,013 378.367 38.936 38.951 0.04

1006 55 55,007 425. 28'! 38.899 38.911 0,03

1007 60 59,999 471.557 38 .864 38.872 0,02

1101 32 32,008 95.319 34.871 34.868 -0,01

1102 50 50,013 238.891 34 .727 34.745 0.05

1103 70 70,000 389.473 34.597 34.618 0.06

1104 75 74,9Q4 425.71? 34.56 8 34.586 0.05

1105 85 84,997 496.795 34.513 34.524 0.03

1106 90 90,010 531.718 34.437 34.497 0.03

1107 95 95,013 566.091 34.462 34.468 0.02

1108 100 100,01*^ 600. 086 34,437 34 , 440 0.01

1109 110 109,998 666.875 34.390 34.390 -0.00

1110 120 119,989 732. 18P 34.345 34.345 0.00

1201 50 50,013 89.657 24.862 24.86 5 0.01

1202 60 59 ,999 131 .441 24.817 24.82 3 0.02

1203 1 no 1 on - m n 291 . 1 09 24.660 24.681 0,08

1 ? 04 110 1 09 . Q9ft t. ~ • 1

" J 24.625 24.640 0.06

120 5 120 1 19,989 3 6 6 • ft 5 ^» 24,592 24.598 0.03

1206 130 129,987 403.570 24.560 24.560 -0.00

1207 150 150.000 475.897 24.497 24.488 -0.04

1208 170 170.019 546.394 24.437 24.422 -0.06

29
TABLE I. EXPERIMENTAL PVT DATA FOR PARAHYDROGEN

.

IDENT T T1968 PRESSURE DENSITY DIFFERENCE

K BAR MOL/L PERCENT

EXP CALC

1301 32 32 , 008 59.937 32.596 32. 586 -0.03

1 302 75 74 ,994 352.60? 32.311 32.33? 0.07

1303 80 79.991 384.45 1 32.284 32.306 0.07

1304 85 84.997 41 5 .894 32.259 32 .280 0.06

1305 90 90.010 446 .920 32.234 32.253 0,06

1306 95 95.013 477.572 32.210 32.227 0.05

1307 100 100.010 507.845 32.186 32.201 0.05

1308 110 109.998 567. 328 32.141 32.151 0.03

1309 120 119.989 625.492 32. 100 32. 106 0.02

1310 130 129.987 682.57? 32.058 32.066 0.03

1311 140 139,992 738.622 32.019 32.037 0,05

1312 150 150.000 79?. 5?8 31 .980 32 .007 0,08

1401 30 30. 008 58 .3 5P 33,620 33 .598 -0,07

1402 50 50.013 207.837 33.463 33.463 -0,00

1403 75 74.994 382.639 33.308 33.313 0,02

1404 80 79.991 416.178 33.282 33,285 0,01

1405 85 84.997 449.3 1

1

33.255 33 .258 0,01

1406 90 90.010 482.028 33.230 33.231 0,00

1407 95 95.013 514.302 33.205 33.204 -0,00

1408 100 100.010 546. 197 33.181 33.178 -0.01

1409 110 109.998 608.714 33.136 33,125 -0.03

1410 120 119.989 669.997 33 .092 33.08 3 -0.03

1411 130 129.987 729.976 33.049 33.042 -0.02

150 1 40 40.015 88.84 2 30.459 30.452 -0.02

1502 90 90.010 381.41? 30.184 30. 199 0.05

1503 95 95.013 408 . 790 30.161 30. 176 0.05

1504 100 100.010 435 .752 30.140 30. 149 0.03

1505 110 109.998 488.889 30.098 30.099 0.00

1506 120 119.989 540.928 30.057 30.051 -0.02

1507 130 129.987 592.07? 30.018 30.007 -0.04

1508 140 139.992 642.361 29.980 29. 968 -0.04

1509 150 150.000 691 .791 29.944 29.930 -0.05

1601 40 40.015 108.3^7 31.952 31.954 0.00

1602 85 84 . 997 ^97.??"' 31.685 ? 1.697 0.04

1603 90 90.010 427. ?o2 31.660 31.671 0.04

1604 95 95.013 456.954 31 .637 31.644 0.02

1605 100 100,010 486.2^8 31.614 31.619 0.02

1606 110 109,998 543.922 31.570 31.568 -0.01

1607 120 119,989 600.41

1

31.528 31.525 -0.01

30
TABLE I. EXPERIMENTAL PVT DATA FOR PARAHYDROGEN.

IDENT T T1968 PRESSURE DENSITY DIFFERENCE

K K BAR MOL/L PERCENT

EXP calc

1701 40 40.015 103. nn? 31 ,570 31 ,576 0,02

1702 85 84.997 385.634 31 , 306 31,322 0,05

1703 90 90.010 4 1 5 . 1 40 31,281 31 ,299 0,06

1704 95 95,013 444. 2 1

5

31,258 31,273 0,05

170? 100 100.010 472.905 31,235 31 ,246 0,04

1706 110 109,998 529,322 31,191 31, 194 0,01

1707 120 119,989 584, 64r 31,149 31, 148 -0,00

1708 130 129,987 638,928 31 ,109 31,107 -0,01

1709 140 139,992 692 ,286 31,070 31,074 0,01

1801 40 40,015 68,910 28,426 28,425 -0,00

1802 90 90,010 327,437 28,170 28,195 0,09

1803 95 95,013 351 ,749 28,149 28, 174 0,09

1804 100 100,010 375,753 28,128 28, 150 0,08

1805 110 109,998 423,038 28,088 28,102 0,05

1806 120 119,989 469,466 28,050 28,055 0,02

1807 130 129,987 515,060 28,0 13 28,009 -0,02

1901 24 24,008 278.691 43,021 42.998 -0,05

1902 32 32 ,003 368,296 42 .945 42.936 -0,02

1903 33 33,009 379,592 42.935 42.92Q -0,01

1904 34 34,010 390.784 42.926 42.919 -0,02

1905 35 35,011 402.045 42.917 42.912 -0,01

1906 36 36.012 413.308 42.909 42.904 -0,01

1907 37 37,013 424.501 42 .900 42.895 -0,01

1908 38 38.014 435 .729 42.891 42.887 -0,01

1909 39 39.015 446.957 42.883 42.879 -0,01

1910 40 40.015 458,150 42 .874 42,871 -0,01

1911 42 42.016 480,504 42.858 42.855 -0.01

1912 44 44.015 502,720 42.841 42,838 -0,01

1913 46 46.015 524,588 42.825 42,816 -0.02

1914 48 48.014 546,840 42 .810 42.803 -0.02

191 5 50 50.0]

3

563, 0!^ 42.794 42.78':' -0.01

1916 55 ^5.007 623,6'^9 42.757 42.755 -0.01

1917 60 59.999 677,705 42.721 42.721 0.00

1918 65 65.000 731,138 42.688 42.692 0.01

1919 70 70.000 783,712 42.655 42.664 0.02

31
TABLE I. EXPERIMENTAL PVT DATA FOR PARAHYDROGEN

.

T DFNT J T 1 Q A P T I \ —'\j DENSITY n T FFFRFNTF

1/K RAD D M rC MOL/L KV_t IN 1 EXP C ALC

^ U U i c. -J ^ -> • UU " a 1 p AO ft /, O Q Q Q WX ft 7A — 0 OS

<lP4^ C.*^ 74-00 % \J ^ 8\J ? 4 - 0 A ? 4H- ^ .,

flO ftO RO /. "J ft A Q — 0 - 04

? - on 7 4f) . 9 2 8 4"^ • fl AP 4"^ . flS4 — 0 - 04

t. W "T 28 2 8 • 00 7 369.863 4"^ . R so 4^^ . fl 7 -0 . 0 3

2005 30 30,008 392 .936 4"^ R^ 2 4"^ - R? 1 -0.03

3 1 3-J 1.X % 00\J\J 8^ 404 . 5 07 4"^ fl?2 4"^ R 1 3 -0.02

32 3 2, 008 4 1 6 - O 78 /H

-2 P 1 a J , O 1 J A.M-

'5 Pr> S 5 . of; V

3 3 33 • 009 4 P O S Ix'X TOT -0 02

J) "-r ^4.01

0

" -> 7 • ^1 £- ^ 4"^ . 7QA 4"^ . 7flQ -0.02

n p A 7 # O O 4 7 R 7 4"? 7ft ? — 0 0

1

^?nU 11 1i. 6 -J D W J. ^

4"^ - 77Q 4'^ . 7

7

2012 3 7 3 7,013 474 . 00 7 43.770 43 « 76ft -0.01

2013 38 38,014 485 .580 43.761 43,758 -0,01

2014 39 39,015 497*152 43.75 3 43,750 -0,01

2015 42 42,016 53 1 • 729 43.72 8 4? . 72 7 -0,00

20 1 5 40 40,015 508 .686 43 . 74 5 43-742 -0.01

2017 44 44,015 554 . 704 43 .712 4*^ .71? -0,00

2018 46 46,015 5 7 7 , f)(-)0 43.697 43 .697 -0,00

2019 48 48,014 6 0 0 . 4 0 F 43.681 43.682 0,00

2020 50 50,013 623,142 43,666 43.66 7 0,00

2021 55 55,007 679,500 43,629 43.632 0,01

2o22 60 59^999 735,171 43 ,594 43,599 0,01

202 3 65 65.000 790,154 43,5 60 43,569 0.02'

2101 24 24 ,008 225,819 41,882 41 ,865 -0 .04

2102 26 26 , 00 7 247,336 41,863 41.851 -0.03

2104 34 34,010 3 34,042 41 ,788 41 .789 0.00

2105 36 36,012 355,737 41,770 41.773 0.01

2106 38 38,014 377,398 41.752 41.757 0.01

2107 40 40,015 398,95 6 41 ,73 5 4 1 , 74

1

0.01

2108 42 42,016 420.478 41.718 " X • 1 X ^ 41.725 0.02

2109 44 44,015 441,832 41 * 70? 41- 707 0 .0 1 2110 46 46,015 46 3 . 1 8 S H- 1 • O O O £l ^ AO 1 0.01

2111 48 48,014 484,398 £xl A 7^ 0.01

? 1 T 2 ^0 SO 01 SOS . S4 S 41,655 41 ,659 0-01

C. X X J ^ 5

c, R 7 PAS 41 ,61

8

41,619 0 .00

2114 60 59,9'^9 609,567 41,582 41,583 0.00

2115 65 65.000 660, 61f 41 ,548 41.549 0.00

2116 70 70.000 711,014 41,515 41.520 0.01

32
TABLE I. EXPERIMENTAL PVT DATA FOR PARAHYDROGEN

.

IDENT T T1968 PRESSURE DENSI TY DIFFERENCE

K K BAR MOL/L PERCENT

EXP CALC

2201 30 30.008 157.922 38.255 38.258 0.01

2202 40 40.015 252,794 38. 164 38,188 0.06

2203 55 55,007 390,663 38.047 38.078 0.08

2204 60 59.999 435.320 38.013 38,041 0.07

2205 65 65,000 479,370 37.979 38.005 0.07

2206 70 70,000 524,833 37.946 38,015 0.18

2207 75 74,994 565,476 7 Q "3 A J f , V J D 0.05

2208 80 79,991 607,601 37.887 37,903 0.04

O J Q /, Q Q 7 0 H V , ^ M- 5 37.859 37,875 nU n A , U M- 2210 90 90,010 690,340 37.832 37,849 0,04

2211 95 95,013 730,35? 37.805 37,825 0,05

2301 60 59,999 141,529 25.729 25.738 0.03

2302 90 90,010 270,164 25.602 25 .635 0.13

2303 110 109,998 351,804 25.528 25.554 0.10

2305 130 129,987 430,771 25.459 25.474 0.06

2306 140 139,992 469.379 25.426 25.437 0.04

2307 150 150. 000 507.40? 25.394 25.400 0.02

2308 160 160,010 54A.981 25.362 25.365 0.01

2309 170 170.019 582.008 ^5.331 <i 5 . 3 3 1 -0.00

2310 180 180.02 7 618.659 25.301 25.300 -0.00

i vu 25.271 25.270 — nu . nu nu 2312 200 200, 03^ 690.^^17 25.241 25.242 0.00

2313 220 220,030 760.801 25. 184 25.191 0.03

2402 110 109,998 293.108 23.035 23.051 0.07

2403 120 1 19,989 326.842 23.004 23.015 0.05

2404 130 129,987 360. 140 22.973 22.981 0.04

2405 140 139,992 392.995 22.943 22.948 0.02

2406 150 150,000 4 2 5.403 22.914 22.915 0.00

2407 160 160,010 457.43^ 22.885 22.884 -0.01

2408 180 IPO. 027 520,362 22 .828 22.822 -0.02

2409 190 190.032 551,291 22.800 22.793 -0.03

2410 200 200.035 581 ,946 22.773 22.766 -0.03

2411 220 220. 030 642,195 22.720 22.71? -0.03

2412 240 240.020 701 ,378 22 .666 22.665 -0.01

2413 260 2 60.00 8 759,220 22.615 22.616 0.00

/

33
TABLE I. EXPERIMENTAL PVT DATA FOR PARAHYDROGEN

.

IDENT T T1968 PRESSURE DENSITY DIFFERENCE

K K BAR MOL/L PERCENT

EXP CALC

2501 75 74,994 218,132 26,356 26.376 0.08

2502 90 90,010 284,399 26.293 26.322 0.11

2503 110 109,998 369,686 26.217 26.238 0.08

2504 120 119,989 411, 18f 26. 181 26.195 0.05

2505 130 129,987 452.061 26.147 26.154 0.03

2506 140 139,992 492.322 26.113 26.115 0.01

2507 150 150,000 531 .966 26.080 26.077 -O.Ol

2508 160 160,010 571.131 7 A . nZi fl ^9 AD - OZl 1 • M- 1 -0.03

2509 170 170,019 609.744 26.016 26.007 -0,04

t i VJ 1 ftn 07 7 647 • flRn 25.985 25.978 — 0 0'^ 2511 190 190,032 685.499 25.955 25.947 -0,03

2512 200 200,035 722.705 25.925 25.918 -0,03

2601 90 90,010 156.817 18.359 18.369 0,05

2602 110 100,998 205.359 18.308 18.322 0,08

2603 120 119,989 229.174 18.284 18.297 0,07

2604 130 129,987 252.750 18.259 18.273 0,07

2605 140 139,992 276.062 18.236 18.248 0,07

2606 150 150,000 299. 141 18.212 18.223 0,06

2607 160 160.010 321.972 18.189 18.198 0,05

2608 170 170,019 344.632 18. 167 18.175 0,05

2609 180 180,027 367.002 18. 144 18.150 0,03

2610 190 190,032 389.217 18.122 18.125 0,02

2611 200 200,035 411.235 18.100 18. 101 0,01

2612 240 240,020 497.406 i. B . U 1 J IP nn fl -0,03

2613 260 260,008 539.599 17.969 17.968 -0,01

^ O J. H <1 o u

o t n on ft -J J 7 . 1 Da 17.972 17.971 — n m

2615 280 279,997 581.278 17.929 17.931 0,01

2616 300 299,992 622.235 17.885 17.892 0,04

2701 90 90,010 148.812 17.700 17.689 -0,06

2702 110 109,998 194,81

1

17.651 17.650 -0,01

2703 120 119,989 217,364 17.628 17.626 -0,01

2704 130 129,987 239,653 17.605 17.600 -0,03

2705 140 139,992 261 ,781 17.582 17.578 -0,02

2706 150 150,000 283,773 17.560 17.559 -0,00

2707 160 160.010 305,502 17.538 17.538 -0.00

2708 170 170,019 327,037 17.516 17.517 0.00

2 709 180 180.027 348,330 17.494 17.493 -0.01

2710 190 190.032 369,429 17.473 17.469 -0.02

2711 200 200.035 390,357 17.452 17.447 -0.03

2712 220 220.030 431.688 17.409 17.402 -0.04

2713 220 220.030 431 .788 17.409 17.405 -0.02

2714 240 240.020 472 .475 17.368 17.362 -0.03

2715 260 260.008 512.554 17.326 17.321 -0.03

2716 280 279,997 552.092 17.285 17.282 -0,02

2717 300 299,992 5 9 ] , 1 1 o 17.243 17.245 0.01

34
TABLE I. EXPERIMENTAL PVT DATA FOR PARAHYDROGEN

.

IDENT T T1968 PRESSURE DENSITY D IFFERENCE

K K BAR MOL/L PERCENT

EXP CALC

2801 90 90.010 125.090 15.492 15.506 0.09

2802 110 109.998 163.128 15.451 15.468 0.11

2803 120 119.989 181 .823 15.431 15.444 0.09

2804 130 129.987 200.324 15.411 15.420 0.06

2805 140 139,992 218.687 15.391 15.399 0.05

2806 150 150.000 236.887 15.372 15.377 0,03

2807 160 160.010 254.928 15.353 15.356 0,02

2808 170 170,019 272.833 15.334 15.336 0,01

2809 180 180,027 290.588 15.315 15.316 0,00

2810 190 190,032 308.184 15.296 15.295 -0.01

2811 200 200.035 3 2 5.630 15.278 15.274 -0.02

2812 220 220,030 360.177 15.241 15.236 -0,03

2813 240 240.020 394.200 15.204 15.199 -0,04

2814 260 260 ,003 427.862 15.167 15. 166 -0.01

2815 280 279.997 461.046 15.130 15.134 0.03

2816 300 299.992 493 .856 15 .004 15.105 0.07

290 1 110 109,998 123.395 12.334 12.342 0.06

2902 120 119, 989 137.165 12.319 12.321 0.01

2903 130 129,987 150.861 12.303 12.302 -0.00

2904 140 139,992 164.465 12.288 12.285 -0.02

2905 150 150,000 177.996 12 .273 12.270 -0.02

2906 160 160,010 191.354 12.257 12.252 -O.O4

2907 170 170,019 204 ,668 12.242 12.236 -0.05

2908 180 180,027 217.866 12.227 12.219 -0.06

2909 190 190 , 332 230,9^6 12.212 12.205 -0.06

2910 200 200,03 5 243,995 12.197 12.188 -0,07

2911 220 220 . 030 269.775 12 . 167 12.158 -0.07

2912 240 240.020 295.275 12.137 12.132 -0 .04

2913 260 260.00 9 320.391 12.107 12.105 -0.02

2914 280 279,997 345.310 12.077 12.082 0.04

291 5 300 299.992 369 .93 1 12.047 12.061 0.11

3001 120 1 1<5 . 98 9 108 .442 10.063 10,065 0.02

3002 130 129.987 1 19.0A^ 10.051 10,051 0,00

3003 140 139.992 129.535 10.039 10,035 -0,04

3004 150 150,000 139,977 10.026 10,021 -0.05

3005 160 160,010 150.362 10.014 10.008 -0.06

3006 170 170.019 160.668 10.002 9.905 -0.07

3007 180 180,027 170.906 9.989 9,981 -0.08

3008 190 190.032 181.086 9.977 9,969 -0.08

3009 200 200 , 03 5 191.208 9,964 9,956 -0.08

30 10 220 220,030 211.270 9,940 9,932 -0.08

3011 240 240.020 231.147 9,916 9,911 -O.O5

3012 260 260.008 250.762 9.891 9,890 -O.Ol

3013 280 279.997 270.209 9,866 9.871 0.05

3014 300 299.992 289, "^09 9,84 1 9,855 0.14

35
TABLE I. EXPERIMENTAL PVT DATA FOR PARAHYDROGEN

.

IDENT T T1968 PRESSURE DENSITY DIFFERENCE

K K BAR MOL/L PERCENT

EXP CALC

3101 90 90,010 194,700 21,223 21,235 0,06

3102 110 109.998 255.139 21.163 21.175 0,06

3103 120 119.989 284,741 21,134 21.145 0,05

3104 130 129.987 313,941 21,106 21.114 0,04

3105 140 139.992 342.799 21,078 21.084 0,03

3106 150 150.000 371 .346 21,051 21.055 0,02

3107 160 160.010 399.551 21 ,025 21.027 0,01

3108 170 170.019 427.447 20,999 20.999 0,00

3109 180 180.027 455.033 20,974 20.971 -0,01

3110 190 190.032 482.285 20,949 20.942 -0.03

3111 200 200.035 509,356 20,924 2C.917 -0.04

3112 220 220.030 562,623 20, 874 20 . 864 -0.05

3113 240 240.020 614,990 20.826 20.817 -0.04

3114 26u 260

.

uU

o

000,444 20,777 20.771 -0.U3

3115 280 279.997 717.092 20,729 20,730 0.00

3116 300 299.992 766,252 20,680 20.678 -0,01

1 300 299.992 110.696 4.160 4,164 0.09

36
TABLE II

T = 17

1.7927586453+006

T = 18

li5031197572+007

6,4214968758+012

T = 19

-1.1392285021+006

-8.1884732011+011

T = 20

-8.9024745380+007

-2.0113758594+014

T = 21

-1.5722719776+006

-3.3294287572+012

T = 22

-6.2220964791+006

-1.4701306157+013

T = 23

1.1938646749+007

2.8440149149+013

T = 24

-2.3878490330+005

-1.2142525399+014

-3.8860226726+018

T = 25

1.9101085827+007

6.4844143415+015

8.0936167398+019

T = 26

-2.1530400926+005

-2.3982606455+013

-1.3625971008+018

T = 27

6.3601655201+006

1.6073005389+015

2.0849174834+019

. PARAMETERS USED I P IN ATMOSPHERES,

-1.5192441462+008

-1.5512871509+009

1.2356609580+008

1.1556129859+010

1.0388479790+015

1.9651870236+008

1 .5784513601 + 013

8,1215152736+008

7.5808848429+013

-1.5789479208+009

-1.4958283915+014

3.0395018355+007

4.2564284763+015

-1.3258059406+010

-1.6611547693+017

5.6158308351+006

1.0294067329+015

-3.4433188539+009

-4.1465379553+016

EQUATIONS ( 2 ) » WITH

IN M0L/CM3,

3.8076380874+009

5.9237216873+010

-5.7620943087+009

-6.0013225905+011

-1.0575412034+010

-4.3140892647+010

8.2547745700+010

-1.3734369824+010

-8.4197211599+016

2.0705538414+012

2.5633271853+018

-1.2726310972+009

-2.3633418379+016

5.1608398468+011

6.4586567057+017

-2.8011219719+010

-1.0027960622+012

1.1774618892+011

1.5555518278+013

2.7455063588+011

1.1354740706+012

-2.1610303925+012

1.8909616802+012

8.8715230634+017

-1.5338042955+014

-2.2002900684+019

2.7828310003+011

2.8068341347+017

-3.7921435957+013

-5.6034492132+018

37
TABLE II. PARAMETERS USED IN EQUATIONS WITH

P IN ATMOSPHERES. IN MOL/CM^.

T = 28

2.0595703167+005 4.5182352997+006 -6.8612022421+008 1.7592192748+011

1.6152013770+013 7.1802377310+014 -1.6868583740+016 2.0429300583+017

1.0112661614+018

T = 29

1.3428110367+007

2.7579075595+015

4.4448339829+019

5.6575732735+009

7.4796689348+016

•8.2947559839+011

1.2297564767+018

6.2421479049+013

1.1284301969+019

T = 30

2.0017952378+005

4.8294203363+012

2.5469426200+019

5.3964044936+006

•7.6785061024+014

2.4344222806+020

-4.2058231059+008

4.5537740208+016

9.7614646410+020

2.6939742148+010

1.4318146279+018

T = 31

1 .9516670204+005

2 .3239446305+013

4,9261084486+019

3.6574613418+006

-2.0061113068+015

-4,6663844523+020

3.7466996841+008

9.8185403161+016

1.8758074023+021

-1 .3784282679+011

2.8568579115+018

T = 32

1.9206741710+005

2 ,6458186348+013

6,5371484854+020

6.8355209137+024

4.6845686588+006

3.7166512756+015

1.5269776599+022

•3.6150845963+008

•3.2574421486+017

•2.2367832329+023

1.2104653786+011

1.8132111800+019

1*8715165426+024

T = 33

1 .8784938302+005

1.7491421424+014

1 ,3041812918+022

3,0081285610+027

2,6577854073+006

-2.8719174322+016

-4.9821628964+023

-2.1514260620+028

1.4510362165+009

3.1652595468+018

1.3400288556+025

6.8799325371+028

-6.7103915231+011

-2.4196373064+020

-2.4805831839+026

T = 34

1.8585184564+005

3.4321343187+013

4.8273615233+020

4.2943871162+024

5.5750148466+006

3.8295375311+015

1.0697128449+022

-7.6024834019+008

-2.8662841004+017

-1.5028432355+023

2.0507512304+011

1.4381045765+019

1.2137075915+024

T = 35

1.8119509449+005

8 .8885819309+012

1 .7266459572+019

3.7749485685+006

•7.4038751137+014

1 .6217236626+02n

1.9397696413+008

3.5528922435+016

6.5142512016+020

•5.7703648590+010

•1.0158372332+018

T = 36

1 ,7811391467+005

3 .8454860809+012

8, 3049534499+018

4.1182933578+006

-3.5775575669+014

-7.4389397677+019

2.4961851164+007

1.7787367946+016

2.8224550378+020

-1.8655489452+010

-5.0468821411+017

38
TABLE II. PARAMETERS USED IN EQUATIONS (?) WITH

P IN ATMOSPHERES* IN MOL/CM^.

T = 37

1.750A164625+005

1.0^^81902322+012

4.2115621654+018

4,3478341863+006

-1.5188318013+014

-3.7645346224+019

-7.8940145097+007

8.6169811247+015

1 .4349996701+020

3.7751222751+009

-2.5436161152+017

T = 38

1.7188655461+005

6.4757887779+011

1.3185365598+017

4.4164814100+006

-9.4967659665+012

4.6721412435+018

-1,2310743431+008

1.4841742662+015

-4.4688264278+019

1.5313645270+010

•3.5097239605+016

T = 39

1 .6871486896+005

5. 1049105615+010

2.5526792404+018

4.3494489187+006

-6.3993969203+013

-2.4969242889+019

-9.6149707960+007

4.4733401634+015

1.0756029041+020

9.3603784130+009

-1.4374657538+017

T = 40

1.6528799255+005

1 .1353205298+012

3.3010243575+018

4.0424879157+006

-1.2229345288+014

-3.1872436252+019

-6.4224280969+006

6.4811436791+015

1 .3536613430+020

-4.2051370364+009

-1.9139164278+017

T = 42

1.6005141176+005

5.1559965190+012

7.6922454819+018

4.7838903840+006

3.3297229502+014

8.0054237088+019

-2.9327650297+003

-1.4362689717+016

-3.5598893687+020

5. 1102200113+010

4.1737762048+017

T = 44

1.5415213997+005

1.5170646500+012

2.6782002109+016

4.5484784748+006

5.5621434507+013

•1.7363000323+008

-9.9586051707+014

2.2532145910+010

8.4-^49832218 + 015

T = 46

1 .4849319717+005

1.0266946025+012

8.2553809655+015

4.4556006236+006

3.6133000363+013

•1.3686177327+008

5.8512342722+014

1 .6333384342 + 010

4.0570803551+015

T = 48

1.4323003079+005

1 .3355258854+012

5.7512269202+016

4.6101570489+006

5,3741360391+013

1.7559747323 + 008

1. 1000290742+015

2.1142514479+010

1. 1984378664+ 016

T = 50

1.3755039297+005

8.7711843003+011

3.1619037425+016

4.4337521733+006

3.3093906556+013

1.2683328076+008

•6.3704229711+014

1.^384430007+010

6.5595795531+015

39
TABLE II. PARAMETERS USED IN EQUATIONS WITH

P IN ATMOSPHERES* IN M0L/CM3.

T = 55

1 .2444^64680+005

6,2833472919+011

3.8295182637+016

4,4263980428+006 -1.1117629197+008 1.1536268864+010

2.4237788412+013 -5.1031540831+014 6,3172360032+015

T = 60

1 .1121912936+005

1 .5493318633+012

1,0813339700+017

3.7936057214+006

-6.7845664772+013

9.6693596677+007

1.6933951450+015

1.7339142479+010

2. 1656447852+016

T = 65

9,8720106145+OOA

2.3050068184+012

1 .8848759867+017

3.7003113011+006

-1,0443828491+014

1.4986070139+008

2,6776241089+015

2.5788521979+010

3.5561177409+016

T = 70

8.8718903663+004

6.6024659429+011

5,1753661577+006 -2,0146770020+008 1.7718411591+010

1.4663058585+013 -1.2203 529654+014

T = 75

7,8025954959-k00-+

9,0042851805+011

5,6523931462+006

1 .9664936592+013

-2.6639813355+008

-1.6363534789+014

2.3447414566+010

T = 80

6.6186969522+004

8.1467914805+011

5.5655865573+006

1.7944899990+013

-2.3514178364+008

-1.5097001241+014

2. 1345811734+010

T = 85

5,4213554657+004

-6.0735692987+011

5,3107666819-»-006 -1.6977750444 + 008 1,6309382732 + 010

1.3818270020+013 -1.2 005059027+014

T = 90

4.2626080752+004

4.9336104804+011

5.2768485401+006 -1 .4350544917+003 1.4119783096+010

1 .097486962 7+013 -9,4195262066+013

T = 95

-3,2113968030+004

2.2003037414+010

5,2533557761+006 -6,78 26875035+00 7 5.04854562 31+009

T = 100

2.1222851074+004

2.2358853579+010

5,2732115183+006 -5,7074800540+007 4,8860145629+009

T = 110

3. 1412601495+003

3.2830235464+009

4.6471082519+006 2.4 531366095+007 2.3853498831+009

40
TABLE II. PARAMETERS USED IN EQUATIONS (2)» WITH

P IN ATMOSPHERES, IN M0L/Cm3.

T = 120

2 .6464489657+004

2.4430261682+010

4.2070808336+006 8,6352691620+007 4.6370803380+008

T = 130

5.2710390907+004

3.5545800087+010

3.3607590684+006 1.5809499545+003 -1.1687218877+009

T = 140

8.2889587155+004

1.0762848479+011

1,2750268682+006 3.480 5 726513+008 -7.3716422103+009

T = 150

9.9132598618+004

8,2837449894+010

2.2950896275+006 2,9170405067+008 -5.4215509909+009

T = 160

1,1224730815+005 4,1479952727+006 1,4623482040+008 3.9067965812+008

T = 170

1.3448226329+005 3.8039602304+006 1.8450776633+008 -3.3170631876+008

T = 180

1 .5862494924+005 3.0672011100+006 2.4310127954+008 -1.3859042662+009

T = 190

1.5923196446+005 6.7083029471+006 4.32 10883954+007 2.3675454063+009

T = 200

1.7980369731+005 6.5195371178+006 7,0124286979+007 1,8674921622+009

T = 220

2,0871873375+005 8.3738065048+006 -1.3391815780+007 3.5010356047+009

T = 240

2.5891748980+005 5.9776163601+006 1.6315401519+008

T = 260

2,8886298627+005 7.0503 327034+006 1 .43054823 71+00 8

T = 280

3.2088095893+005 7.8342 761934+006 1.28932 77428+008

T = 300

3.575521 1794+005 8.0856780617+006 1.2 555978890+00 3

41
TABLE III. PARAMETERS USED IN EQUATIONS (3)»WITH

P IN ATMOSPHERES* T IN KELVINS

DENSITY = 6.5

7,6666'!t28981-005

1.3723015815+003

DENSITY = 7.0

8.9392590199-005

1.5778819633+003

DENSITY = 7.5

1.0310817375-004

1 .7805277932+003

DENSITY = 8.0

1 .1698229150-004

1 .9059440030+003

DENSITY = 8.5

1.3284976883-004

2.0548102677+003

DENSITY = o.O

1 .4912593340-004

2.1381172519+003

DENSITY = 9.5

1 .6628762469-004

2. 1510413760+003

DENSITY = 10.0

1 .8406316617-004

2.0853791385+003

DENSITY = 10.

S

2.0281663628-004

1 .9482430327+003

DENSITY = 11.0

2.2166027077-004

1 .673911 ?287+003

DENSITY = 11.

S

2,4044928444-004

1 .2476121362+003

DENSITY = 17.0

2.5967662789-004

7. 1412208830+002

6.4889324389-001

7.0920300077-001

7,7113012411-001

8.3423216275-001

8,9939102824-001

9,6593136529-001

1,0340097016+000

1,1035650202+000

1 .1747759895+000

1 .2472128086+000

1 .3208187953+000

1,3959153104+000

-1.0560439364+001

-1.2219671284+001

-1.3990496075+001

-1.5796543231+001

-1.7756597363+OCl

-1.9768827828+001

-2.1839611598+001

-2.3956861843+001

-2.6133539628+001

-2,8297066602+00

1

-3.0432582623+00

-3.2579537251+001

4. 1486997680+001

4.9285316151+001

5.7339421316+001

6.1486587428+001

6.7878239674+001

7.1287047861+001

7.1752505542+001

6.8806216972+001

6.3005369257+001

5.0585120801+001

3.0675323653+001

5.7436924150+000

42
TABLE I

DENSITY = 1?.5

-2.7918357967-004

-6. 1037073737+000

DENSITY = 13.0

-2.9777461516-004

9.0049463026+002

DENSITY = 13.5

-3. 1605166459-004

1 .9832367622+003

DENSITY = 14.0

-3.3204868781-004

3.3501531897+003

DENSITY = 14.5

-3.4864900231-00^

4.85745fi^51'=+003

DENSITY = 15.0

-3.6286133800-004

6.6131573431+003

DENSITY = 15.5

-3.7652194243-004

8.5690768140+003

DENSITY = 16.0

-3.9100330874-004

1.0615910309+004

DENSITY = 16.5

-4.0694793565-004

1.2721817915+004

DENSITY = 17.0

-4.2678358720-004

1 .4737172^^71+004

DENSITY = 17.5

-4.5129002783-004

1 .662396868n+0n4

DENSITY = 18.0

-4,8092247617-004

1 .8384625906+004

. PARAMETERS USED

P IN ATMOSPHERES

1.4722853870+000

1.5495290307+000

1 .6278862572+000

1.7064927083+000

1 .7866512877+000

1.8671292494+000

1 .9486140659+000

2.0318440570+000

2.1170981 674+000

2.2055136732+000

2.2974534329+000

2 .3930439609+000

EQUATIONS (3)»WI

T IN KELVINS

-3.4680906805+001

-3.6685447966+001

-3.8613579542+001

-4.0335172103+001

-4.2014584333+001

-4,3489711873+001

-4.4825812174+001

-4.6124333611+OCl

-4,7411338208+001

-4,8837369723+001

-5.0440187644+001

-5.2209334753+001

-2.7772007371+001

-7. 1822131921+001

-1 .2525881061+002

-1.9461489701+002

-2.7143927277+002

-3.6302893837+002

-4.6639488299+002

-5.7563349879+002

-6.8915329640+002

-7.9860799256+002

-9,0187925049+002

-9,9939387760+002

43
TABLE III. PARAMETERS USED IN EQUATIONS (3)»WITH

P IN ATMOSPHERES, T IN KELVINS

DENSITY = 18.5

5.1662927605-004

1 .9895090407+004

DENSITY = IQ.O

5.6026091605-004

2 .1124027606+004

DENSITY = 19.5

6.0869367563-004

2.2208351 187+004

DENSITY = 20.0

6.6464806264-004

2.2^82552550+004

DENSITY = 20.5

7.2822975811-004

2. 3500466689+004

DENSITY = 21.0

7.9590436431-004

2.3874998505+004

DENSITY = 21.5

8 .6659371504-004

2.4212836O3B+004

DENSITY = 22.0

9.4506387180-004

2.42891157^3+004

DENSITY = 22.5

1.0254464941-003

2 .4398654675+004

DENSITY = 23.0

1. 1142088279-003

2. 4269517476+004

DENSITY = 23.5

1 .2044517637-003

2 .4224237866+004

DENSITY = 24.0

1 . 3056456005-003

2.388358]627+004

2.4929175099+000

2.5977551126+000

2.7061903277+000

2. 8195529676+000

2.9377376776+000

3.0593081485+000

3,1836726515+OOn

3.3129245139+000

3 ,4444448770+000

3.5809738506+Ono

3 .7195130539+000

3.8639972870+000

-5.4252622222+001

-5.6620537258+001

-5,9122678866+001

-6.1937710560+001

-6.5011302816+001

-6.8162965927+001

-7, 1274100484+001

-7.4611121251+001

-7.7804822046+001

-8.1193235975+001

-8.4364625867+00 1

-8,7804140092+001

-1.0844076794+003

-1, 1548393399+003

-1.2194874530+003

-1.2686550257+003

-1.3053997152+003

-1.3373241903+003

-1.3706258429+003

-1.3915502648+003

-1 .4180654901+003

-1.4332331763+003

-1 .4568058535 + 003

-1 .4648366274 + 003

44
TABLE III. PARAMETERS USED IN EQUATIONS (3)»WITH

P IN ATMOSPHERES* T IN KELVINS

DENSITY = 2A.5

1 .4118449586-003

2.3608500067+004

DENSITY = 25.0

1 .5264256169-003

2.3174332497+004

DENSITY = 25.5

1.6438495961-003

2.2766428211+004

DENSITY = 26.0

1.7674617671-003

2 .2339656459+004

DENSITY = 26.5

1.8923165270-003

2 .1966370526+004

DENSITY = 27.0

2.0311078165-003

2. 1499165614+004

DENSITY = 27.5

2.1724394000-003

2. 1085163319+004

DENSITY = 28.0

2. 3404026908-003

2.0410494137+004

DENSITY = 28.5

2.5265859246-003

1 .9717483704+004

DENSITY = 29.0

2. 7506604636-003

1 .8848416196+004

DENSITY = 7<=).<=> 3.0719684173-00'*

1 .7083226P02+004

DENSITY = 30.0

3 .3529624632-003

1 .5946552P<55+004

4.0115588186+000

4. 1638961 193+000

4.3189140826+000

4.4776596905+000

4.6385981045+000

4.8054612690+000

4.9749360987+000

5.1539588441+000

5.3395759942+000

5.5368370357+000

5,7627076342+000

5.9788901308+000

-9.1082621401+001

-9.4439672702+001

-9.7603172639+001

-1.0065892913+002

-1.0344091470+002

-1.0627787242+002

-1 .0884246334 + 002

-1.1176839755+002

-1. 1469084384+002

-1.1801840046+002

-1.2330299982+002

-1.2706382481+002

-1 .4788881030 + 003

-1 .4854592999 + 003

-1.4964420354+003

-1 . 5079973928 + 003

-1.5256288954+003

-1.5368689852+003

-1.5530231397+003

-1 . 5495435076+003

-1.5420544900+003

-1. 5161487461+003

-1 .4140666331 + 003

-1.3595079958+003

45
TABLE III. PARAMETERS USED IN EQUATIONS (^)tWlTH

P IN ATMOSPHERES* T IN KELVINS

DENSITY = 30.5

-3.6886223750-003

1 .4557620546+004

DENSITY = 31.0

-4. 1451173488-003

1.2411705580+004

DENSITY = 31.5

-4.5989647572-003

1.0735620242+004

DENSITY = 32.0

-5.0913908298-003

9. 1945146758+00'

DENSITY = 32.5

-5.4183373440-003

8.8850152588+003

DENSITY = 33.0

-5.727231374 7-003

8.8481730109+003

DENSITY = 33.5

-6.0178344832-003

8.965872] 604+003

DENSITY = 34.0

-6.2907160416-003

9.187641 143^+003

DENSITY = 34.5

-6.5910430508-003

9.2177457870+003

DENSITY = 35.0

-6.9613538388-003

8.8094985045+003

DENSITY = 35.5

-7.500301 1209-003

7.8065751133+003

DENSITY = 36.0

-8.1325053971-003

6 .463324302^+003

6.2105404644+000

6.4748422528+000

6.7381078753+000

7.0108340831+000

7.2448843864+OOn

7.4763626986+000

7.7059714334+000

7.9342801176+000

8.1722251405+000

8.4297028668+000

8 .7248357718+000

9.0417693036+000

-1.3145149633+002

-1.3787294982+002

-1.4332429298+002

-1.4865992838+002

-1 .5019535043+002

-1.5077566948+002

-1 .5050950969+002

-1.4945335898+002

-1 .4845966436+002

-1.4826905949+002

-1.4990641342+002

-1.5227573599+002

-1.2776734018+003

-1 .1220867633+003

-9.9615977609+002

-8.7048409069+002

-8.5378432591+002

-8.5592197308+002

-8.6936716044+002

-8.9018782398+002

-8.9034620468+002

-8.4592077499+002

-7. 3373888901+002

-5.8182463568+002

46
TABLE III. PARAMETERS USED IN EQUATIONS (3)»WITH

P IN ATMOSPHERES* T IN KELVINS

DENSITY = 36.5

-8.8717791259-003

^.9608079265+003

DENSITY = 37.0

-9.6788862967-003

3.3227862365+003

DENSITY = 37.5

-1.0511037493-002

1 .6142950629+003

DENSITY = 38.0

-1 .1625105121-002

-4. 14521 10643+002

DENSITY ^- 3 8.5

-1.2233295531-002

-7.4622608285+002

DENSITY = 39.0

-1.2845705646-002

-6.6609064097+002

DENSITY = 39.5

-1.3051621429-002

-1.5025754560+002

DENSITY = 40.0

-1 .3422778913-002

1. 1007715102+002

9.3798354063+OOn

9.7325335485+000

1.0093206023+001

1.0503637936+001

1.0809519817+001

1 .1107299550+001

1.1341373749+001

1.1602672392+001

-1.5505645275+002

-1.5790233941+002

-1.6046136798+002

-1 .6484889204+002

-1.6114807693+002

-1.5540630418+002

-1 .4545735257+002

-1.3600730390+002

-4.0410495824+002

-2.0575755133+002

6.5460022949+000

2.7439908482+002

3.5204600243+002

3.9174368978+002

3.6900397649+002

3.8197790412+002

47
3

Table IV. Parameters for Equation (4), for T in K and p in mol/cm ,

1. 3902 9009 18

-1. 8543 3546 54 x 10^

A^ 2. 9602 3725 60 x lo^

A, -2. 0125 2307 80 x 10^

4

A^ -1. 0175 8396 6l x lO^

5

4

A. 1 . 3356 9761 21 x 10

6

5

A^ -1. 7573 1404 86 x 10

4

A_ 7. 7488 2413 51 x 10

8

5 A -1.2636 6439 24 x 10

9

3

A^Q 2.4661 1537 96 x 10

5

A^^ -3. 1417 2527 76 x 10

6

A 2,4375 4908 01 x 10

4

A^^ -2. 0047 3646 67 x 10

A , 2. 5432 6216 67 x 10^

14

R 82.0597

48
TABLE V. THERMODYNAMIC PROPERTIES OF PARAHYOROGEN ON THE L lOU I O-V APOR BOUNOAR*

TEMPERA -TURE

OEG K

PRESSURE

BAR

MOLAR

VOLUME Cm3/g

INTERNAL

ENERGY

J/G

ENTHALPY ENTROPY

J/G J/G

SPECIFIC

HEAT CV

J /G

SPECIFIC

HEAT CP

- K

vELOcn r OF SOUND M/SEC BAR/K 3AO-cm3/G

13.803

13.803

0.070

0.070

12.98

7965. 79 -309.0 -308.9

litO. 3 '.97

37.52

'.f>7 6.216.37

10.52

126'» 306

9. ?3 0.11

1 1 72o 552

li*. 000

li«. 000 0.079

0.079

13.01

7203. 09 •307.7 85.3 -307.6 5.0637. 19 '.726.31

6.'»7 10.51* 1256

30 8 9. ? 3 0.0 1 55^^

15.000

15. 000

0 .IZk

0.13'. 13. 16

'.'•89.'»5 -300.9 90.7

-300.7 151.1

5.53

35.65 '.926. 2'» 6.9110.67

1228

317 9.36

0.01

10 737 58^

16.000 16.000

0 .216

0 .216 13.32

2951.. 52 -293.7

95 .9 -293. < 159.6

5.99

S*.. 31 5.126.28

7.36

10.85

1200

326 8.89

0.11

10 0 28 615

17. 000 17.0000 .329

0 . 329

13.1.8 2032. 06-286 .1 100.7 -285.6 167.6

6. 'S

33. 11 5.30 6.32

7.88 11.07

1168

331* 8. 75

0. 02 9177

637

18. 000

13. 000

0.1.82

0 .'82 13.66l'.'.9.03 -278.0 105.1 -277.3

175. 0 6. 92 32.0 5 5.1^7 6.37

8. '2

11. 3'^ 3i*i 8.61 0.03

8'+'*2

19. 00 0 19. 00 00 .682

0.682

13. 86

106<^.57

•269. < 109.1

-268. < 181.7

7.38

31. 08 5.626.<f3 8.9311 .66 1120

3<^3

8. '6

O.O'i 7891. 667

20.000

20.000

0 .935

0 .935 801. /<

-260 .2 112.7

-258.9 187.7

7. 30. 85

19 5.75

6. '9

9. '5 12.05

1100

35U 8.300.05 7365

671*

20.268

23.268

1.013

1.013

I't. 13

7<.7. 55 -257.7 113.6

-256.3 189.3

7.96

29.97

5.78

6.51 9.6612,15

1089

355 8.25 0.06

709'* 675

21.000

21. 000

1 .250 1.250

11^. 30 617.79

-250 .6 115.8

-2'»8.8 193.0

8. 32

29. 37 5.86

6.55

10.13

12. 'g 1070

359 8.12

0.07 6620

675

22.000

22.000

I. bit* 1'^.55 ^82. 90

•2'.0.3 118.3 -237.9 197.3

8. 80 28.605.95

6.61 10.8213.03

lat*!* 363 7.91

0.09

59914 670

23. 000 23.000

2.096

2 .096

II*. at* 382.90-229. < 120 .2 -226.3 200.5

9. 29

27. 86 6.036.68 11.6913.69

1010

367 7.67 0.12

5261* 658

2l». 000

2'.. 000

2.6t^5

2.6i^5 15. 15 307.27

-217.9

121 .i^ -213.9 202.7

9.78

27. 15 6.09

6.7'^ 12.52114.50 980371 7.390.15

i*h75 639

25.000

25.000

3.288

3.288

15.51

2'^8.97 -205.5 121.7

-200. ! 203.6

10. 29

26. '6

6. !<

6. 81

13.1*1* 15.52g<4 8 373 7.06

0.19

(10 9 613

26.000

26.000

h.035

'.035

15.92

20 3. 21 192. < 121.1

-185.

9

203.

1

10.81

25. 79 6.20

6.90

11^. 81 16.86

90 3 376 6.68

0.23

3'^10 578

27.000

27.000

'.892

(.892

16. 39 166.69

178.2

119.3 170.2200.9

11. 36 25. 11 6.26

6.99

16.18

18.67

860 377 6.25

0.29 2858

531.

28.000

28. 000 5.871

5.871

16.96

137. 0^

"162 .8 116.1 152.9

196.5

11.93

2i^.i.l 6.33

7.12

1 8.1.8 21. 21^ 80 6 378 5.79

0. 36 2225

1.79

29.000

29. 000 6.9786.978

17. 66

112.51. 11.5.9

111 .0 -133.6 189.5

12.51. 23.68

6.1.1 7.28

22.05

25.20

7<*7 378 5.30

0.1.5 1621.

1.1;.

30.000

30.000

8.225

8.225

18.51. 91. 86 -127.0 103.2

-111.7 178.8

13.20 22.89

6.51

7.50

26.59

32.00

689

37 8 1..76 0.57

1161.

3 31.

31.000

31. 000 9.62 7 9.627

19. 77

73. 86

-101., 91

.

-85.8

162.6

13.96

21. 98 6.667.82 36.55

'6.57

619

375

I.. 15

0.71. 698

237

32.000

32.000

11.198

11 .198

21.71. 57.15

-76.8

72.1

-52.1. 136.1

11.. 92

20. 81 6.91

8.12

65.38

87.03

531* 372

3. '2

0. 99 302

129

32.976

32. 976 12.92812.928

31. 82

31. 82 -2.8

-3.1

38.3

38.1

17.57

17.56

1.90

1.90

49
TABLE VI. THERMCnVNAMlC PROPERTIES OF PARAHYDROGEN

TEMPERATURE

<

!<

15

lb

17

1819

20

20 .22'» 20.22I* 2122

23

2<t 25

26

2728

29

30

31 . 3233

3<» 3D

36

37

3839

kO

1*2 i*k 46

(»8 5055

6065

7075

34R ISOBAR

MOLAR INTERtvfiL hNTHALPV ENTROPY

VOLUME ENERCY

Ch3/& J/C . J/G J/G-K

12.98 -308 .9 -307.6 I..97

1 J • u u -307.8 " J J o • ^ ? . U V 13. 11. -301 .2 -299.8 5.51

13.30 -29<* . 0 -292.6 5.97

13.«.7 -286 .3 -281..

9

6. 1.1. 13.65 -278 .1 -276.

8

6.91

13. 85 -269 ,

e; -263.1 7. 38

li*. 07 -260 , 3 -258.9 7.85

li*. 12 -258 .1 -256. 7 7.96

75<«.62 113.1. 188.9 30. 00 791. 87 119 .0 198 .2 30 .1.5 838.92 126 . c 209.9 30.99

895. 17 1 32 .9 221.1. 31.51

930 . 78 139 .7 2 32.8 31.99

975. 89 11.6. 1. 21.1.. 0 32.1.5

1 020. 59 1 53 .0 255. 1 32. 88

1061.. 95 159 .6 266. 1 33. 3 0 1109. 02 166 .2 277. 1 33 . 70

1 152. 83 1 72 .7 283.0 31.. 0 8 179 .2 298.8 31.. 1.5

1239. 6k 1 85 . 7 309.7 31.. 80 1283. C8 192 .1 320 . 1. 35.11.

1 326. 17 198 .5 331.2 35.1.7 1369. 13 205 . 0 3 1. 1 . 9 35.79

1411.97 211 . 3 352.5 36. 10

IkSt*. 70 217 .7 353.2 36.1.0 ikSY.SU 221. . 1 3 7 3.3 36.69

1539.89 2 30 . 5 381.. 1. 36.98

1582. 36 236 .8 395. 0 37. 25

162i». 76 21.3 .1 1.05.6 37.52

1 709. 36 255 . 8 1.26.8 38.01. 1793. 75 268 . 5 1.1.7. 3 38.53

1877.91. 231 . 1 1.68. 9 38.99

1961. 97 293 .8 1*90 . 3 39.1.1. 201.5. 86 306 .5 511.1 39.87

2255. 09 338 .1. 563.9 i.0 .88

2 1.63. 76 370 . 8 617.2 1.1 . 81 2672. 01 1.0 3 .9 o71. 1 1.2.67 2879. 91. 1.38 .2 726. 2 1.3.1.9 3087.63 1. 73 .8 782.5 1.1..26

SPECIFIC HEAT

C<l CP J/G-K

,63

,71

,92

, 12

,30

,1.7 ,62

.75 5.77

6.50

,1.3 .37

,33

, 30

.29

,27

.26 .26

. 25 6.25

. 21. .2". .23

.23 ,23

.23

,23

.22

.22 .22

.23

.23

,25 .26

.23

.37

.50 .69

,91. .25

6. 38

6. 1.8 6. 98

7.1.3 7.91

8.1.1 8.95

9.53

9.61. 12. 11. 11. 86 11.60

11.1.1 11.27

11. 16 11.07

10. 99 10.93

10. 88

10. 83

10. 79 10.75

13.72

10. 69 10.66

10. 61. 10.62

10. 60

•10. 59 10.58

10. 55

10.51. 10.53

10.53

10. 51. 10.60

10. 71 10.89

11. 13

11.1.2

8G 3295. 11 5 11 . 0 81.0.5 1.5.0 1 7.60 11.77

85 3502.1.1. 550 .1 900.3 1.5.71. 7 .99 12. 16

90 3709.61. 591.1 962. 1 I.6.I.I. 8.1.1 12. 57

95 3916. 72 631..

3

1026.

0

1.7. 13 8.81. 13.00

100 1.123. 72 679.7 1092.

1

1.7.81 9.28 13. 1.3 110 1.537. 1.8 7 7b. 7 1230.5 1.9. 13 10 .10 11.. 25 120 1.951 . 00 881.6 13 76.

7

50.1.0 10.83 11.. 97 130 5 361.. 35 993.0 1529.1. 51.62 11 .1.0 15.51. IVO 5777.57 1109.3 1687.1 52.79 11.32 15.96

150 6190.63 1229.

C

18!.8.1 53.90 12. 03 16. 22

VELOCITY

OF SOUND

M/S

1262

1251. 1216

1190 1166

111.3 1119

10 91.

1090

355

361. 3 75 385

395

1.01* 1.13

1*22 1.31

1.39

1.1.8

BAR/K aAR-CM3/G

9.21.

9.21* 9.10

8.93 8.77

8.63

8.<*8 8.30 8.26

0.06

05

0505

05

01. 04

04

0404

04

11686

11443

10410

9750

9113

3502 7854

7222

7122 675 717

771

822 872

921 969

1017 1063

1110 1156

456 0.0 3 1201

463 0.03 1246

471 0.03 1291 479 0.03 1336

486 0.03 1380 493 0.03 1425

501 0.03 1469

508 0.03 1513

511. 0.03 1556

521 0.03 1600

535 0.02 1686

547 0.02 1773

560 0.02 1859

572 0.02 1944

583 0.02 2029

611 0.02 2242

636 0.02 2453

658 0.02 2663

679 0.01 2872

697 0.01 3082

711* 0.01 3290

729 0.01 3499

71.1. 0.01 3707

759 0.01 3915

773 0.01 4123

800 0.01 4538

827 0.01 4952

855 0.01 5366

883 0.01 5780

912 0.01 6194

160 6603. 70 1353.7 2011. 0 51.. 95 12.21 16. 35 qi*o 0.01 6608

170 7016.65 1473.

C

2171.. 7 55.95 12.24 16. 37 969 0.01 7021 180 7429. 5i* 1595.

3

2333.

2

56.38 12. 19 16. 32 998 0.01 71.34 190 7842. 38 1716.7 2501.0 57. 76 12.03 16. 21 1026 0.01 7847

2 00 8255. 19 1836.9 2662.

4

58.59 11 .95 16. 08 1054 0.0-1 8261 220 9080. 69 20 72 . 8 2983. 8 60. 11 11.63 15.76 1110 0.00 9087

240 9906. 10 2302 . 1. 32 93. 0 61.1.6 11.33 15. 46 1163 0.00 9912

260 i: 731. 1*3 2526.1. 3599.5 62.69 11.07 15.20 1214 0.00 10738

280 11556. 70 271.5. 8 3901. 5 63. 81 10 .87 15. 00 1263 0.00 11564

300 12381.92 2961 .7 4199.9 64. 84 10 .72 14. 85 1310 0.00 12389

TWO PHASE 30UN0AKY

50
TABLE i/I. THEPMOnVNAMIC PROPERTICS OF P A =?A H Y H '?0';'=:

N

2 BAR ISOBAR ldP\ |ap\ ^MPERA- MOLAR INTERNAL ENTHALPY ENTROPY SPECIFIC HCA T (/ELOCITY TURE l/OLUME ENERGY Ci/ CP OF SOUNU \u 1 /y \\j r 1

\ K Cm3/g J/G J/G J/G-K J/G- K M/S

13.868 12.97 -308.9 -306.

3

<4.97 U .63 6.39 1265 q.26 11750

1<* 12.99 -3 J8 .0 -305. i4 5.03 I.. 71 1260 9.25 1 1598

15 13.13 -3J1 . U -29'i. 7 5.<49 14.91 6. 97 1221 9. 14 13514

16 13.28 - 2 9 ^4 • 2 -291 . 5 5.96 5.11 7.41 1195 8.96 98 4 3 17 13.*»5 -286.6 -2 33.9 6.42 5.30 7. 89 1171 fi.81 9210

IS 13.63 -278.5 -275. 7 6.89 5.I46 3. 33 1149 3.66 3604

19 13. 83 -269.9 -237.1 7. 36 5.61 3.92 1124 fl.51 7953

20 i't.O'* -260.7 -257.9 7.83 5.7<4 9. 43 1100 8.3 4 7324

21 114.28 -251.0 -2I48. 1 8. 30 5 . 36 13.12 1073 3.15 6662

22 11*. ^i* -2<40.6 -237.

7

8.79 5.95 13.83 1044 7.93 5996

22.805 14. 78 -2 31.6 -228.7 9. 19 6.02 11.52 1017 7.72 5396

22.805 <40C. 19 119.9 199.9 28.00 6.67 13. 55 367 0.11 661

23 <.05.36 121 .5 2J2.6 28. 11 6.64 13.41 369 0.11 674

21* (SI. 62 129.3 215.7 28.67 6.52 L2. 84 381 0.10 738

25 <457. 01 136.9 223. i 29. 19 6 .141 12.44 392 O.IP 799

CO H fl0

11 • 7^r "7 1 -^H • L. ? ti n c u • 0 0 . *4 J 1 c X 7 C . 0 9 8 5b 27 505. 99 III.'* 252.6 30. 12 6.37 11. 92 413 C.Q9 912

28 529. 82 158 .5 26I4 .<4 30.55 6 . 35 11. 74 423 O.OB 966

29 553. 32 165.

U

276. 1 30 . 96 6.33 11.59 432 0.08 10 19

30 57b. 53 1 72 .3 287.6 31.35 6. 32 11.47 441 0.07 10 70

31 599. 51 179.1 299. 0 31.73 6 . 30 11 . 36 449 0.07 1121

32 622. 28 185.9 310 .'4 32. 39 6.30 U. 27 458 0.07 1170

33 6'4i». 83 192 .6 321.6 32.<43 6.29 11.19 466 0.0 7 1220

31* 667. 32 199. 3 332. 7 32. 76 6.23 11. 12 4 74 0.06 1263

35 689.62 205 .9 3i»3.8 33.0 9 6.27 11. 06 482 0.06 1316

36 711.80 212 .5 35<4 .9 33.4 0 6.27 11.01 4 89 0.06 1363

37 733. 89 219 .1 365. 9 33. 70 6 .26 10.96 497 0.06 1410

3S 755. 86 225.6 376. 3 33.99 6.25 10.92 504 0.06 1457

39 777.75 232.1 387.7 3<4.27 6.25 13.83 511 0.05 1503

1*0 799.56 238.6 398.6 3<4.55 6.25 10. 85 518 0.05 1549

1*2 842. 98 2 51 .6 420.2 35.08 6.25 10.79 5 32 0.05 1640

>*>* 886. 16 264.5 441. 7 35.58 6.26 10. 75 545 C.05 1730

46 929. 14 277 .4 463.2 36.05 6.27 10.72 558 0.05 1320

ifS 971. 95 290 . 3 484. 7 36.51 6.23 10.71 570 0.04 1908

50 1014.61 303.1 506.1 36.95 6.33 10.70 532 0.04 1996

55 1120. 75 335 .4 559.6 37.97 6. 33 10. 72 610 0.04 2215

60 1226. 31 368 .

1

613.4 38.90 6.51 10.81 635 0.03 2431

65 1 331. 45 401.5 667.8 39.78 6.70 10.97 658 0.03 2645

70 1436. 26 435.0 723.2 40.30 6 .95 11. 20 6 79 C.03 2358

75 1540. 82 4 ?1 . 8 779.9 41.38 7.25 11. 48 697 0.03 30 70

80 1645. 19 509.1 838.2 42. 13 7.60 11. 82 714 0.0 3 3281

85 1749. 39 548 . 3 893.2 42.86 7.99 12. 20 730 0.02 3492

90 1 853. 46 589.5 960.2 43.57 8.41 12.61 745 0.02 3702

95 1957.42 6 32. 8 1024. 3 44. 26 8.84 13. 03 759 0.02 3911

100 2061.29 678.3 1090.6 44.94 9.23 13. 46 773 0.02 4120

110 2268. 80 775.5 1229.3 46.26 10.11 14. 28 801 0.02 4538

120 2476. 07 8 30 .5 1375. 7 47.53 10 . 33 14.99 . 828 0.02 4954

130 2683. 18 992.0 1528.

6

48.76 11 .41 15.56 856 0.02 5370

140 2890. 14 1108.4 1686.4 49.93 11 .82 15.97 884 0.01 5786

150 3097. 00 1228.2 1847 .6 51. 04 12.03 16. 23 913 0.01 6201

160 3303. 77 1349.9 2010.6 52.09 12.21 16. 36 941 0.01 6615

170 3510.47 1472.3 2174.4 53. 08 12.24 16. 38 970 0.01 70 30 180 3717. 12 1594.6 2338.

0

54.02 12. 19 16. 3 3 999 0.01 7444

190 3923. 71 1716.1 2500.

3

54.90 12.03 16. 22 1027 0.01 7858

200 4130.27 1836 .3 2662.4 55. 73 11 .95 16. 08 1055 0.01 '<271 2 20 4543. 28 2072 .3 2980.9 57.24 11.63 15. 77 1110 0.01 9098

240 4956. 19 2301.9 3293.

2

58.60 11.33 15.46 1164 0.01 9925

260 5369. 03 2526.0 3599.

8

59.83 11.08 15. 21 1215 0.01 10751

280 5781. 80 2745 .4 3901.8 60.95 10.37 15. 00 1264 0.01 11577

300 6194.53 2961.3 4200.2 61.98 10 .72 14. 95 1311 G.Ol 124 0 3 TMO PHASE BOUNDARY

51
TABLE i/I. THERMCnVNAMIC PROPFRTIES OF PARAHYDROGEN

3 BA^i ISOBAR ldP\ TEMPERA- MOL A'?. INTER^flL ENTHALPY ENTROPY SPECIFIC HEAT VELOCITY 1?

TURE i/OLUME ENERGY CP OF SOUND \OPlK Cm3/& j/r J/G J/G-K J/G- K H/S BAK/K B4R-Cm3

13.901 12. 96 -308.9' -305.0 4.97 4 .69 6. 39 1268 9.27 11814

11* 12. 97 -303 . ? -3 0 4.3 5.02 4 .71 6. 43 1267 9.27 11751

15 13.11 -301 .6 -297.6 5.48 4.91 6. 96 1226 9.18 10617

16 13.27 -294.4 -2 90.5 5.94 5.11 7.40 1200 8. 99 9946

17 13.43 -286 .9 -282.8 6.41 5 .29 7. 87 1176 8.84 9306

18 13.61 -273 .

P

-274. 7 6.87 5 .46 8. 35 1154 8,69 9704

19 13. 80 -2 70 .2 -266.1 7.34 5.61 8. 89 1130 8.54 30 52

20 14. 01 -261 .2 -257.0 7.80 5.74 9. 44 1105 8.37 7424

21 14. 25 -251 .5 -247.2 8.28 5 .85 10. 06 10 79 8,18 6766

22 14.50 -241 .

2

-236.8 8. 76 5.95 10. 75 1051 7.96 6107

23 14. 80 - 2 50 . 1 -225.6 9.26 6.03 11. 56 1019 7.71 5414

Zi* 15. 13 -218.2 -213.6 9.77 6.09 12. 49 983 7.41 4708

I'J.SS -210 .9 -206.3 10.07 6.12 13. 04 962 7.21 4346

ai* .571 272. 23 1 21 . 7 2 0 3 .4 26. 76 6. 78 15. 05 372 0.17 625

25 280. 77 125.5 209.8 27.02 6 . 71 14.59 378 0,16 658

26 299. 69 1 34 . C 2 23 .9 27.57 6.59 13. 80 391 0,15 730

27 317.79 142 . 1 237.4 28.08 6 .52 13. 25 403 0.14 797

28 335. 28 149.9 250 .5 28. 56 6.47 12. 84 413 0.13 861

29 352. 31 157.5 263. 2 29.00 6.43 12.52 424 0.12 921

30 368. 96 1 64 .9 275.6 29.42 6.40 12.27 433 0.12 980

31 385. 30 172 . 1 287.7 29.82 6.3 9 12. 07 443 0.11 10 36

32 401. 39 179.3 299. 7 30.20 6 . 36 11. 89 452 0.11 1092

33 417. 27 186.3 311.5 30 .56 6.35 11. 75 460 0,10 1145

S'* 432. 96 193.3 323.2 30.91 6.33 11. 62 469 0,10 1198

35 448. 48 200.2 334. 8 31.25 6.32 11. 51 4 77 0.10 1250

•7 C

iJD 463. 88 2 T 7 .

1

3 46.2 31,57 6.31 11.42 4 85 0.09 13 01 37 479. 14 213.9 357.6 31.98 6.30 11. 34 4 93 0.09 1351

38 494. 31 2 20 . 6 368.9 32.18 6.29 11. 26 501 0.09 1400

39 509. 37 227 . 3 380 .1 32.48 6.29 11. 20 508 0.08 1449

iiO 524. 35 234 . 0 391.3 32. 76 6.28 11. 15 515 0.08 1498

42 554. 09 247.3 413.5 33. 30 6.29 11. 05 530 0.08 1594

533.57 260 .5 435. 5 33. 91 6.28 10.98 543 0.07 1688

'6 612.83 2 73 .6 457.4 34. 3 0 6.28 10.92 556 0.07 1781

48 641. 92 286 . 7 479 .3 34.76 6.30 10.88 569 0.07 1873

50 670. 86 299 . 7 501.0 35.21 6.31 10. 86 581 0.06 1964

55 742 . 65 3 32 .

4

5 55.2 36 . 24 6.39 10.85 609 0.06 2188

60 813. 85 365 . 5 609,6 37.19 6.52 10. 92 635 0.05 2409

65 884.62 3 99 .1 664.5 38. 07 6.71 11.06 658 0.05 2627

70 955. 07 4 33.8 720. 3 38. 89 6 .95 11. 27 6 79 0.04 2844

75 1 025. 25 469 . 7 777 .S 39.68 7.26 11.54 697 0.04 3058

80 1 095. 24 5 0 7 .3 835. 8 40 .43 7.61 11. 87 715 0.04 3272

85 1165. 07 546 . 6 396. 1 41. 17 8.03 12. 25 730 0.04 3485

90 1234. 76 5 f7 . 9 95 8 .i» 41.88 8 .42 12. 65 745 0.03 3697

95 1 304. 35 6 31 . 3 1022.

6

42.5 7 8.85 13.07 760 0.03 3908

lOO 1 373. 84 6 76.9 Id 99. J 43.25 9.23 13. 49 774 0.03 4118

110 1512.59 7 ?4 . 2 122 S . 0 44 . 5 7 10.11 14.3 0 8 01 0.03 45 38 120 1651. 12 879 .4 1374.

7

45. 85 10.83 15. 01 829 0.03 4957

130 1 789. 46 991 .0 1527. 8 47.08 11.41 15. 58 857 0.02 5375

IVO 1927. 68 1107.5 1685.8 48. 25 11.82 15.99 885 0.02 5791 150 2065. 78 1227.3 1847.1 49.3 6 12.09 16.24 913 0.02 6207

160 2203.80 1349.1 201].

2

50.41 12.22 16. 37 942 0.02 6623

170 2341. 76 1471 .6 2174. 1 51.41 12.24 16. 39 971 0.02 7038

180 2479. 65 1593.9 2337.8 52.34 12.19 16. 34 999 0.02 7453

190 2617.50 1715.5 2500. 7 53 . 22 12 . 09 16. 23 1028 0.02 7868

200 2755. 30 1835.7 2662.3 54 . 05 11 . 95 16.09 1056 0.02 8282

2 20 3030.92 2071.

a

2981. 0 55.5 7 11.63 15. 77 1111 0.01 9110

240 3306.23 2301 .5 3293. 3 56.93 11.33 15.47 1165 0.01 9938

260 3581. 56 2525.6 3600. 0 58 .16 11.09 15. 21 1216 0.01 10765

2 80 3 856. 84 2745.1 3902.1 59. 2 8 10 .87 15. 01 1265 0.01 11591

300 4132.07 2961 . 0 4200.6 60.31 10 .72 14. 85 1311 0.01 12418

TWO PHASE BOUNDARY

52
TABL£ THeoMOCyNflMIC PPOPERTI'ZS OF PflPAHY OROGEN

i* 01^ ISOBAR

TEMPERA- MOL AR INTCRhAL ENTHALPY

ruRE i/OLUME tNCRr,Y

K Cm3/g J/C- J/G 13.935 12. 95 -30 8.8 -303.6

li* 12.9?) - 3 0 3 . 1* -303.2

15 13.10 -3 J 1 . fl -296.5

16 13. 25 -29i« . 7 -289. I* 17 13. <! -2 17 . 1 -281.8

18 13.59 -279 .

1

-273.7

19 13. 7fl -27J .6 -265.1

20 13. 99 -261 .6 -256.0

21 11*. 22 -252 .C -21*6 . 3 22 14. if7 -2m .8 -236.0

23 114.76 -2 20 .8 -221*. 9

21* 15.09 -219 .

C

-213.3

25 15. itb -206.? -200.1

25 . 957 15.90 — 1 9 2 .9 -18 6.

6

25.957 201*. 98 121 .2 203.2

26 2C5. 7'* 121.6 2 0 5 .9 27 221.03 1 31 .2 219.9

28 236.50 1 1*0 . 1 234.7

29 250. 66 11*8 . 6 2<*8 . 8 30 261*. 29 156.7 262. 1*

31 277. 50 16'«.5 275.5

32 290. 3P 172.2 288.3

33 303. 01 179.7 3 00 .9

315. 1* 1 1 ? 7 • . 313.2

35 327. 62 19i» . 3 325 . 3 36 339. 66 201.1* 337.3

37 351.57 20 8 .5 31*9. 1 33 363. 36 215.1. 360 .8

39 375. 01* 2 ?2 . 1* 372.1*

1*0 386. 63 229. ' 383.9

1*2 i»09. 56 21*2.9 1*06. 7

1*1* '32. 22 256.1* 1*29.2

i*b '5i». 65 269.7 1*51.6

<*3 '76. 89 283 .

e

1*73.8

50 i«98. 97 2 =6 . :^ 1*95 .9 55 553.61 329 .1* 550 .9

60 607. 6i« 362 .8 605.8

65 661. 23 396.7 661.2

70 n't. (*H 1* 31 . 6 717.1*

75 767. <»9 1*07 . 7 7 71*. 7

EMTPOPY

J/G-K

SPECIFIC HEAT

C\l CP J/G-K

,98

, C 1 ,1*7 ,93

,39

,85

,31 ,78 8.26

8 . 71* 9.23

9.71* 10.26

10.79

25 . 82

25.81. 26. 1*5 26. 99

27.1.8

27.91*

28 . 37 28.78

29. 17 29.5 3 29.89

30.22

30 .55

30 .86 31.16

31 .1*5

32. 01 32.53

33. 0 3 33.50

33 .95 35.00

35. 96

36.81. 37.68

38.1*7

.69

.71

.91

.10 .29

.1*5 .60 .73 5.85

5.91* 6.02

6.09

6. 11* 6.19

6.89

88

7262

56

51

1*7

i+i* 1*2 39

37

35

31* 33

32

31

3030

3J

3135

1*0 5 5 7296

26

6. 39

6.1*1 6. 95 7.38

7. 85

3. 32

8. 81. 9.1.0

10.01 10.69

11.1*6

12. 37

13. 1*6 II*. 75

16. 79

16. 71

15. 31* 11*. 1*1* 13.80

13.33 12.96

12. 66

12. 1*2 12. 21 12.03

11. 38

11 . 76 11.65

11.55

11. 1*7

11.33

11. 22

11 . 11* 11.07

11.03

10. 98

11. 02

11.11*

11 . 31* 11.60

i/i^LOCITY OF SOUND

M/S

1271 1273

1231 1205

1181

1160 1137

1111

1085 1057 1026

991

950

905 376

376

390

1*03

1*15

'.25

1*36

1.1.5 1*55

1*61* 1*73

1.31 1.89

1.97 505

513

527

51.1 555 568

580 609

635

653 679

698

( BAR/K

^1

dPij

94R-Cm3/G

9.28

9.28

9.21 9.02

8.87

8.73

8.58

8.1*0

8.21

8.00 7.75

7.1.5 7.10 6.69

0.23

23

21

19

1817

0.16

0.15 0.15

0.11. 0.13 0.13

0.12 0.12

0.12

0.11

0.11

0.10 0.09 0.09

09

08

070606

05

11878

11903

10719

10043

91.02 8827

8191 7524 6368

6216

5532

4832

4122 3437

579

5 83 668

745 817

884

948

10 09 1068

1126 1182

1237

1290 1343

1395 1446 1547

1645

1742 1837

1931 2162

2388

2610

2830 3047

80 820.29 505 .4 833.5 39.22 7.61 11. 92 715 0.05 3263

85 872.93 5 44 .9 394 . 1 39. 96 8.00 12.29 731 0.05 3478

90 925. 43 5 »6 . 3 956.5 40 . 67 8.42 12.69 746 C.05 3692

95 977. 83 629 .8 1021.0 41. 37 8 . 85 13.10 760 0.04 3905

100 1030.13 6 75 r. 10 37 . 5 42. 0 5 9.28 13. 52 774 0.04 4117

110 1134.51 7 73 , 0 1226.

8

43. 38 10 .11 14. 33 802 0.04 4539

120 1238.65 878 . 3 1373.

7

44.65 10 . 84 15. 04 830 0.03 4960

130 1342.62 990 . 0 1527.

0

45. 8 8 11 .41 15.60 857 0.03 5379

140 1 446. 46 1106 .6 1685. 1 47.0 5 1 1 3. 16. 00 886 0. 0 3 5797

150 1550. 19 1226 . 5 1846.6 48 . 17 12.09 16. 26 914 0.03 6214

160 1653. 8 3 13 48 . 3 20 09.

9

49. 22 12.22 16. 38 943 0.03 6631

170 1 757. 40 1470 .9 2173.8 50. 22 12.24 16. 40 972 0.02 7047

180 1860.92 1593 .3 2337. 6 51.15 12. 19 16.35 1000 0.02 7463

190 1 964.39 1714 . 8 2500.6 52. 0 3 12.09 16. 24 1029 0.02 7878

200 2 067. H2 1835 .2 2662 . 3 52.86 11.95 16. 10 1057 0.02 8293

220 2274.59 2071 ^ 2 2981. 1 54. 38 11 . 64 15. 78 1112 0.02 9122

24C 2481. 25 2301 . C 3293. 5 55.74 11.33 15.47 1165 0.02 9950

260 2687.83 2525 .2 3600 . 3 56.97 11.08 15. 21 1217 0.02 10778

2 80 2394. 36 2744 . 7 3902. 4 58.09 10.88 15. 01 1266 0.01 11605

300 3100. 84 2 9 60 . 7 4201. 0 59.12 10.72 14. 86 1312 0.01 12432

TWO PHASE aOUNOAPY

53
TABLE VI. TMERMCDYNAMIC PROPERTI'^S OF Pa^flHYOROGEN

5 ISOBAP. Mp\ Mp

TEMPERA- MOLAR INTERNAL ENTHALPY ENTR3PY SPECI<^ IC HEAT yF LCCIT

Y

\JpIt TURE VOL JME ENERGY CJ ;p OF SOUND

K cm3/o J/G J/G J/G-K J/ G-K M/S BA'/K

15.968 12.91* -308.6 -302.3 i* . 98 k .70 6. 59 1271. 9.29

If* 12. 9i» -30 9 .

e

-302.1 k . 99 '..71 6. 38 12 79 9.29 12051. 13.08 - 3 3 2 • C -2 95 . 5 . 5 U • 9

1

6.93 12 37 Q ? c: T * C V 1 U 0 c 1 lb 13.23 -29'« . S -2dS . 3 5.91 5 . 13 7. 37 1210 9.06 10139

17 13. 39 -2 87 .1* -283.7 6. 37 5.23 7. 81 11«9 8.91 <5560 18 13.57 -2 79.5 -272.

7

6.83 5 .liS 3 .29 1166 8.76 9926

19 13.75 -271 .

:

-26"*.

1

7.29 5.63 8.81 111.2 8.61 9296

20 1 3. 96 -262.

r

-2 55.0 7.76 5 .73 9. ?5 1118 a.'.'. 7657

21 11*. 19 -2 52.5 -2U5.1* B. 23 5.8'» 9.9 7 1090 3.25 6969

22 -ZkZ.i -235 . 1 8.71 5.9'* 10.62 1063 8.03 6321. 23 Ik. 72 -2 ?1 . e -22U . 1 9.2C 6.02 11.37 1033 7.79 561.6

21* 15. Oi* -219. P -212. 3 9. 70 6.09 12.25 999 7.50 1.952 25 15. "fl -207.3 -199.

6

10 .22 6 . li* 13.29 959 7.16 1.251 26 15.85 -193.6 -185.6 10.77 6 . 19 li». 61 912 6.75 3525

27 16. 38 -178.'* -170.2 11 . 35 6.25 16. '3 856 6.26 2793

27. Hi lb. 1*5 -176.

5

-161.2 11.42 6.26 16. 62 950 6.20 2725

27.116 162. 92 119.0 200 .5 25.0 3 7.01 18.92 378 0.30 528

28 175. Wt 128.6 216. 3 25.60 6. SI* 17.03 391 C.27 615

29 188. "il 1 33 .

1. 232 .6 ?6. 17 6.72 15.69 1*05 0.25 701

30 200. 56 1U7.6 2'*7. i 26.69 6.6'* 1'*. 78 1*17 0.23 780

31 212.13

32 223.25

33 231.. 01.

SI* 21.1.. 55

35 251.. 83 36 261.. 92

37 27'.. 85

38 281.. 65 39 291.. 33

1.0 303. 90

156.2 262.5

1 61.. 5 276.1

1 72.6 289.6

180.1. 302 .6

1 98 . 0 315.1. 195.5 327.9

202 .8 31.0.3 210 . 1 352. 1. 21 7.2 361.. 1. 221.. 3 376.5

27.16 6.59

27.60 6.55

28.32 6.53

28.1.1 6.1.5 28.79 6.1.2 29. 13 6.1.3 29 . 1. 7 6.39

29.79 6.36

50.10 6.35

30 . 1.0 6 . 31.

1'..13 1.29 13.63 1.39 13.23 1.1.9 12.90 1.58 12.61. 1.68 1?.'.2 1.77 12.23 1.95 12.07 1.91. 11.91. 502 11.82 510

C.21 951. 0.20 923 0.19 988

0.18 1051

0.17 111?

0.17 1171 0.16 1229

0.15 1285

0.15 131.0 C.li. 139'.

<.2 322. 78 238.3 399.7 30.98 6.33 11 .63 525 0.13 1500

<»(. 31.1. 37 252.1 1.22. 8 31.51 6. 32 11.1.8 539 C.13 1603

IfQ 359.71 265 .8 1.1.5. 7 32.02 6 . 32 11. 36 553 0.12 1703

i*a 377. 86 279.1. 1.69. 3 3?. 50 6.35 11.27 566 0.11 1802

50 395. 81. 292 .8 1.90. 8 32.96 6 . 35 11. 20 579 0.11 1899

55 1.1.0. 20 326.1. 51.6 .

5

31.. 0 2 6.1.2 11.11 608 0.10 21 36 60 1.83. 93 360 .1 6C2.

1

31.. 99 6. 51. 11.13 631. 0.09 2367

65 527. 22 3"!. .3 657.9 35. 99 6.72 11.25 658 0.08 2593

70 570. 17 1.29 .

i( 711..

5

36. 72 6.97 11. 1.1 679 0.07 2916

75 612.85 1.65 .7 772. 1 57.5? 7.27 11.66 698 0.07 30 36

80 655. 31. 503 .6 831.2 38 .28 7.62 11. 98 715 0.06 3255

85 697. 66 51.3.2 892 . 3 39. 0 2 8.01 12.33 731 0.06 51. 72

90 739. 85 58'.. 7 9 51.. 6 59. 73 8 . 1.2 12. 73 71,6 0.06 5687

95 781. 93 6 28 . ;• 1019. 3 1.0 . 1.3 8 . 85 13. 11. 761 0.05 3902

100 823. 92 6 71. . 0 1086.0 1.1. 12 9 . 29 13. 55 775 0.05 1.115 110 907.67 771.7 1225. 6 1.2. 1.1. 10.12 11.. 35 803 0.35 1.51.0 120 991. 18 8 77.1 1372. 7 1.3.73 10 . 91* 15. 06 830 0.01. 1.963 130 1071.. 52 9 88 .9 1526.2 i.'..95 11 .1.1 15.61 858 O.Qi. 53f 3 1<»0 1157. 73 1105.6 1581..

5

1.6 . 1 3 11.95 16. 02 8 86 0.01. 5803

150 1 21. Q . 83 1225.6 181.6. 1 1.7. 2 <+ 12.09 16. 27 915 0.03 6221

160 1 323. 85 1 31.7 .5 2009.5 1.8.30 12.22 lb. 39 91. 1. 0.03 66 3<^ 170 11.06.80 11. 70 .2 2173.6 1.9.29 12 .24 16.1.1 9 72 0.03 7056 180 11.89.69 1592 .6 2337.5 50 .23 12.19 16. 35 1001 0.03 71.72 190 1572.53 1711. .2 250 3.5 51.11 12.09 16.25 10 30 0.03 7888 200 1655. 31. 1831. .6 2662.

3

51.91. 11 .95 16. 10 1058 0.03 9301. 220 1820. 85 2070 .7 2981.

2

53.1.6 11 .61. 15. 78 1113 0.02 91 ^i. 2<.0 1 986. 26 2 3 00 .6 3293.7 51.. 92 11.53 15. 1.8 1166 0.02 9963

260 2151.60 2521. .8 3603.6 56.3 5 11.09 15. 22 1217 0.02 10791

280 2 316. 89 2 71.1. 3902. 8 57.17 10.83 15. 01 1266 0.02 11619

300 21.82. 11 2960 .1. 1.201 . 1. 58.20 10 . 72 11.. 86 1313 0.02 121.1.6 TWO PHASE BOUNDARY

54
TABLE ^l, TMERMCDYNAMIC PROPTRTIES OF PAPAHYDROGEN

6 iMR ISOPAR

TEMPERA- MOL AR INTER^ AL ENTHALPY ENTROPY

TURE VOLUME ENERGY

< cm3/g J/G J/G J/G-K

12.93 -308.7 -301 . a 4.98

lb 13.06 - 3 0 i; . 2 -2 94.4 5.44

lb 13.21 -295.? -287 . 3 5.89

17 13. 37 -287.7 -279.7 6. 35 13 13.55 -279 .P -271.6 6.81

19 13. 73 -271 .i. -263.1 7.23

20 13.93 -2 62 .4 -254. 1 7.74

21 li*. 16 -2 53 .

>" -244 . 5 8.21

22 14. m -234. 2 8.68

23 lU. 69 -232. 1 -223 . 3 9.17

li*. 99 -220 .6 -211.6 9.67

25 15. 35 -208 .2 -199. 0 10 . 18

26 15. 78 -19't.7 -185.3 10. 72

27 16.29 -17 9.9 -170.1 11.29

28 16. - 1 63 .

1

-152.9 11.92

28.123 17. -160 .8 -150 . 6 12.0 0 28.123 133. 77 115.6 195. 8 24. 32

29 1<»5. 31 126.3 213.5 24.94

30 157. 00 137.1 231. 3 25.55

31 167. 78 11.6. 9 247.6 26.03

32 177.93 156.1 262.9 26.57

33 187.63 1 6i» .9 277.5 27. 02

3<» 196. 93 173.3 291.4 27.4 3 one n /. 131.4 7 n cx n A t c. f • oo

36 21't, 88 189.? 311.2 28.20

37 223. SI* 1 96 .9 331.1 28.55

38 232. O"* 204.5 343.7 28. 89

39 2i»G. '»1 211.9 356.2 29. 21

<»0 2'»8. 66 219.3 363.5 29. 52

«f2 2614.87 2 33 .7 392.6 30.11

!»(» 280. 77 247.

«

4 16 . 3 30.66

(>& 296. i»0 2 61.8 439.6 31.18

<»8 311.83 2 75.6 462 . 7 31.67

5 ft Q t 1"? 1 5t • 1 *+ 55 36i«. 60 323.3 542.1 33. 22

60 1*01. '.7 357 .4 598.3 ^4. 19

65 '37. 89 391.9 654. 6 35.10

70 i»73. 97 427.2 711.6 35 . 94

75 509. 78 463 . 7 769 . 6 36.74

80 5'*5. 39 501.7 828.9 37.51

85 580.83 5 41 . 4 83J.9 38.25

90 616. 15 58 3 .1 952.3 38.96

95 651. 35 626. ? 10 17. 6 39.67

inn 1 U U 6 8 6 • t+b b ' C . b 10 84.5

IIG 756. <«5 770 .5 1224.4 41 .68

120 326. 21 3 76.0 1371.7 42 . 96 130 895. 8C 9 «7 . 9 1525. 4 44. 19

1<»0 965. 25 1104.7 1683.9 45. 3 7 150 1 03i». 63 12?4 . f 1845 .6 46 .48

160 1103. 87 1346.8 20 09. 1 47. 54 170 1173. 07 1469.4 2173. 3 48.53

180 12'»2.21 15°1 .9 2337.3 49. 4 7 190 1311.30 1713.6 2500 . 4 50.35

2 0 0 138 0.35 1 3 3 4 • G 26 62.

2

51.18

220 1518. 36 2 J 7a .2 2981.2 52. 70 1656. 27 23 00.1 3293.

9

54 . 06 260 179'». 11 2524.4 3600 . 8 55.29

260 1931. 89 2 7 44 .C 3903.

1

56.41

300 ? 069. 62 2960 .0 42 01.3 57.44

TWU PHASE OOUNOARY

Idp] (^1 SPECIFIC HEAT \/ELOCITY \dJlyj ydPlr

C7 CP OF SOUND ^ J/G-K M/S BAR/K BAR-Cm3/g

4 .73 6. 38 1280 9.30 12079

4.90 6. 92 1242 9.28 1 0921

5 . 10 7.33 1219 9.10 1 0322 5.28 7.79 1194 8.94 9661

5 . 44 8.27 1171 8.79 9028

5.59 8. 77 1148 8.64 3399

5 .72 9.31 1123 8.47 7756

5 . 84 9.90 1098 8.28 7108 5.93 13.56 1069 8.07 6429

6.01 11.29 10 40 7.83 5761 6.08 12.12 1007 7.54 50 82 6. 14 13. 14 968 7.21 4376

6. 19 14. 33 923 6.81 3665

6 . 25 16. 08 869 6.35 2934

6. 32 13.57 807 5.81 2216

6 . 34 18. 60 802 5.73 2190

7 .13 21. 64 378 0.37 472 6.95 18.80 393 0.33 570 6.81 16. 93 407 0.30 667

AD 7 ? • f t1 7 7 i P . f 0 * c u U • C 0 6. 64 14. 88 431 0.26 831 6.59 14. 25 442 0.24 905

6 . 53 13. 75 453 0.23 974

6 .43 13. 35 463 0.22 1041 6.45 13.03 472 0.21 1105 6.43 12. 77 482 0.20 1166 6.40 12. 55 490 0.19 1226 6.38 12. 37 499 0.18 1285 6.37 12. 21 507 0.18 1342

7c; D • jZ? L 1 • y !> V C J U • 1 r 11 L.H 7 70 6.34 11. 75 538 0.16 1560 6.34 11.59 552 0.15 1665 6.35 11.47 565 0.14 1767

6. 36 11. 38 573 0.13 1867

6.43 11.25 608 0.12 2110

6 . 55 11.23 634 0.11 2346

6.73 11. 32 658 0.10 2576

6. 97 11.48 6 79 0.09 2802

7 . 27 11.72 698 0.08 3 0 26

7.62 12.03 716 0.08 3 2 47 8.31 12. 33 732 0.07 3466

8 . 42 12. 77 747 0.07 3683

8 . 85 13. 17 761 0.06 3899 9.29 13.58 776 0.06 4114 10.12 14. 38 803 0.06 4541

10 . 84 15. 08 831 0.05 4966

11.41 15.6 3 8 59 0.05 5338

11.33 16. 03 887 0.04 58 09 12.39 16. 28 916 0.04 6229

12 .22 16. 40 945 0.04 6647

12 . 25 16.42 973 0.04 7065 12.19 16. 36 1002 0.03 7482 12.09 16.25 1030 0.03 7899

11 .95 16.11 1059 0.03 8315

11 .64 15. 79 1114 0.03 9146

11.33 15.48 1167 0.03 99 76 11.03 15.22 1218 0.02 1 08 05 10.83 15. 02 1267 0.02 116 33 10.72 14. 86 1314 0.02 12461

55
TABLE v/I. THEi^MCOVNA^IC PROPERTIFS OF P A P AH Y 0 ROG E N

7 TAR ISOBAR im TEMPERA- MOL AR INTERf AL lNTHAL°Y £ NTPQOY sPECiFi; HEA T i/'^LOCITY \dTl\j \dp]j

TURE VOLUME ENERCY r ^ CP OF SOUND

K Cm3/& J/G J/G J/G-K J/G- K M/S ?Af^/K 84R -r m3/

1'..03'* 12. 92 -308.7 -299.7 k . 98 ' .71 6.33 1283 9.31 121 1.6 15 13. 05 -30 2 . <. -293 .

3

5 . '2 '. .90 6. H3 125'* 9.31 11213

16 13.19 -2 95,1, -2 86.2 5 . i 8 5.39 7.32 12 2'* 9.13 1 11. 27 17 13.35 -2 88 . C -278.6 6.3'. 5 . 27 7.77 1199 8.97 9762

18 13.53 -2^0.1 -270 . 6 6.30 5 . kk 3. 25 1176 8.32 9126

19 13.71 -271 . 7 -252.1 7 . 26 5 . 59 3.71. 1153 8.67 3501

20 13. 91 -2 £2 . 8 -2 5 3.1 7.72 5.7? 9.23 1 129 8.50 7858

21 Ik. 13 -2 53 .

4

-2i».<. 5 8.18 5.3 3 9. 35 110'+ 3.31 7211, 22 I'*. 37 -Zki.k -233. 1* 8.66 5.93 13. 1.3 10 76 fi.lO 6555

23 -2 ^2 . e -222.5 9.11. 6.01 11. 21 10'.6 7,87 5872

2<» li*. 95 -221 .

4

-213.9 9. o3 6.03 12.02 101'. 7.59 5201

25 15.30 -2 39.1 -198. i» 10.1'. 6.13 13.03 976 7.26 1+1.98 2b 15. 71 -195 .9 -18i». 9 10.67 6.13 li*. 11. 931. 6.38 3816

27 16.20 -181 .<* -1 7j . a 11.2't 6 .2k 15.68 883 6.1.3 3102

28 16.82 -165.0 -15 3. 3 11.85 6.31 13. 03 822 5.91 2 3 61. 29 17. 65 -lit6.C -133.6 12. 5 3 b.ki 21.71 750 5.30 1660 29.019 17. 67 -l'*5.b -133.2 12.55 6.1.1 21. 70 71.9 5.29 1659

29.019 112. 13 1 10. 8 1 89. 3 23. o7 7.23 25. 29 378 0.1+5 1+12 30 121*. '9 12i» .6 211.7 ?'. . '3 7 .<ik 2 3.53 396 0.39 537

31 135.21 136. i 2 3 0 .9 25.06 6 .89 13. 10 1.11 C.36 61.1 32 1U1». 91* 11*6 . 8 2't8. 2 25.61 6.73 16.60 '2I* 0.33 733

33 15'*. 04 156.5 26i». 3 26. 10 6 .70 15. 56 1.35 0.30 8 17

3<f 162. 66 liS5 .6 279.5 26. 55 6.62 11.. 79 kk7 0.28 891. 35 170. 9i« i.7k.Z 29'i. 0 26. 97 6 . 55 11.. 21 1.53 0.27 967

36 178. 95 18 2.7 3 0 7 .9 27.37 6.50 13.75 1.68 0.26 10 36 37 186. 71* 190.8 321.5 27. 7'. 6 . +7 13. 39 1+78 0.21. 1102

38 igi*. 3<» 198 .7 33it.7 28. 09 6 . kk 13. 09 1.87 0.23 1167

39 201.80 206 .ii 3^47. 7 28.1.3 fa . 1.2 12 . 81. '96 0.22 1229

<*d 209. 13 21'* . C 360 .

i» 28 . 75 6.1.0 12. 6 3 501. 0.21 1289

223. '»6 228 .9 385 . 3 29. 36 6 . 38 12. 29 521 0.20 11.C6

1*1* 237.1*5 Zk:i.k 1+09.7 29. 93 6 . 36 12. C 5 36 0.19 1518

<»6 251. 16 257.7 '33.5 30 . '.6 6 .36 il.&k 550 C.18 1627

<»s 26'». 66 271.

P

"57.1 3C . 96 6 . 36 11.69 561. 0.17 1732

50 277. 96 285 .7 '83.3 31. '3 6.33 11.57 577 0.16 1835

55 310.61 3 20 . ? 5 3 7.7 32.52 6 . '' 11.39 60 7 0,11, 20 85 60 3i»2. 59 35'« . 7 5 9'*. 5 33.51 6. 56 11 . 3'+ 631. 0.13 2326

65 37ii. 10 389.'' 651.3 31.. 1.2 6 . 7k 11. i+a 658 C.ll 2560

70 1.05. 27 i«25 . 0 70 8 .7 35 .27 6 .93 11. 56 680 0.11 2739

75 t^Zb. 17 kf,i.7 767.0 36. 3 8 7 .23 11 . 79 699 0.10 3016

80 1*66. 86 I* 99 . P 826.6 36. 35 7.63 12. 03 716 0.09 3239

85 i»97. <«0 539.7 387 . 9 37.5 9 8.01 12.1.2 732 0.09 31.60 90 527. 80 581.5 950 .9 38.31 8 . '.3 12. 80 71.8 0.08 3679

95 558. 09 625 . ? IJ 16 . 0 39. 0 1 8 . 36 13.20 762 C.08 3896

100 588.23 671 .2 10 83 . 3 39.70 9 . 29 13. 61 776 0.07 1+113 110 7 6 9.2 12 2 3.2 '1.03 10.12 11+ « ! 0 8 Ql. 0.06 1+5 k2 120 708. 38 8 ?! .9 1370.8 1.2. 32 10 .ai. 15.13 832 0.06 1+969 130 768. 15 9 96 .

9

152'*. 6 '.3.55 1 1 . '.2 15.65 860 0.05 53Q3

1(»0 827. 78 1103.

P

1683.

2

''. 73 11 .33 16.05 838 0.05 5815

150 887. 30 1223 .c l&kS.l '5 . 8'. 12.09 16.29 917 0.05 6236

160 9'»6. 7k 13'»6. 0 20 08.7 '6.90 12 . 22 16. 1+1 91+5 0.01+ 6655

170 1306. 12 li+=)8 . 7 21 73 . 0 '+7.89 12.25 16. '3 971. 0. Ql. 70 71+ 180 1 065. '3 1591.3 2337.1 '8.33 12.19 16. 37 1003 0.01+ 71.92 190 112i*. 71 1713.0 2500. 3 '.9.71 12.39 16. 26 1031 0.01. 7909

200 1183. gif 18 ^3 2662.2 50.5'. 11 .95 16. 12 1059 0.31. 8326

220 1 302. 30 2J69.7 2931 . 3 52.0 7 11 . 61. 15. 33 1115 0.03 9158

2<tO li«20.57 22 99 .

7

329'.. 1 53.1.3 11.33 15. U9 1168 0.0 3 99 89 260 1538. 76 252<..C 3601. 1 51*. 66 11.03 15. 23 1219 C.03 10318

280 1656. 89 271,3.6 39 0 3.', 55.78 10.33 15.02 1268 G.03 1161+7 300 1 771.. 98 2959.7 '.202.2 56. 31 10.73 11*. 86 1315 0.02 121+75

TWO PHASE 30UNDARY

56
TABLE Ml. THE^MrOYNAMIC OPOPEPTIES OF P fl.? A H Y PROG E N

a .ia^ ISOPAK

TEMPERA- MOlA'^ INTfK^AL tNTHALPY ENTROPY

TUFE VOLUME ENCRCY

K cm3/g j/g j/g j/g-k

SPECIFIC HEAT

C\J CP J/G-K

(/ELOCIT Y OF SOUND

M/S

\dTly

BAR/K

\dfifj

B4R-CM'»/G

12.91 -3 Q8 .7 -2 98.3 14 . 99 k . 71 6.38 1286 9.32 12213

15 13. ti't -332.6 -292.2 5 . i+l I4 . 90 6. 85 1259 9.32 II3I43 16 13.18 -295 .6 -2 85.1 5.87 5.09 7.30 12 29 9.16 1 05 31 17 13. S"* -288.? -277.6 6. ?2 5.27 7. 75 1201* 9.00 9861

18 13.51 -280 .<4 -269.6 6.78 5 .'3 8. 22 1181 8.65 92214 19 13.69 -2 72 . 0 -261 . 1 7. 214 5.58 8. 71 1159 8.70 8601

20 13.89 -263. 2 -252.1 7.70 5 . 71 9. 2i4 113'* 8.53 7958

21 11*. 10 -2 53 .9 -2i«2. 6 8.16 5.3 3 9.80 1109 8.35 7319

22 It*. 31* -2'»'» . 0 -232. 5 8.63 5.93 10 . 142 10 82 8.1<4 6662

23 -2 33 .

^4 -221.7 9.11 6 . 01 11. li* 1053 7.90 59R0

2't II4. 91 -222 .1 -210.2 9.60 6.08 11. 92 1021 7.63 5316

25 15. 25 -210.0 -197.8 10. 11 6.13 12. 33 985 7.31 14638 26 15. 65 -197.0 -18'».5 10.63 6.18 13.9i» 6.914 3951

27 16. 12 -182.7 -159.8 11 . 18 6 . 2't 15. 39 895 6.51 32I43 28 16. 70 -166 .° -153.5 11. 78 6. 30 17. 39 8 38 6.01 25145 29 17.1,7 -11+8 .fc 6.39 20. 66 769 5.1*3 1831 29.828 18.37 - 1 30 . -115.7 13.08 6.'49 25. 51 700 I4. 86 12148 29.828 95.20 lOi+.e 181.0 23.03 7 .I46 50 . 50 378 0.55 3<49 30 97. 8I» 108.2 186.5 23.22 7 . 39 28. 36 382 0.53 379

31 109.58

32 119.146

33 128.35

3i4 136.58

35 II4I4.36 36 151.80

37 158.93

38 165.95

39 172.75

<40 179. 14I

123.5 211.2

136.1 231.6

II47.? 2149.9

15 7.7 266.5

166.7 232.2

1 75 . 7 297.1

I3I4.3 311.5

192 .6 325. 14 200.7 338.9

2Q8.6 35 2.1

?i4.Q3 7.12

2I4.68 6.95

25.214 6.8I4 25.714 6.71

26.19 6.63

26.61 6.55

27.00 6.52

27.3 7 6.143 27 . 73 6.I45 28 . 06 6.I43

22 . 06 1400 19.10 I4I5 17 . 33 1428 16.12 I4I4I 15.25 I453 114.61 14614 II4.IO I4714 13. 70 1481* 13.37 I493 13.10 502

O.I46 516

O.I4I 627

0.37 723 0.35 810 0.32 890 0.31 966 0.29 1037

0.28 1106 0.26 1172

0.25 1236

i42 192. 36

l4l» 2OI4.9I4

1*6 217.22

I48 229. 27

50 21*1. 13

55 270.12

60 298.143 65 326.27

70 353.75

75 380.97

2214.C 377.9

233 . 9 1402 .9

2 53 . f I427.3 267 .9 1*51.3 282 . 1 1*75.0 317.1 535.2

351.9 590.7

3 37 . 0 61*3 . 0 I422.R 705 .8

1459 . 6 7614 . 14

2 8.69 6 .1*0 29.27 6.39

29.81 6.38

50.32 6.33

50.31 6.39

31.92 6.1*5 32.92 6.57

33.81. 6.75

3I4.69 6.99

55.50 7.23

12.67 518 12.35 5314 I?. 10 51.9 11.91 563

11. 77 576

II.514 607

II.I46 631* 11.1*9 658 11.63 680 11.85 699

0.23 1359

0.22 11*76 0.20 1588

0.19 1698

0.18 I8GI4 0.16 2060

0.15 2306

0. 13 25i*t4 0.12 2777

0.11 3006

80 .1*07. 98 1* 98 . G 821*. 1* 36.27 7.63 12.13 717 0.10 3231

85 1*31*. 33 538 . G 8 35.8 37.0 2 8.02 12. 1*7 733 0.10 31*51* 90 I46I. 514 579 .9 9149. 1 37.7k 8 .1*3 12. 81* 71*8 0.09 3675

95 1*88. 15 62 3 .fi 10 II4. 3 38.1*5 8 . 86 13.21* 763 0.09 3891* 100 511*. 66 669 . 8 1081.

5

39. 11* 9 .29 15. 61* 777 0.08 1*112 110 567. I45 768 .0 1222.

0

1*0.1*7 10. 12 11*. 1*3 805 0.07 I4514I4 120 620. 02 8 73 . 8 1369.

8

1*1 . 76 1 0 . 81* 15. 12 832 0.07 I4972 130 672. 14I 9 35 . 9 1525.

3

1*2.99 11 .1*2 15.67 861 0.06 5398

11*0 7214. 67 1102.9 1682.

6

1*14 . 17 11.35 16. 06 889 0.06 5821

150 776. 83 1223 .1 I8I4I4. 6 1*5 . 29 12.09 16. 31 917 0.05 62143

160 8 2 8.90 131*5 . 2 20 03 . 3 I46. 314 12 . 22 16. 1*2 9146 0.05 666I4 170 880. 91 11*68 . 0 21 72 . 7 I47 . 314 12. 25 16. 14I4 975 0.05 7083

180 932. 86 1500 . 6 2336. 9 148.28 12.20 16. 38 IOOI4 O.OI4 7502

190 98it. 7b 1712 .

I4 2500.2 I49. 16 12.39 16. 27 1032 O.OI4 7920

203 1036.63 1832 . q 2662. 2 149.99 11 .95 16. 12 1060 o.au 8337

220 111*0.26 2 0 69 . ? 2981 .

1+ 51.51 11 .61* 15. 80 1116 O.OI4 9170

21*0 I2143. 79 2 2 09 . c 32914. 3 52.87 11.31* I5.I49 1169 0.03 1 0 0 01

2 60 1 3I47. 25 2523 . 6 3601. I4 51*. 10 11.31 15. 23 1220 0.03 10832

280 11*50. 65 2 71*3 . 6 39 0 3. 3 55 . 22 10.88 15. 02 1269 0.03 11661

300 I5514. 01 2959 .1* 14202 . 6 56.25 10 .73 II4. 87 1316 0.03 121490

T»JO PHAS£ BOUNDARY

57
TflnLE 71. THEPMCDYNflnlC PftOPCRTIFS OF P APflH Y D ROG F

N

9 OAR ISOBAR

TEMPERA- MOLAR INTERKAL ENTHALPY FNTK'OPY SPECIFIC HEAT VELOCITY

TURE VOLUME ENERCY CV CP CF SOUND

K Cm3/G J/C- J/G J/G-K J/G-K M/S 3flR/K OIR-C^^/

11*. 102 1?. 90 -303.6 -297.0 i».99 1*. 72 6.3 3 1289 9.31. 12279

15 13.02 -302.8 -291.1 5.1*0 1. . 90 6.8 3 1265 9.33 1 11.73 16 13. 16 -2^5 .9 -294.

0

5 . 85 5.0 9 7. 29 1231* 9.18 10671* 17 13. 32 -238.5 -276.5 6. 31 5 .27 7.73 1209 9.03 996C

IS 13. '*') -280.7 -2 63.5 6.76 5.1*? 3. 20 1186 8.88 9320

19 13.67 -2 'iZ .U -260 . 1 7.22 5.53 3.6 9 1161* 8.73 3701

20 13. 86 -2 63 . 6 -251.1 7.68 5.71 9.21 111*0 8.56 8058

21 1 '4 . 0 S -254.3 -2 1» 1 . 7 8.11* 5.32 9.76 1115 8.38 71* 22 22 lU. 31 -2'»'. .5 -231.6 8.61 5. 92 10.37 1088 8.17 6768

23 1'4.57 -23'». 0 -220.9 9 . 0 S 6.01 11. 05 1060 7.91* 6110

2<» 11*. 87 -222.

S

-209.5 9.57 6.07 11.82 1C28 7.67 51.29 25 15.20 -210.9 -197.

2

10.37 6.15 12. 70 993 7.36 1*762 26 15. 59 -1 98 .

0

-Ifli.. 3 10.59 6.13 13. 76 953 7.00 1*0 81 27 16. (lU -169.6 11 .13 6.23 15. 13 906 6.56 3378

28 lb. 60 -168.6 -153.6 11.71 6.29 16. 96 851 6.10 2692

29 17. 31 -151 .

0

-135.14 12.35 6.37 19.69 788 5.55 20 11

30 18.33 -129.9 -113. i. 13.10 6.1*8 21*. 86 709 i*.89 1312

30 .567 19. 18 -n't.

9

-97.7 13 . o2 6.59 31. 35 650 i*.i*2 889

30 .567 81. itO 97.? 170.5 22.39 7.67 38.61 3 76 0.66 281

31 87.69 106.9 185 . 3 22 . 89 7 .1*6 30.61 387 0.59 365

32 98. 65 123 212. 1 23. 73 7.18 23.21 1*05 0.51 507

33 107.77 136.6 233.6 21*. 39 7.01 19. 36 1.20 0.1*6 622

3<> 115. 89 1 3 .

1

252.1* 2<».95 6.83 17. 88 1.31. 0.1*2 721

35 123. «»0 158.5 269. 6 25.1*5 6.71 16. 57 1.1.7 0.39 811

36 168.2 285.7 25.90 6.63 15.61* 1*59 0.36 8 93

37 137. 2'. 177. <. 301.0 26. 32 6.57 11*. 91* 1*70 0 .31* 971

38 ItiZ. 76 136.2 315.6 26.71 6.52 11*. 1*0 1*80 0.32 101*1* 39 150. 07 igi* .7 329.8 27. 08 6.1*9 13. 97 1*90 0.31 1115 156.22 2 3 3 . r 31*3. 6 27. 1*3 6.1*6 13.62 «*99 0.29 1182

l*Z 168. 13 218 .9 370 . 3 '8. 03 6.i*3 13. 08 516 0.27 1311

1*1* 179.63 231*. 3 396.0 28.68 6.1*1 12.68 533 0.25 li*33

<*6 19C.31 21*9.3 1*21.0 29.23 6.1*0 12. 38 5U8 0.2i* 1551

<*8 201. 75 2 61*. 0 i*i*5.6 29. 76 6.1*0 12. 15 562 0.22 1663

50 212. 1*8 273.1. i*69. 7 30 .25 6.i*l 11. 97 576 0.21 1773

55 233. 65 311*. 0 523. 7 31 . 37 6.1*7 11.69 607 0.18 20 36

60 261*. 10 31.9 . 1 586. 8 32. 39 6.53 11.57 631* 0.17 2286

65 289. 08 331*. 5 61*1*. 7 33. 31 6 . 75 11.58 658 0.15 2528

70 313. 70 1*20.5 702 . 9 34. 17 6.99 11. 70 680 O.li. 2765

75 338. 05 1*57. f 761.9 3i*.99 7.29 11.91 700 0.13 2996

80 362. 20 1*96 .

1

822.1 35.77 7.63 12. 18 717 0.12 3221* 85 386. 18 536.2 883.8 36.51 8.02 12.51 731* 0.11 ^1*1.9 90 1*10. 02 573 .3 91.7 . 3 37.21. 8 .1*3 12. 88 71*9 0.10 3672

95 1*33. 76 6 22.3 1012. 7 37.95 8 . 86 13.27 763 0.10 3892

IQO 1*57. 1*1 668 .1. 1080.0 38.61* 9 . 29 13.67 778 0.09 1.111 110 501*. it6 766 . 6 1220.8 39.98 10.13 11*. 1*5 805 0.08 1.51.5 120 551. 30 8 72 . 7 1363.3 1*1.26 10.35 15. 11* 8 33 0.08 1.9 76 130 597. 96 931* . 9 1523.1 1*2.5 0 11 .1*2 15.68 861 0.07 51.03

1<«0 61*1*. 1*9 1102.0 1682. 3 1*3.6 8 11.33 16. 08 890 0.07 5828

150 690. 91 12 22.

7

181*1*. 1 1*1* . 79 12.09 16. 32 913 0.06 6251

160 737.25 13i*i*.i* 2003.0 1*5. 85 12. 22 16.1*1* 91*7 0.06 6672

170 783.53 11.67 . 3 2172.5 1*6. 85 12 .25 16. 1*5 976 0.05 7092

ISO 829. 75 1589.9 2336. 7 1*7.79 12.20 16.39 1005 0.05 7512

190 875. 92 1711.7 25 0 0. 1 1*8.6 7 12 . 09 16. 23 1033 0.05 7930 200 922. 05 1832.3 2662. 1 1*9 .50 11.95 16. 13 1061 0.05 331*8

2 20 1011*. 23 2068.7 2981.

5

51.02 11 .61. 15. 81 1117 0.01* 9182

2<tO 1106.30 2298.8 3291*. 1. 52.39 11 . 31* 15. 1*9 1170 0.01* 100 11. 260 1 198. 30 2523.2 3601 . 6 53 .62 11.03 15. 23 1221 0.03 1081*5 280 1290. 21* 2 7 1*2.9 3901..

1

51*. 71* 10.83 15. 0 3 1270 0.03 11675

300 1 382. 11* 2959 .1 1.203. 0 55. 7 7 10 .73 11*. 87 1317 0.03 12501.

TWO PHASE 30UN0ARY

58
TARLE vr. THEOMrOVNAMIC PROPeRTIES OF PARAHYOROGEN

IC -iiii ISOSJAR TEMPLRA- MOLAR IME-^tAL

TURE \/OLUMt ENERGY

K J/f

1 4 • 1 0 J .• 7 a c J J o • b 15 13.01 -303.0

16 13. 15 -296 .1 17 13.30 -288.7

13 13. i*/ -281.0

19 13. 65 -2 72 . 7 20 13. 8t» -26i».C

21 I'.. 05 -2 5i».e 22 li».2R -21.5.0 23 li*. 51. -231.. fc c *t i U ft X « ? ? 7 C

C C O 9 ^ 25 15. 15 -211.7

26 15.53 -199.0

27 15. 97 -1 85.

3

28 16. 50 -170 .2 29 17. 17 -153 .2

30 18. 09 -133.2

31 19.58 -107.2

20. 16 -99 .7

31 .2'«8 69. 66 87.6

32 60. Ui* 137.

C

33 90. 53 12<.. 2

3(i 98.88 13 7.8

35 106. 33 11.9.6 36 113.22 160.2

37 119. 70 170.1

38 125. 89 179.5

39 131. 1 88 .5

ifO 137.61 197. 1

1*2 l^a. 71 213.7

1*1* 159. 36 229.6

itb 169.67 2'.5.G

i*S 179. 72 260 .0 50 189.57 Z7>*.7 55 213. 1*7 310.8

60 236. 65 31.6 . <. 65 259. Si* 382 . 0 73 281.67 1.18 .3

75 303.73 i. 55 . f

80 325. 58 1.91. .2 85 3<.7. 27 531..5 90 368. 82 5 7fa .7 95 390. 26 6 20 . 8 100 '11.61 667 .0 110 i.51.. 08 765 .5 120 <.96. 32 871.6

130 538. 1.0 983 .9 lUO 580. 31. 1101.

C

150 622. 18 1221 .'.

160 663. 91. 131.3 .7 170 705. 63 11.06.6 180 71.7. 26 15 8 9..^ 190 783. 85 1711.1

200 830. 1.0 18 ^1.

7

220 913.1.0 2053.2

2<.0 99b. 31 22-98.? 260 1 079. 11. 2522.

8

2 80 1161.91 271.2.6 300 121.'*. 6i» 2953 .8

TWO PHASE 33UN0ARY

ENTHALPY ENTROPY SPECIFIC

C\/ J/G J/G-K J/G-

• -295. 7 I.. 99 '. . 72 -290. 0 5.38 1..90 -282. 9 5. SI. 5.03

-275.1. 6.29 5.26

-267. 5 6.75 5 .

i. } -259.1 7.20 5.57

-253.2 7.66 5.71

-21.0 . 7 8. 12 5 . 92 -230.7 6.58 5.92

-220.1 9.06 6.03

-208.7 9.51. 6.07

-196.6 10.01. 6.13

-183.5 10.55 6.13

-169.3 11.08 6.23

-153.7 11.65 6.23

-136.0 12.27 6.36

-115. 1 12.98 6.1.6 -87.6 13.88 6.63

-73.5 11..17 6.71

157.3 21.72 7.93

187.5 22.68 7.50

21'.. 3 23. 52 7.22

236. 7 21.. 17 6.97

255.9 21.. 73 6.31

273.1. 25.22 6.70

289.9 25.67 6.63

305.1. 26. 09 6.57

320 . 3 26.1.8 6.53

331.. 3 26.81. 6.50

362.1. 27.52 6.1.5 339.0 28 .13 6 .1.3

1.11.. 7 28.70 6.1.2 1.39.7 29.21. 6.1.2

1461.. 3 29.71. 6.I.?

521.. 2 30. 88 6.1.3 583.0 31.91 6.59

o'-.!.!. 32.31. 6.76

7 0 0.0 33.71 7.00

759. 3 31.. 53 7 .29 819.3 35. 31 7.61. 881.3 36.06 8.02

91.S.5 36. 79 8.I.I. 1011.1 37.50 8.37

1073.6 38.19 9.30

1219.6 39.53 10.13

1367. 9 I.C.82 10.35

1522.3 1.2.06 11 .1.2 1681.1. 1.3.23 11 .31. 181.3.6 i.'..35 12.10

2007.6 1.5.1.1 12.23

2172.2 1.6.1.1 12.25

2336. 5 1.7.35 12.20

2500. 0 1.8.23 12.09

2662. 1 1.9. 06 11 .96 2981.6 50.59 11 .61. 3291.. 6 51 .95 11 .31. 3601.9 53.18 11.03

3901.. 5 51.. 30 10.83

1.203 .1. 55 .33 10 . 73

HEAT VELOCITY K/ CP OF SOUND

\\i r %

\ M/S BAR/K aAR-CM^

6. 38 1292 9.35 1231.5

6. 81 1270 9.31* 116 01 7.27 1239 9.21 10736

7.71 1211* 9.06 1 00 57

8. 18 1191 8.91 91.15 8. 66 1169 8.76 3799 9.17 111*5 8.59 3156

9. 72 1121 8.1*1 7521.

10 . 32 1091* 8.21 6872 10.97 1066 7.98 6220

11. 71. 1035 7.71 5539

1 n n 1 X U U 1 7f • U\* 1

a a 7 13.59 962 7.06 142 08

11.. 81. 917 6.65 3532

16. 52 865 6.19 2850 19.00 801* 5.66 2166

23. 26 731 5.Q1* 11.85

53. 89 633 1..21. 781.

1.0. 60 600 3.98 591* 52. 16 371* 0.79 213 31.66 393 0.65 367

23. 86 1.11 0.56 511

20. 33 1.27 0.50 627

0 • 1* 6 7 7 A 16. 91 <*5i» 0.1*3 819

15. 91. 1.66 0.1*0 903

15. 22 1.77 0.38 982

11.. 65 1.87 0.36 10 57

11.. 20 <.97 0.31* 1128

13.52 515 0.31 1261. 13. 03 531 0.29 1391 12.67 51*7 0.27 1513

12.1.0 561 0.25 1630

19i .1 • 141 3 5 75 U • C H 1 7 i» ? 11. 81. 606 0.21 2012

11.69 6 31* 0.19 2267

11.68 659 0.17 251 3 11. 78 6 81 0 .15 2753

11.97 700 0.11* 2987

12.21. 718 0.13 3217

12.56 731* 0.12 31.1.1. 12.92 71*9 0.12 3668

13. 31 761* 0.11 3890

.7 7 n 1 -5 . f U (to u . 1 0 1. 1 1

1

11.. 1.8 806 0.09 1.51.7 15. 16 831* 0.09 1.979 15. 70 862 0.08 51.0 8 16. 09 891 0.07 5831. 16. 33 919 0.07 6258

16. 1.5 91*8 0.06 6681

16.1.6 977 0.06 7102

16. 1*0 1005 0.06 7522

16. 28 1031* 0.05 791.1 16. 11. 1062 0.05 3359

15. 81 1117 C.05 9191. 15. 50 1171 C.Oi* 100 27

15.21* 1222 0.01* 10859

15. 0 3 1271 0.0<* 11689

11*. 87 1317 0.03 12519

59
TABLE THERMOOyNflMIC PROPFRTItS OF P AF fl H Y 0 ^00 F N

12.5 84R ISOBAR

TEMPERA- MOLAR INTERNAL lNTHALPY ENTFQPY

TURE VOLUME enf:rgy

K Cm3/g J/C J/G J/G-K

11*. 215 12. 87 - 3C a . 5 -2 92 .i^ 5.00

15 12.97 -30 3 . 1. -287.2 5.35

1& 13. 11 -296.6 -280.2 5.80

17 13.26 -219 .

'. -272.

6

6.25

18 13. hZ -261 .7 -26'.. 9 6. 7C 19 13. 59 - 2 73 .F -256.5 7. 15

20 13.78 -2 6'.. 9 -21.7. 7 7.61

21 13. 99 -255.8 -238 .1. 8.06

22 14.21 -2'.6. 2 -2 2 3.5 8.52

23 li». <»6 -236.0 -218.0 8.99

Zi* I'*. 73 -225.2 -2C6.

8

9 . '.6 25 15. -213.7 -19'.. y 9.95

26 15. 39 -201.'. -182.2 10 .'5

27 15. 80 -1 "^8 . 2 -163. ' 10.97

28 16.28 -173.8 -153.5 11.51

29 16.87 - 1 5 3 . e -136.9 12.09

30 17. 62 -I'.O .0 -118.0 12. 73

31 13.68 -118.7 -95. 3 13. '.8 32 Zb.kl -93.1 -b^. 5 11.. 1.5 32 . 25. 12 - '3 . ' -12.0 16.07

32 . 7t»5 '3.03 to . 9 91. . 7 19. 3 3 33 51. 7i* 68.2 132. 8 20 . 'g

3i» 65. 28 10 2.6 18i^. 2 22. 0 3 35 7it. 02 121 .9 211* . < 22.91

36 81. 15 136.8 238.2 23.58

37 87. <»6 1'49.5 253.9 21.. 11. 33 93. 26 161 . 0 277 .5 21. . 61. 39 98.70 1 71 .

5

2 9'. . 9 25 . J9

i*G 10 3.87 131.'. 311.3 25 . 51

113. 62 2 00 .0 3'^2. 0 26. 26 122.81 217.3 370 .8 26 . 9 3 131.60 2 33 . 8 398.3 27 .5'.

It 8 1^*0. 03 2'.9 .

7

'2'^ . 3 28.10

50 l'«8. 33 265 .2 '50.6 28 .63

55 168. 19 302.7 512.9 29. 82

60 187.27 339 .3 573.'. 30. 37 65 205.85 375 .8 633. 1 31. 83

70 221*. 05 '.12.7 6 92 . 8 32.71

75 21*1. 98 '53 . 5 753. 0 33. 51.

80 259. 7J '89.6 811.. 2 31.. 3 3 85 277. 26 5 20 .2 376. 8 35. 09

90 29<». 67 5 72 . 6 91.1 . 0 35 . 32 95 311. 99 617 .C 10 0 7 . J 36.51. 100 329. 21 6 63.1. 1075.0 37.2 3 110 363. <! 7 62 .1. 1216.

7

38.53

120 397. 39 868 .8 1365 . 5 39.8 8 130 '31.21 931 .1. 1520. 1^ 1^1.12

I'ifl '6'*. 89 10 98 . 8 1679.9 1+2.30 150 '98. <*7 1219.3 131.2. < '3. 1+2

160 531.98 1 3 '.1 . 8 20 06. 7 ''.'3

1 70 565. hi 11. 61. . 8 2171 .6 '5 .'8

160 598. 79 1587.6 2336. 1 '6. '2 190 632. 13 1709 .6 21.99 . 3 (7 . 30

2 00 665. '2 1 8 30 .3 2662.0 '8. 11. 2 20 731.92 2 0 66 .9 2931. 8 1.9. 66

2*0- 798. 32 22 97 . e 3295, 1 51. 02 260 86'.. 65 2521 .8 3602.6 52 .26 280 930.92 27 1.1 . 7 3905. 3 53. 3 3 300 997. 15 2958 .

0

'20'^.'^ 51.. 1+1

TWO PHASE BOUNDARY

SPECIF IC HEAT VE LOCIT Y WpI Ci/ CP OF SOUNO V J/G- K M/S PAR/K ;1AR-C^'3

'* . 73 6.3 3 1299 9.36 12510

< . 89 6.75 1232 9.37 11918

5.03 7. 21+ 1251 9.29 10987

5 . 25 7.67 1226 9.13 1 0297

5.1.2 3.13 1203 3.98 961.9 5.57 3.59 1181 8.83 90 1.1 5.70 9. 09 1153 8.6 7 3 3 96

5 . 31 9. 62 11 31. 8. 1+9 7773 5.91 10. 19 1103 8.29 7121. 5.99 10.81 1031 8.06 61+86 6.37 11.51 1052 7.81 5 8 36

6 . 12 12.33 1019 7.52 5173

6 . 17 13.21 933 7.19 1+520 6.2? !<. 31 91.2 6.81 3862

6 . 27 15. 71+ 895 6.38 3192

6.33 17. 62 81.2 5.90 251.6

6.1+1 20 . 1+1 780 5.36 1911 6.51 25. 39 705 1.. 72 1277

6 .72 39. 0 J 603 3.89 627

7.83 ?i+2. 52 1.13 2.51 55 9.13 375. 55 365 1.1.0 33 6.5J 86. 56 373 1.11 11.0 7.55 35. 79 1.08 0.83 352

7 . 15 26. 12 1.27 0.70 1+ 99 6.93 21.92 1.1.3 0.63 620

6 . 79 19. 52 1.57 0.57 726 6.59 17. 91. 1.69 0.53 821 6.63 16. 82 1.80 0.1.9 910 6.5 3 15. 99 1.91 0.1+7 992

6 .52 li^. 82 510 0.1+2 111.6

6 .1*3 11+. 03 5 28 0.38 1288

6 . 1+6 13. 1.8 51.1. 0.35 11+21

6 .1+6 13. 06 559 0.33 151+7

6 . 1+6 12.75 5 71. 0 .31 1668 6.51 12. ?! 606 0.27 1951+

6 .61 11 . 99 6 31+ 0.21. 2221 6.73 11.91 660 0.21 21.77

7 .01 11. 97 6 82 C.20 2721+

7 .31 12. 13 702 0.18 2965

7.65 12. 37 719 0.17 3201 8.03 12.67 736 0.16 31+33

8 . i.!. 13.02 751 0.15 3661 8.87 13.39 766 0.11. 3887

9 . 3 J 13.78 7 80 0.13 1+111 10.1'+ 11+. 51. 806 0.12 1+553 10 . 86 15. 21 836 0.11 1.989 11 .1+3 15. 71* 861+ 0.10 51+22

1 1 . 3'+ 16. 1 3 893 0.09 5351 12.10 16. 36 921 n.oa 5277

12.23 16. 1.7 950 0.38 6702

12 .25 16. 1.8 979 0.07 7125

12. 20 16. 1.2 1008 0.07 751.7 12.10 16. 30 10 36 0.07 7968

11 . 95

' 16. 15 106'» 0.06 8 388

11 .bi. 15.82 1120 0.06 9225

11 . 31+ 15.51 1173 C.05 13060

11.03 15. 25 1221+ 0.05 10893

10.33 15. 01+ 1273 0.01. 11721. 10.73 11+. 83 1319 0.01. 12555

60
TABLE VI. THEKHCCYNAMIC PROPEPTIlS OF P ARAH Y D ROGE

N

15 3H>i ISOBAK

TEMPERA- MOLAR INTFR^'AL ENTHALPY ENTROPY

TURE VOLUME ENERGY

K cm3/g J/C J/G J/G-K

114.296 12. 85 -30 8 .'* -2 39.1 5.00

15 12. 9'» -303.

9

-231* . 5 5 . 32

16 13.07 -2 17 .

1

-2 7 7,5 5. 76

17 13.22 -290 . C -270.1 6.21

18 13.37 -2 82 .1* -262.3 6 .66

19 13. 5'* -2 ?' . 3 -251*. 0 7.11

20 13.73 -265 .8 -21*5.2 7.56

21 13.92 -256 .9 -236.0 8.01

22 lU. li» -21*7. 1. -226.

2

8. 1*7 23 Ik. 38 -237.'* -215.3 8.93

Zk 11+. 6it -226 .8 -2 01*. 3 9.39

25 I'*. 93 -215.6 -193.2 9.37

2b 15. 27 -203.6 -180.7 10. 36

27 15. 6'» -193.8 -167.3 10.86

28 15. 03 -177.1 -152.9 11.39

29 16. 61 -162 .1 -137.2 11. 91* 30 17. 26 -l'»5 .5 -119.6 12.51*

31 18.10 -126.6 -99.1* 13. 20

32 19.31 -1 0'* . 0 -75. 0 13.97

33 21. I4O -73.3 -1*1 . 2 15. 01

3'» 30. 16 -1 .'^ 1*3 . 1* 17.53

35 '+8.8'* 77 .

1

150.1* 20 .61* 36 57. 99 lOi+.fl 191. 8 21.81

37 6'*. 95 123.8 221 . 2 22.61

38 70.82 138 . <r 2^5.1 23.25

39 76. 11* 152.0 266. 2 23.80

'tO 81.06 1 t3.a 235.1* 21*. 29

1*2 90.07 1 85 . 0 320 .1 25. 13

93 . 37 20'*. 1 351.7 25.37

kb 106.19 2 22 . C 381.3 26. 53

1*8 113. 66 239.0 1*09. 5 27.13

50 12c. 87 2 55 . 3 1* 36 . 6 27.63

55 138. 05 291* .'* 501.5 28. 92 60 15'*. 1*1 3 32 . 2 563.9 30.00

65 170.2'* 369 .5 621*. 9 30 . 98

70 185.69 1*07 .1 635.6 31. 88

75 200. 86 '*'*5 .

1* 71*6. 7 32. 72

80 215. 83 k'M* .9 3 03 .6 33.52

85 230. 62 525.9 371.3 31*. 29

9u 2'*5. 23 5 6 3.6 936.6 35.0 3 95 259.8'* 613.3 10 03.1 35. 75 100 27'4 . 30 659.9 1071.1* 36 . 1*5 110 302. 99 759 .1* 1213. 3 37.80

120 331. 1*6 3 66 . 0 1363.2 39 . 10 130 359. 76 978.9 1518 . 6 '*Q . 35

l^fO 387. 9'* 10 96.5 16 73. 1* 1*1 . 53

150 '*lb. 02 1217.3 13'*1 . 3 1*2 . 66

160 '1*1*. 0 1 1339.8 20 05. 9 1*3 . 72 170 1*71.9'* 11*63.0 21 71 . 0 1*1*. 72 180 i+gg. 82 1586 . C 2335. 7 1*5. 66 190 527. 65 1708.1 21*99. 6 '6.5'*

2 00 555 . 1*5 1823.9 2662.0 '*7. 38 220 61C. 91* 2 0 65 .

7

2982 . 1 1*8.90 240 666. 31* 2296 .

1

3295. 6 50.27

260 72i;66 25 20 . a 3603 . 3 51.50

280 776. 9'* 27 '*0 . 8 3906.2 52.62

3 00 332. 16 2957 .2 1*205 .'* 53.65

TWO PHASE BOUNDARY

SPECIFIC HE AT VELOCITY \0 1 ly \U r 1 CV C P OF SOUND

J/G- K M/S B AR/K BAR-CM^

'* . 71* 6. 38 1306 9.38 12671*

1* . 39 6.70 1295 9.1*0 12228

5.07 7.20 1263 9.36 112 31* 5 . 25 7. 62 l?i*0 9.20 1 0598

5 . 1*1 8.06 1217 9.05 9939

5 . 56 3.52 1191* 8.90 9303

5.69 9.00 1172 8.71* 8676

5.30 9.51 111*8 8.56 301*5

5 . 90 10. 06 1123 8.36 71*08

5 . 99 10.65 1097 8.15 6765

6.06 11. 32 1068 7.90 6103

6.12 12. 05 10 37 7.62 51*67

6 .17 12 . 91 10 03 7.31 1*3 06

6 .23 13. 81* 966 6.95 1*191

6 . 26 15. 05 923 6.56 351*5 6. 32 16.60 871* 6.11 2909 6.33 13. 63 820 5.62 2295

6 . 1*5 21 . 93 757 5.07 16 36 6.57 27. 62 682 '*.'*2 1106 6.30 1+2. 99 581 3.58 531* 3.76 171*. 98 395 2.05 78

7 . 70 51*. 0 7 1*15 1.17 21*5 7.27 33. 56 '*3i* 0.91* 1*03 7.02 26. 25 1*50 0.82 51*2 6 . 35 22. 60 1*65 0.71* 657

6.71* 20.01 1*75 0.67 761 6.67 13. '*'* 1* 87 0.62 857 6.53 Id. 1*5 508 0.55 1030 6.53 15 . 23 526 0 .1*9 1187 6.51 11*. 1*0 51*3 0.1*5 1331 6.50 13.81 559 0 .1*2 11*68 6.53 13. 37 573 0.39 15 97

6 . 51* 12 . 66 606 0.33 1899

6.61* 12. 30 635 0.29 21 78

6 .30 12. 15 661 0.26 21*1*1* 7.03 12. 16 683 0.21* 2699

7 . 32 12. 29 703 0.22 291*6

7 . 66 12.50 721 0.20 3187

8 .01* 12. 79 738 0.19 ?it23

8 . 1*5 13. 12 753 0.18 3656 8.83 13. 1*8 768 0.17 3885 9.31 13. 86 732 0.16 1*1 12 10.11* 11*. 60 310 0.11* 1*559 10.86 15 . 26 638 0.13 50 00

1 1 . 1*3 15.78 866 0. 12 51* 36 11.85 16. 16 8 95 0.11 5868

12.10 16. 39 923 0.10 6297

12.23 16.50 952 0.10 6721* 12 . 26 16. 51 981 0.09 7150

12 . 20 16. ''* 1010 0.08 7573 12.10 16. 32 1038 0.08 7995

11 .96 16. 17 1067 0.08 31*16 11.65 15. 81* 1122 0.07 9256

11 . 31* 15. 52 1175 0.06 1 00 92 11.09 15. 25 1226 0.06 10927

10 .33 15. 01* 1275 0.05 11760

10.73 11*. 89 1322 0.05 12592

61
TABLE \/r. THERMrOYMflMIC PROPERTIES OF P APflH Y DROOEN

20 3AR ISOBAR

TEMPERA- MOLAR INTERNAL ENTHALPY ENTROPY

TURE VOLUME ENERGY

K Cm3/g J/G J/G J/G-K

1 • 5 7 12*80 —308.1 7 • U 1 15 12. 87 -30<«. 7 -279.0 5.25

16 13.00 -298 .1 -272. 1 5.70

17 13. 1<* -291.1 -26'*. 8 6.11. 18 13. 29 -293.6 -257.1 6.58

19 13. 1*3 -2 75.8 -2I.8 . 9 7.02

20 13.62 -267.5 -2'^0.2 r.k?

21 13.81 -258 . 8 -231.1 7.91

22 li*. 01 -2i»9 .6 -221.5 8.36

23 li». 23 -239.9 -211 . ' 8.81

cH \ La. 1x7 - ? P Q 7 -200 . 3 ^ . c ri 25 l^.. 7^ -218 .

9

-189. ' 9.72

26 15. ai* -207.6 -177.5 10. 19 27 15.33 -195 . 5 -Ibi*.? 10.67

28 15. 76 -182.7 -151.1 11.17

29 16. 19 -168.° -136.5 11.68

30 16. 71 -154 .1 -120.7 12.22

31 17. 3't -137.9 -103.3 12.79

32 1«. 12 -119.9 -83.7 13. 'I

33 19. 15 -99 .'^ -61.1 1<..10 Of C U • DC Ma. Q P 35 23.03 -'3.9 2.1 15.96

36 27. 52 -2 . 1 53.0 17.39

37 S^. 60 ^3.8 113.0 19. Df. 38 1*1. 38 77. 1 159.9 20 .29

39 '7.12 101.6 195. 3 21.22

1*0 52. 07 1 20 .7 22'^.9 21.96

I*Z 60.55 1 iO .9 272. 0 23. 11

1*1* 67. 77 1 75.1 310.6 2'..01

i*b 7'«. 1*7 196.5 3'^5.5 ^'.78

/a•f Ao ft n 7 9 C 1 D • C CO • H f 50 86. 61* 23'^. e "07.9 26. 09

55 100.51 277.5 '73.5 27. '3

60 113. '6 317.8 5I*'. . 7 28.53

65 125. 85 356.9 6 0 3.6 29.61

70 137.86 395.8 671.5 30. 51^ 75 l'»9.57 "35.2 73'+. 3 31. '1

80 161. 08 '75.5 797. 7 32.22

85 172. 1*2 517.3 362.1 33.01

90 183. 62 5 eo .7 927. 9 33. 76

QCHo 19^+ .72 6 0 5.^ 995 . 3 S*. • 9 100 205.73 6 53 .ii 10 &' . < 35.2 0 110 227.52 7 53 .2 1208.3 36.56

120 2'.9. 09 8 60 .6 1359.

8

37.8 7 130 270. 50 9 ?< .0 1515.0 39. 12

1(»0 291. 79 1092 . 0 1675.6 '0.31

150 312.98 1213.2 1839. 1 <!.''.

160 331*. 09 1335 .

1

20 0'.. 3 '2.51

170 355. 13 l'^59.6 2169.

3

'3.51

160 376. 13 1582.8 2335. 0 ''.'6

190 397. 08 1705.1 2'+99.2 1*5 . 3'. 200 '17. 99 1826.0 2662 .

0

i*b.a

220 (.Sg. 73 2 0 63 .

2

2982.7 1*7.71

2'»a 501. 37 2293 . 9 3296.

7

'9.07

260 5i»2. 9i» 2518.8 360't. 7 50.31

280 58'*. i»5 2739.0 3908. 0 51.1*3 300 625.93 2955 .6 '207.5 52.i*(,

* TWO PHASE BOUNDARY

SPECIFIC HEAT \/FLOCITY \drh,

CP OF SOUND 1 1 y

J/G- K M/S eA?/K B1R-CH3

k.77 6.39 1319 9. 'I 129 96 '.83 6.63 1311 9 • ' 5 1 2651

5 . 06 7.09 1288 9. '3 11351

5.2:^ 7.53 126'. 9.32 11097

5.i^3 7.96 12'^0 9.18 10'4l5

5.5'^ 3. 1.1 1219 9.03 9771

5.67 8. 86 1196 8.97 9158

5.79 9. 3'^ 1173 8.70 8528

5.39 9. 35 1150 B.51 79C9

5.93 10. 39 1125 8.31 7273

6.35 10. 98 1099 8.08 66<.7

D • 1 1 11 7 1 n 7 n 7 ft 9 o n 7 9 U c c 6 . 17 12. 35 10 39 7.53 5393

6.21 13. 15 1006 7.21 "780

6.26 1'^. 08 «^69 6.86 '17'^ 6.30 15. 17 929 6. 1^7 3586

6 . 3i^ 16. 57 89'^ 6.05 299'^

6. 'J 19. 37 835 5.59 2'^30

6 .'6 20.90 780 5.08 1881

6.5'^ ^'.61 719 i*.SZ 1373 6.67 30. 65 fe'.g 3.90 915

La? 7 "? ~ D 07O • 117f 7 CO

7. 3J 59.51 U^l* 2.39 300 7.32 5'^. 8 7 '66 1.76 290 7.23 '0. 86 '69 l.<*2 388 7.06 31.87 4.77 1.20 505 6.92 26.66 '88 1.06 618

6 .73 21. 10 508 0.88 82<. 6.62 18. 3'^ 527 0.76 1002 6.53 16.66 5'^i+ 0.68 1169

6.57 15.56 560 0.62 132'^

6 • 5 6 !' . 78 n c 7 1 * 69 6.60 13.58 609 0.'^9 1801 6.69 12. 9'^ 638 O.f^l 2103

6. 3i^ 12.6'. 66l^ 0.37 2386

7.06 12. 55 687 0.33 2655

7.3'4 12. 6D 707 0.30 291'^

7.63 12. 77 725 0.28 3165

8 . 06 13.01 71^2 0.26 3'^10 8. '7 13.31 757 365C 8.89 13. 65 772 0.23 3886

9.32 1'^ • 0 0 TOT for n 1 * '119

10.16 1'^. 72 Slf^ 0.19 '576

10.97 15. 36 8'^2 0.17 5025

ll.'^'^ 15. 87 871 0.16 5'^67 11.85 16.23 899 0.15 5905

12.11 16. '5 928 O.li* 6339

12 .2'^ 16. 55 957 0.13 6771 12.26 16.55 986 0.12 7199 12.21 16. '8 101'^ 0.11 7626

12.10 16. 35 lO'.S 0.11 8051 11.97 16. 20 1071 0.10 8'^75 11 .65 15. 86 1126 0.09 9318

11.35 15. 5'^ 1180 0.08 10159

11. 39 15. 27 1231 0.08 10996

10.89 15. 06 1279 0.07 11831

10.73 1<..90 1326 0.07 12665

62
TABLE tfl. THE'^MCOVNaMIC PPOPeRTIES OF P flPfl H Y ORO&E N

25 ;^4R ISOGai< TEMPERA- MOLAS INTERf AL lNThALPY ENTROPY

TURE \/OLUME ENERG Y K J/G J/& J/G-K

l't.615 12. 76 -30 7.3 -275.9 5.03

15 12.80 -305.? -2 7 3 . 1. 5.19

16 12. 93 -299.0 -266.7 5,63

17 13.06 -2 92.1 -2 59 .1* 6.07

18 13.20 -23 < . 8 -2 51.3 6.51

19 13. 36 -2 77.1 -21*3 . 7 6.91* 20 13.52 - 2 6 9 . C -2 35.2 7,38

21 13. 7 0 -2 .5 -226.2 7,82

22 13. 89 - 2 51 . 6 -216.3 3,25

23 l**. 1 0 -2 1*2 .

2

-2 06.9 8.69

2'f 11*. 32 -2 32 .7 -196.5 9.11* 25 li*. 57 -221 .9 -185.5 9.59

26 li*. Si* -2 11.0 -173.9 10.01* 27 15 . IS -199 . 5- -161.6 10.50

28 15. -157.1* -1W3. 7 10,98

29 15. 36 -171*.

5

-1 31* . 9 11 , 1*6 30 16. 30 -160 .9 -120.1 11,96

31 16.81 -11*6 . 2 -101*. 2 12, 1*8 32 17. i»0 -1 30 . 5 -87.0 13 . 0 3 33 18.13 -113.2 -57.9 13, 62

3<» 19. O't -91* . 3 -1*6 . 6 11* . 25

35 20.23 - 72 .9 -22.1* 11* . 95

36 21. Sit -'8.6 6 . 0 15.75

37 2"*. 11 -20.7 39.5 16.67

38 27. 2'+ 13.1 73.2 17.70

39 31.15 1*1 . C 113.3 18 . 76

<»0 35. 31 68.0 156.3 19 . 71

'2 1*3. C5 110.7 213.3 21.22

'»<« it9. 77 1U2 , e, 267,2 22 . 36

<»b 55.76 169.1 3 0 3 ,5 23. 28

(»8 61.25 192 . G 31*5 , 2 21*. 06

50 66. 32 212.3 378 ,6 21* . 71* 55 78.17 259.9 1*55 , 1* 26.21

60 89.06 3 03 .1 5 25,7 27 . 1*3 65 99.37 3 l*!* . 1 5 92,5 28.50

70 109. 29 331*. i» 657,6 29 . 1* 7 75 118. 92 it? it . Q 7 22 ,2 30.36

80 128.31* I* 66 . 2 787.1 31.20

85 137.59 5 0 3 .7 852.7 31.99

90 Ihb, 72 5 52 . 7 919.5 32 . 75

95 155. 7'* 5 98 . ^ 987. 8 100 161*. 67 61*6 .

0

10 57 . 7 31*. 21 110 132. 30 71*7 .

2

12 0 2.9 35.59

120 199.72 8 55.? 1351* . 5 36. 91 130 216.99 969 .

1

1511.6 38 . 17

1<>0 231*. LI* 10 3 7.6 16 72.9 39 . 36

150 251.19 12 09.1 1837.1 1*0 . 50

160 263. 16 13 32.3 20 02 . 7 1*1 . 56 170 285. 07 1 1*5 6 . 1 21 63 . 3 1*2,5 7 180 301.93 1579 ,6 2331* , + 1*3,5 2 190 313. 75 1702.1 21*99, 0 1*1*. 1*1 230 335.53 1323.3 2662 , 1 1*5 . 21* 2 20 369. 01 2 0 6 0 . P 29 33,3 1*6 . 77

2'»Q 1*0 2. 39 2291.3 32 97,

3

1*8, 11* 260 1*35. 71 2 516.0 3606.2 1*9,3 8 280 1*63. 97 2737.3 3909 , 7 50,50

3ac 502.19 295"* . 1 1*209. 5 51 , 51*

TWO PHASE BOUNDARY

SPECIFIC HEA T VELOCITY w r 1] CP OF SOUND

J/G- K M/S 3 AR/K >jar-cm3/

1* . 79 6. 38 13 32 9.1*1* 13313

1.. 37 6, 55 1329 9.1*7 13127

5 . 06 7,00 1310 9.50 123 81* 5.23 7 . 1*6 1285 9.1*1* 1 15 76 5.33 7,87 1261* 9.30 10931

5.53 8.29 1 21*1 9. 15 10273

5.65 8.73 1220 9.0 0 961*2 5.77 9. 18 1198 8.81* 90 30 5.33 9. 66 1176 8.65 31*12

5 . 96 10.16 1152 8.1*6 7796

6 . 01* 10.70 1127 8.21* 7171

6 . 11 11.23 1100 7.99 6555

6 . 16 11 , 92 1072 7.73 59 36

6 , 21 12,60 101*2 7. 1*3 531*9

6 , 25 13, 37 1009 7.11 1*769 6,29 11*, 25 971* 6.76 1*193 6.33 15, 31 935 6.39 3619

6,37 16. 52 8 95 5.98 30 89

6 , 1*2 13.07 850 5,55 2567

6,1*7 20 . 07 802 5,10 2072

6 . 53 22.59 750 i*,&0 1628 6.6e 26. 06 695 i*,08 1226

6.73 30,80 638 3,53 888 6.83 36, 58 586 2.98 6<*5

7 . 05 1*0 . 39 51*0 2.1*5 509

7 . 11+ 39. 99 517 2.01* '+78 7.06 35.52 513 1. 73 5 23

6 .91 27. 10 520 1.31* 690

6 . 73 22.20 531* 1.11 872 6.69 19. 31 550 0 .96 10 1*8 6.61* 17. 1*9 565 0.85 1213 6.53 16 . 29 579 0.77 1365 6.65 11*. 57 611* 0.6<* 1721 6.73 13,62 61*3 0.51* 20 1*2 6.33 13 , 15 669 0.1*8 231*0 7.09 12 , 91* 692 0 .1*3 2621

7 . 37 12. 92 712 0.39 2891

7,70 13. 03 730 0.36 3151 8.03 13,23 71*7 0.33 31* 01* 8 . If 3 13,50 762 0.31 3651 8.90 13. 81 777 0.29 3893

9.33 11*, 15 792 0.27 1*131 10.17 11* . 81* 8 19 0. 21* 1*597 10.83 15 . 1*5 81*7 0.22 5C53

11 .1*5 15 . 95 875 0.20 5502

11.86 16.30 901* 0.19 591*5 12.12 16.51 932 0.17 6381*

12.25 16. 60 961 0.16 681°

12.27 16.50 990 0.15 7251 12.22 16, 52 10 19 0.11* 7681 12.11 16 , 39 101*7 0.13 8108 11.97 16, 23 1076 0.13 8531. 11 .66 15.89 1131 0.12 9382

11 . 35 15,56 1181* 0.11 10226

11.09 15. 29 1235 0.10 11066

10 .89 15, 03 1281* 0.09 11903

10.71* 11*, 91 1330 0.08 12739

63
TABLE THERMCDYNflMIC PROPTRTII^S OF P fl'^A H Y OROGEN

30 B4R ISOBAR

TEMPERA- MOLAR INTERtflL FNHALPY ENTROPY

TUPE VOLUME ENERGY

K cm3/g J/G J/G J/G-K

SPECIFIC HEAT

CV CP J/G-K

VELOCITY

OF SOUNC

"/S DAR/K 04R-C«3/G

l** .772 12. 72 -307.6 -269. (4 5.01. 1. . 81 6.38 131.5 9.1.7 1 3621. 15 12. 7i* -306.2 -267.9 5. 11. 1. . 86 6.«.7 131.5 9.1.9 1 55 86 16 12. 86 -2 99 .

H

-261 . 2 5.57 5 . 05 6.93 1726 °.5i. 12795

17 12. 99 -2 33.1 -251.. 1 6 . C 0 5 . 22 7.37 1306 9.51 1?076

IS 13. 13 -2 85 .9 -21.6. 5 6.1.3 5.37 7. 78 1.285 9.1.0 1 11.09 19 13.27 -278.3 -238.5 6.87 5.52 8.20 1262 9.27 10732

20 13. <43 -270 .i* -230.1 7.33 5.65 8. 62 lPi.1 9.1? 10 091.

21 13.63 -262 .

1

-221.3 7.73 5.76 9.05 1221 8.96 91.89 22 13. 78 -253. 1. -212.0 8.16 5. 96 9. 50 1199 8.79 8876

23 13.98 -21.1. . ? -202.3 8.59 5.95 9. 97 1177 8.59 82 7?

2it 11.. 19 -231.. 7 -192.

1

9.02 6.03 10.1.7 1153 8.39 7656

25 11.. 1.2 -221. . 6 -181.1. Q. 1.6 6.10 11.00 1123 8.16 70-^ 1. 26 11.. 67 -211..

1

-170.1 9.90 6.16 11.57 1102 7.90 61.62 27 11.. 91. -2C3.1 -15 8.2 ir . 35 6.21 13.17 1071. 7.63 5835

28 15.25 -191 .5 -11.5. 7 10.81 6.26 12. 81. lCi.1. 7.33 5316

29 15. 59 -179 . 3 -132.5 11.27 6 .29 13. 57 1013 7.01 1.762 30 15. 97 -166 .1. -118.5 11.71. 6. 33 11.. 39 980 6.67 1.223

31 16. 1.0 -1 S2 . 9 -1C3. 7 12.33 6. 36 15. 36 91.3 6.31 3688

32 16. 89 -138 .5 -37.8 13.71. 6.1.0 16. 1.7 905 5.93 3181. 33 17. 1.7 -123.1 -70.7 13. 36 6.1*1. 17.83 861. 5.52 2698

31* 18. 15 -106.6 -52. 1 13.83 6 .1.3 19.38 822 5.10 2258

35 18. 97 - 88 . 7 -31.8 11.. 1.1 6.53 21.25 778 1..66 1858

36 19. 97 -69.1. -9.1. 15.01. 6.59 23. 56 733 1..21 11.98 37 21.23 -1.8 . 3 15.1. 15. 72 6.66 26 .21. 686 3.75 11 96 38 22. 82 -25.5 1.3.0 16.1.5 6 . 75 38.93 61. 1. 3.39 967

39 21.. 80 -1 .? 73.2 17.23 6. 81. 31. 20 607 3.87 809

27. 17 23.6 105.1 18.01. 6.91 33. 1.1. 580 2.1.9 718

1.2 32. 71. 69.° 168.1 19 .53 6.93 50. 17 556 1.93 711

<»<* 33. 1.2 103.5 223. 3 30.88 6 . 86 25. 57 556 1.55 830 '6 1.3.69 1 1.0 . 0 271.1 31.93 6.79 22. 01 565 1.31 981.

<»S 1.8. 57 166.8 312.5 22.81 6.73 19. 56 576 1.11. 111.1. 50 53. 12 190 .5 31.9. 9 23.57 6.70 17.90 589 1.02 1299

55 63. 1.9 21.2.1 1.32.6 25 . 15 6.71 15. 1.9 630 0.31 1663

60 72. 9o 288 . 2 5 07 . 1 26.1.5 6.77 11.. 31 61.9 0.69 1998

65 81. 86 3 51 .2 576. 8 27.57 6 .91 15. 65 675 0.60 23 07

70 90. 36 3 73 .1 6'.'. . 3 28.57 7 .12 13.33 698 0.53 2599

75 98. 59 1.11. . 7 710.5 29.1.8 7.39 13.21. 718 0.1.8 2877

80 106.60 1.57.0 776. 8 30. 31. 7 . 72 13. 39 736 0.1.1. 311.5 85 111.. 1,6 5 00 .2 8 1. 3 . 6 31.15 8 . 09 13. 1.5 752 0.1.0 31.05 90 133. 19 51*1. .9 911.1. 31.92 8.53 13.69 768 0.38 3658

95 124.81 591.1 980 .6 3? .67 3.92 13.98 782 0.35 3906

100 137. 35 6 3 9.2 1051.2 33. 39 9 . 31. 11.. 29 797 0.33 1.11.9 110 152.20 71. 1 .2 1197.8 31.. 79 10.18 11.. 96 821. 0.39 1.622 120 166. 85 3 1. 9 . 9 1350 . 1. 36. 12 10.93 15.55 352 n.37 5 0 85 130 181. 35 961. . 7 1508.1. 37 . 38 11.1.6 16. 02 880 0.31. 551.0

11.0 195. 73 1083.2 1670. 1. 38. 58 11 . 87 16. 37 908 0.33 5988

150 210.02 1205.1 1335.2 39.72 12.13 16. 57 937 0.31 61.30

160 231.. 23 1338 . 7 20 01 . 1. 1*0 . 79 13.35 16. 65 966 0.19 6869

170 238. 38 11*52 . 7 2167.

9

1*1. 80 13. 2S 16. 61* 995 0.18 73 05 180 252. 1.9 15 76 . 1. 23 3 3.9 1*2. 75 12.22 16. 55 10 21* 0.17 7737 190 266. 55 16 99 . 1 21.93. 8 1.3 .61. 1? . 12 16. 1*2 1052 0.16 8167

200 230. 57 18 20 . 5 2662.

2

l.!*. 1*8 11 .98 16.26 1080 0.15 8595

220 308. 51. 20 53 . 1. 2931.. 0 1*6. 01 11 . 66 15. 91 11 35 0.11. 91.1.7 2t»0 336.1*2 2289 .6 3398.9 1*7. 3H 11 . 35 15. 58 1189 0.13 10291. 260 361.. 23 3515 .0 3607.7 1*8.63 11.10 15. 31 1339 C.12 11136

280 391.99 2735 . e 3911. 6 1.9. 71. 10 . 89 15. 09 1?88 0.11 11976

300 1.19. 70 3 9 52 .5 1*311 .6 50.78 10 . 71. 11*. 93 1331. 0.10 12813

• TWO PHASE BOUNDARY

64
TABLE rHES^MrnYNflf-IC PROPERTI'^S OF PARAHYDROGEN

35 BAR ISOBAR

TEMPERfl- MOLAR INTER^lAL ENTHALPY ENTROPY

TUKE VOLUME ENERGY

K Cm3/c, J/G J/G J/G-K

It*. 927 12. bS -10 7.3 -262.9 5.05

15 1 2 . 6 •" 3 T 6 • -2 62 . '. 5.08

16 12.80 -300.6 -255.8 5.51

17 12. 92 -293 .9 -21.8. 7 5.91^ 18 13.05 -2 86 .9 -2'.1.2 6 . 36

19 13.20 -279.5 -233.3 6. 79

20 13. -2 71 . 7 -225.0 7.22

21 13.51 -2 63 .6 -216 .

3

7.61^ 22 13. 6H -2 55 .

C

-207.2 8.07

23 13. 86 -2'»6 . 1 -197.6 8.1.9

2'* li*. 06 -236.8 -187.6 8.92

C V 1 • 2 3 ?7 1 C c. 1 .X — 1 7 7 1 " • 0 " 26 li*. 51 -216.9 -166. 1 9.73

27 li». 76 -206.2 -151..6 to .21

28 15. Qi* -195 .1 -11.2 . 1. 10.65

29 1"^. 35 -183.1* -129.

7

11.10

30 15. 69 -171.2 -1 Id . 3 11.56

31 16. 07 -158 .i* -102.2 12. 02

32 16. t.9 -l'*5 . 0 -87.3 12. 1.9 33 16. 97 -1 30 .8 -71.1. 12. 98

3l» 17. 52 -115.8 -51.. 1. 13.1.9

0 7 i.1ft0 • 1

1 ^o L** • U 1 36 18.91 -83.0 -16 . 8 11^. 56

37 19.79 -65 . 0 '.3 15 . li* 38 20. ai* -'6.0 27.0 15. 71. 39 22.09 -25.9 51. <. 16. 38

1*0 23.56 -5 .

1

77.1. 17.0".

1*2 27.17 37 .3 132.'. 18. 38

1*1* 31. ifl 77 .2 187.1 19 .65

ttb 35. 78 1 11 . 6 236.8 20 . 76

i*i '•0.00 lUl . 6 281.6 21. 71

c;n 5U 1 b o • 1 J c c • 1 55 53. 22 22'..'. 1.10 . 7 21.. 23

60 61.60 273.3 1.88.9 25.59

65 69. i»8 318 .

i4 561.6 26. 7 5 70 76.95 361 .8 631.1 27.78

75 84. 16 "U < . 6 699.2 28. 72

81) 91. 16 ''.7 . 8 766 . 8 29.60

85 98. 01 '91 . 8 831. . 8 30. '.2 90 101.. 7 3 537 .1 903.6 31.21

95 111. 35 5 83 .9 973.6 31 .96

100 117. 89 6 32 .

l. 1 0 1.5 . 0 32 . 7 0 110 130. 7it 7 35 .3 1192.9 31.. 10 120 l'»3. '0 3 '' . e 131.6.5 35.1.1. 130 155. 92 959 .6 1505. 3 36. 71

1<»0 168. 32 10 78.9 1668 . 0 37.92

150 180.63 1201.2 1833. 1. 39.0 6

160 192. 87 1 325 . C 2000.1 1.0 .13

170 205.05 11. '.9.

3

2167.0 1.1. 15 130 217. H 1573 .

3

2333.1. 1.2. 10 190 229. 27 1696 .2 21.98. 7 1.2. 99

5 /. 1 7 7 C.H 1 • J }1 ft 1 7 ft 9 £^ 7 C O O c •

ii. 7 ft 7 220 265. 36 2056 . D 2981.. 7 1^5. 37

2'»0 289. 30 2237 . 5 3300.1 1.6. 7'. 260 313. IS 2513.1 3609.

3

1.7.98 280 337. U3 27 33.9 3913.1. 1.9. 10 300 360. 79 2951 . 0 '213.8 50.11.

TWO PHASE 93UNDARY

SPECIFIC HEAT VELOCITY m

\<3Tiv

m\dPh

CP OF SOUND 1 J/G- K n/s BAR/K bar-cmS,

1. . 83 6.38 13 57 9.50 13930

1. . 81. 6 . * 1 13 58 9.50 1 3952

5.01. 6. 85 131^2 9.58 13239

5.21 7.29 132'^ 9.57 1251.0 5.37 7.71 1301^ 9.51 11851

5.51 3.10 I28i^ 9.37 11225

5. 6'+ 3.51 1263 9.23 10578

5 . 75 8.92 12U3 9.07 9959

5. 86 9. 35 1222 8.91 9358

5 .95 9. 79 1201 8.73 8760 6.03 10 . 25 1178 8.53 8162

P»D . XITJ1 n 7 u 1 1 ^L. A 7 1 7c:

f P CPD c 6. 16 11.27 1130 8.07 697'. 6. 21 11. 82 1101^ 7.91 61.00

6 . 26 12. (.2 1076 7.53 5828

6. 30 13.06 101^7 7.23 5286

6.33 13. 73 1017 6.92 1.771.

6. 36 11.. 51 985 6.59 1.258

6.1.0 15. 39 951 6. 21. 3763

6.1.3 16. 38 916 5.87 3295

6.1.6 17.53 879 5.1.9 281.7 AD

c: n • 9 U

1 Q ft 1 o m e;7 • 1inu 6. 51. 20. 25 802 '..70 20 77 6.58 21. 81. 763 '..30 1756

6.61 23.57 7 26 3.90 11.81 6.68 25. 32 690 3.51 1257 6.73 26.65 660 3.1'. 1099

6.32 27. 90 615 2.51 926

6.81. 26. 1.3 595 2.0'. 917

6.83 23. 72 591 1.70 1007 6.79 21. ai. 596 l.kb 1135

It .oh c n c b u V 1 • 2 9

1 ^ 7 a 6 . 7') 16. '.3 630 1.01 1631. 6.31 11.. 93 657 0.81. 1971 6.95 11.. 11. 683 0.72 2289

7.15 13. 72 705 0.6'. 2589

7.1.2 13. 51. 721. 0.58 28 71.

7 .7k 13. 51. 71.2 0.52 311.8 8.11 13.66 758 0.1.8 31.11. 8 .51 13.87 77'. 0.1.5 3672

8.93 11.. 13 788 0.1.2 3925 9.35 1^ • 3 8 0 2 0.39 1. 1 72 10.20 15. 07 829 0.35 1.652 10.91 15. 61. 857 0.31 5121

11 .1^7 16. 10 885 0.29 5581

11.33 16.1.3 913 0.26 6033

12 . 11^ 16.62 9'.2 0.2'. 61.80

12 .26 16. 70 971 0.23 6922

12.23 16. 63 1000 0.21 7360 12.23 16. 59 1028 0.20 7795

12.12 16. 1.6 1057 0.19 8228

1 1 . 93 16. 29 1085 0.18 8658

11.66 i5.qi^ 111.0 0.16 9513

11 .36 15.60 1193 0.15 10362

11.10 15.32 121.1. 0.11. 11208

10 .90 15. 10 1292 0.13 1201.9 10.71. ii^.gi^ 1339 0.12 12888

65
TABLE VI. THERMODYNfll^lC PROPERTIES OF P fl=>flH Y D roG E N

"O 34R ISOBAR

TEMPERA- MOLAR INTERr:AL ENTHALPY ENTROPY

TURE VOLUME ENERGY

< Cm3/& j/C- J/G J/G-K

SPECIFIC HEAT

CV CP J/G-K

ldP\ ldP\ VELOCITY \Tfl. [TTBL

OF SOUND

M/S Bfl9/K BAR-CM3/G

15.080 12. bi* -3 06.9 -2 56 . < 5.06 1* . 85 6. 1*0 1361* 9.52 11*1 11* 16 12. /i* -301.3 -250.3 5 . 1*5 5.03 6.78 1358 9.61 1 3669

17 12. 86 -29/* . 8 -2'»3. 3 5.87 5 . 20 7.21 131*0 9.6 2 12952

18 12.98 -2 67 . e -235.9 6.30 5 . 36 7. 63 1322 9.57 12282

19 13. 12 -280.6 -223.1 6.72 5 .5J 8.01 1301* 9.1*7 11685

20 13. 26 -272.9 -219.9 7.ik 5 .63 8 . 1*1 1283 9.33 1102?

21 13. i»2 - 2 . 9 -211 . 3 7 .56 5 . 75 8.81 1263 9.18 1 0391* 22 13.58 -256.6 -202.3 7.98 5 . 85 9.21 121*1* 9.02 9318

23 13. 76 -2'»7.o -192.8 8 . '•0 9.63 1223 fl.35 9228

2<» 13. 9k -238.8 -183.0 8.82 6.02 10. 07 1202 8.66 8639

25 It*. 15 -229.7 -172.7 9.2lt 6 . 09 10. 53 1179 8.1*5 8052

26 1'».37 -219. i. -161.9 9.66 6. 15 11. CI 1156 8.22 71*68 27 lit. 60 -2 09.1 -150.7 10.09 6. 21 11.53 1130 7.98 6878

28 Ik. 86 -198.

3

-138.9 10.51 6. 26 12. 06 1105 7.71 6335

29 15. !<• -1 87 .

1

-126.5 10.95 6.30 12. 62 1078 7.1*3 58 05

30 15. k3 -175.'. -113.6 11. 39 6.33 13.22 1051 7.13 5291

31 15. 79 -163.2 -100.1 11. 83 6 .37 13.89 10 22 6.33 1*785 32 16. 16 -150 .5 -85 . 8 12.28 6.1*0 11*. 60 992 6.50 1*312 33 16. 58 -137.1 -70.8 12. 71* 6.1*3 15.1*3 959 6.17 3831*

31* 17. 05 -123.2 -55.0 13.22 6.1*6 16. 27 927 5.82 31*10 35 17.57 -108.5 -38.2 13.70 6.1*9 17. 26 893 5.1*7 2998

36 18.18 -93.2 -23.5 11*. 20 6 . 52 18.32 859 5.10 2623

37 18. 86 -77 . r -1.6 l<t.72 6.55 19.1*5 8 21* 1*. 71* ?287

38 19. 65 -60.1 18.5 15 .25 6.58 20. 61* 791 i*.37 1993

39 20.56 -1*2.5 39.7 15.81 6.61 21. 81* 759 it.Ol 171*2 kO 21. 61 -21*.

3

62.1 16. 37 6 . 61* 23.02 7 29 3.67 1532

<*2 21*. 13 13.1* 110.0 17.51* 6.71 21*. 62 680 3.01* 1259

1*1* 27. 19 51 .0 159. 8 18.70 6. 77 21*. 96 61*7 2.52 11 35

<*6 30.61 85.8 208.3 19. 73 6.31 23.88 630 2.12 1131

i*a 3<*. 13 117.7 251*.

3

20 .76 6.81 22. 07 625 1.81 1205

5U 37.60 11*6.3 296. 7 21.62 6.79 20 . 33 627 1.59 1311* 55 1*5. 76 206.9 389.9 23.1*0 6. 79 17.25 61*5 1.22 1637

60 ' 53.26 258 .7 1*71.7 21*. 8 3 6.81* 15. 51* 668 1.00 1967

65 60. 27 3 0 5 .7 51*6. 8 26 . 0 3 6.97 11*. 59 691 0.86 2283

70 67.00 3 50 .6 613.6 27. 09 7.17 11*. 07 713 0.75 2590

75 73. 1*2 391*.

6

688.3 28. 0 5 7. i*i* 13.81* 732 0.68 2880

80 79. 65 1*38.7 757.3 28.91* 7.76 13.78 71*9 0.61 3160

85 85.73 1*83 .5 326.1* 29.78 8.15 13. 87 765 0.56 31*30 90 91. 69 529 .1* 896. 1 30.58 8.52 11*. 05 780 0.52 3693

95 97. 55 5 76.7 966 .9 31.35 8 .91* 11*. 29 7 91* 0.1*6 391*0 100 103.31* 625.7 1039.0 32.0 9 9.36 11*. 56 808 0.1*5 1*200 110 111*. 68 729.5 118 8.3 33.51 10 . 21 15.13 831* 0 .1*0 1*686 120 125. 85 8 39 . 1. 131*2.

8

31*. 85 10 .92 15 . 73 862 0.36 5160 130 136. 87 9 51* .9 1502.1* 36. 13 11 .1*8 16. 17 390 0.33 5625

1<»0 11*7.79 1 0 71* . 7 1665.8 37.31* 11 . 89 16.1*9 918 0.30 60 81 150 158. 61 11 =7 .

3

1831.

7

38. 1*8 12.15 16. 68 qi*7 0.28 6531

160 169. 37 1321 .1* 1993.9 39. 56 12.27 16. 71* 976 0.26 6976

170 180. 06 11*1*6. 0 2166.

3

1*0 .58 12.29 16. 72 1001* 0.21. 71.17 180 190. 71 1570 . 2 23 3 3. 1 1*1. 53 12.21* 16. 63 1033 0.23 7855

190 201.33 1693 .1* 21*98. 7 1*2.1*2 12 . 13 lb. 1*9 1062 0.22 8289

200 211.90 1815.1 2662.

7

1*3.27 11 .99 16.32 1090 0.21 8721 220 232. 98 2053 . e 2985.5 i»i*. 81 11.67 15. 96 111*5 0.19 9580

21*0 253. 97 2285.1* 3301 . 3 1*6. 18 11.36 15.62 1193 0.17 101*32 260 271*. 89 2511.3 3610.8 1*7.1*2 11.13 15. 31* 121.3 0.16 11280

2 80 295. 77 27 32 .3 3915. 3 1*8.55 10 . 90 15. 12 1297 0.11* 12123

330 316. 60 291*9.5 1*215.9 1*9.5 8 10 . 75 11*. 95 131*3 0.13 129 61*

TWO PHASE BOUNDARY

66
tARLE i/I. THtPMrnYNAfllC PROPERTItS OF PA9AHYDR0GEN

it5 I SODAR

TEMPERA- MDL AR INTERNAL ENTHALPY ENTPOPY SPECIFIC HEAT VELOCITY \dplr

TURE i/OLJME ENFRC Y CP OF SOUNC 1 < Cm3/& J/G J/G J/G-K J/G- K M/S B AR/K BAR-CM3/

li .232 12.60 -306.6 -21.9. 3 5.07 1..87 6.1.0 13 77 9.56 11.1.33 16 12.68 -301.9 -2 1.1. . 9 5.59 5.02 6. 72 13 71 9.6 3 1 1.0 35

17 12. 79 -295 .5 -237.9 5.31 5 . 20 7.11. 1355 9.66 1 33 68

16 12.92 -218.7 -230.6 6.2 3 5.36 7.55 1338 9.61. 12699

19 13. 05 -2«1 .6 -222.8 6.65 5 .50 7.91. 1321 9.56 120 81. 20 13.19 -2 71. . 1 -211.. 7 7. C 7 5.62 3. 31 1303 9.1.3 111.96

21 13. 33 -266 .2 -206.2 7 . 1.8 5 . 71. 3.70 1283 9.29 10861. 22 13. <»9 -258 . C -197.3 7.90 5.81. 9.10 1261. 9.13 10257

23 13. 66 - 2 1* 9 . 5 -183.0 8.31 5.93 9.50 121.1. 8.96 9671

2'» 13. 31* -2 i<J .6 -17 3.3 8 .72 6.02 9. 91 1221. 8.78 9091

25 11*. 03 -2 31 .3 -163.2 9.11. 6 .39 10. 31. 1202 8.58 8511. 26 23 -221 .

7

-157.6 9.55 6.15 10.79 1180 8.36 79 37 27 Ik. 1.5 -211 .

?

-11.6. 6 01. 97 6.21 11.27 1157 8.13 7373

2S 11.. 69 -201.2 -135.1 10.39 6. 26 11. 76 1132 7.88 6827

29 11.. 95 -190 .1. -123. 1 10 .81 6.33 12. 27 1107 7.61 63 0 2 30 15.21. -179.1 -110.6 11.23 6.31. 13.81 1082 7.33 5792

31 15. 51. -167.1. -97. 5 11.66 6.37 13.38 1051. 7.01. 52^5

32 15.88 -155.2 -83 . 9 12.10 6.1.0 li». OQ 1027 6.71. 1.825 33 lb. 25 -1 1.2 .6 -69.1. 12. 51. 6 .1.3 11.. 66 998 6.1.3 1.372

3<» 16. 66 -129.1. -51.. 1. 12.99 6.1.6 15. 1.0 968 6.10 3932

35 17. 11 -115.7 -33.6 13.1.1. 6 .1.3 16. ?1 937 5.77 3515

36 17.62 -101.3 -22.1 13.91 6.51 17.00 907 5.1.1. 3150

37 18. 19 -«6 . 5 -1.. 6 11.. 39 6.53 17. 89 8 76 5.10 2803

38 18.83 -71.0 13.7 11.. 88 6.56 18.81 81.5 1..76 21.91 39 19.51. -55 .0 33. 0 15. 38 6.53 19. 73 816 1..1.3 2218

1*0 20. 35 -38 . 1. 5J.1 15.89 6.63 20 . 61. 788 I4.IO 1981.

1*2 22.26 -l4.2 96. 0 16. 93 6 .65 22 . 11. 738 3.1.9 1636

kk 21.. 57 30 . 7 11.1 . 2 17.93 6 .70 22. 95 701 2.96 11.33

i*f> 27.22 61..? 186.7 18.99 6.77 22. 91 675 2.52 131.5

i*a 30.03 96. 1. 231.3 19.95 6.30 22; 06 661 2.17 131.5 50 33. 02 126.

C

271.. 6 20. 8 3 6 . 31 20.75 656 1.90 11.11 55 1.0 . 2 0 139.9 3 7 0 .3 22.66 6.82 17. 90 663 1 . 1.5 16 77

60 1.6.93 21.1. . 3 1.55.5 21.. 11. 6.37 16. 06 682 1.18 1989

65 53.26 293.3 532. 9 25. 38 6. 99 15. CI 702 1.00 2299

70 59.29 339 .5 606.3 26.1.7 7.19 1'-.. 1.2 722 0.87 2600

75 65. 09 381. . 7 677 .6 27.1.5 7.1.6 11.. 12 71.0 0.78 2893

80 70. 76 1.29.7 71.8. 1 28. 36 7.78 11.. 02 757 0.70 31 79

85 76.23 1. 75 .2 813.3 29.21 8 . 11. 11.. 06 772 0.61. 31.53 90 81.59 521 .8 883 .9 30.02 8 .51. 11.. 21 737 0.59 3719

95 86. 66 569. 7 960.5 30. 79 8.95 l".. 1.3 801 0.55 3979

100 92. 06 619.1 1033.

3

31.51. 9.37 11.. 69 815 0.52 1.2 'I. 110 10?. 22 7 2 3 .8 1133.3 32.97 10.23 15. 28 81.0 0.1.6 1.721. 120 112.22 831. .3 1339.3 3«..3 3 10.93 15. 81 867 0.1.1 5203

130 122. Oft 9 50 . 3 11.99. 6 35. 61 11.1.9 16.25 895 0.37 5671

1<*0 131.83 10 7 0.5 1663.

7

36. 82 11 .93 16. 55 923 0.31. 6131

150 11.1. 50 1193.1. 13 3 0.2 37.97 12.15 16. 73 952 0.32 6585

160 151. 10 1317.9 1997.

8

39. 0 6 12.23 16.79 981 0.29 7032

170 160.61. 11+1.2 .H 2165.6 1.0.07 12.30 16. 76 1009 0.28 71.76 180 170.11. 1557.2 2332.

3

1.1.03 12. 21. 16. 66 1038 0.26 7916

190 179.60 1690 .5 21.93. 7 1.1.92 12.13 16.5 2 10 66 0.21. 8352

200 189. 02 1812.5 2663. 1 1.2. 77 11 .99 16.35 1091. 0.23 3786

220 207. 80 2 J ?1 . 3 2986.1. 1.1. . 31 11 .67 15. 98 111.9 0.21 961.8

2<»0 226. 1.9 22=13 .1. 3302.6 1.5.68 11 .37 15.61. 1202 0.19 10503

260 21.5. 12 2509.1. 3612. 5 1.6.93 11.11 15. 36 1253 0.18 1135?

280 263. 70 2730.6 3917. 3 1.8. 05 10.90 15. 13 1301 0.16 12198

3CJ 282. ^1. 291.3 .C 1.213. 1 1.9. 09 10 . 75 11.. 96 131.7 0.15 1301.0

TWO PHASE 30UNOARY

67
TABLE ^I. I HERMCCVrjAMIC PPOPEPTIES OF PflOAHY CROGEN

50 94R ISOBAR

TEMPERA- MOLA,< INTERNAL ENTHALPY ENTPOPY

TURE \/OLUME ENERGY

< Cm3/& j/g J/G J/G-K

SPEOIEIC HEAT

C\l CP J/G-K

\/ELOCITY OF SOUND

M/S BAR/K BAR-Cm3/G

15 .38? 12. 56 -306.2 -21.3.5 5.08 1* .88 6. 1.0 1390 9.59 11.71.8 16 12. 62 -3G2.5 -239.1. 5. 31. 5.01 6.66 1381. 9.66 11.1.21 17 12.73 -296 . 2 -232.6 5.75 5. 19 7. 07 1370 9.70 13772

1» 12. 85 -289 . ^ -225. 3 6.17 5 .35 7. 4.8 1351. 9.69 13109

19 1?. 98 -2S2 .

5

-217.6 6.59 5.1.9 7. 87 1337 9.62 121.81 20 13.11 -275.1 -209.5 7.0 0 5 .62 8.23 1322 9.51 11938

21 13.25 -267 .1. -201. 1 7.1.1 5.73 8.61 1302 9.38 11293

22 13. '0 -259 .1. -192 .3 7.82 5 . 81+ 8. 99 12 81. 9.23 10701. 23 13.56 -2 51 .C -133.2 8.23 5 .93 9.37 1261. 9.07 10117

a** 13.73 -21.2.3 -173.6 8.63 6.01 9. 76 121.5 8.89 951.3 25 13. 92 -2 33 .2 -153.6 9.01. 6.08 10.17 1225 8.70 8977

26 li*. 11 -223.8 -153.2 9.1*5 6.15 10.59 1201. 8.50 81.10 27 11*. 32 -2 11. . C -11.2. 1. 9. 86 6.21 11. 03 1181 8.27 7853

28 11*. 5h -20 3.9 -131.2 10.26 6 . 26 11. 1.9 1158 8.01. 7308

29 Ik. 78 -193.1. -119.1. 10.68 6 . 31 11.97 1131. 7.78 6783

3Q 15. Ok - 11^2 . 5 -107.2 11.09 6. 31. 12. 1.7 1109 7.52 6263

31 15.33 -171.1 -91..

5

11.51 6.38 12.98 10 81. 7.21. 5777

32 15.63 -159 .1. -81.3 11. 93 6.1.1 13.51 1059 6.95 5320

33 15.97 -11.7 . 3 -67.5 12.35 6.<.i* 11.. 09 1033 6.66 1.871.

3<« 16. 33 -131..

7

-53. 1 12.78 6 .1.6 11.. 72 1005 6.36 1.1.35 35 16. 73 -121 . 7 -38. 3 13. 22 6.1.9 15.36 977 6.01. 1.0 31. 36 17.17 -108.2 -22.3 13.66 6.51 15. 08 91.9 5.73 361.6 37 17.66 -91. .2 -5.9 11.. 11 6.53 16. 77 921 5.1.1 33 03

38 18.20 -79 . 8 11.2 11.. 57 6.55 17.51 893 5.09 2931

39 18.79 - 61. .9 29.1 15.0 3 6.57 18.26 865 1..78 2691

<*0 19. 1.5 -1.9 .5 1.7. 7 15.50 6.58 18. 96 839 U.1.7 21.1.3

1*2 20. 99 -17.9 87.1 16.1.6 6.62 20.28 791 3.88 201.1 kh 22. 81 11. .6 128.7 17. 1.3 6 .66 21.22 751 3.36 1771

1.6 21.. 92 1.6.5 171.1 18.37 6.73 21. 61. 720 2.90 1615

ua 27. 25 77 .9 21!..

2

19.29 6.78 21.39 701 2.53 1555

50 29.71 107.7 256.3 20 .15 6.80 20. 66 689 2.22 1565

55 35. 93 1 ?3 .7 353.6 22. 0 1 6 . 81. 18. 30 685 1.68 1756

63 1.2. 03 2 30 . 1. 1. 1.0 . 5 23.52 6 . 89 16.50 698 1.36 20 35 65 1.7. 77 281.1 519.9 21.. 79 7.01 15. 37 715 1.15 2333

70 53. 25 323 .7 595. 0 25.90 7 . 21 11*. 72 733 1.00 2631

75 58. 51. 3 71.. 9 667.6 26.91 7.1.7 11.. 38 71.9 0.89 2919

80 63. 65 1.20 .8 739.1 27. 83 7 . 79 11.. 25 765 0.80 3201. 85 68.68 1.67 .

1

810.5 28 . 70 8 . 16 11.. 26 780 0.73 31.83 90 73. 56 511. .7 8 3 2.1 29.51 8 .55 11.. 38 791. 0.67 3752

95 78. 35 5 62 . 7 951. . 1. 30 . 30 8 .96 lit. 57 808 0.62 1.015 100 83.06 612.6 1027.9 31. 0 5 9.33 11.. 82 821 0.58 1.272 110 92.28 718 .2 1179.6 32.1.9 10.21. 15. 38 81.6 0.51 1.766 120 101. 31. 329 .3 1336 . 0 33. 85 10 . 95 15.90 873 0.1.6 521.9 130 110. 26 91.5 . 7 11.97. 1 35.11. 11.51 16. 31 901 0.1.2 5721

11.0 119.08 10 66 . 3 1661.7 36. 36 11 .91 16.61 9 29 C.38 6181. 150 127.82 11«9.7 1323.8 37 .52 12.16 16. 78 957 0.35 661.0

160 13b. 1.9 1 31 1. .

1* 1996.9 38 . 60 12.28 16. 83 986 0.33 7091

170 11.5. 11 11.39.5 2165. 1 39.62 12.31 16. 80 1011. 0.31 7536

leo 153. 69 1 5 61. . 2 233? . 6 1.0 . 58 12.25 16. 70 101.3 0.29 7978

190 162.22 1687 .8 21.98 . 9 1.1 .1.8 12.11. 16.55 1071 0.27 81.17 200 170.73 18 3 9." 2663.5 1.2. 32 12.30 16. 38 1099 0.26 8852

220 187. 66 201.9.0 2987.3 1.3. 86 11.68 16. 01 1151. 0.23 9717

2ka 201.. 51 2281 .3 3303.9 1.5. 21. 11.37 15.66 1207 0.21 10571.

2 60 221. 30 2507.6 3611. . 1 1.6.1.8 11.11 15.37 1257 0.20 111.26 280 238.05 2729.0 3919.

2

1.7.61 10.91 15.15 1305 0.18 12273

300 251.. 75 29'.6.5 1.220 . 3 1.8 .65 10 . 75 11.. 97 1351 0.17 13116

• TW3 PHAS: gOUNOARY

68
TABLE THERMODYNflMIC PROPERTIES OF P flRfl H Y 0 N

60 BAR I SOBAR Id P\ ldP\ TEMPERA- MOLAR INTERNAL ENTHALPY ENTPOPY SPE':iFIC H"a T i/ELOCIT y \d~Ph

TURE VOLUME ENERGY C (/ CP OF SOUND \ 0 1 /y

K Cm3/& J/C- J/G J/G-< J/G- K M/S

15.678 12. i»e -305.5 -230.6 5.10 1. . 9? 6.1+1 1414 9.66 15354

16 12.52 — 3 0 3 .6 -223.5 5.21. 1+ . 9 3 6.51+ 1411 9 7 0 15186

17 12. 62 -297.5 -221.8 5 .61. 5.17 6. 95 13 97 9.77 1 4523

16 12. 73 -291 .

C

-21'..

6

6.0 5 5 .31. 7. 35 1333 9.79 15993

19 12. 85 -Z6h.'c -207.1 6.1.6 5 .1.3 7.73 1363 9.75 1 1277

20 12. 97 -2 77 .

C

-199.2 6.37 5.61 9.09 1352 9.66 1 2679

21 13.11 -269 .5 -190.9 7.27 5.72 3.1+3 1339 9.55 12173

22 13. 24 -2 61 .

8

-182.3 7 .b7 5.33 3. 79 1320 q.42 11549

23 13.39 -2 53 . 7 -17 3.3 9 . : 7 5 .92 9. 15 1302 9.27 1 0976

a** 13. 55 -21.5. 3 -161.. a H . 1.7 6.01 9.52 1284 9.11 1 04 05 25 13.71 -236 . e -151.. 3 8.96 6.03 9. 89 1265 9.93 9848

CO 1 o • o ^ ~ 1 ^ ^ • 2 D . L 7 1 J . c / 1 9 /. c Q 7 r, 9 27 1**. 03 -218.2 -133.8 9.65 6 . 21 10. 66 1226 8.54 3759

28 l**. 27 -208.5 -122.9 10.0 5 6.27 11. 07 1205 8.32 9221' 29 11*. 1.9 -193 .5 -111.6 10 .1.1. 6.31 11. 1.3 11 93 9.09 77 0 3 33 lit. 72 -1 33.2 -99. 9 10.31. 6 . 35 11.90 1161 7. 94 7202

31 lif.96 -1 77 . 6 -37.9 11 . 21. 6 . 59 12. 33 11 39 7.59 6723

32 15. 22 -166.6 -75.2 11.63 6 .1.3 12. 78 1116 7.32 6260

33 15.50 -155.? -62. 2 1? . 0 3 6.1.5 13.26 1092 7.05 5803

3(f 15. 81 -1 1.3 .6 - 1. 3 . 3 12. 1.1. 6.1.3 13. 73 1068 6.79 5396

35 16. 13 -1 31 . e -31. . 3 12.91. 6.50 11+. 22 1045 6.50 49 91 36 16.1+9 -119.2 - 2 ] . 3 13.25 6 . 52 1 1+ • 7 1+ 10 20 6.22 4 610

37 16. 87 -106.5 -5.3 13.66 6 . 51. 15. 28 996 5.94 4245

38 17. 2d -93 . !< 10.3 11.. 08 6.56 15. 31 972 5.65 3915

39 17.73 -80 .0 26. 3 11.. 1.9 6 ,57 16. 36 947 5.36 36 04 18.2? -66.1. 1.2. 9 11.. 91 6.53 16. 36 9 24 5.08 33 33

19. 31 -33 .? 77. 7 15. 76 6.63 17.96 830 4.54 2962

i*t* 20. 59 -9 . 2 1 11.. 3 16.61 6.63 13.71 841 4.0 3 25 05

t>6 22. Bit 19.6 151.9 17 . !t5 6.71 19. 3 3 806 3.57 2252

<»S 23.66 1.8 .q 190 . 9 18.28 6. 75 iq.65 7 79 3.16 20 86

50 25. 1.2 77 .7 23U . 2 19. 0 8 6.79 19. 60 760 2.82 20 03

3 0.18 1 'fi. . 7 3 2 T • 9

H 7 I • HO 7/Or77 20 19

60 35. 06 20I..1. 1.11.. 7 22.1.5 6.95 17. 01 737 1.74 2211

65 39.81 257.9 1.96 . 3 23. 77 7.05 15. 92 745 1.46 2461

70 1.1.. 1.2 307 .9 57;.. 5 21.. 92 7 .21+ 15. 21 758 1.26 27 37 75 1.8. 83 356. 1 &1.9.1. 25. 95 7.50 11+. 91 771 1.11 30 15

80 53.21 1. D 3 . t 722.9 26. 9C 7 .32 14. 63 735 0.99 3292

85 57. 1. 1. 1.51 .2 795. 9 27.79 9.13 14.60 798 0.90 3565

90 61.57 1.99. e 869.0 28.62 8.57 14. 69 810 0.83 3835

95 65. 63 51.9.0 91.2. 3 29.1.2 8.99 14. 85 823 C. 77 40 99 100 69. 66 599.8 10 17.8 30. 19 9.1+0 15.05 836 0.71 4362

110 7 7 • 1.

3

7 Q 7 . 2 1171.8 31.66 in 9 7 1 • !J 0

ft u • 0 0 ^862

120 95. C7 319.1. 1324.9 33 . 0 3 10.97 16. 05 8 85 0.56 5351

13Q 92. 53 936 .9 11.92 . 1. 31.. 33 11.53 16. 45 912 0.51 5929

1<»0 100.00 1058.2 1653.2 35.56 11.93 16. 72 939 0.46 6297

150 107. 31. 1182.2 192b. 3 36.72 12.13 16. 89 969 0.43 6759

160 111.. 62 1307.6 1995.

3

37.91 12.30 16. 92 996 0.40 7212

170 121. 81. 11.33 .2 2161.. 3 38. 81. 12 . 32 16. 87 1024 0.37 7662

180 129. 03 1553.3 2332.5 39 . 9 Q 12 . 25 16. 76 1053 0.35 9107

190 136. 18 1692 .3 21.99. 1. 1.0 . 70 12 . 15 16. 61 1091 0.33 3549 200 11.3. 30 1801.. 7 2661.. 5 1.1 . 55 12. 01 16. 43 1109 0.31 9988 220 157.1.7 2 0iti..5 2989 . 3 1.3 . 09 11 .69 16. 05 1163 0.28 9957

aifO 171. 56 2277.

3

3306.7 1.1. . 1.7 11 .33 15. 70 1216 0.26 10719

260 185. 59 253 1..

G

3617. 6 45. 72 11 . 12 15.40 1266 0.24 11574

280 199. 57 2725.

e

3923.2 1.6. 85 10 .91 15.17 1314 0.22 12424

300 213.52 291.3 . 7 1*221.. 3 1.7. 39 10 . 76 15.00 1360 0.20 1 '271

• TWO PHAS; BOUNDARY

69
TflPLE VI. THEPiCDVNAMC PROPERTIES OF Pfl'AHY DROGEN

7C SHR ISOBflP EMPf Rfi- MOLAR INTERf AL tNTHALPY ENTROPY

TURE VOLUME ENFRCV

K cm3/o J/G J/G J/G-K

1 12. i«l -30'4.7 -217.8 5.13

16 12. 1*2 -SOk.S -217.6 5.1'* 17 12.51 -2 98.6 -21 J .

9

5 .5'* 18 12. 62 -292 . -2G 3 . 9 5 . 9't 19 12.73 -285.6 -196.

5

6 . 3i« 20 12. 84 -27 H.

7

-188.7 6 .7t*

21 12. 97 -2 71 .'. -180.6 7 .11* 22 13. lU -2 63.8 -172.1 7.53

23 13.23 -256 . C -163 . t* 7.92

13. 38 -2'*7 .9 -IS"* . 2 8.31

25 13.53 -239.5 -l**!*. 7 8. 70 2b 13. 69 -2 :-o . 8 -13'».9 9.08

27 13. 86 -221 .

P

-12<». 7 9. '7

28 lit. Oi* -212 .5 -il'*.Z 9. 85

29 li*. 23 -202.9 -103.

3

10.23

3D l"*. l*h -193.1 -92.0 10.62

31 11*. bS -1 82 .9 -ao.'* 11.30

32 i-l*. 88 -1 72 . 5 -68.3 11 . 38 33 15.13 -1 cl . f -55.9 11. 76

31* 15. 39 -1 ^0 .e -'3 . 0 12. 15

35 15. 67 -139.5 -29. 3 12.53

36 15. 96 -127.9 -16. 1 12.92

37 lb. 28 -116 . C -2.1 13.30

38 16. 62 -103.9 12.5 13.69

39 16. 98 -91.5 27 . i* 1<». 08

<«0 17.37 -78,9 <*2.7 It* . '«6

'2 18.23 -53 .0 7^.7 15 . 2i» 19. 21 -26. 108.1 16. 02 20.30 0 . 2 l'«2. 3 16. 78

'8 21. 52 27.5 178.2 17.31*

50 22. 85 5'* . 8 21i». 7 18.29

55 ?6. 53 1 20 . 306.2 20.03

60 30. '.8 181.3 39<». 7 21 .57

65 3i». '5 236.7 '77.8 22.91

70 3S. 36 2 88 .C' 557.1 2<f . 0 3 75 '.2. 19 338 .3 63 3.6 25 . 1'*

80 1.5. 92 3 e7 .2 708.7 26. 11

85 '•9.57 '36.1 783.1 27. 01

90 53.16 (85.5 357.6 27.86

95 5b. 67 535.8 932. 6 28 .67

100 60. !' 597 .'. 13 0 8 .

i» 29. '5

110 66. 90 636. 116'». 7 30 .9'* 12Q 7 3.51 809.9 132'*. i» 32. 33 130 80.ua 928 . ? l'»88. 3 33 . 6'* l^O 86. i*! 1 050 .It 1655.

2

3(». 8 8 150 92. 7i» 1 1 75 .1 182'« . 2 36 . Ql»

160 99. 0? 1301.0 199i«. I 37. 11. 170 105. 25 l'+27. 1 2163.

8

38. 17 180 111. '»' 15 52 .6 2332.

7

39.13

190 117.60 16 76.Q 2500 . 1 1*0 . Oi* 200 123. 72 1799.8 2665.

8

'»0 . 89

2 20 135. 91 2 0 '.0 .1 2991.5 i»2. '•' 2'fO ii^e. 0

1

2273. <* 3309.6 1*3 . 82 260 160. 09 2 5 00 . e< 3621. 1 '5.0 7 280 172. IG 2 7 32 .6 3927.

3

'»6.21 300 lau. 08 29 1.0 .8 ".229. ' 1.7.25

TWO anUNOARY

SPECIFIC HEAT »/ELOCIT Y \dTiv

01/ CP OF SOUNO

J/6- K M/S BAR/K BAR-Cm3/(

i».95 6. If 2 1'.37 9.71. 15926

'. .96 6.i»3 1«.37 9.75 15912

5 .15 6. 8'« 1'.2'. 9.81. 15281. 5.3? 7.23 11.10 9.87 11.61.3 7.60 13 96 9.85 11.029

5 .60 7. 95 1382 9.79 131.51

5 . 72 8.30 1367 9.70 12876

5 .82 8.62 1351. 9.58 12397

5 . 92 8. 97 1337 9.1.5 11795

6.00 9.30 1320 9.30 1121.1 6.03 9.65 1303 9.13 1 0685

6. 15 10.00 1285 8.96 1011.1. 6 .21 10 . 36 1267 8.77 9619

6.27 10 . 73 121.7 8.57 9095

6 . 32 11 . 10 1228 8.35 8585 6.36 11. '7 1207 8.13 8081.

6.i»a 11.86 1137 7.89 7605

6 .'»<« 12. 2'» 1166 7.65 711.8

6 .'f 7 12. 63 111.1. 7.1.0 6709

6.5] 13. 03 1123 7.11. 6288

6 .52 13 . i»5 1101 6.89 5886

6.51. 13. 86 1080 6.63 5507

6.56 li*. 31 1053 6.37 5135

6.53 li*. 73 1037 6.10 1.800

6 .59 15. ll» 1015 5.81. 1.1.86 6.59 15. 55 995 5.58 1.195

6 .61 16. 35 951. 5.07 3681 6.63 17. 07 916 <..58 32 62

6 . 70 17. 71 881 1..13 2936

6 .7i« 13. 11 353 3.72 2706

6 .79 18 . 35 829 3.36 251.5 6.83 13.09 793 2.63 2391. 6.96 17. 12 781 2.13 21.81 7.08 16. 21 781 1.78 2667

7.27 15. 5W 788 1.53 29 02 7.53 15. 13 797 1.31. 3157

7 . HI* li». 93 807 1.20 31.21 8. 20 li*. 87 817 1.08 3687

8.60 li«. 91* 828 0.99 3950 9.01 15. 08 ai.0 0.92 1.212 9. '2 15. 27 851 0.85 1.1.70 10.30 15. 81 873 0.75 1.972 11.30 16. 20 897 0.66 51.65 11 .55 16. 57 921. 0.60 591.6 11.95 16. 83 951 0.55 61.18 12.20 16. 97 978 0.5 0 6883

12 . 32 17.00 1006 0.1.7 731.1 12. 33 16.91. 10 35 0.1.1. 7791. 12 .27 16.8 3 1063 0.1.1 821.2 12 . 16 16. 67 10 91 0.39 8686

12.02 15.1.8 1119 0.36 9127

11.70 16. 09 1173 0.33 100 01 11 . 39 15. 73 1225 0.30 10867

11.13 15.1.3 1275 0.28 11725

1 0 .92 15. 20 1323 0.25 12579

10.77 15. 02 1369 0.21. 131.27

70
TABLE Jl. THcRMrCYNaMIC PROPfRTItS OF P A Rfl H Y P RO&F

N

80 B4R ISOBAR Mp\ ldP\ TEMPERA- MOLAR INTFR^'flL ENTHALPY ENTPOPY SPFCTFIC HIAT ^FLOCITv I j:; I Id^jx

TURE VOLUME ENERGY C\l QF SOUND ^ ' < cm3/g J/G J/G J/G-K J/G-K H/S RA-VK bar-cS/

16.253 12. 3't -303 . 9 -205 .

1

5 . li* . 99 6.53 lUh3 1 C. 0 ^ 1 nifk

17 12. i»l -2 99 .5 -200.2 5.^1* 5.13 6.73 l'*50 °.90 16011

18 12.51 -293 . 3 -193.2 5 . 8'» 5 . 30 7. 11 11*37 9. 95 15U0?

19 12. 62 -2 86 . 9 -185.9 6.23 5 .1*6 7. i.8 lf.2'. 9.95 1147 82 20 12.73 -280 .1 -178.3 6.62 5.59 7. R3 li« 09 9.90 lt.1 77

21 1?. 6k -2 73 . 0 -170 . 3 7.01 5.71 ^.17 1396 9.83 1 ?62B

22 12. 97 -2 65 . 7 -162.0 7.40 5 . 32 8.1.9 1382 9.7 3 1 ^0 75 23 13.09 -258.1 -153.3 7.79 5 .91 8 . 79 1370 9.60 12613

2<f 13. 23 -2 50 . 2 -11. 1.. 3 8.17 6.00 9. 12 1 35<4 9.1.7 1201.9 25 13.37 -2 1.2 . Q -135. 1 8 .55 6.07 9. 1.5 1337 9.32 1 11.99 26 13.52 -2 33 .6 -125. 1. 8.92 6. 15 9.78 1320 9.15 1 0953

27 13.67 -221. .9 -115.5 9.30 6.21 10.11 1303 «. 98 101.36 28 13. 8i» -215.9 -105.2 9.67 6.27 10. 1.5 12 86 ".79 9929

29 11.. 01 -206.7 -9'. . 6 10.05 6.33 10.79 1268 8.59 9<.2i. 30 lit. 20 -197.2 -33.7 10 . 1.2 6. 37 11.13 121.9 8.38 i9 36

31 11.. 39 -1 e7 .5 -72.1. 10 . 79 6 .1.1 11 . 1.8 1230 8.17 81.51. 32 11.. 60 -1 77 .5 -63.7 11.16 6 . 1.5 11.83 1210 7.91. 7991. 33 11.. 81 -167 .2 -1.8 . 7 11.53 6 . 1.9 12.17 1191 7.70 7556

3<» 15. 01. -156.7 -36.1. 11.89 6.51 12.52 1171 7.1.6 71 35 35 15.29 -11.6.

C

-23.7 12. 26 6. 51. 12. 88 1151 7.2? 6735

36 15. 51. -135.0 -10.7 12.63 6.56 13. 21. 1131 6.96 631.5 37 15. 82 -123.8 2.3 13. 0 0 6.58 13.60 1112 6.73 5937

38 16. 11 -112.3 16.5 13.36 6.60 13. 95 1092 6.<.Q 561.5 39 16. 1.1 -100 .7 30 . 7 13. 73 6.61 11.. 30 1073 6.21. 5326

i»0 16. 71. -88 . e 1.5 .

1

11.. 10 6.62 IH. 61. 1051. 6.00 50 21.

'»2 17. 1.5 -61. .5 75. 1 11.. 33 6 .63 15 . 33 1017 5.52 1.1. 75

i»i« 18. 21. -39 . 6 106.1. 15.56 6 .65 15. 93 982 5 .05 1.0 27

i»6 19. 12 -11. . 7 138.3 16.27 6 . 71 16.52 91.7 1..61 361.7

(»8 20. 09 11 .

1

171.8 16. 98 6 . 76 16. 95 918 1..21 3360

50 21. 11. 36.9 206.0 17. 68 6 . 30 17. 29 893 3.81* 31 35 55 21.. 08 1 OQ . 5 293.2 19. 31. 6 . 90 17.1.7 81.9 3.07 281.7 60 27. 33 1 61 . ? 379. 8 20 . 85 6.99 16. 98 828 2.51 2819

65 30.68 217.5 1.63 . 0 22 . 1 8 7.11 16. 28 821 2.10 291.1 70 31.. 03 270 .6 51.2. 9 23. 36 7 . 31 15. 71 821 1.30 3128

75 37. 31. 321 . 7 623 . 1. 21.. 1.3 7 .55 15. 35 8 25 1.58 331.9

80 1.0. 60 3 71 . 8 696 . 6 25. 1.2 7.87 15.15 831 1.1.1 3590

85 1.3. SO 1.21 . 7 772.1 26. 33 8.23 15.09 839 1.27 381.1 90 1*6.95 1.72.0 81.7.6 27. 19 8.62 15. 11+ 81.8 1.16 1.0 96 95 50. 05 523 . 2 923.6 28. 02 9.0 3 15. 27 8 58 1.07 1.31*9 100 53.10 575 .5 1000.3 28. 80 9 . k^ 15. 1.5 868 0.9° 1.605 110 59. 09 685 .9 1153.6 30.31 10. 32 15. 96 889 0.87 5108

120 61.. 95 3 03 .6 1320 . 2 31. 72 11.02 16. 39 913 0.77 5605

130 70.60 919 .° 11.81.. 7 33. 03 11.57 16. 69 936 0.69 6073

1<»0 76. 21. 10 1.2 .8 1652.

7

31.. 28 11 .97 16. 93 962 0.63 651*8 150 81. 82 1168.1 1822.6 35.1.5 12.21 17. 05 990 0.58 70 15

160 87. 31* 1291* . 5 1993. 3 36. 5 5 12.33 17.07 10 17 0.51* 71.76 173 92. 82 11*21 .

1

2163.

7

37.59 12 . 35 17.01 101*5 0.50 7931 180 98. 26 151*7 . C 233 3. 1 38.5 5 12.29 16.88 1073 0.1*7 8381 190 103.67 1671 . 8 25 01 . 1 39.1*6 12.11 16. 72 1101 0 . 1*1* 8828

200 109.06 17 91* .9 2667. 3 1*0. 31 12.03 16. 53 11?8 0.1.2 9271

220 119. 76 2035.8 2993 .

9

1*1 . 87 11.71 16. 13 1182 0.38 1011.9

2<*0 130. 39 2269.6 3312. 7 1*3. 2 6 11 .1.0 15. 77 1231* 0.31. 11017

260 11*0. 96 21*97.1 362'*. 8 1*1*. 51 11.11* 15. 1.6 1281* 0.32 1 1878

280 151.50 2719.6 3931.5 1*5.61* 10.93 15. 22 1332 0.29 12731. 300 162. 00 2938.1 1*231* . 0 1.6.69 10.77 15 . 01* 1377 0.27 1 3585

TWO PHASE BOUNDARY

71
TABL£ VI. THtPMOnYNAMC PROPERTIES OF PflRAHYDRO&EN

90 BAR ISOBAR

tempera- molar internal

ture volume ener&v

< cm3/g j/g

• 16.532 12.28 -303.0

17 12. 32 - 3 00 ..^ 18 12.1(1 -Z^k .1

,19 12.51 -2'iH.C

20 12. 62 -281 . It

21 12. 73 -27i..5

22 12.8i» -26/'.

3

23 12.96 -259 .9 ^^ 13.09 -252.;

25 13.22 - 2 1*** . 2 26 13.36 -236.1

27 13.50 -227.6

28 13.66 -218 . <5 29 13. 32 -213.

C

30 13. 98 -2 00 .';

31 li^.ie -191. i* 32 1'*.35 -191.

H

33 l'..5i. -171. <; 3i» li».75 -lei.fl 35 lk.<i7 -151.'^

36 15.20 -1^1.

C

37 15.<*i. -13 0.3

33 15.69 -119.

39 15.96 -108.2

itO lb.2i» -96.9

16.84 -73.

o

17.51 -ea.2

1*6 18.25 -26 .

e

1*8 19.05 -2.1

50 19.92 22.5

55 22. 31* 8i*.0 60 25. U5 11*3.

H

65 27.91 200.5

70 30 .81 25"+. i» 75 33.71 306.3

8C 36.53 357.3

85 39.1.1 i»u3.1

90 1*2. 21 1*59 .2 95 1.1.. 97 5 11 .1 100 47.69 5 61*.

1

110 53. 01* 675 .7 120 5 8.28 791.4

130 63.1*2 911 .7 lAO 6 8.36 13 35.4

150 73.35 1161.3

160 78. 23 12'<8.3 170 83.17 1415.3

18U 88. 03 15 41 .

6

190 92.86 1666.7

200 97.66 1790.2

220 107.20 2031.6

21*0 116. 67 2265 .9 260 126.10 2493.6

280 135.48 2716.6

300 144. «3 2935.4

» TWO PHAiz BOUNDARY

ENTHALPY ENTROPY SPECIFIC

J/G J/G-K J/G-

-192.5 5.16 5.04

-189.4 5.35 5.12

-182.5 5.74 5.28

-175.4 6.13 5.44

-167.8 6.51 5.58

-159.9 6.90 5.70

-151.7 7.28 5.31

-143.2 7.66 5.91

-134.4 8.04 5.99

-125.2 8.41 6.37

-115.3 8.78 6.14

-106.1 9.14 6.21

-96.3 9.5 1 6.23

-85.7 9.87 6.33

-75. J 10 . 24 6 . 38 -64.3 10.60 6.42

-52.7 10.96 6.46

-41. U 11.31 6.50

-29.1 11.67 6.53

-16.8 12.03 6.56

-4.3 12.38 6.58

8.6 12.73 6.61

21.8 13.09 6.62

35.4 13.44 6.63

49.2 13.79 6.64

77.7 14.48 6.66

107.4 15.17 6.68

137.6 15.85 6.74

169.3 16.5? 6.78

201.8 17.18 6.82

235.1 18.77 6.93

369.3 20.24 7.01

451.7 21.55 7,14

531.7 22,74 7,33

609.7 23.82 7.58

686.5 24.81 7.89

7 62.3 25.7 3 8.25

333.1 26,61 8.64

915.8 27.44 9.04

993.4 28.23 9.46

1153.0 29.75 10.34

1315.9 31.17 11.34

1482.5 32.50 11.59

1650.7 33.75 11.99

1821.4 34.93 12.23

1992.8 36.0? 12.35

2163.8 37.07 12.36

23 3 3.9 38.0 4 12.33

2502.4 38.95 12.19

2669.1 39.81 12.04

2996.4 41. 37 11.72

3315.9 42.76 11.41

362 3.7 44.01 11.14

3935.9 45.15 10.94

423-^. 3 46 . 19 10 . 78

[dP\ (if)

HEAT VELOCITY vaT/y

CP OF SOUND

M/S BAR/K BAR-CM'',

6. 55 1484 10.15

6.71 1477 10.13 16654

7.01 1463 10.02 16123

7. 37 1451 10.04 15535

7.72 1437 10.01 14931

8.05 1423 9.95 14336

3. 36 1410 9.86 13812

3.67 13 96 9.75 13277

3. 96 1385 9.62 12825

9.27 13 69 9.48 122 84 9.58 1354 9. 33 11752

9.90 1337 9.17 11229

10.21 1321 8.99 10721

10 . 53 1304 8.81 10234

10. 85 1287 8.61 9745

11 . 16 1270 8.41 9291 11.47 1252 8.20 8839

11. 79 1234 7.98 8398

12.10 1216 7.75 7976

12. 42 1197 7.52 75 73

12. 73 1179 7.29 7186

13. 05 1160 7.06 6816

13.37 1142 6.83 6460

13. 67 1124 6.59 61 32 13.98 1107 6.36 5322

14. 53 1072 5.90 5246

15.10 10 39 5.46 4773

15. 62 1006 5.03 4369

16. 05 977 4.63 4034

16 . 41 951 4.26 3760 16.82 902 3.48 3353

16. 69 874 2.87 3212

16. 23 861 2.42 3258

15. 77 855 2.08 34 0 0 15.46 855 1.82 3585

15. 29 853 1.62 3799

15.25 863 1.46 40 29

15. 30 869 1.33 4268

15. 42 877 1.22 4516

15.59 8 86 1.13 47 61 16. 09 905 0.99 5258

16. 50 927 0.88 5750

16.84 952 0.79 6233

17.06 975 0.72 6685

17. 13 1001 0.66 7153

17.14 1028 0.61 7616

17.07 1056 0.57 80 73

16. 94 1084 0.53 8525

16. 77 1111 0.50 8974 16.58 11 38 0.47 9418

16. 17 1192 0.43 10299

15. 80 1244 0.39 11170

15.49 1293 0.36 120 34

15. 25 1341 0.33 12891

15. 06 1386 0.31 13744

72

\
TABLE VI. rH£='MrCVNfl:''I3 •^P0PEOTI£<^ JF P i=> fl H Y P R TG F N

IQO 04R ISOBAR

TEMPERA- MOLA' INTERfAL

TURE i/OLUME ENFRGY

K Cm3/G J/G

16.808 12.22 -302.1

17 12.23 -331.

C

18 12.32 -295.1

19 12.1.2 -2S8.Q

20 12.51 -232.5

21 12. 62 -2 75 .7 22 12.73 -268.7

23 12. Sit -251.5

2<f 12. 96 -251*.

j

25 13.03 -2U6.2

26 13. ?1 -238.2

27 13.35 -25j.C

28 13.1*9 -221 . f. 29 17.B1* -212.9

30 13. 79 -2 j1*.C

31 13.96 -191*.

9

32 11..13 -185.6

33 11*. 31 -176 . C 31* li».i»9 -165.3

35 11*. 69 -156.3

36 11*. 90 -11*6.2

37 15. 11 -135 .

S

38 15. 31* -125.3

39 15. 57 -111*.

7

«»0 15. 82 -133 .

R

1*2 16.36 -31.7

1*1* 16.91* -59.1

't6 17.57 -36.5

'*8 18.25 -13.

C

50 18. 99 10 . 7 55 21. 01* 70 .2 60 23.31* 128.9

65 25.81 185.3

70 28.35 239.6

75 30.91 292.2

80 33.1+5 31*3 .8 85 35.98 395.3

90 38. 1*9 1+1*7 .1 95 1*0. 97 1+99.7 100 1.3.1*2 553 .3 110 1*8. 25 665 .8 120 52.98 782.5

130 57.63 903.6

1«*0 62. 21 10 28 .1 150 66. 59 11 51*.

6

160 71. C5 1282.2

170 75.1*7 11*09.6 180 79. 85 1536.1* 190 81*. 21 1661 .8 200 88.55 1785.6

220 97.16 2027.6

2'tO 105. 71 22 62 .2 260 111*. 21 21*90.5 280 122.67 2713.6

300 131.09 2932.7

TWO PHASE BOUNDARY

i:NTHAL°Y EMTPOPY SPECIFIC

J/G J/G-K J/5-

-179.9 5.18 5.0 8 -171.6 5.26 5.11

-171.8 5.65 5.27

-15^.3 6.C3 5. 1*3 -157.3 6.1*1 5.57

-11*9.6 6.79 1^ .69

-11*1 . 5 7 . 1 7 5 .33 -133.1 7.51* 5.90

-121*. 1* 7.91 5.99

-115 .1* 8 . 28 6 . 07 -106.1 8.61* 6.1'* -96 . 5 ° . 0 0 6 . 21 -86. 7 9.36 6.23

-76.5 9.72 6.3^

-66.1 10.0 7 6.39

-55 . 3 10 .1*2 6 .1*3

-1*1*. 3 1 0 . 77 6 . 1*8 -32.9 11.12 6.51

-21.3 11.1*7 r.55

-9 .1* 11. 32 5 . 57 2.3 12. 6.60

15.3 12.50 6.62

23.0 12.81* 6.61*

1*1. 1 13 . 18 6 .66

51*. 1* 13 . 52 6 .67

81.9 11*. 19 6.63

110 .3 11.. 35 6.70

139. 2 15 .1*9 6 . 76 169.5 16. 11* 6.31

200.6 16.77 6 . 85 233.6 18.29 6. 95 362. 3 19.72 7.3->

1+1*3 .1* 21.01 7.17 523.1 22.20 7.36

60 1 . 2 23 . 2 7 7 . 61

673.1* 21*. 27 7. 92 755.1 25.20 8.27

832.0 26.08 8.66

90 9.1* 26.92 9.06

98 7 . 5 27. 72 9.1*3

111*3 . 3 29 . 25 10 . 36 1312.2 30.68 11.06

11*79. 9 32 . 0 2 11 . 51 1653.3 33.23 12.91

1320 . 5 31*. 1*6 12 . 25 1992.7 35.57 12.36

2161*. 3 36 . 61 12 . 33 2331*. 9 37. 5 3 12 . 31 253 3 . 9 38 .1*9 1 2 . 23 2571.0 39.35 12.05

2999. 2 1*0. 92 11 . 73 3319.3 1*2.31 11.1*1 3532. 6 1*3 . 56 11. 15

391*0 . 3 1*1*. 70 10 . 91+ 1*21*3.7 1+5.75 10.79

HE A T VELOCITY \dPh

C P OF SC'JNC K/S 3 A ^ / K ^ 1 0 . C m3

6.58 15 0 3 10.22 1 71* 5

1

o . 6 1* 15 31 1 C. 2 1 17 31.' 6.96 1 1* 89 10.18 16 7 8 3 7.27 11+76 10.12 1 62 1*5 7.61 1 1* 61* 1 C . 1 1 156 71+

7.93 1 1* 5 0 1 0 . 0 F' 15 0 89 3.25 1 1* 36 9.9 8 1 1*5 05 3.55 1 1* 2i* 9.88 1 !• 0 0 1 3. 81+ 11*10 9.76 1 31+82 9. 12 1799 9.63 1 30 35 9.1+1 13 85 9 . 1* 9 12516

9.71 13 70 9. 31* 1 20 03 13.01 1.3 51* 9.18 1 1 1+ 96 13.31 13 38 9.00 110 01+ 13.63 1322 8.82 1 3 5 3 3

13.89 13 0 7 8,53 10 0 81 11.19 1290 8 . 1* 7 96 31

1 1 . 1* 3 12 7 3 8.22 9197

11.77 1256 8.0 1 8773 12.06 1239 7.79 3368

12.31* 1221 7.5 7 79 79 12.63 1201* 7.35 7606

12. 91 11 87 7.13 ^251+ 13.19 1170 6.91 6902

1 3 . 1*6 1153 6.6 9 65 89

13.98 1121 6.25 60 15

11* • 1*8 10 90 5.82 55 02

1^ . 91+ 10 59 5 . 1.

1

5 0 76

15. 35 1031 5.02 1*710 15.69 1005 1..65 +1* 06 16.23 953 3.35 3891

16.30 920 3.22 36=^6 16.09 9 01 2.7 3 3616 15.76 8 91 2.35 37 03 15.51 8 86 2.06 3855

15.33 8 8 5 1.83 1.0 39 15.35 8 83 1.65 1* 2 1.

7

15.1+2 8 92 1.51 1*1* 6 8 15. 51+ 893 1.38 1+7 C 2 15. 71 905 1.28 1+939 16.21 921 1.11 51*23 16.61 91*2 0.99 59 0 7 16.93 965 0.89 63 89 17.15 990 0.81 6862 17.27 1011* 0.71* 7298

17.21 1 0 39 0.68 7762 17.13 10 67 0.61* 8220 16.99 1 0 91+ 0.59 36 7 3 16.32 1121 0.56 9123

16. 62 111.8 0.53 9569

16. 21 1202 0.1*7 101+5? 15. 8 3 1253 0 .1*3 11326

15. 52 1302 0.1.0 1 2191

15. 27 131*9 0.37 15051

15.08 1391* 0.31* 1 39C5

73
TABLE \Jl. T HFPMCn^ NiKIC PROPERTIES OF PflRflHYnROGEN

TE'^PtRfi- MOLA* INTERNAL

TUPE (/OLU«E ENERGY

^ Cm3/0 J/G

17.Ji.i -3.10.1

la 12.15 -296. < 14 l?.2i* -290 . 20 12. 33

21 12. 1.2 -2 77 .

f

22 12.52 -271.1

23 12. 62 -261..

1

2i» 12. 73 -256.9

25 12.«'« -21*9.' 26 12. 95 -2'<1.9

27 13. 07 -23'..

1

28 13. 20 -226.

C

29 13.33 -217.8

30 13.1.6 -2:9.3

31 13.61 -203.7

32 13. 75 -l-)l.e 33 13.91 -182 .!' 31* 1<.. 07 -1 73 .

f

35 11.. 23 -lo"..?

36 11.. 1.0 -151..

6

37 lit.5!J -11.1..

9

33 11.. 77 -135.0

39 11.. 97 -125.C

1.0 15.17 -111..

9

1*2 15.60 -91.. 2 16. u6 -73.1

1.6 16.55 -52.1

"S 17.09 - 30 . 1 50 17.65 -7.9

55 19.21 1.3.? 60 2:. 96 10'..7 65 22. 86 160.

C

70 21.. 85 211..

1

75 26. 39 267 .

T

80 23.95 319.8

85 31.01 372.2

90 33. 0 7 1.25.0 95 3 5. 11 i.7j.t laO 37.14 533.1

110 1.1.16 61.7.1, 120 1.5. 12 765 .6 130 1.9. 01 8 33 .1

li»0 52.36 1013.9

150 5d.65 111.1.7

160 60.1.0 1270.1. 170 61*. 12 1398 .9 180 67.62 1526.3

190 71. 27 16'^2.3 200 71.. 91 1776 .7 220 82.12 2019.7

21.0 89. 27 2255 .2 260 96. 38 21.31..

3

280 103.1.5 2703.0

300 110.50 2927.6

TWO PHASE BOUNDARY

ENHALPY ENTROPY SPECIFIC

J/G J/C-K J/G-

-154.9 5.22 5.15

-150 . 5 5.1.7 5.26

-11. 5 .6 5 . 85 5.1.1 -136. 3 6.22 5 .51. -128.7 6.59 5.67

-12 0.9 6.96 5.79

-112.7 7.32 5.89

-101.. 2 7.68 5. 93 -95.5 8. 01. 6. 07 -86.5 8. 39 6.11. -77 . 2 8 . 71. 6 . 21 -67.6 9.09 6.23

-57 . 8 9 .1.3 6.31.

-1.7. 7 9. 77 6.1*0

-37.1. 10.11 6.1.5 -26.3 IC.1.5 6.1.9 -15.9 10.78 6.53

-1..3 11.12 6.57

6.6 11.1.5 6.61

13.2 11.77 6.63

30.1 12.10 6.66

1.2.2 12.1.2 6.63

5^.6 12.71. 6.70

67.1 13.06 6.71

92.9 13.69 6.73

119.6 11.. 31 6.76

146.6 14.91 6.32

174.9 15.51 6.86

2 0 3.9 16.10 6.93

278.8 17.53 7.31

356.2 18.88 7.10

431.. 2 20 . 13 7.23

512.3 21.29 7.42

590.3 22.36 7.67

667.3 23.36 7.97

741.. 1. 2'.. 29 8 . 32 821.9 35.18 8. 70 399.9 26.02 9.10

973.3 26.83 9.51

1141.3 28. J8 10.39

1307. J 29.32 11.09

1476. 3 31. 17 11 .61. 161.3.2 32.1.5 12 . 04 1821 . 6 53. 61. 12 .23

1995 . 2 31.. 76 12.40

2163.3 35.81 12.1.1 2337.7 56.78 12.34

2507. b 37.70 12.22

2675.5 38.56 12.03

30 05 . 1 1.0 . 1 3 11 . 75 3326. 5 41. 53 11.1.3 361.0.8 1.2.79 11.17

3949.1. 43. 93 1.0 .96

1.253.6 1.4..98 10.80

HEAT VELOCITY Up CP OF SOUND \OPIj

M/S 8 AR/K bar-cm3/&

6.62 151.2 10.36 18I.81. 6. 83 1531. 10.35 18132

7.13 1523 10.33 17591.

7.1.3 1512 10.29 17058

7.74 1501 10.27 16512

8. 01. 11.89 10.21 15975

8.33 11.77 10.13 151.27 3.61 11.63 10.03 11.861. 3.88 11.51 9.92 11.393 9.15 11.39 9.79 13902

9.41 11.27 9.65 131.55 9.68 11.11. 9.51 12978

9. 95 11.00 9.35 12501

10. 22 1386 9.19 12025

10. 1.8 1371 9.02 11561

10.74 1357 8.81. 11138

11.00 131.3 8.66 10709

11.26 1327 8.1.6 10289

11.50 1313 8.27 9890

11. 76 1297 8.0 7 91.96 11. 99 1282 7.87 9135

12.22 1267 7.66 8777

12.1.5 1252 7.45 81.32 12. 68 1237 7.25 8102

13. 13 1207 6.81. 7471 13.56 1178 6.1.1. 6919

13.97 1150 6.05 61.58 14. 31. 1121. 5.68 601.3

11. . 65 1 0 99 5.32 56 91

15-. 26 101.5 1..52 5016

15. 56 1007 3.85 1.623 15. 63 979 3.31 4435

15. 59 961 2.88 1.391 15. 1.9 949 2.51. 1.459

15.1.3 943 2.26 4593

15. 45 91.0 2.01. 4756

15. 54 939 1.85 1.91.3 15. 69 gi.1 1.70 511.2 15.88 91.5 1.57 5352

16. 38 956 1.37 5801

16. 78 973 1.21 6261 17.09 991. 1.08 6732

17.30 1017 0.98 7198

17.38 101.1 0.90 7661.

17.37 1067 0.83 8126

17.27 1093 0.77 8582

17.13 1116 0.72 8981 16.91 111.2 0.68 91.32 16. 70 1169 0.61. 9880

16. 28 1221 0.57 10766

15. 39 1272 0.52 1161.3 15.57 1321 0.1.8 12512

15.31 1367 0.1. 1. 13371.

15. 12 11*11 0.1.1 11.230

74
TABLE l/I. THERMODYNAMIC PROPERTIES OF PARAH YT i?Or,EN

li»0 BAR ISOBAR

TEMPERA- MOLAR INTFRt.AL ENTHALPY ENTROPY

TURE VOLUME ENERTY

K J/ G J/G J/&-K

17.869 11. 99 -298.0 -130.2 5.26

IB 12.00 -297.3 -129.

3

5.31

19 12.08 -291 .5 -122.5 5.68

20 12. 16 -2S5.

5

-115. 3 6.05

21 12.2«» -279.

3

-107.9 6. 'I

22 12.33 -2 72.8 -lOJ .2 6.77

23 12. '2 -2 66.2 -92.2 7.12

2<« 12.52 -259 .3 -ik.a 7. '7

25 12.62 - 2 52 .

1

- 75 . < 7.82

26 12.73 -2 ''^ . fl -66.6 8.17

27 12. 81* -237 .3 -57.6 S.51

28 12.95 -229.5 -'8.3 8.85

29 13. 06 -221.6 -33.7 9.18

30 13. 19 -213.5 -23.9 9.51

31 13.31 -205.2 -18.9 9. 9'^ 32 IS.'f't -196.8 -3.6 10.17

33 13.58 -183.1 1.9 10.1*9

3<» 13.72 -179 .3 12.7 10.31

35 13. 86 - 1 7 0 • 23.7 11.13

36 lU.Ol -1 61 .3 3i^.9 11.1*5 37 Ik. 16 -1 52 .

0

"6.3 11.76

38 I'*. 33 -l't2.6 57.9 12.07

39 Ik. if9 -1 33 . 1 69.8 12.38

hO Ik. 66 -123.

t

81.8 12.68

i*Z 15. 02 -103.9 106.5 13.28

15.1»1 -83 .8 131.9 13.88

<f6 15.82 - 63.9 157.5 II*. l*!* <»8 16.25 -kZ.l 18't.'^ 15. 0 2 50 16.71 - 22 . C 212.0 15.58

55 17.97 31 .6 283.2 16. 91* 60 19. 38 86.0 357. 2 18.23

65 20.90 139.9 '32. < 19. '3

70 22.51 193. 508.'+ 20 . 56

75 21*. 18 2'^6.'+ 581^. 9 21.61

80 25. 89 2 99.3 661.7 22.60

85 27.61 352.2 733. 8 23.51* 90 29. 31* 1^05.6 316. 3 ?'..i*2 95 31. 06 '59.

P

89i^. 6 25.2 7 1 00 32. 78 515.0 9 7'^ • 0 26 .08

110 36.20 630 .6 1137. < 27.61* 120 39. 58 750,0 1301+.2 29.09

130 '2.93 8 73 .7 l'+7'^. 7 30.1*6

1<»0 '6.23 1000 .6 16'+7.9 31.71* 150 1*9. 50 1129. 1822.'* 32. 91^

160 52. 73 1259.

C

1997.2 3<^. 07 170 55.93 1 3 38 . ? 2171.3 35 . 1 3 180 59.13 1516.7 23'^i^. 1 36. 12 190 62.25 16'^3 . 5 251i^.9 37. Oi^ 200 65. 37 1768.5 2683.7 37.90

2 20 71.39 2012.2 3011 .6 39.1*7

2'*0 77. 51* 22'^8.6 333i«. 2 1*0.87

2 60 83.66 2<^78.2 36'^9.4 1.2. 13 28C 89. 7'^ 2702.6 3958.9 1*3.28 300 95.79 2922.

7

'263. 3 i*'*.3 3

TWO PHASE BOUNDARY

SPECIFIC HEAT VELOCITY (aiL (Tp) \dPh

CP OP SOUND

\^ 1 #y

J/G- K M/S BA-i/K 3A R-C M'*

5.21 6.67 1578 10.50 1 91* P R 5 .2<* 6.71 1577 10.50 191.20 5. 39 7.00 1567 1 0 .1.9 if.goo

5.52 7. 29 1557 10.1.7 13361 5.65 7.57 151.7 10.1*3 1 73 6^ 5.77 7.35 1536 10.36 1 731.7 5.3 7 3. 11* 1526 10.36 16306

5 .97 3. 'I 1515 10.27 16299

6.06 3.67 15 03 10.17 157 86 6.1^ 3.93 11.89 10.06 1521.6 6.21 9. 18 11*79 9.93 11.301 6.23 9.1*3 11*66 9.80 11.33'. 6.35 9.67 11*51* 9.65 1 3880

6.1*3 9.91 11*1*2 9.51 131*1*1

6.1*6 10.16 11*30 9.36 12997

6.51 10. 'a l'*16 9.19 1251*9 6.55 10.63 1'.03 9.03 121 35 6.59 10.87 1390 8.85 11723

6.63 11.09 13 77 6.67 113 21 6.66 U. 32 1363 8.1*9 10926

6.69 11. 53 1350 8.30 10569

6.71 11.71* 1336 8.11 10213

6.73 11.91* 1323 7.92 9365

6.71* 12. 11* 1310 7.73 9530 6.77 12. 51 1233 7.35 89 10 6.80 12.89 1257 6.97 33 31. 6.37 13.29 1229 6.60 7800 6.91 13.63 1201* 6.21. 7352 6.96 13. 93 1180 5.89 6958

7.05 11*. 53 1128 5.10 6179

7.15 11*. 92 1086 1..1.2 56=17 7.29 15.15 10 51* 3.85 531.1* 7.1*3 15.26 1030 3.38 5199

7.72 15. 32 1012 2.99 5165

8.02 15. 38 1000 2.68 5222 8.37 15.1*5 992 2.1.1 5335

8. 75 15.58 988 2.20 51.80 9.15 15. 76 986 2.02 561.8 9.55 15 . 96 987 1.86 5 6 31. 10 .1*3 16.1.9 993 1.62 6231* 11.12 16. 90 1006 1.1*3 6667

11 .63 17. 21 1021* 1.28 7113

12.07 17.1.2 101.5 1.16 7567

12. 32 17.50 1C68 1.06 30 ?!.

12.1*3 17.1*7 1092 0.98 R'+77 12 .1*1* 17.37 1117 0.91 8931 12.37 17.20 111*2 0.85 9362 12.25 17.00 1167 0.80 98 25 12. la 16, 77 1193 0.75 10275

11.77 16. 31* 121*1 0.67 11090

11 .1*5 15.91* 1291 0.61 1 1968 11.13 15.61 1339 0.56 12339

10.97 15. 35 1385 0.52 1 37 02

10 . 31 15. 16 1«*29 0.1*8 1'.561

75
TABLE >/I. THE'^MOrVNAMIC PROPERTIES OF PAOAHYDROGEN

16C dl\< ISOBAR

TtMPERA- MOL A^ INTFPfflL ENTHALPY ENTROPY

T J P£ VOLUME E fsl F R 0 Y K Cm3/g j/r. J/G J/G-K

IB .578 11. 88 -295 . S -105.7 5.30

19 11 . 93 -292.3 -101.4 5.52

20 12. CO -286 .5 -94.4 5.88

21 12.08 -280 .4 -87.1 6. 24

22 12. 17 -2 74 . 2 -79.5 6.59

23 12. 25 -267.7 -71.7 6.94

2'f 12. -2(^1 . 0 -63.6 7.28

12 • - 2 54 • 2 -55.3 7.62

26 12. 5i -247.1 -46 . 7 7.96

27 12.65 -239 . 6 -37.8 8.30

28 12.73 -2 32 . 3 -28.7 8.63

29 12.83 -224.7 -19.4 8.96

30 12. 94 -216.9 -9. 8 9.28

31 13.06 -208.9 -0.0 9.60

32 13. 17 -2 00.8 10.0 9.92

33 13.29 -192 .5 20 .2 10.23

3(* 13. '2 -184.0 30.7 10.55

35 13.55 -175.4 41.4 1 P • 8 5 36 13. 68 -166.6 52.2 11.16

37 13. 82 -157.8 6 3.3 11.46

38 13. 96 -148.7 74 . 6 11.77

39 I'*. 10 -139 . f 86 . 0 12.06

(fO 14.25 -1 30 . 3 97.7 12. 36

'«2 14.57 -1 11 .5 121.5 12.94

14. 90 -92.4 146.0 13.5 1 15.25 -73 .3 170.6 14. 06

l«8 15.62 -53.4 196. 5 14 . 61

50 16. 01 -33.1 2 2 3 .0 15.15

55 17. 06 18.5 291 . 5 16 .45

60 18.23 71.1 362. 7 17.69

65 14. 49 123.6 435 .5 18.86

70 2C . 84 1 76 .2 509 .6 19.95

75 22.24 228 .9 584.7 20 . 99

eo 23.68 281.6 660 .5 21.97

«5 25. 15 334 .8 737.2 22.90

90 26. 63 3 88 .5 814.6 23.78

95 28. 11 443 . 2 393. 0 24.6 3 inn 1 u u ? Q fs n c ^ • o u cz> • ^ ^ 110 32. 56 615.4 1136 . 3 27. 01 120 35. 50 735 .8 1303.8 28.46

130 38. 42 3 60.4 1475.2 29 . 8 4

11*0 41. 31 983.2 1649.

2

31 . 13 150 44. 17 1117.9 1824.6 32. 34

160 47.01 1248.3 20 00 . 4 33 .47

170 49. 81 1378.4 2175.4 34.53

160 52. 6J 15Q7 .4 2349. 0 35.52

190 55.3b 1634.9 2520 . 7 36.4 5 p nn c;7 4D • 11L L C O 7 J • c. 37 3 2 220 63. 54 2005.5 3022. 1 38 . 90

2t»0 6 3, 75 2242 .2 3342. 3 40 . 30 260 74.12 2472.5 3658.4 41.56

2 80 79. 46 2697.4 3968. 7 42. 71 300 84. 76 2913 . C 4274. 2 43. 77

TWO PHASE G3UNDARY

SPECIFIC HEAT VELOCITY \dPlj

Ci/ CP OF SOUND

J/G-K M/S BAR/K B4R-Cm3/G

5.27 6. 71 1614 10.65 20467

5.37 6. 89 1608 10.65 20154

5.51 7. 16 1599 10.63 19650

5.63 7 • ^ 1 ^ on 1 n 1 f Q 1 /»A 5 . 75 7.70 1580 10.57 18644

5 . 86 7. 96 1570 10.51 18144

5 .96 3.22 1560 10.44 17648

6 . 05 3. 49 1550 10.41 17121 6.13 8. 74 1540 10.31 16643

6.21 8.98 1528 10.20 16160

6.28 9. 22 1515 10.07 15646

6.35 9.45 1505 9.94 15220

6.41 9.67 1493 9.80 14777

6.47 9.90 1481 9.65 14315

6.5? 10.12 1470 9.50 13906

6 .56 10. 34 1458 9.35 13493

6.61 10. 56 1446 9.19 13074

6 .65 10. 77 1434 9.03 12691

6.68 10 . 98 1421 8.86 12300

6.71 11. 18 1409 6.68 11922

6.74 11.37 1397 8.51 11572

6 . 76 11.56 1385 8.33 11224

6 . 78 11. 73 1373 8.15 10892

6.81 12. 07 1349 7.79 10266

6.34 12. 41 1325 7.4 3 9677

6 .91 12. 76 1300 7.07 9145

6 . 96 13.10 1275 6.73 8634

7.01 13. 41 1251 6.39 8177 7.11 13. 98 1200 5.61 7333

7 . 20 14. 39 1159 4.92 6720

7 . 34 14. 71 1124 4.34 6302

7.53 14. 93 10 96 3.84 6057

7 . 73 15. 09 1074 3.42 5943

8 .08 15 . 26 1057 3.08 5913

3 .4? 15 . 40 1045 2.78 5966

8 . 80 15. 57 1037 2.54 6071

9 .19 15. 77 1032 2.33 62 09

9 .60 15. 99 1030 2.16 6362

10 .46 16.55 1030 1.67 6716

11 . 16 16. 98 1040 1.65 7106

11 .71 17. 31 1055 1.48 7529

12 .11 17. 51 1073 1.34 7967

12 . 35 17.59 10 94 1.23 8408

12 .46 17. 56 1117 1.13 8656

12 .47 17.46 1141 1.05 9299

12 .41 17.29 1165 0.96 9745

12 . 29 17.08 1190 0.92 10190

12 . 14 16. 84 1215 0.86 10634

11 . 80 16. 37 1264 0.77 11506

11 .47 15. 98 1309 0.70 12300

1 1 . 30 15.66 1357 0.64 13171

10 .99 15. 39 1402 0.59 14036

10 . 82 15. 19 1446 0.55 14896

76
TABLE THERMCOVNAMIC PROPERTIES OF PARAHYD^OGEN

180 BAR ISOBAR ldP\

TEMPERA- MOLAR INTERNAL ENTHALPY tNTPOPY SPECIFIC HEAT \/FLOCITY \dp]

TURE t/OLUME ENERGY CP OF SOUNO W 1 1 w

p M 3 / r. J1 / rV

1 / r J / \j J/ & - K K H/S A R/ K '5^ K - C

"

18.87I* 11. 78 -293 .i* -81.3 5.37 5.33 6. 75 161.8 10.79 211.?!. 19 11. 79 -292 .

7

-80.5 5. ?8 5 . 35 6.79 161.7 10.79 2136?

20 11. 36 -2 87 .1 -73.5 5.73 5.1.9 7. Ob 1638 10.79 20873

21 11. 1U -281.2 -66.1. f.. 08 5.62 7. 32 1630 10.77 20383

22 12. 01 -2 75 . a -58.9 6.1.3 5.73 7.58 1621 10.71. 19893

23 12.09 -268.9 -51.2 6.77 5.81. 7.8 3 1612 10.70 191.01.

2(» 12. 18 -2 e2 .1. -1.3.3 7.11 5.91. 8.07 1603 10.61. 18918

25 12.26 -255 . 7 -30.

1

7.1.5 6 . 01. 8. 32 1593 1 C.57 181.35 CD _~ 7 a Q c 4 0 • \J ~ c b • o

7 7 a 6.12 8.55 15 81. 1 0 . 1.9 1795 8 27 12. <*'« -21)1.8 -17.9 fl. 10 6.23 8.81 15 71. 10.1.3 1 71.53 28 12.53 -231. . e -9.0 8.1.3 6.29 9. Qi. 1561. 10.32 170 02 29 12.63 -227.? 3.1 8.75 6 . 35 9. 26 1553 10.20 1651.'. 3Q 12. 73 -219 .f. 9.5 9.37 6.1.1 9. 1.8 151.1 10.07 16058

31 12. 83 -211 .° 19.1 9.38 6 .1.7 9. 69 15 31 9.93 15652

32 12.9i« -231.. 0 28.9 9.69 6.52 9.90 1520 9.79 15228

33 13.05 -196.

C

38.9 IC .00 6.57 13.10 1508 9.61. 11.808

3«» 13. 16 -1 57 .8 1.9 . 1 10. 30 6.62 10. 31 11.97 9.50 11.382 35 13.28 -179.

59.5 10.61 6 .66 10. 51 11.36 9.31. 13903

36 1 3. 0 — 1 7 1 . G r U . i in Q

1

1 iT 7 il 1 U • r U i H f 7 Q 1 Q 1 O D 1 n 37 13.52 -162.1. 80.9 11.20 6.73 10. 89 11.63 9.02 1321.3 38 13. 65 -1 53 .7 91.9 11.1.9 6. 76 11. oa 11.52 8.86 12871. 39 13. 78 -1'.'..9 103.0 11.78 6 .79 11. 25 11.1.1 8.69 12531.

1*0 13. 91 -136.

C

111..1. 12.37 6. ^3 11.1.1 11.30 8.52 12191.

t*Z 1<». 19 -117.8 137.5 12.61. 6.81. 11.71. 11.08 8.18 1151.9

1*1* 11*. i»8 -99.3 161.3 13. 19 6 . 87 12. 01. 1386 7.81. 10970

i*b l"*. 79 -31 .C 185.2 13. 72 6.91. 12. 37 1363 7.50 101.28

1*6 15. 11 -ei.7 210.2 11.. 25 7.03 12. 67 131.0 7.17 9915

50 15. "tS -1.2.2 235.9 11.. 77 7.05 12.95 1318 6.81. 91.55

1. D • J O 7 8 •J lie. 9 c ID • U H I J • 7 7 1 9(k7 P. n 7 AL. O H AO 7» 60 17.36 58. 9 371.3 17. 21. 7. 26 13. 97 1225 5.38 7795

65 18. (»3 110 .2 1.1.2. 1 18. 37 7.39 11.. 32 1189 1..79 7290

70 19.58 1 ei .9 511.. 1. 19.1.5 7.51 11.. 61 1158 1..27 6 963

75 2C. 78 211. .C 588. 0 20.1.6 7.3 3 11.. 86 1133 3.83 6763

80 22. 02 2 66 .5 662.9 21.1.3 8 .12 15. 08 1113 3.1.6 6678

85 23. 29 319.6 738. 8 22. 3 5 8.1.7 15. 30 1097 3.11. 6661. 90 2'».58 3 73 .5 815.9 23.23 8.81. 15. 52 1085 2.87 6711

95 25. 87 1.28.1. 891.. 1 ?!.. 0 8 9.21. 15. 75 1077 2.61. 6806

ICQ 27.17 1.81..

3

973.1. 21.. 89 9.61. 16. 00 1072 2.1.'. 6927

1 4 n 1 lU o U 1 • o IX O f .5 1 U • 7 U lO • 7 r 1 ub9 c .Xc 7f O TC c. JD 120 32. 37 7 22. 7 1305.1. 27.91 11.19 17. 03 1071. 1.88 7588

130 31.. 95 81.8 .1 11.77. 3 29.29 11 .71. 17.37 1086 1.68 7980

ItfO 37.52 976.7 1652.0 30 .58 12 .11. 17.58 1102 1.52 8392

150 '•0.06 1107.1 1828.2 31.80 12.38 17.66 1122 1.39 8818

160 1*2. 58 1238.2 2001.. 7 32.91. 12.1.9 17. 61. 111.3 1.28 9253

170 1*5. 08 1369.0 2180.5 31.. 30 12 .51 17.53 1165 1.19 9690

180 i»7. 56 11.98.7 2351.. 8 35.0 0 12 .1.1. 17. 36 1189 1.11 10129

190 50. 02 1626.

8

2527.2 35.93 12. 32 17. 15 1?12 l.Oi. 10565

200 52. '•7 17 53 .0 2697.1. 36.8 0 12.17 16. 91 1236 0.97 110C2

220 57. 31 1999.1 3030.6 38. 39 11.83 16. 1.3 1281. 0.87 11875

2<»0 62. 09 2236.9 3351..

5

39. 80 11.50 16. 00 1331 0.79 12729

260 66. 71 21.67.3 3663.

0

1.1 .06 11.22 15.66 1373 0.72 13509

280 71.1.6 2692.1. 3978.

7

1.2.21 11.03 15.1.3 11.20 0.67 11.371. 300 76. 19 2913.5 1.281..

9

1.3.27 10 .31. 15. 22 11.63 0.62 15231.

TWO PHASE BOUNDARY

77
TABLE THEf ^'CD>NA^!IC PROPERTIES OF P APAHY D'^OGEN

200 BAR ISOBAP

n U L H

" T M T p p Ki rt 1 r mt -J A 1 o V c. n 1 T L " T pC MT1 pK nU PVr 1 TURE ENERC-Y

K Cm3/g J/G J/G J/G-K

IS. 360 11. 69 -291.0 -57.2 5.37

20 11.73 -2 (7.1* -52.8 5.59

21 11. 80 -281 .7 -1.5.7 5.91. 22 11. 88 - 2 75. 8 -38.3 6.28

23 11.95 -269 . 7 -33.7 6.62

2'* 12. 03 -2 63 . 1. -22.9 6.95

C !7 IP 1 n 1 c • X u — 2 9 6 ^ 1 . n 26 12. 19 -2 50 .3 -6.6 7.60

27 12.27 -21.3 . 1. 2.0 7.93

28 12. 36 -2 36.1* 10.7 8 . 21. 29 12. 1.5 -229.2 19. 7 fl. 56

30 12. 5<» -221 .8 28.9 8. 37

31 12.63 -211..

3

38.3 9.18

32 12.73 -206.7 !.7.9 9.1.9 33 12. 83 -1 98 . 9 57.8 9.79

3<» 12.93 -190 .9 57.3 10.09

35 1 3 . 0 4 - 1 82 . 9 73.0 10.38

36 13.15 -171..6 83.3 10 .57

37 13. 2-3 -166 .3 9H.9 10.96

38 13.33 -157.9 109.6 11.25

39 13. '.9 - 11*9 . 3 120.6 11.53

<»0 13.61 -1 1*0 .6 131.6 11.81

'2 13. 86 -123.0 151..

2

12. 37

l**. 13 -1C5. 1 177.1. 12.91

'f6 11*. 1*0 -87 .3 200 .7 13.<.2

<«8 l'f.69 -68 .6 225.

1

13. gi. 50 1^*99 - 1+ 9 •

(" 2 5 u . 1 1 , ^ 55 15. 79 -1.1 311.. 6 15.68

60 16. 66 1*8 .8 332. 0 16.35

65 17.60 99 . 0 1.51 . 1 17.96

70 18.60 11*9.

Q

521. 3 19. 01

75 19. 6i» 201.3 591..

2

20.01

80 20.73 2 53 .1. 668 . 0 20.96

85 21. 8'« 306.3 71.3 . 1 21.3 7 90 22. 97 3 £0 .2 819.7 22. 71. 95 2^*. 12 1.15.2 397.6 23.59

inn 2 5 • 2 7 1* ? 1 . 3 9 76.8 2^ • ^ 0 110 27.59 589.1 111*0 . 8 25.96

120 29. 90 7 10.8 1303 . 3 27.1.2 130 32. 21 836 . 8 11.81 . 0 28.3 0 1<»C 31.. 51 9 66 . C 1656.

2

JC . 10 150 36. 80 1 0 97 .0 1832.9 31. 52

160 39. Co 1228 . 7 2010.0 32 .1.6 170 1.1. 32 1360.1 2136.1. 33.5 3 180 1.3. 55 11*90 .1. 2361.1. 3«..53 190 1.5. 77 1619 .

1

2531.. 1. 35.1.7

2 00 1. 7 . 9 7 1 7 1* 5 .8 27 0 5.2 36 . 31. 220 52. 3? 1992 .9 30 39.6 37 .91. 240 56.65 22 31 .7 3361..

6

39. 35 260 60.92 21.63 . 1 3681.1. 1*0.62 280 65, 15 2688 .

5

3991.5 1.1.77 300 69. 33 2909.3 1.295.9 1.2.82

TWO PHA5£ BOUNDARY

ft T

Ctf CP OF SOUND

J/G- K M/S BAR/K B4R-Ch3>

5.33 6.79 1681 10.91. 22361

5.1.7 6. 96 1676 10.91. 22056

5.63 7.22 1668 10.93 21579

5 .72 7.<.7 1660 10.91 21101

5.33 7.71 1652 10.87 20623

5.93 7. 95 161.3 10.82 2011.6

D • J c 3 • 1 0 1 D OH in 7 1 U • f D

A QC TO 1 ( t 6.11 3. 1.1 1625 10.69 19201

6.20 3.61. 1616 10.61 18735

6.28 8. 86 1607 10.52 18276

6 .35 9. 10 1597 10.1.1. 17799

6.1.1 9. 30 1588 10.32 17371

6 .1.7 9.51 1577 10.19 16939

6.53 9. 71 1566 10.06 161.82 6.58 9.90 1556 9.92 16090

6.63 10. 09 151.6 9.78 15687

6.67 10 . 29 15 35 9.6 3 152 79 6.71 10.1.8 1523 9.1.8 11.863 6.75 10. 66 1513 9.33 11.1.96 6.73 10.83 1503 9.18 11.11.7 6. 31 10. 99 11.93 9.02 13791. 6.83 11. 15 11.82 8.86 131.1.5

6 .87 11.1.6 11.62 8.53 12801. 6.90 11. 75 l<.i.l 8.21 12211

6 .98 12. 06 11.19 7.88 11651

7.03 12.31. 1398 7.56 1111.7

7 no 1 ? n 1 C • 0 u J.1 70 7A» 0 1 1 ft 7 P 7.20 13. 20 1328 6.1.9 9632 7.30 13.63 1286 5. SO 3861.

7.1.1. 13. 99 121.9 5.20 8299

7.63 11.. 32 1217 1..67 7891. 7.87 11.. 62 1190 1..22 7626

3.17 11*. 90 1167 3.82 71.62 8.51 15. 17 111.8 3.1.9 7399

8.89 15.1.1. 1131. 3.19 7397

9.23 15. 71 1123 2.91. 7*. 1.5 9.63 15.97 1115 2. 73 7533

10.51. 16.58 1107 2.37 7788 11.23 17. Qi. 1109 2.10 8102

11.77 17.1.1 1118 1.88 81.52 12.17 17.63 1132 1.70 881.3 12.1.1 17. 72 111.9 1.56 921.6 12.53 17.70 1169 1.1.3 9670

12.51. 17. 59 1190 1.33 10097

12.1.7 17. 1.2 1212 1.21. 10522

12.35 17.21 1235 1.16 10957

12.23 16.97 1259 1.09 11391

11 . 36 16. 1.9 1305 0.97 1221.6 11.53 16. 05 1350 0.88 13106

11 . 25 15. 67 13 91. 0.80 13951

11.03 15. 37 11.36 0.71. 11.791. 10 .35 15.22 11.78 0.69 15576

78
TABLE THE'^MC DYNAMIC PROPERTIES OF P A'^fl H Y C ROGE N

220 BUR ISOBAR

TEMPERA- MOLAR INTER^AL

TURE VOLUHE EMEROY

K Cm3/G J/G

• 19.835 11.60 -288.5

20 11.61 -267.6

21 11.68 -2'<2.0 22 11.75 -276.2

23 11.82 -270.3

2<f 11. 89 -26'».1

25 11.96 -257.8

26 12.0'* -251.3

27 12.12 -2ki*.b 28 12.20 -237."

29 12.28 -2 30.8

30 12.37 -223.6

31 12.145 -216.7

32 12. 5<* -208 .8 33 12.6'* -2J1.2

31* 12. 73 -193 .5 35 12.83 -115.6

36 12.93 -177.6

37 13.03 -169.5

3d 13. 1*4 -161.3

39 13.2'* -153.0

1*0 13.35 -If*!*."?

l»2 13.58 -127.'.

<<» 13. B2 -109.9

i*b It*. 07 -92.6

<»8 It*. 33 -71*.

50 11*. 60 -55 .9 55 15.31 -8.6

60 16. 09 '0.2

65 16.92 89,5

70 17.81 139.6

75 18. 73 190 .'*

80 19.69 2'42.0

85 20.68 29'..

7

90 21. 69 3'.3.'^ 95 22. 71 '03.'. 100 23. 7<. 1*59.7 110 25.82 577.8

120 27.91 699.9

130 29.99 826.'.

1**0 32. 07 956.0

150 3'..1'* 1 0 87 .6

160 36.20 1219.8

170 38.25 1351.7

180 '*0.28 l'*82.6 190 '2.30 1611.8

200 UU.30 1739.0

220 '8.27 19e7.1

2'»0 52. 20 2226.7

260 56. 08 21*59.0 280 59.93 26B5.2

300 63.76 2906.5

TWO PHASE BOUNDARY

ENTHALPY EMTROPY SPECIFIC

CM J/G J/G-K J/G-

-33.2 5 . 1* 0 5 . 1*2 -32. 1 5 . 1* 6 5 . 1*5

-25.

1

5.80 5.58

-17.8 6.11* 5.70

-10.3 6 . 1*7 5.81

-2.6 6.8U 5 . 92

5 . 3 7.12 6.01

13.5 7. 1*1* 6.10

21.9 7.76 6 .19 30.5 8.08 6 .27

39. < 8. 39 6 . 31* i.^. 1* 8.69 6 .1*1 57.7 9.00 6 67.1 9.30 6 .53

76. 3 9.59 e . 59

86 . 6 9.89 6 . 61* 96.6 10.18 6 . 63 106.8 10 . 1*6 6 . 72 117.2 10. 75 6 . 76 127.7 11. 33 6 . 80 138. ' 11.31 6 .82

li^-). 3 11.58 6 . 35

171.1* 12.12 6 . 89

191*. 1 12.65 6.93

216.9 13. 16 7.01

21*0.8 13. 66 7.07

265. 2 1<* .16 7.12

328 . 3 15.36 7 .21* 391* . 2 16.51 7 . 31* 1*61 . 8 17.59 7 .1*3 5 31.3 18.62 7.67

602. 1* 19.60 7 . 92 675.2 20.5'* 8 . 21

71*9.6 21.1*5 8 . 56

8 25.6 22 . 31 8.93

9 0 3.0 23.15 9 . 52 982 . 0 23 . 96 9.7?

11 1*5 . 9 25 . 52 10.57

1313.9 26.98 11.26

11*86 . 2 ?fl . 36 11.33

1661.6 29 .66 12. 20 1838.7 30 . 89 12 . 1*1*

2016.3 32. 0 3 12.56

2193.2 33. 10 12.57

2368.

7

3<^. 11 12.50

251*2. 3 35.01* 12.38

2713.6 35.92 12.23

30'*9. 1 37.52 1 1 . 89 3375. 1 38.91* 11.57

3692.9 1*0.21 11.29

1.0 0 3.8 1*1. 37 11 . 06

1*309. 1 1*2.1*2 10.33

Id P\ ldP\

HEA T VELOCITY

larlv C P OF SOUND

M/S BAR/K

6.83 1712 11.38 2 32 SO 6.87 1711 11.08 2 32 01*

7.13 170'* 11.08 22739

7 . 37 16 97 11.07 222 73 7.61 1689 11. 01* 218 06

7.81* 1681 11.00 21338

8.06 1673 10.9'. 20872

3.29 1665 10.88 2 01. 08 3.51 1656 10.81 1991.6 3.73 16'*7 10.72 191.92

8.91* 1638 10.63 1901.1. 9.15 1629 10.53 18603

9. 36 1620 1 0.1.3 18159

9. 55 1611 10.31 1 7750 9.73 1601 10.18 1 731.0 9. 92 1590 10.0'. 16913

10.10 1581 9.90 16536

1 J. 27 1571 9.76 16152

10 . 1*5 1560 9.61 15757

10.63 15'*9 9.1*7 15352

10. 78 151*0 9.32 150 02 13.93 1531 9.17 11.678

11.22 1512 8.86 11.032 11.51 11*92 8.5'* 131.07 11.80 l'*71 8.23 128t.9

12. 07 1«»51 7.92 12333

12. 33 11.32 7.61 IIS'.O

12 . 89 1386 6. 87 1 0786

13. 31* 131*3 6.19 9928 13.72 1306 5.58 9300

11*. J7 1273 5.05 8832

11*. 1*0 12'*3 '..58 81*99

li*. 72 1219 '..17 8292

15. 0'* 1197 3.81 9157

15. 3'* 1181 3.51 8111

15. 65 1167 3.21* 3117

15. 91^ 1157 3.00 8161. 16. 57 111*5 2.62 8368 17.05 111*1* 2.31 861.1* 17.^2 1150 2.08 8961 17.67 1161 1.88 9310

17. 77 1177 1.72 9700

17. 75 1195 1.58 10100

17. 65 1215 1 .1.7 10513

17. 1^7 1236 1.36 1 0937

17. 26 1258 1.28 1 1362

17. 03 1281 1.20 11785

16. 51* 1326 1.07 1 2639

16. 09 1370 0.97 1 31.85 15.72 11.12 0.88 11.723 15. 1*1 11*53 0.81 15157

15. 16 11*93 0.75 15992

79
TABLE i/I. THERMCOYNa-iIC PROPERTIE*^ OF P A " fl H Y D ?0& f: N

ZtfO BAR ISOBAR

TEMPERA- MOLAR INTERNAL ENTHALPY ENTROPY

TUPE VOLUME ENERT-Y

K cm3/g j/g j/g j/g-k

SPECIFIC HEAT VELOCITY (||) f^j

CP OF SOUND ' 'V 'I

J/G-K RA-?/K T1P-C"3/G

OF SOUND

M/S

20.300 11. 52 -285 .9 -9. < S.kk 5 .147 6 . 87 I7if3 11.23 21*1 61* 21 11. 56 -282.1 -'..5 5.67 5 . 56 7.0'* 17 39 11.23

22 11.63 -276. 2.6 6.00 5 .68 7.28 17 32 11.22 231.12 23 11. 69 -2 70 .6 to.u 6.33 5.80 7.51 1725 11. 2C 22956

2<» 11. 76 -26'..

6

17.6 f.. 66 5.93 7.71* 1718 11.16 221.98 25 11.83 -258 .i* 25.5 6.98 6. OJ 7. 96 1710 11.11 2201.0 26 11.90 -2 52 . 1 33.6 7.30 6.39 8. 18 1702 11.06 21583

27 11.98 -2'*5 .6 (.l . rt 7.61 6.18 3. 39 1691* 10.99 21129

28 12.05 -273.9 50.3 7.92 6 . 26 8.60 1686 10.91 20678

29 12. 13 -2 32 .C 59.0 8 . 22 6 .3'* 3.81 1677 10.83 20232

30 12.21 -225.0 68. 0 8.52 6 .1*0 9. 01 1669 10.7'» 19793

31 12. 29 -217 .9 77.1 8.82 6.1.7 9.21 1660 10.61. 19361

32 12. 37 -2 10 .f^ 36.1. 9.12 6.53 9. 1.1 1651 10,51. 18938

33 12. '6 -203.2 95. 9 9. 1.1 6.59 9. 59 161.2 10.1.2 13528

31. 12.55 -195 . ^ 105.6 9. 7C 6 . 61+ 9. 77 1633 10.29 1 81 38 35 12.61. -1(7.9 115.5 9.99 6 .69 9. 91. 1621. 10.16 1771.8 36 12. 73 -180.1 125.5 10.27 6.73 10. 11 1611. 10.02 17352

37 12. 83 -1 72 .2 135.7 10.55 6.77 13.27 1605 9.88 16989

38 12. 92 -151..? 11*6. a 10 . 82 6.81 10. 1.3 1596 9.71. 16622

39 13.02 -156.

C

156.5 11.10 6.3'. 10.59 1586 9.60 1621.2

1.0 13.12 -11.7.8 167.2 11.37 6 .86 10.75 1575 9.1.5 1 581.8

'.2 13.33 -131.1 189.0 11.90 6 .91 11.02 1558 9.15 15208

1*1* 13.55 -111..Q 211.3 12. 1.2 6 .95 11. 29 151.0 8.85 11.601.

<f6 13. 78 -97 . 1 233.6 12.91 7.03 11. 58 1520 8.55 11.026

«t8 11.. 02 -79 .3 257.1 13.1.1 7.13 11.85 1500 8.25 131.76 50 li». 26 - fl .3 281.0 13.90 7.15 12.10 11.82 7.95 12987

55 11.. 91 -11. . 9 31.2. 9 15. 08 7.23 12. 61. 11.38 7.23 1 1905

60 15.61 32 .9 1.07.5 16.21 7.33 13. 09 1398 6.56 110 17 65 16. 36 31.1. 1.73.9 17.27 7.52 13. 1.8 1359 5.91. 10315

70 17. 15 1 30 . 7 51.2 . 2 18.28 7.71 13. 81. 1325 5.1.0 9788

75 17. 98 1 30 .9 612.3 19.25 7.96 11.. 20 1295 1..92 91.03

80 18. 81. 2 32 .1 68i. . 2 20.18 8.26 11.. 55 1268 1..50 9127

85 19. 72 281. .1. 757 .3 21.07 8.60 11*. 90 121.6 1..13 3957

90 20.63 338 .0 8 33.1 21.93 8 .97 15. 23 1227 3.31 8861

95 21.55 392 .9 910.1 22. 76 9.36 15.56 1211 3.52 8821* 100 22.1.8 1.1.9 . 1 988.8 23.57 9. 76 15. 88 1199 3.27 8837

110 21.. 37 567 .5 1152.3 25 . 1 3 10.61 16. 55 1183 2.86 8973

120 26.26 690 .0 1320.3 26.59 11.29 17. 05 1179 2.53 9201. 130 28. 16 816.8 11.92 . 6 27.97 11.81. 17.1*3 1182 2.27 91.93

11.0 30.05 91.6 . 8 1663 . 1 29.2 7 12.23 17.68 1191 2.06 9815

150 31. 91. 1078.8 181.5.1. 30.1.9 12 .1*7 17.80 1205 1.88 10169

160 33.83 1211 .5 2023.1* 31 .61* 12.53 17.79 1221 1.73 10550

170 35. 70 131.3 .9 2200 . 7 32. 71 12 .60 17.69 121.0 1.60 1091*1. leo 37. 56 11.75.2 2376. 7 33.72 12.53 17. 52 1260 1 .1.9 1 1360 190 39. 1*1 1601. . 9 2550. 8 31*. 66 12 .1.1 17. 31 1281 1.1*0 11776

200 1*1. 25 17 32 . 6 2722 .6 35.51* 12.26 17.07 1303 1.31 12195

220 1*1*. 89 1931.5 3059. 0 37.15 11. 9J 16. 59 131.6 1.17 130 31. 2<»0 1*8. 50 2 2 22 .0 3386. 0 38 .57 11.60 16. 11. 1389 1.06 13875

260 52. 06 21.55 .

1

3701*.

6

39.81* 11.32 15. 76 11.31 0.96 11.708 280 55.59 2682 .1 1*0 16 . 3 1*1. 00 11.09 15. 1.5 11.71 0.88 15538

300 59. 10 2901*.

2

1*322. 5 U2.06 10 .92 15.20 1509 0.82 16350

» TWO PHASE BOUNDARY

80
T46LE \Jl. THERMrOYNArllC PROPERTIES OF PARflHYDRQGEN

260 34^ ISOBflR TEMPfRfl- MOLAR INrER^;flL TURE i/CLUHE ENERGY

K Cm3/g J/C

• 23.756 ll.i*'* -283 .2 21 11.1*5 -291.9

22 11. 52 -276 .1* 23 11. 5S -270.7

Zi* 11.61* -261*.

f

25 11.71 -258.8

26 11. 78 -252 . f 27 11.81* -21,6.2

28 11.92 -239.7

29 11.99 -2 ^3.

C

30 12.06 -226.1

31 12.11* -219.1

32 12.22 -212.0

33 12. 30 -2Qit.7

Ztt 12. 38 -197 .3 35 12.1*7 -lS9.f

36 12.56 -192.2

37 12.61* -171*. 1* 33 12. 73 -1 66 .6 39 12.83 -158.6

"0 12. 92 -1 50 .6

1*2 13.11 -131*.

2

1*1* 13.31 -117.5

'6 13.52 -1 00 .9

i*S 13.71* -83.5

50 13.97 -65.8

55 11*. 56 -20 .1* 60 15.20 26.6

65 15. 88 71*. 3 70 16.59 122.9

75 17. 31* 1 72 .6

80 18.12 223.3

85 18.93 275.3

90 19.75 328.7

95 20.58 38J.1* 100 21. 1*3 "439 .7 lia 23.15 558.1

120 21*. 89 680 .8 130 26.62 8j8.C

li»0 28. 36 938 .1. 150 30.11 1070.7

160 31.83 12C3.7

170 33.56 1336.5

180 35. 27 11*68.2 190 36. 98 1598 .

:< 200 38. 63 1726.1. 220 1*2. 01* 1976 .2

2<»0 1*5.37 2217.5

260 1*8.66 21*51 .1. 280 51.92 2679.1

300 55.16 2901.°

• TWO PHASE BOUNDARY

ENTHALPY ENTROPY SPECIFIC

J/G J/G-K J/G11*. 2 5 .1.7 5 . 51

15. 9 5.55 5 .51* 23.0 5.88 5.67

30.3 6.20 5.78

37 . 3 6.52 5 . 89

1.5.6 6.81* 5.99

53.6 7.15 6.08

61 . 8 7. 1*6 6.17

70.1 7.77 6.25

78.7 8.07 6.33

87.5 8.37 6. 1*0

96. 5 8. 66 6.1*7 105.7 8.95 6.53

115.1 9.21* 6.59

121*. 6 g.53 6.61*

131*. 1* q.ai 6.69

11*1.. 3 10. 09 6 . 71* 151*. 3 10 . 36 6.78

161*. 5 10.61* 6.32

171.. 9 10 .90 6.85

135.3 11.17 6.37

206.7 11,69 6.92

228.7 12.20 6.97

250.7 12.69 7.06

273.7 13.18 7.12

297.3 13.66 7.13

3 5 8. 2 11*. 82 7 . 31

1*21 . 7 15 . 93 7 .1.2 1*87. 1 16.98 7.56

551*. 1. 17.97 7 .75 623.5 18.93 8.00

6 91*. 5 19.81* 8. 3D 767 .1* 20 . 73 8 . 61. 31*2 . 1 21 . 58 9. 01 913.6 22.1*1 9.1*0 996.9 23.21 9.79

1150 . 1 21*. 76 10 . 65 1327.9 26.22 11.33

1503.2 27.60 11.87

1675.8 28.90 12.26

1353.2 30.13 12.5]

2031.3 31.28 12.61

2209.0 32.36 12.62

2385.3 33.36 12.56

2559. 3 31*. 31 12 .i*i* 2732.0 35.19 12.29

3069.3 36.30 11.96

3397.1 58.22 11.63

3716.6 39.50 11.35

1.0 29. 0 1*0 .66 11 . 12

1*336. 1 1*1. 72 10 .95

K

ldP\

HEA T \/ELOCITY [dp]

CP OF SOUND

M/S BAR/K 3AR-Cm3

6. 91 1773 11.37 250 71* 6.97 1772 11.37 21*967 7.20 1766 11.37 21*523

7.1*3 1759 11.35 21*076 7.65 1752 11.32 23628

7.87 171.5 11.28 23179

8.08 17 33 11.23 2 27 29 8.29 1730 11.16 22281

3. 1*9 1722 11.09 21836

i. 69 1711* 11.02 21391* 3.89 1706 10.93 20956

9.08 1698 10.31* 20525

9.27 1689 10.71* 20101

9.1*6 1681 10.61* 1 9686

9. 61* 1672 10.52 19281

9. 80 1661. 10.39 18906

9 . 96 16 55 1 C . 2 6 1 3 5 35 10.12 161*7 10.13 18162

10. 29 1638 10.00 17796

10. 1.2 1629 9.86 171*1*6 10.56 1621 9.72 1 70 95

10.85 1601 9.1*3 16350

11. 12 1581* 9.11* 1571.1

11 . 1.0 1565 8.35 15172

11 . 65 151*7 8.55 11.627

11. 90 1529 8.26 11.115

12 . 1.

3

1 1. 8 7 7.55 1 3 0 0 C 12. 87 11*1*3 6.89 120 78 13. 27 11*11 6.28 11338

13.65 1375 5.73 1071*2

11.. 01 l?i*i* 5.21* 10311*

11*. 39 1316 i*.81 9977

11*. 76 1292 i*.i*3 9760

15. 13 1271 i*.10 9622

15. 1*3 1251. 3.80 951.9 15. 82 121*0 3.51* 9523

16.53 12^0 3.09 95 95 17.05 1213 2.71* 9782

17.1.3 1215 2.1.6 1001.3 17.69 1221 2.23 10329

17. 82 1232 2.01. 1 0655

17. 82 121.7 1.88 11018

17.73 1265 1.71* 11395

17.56 1281. 1.62 11796

17.35 1301. 1.52 12198

17. 12 1325 1.1.3 12610

16. 63 1367 1.27 1 31.1.0 16. 18 11*09 1.15 11*266

15. 80 11*50 l.fli. 15098

15. 1*9 11*89 0.96 15920

15. 21* 1526 0.89 16739

81
TABLE y/I. THEPMODYMAMIC PROPtRTIFS OF P ARAH Y 0 R3& E N

280 BAR ISOBAR

TEMPERA- MOLAR INTERKAL

TURE VOLJME ENERGY

K cm3/g J/G

• 21.205 11.36 -280.5

22 ll.i«l -2 76.?

23 11. '7 -270 .6

2<t 11. 53 -261..

9

25 11.59 -259.0

26 11.66 -252.9

27 11. 72 -21*6.6 28 11. 79 -2 1(0.2 29 11.86 -233.6

30 11.93 -226.9

31 12.00 -220.1

32 12.08 -213.1

33 12.15 -2C6.C

Zl* 12.23 -198 .7 35 12.31 -191.1.

36 12.39 -183.9

37 12.<»7 -176.^

38 12.56 -168.6

39 12.65 -160.8

1*0 12.73 -152.

Q

1*2 12.91 -1J6.8

1*1* 13.10 -120. i* l*b 13. 3C

t*& 13. 50 -87 .1 50 13.71 -69.8

55 1<«.25 -25 .1 60 li».8<* 21.1

65 15.i«6 68 .1 70 16.12 116.1

75 16.80 165.3

80 17.51 215.6

85 18.25 267.2

90 19. 00 320 .3 95 19. 76 3 71..

9

100 20. 51* 1. 31 .1 110 22. 12 51.9.5 120 23. 71 6 72 .1. 130 25.32 799.8

I'.O 26. 92 9 :*0 .5 150 28.52 10 63.1

160 30.13 1196.^

170 31.72 1339.6

180 33. 32 li.ei.6 190 31.. 90 1592 . : 200 36.1.8 1720 .6 220 39. 6C 1971.1

21*0 1.2.69 2213.?

260 1.5. 75 21.1.7.

B

2 80 1.8.78 26 76.3

300 51.78 2899.8

TWO PHASE BOUNDARY

ENTHALPY ENTPOPY SPECIFIC

J/G J/G-K J/G37.7 5.50 5.55 ^3.3 5.76 5.65

50.5 6.08 5.76

5 8 . 0 6.1.0 5. 87 65.7 6.71 5.97

73.5 7.0? 6.07

81.6 7.33 6.16

89.9 7.63 6.21.

98.1. 7.93 6.32

107.1 8.22 6.39

116.0 8.51 6.1.6 125.0 8.80 6.53

131.. 3 9.08 6.59

11.3 . 7 9. 36 6.61. 153. 3 9.61. 6 .70 163.1 9.92 6.75

173.0 10.19 6.79

183. 1 10.1.6 6.83

193.3 10.72 6.8o

203.7 10.99 6.89

221.. 8 11 .50 6 .91. 21.6.1. 12. 00 6 . 99 268.1 12.1.9 7.08

290 .8 12.97 7.11.

311.. 0 13.1.1. 7.21

371.. 0 11.. 59 7 . 31. 1.36. 6 15.63 7.1.5 501.1 16.71 7.60

567.5 17.69 7.79

635. 7 18.63 8 .01.

706 . 0 19 . 51. 8. 33 778. 1 20.1.2 8.67

85?. 3 21.26 9.01. 928. 3 22.08 9.1.3 1006.2 22.88 9.83

11=) 3. 9 21..1.3 10.68

1336.1. ?5.a9 11.36

1508.7 27.27 11.90

1681.. 3 28.57 12.29

1861.8- 29.80 12.53

201.0.0 30.95 12.61. 2217.8 32.02 12.65

2391.. 5 33. 03 12.59

2569. 3 33.98 12.1.7 271.1.9 3*.. 86 12.32

3080 . 0 36.1.7 11 .98

31.08.6 37.90 11 .66 3728.8 39.19 11.38

1.01.2.1 1.0.35 11.16

1.31.9.6 1.1.1.1 10.98

HFAT VELOCITY (ff) dp]

CP OF SOUND V I M/S QA</K 3AR-C'm3/

6.95. 95 IPQ2P 02 11.51 25952

7.15 1798 11.51 25607

7.35 17 92 11.50 25171

7.57 1785 1 1

. 1.7 21.732

7. 78 1779 1 1 .1.3 21.291

7. 99 1772 11.39 2 381.9

8. 19 1765 11.33 231.08

8. 39 1757 11.27 22968

S . 59 171.9 11.19 22530

8.7 8 171.2 11.11 22096

8. 97 1731. 11.02 21666

9.15 1726 10.93 2121.3

9. 31. 1718 10.83 20326

9. 51 1709 10.73 201.18 9.63 1701 10.62 20 0 19

9. 85 1693 10.51 19631

9. 99 1685 IP. 36 19293

10. 11. 1677 1C.23 1 8957 10.28 1669 10.10 1358?

IJ. 1.? 1661 9.97 1321.5

10.68 lfci.5 9.6Q 1 75 72 10.96 1626 9.1.1 16858

11. 21+ 1608 9.13 16271. U. 1.9 1591 8. 81. 15738

11.72 1571. 8.56 15222

12. 25 1532 7.86 11*0 60 12. 69 11.91. 7.21 13110

13. 09 11.58 6.61 1?3'*5

13. 1.7 11.21. 6.05 11722

13.85 1391 5.55 11231

11.. 21. 1362 5.11 1 0 8 1.9 11.. 61. 1336 1..72 10577

15.02 1311. 1..37 10396

15. 1.0 1295 1*. 07 10285

15. 75 1280 3.79 1 0231 16.50 1257 3.33 10?38

17.01. 121.8 2.95 1037^

17. 1.3 121.7 2.65 1 0608

17. 70 1251 2.1.1 1 0868

17. 82 1261 2.20 11172

17. 81. 1271. 2.0 3 1 11*98 17. 75 1290 1.88 1 1861 17.59 1308 1.75 12235

17. 39 1327 1.61. 126 36

17. 16 131.7 1.5'. 130 31* 16. 67 1388 1.37 138 53 16.22 11.29 1.21. 11.671* 15. 81. 11.68 1.13 151*91 15.52 1506 1.03 16309

15.27 151.3 0.96 17120

82
TABLE THERIirOYNftMIC PROPERTIES OF P A^AHY Pi^OGEN

300 04R ISOOAR

TEMPERA- MOLAR INTF^MAL thTHALPV FNTPOPY

TURE VOLUME FNERCY

K Cm3/& J/C J/G J/G-K

11.29 -277 .

P

61. 0 5.5 3 22 11.31 -2 75 .9 63.5 5.64

23 11.37 -270.4 70.6 5.96

24 11.43 -2 64 .

H

78.0 6.28

25 11 . 49 -25 8.9 <5 . 6 6.59

26 11.55 -253 .C 93.4 6.89

27 11.61 -246.

«

101.5 7.20

28 11.67 -2 40 . 5 109.7 7.50

29 11. 74 -234 .

1

113.1 7.79

30 11.81 -227 . 5 126. 7 8.08

31 11.87 -2 20 .8 135.4 8.37

32 11.94 -213.9 14 4.4 8.65

33 12. C2 -207.

C

153.5 8.9 3 34 12.09 -199.8 162. 9 9.21

35 12. 16 -192 .6 172.3 9 . 49

36 12.24 -185.3 182. 0 9.76

37 12. 32 -1 77 .

8

191.8 10.03

38 12. 40 -170.2 201.7 10.29

39 12. 4B -1 62 .5 211.9 10.56

40 12. 56 -154.

P

222.1 10.82

42 12.73 -139 .

0

242.9 11 . 32 44 12. 91 - 1 22 . 9 2 54.3 11.82

46 13. C9 - 1 J 7 . b 2 35.6 12.29

48 13.28 -90.2 308.1 12. 77

5Q 13.47 -73.1 331.0 13.24

55 13. 98 -29.2 390 .2 14. 37 60 14. 52 16.3 452. 0 15. 44

65 15.10 62 . 7 515.6 16.46

70 15.73 1 10 . 2 581.3 17.43

75 16.33 153. « 648. 3 18. 37

80 16. 99 208 .7 718.3 19.26

35 17. 66 260 . r 7 3 9.3 70 . 13

90 18. 35 312 .° 863.4 20.97

95 19. 06 367 . 3 938.9 21 . 79

100 19. 77 4 23.3 10 16. 5 22.5 8 lie 21. 23 5 41 . 7 1178.6 24. 13 120 22. 71 6 64 . ? 1345. 9 25. 58 130 24. 19 792 .3 1518.0 26.96

140 25.63 923.1 1693.6 28.26

150 27. 17 1056.0 1871.1 29 . 49

160 28. 66 1189.7 2049.4 10 . 64

170 30.14 1323.1 2227.4 31 . 72 180 31.62 14 55 .4 2404.2 32. 73 190 33. 10 1506.2 2579. 3 33.67

200 34.57 1715.1 2752 . 3 34.56

220 37. 49 19 66 .3 3091.0 J6 . 1 7 2 40 4lj. 37 22 ]9.

1

3420. 3 37. 61 260 43. 23 2444.4 3741 . ? 38.89

28C 46. 06 2 o 73 . 6 4355.2 40.3 6 300 48. 86 2897.

7

4353.5 41 . 12

TWO PHASE 33UNDARY

SPECIFIC HEA T VELOCITY Ut u

CV CP OF SOUND ' V J/G- K m/s QAR/K dAR-CM-S 5.59 6.98 1831 11.65 26818

5.65 7. 06 1829 11.65 26668

5.75 7. 23 1823 11.64 26241

5 .85 7.50 1817 11.62 25811

5.96 7.71 1811 11.59 2 5 3 79 6.06 7. 91 1805 11.54 24945

6. 15 3. 11 1798 11.49 245 11 6.23 8.30 1791 11.43 240 77

6 . ?2 8.50 1783 11.36 23644

6. 39 8.68 1776 11.28 23213

6.46 8.87 1768 11.20 22786

6.53 9. 05 1761 11.11 22364

6.59 9. 22 1753 11.02 21947

6 .65 9.40 1745 10.92 215 37 6.73 9.57 1737 10.82 21135

6. 75 9. 73 1729 10.71 20742

6 . 79 9.89 1721 10.60 20359

6.84 10.05 1714 10.48 19988

6.87 13. 16 1706 10.33 1 9686 6.93 10. 29 1699 10.20 19330 6.95 13.55 1684 9.94 18697

7.01 10.83 1668 9.67 180 50

7. 13 11. 10 1648 9. 39 17371

7.17 11.35 1631 9.11 168 08 7.23 11.57 1615 8.8 3 16302

7.37 12. 09 1575 8.15 15115

7.48 12.52 1538 7.50 14141 7.63 12.93 1503 6.91 1 3326 7.82 13. 31 1470 6.35 12695

8.07 13. 71 1436 5.85 12142

8 . 37 14. 10 1406 5.40 11745

8.71 14. 51 1379 5.00 11413

9.03 14. 92 13 55 4.64 11183

9.47 15. 31 1336 4.32 11034

9 . 86 15.69 1319 4.04 10 9 47

10 .71 16.46 12 94 3.55 10898

11.39 17. 01 1282 3.16 13998

11.93 17.42 1278 2.84 11188

12 .31 17.69 1281 2.58 11426

12.55 17. 83 1289 2.36 11703

12 .65 17.84 1301 2.18 1 20 09 12.58 17. 77 1315 2.02 123 37 12 .61 17.62 1332 1.88 12700

12.50 17. 42 1350 1.76 130 71 12 .35 17. 19 1369 1.65 13472

12.01 16.71 1409 1.47 14271

11 .69 16. 26 1448 1.33 15079

11 15. 87 1487 1.21 15888

11.19 15. 56 1524 1.11 16703

11.01 15. 30 1560 1.02 17509

83
TABLE VI. THE^MrOVNAMIC PROPERTIES OF P APAH Y C ^OGEN

320 BA^ ISOBAR ldP\ (if) TEMPERA- MOLAR INTERNAL ENTHALPY E NT F 0 DY SPECIFIC HEA T VELOCITY \dp}j

TURE VOLUME ENERGY CV CP OF SOUND

K Cm3/g J/G J/G J/G-K J/G- K M/S 31R-Cf3/

22.079 11.22 -2 75 .r SU.l 5.56 5.63 7.02 1858 11.79 27673

23 11.27 -270.0 9J . 7 5.8 5 5 . 73 7. 22 18 54 11.78 27289

21* 11.33 - 2 . 5 98.0 6.16 5.85 7.43 1848 11.77 26869

25 11.38 -258 . 7 105.6 6.47 5 .95 7. 64 1842 11.74 26445

26 11

.

-2 52 .9 113.3 6.77 6.05 7.83 1 8 36 11.6"' 2 60 19

27 11. "50 -21.6. e 121.2 7.07 6 . 14 8.03 1833 11.65 25592

28 11. 56 -2 '.0 . 7 129. 14 7.37 6.23 8.22 1823 11.59 25164

29 11.63 -23'* .3 137.7 7.66 6. 31 8.41 1816 11.52 24736

30 11.89 -227.9 l'»6.2 7. 95 6 . 38 8.59 1809 11.45 24310

31 11.75 -221 .

3

154. 9 8.2 3 6.46 8.77 1802 11.37 2 38 8 7 32 11 . 82 -21'« .5 163.7 8.52 6.52 8.95 1794 11.29 23466

33 11. 89 -20 7.7 172.8 8.79 6.59 9. 12 1787 11.20 23050

3<» 11.96 -200 .7 182. 0 9.0 7 6 . 64 9.29 1779 11.10 22640

35 12. 03 -193.6 191.4 9.34 6.73 9.45 1771 11.00 22236

36 12.10 -186 . "4 20 J . 9 9.61 6 . 75 9.62 1764 10.90 2184C

37 12. 18 -179.0 210.6 9.8 7 6.30 9. 78 1756 10.79 21452

38 12. 25 -171.6 220 .4 10. 14 6 . 84 9.93 1749 10.68 21074

39 12. 33 -16'«.0 230 .4 10.40 6 . 87 10.07 1741 10.57 20707

<*0 12.<»1 -156. 240 .6 10.65 6.91 13.18 1734 10.42 20411

<*2 12.57 -1 1.0 .9 261.2 11.16 6 .96 IJ. 43 1720 10.16 19739

12. 73 -125.1 282 . 3 11.65 7. 02 13.67 1706 9.91 19153

<»6 12. 9a -109. 30 3.4 12.12 7.11 10. 95 1689 9.64 18529

(»8 13.08 -92 .9 325 . 5 12.59 7.18 11. 21 1671 9.37 17888

50 13. 26 -76.1 348.2 13.05 7.25 11.44 1654 9.10 17341

55 13.73 -32.8 4 06.7 14 . 16 7.40 11.95 1617 8.42 16179

60 11*. Zt* 12.1 467. => 15.23 7.51 12. 38 1579 7.78 15141

65 14. 78 57.9 5 30.7 16.2 3 7.66 12.78 1545 7.19 14310

70 15. 31* 104.B 595.6 17.20 7.86 13. 19 1511 6.64 1 36 09

75 15. 92 1 53 .0 662. 5 18.12 8.11 13.57 1480 6.13 13084

80 16. 52 202.6 731.4 19. 01 8.43 13. 98 1448 5.67 12612

85 17. 15 2 53.6 802.3 19.87 8 . 74 14. 40 1423 5.26 12252

90 17. 79 30 6.1 875. 3 20 .70 9.11 14. 82 1395 4.90 11977

95 18. 1*1* 360 .t. 950 .5 21.51 9.53 15. 23 1374 4.57 1 1789

100 19. 11 <»16.? 1027.6 22. 31 9.93 15. 62 1357 4.28 11665

110 2 0 . '»6 5 31, , 5 11 89.

1

23.84 10.75 16.41 13 30 3.77 115 80 120 21.83 657.5 1356. 1 25. 30 11.42 1q. 99 1315 3.37 11626

130 23.21 785 .2 1528.1 26.67 11 .96 17. 42 1309 3.03 11770

1<»0 ZU. 60 916.3 1703.6 27.97 12 .34 17.69 1311 2.75 11996

150 25.99 10'«9.'» 1881.1 29.2 0 12 .5^ 17.82 1317 2.52 12249

160 27. 38 1183.3 2059.4 30.35 12.69 17. 85 1328 2.32 12533

170 28. 77 1316.9 2237.4 31.43 12.73 17.73 1341 2.15 12843

180 3C. 15 l'«i«9 .6 2414. 5 32.44 12.64 17. 64 1356 2.01 1 31 71 190 31.53 1580.7 2589. 7 33. 39 12.52 17.44 1373 1.88 13535

200 32.91 1709 .e 2762.9 34.28 12.37 17. 22 1391 1.76 13912

220 35. bi* 1961 .7 3102.3 35.89 12 . 34 16. 74 1429 1.57 14691

21*3 38. 35 2205.2 3432. 3 37. 33 11.72 16. 29 1468 1.42 15497

260 kl. 02 2'»'«1 . 2 3754. 0 38.62 11 .44 15.91 1505 1.29 16301

280 '3. 68 2671.

C

40 68. 6 39.78 11 . 22 15.59 1542 1.18 17101

300 '.6. 30 2895 .8 4377. 5 40 .85 11.34 15. 34 1577 1.09 17903

THO phase 30UN0ARY

84
TABLE <Jl. THERMCCYNAMIC PROPERTIES OF PAR* HY D^^OGEN

JifC 3W ISOBAP

TEMPERA- MOLAR INTERNAL rNTHALPY ENTROPY

TURE l/OLJME ENERGY

K Cm3/& J/G J/G J/G-K

22 .501. 11.1b -272.1 107.2 5.59

23 11.18 -2 69 .5 IIJ . 7 5 . 71. 2^ 11.2'* -2 .0 IIH. 0 6.05

25 11.29 - 2 5 8 . 125.'. 6.36

2b 11.35 -2 52 .6 13 3.1 6.66

27 11. -21.6. 7 I'.l. 0 6.96

28 11. '6 -21.0 . e 11.9. 0 7. 25 29 11.52 -2'?'..'. 157.3 7.51. 3Q 11. 5? -223 .

L

165.7 7. 92

31 11. ui* -221 .

e

171..

3

8.11

32 11. 71 -214.9 183. 1 ft. 38 33 11. 77 -208.2 192. d 8.66

3i» 11. "^i* -201.3 201.1 8.93

35 11.90 - 19". . 3 210.'. 9.20

36 11.97 -1 67 .2 219.3 9.1.7 37 12.01* -180.

C

229.1* 9.73

3S 12. 11 -172 . 7 239.2 9. 99

39 12. 19 -ie.5.7 '".g. 1 10. 25

<«0 12. 2b -157.7 259. 1 10.50

1*2 12.1.1 -1 '2 .5 279. 5 11.00

i*tt 12.57 -126.9 300. < 11.1.8

i*b 12.73 -1 11 . C 321.3 11 .95

1*9 12. 89 -95.? 31.3. 2 12.1.1 50 13.06 -78.6 3 65 .6 12.87

55 13.51 -35."^ 1.23.5 13.97

60 13. 99 8 .1* 1.83. 9 15. 0 3 65 11.. '.9 = 3.6 51.6. 2 16.02

70 15. 01 130.1 610.5 16.98

75 15. 5b 11.7 .9 676. 8 17.89

80 16.12 197 .1 71.5. 1 18.77

85 16.70 21.7 . f 815.1. 19.62

90 17. 29 3 00 . 1 887.9 20 .'.5 95 17. 90 S5i*.l 962.6 21.26

100 18.52 0 9 . f 10 39.1. 22.05

110 19. 78 577 .o 12 0 0.3 23.58

120 21.36 6 50 .9 1367.0 25. 0 3 130 22.35 778.7 1538.8 26.1.1

litC 23. 65 910.

C

1711..

2

27.70

150 21.. 95 lO'.S. 3 1891 .

7

28.93

160 26. 26 1177 .i. 2070.0 30.08

170 27. 55 1311.7 22'*'^.

1

31.16

180 28. 85 I'.'.'. . 1 21.25.

1

32 . 17 190 30.15 15 75 .i. 2600.6 33. 12 200 3 1 . 1.5 1 7 0 1. . 9 2771., 0 3<. , 0 1 22G 3k. 02 1957 .1* 3113.9 35.6 3 24Q 3b. 56 22:1.5 31.1.1.. b 37.07

260 39. 08 2'.38.1 37o6.

9

38.36

2 80 1.1 .SS 2661^ • 5 1.087. ? 39. 53 300 1.1.. 05 2 3 9'..L 1.391. 7 1.0 . 63 TWO PHASE QJUNDARY

SPECIFIC HEAT (/ELOCITV \<Jt/v CM CD 0" SOUND

J/G- K M/S BAR/K 3AR-Cm3

5 .66 7.06 1885 11.93 28519

5.72 7.16 1883 11.92 28317

5.83 '.37 1878 11.91 2 7906

5 . 91. 7.57 18 73 11.88 ? 71. 9

1

6.03 7.77 1867 11. 8«. 2 70 73 6.13 7. 96 1861 11.80 26652

6.22 8. 15 1851. 11.71. 26231

6. 30 9. 314 181.8 11.68 25809

6.3 9 9.51 181.1 11.61 25338

6 .1.5 8.69 1831. 11.53 21.968 6.5? 9.8b 1827 11. 1.5 21.550 6.59 9.03 1819 11.37 21.136

6.61. 9.20 1812 11.27 2 3726 6.70 9.36 1805 11.18 2 332? 6.75 9.52 1797 11.08 22921. 6.90 9. 67 1790 10.98 ??5 33 6.95 9.82 1782 10.87 22150

6.99 9.96 1775 10.76 21777

6 .91 10.10 1768 10.65 211.11.

6.97 10.32 1755 10.38 20807

7.0 3 10.57 171.0 10.13 20153

7. 13 10. 83 1726 9.37 19611 7.20 11.08 1710 9.61 190 09 7.27 11.32 1693 9.35 1 81. 09

7 .1.2 11.82 1656 8.69 17207

7.5(. 12. 25 1620 8.05 16151. 7.69 12.66 1585 7.1.6 15272

7.99 13. 06 1552 6.91 11.556

8.11* 13.1.5 1521 6.1.0 1 1.0 05

8 .I.I. 13. 86 11.90 5.91. 13520

8 .79 11.. 29 1'.61 5.52 13101

9. 15 11.. 72 1«.35 5.15 12300

9.51. 15. 15 l'»13 1..8I 12561. 9.93 15.55 1 3 91. 1. . 5 1 1 21. 0 7 10.78 16. 36 1361. 3.99 12261

11 .1.5 16. 96 131.8 3.56 12263

11 . 98 17.1.0 131.0 3.21 12372

12.37 17. 69 131.0 2.92 12553

12.60 17.83 131.5 2.67 12796

12. 72 17.85 1351. 2.1.7 13067

12.73 17.78 1366 2.29 1 3358

12 .66 17. 65 1380 2.13 13671

12 .55 17.1.6 1396 2.00 11.0 02 12 .1.0 17. 21. 11.13 1.88 11.367 12.07 16. 77 11.50 1.67 15131. 11 .71* 16. 32 1<.88 1.51 15920

11 .1.7 15.91. 1521. 1.37 16716

11 .25 15. 62 1560 1.26 17512

11.0' 15. 37 1591. 1.16 1 9301

85
TABLE ^'I. THtRMCnVNAMlC PPOPERTIHS OF Pfli^flHYPROCFN

360 a^•< ISOFAI' lMPFRA- MOL AR I MT r L £ NT HA L PY E N T F 0 " Y SF EC I F ic HEAT J r 1 or T T Y TUI^E »/OLlJME ENFRG

Y

0 P OF SOUND

J/G J/G J/ G - K J/G- K M/S 3 fi ^/ K y 4 p - c 11.09 -269

.

13 0,1 5.6? 5.70 7,09 1912 12.06 ? 93 56

2 3 11.10 - 26 8 .9 13 1.6 5.61. 5.70 7.11 1912 1 2 • 0 6 ? 3 ? 6

2<» 11.15 -2 €3 . S 13 7.8 5.95 5.82 7.32 19 0 7 1 ? • 0 5 2 9 2^ 25 11.20 - 25 8 . C 1 W 5 . 2 6.25 5.92 7.51 1902 1 ? • 0 2 2 8 51/

26 11. 25 -2 52 .3 152.8 6.55 6.02 7.71 1896 11.99 2^107

27 11.31 -21*6.1. 1 6 0 . -J 6 . 8i« 6.12 7. 90 1890 11. 9U 2769'* 28 11.36 - 2 1.0 * 1* 16 8.6 7.13 6.21 8 . C 8 I 8 8^4 11.89 2 72 79 29 1 1 . '2 _ 2 31, , 3 176.8 7 ,

i, 2 6.29 8.27 18 78 11.03 2 68 63

30 1 1 . U 8 -228.1 185.2 7.73 6 • ?7 8 . 1. 1. 18 72 11.76 2 6^ ^ 7

31 1 1 . 5 ^4 -2 21.7 193.7 7.98 6 ^5 8.61 1B65 11.69 260 31 32 11.60 -2 15.1 2 0 ? . < 8.26 6.52 8.78 1658 11.61 25617

33 11.66 -208.

211.2 8.53 6.58 8.95 1851 11.53 2 52 C 6

3't 11.72 -201.7 2 2 U . 3 8.80 9.11 1 8 ^4*4 1 1 ^ 2^797

35 11.79 - 1 9 1* •

'^ 2 9 . 5 9 . C 7 6.70 9 . 27 16 37 11 7 c; 1 1 . o 7 c 4 J ^ . J 36 11. 85 -187.8 2 38.8 9. 33 6.75 9. i»2 1829 11.25 23991. 37 11. 92 -110. 1 2'»8. 3 9.59 6 . 80 9.57 1822 11.15 23601

38 11.99 - 1 53.5 2 57.9 9.85 6.85 9.72 1815 11.05 2 3215

39 12. 05 - 1 66 . ? 267.7 10.10 6.89 9. 86 18 08 10.91* 2 2837

<«J 12.12 -15 8.8 2 7 7.7 10.35 6.92 9.99 18 01 10.83 2 2*4 68

<»2 12.27 - 1 !,3 . J 2 9 7.9 10.85 6.98 10.25 17 87 10.61 2 1760

1 2 . << 2 - 1 2 8 . 318.6 11. 3 3 7.05 1 0 .

i* 6 1 7 7*4 1 0 • 3 1* ^ 1 £ U X 12.57 -113.2 3 39.3 11.79 7.1'. 10. 73 t7 U

n cV 7nf u

1^8 12.73 - 97 . i! 3 61.0 12.25 7.22 10. 96 1 7 1*6 9. 8I4 2 0 0 7 0 50 12 . 89 - 8 J , 8 3 8 3.1 12.70 7.29 11.20 1730 9.5 8 1 914 8 3 55 13.51 -38.7 0 . 1. 13.79 7 . ''4 11.71 1692 8.93 181 99

63 13. 76 5 . 1 5 00 .3 7.57 12. 13 1659 8.30 17163

65 11*. 22 562. 0 15.82 7 .72 12.5i» 1623 7.71 16225

70 li*. 72 95 .9 625. 7 16. 77 7.92 12. 95 1591 7.16 151478

75 15.23 li»3 . 3 691 . 5 17.68 8.17 13. 36 1559 6.66 114866

80 15.75 192.2 759.3 18.55 8 .147 13. 76 1529 6.19 11.388 85 16. 29 2 1*2 .5 829. 1 19.I4O 8. 31 114. 20 11*99 5.77 13950

90 16. 85 291. . e 901.2 20.22 9.18 114.62 II4714 5.39 1 36I48 95 17.1.2 31*8 .1* 975. I4 21.02 9.57 15. 07 II4I49 5.05 I3314I 100 1 7. 99 1*03.9 1051. 7 21.81 9.96 I5.I48 11.30 1..714 13155

113 19. 18 5 21.8 1212. 2 23. 3 3 10.81 16. 32 1396 I4.2O 129145 120 20. 38 bl4l4 . 8 1378.14 21.. 78 11 .I48 16. 93 1380 3.76 12911

130 21.59 772 .7 1550.

0

?6. 15 12.01 17. 39 1371 3.39 12980

1<»C 22.81 9OI4.

1

1725.

3

27.45 12 . 14O 17.68 1369 3.09 1 31142 150 21*. Qi. 1037.5 1902.9 26.68 12.63 17. 82 1373 2.83 1 3355

160 25. 26 1171.8 2081.2 29. 83 12.714 17. 85 1381 2.61 136r5

170 26. 14S 1305.*^ 2259. 5 30.91 12.75 17.73 1391 2.1.2 13883

180 27. 71 11.38.9 21436. I4 31.92 12 . 68 17.65 II4O1* 2.26 II4I 75 190 28.93 1570 . 5 2611.9 32 . 8 7 12.57 17. 1.7 II4I9 2.11 II4I496 2 00 30.15 1 7 00 .1 2785.5 33. 76 12.142 17. 26 II435 1.99 II4829 220 32.57 1953.2 3125. 8 35. 3 8 12.09 16. 80 II471 1.77 15569

2<»a 31*. 98 2197.9 31*57. 1 36. 82 11.77 16. 35 1507 1.60 1631.9 260 37.36 21435.I 3779. 9 38 . 12 11 .149 15. 97 15143 1.1.5 17132

280 39. 71 2 6 66 . 2 I4Q95 . 8 39.29 11 .27 15. 65 1577 1.33 1 7908

300 i42. 05 2892 .2 I4I4O6. 0 140 .36 11.10 15. 39 1611 1.23 18711

TWO PHAS; BOUNDARY

86
TABLE \Jl. THE9MC DYNAMIC PROPEPTirs OF P flPfl H Y D <<OGE N

3a0 I3CBAR

TEMPERA- MOLAR INTERMAL ENTHALPY ENTPOPY

(/OLDME ENERGY

< Cm3/g J/G J/G J/G-K

23 .338 1 1 . 0 .{ -266 .

3

152. 9 5.61.

PL. X 1 • U O 25 11.11 -257.1. 161..

9

6. 15 26 11. 16 -2 ?1 . 8 172.5 6 . 1.1. 27 11.22 -21.6.

C

18J .2 6.7 3 28 11. 27 -2 1.0 . 1 188.2 7.02

29 11.33 -231..

1

196 . 3 7.31

30 11.38 -22 7.° 201. . 6 7.59

31 11. <»' -221.6 213.0 7.97

32 11.50 -215.2 221.7 6.11. 33 11.55 -208.6 230 . !* 8.1.1

11 f» 1 C 0 "7 • ^ 35 11. 68 -195.2 2 1. 8 . 5 8 .91. 36 11. 7k -1 rt"} . 3 257 .8 9.2 0 37 11. 80 -181.3 267.2 9. 1.6 39 11.87 -Ilk.} 276. 7 9.72

39 11.93 -167 .f 286.1. 9.97

12.00 -159.7 2 96.3 10.22

'2 12. -ik -11. 1..

8

316.3 10.70

12. 2'» -129 .7 336.9 11.18

'6 12. 1.2 -111.. 7 357 .3 11.61. 12.57 - 98 • ^ 3 7 8.8 1 ? in 50 12. 72 -82.7 1.00 . 8 12.51. 55 13.12 -kl. 1 1.57.6 13.63

60 13.51* 2,3 516.9 11.. 66

65 13. 99 1.6 . e 578 . 1 15. 61. 70 92 . 2 6!.1.3 16.57

75 lit. 93 139.2 706.5 17.1.7

HO 15.1.3 187.7 773.9 18.31. 85 15.93 237.8 91.3.3 19. 19

90 16. 1.5 289.6 911.. 9 20 .00 16.99 3 1.3 .

2

9 8 8 .7 20 . 6

G

100 17.53 3 98 .6 1061.. 7 21. 5 8 110 16. 61. 516.3 1221*.

5

23. 10 120 19. 77 6 ^9 .2 13 9 0 .1. 21.. 55 130 20.91 767 .1 1561 .

8

25.92

1<*0 22.06 393 .5 1737.0 27.22

150 23. 22 1032.

1

1911. .1. 28 .1+1.

160 21.. 37 1166.C 2092.

8

29. 59

170 25. 5 3 13 0 0.8 2270.8 30.67

180 26.69 11.31..

1

21.1.8.0 31 .68

190 27. 81. 15 65 .

?

2623. 6 ^2. 63 20U 2H.99 1695 .

7

2797.2 33 . 52 220 31.28 19^9.

f

3138. 0 35.15

2'*0 33. 56 2191. .1. 31.69. 7 36.5 9 260 35. Il 21.32.3 3793.2 37. 3 9 280 38.05 2 66 3 .

<5 1.109.6 39. 06 300 ur. '6 2890 .0 1.421 . 3 1.0 . 13

• TWO OHASE tBOUNCARY

SPECIFIC HEAT i/FLOCITY (ItL \iX

r 7 CP OF SOUND

J/G- K M/S eA=!/K BAR-C.--^ 5.73 7.13 1938 12.20 30185

5 .83 7. 26 1935 12.19 29921. 5.91 7 • ^ 6 19 30 12.17 2 95 26 6.01 7.65 1925 12.13 29121. 6.11 7. 81. 1919 12.09 28718

6.20 a. 02 1911. 12.01. 28310

6.29 8. 20 1907 11.98 27900

6. 37 8.37 1901 11.91 2 71,89

6.1.1. 8. 51. 1895 11.81. 270 78 6.51 8. 71 1388 11.77 26668

6.53 3.87 1881 11.69 26259

6.61. 9.03 1875 11.60 25853

6.70 9.13 1868 11.51 2 51. 5 0 6 . 76 9.31. 1861 11.1.2 25051

6 . 81 9. 1.8 1853 11.32 21.657 6.35 9.63 181.6 11.22 21.269

6 . 89 9. 76 181.0 11.12 23888

6.93 9.89 1833 11.01 23515

6.99 10. 15 1819 10.79 22791. 7.06 10. 1.0 1805 1 C.56 22111.

7. 15 10 . 63 1792 10.29 21601, 7.23 10.89 1777 10.05 20992

t • O'i 11 no 1 1 • U ^ L ( bo Q an p n c 7

1

7 .1.6 11.61 1729 9.17 19225

7.59 12.02 1695 8.55 1811.5 7.75 12.1.3 1661 7.96 17201.

7 .95 12. fli. 1627 7.1.1 16391. 8.20 13. 26 1596 6.90 15751

8 .50 13.68 1566 6.1.1. 15233

9 . 81. 11.. 10 1538 6.01 11.833 9.21 11.. 55 1510 5.62 11.1.38 9.60 11.. 97 11.97 5.27 11.175

9 . 99 15 . 1.

1

1^.65 1. . 9 5 13911

10 . 91. 16.27 1'.31 1..1.1 1 361.1. 11 .51 16.90 11.11 3.95 13561.

12.01. 17. 37 11.01 3.57 13601

12 .1.2 17.68 1397 3.25 13711. 12.66 17.83 1399 2.98 1 3909

12. 77 17.85 11.07 2.75 11.155 12.77 17.79 11.16 2.55 11.1.01 12.71 17.65 11.29 2.38 11.691. 12.59 17. 1.3 11.1.3 2.23 11.992

12.1.1. 17.27 1«.58 2.10 15317

12.11 16. 82 11.91 1.97 160 20 11 .79 16. 38 1527 1.69 16783

11.52 16. 00 1561 1.51. 17557

11.30 15. 69 1595 1.1.1 18339

11.13 15. '.3 1627 1.30 1910 7

T

'/G
TA3LE TH£Rt1Cn>NflrlC fROPFRTIFS OF P fl ^ fl H Y P "JOG N

".OO OIR ISOBAR

tempera- MOLAR INTERNAL CNTHALPy f NTPOPY

ture: \/OLJME ENERGY

K Cm3/g j/r- J/G J/G-K

23. 10. 97 -2b3 .1. 175. 5.67

10 . 98 -2 e2 .

1

177.3 5.75

25 11.03 -256.7 1 8 'f . 6 6.05

26 11.08 -251.2 192.1 6 . 3i» 2/ 11. 13 -2i«5 .5 199. 8 6.63

28 11. 18 -239.7 Z'iT .7 6.92

29 11. 24 -233.7 215.7 7.20

30 11.29 -227.6 2 2 3.9 7.^8

31 11. Si* -221 .14 232.3 7 .7S

32 ll.<»0 -215.1 2i«0.9 8.03

33 -208 .b 2it9.6 8.29

3<» 11. S>1 -202.0 258.5 8.56

3S 11.57 -195. 3 2 6 7.5 8.82

36 11.63 -183.0 276.7 9.08

37 11.69 -181.6 286. J 9. 3'» 36 11. 75 -1 7i» .f 295 . 5 9.59

39 11.82 -167.5 3 05 .1 9.81.

<«a 11.88 -1 60 . 3 31U.9 10. 0 8

<«2 12.01 -l'.5.7 3314. 7 10 .57

12. 1** -1 30 . 7 355 .1 11.01. 12.28 -115. ^ 3 75.'. 11 . 1+9

i*a 12. 1*3 -100.3 396. 8 11 .95

50 12.57 - 8 . 3 't 1 • 5 12.39

55 12.95 -'3.1 '7i« . 9 13. '.7 60 13. 35 -0 . 3 533.7 <.9 65 13. 77 '3 .6 5914 . 15.^.6 73 m. 21 88.9 657.1 16.39

75 1 . 66 135.5 721.9 17.28

80 15.13 133.7 788 .8 18 . 15 85 15.61 2 33.6 857.9 13. 99

90 16.10 285 .1 929. 1 19.80

95 16.60 3 33 .5 1002.5 20.59

100 17.11 3 93.7 10 7 8 . 1 21.37

110 18. 15 5 11.2 1237.3 22. 38 120 19.22 63'« . C 11* 0 2. 3 2<.. 32 130 20. 30 761 .9 1573.9 25.69

1<«0 21 . 39 893 17i«9. 0 26. 99 150 22.1*% 1027.1 1926.'* 28 . 22

160 Zi. 58 11 61 .7 2iai«.7 29. 37 170 2'«.67 1296.1 2282.9 30.1.5 180 25. 76 11*29.5 2'* 6 0 . u 31. '6 190 26. 86 15 ei .

I. 2635.

6

32.41

200 ? 7 Qc; C f • 1 D J 1 • t> 5 A n Q 7c n U i • 0 ?7jO \ n • 0 u 220 30.12 19'*5 .i* 313 3.3 34.92

2(»0 32.28 2191 .

:- 3'»82.5 36. 37

2 60 Zk. i*Z 2'»29.5 3806.6 37.67

280 36. 55 2 6 61 .7 <«123.6 38. 84 300 38. 65 28 88.

9

1*1*1'*.

6

39.92

TWO PHASE BDUNDARY

SPECIFIC HCAT

C7 CP J/G-K

(/ELOCITY

OF SOUND

M/S OAR/K OAR-CM^/G

76

7 9 9T00

1019

28

36

44

515364

73

76

3136

90

93

8.53

8 .87

9. 24 9.63

10.02

10.37

11 . 54 12.07

12.45

12.63

12 . 79 12.3]

12. 73 12.61

12.47

12. 14 11 .32

11 .55 11.33

11.16

7. 16 1963 12.33 310 06

7. 22 1962 12.33 30908

7. 41 1953 12.31 30519

7. 60 1953 12.27 30124

7. 73 1948 12.23 2 97 26

7. 97 1942 12.18 29325

8. 14 1936 12.13 28921

''. 31 1930 12.06 23516

3.43 1924 11.99 28110

8. 64 1918 11.92 27703

3. 80 1911 11.84 2^298

8. 96 1904 11.76 26395

9. 11 1898 11.67 26493

9. 26 1891 11.58 26095

9. 40 18 34 11.48 25701

9. 54 1877 11.38 25312

9. 68 1870 11.28 24929

9. 81 1864 11.18 24553

7.00 10 . 06 1850 10.97 2 5822 7.17 10.31 1837 10.75 23127

7.16 10.53 1822 10.52 22474

7.24 10.78 1810 10.25 22012

7.32 11.01 1795 10.01 21416

7.43 11.51 1763 9.40 20209

7.61 11.93 1730 8.78 19094

7.77 12. 33 1697 8.20 18164

7 .93 12.75 1663 7.65 17310

8.23 13.17 1631 7.14 16628

13.60

14. 02 14.45

14. 92

15. 35

16. 23

16. 87

17. 35 17.66

17. 82

17.85

17. 79 17.66

17. 49 17.23

16. 84

16. 41

16. C3 15.71

15. 45

1601 1574

1547

1520 1499

1463 1442

1430 1425 1426

1432

1441 1452 1465

1480

1512 1546

15«0 1613

1644

6.67 6.24

5.85 5.49

5.17

4.61

4.14

3.74

3.41

3.13

2.89 2.68

2.50 2.35 2.21

1.97

1.7 8 1.62

1.48 1.37

16076

15683

15301

14916

14677

14338

14218

14225

14313

14481

14694

14948

15207

15490

158C6

164 73 17214

17984

18762

19533

88
TABLE THERMrOVNflNIC PROPEPTIlS OF PflOAHYPROGEN

1*50 ISOnAK

TEIPERA- MOL AR INTE-<h AL ENT HAL PY ENTROPY

TUFE WOLUME ENERGY

K cm3/g J/C- J/G J/G-K

IC. 83 -255 .9 231.5 5. 7k

25 lots'* - 2 5(» , 6 2 3 3.1. 5.81

26 10.89 -2'.9.2 21.0 . 8 6.10

27 10. gi* -Zk3.7 21.8.;. 6 .39

28 10. 98 -2 3 3.1 256. 1 6.67

29 11. 03 -2 32 . ? 26'.. 0 6.95

30 11.08 -226.'* 273.1 7 . 22

31 11.13 -2 20 . 1* 280.'. 7.1*9 32 11. 18 -21'..

?

288.8 7.76

33 11.23 -2 J8 .0 297.'. 8.02

3if 11. 28 -201.6 3 06 .1 8.28

1 1 • O " 1 ^ • 1 •J 1 0 • ii Q /. O • T * 36 11.39 -1 88 321. . 0 8. 79

37 11. -lai.n 333.1 9.05

38 11. 50 -1 75 . 0 31.2.'. 9.29

39 11.55 -168 . 1 351.9 9.51*

i»0 11.61 -161.1 361.'. 9. 78 11.73 -l'»6.9 383.9 10.26

1*1* 11 . 85 -132 1.00. 8 10.72

11.97 -118.1 '20.7 11.16

1*6 12.10 -102.8 '.1*1 . 7 11.61

5 U 1 C • C > • fl 7 7 4 C -J • c 19 r. R 55 12.57 - + 7.2 518. ( 13. 10 60 12. 92 -5.3 576. 3 11*. 11

65 13. ?9 37.7 635 . 9 15. 06

70 13. >i8 «2 . C 697. 6 15 .97

75 It*. 08 127. 8 761.3 16. 35

80 li*. <»9 1 75 . 7 827 .2 17.70

85 li*. 91 22<*.5 895.1. 18.53

90 15. 3i» 2 75 .6 965.9 19.34

95 15. 78 328 .5 10 . 5 30 . 12

inn 1 C O "> 1 b • c c 1113.1* 30.39

110 17. 13 5 00 .1 1271.1 22.39

120 18.0 7 632 .

f

11*35 . 6 23. 32 130 19.02 7 SO . < 1606. 1 35.19

li*D 19. 97 882 . C 1780.7 26.1*3 150 2 0.93 1015.9 1957.9 37. 70

160 21. 90 1 1 50 . 7 2136 . 1 26 .8 5 170 22. 1285.'. 2311*. 3 39. 93 180 23.83 l'.19.2 21*91 . 1. 30.95

19C 21.. 79 1551.5 2667. 2 31.89

2 00 25. 76 1 6 82 . C 281. 0 . 9 32.79

220 27. 68 19 36. fi 3182.

5

31*. 1*1 2<»a 29.60 2183.5 3515.'* 35. 86 260 31.50 21.33 .1 381*0 .6 37 . 16 280 33.38 265o .6 1.158.9 38.3'* 300 35. 25 2885.2 1.1.71.6 39. '*3 TWO PK^S'^ BTUNOARY

SPECIFIC HEA T VELOCITY \dJl\i CP OF SOUND

J/G- K M/S 8AR/K 3ftR-CM3

5 . 8<* 7.25 2025 12.66 3 30 29 5.87 7.30 20 23 12.66 329 31. 5 . 93 7.1*9 2019 12.62 32559

6.03 7.67 2015 12.58 32180

6.17 7. 81. 2010 12.51. 31796

6 .26 8.01 20 01* 12.1*8 3 11.08 6.35 8. 18 1999 12. '*2 31017

6 .1*3 8. 31. 1993 12.35 30621* 6.53 3.50 1988 12.28 30230

6.57 3. 65 1982 12.21 29331.

6.6'* 8.80 1975 12.13 29'.39

b . r J 3.91. 1969 12.01* 2 9 0 1*1. 6.76 9.09 1963 11.95 28651

6.81 9. 23 1956 11.86 23260

6.86 9.36 1950 11.77 2 78 72 6.9] 9. 1.9 191*3 11.68 271.87

6 . 91* 9.61 19 37 11.53 27106

7 . 02 9. 85 1921* 11.38 26361

7.09 10.09 1911 11.17 2561.2

7 . 19 10 . 36 18 96 10.95 21*951* 7.23 10.61 1882 10.73 21*301

10.81+ 18 68 in an 1 U • ^ U

'9 7 C Q n 7.53 11.31 18 39 9.90 221*90 7.67 11.73 1811 9.32 211.31. 7. 83 12. 13 1780 8.75 201.58

8.01. 12. 53 171*9 8.20 19628

8 . 30 12. 96 1716 7.69 1 3872

8.61 13. '1 1681* 7.22 18200

8.95 13.86 1655 6. 78 17671* 9.32 U. 32 1627 6.38 17230

9.7] 11*. 75 1601* 6.01 1691*0 10.10 15.13 15 82 5.67 1661*1 10 .91* 16. 10 151.2 5.08 1611*1* 11.61 16. 80 1515 1..59 15873

12 . 11* 17. 30 1500 l*.16 15798

12.53 17. 63 11.93 3.81 15324

12 .75 17.80 11.91 3.50 15924

12. 85 17. 85 11.91. 3.21* 160 84 12 . 86 17.79 1501 3.01 16289

12.79 17. 66 1510 2.8 1 1652C

12.67 17. 1.9 1522 2.63 16785

12.52 17. 30 1535 2.1*8 17052

12 . 19 16. 87 1563 2.21 17656

11.37 15.1*6 1591. 2.00 1 8338 11.61 16. 09 1626 1.82 190 74 11.39 15.77 1657 1.67 19840

11 .22 15. 52 1687 1.51* 20592

89
TABLE Vr. THE^MCDV NflMIC PROPeRTI'IS OF P a ^fl H V n O&E N

50C BftR ISOBAR

TEMPERA- MOLA-? TURE

K 25.701

2b

27

2829

30

3132

33

3i« 35

36

37

3839

1*0

i*Z

hi* i*b i»8 5055

6065

70

75

8085

9095 100

110

120

130

i(»a 150

160

170

160 190 200

2 20

2'»0 . 260 280

300

VOLUME INTC^NALENERGY ENTHALPY

m3/g J/G J/G

IC. 7] -2'48 . 3 2 86.9

10. 72 -21.6. 8 2 89.0

10. 76 -2 1.1 . 1. 296.5

10.80 -236 . C 301.. 2 10. 85 -2 30 .

1. 312 . 0 10. 89 - 2 ' • ^ 3 2 0.0

10.9'* -218. 8 328.1

10.94 -212. P 336.1. 11.03 -206 . 7 31.1. . 9 11.08 -2 JO . 1. 35 5 .5 11.13 -191. . 1 362. 2 11.18 -1 87 . 7 371.1

11.23 -181 . 2 3 8 0 .1 11.28 -171.. 5 389.3

11. 33 -167. 8 393 .5

1 1. 38 — 11 O 1

i, • Pu 1.07.9

11 . (.S -11.7 . 2 1.27. 0 11.59 -1 33. 1 I.I.O. 6 11.71 -119 . 1 1.66 . 2 11.82 -IQi.. 2 1.86 . 8 11. gi* - 19 . 1 507.9

12.25 -1.9. 9 562.1. 12.56 -8. 9 ol9. 3 12. 90 ^3 . 678.1

13. 76 . 9 7 39 .0 13.60 122 . 0 8 01.9

13. 96 168.9 867 . 0 it*. 3'* 217. 5 931.. 3 li». 72 26 8. 1 10 01. . 0 15.11 3 20 . 6 10 76. 1 15. 51 3 75 . 1150.1. 16.31 '91 . 2 1306.9

17. li* 613 . 11.70 . 3 17. 98 7 1.0 . H 161.0 . 1 18. 8<» 3 72 . 1. 18 11.. 2 19.70 10 06. 1991 . 1

20. 56 1 1 1.1 . U 2169.2

21. 12 76. 1* 231.7. 3 22. 28 11. 10 . 1. 2521. . 5 23. li» 151.3 . L 2700.2

2'*. 01 16 ?3 . 8 2871. . 2 25. 73 1929. 3 3215. 7 27. 1.5 21 76 . 8 351.9.2 29. 16 21.17 . 7 38 75.

3

30.86 2 6 52. C 1.191.. 8 32. 51. 2881 . 8 1.508.7

ENTFOPY

J/G-K

5.8 0 5.88

6.16

6.1.1. 6.71

6. 99 7.25

7.52

7.79

8.0 3 8. 29

8.51. 8.78

a. 03 9.27

''.51

9.9 7 10 . 1.3 10.36

11.30

11.7 3 12.77

13. 76

11.. 70 15.60

16. <.7

17. 31 18.13

18.93

19.70

20.1.7

21 .96

23. 38

21.. 71. 26. 0 3 27.25

28.1.0 29. 1.8 30. ^9

31.1. '. 32. 33

33. 96

35.1.1 36 . 72 37.90

38.98

SPECIFIC HEAT

J/G-K

^.92

5 .95

6 . 16

6 . 15 6.25

6.33

6.1.1

6 . 1.9 6.56

6.65

6.70

6.76

6 . 82 6.87

6.91

6 . 95

JELCCITY

OF SOUND

M/S RA^/K aAR-CM3/&

,67

3 9 78

899

9 10.17

11.01

11.68

12.21

12.51

12.81

12 . 91

12 .92 12. 85 12.73

12.58

12 . 21* 11.93

11 .66

11 .ifS 11.28

7 . 3'. 2083 12.98 350 15

7. 39 2 0 82 12.97 31.910

7. 57 20 78 12.93 31.51.9 7. 71. 20 73 12.88 31.183

7. 91 2069 12.83 33811

8. 07 2061. 12.77 331.36

8. 22 2C59 12.70 33057

8. 3d 2053 12.63 32675

8. 53 201.8 12.56 32291

8. 67 201.2 12.1.8 3 1906

8. 81 20 36 12.1.0 31520

8. 95 2030 12.31 31131. 9. 08 2021. 12.2? 3 071.8 9. 21 2018 12.13 30361.

9. 33 2012 12.01. 2 9981

9. 1.5 20 06 11.95 29601

7.0? 9.68 1993 11.75 23852

7.11 9.91 1980 11.55 28120

7.22 10.18 1966 11.35 271.11

7 . 31 10. 1.2 1952 11.13 2673C

7.39 10. 65 1938 10.92 26080

7 .57 11.17 1906 10.37 21.621 7.72 11.57 1880 9.80 23579

7.89 11.97 1851. 9.25 2261.0 8.1a 12. 37 1821. 8.71 21801

8 . 37 12.79 1791. 8.20 21050

13.21. 13.71

1'.. 18

11.. 63

15. 06 15.99

16.71

17. 21. 17.60 17.78

17. ai. 17.79

17.67

17.50

17. 30 16. 89

16. 1.9 16. 11. 15 . 81. 15. 53

1763

1732

1703 1678

1657

1615

1586 1568

1557 1553

1551. 1559

1566

1576 1588 1613

161.1 1671

1701 1730

7.72

7.28

6.87

6.1.9

6.11. 5.53

5.01

'..57

1.. 1 8 3.85

3.57

3.32

3.10 2.91

2.71.

2.1.5 2.22 2.02

1.86

1.71

20363

197 36 19223

1 8812

1 851.8 17962

17593

171.02 17339

17387

171.93 1761.3

1781.0

1 3065 18325

18867

1 91.87 23173

2 :i912 21669

• TWO PHASE aOUNCARY

90
TkBlii \Jl. THE=!MCDYNA"IC PROPERTIES OF P ARftHY D90GEN

64-^ ISOBAK

TEMPERA- MCL A'< I N T E R h A L ENTHALPY ENTFOPY

TURE (/OLUHE ENEi^GV

K Cm3/& J/G J/G J/G-K

Zb.bU'r, 10.58 -2 'J .6 3i.l.6 5.85

27 10. bO -238.7 31.;.. 2 5.95

2S 10.6'. -2 33 351.8 6.23

29 10.68 -2?7 .9 359. o 6.50

3C 10.72 -222.3 367.5 6.77

31 10.77 -216.6 37'i.5 7.03

32 10.81 -210.7 383.7 7.29

33 10 . 85 -20'. . n 392.1 7.55

3(» 1 0. 90 -1 9H .

7

itOD .6 7.80

35 10

.

-192 .5 1. 09 . 2 8.05

36 10. 99 -186.3 1. 1 8 . 0 6.30

37 11.03 -179 .9 1.26.9 8.51. 36 11. 08 -173.". 1.35. 9 8.78

39 11.13 -166.9 I.I.5. 0 9.02

(»0 11.17 -160 . 2 i+Si.. 3 9. 26

<*2 11. 27 -l'.6.7 1.73. 1 9.72

11. 37 -1 32.0 1.92.1. 10. 16 46 11. '.7 -119 .2 511.7 10.59

(>3 11. 58 -lO*.. 7 532 .0 11.02

50 11.68 -89.9 552.7 11 . ^.5 55 11.96 -51.5 606.1. 12.1.7 60 12. 25 -11 .2 652. 8 13. 1.5 65 12. 56 ;j .2 720 . 7 11. . 38 70 12. 87 /3.1 780 .9 15. 27

75 13. 19 117.7 31.3.2 16. 13

80 13.52 1 63 .9 907.6 16.96

85 13.36 212.1 971.. 3 17.77

90 If.. 20 262 . 2 101.3. 3 18.56

95 l"*. 55 3114.3 11 11.. 3 19.33

100 l**. 91 36 1 . <« 118 8.5 20.09

110 15.6'* "Si. . 1 131.1.. 2 21.57

120 16. 38 605 .6 1506.

6

22. 98 130 17. l"* 732.9 1675.5 21.. 3 3 1<*0 17.91 181.9. 2 25.62

150 18.68 9 98 2025.

a

26.81.

160 19.'*6 11 33.r. 2203.6 27. 99 170 1268.6 2381 . 7 29. 07 lau 21. UZ 11.02.9 2558.9 30.08

190 21. -JO IS"*?. 7 2731..

6

31.03

2 00 22.58 16 66 .

a

29 J8 .

5

31.92

220 Zi*. 1922 .9 325 0.

3

33.55

2(»0 25. 69 2171.0 358'. . 0 35.0 0 260 27.21. 21.12.3 3910.5 36.31

280 ?S. 78 26'.7 . 7 «.23u.9 37.50

300 3C. S2 2878.6 (.51.0.0 38.53

TWO PHASE BJUNOAKY

SPECIFIC MEA T VELOCITY (arlv,- » V 1 # W [dpi \d 0 L

CP OF SOUND

J/G- K M/S BAR/K 8AR-Cm3/g

6.00 7. 1.3 2139 13.29 36968

6 .31. 7. (.9 3138 13.28 3681.6

6.11* 7. 66 2131. 13.23 361.97 6.23 7.82 2129 13.17 3611.2 6. 32 7. 98 2125 13.11 35782

6.1.] 3.13 2120 13.01. 351. 1 7 6.1*3 8.28 2115 12.97 3501.9 6.56 3. 1.2 2110 12.90 31.677 6.63 8.56 2105 12. 92 31.303 6.70 3.70 2099 12. 71. 33927

6. 76 8. 83 20 9'. 12.65 3 351.9 6.82 3.96 3088 12.57 33171

6.37 9.09 20 82 12.1.8 32793

6.92 9. 20 2076 12.39 321.15

6 . 96 9. 32 2071 12.29 320 39

7.01. 9.51. 2C59 12.10 31291

7.12 9. 76 201.6 11.91 3U556

7.2'. 10. 02 2032 11.71 29836

7.33 10.25 2018 11.50 29137

7 .1.2 10. (.8 2005 11.30 2 3«.63 7.61 11.00 1972 10.76 269 09 7.76 11.1.1. 191.2 10.22 25583

7.91. 11.83 1920 9.69 21.756 8. 16 12.21. 1B93 9.17 2 3898

ft. 1.3 12.65 1865 8.66 231 76

8 . 71. 13. 11 1835 8.19 221.1.1 9. 03 13.57 1905 7.7*. 21805

9.1.6 11.. 05 1775 7.33 21221 9.85 11.. 52 171.8 6.91. 20739

10.2'. 11.. 97 1721. 6.58 20338

11.03 15. 98 1691. 5.9'. 19783

11.75 16.62 1653 5.1.0 19312

12.27 17. 18 1632 <..9(. 19017

12 .65 17.56 1619 <..5i. 18886

12.37 17. 76 1613 1..20 18860

12.93 17. 83 1612 3.99 18909

12.93 17. 78 1615 3.62 19026

12.91 17.67 1620 3.39 19183

12.73 17.50 1629 3.18 19378

12.63 17. 31 1639 3.00 19598

12. 30 16. 89 1662 2.69 20097

11.93 16. 51 1687 2.1.3 20650

11 . 71 16.18 1715 2.22 21282

11 .50 15.89 171.3 2.01. 21977

11.3<» 15. 61. 1771 1.98 22728

91
TABLE I/I. rHE"t'0DYNA,-II3 DROPERTIES IF P AWflHYCRDGFN

600 BAR ISOBiR

MCL AR INTERNAL tNTHAL'^Y r -ITROPY SPECIFIC HEA T VELOCITY

TURE VOLUME fc Nf RCY CP OF SOUNO

\0 1 /y

< CM-J/b J/ C J/& J/ f . -

K

J/G- K M/S 3AJ/K 5AR-cm3

27.559 10. </ - 2 32 . 7 J95 . 7 5.91 6 . 7. 51 2193 13.60 38892

28 lU . i»9 -2 30 .u 39^.1 6.03 6.12 7.59 2191 13.57 3871*5 29 12.53 -225 . 1 i»06 . 7 6.30 6 . 22 7. 75 2137 13.51 381*07

30 10.57 -219. f> kik.b 6.56 6.31 7.90 2193 1 3.1*5 3806?

31 10.61 -2114. C 1*22.5 6.83 6 . 39 i . 05 2179 1 3. 3« 37712

32 10.65 -208.3 1*30 . 7 7.08 6 . 1*8 8.20 21 71* 13.31 3 7358

33 1U.69 - 2 J 2 . 5 1* 3 1 . 9 7. 31* 6 . 55 9. 31* 2170 13.23 36999

Zi* 10.73 -196.5 1*1*7. 3 7 . 59 6.63 9. 1*7 2165 13.15 366 37 35 10.77 -190.5 1*55 . 9 7 .81* 6 . 69 8. 61 2159 13.07 36? 71 36 10. 81 -le^ .3 i^oi* . 6 8.08 6 . 76 8. 71* 2151* 12.98 35903

37 10. 86 -173.1 1*73. 1* 8.32 6. 82 9. 86 211*9 12.90 35531* 38 10.90 -1 71 •

7

1*82 . 3 8.56 6 .98 8 . 98 211*3 12.81 35163

39 10. 9<» -165.3 t* 91 . 3 8.79 6 .92 9.10 2138 12.72 31.792

<fO 10. 99 -158.8 50 J . 5 9.03 6 .97 9. 20 2132 12.62 31*1.21

'f2 11. C9 -1 1*5 . n 519,1 9.1*8 7 . 05 9. 1*2 2121 12.1*1* 3 3690

1*1* 11.17 - 1 32 . C 53').

1

9.92 7 .11* 9.61* 21 09 12.21* 3291.6 11.26 -118.6 557.1 10 . 31* 7.25 9.88 2095 12.05 32223

ka 11. 36 -lOk.k 5 77.1 10.77 7 . 35 10.11 2082 11.85 31511.

50 11. '»6 - «9 . P 597.6 11.19 7.1*'* 10. 33 2068 11.61* 30R21. 55 11.71 -52 .2 650 .5 12.20 7 . 61* 10 . 81* 20 35 11.13 29206

60 11. 9*5 -12 .6 706.2 13. 16 7.91 11.29 200'* 10.60 27776

65 12. 26 28.2 763 .7 1<*.09 7 . 99 11.72 1971* 10.07 265 71 70 12. 51* 73.5 923.1 11*. 97 8.21 12.13 1951* 9.58 25873

75 12. ai* 111* .5 881*.

9

15.82 8 .1*9 12. 56 1927 9.09 250 36

80 13. 11* 1 to . 2 91*9. 8 16. 61* 8.90 12.99 1901 8.62 21*1*76 85 13.1*5 207.9 1011*.

9

17.1*1* 9. 15 13. 1*6 1871 8.17 23786

90 13. 76 257 .6 10 83.1* 18.2 3 9.53 13.91* 181,3 7.75 23207

95 11.. 08 309.1* 1151*. 3 18. 99 9 .92 11*. 1*2 1816 7.36 22692

100 11.. 1*1 363.2 1227.5 19.71* 10.31 11*. 88 1790 6.99 2 2211

110 15. 07 1* 78 .3 1392.3 21.22 11.15 15. 81 171*6 6.33 211.99 120 15. 71* 5 99.5 151*1*. a 22.63 11 .82 16. 5 3 1715 5.77 21023

130 16. 1*3 726.5 1712.1 23.97 12.3^ 17.11 1692 5.30 2061.1.

titO 17. 12 857 .7 1885.2 25.25 12.71 17.51 1677 i*.89 201.13 150 17. 83 991 . 7 2061 .1. 26.1*7 12.9'* 17.73 1670 '..52 20 339

160 18. 51* 1126.8 2239. 1 27.62 13.01* 17. 81 1667 i*.20 2031.1 170 19. 25 1262 .1 21*17.0 ?8.69 13. 01* 17. 78 1668 3.92 201.10 ISO 19.96 1396.5 2591*.

1

?9. 71 12.97 17.67 1672 3.67 2Q525

190 20.67 1529.

e

2769. 9 30.66 12.91* 17.50 1679 3.1*5 20687

200 21. 38 1660 .

8

291*3. 8 31.55 12 .69 17. 31 1687 3.25 20867

220 22.81 1917.1* 3285.

8

33. 18 12. 35 16. 90 1708 2.91 21321*

21.0 21*. 22 2 1 66 . 1 3619.6 31*. 63 12.03 16. 52 1731 2.61* 21832

260 25. 61* 21.37.9 391*6.1* 35.91* 11 .76 16. 20 1756 2.1*1 221.00 280 27. 05 26<*i* .1 1*267. 3 37.13 11.55 15. 92 1783 2.22 2301.6 300 28. 1*6 2 8 75 . 7 1*583.3 38.22 11.39 15.69 1809 2.05 23751

TWO PHASE ajUNOARY

92
TA8LE THflCCVNAMIC PPOPERTIES OF P fl A H Y OROGE N

65 0 TA^ ISOOA.< TE^'PERA- MOLAR INTE^riAL TDRE VOLUME ENERGY

K cm3/g J/G

2a.i*kH lu.37 -22k.

29 IC. ?9 -221.9

30 1C.'»3 -216.6

31 10. 1*7 -211.1

32 10.50 -205.5

33 10. 5'* -199. f> 31* 10.5>J -193.9

35 10.62 -139.0

36 10.66 -lS2.n

37 10.70 -175.8

38 lG.7it -169.6

39 10.78 -163.3

1*0 10.82 -156.'^

1*2 10.90 -l'*3.9

i*'* 10. 99 -1 30 .6

<«6 11.08 -117.5

1*6 11.16 -103.5

52 11.26 -89.?

55 11. '9 -52.1

60 11.7^ -13.2

65 11. 99 27 . C 70 12.26 68.8

75 12.53 112.2

80 12.81 157.6

85 13. 09 20't.8

90 13. 38 2 5'*.: 95 13.67 305.6

ICO 13.97 359.1

110 11*. 58 '73.8

120 15. 19 59^*.

7

130 15.92 721.3

I'^a 16.1*6 852.3

150 17.10 986.1

160 17.76 1121.3

170 18.1*1 1256 .6 130 11.06 13P1.2

190 1>^. 72 1521*.'* 200 20.37 1655.9

220 21.68 1912.9

2lfO 22. 98 2162.1

260 21.. 29 2'»0'«.'4 280 25. 59 26'tl.l

300 26.88 2373.3

» TWO PHASE BOUNDAl^Y

ENTHALPY ENTROPY SPECIFIC

J/G J/G-K J/G-

''*9.3 5 .96 6. 15

1453. 5 6. 11 6 .21 "51 .3 6. 37 6. 30

'69. 2 6.63 6 . 39

1*77. 3 6. 89 6 .147 1485. 5 7. 1'4 6.55

'493 . 8 7 . 39 6.62

502.3 7.63 6.69

510.9 7.83 6. 76 519.6 8.11 6.82

528.14 6. 35 6 . 38 537 .

I4 8 . 58 6 .93

51*6. 1* 8.81 6 . 98

5614 . 9 9 . 26 7 . 07 583.7 9.70 7.15

602.5 10.12 7.27

622.2 10.514 7.37

6^2.14 10.95 7.I47

6914. 7 11 . 95 7 .68

7I49.7 12 . 90 7 . 85

8 06 .6 13.81 8. 014 865.6 114 .69 8 . 27 926 . 8 1^.53 3.514 990.2 16.35 8.36

1055.9 17.15 9.21

II214.O 17. 92 9.59

119:4.14 18.69 9 .99 1267. 2 I9.I43 10.38

II42I.3 20 . 90 1 1 . 23 1562.2 22.30 11.89

17149.7 23.61. 12.1*1 1922. 1 21*. 92 12 . 78 2097.9 26.13 13.00

227'^. 1* 27. 28 13 . 10 2453.1 28.55 13.10

2630."* 29. 37 13 . 02 2805.9 30.31 12.90

2979.9 31.21 12.75

3322 . 0 32 . 81* 1 2 .i*J 3656 . 0 314 . 29 12 . 03 3983.0 35.60 11.31

1*301*. 1 36 . 79 1 1 .60

1*620 . 7 37. 8 3 11.1*14

HEA T >/ELOCITY Ut Iv CP OF SOUNn

M/S 8 AR/ K BA R -C

7.60 221*5 13.89 1* 0 7 92 7.69 221*3 13.86 1* 0 6 1

3

7 . 8I4 2 2 39 13.79 1* 0 2 85 7.99 2235 13.72 3 ggi,

9

8.13 2 2 31 13.61* 396 09 8.27 2 2 26 13.56 3 92 63

8. 1*0 2221 13.1*8 38913

8.53 2217 1 3.1*0 38559

8.66 2212 13.31 3 3201 8.78 2 2 06 13.22 3 73 1* 1 3.90 2 2 01 13.13 3 714 79 9.01 2 1 96 13.01* 3 7115 9.11 2191 12.91* 3 6750 9.32 2180 12.75 360 20 9.53 2168 12.56 3 52 91 9.77 2155 12.37 3 145 69 9.99 211*2 12.17 33856

10. 20 2129 11.97 33158

10.71 2 096 1 1 . 1* 7 3 11* 95 11.16 2 0 61* 10.96 2 99 83 11.59 20 33 1 C . 1*1* 2 8677

12.03 2 0 0 3 9.92 2 75 81

12 . I46 1981* 9.1*8 2 69 87

12. 92 1956 9.01 2 6? 5 3 13.36 1932 8.56 25729

13. 314 1901* 8.11* 2 510 7

11*. 33 1877 7.75 214553

11*. 80 1853 7.38 214O89

15.7'* 18 0 7 6.71 2 32 96

16. 1*6 1773 6.12 2 26 99

17.01* 171*7 5.63 2 22 36

17 . 1*5 1 7 32 5.20 21955

17.70 17 22 1* . 8 3 217 82 17.79 1719 1+ . 5 0 2 17 5 7 17.77 1719 1* . 2 0 217 86 17.66 17 22 3.91* 218 77 17.50 17 28 3.70 219 99

17. 32 1731* 3.1*9 22II4I 16. 91 1753 3.13 225148

16. 52 1771* 2.81* 23020

16. 20 1797 2.60 23531*

15. 95 1821 2.39 21*1 18 15.73 181*6 2.22 21*776

93
TABLE THERMCOYNAMIC PROPERTIES OF PARAHYDROGEN

TEMPERA700 BAR I SOBARMOLAR INTERNAL ENTHALPY ENTROPY SPECIFIC HEAT VELOCITY \m [m

TMPC" i U K t V U l_ U ~ C. Pt MI'J cCI? ro YT r P U r i UU IN U K Cm3/& J/G J/G J/G-K J/G- K M/S RAR/K 3iR-CM3

29.318 10.27 -216.8 5 02 .1* 6.01 6 .22 7. 63 2295 14.18 42668

30 10.30 -213.2 507.7 6. 19 6.29 7.73 2292 14.13 42454

31 10.33 -207.9 515.5 6.1.5 6.33 7. 93 2289 14.05 42133

32 10. 37 -202 .i* 523.5 6.70 6 . 1*7 8.07 2285 13.97 41807

33 10. <! -196 . 'i 531.7 6.95 6.55 3.21 2230 13.89 414 74

31* 10. -191.0 51*3 . 0 7.20 6.62 3. 31* 2276 13.81 41137

35 1C.<*8 -185.2 SftS .

i* 7 .1*1* 6 .69 8.1*7 2271 13.72 40794

oO in 7 1 U • -> c — 1 7 Q "? V

f>o • Q^ 7 6 8 O . f o P P Pi7 c c o f 1 v3 • O J ^ 0 ^ 8 37 10. 55 -173.2 565.5 7.92 6.83 3.71 2262 13o54 40098

38 10. 59 -167.1 57'.. 3 8.15 6 . 39 3.82 2257 13.44 39745

39 10.63 -150 .9 583.2 8.39 6 . 91* 8. 93 2252 13.35 39389

itQ 10.67 -1 5'+ . 6 592 . 2 8.61 6 .93 9.03 2247 13.26 390 32

i*Z 10.75 -1 ill . R 610.4 9.06 7.03 9. 21* 2236 13.06 3 3313 10.83 -128.7 629. 1 9. 1*9 7.17 9. 1*1* 2225 12.87 37592

IG. 91 -115.8 6U7 . 7 9.91 7.29 9.67 2212 12.67 36874

if8 10. 99 -102.0 567.3 10 . 32 7. 39 9. 89 2199 12.48 36162

50 11.07 -87.9 687.2 10 .73 7 .1*9 13.10 2186 12.28 35459

D 0 11i 1 • t? Q^ 7 3 9 • Q 11 7 ? 7 71 11 c: Q iJ -> T 11 7 0 1 1 • r n

7 7 7 C 7 69 11.5? - 1 3 . C 793.3 12.66 7 .39 11.0 3 2122 11.28 32203

65 11. 76 26.7 81*9.6 13.56 3 .09 11. 1*3 2091 10.78 30 808

70 12. 00 63 . r 9 08 .1 11* . 1* 3 8. 32 11.92 2059 10.28 29606

75 12.25 110.9 963.8 15. 27 3 .63 12. 36 2023 9.78 23609

80 12.51 155 .8 1031.8 16. 0 3 8 . 92 12.81* 2011 9.37 23107

85 12.78 202 .7 1097.

1

16.87 9 . 27 13.31 1982 8.92 27392

90 13.05 2 51.7 1161*. 8 17.61* 9.65 13.77 1958 8.50 26882

95 13. 32 302 .7 1231*.

9

18 . 1*0 10.05 14.21* 1934 8.11 26391

100 13.59 356 . 0 1307.

3

19. 15 13 .1+5 14. 72 1909 7.74 25859

1 1 u 1^.15 1 ^ D U • 0 11 ? Q i ~ • D o J. 0 D t3 7f . n 7 U ' C V U ~ 1 120 l^*. 72 590 .8 1621. 1 22. 0 0 11 . 96 16. 41 1830 6.46 24421

130 15.30 717.3 1738.

0

23 . 31* 12.1+8 16. 96 1802 5.94 23397

li^O 15.88 8i.8 .0 1959.7 21*. 61 12 . 85 17. 40 1781 5.50 23431

150 16. 1*8 981 .6 21 35. 0 25 . 32 13.06 17. 66 1772 5.12 23235

160 17. 08 1116.7 2312.2 26.96 13.16 17.78 1766 4.78 230 88 170 17.69 12 52 . C 2490. 0 28 . Qi* 13.16 17. 76 1767 4.47 23148

180 18. 29 1386.7 2667 . 1 29. 0 5 13.08 17. 66 1770 4.20 23222

190 18. 89 15 20 .

1

281*2. 6 30. 00 12.96 17.50 1775 3.95 23321

200 19. 50 1651 .7 3016.6 30 . 89 12.80 17. 32 1730 3.73 23432

220 2C. 71 1909.2 3353.8 32.52 12 .1*6 16. 92 1796 3.3 5 2 37 69

2^*0 21. 92 2158.8 3692.

9

33.93 12.13 16. 53 1816 3.04 24200

260 23.12 21*01 . 6 i*Q20.1 55 . 29 11 . 36 16. 21 1837 2.78 24683

280 Zk. 32 2633.7 1*31*1. 1* 36 .1*3 11.65 15.96 1858 2.56 25198

300 25. 52 2 8 71 .5 1*658 . 2 37.57 11 .1*9 15. 75 1831 2.37 2 58 01

TWO PHASE 8CIUN0ARY

94
TABLE VI. THERPCDYNAK IC PROPERTIES OF PflRflHYDROGEN

750 34R I SOBAK

c u n rr n A (if]

L n P f- K A - MOL AR IN 1 E K r. A L ENTHALPY E NT P 0 PY SPECIFIC HEAT VELOCITY

TU RE w n 1 1 1 M c tf U L U t ENERGY C V 0 P Or SOUND

K C M 3 / G J / b J / G J/ G - K J / G- K ^^/s B AR/K 0 AK -

C

. > U • 1 b 8 1 U • 1 u ~ 2 u 0 • n 5 55.0 6.06 6.30 1 %1

1

2 3 ^^3 1 ^ • 6 ^^5 2^

3

1

10*21 ~ 2 0 ^ • ^ 5 61.5 6.27 6.37 7.89 2 3'«0 1 . 3 9 I* '»2 69

32 1 0 • 2 5 - 1 99 • Q 5 6 9.5 6.53 6 . < 6 8.03 2 3 36 1 . 3 1 '3956

33 10.28 -193.5 5 7 7 *6 6.78 6 • 5*+ 8.16 2 3 33 1 . 2 2 '36 37 3k 1 C • 32 — 1 7 • 8 5 8 5 .8 7.32 6.62 8.29 2 3 28 1 . 1 3 I* 3 3 1

2

in 7 c 1 U • n5 P — 1 8 2 « 1 5 9^.1 /.CD 6.69 3 . if 1 2 3 2^ 1^.0^ 'i 2 9 8 2 36 10. 39 -1 76 . 3 602.6 7.50 6 . 76 3. 54 2319 13.95 <426i»6 37 10. if2 -170.3 611.2 7 . 7(4 6.35 8. 65 2315 13.85 '2307

7 A 1 U • H D X u H • o P.D X1 QT . QT 7 Q 7 fc. ft Q 0 . / D

5 7 1 n c J 1 u 17 7 c: /.4 1 Q C 7 1 T t3 0

7 Q 1 u • *+ ^ _ 1 C Q p X P 0 • rP.O ? fl 7 tl G • f fl p n 0 * c u D . ^ 4

ftoft 7 . O f 7 7 n

c 0 U -> 17 A ^ ID XO

_ 4 CO n P. 7 7 7 A 7 0 * 4 J D • ^ ^

ft Q 7 c 0 U U 17 c: c 1 0 * ^ 0 1.* 1 9 C 7 L c D f

He in c n 1 U • o u — 1 3 9 • ^

C 1^ ^ ft 8.87 7*09 9*17 •7 5 on 17 7 C * U !? DC

1 0 • 6 8 - 1 ? 6 * ^ 6 7 if • 3 9.30 7.18 9.36 22 79 13*17 3 9851

10.75 — 113. 7 6 92 .7 9.71 7.31 9.59 22 67 12.97 391 '0

in ft 7 "10 0*1 7 i 0 1

^ 1 r . 1 10.12 7 /.I 9.80 2 254 12*77 3 8'+ 31 10.91 - 86 • 2 7 31.9 10.52 7*51 10.00 2 2 41 12*57 3 7 7 27

11 11 1 1 • L 1 — en 9 7 H 7 "7

* J . (1 11.50 7 7 10.49 2 2 0 9 12*08 3 60 17

60 11. 32 -12.2 837 .0 7.92 10. 92 2178 11.58 3^i*ll 65 11. 5if 27 . 0 8 92 . 7 13.33 8.13 11.36 2146 11.09 329'^9 70 11.77 67 . 8 950 .6 I't. 19 8 .38 11 . 82 2113 10.60 31660

75 12.01 1 10 . ^4 10 10.9 15. 02 8 .66 12.28 2081 10.11 30561

80 12. 25 Iv** . B 10 73 . If 15. 33 8.93 12. 73 2050 9.63 29652

85 12.50 201 . 3 1138.5 16.61 9 .33 13. 20 36 9.27 29222

90 12. 75 250 . 0 1205.9 17. 38 9.72 13. 72 20 06 8.8'^ 28502

95 13.00 3 00 . 8 1275. 6 18 . If^ 10.11 li^. 19 198'^ 8.i*'^ 2805'^ 100 13.25 3 53 . e 13'^7 . 3 18,38 10,51 !<. 65 1962 8.07 27636

110 13.77 '67 .6 1500.5 20 . 33 11.36 15. 63 1917 7,39 26711

120 li^. 30 5 e7 .9 1660 . 5 21.73 12.03 16.36 1885 6.79 26127

130 11^. 71i» . 2 1827.0 23. 06 12. 55 16.92 1856 6.25 25555

15.38 8 •

'? 1993. 1 Zh. 32 12 . 92 17. 32 1833 5.77 25082

150 15.93 978 . i 2172.

6

25 . 53 13.13 17. 61 1816 5.38 2'^582

160 16. '9 1113 . 1 23i*9. 6 26. 67 13.23 17. 7't 1812 5. 01^ Zi*t* 76 170 17. 05 12'^8 . 2527.0 27.75 13.22 17. 76 1808 '.73 2'^3'^1 180 17. 62 1383 . 1 27 0it.2 28. 76 13 . 11+ 17.66 181i^ '.'5 2'^'^99 190 18.18 1516 . 6 28 79 . 8 29. 71 13.02 17. 50 1819 '.19 2'^627 200 18. 7^ 16i^8 .h 3053.9 30.60 12.36 17. 32 182'f 3.96 2'^729 220 19.86 1906 .2 3396 .

0

52.2 3 12.52 16. 92 1837 3.56 2'^97'^

2'tO 20 . 99 2156 . 3 3730 .

3

33. 59 12.19 16. 5'^ 1855 3.23 25372

260 22. 11 2399 . 5 '0 57 .6 35 . 0 0 11.91 16. 22 1875 2.96 25325

280 23.23 2637 . 1 '379.1 36.19 11.70 15.96 1895 2.73 26321

300 2870 . 3 (696.1 37. 28 11 . 5'^ 15. 77 1915 2.53 26825

TWO PHASE 33UN0ARY

95
TABLE 'Jl. THEPMCnYNflMIC PROPERTIES OF P flRfl H Y 0 =?OGE

N

800 BAR ISOBAR

TEMPERA- MOLAR INTERNAL ENTHALPY ENTROPY SPECIFIC HEAT VELOCITY

TUPE VOLUME ENERGY CM CP OF SOUND

K cm3/g J/C- J/G J/G-K J/G-K M/S BAR/K 3AR-Cm3/G

ldP\ ldP\

30 .999 10.10 -2 00.7 6 07.2 6.11 6.37 7 . 85 2 390 l^*. 73 1*63 60 31 1 0 . 1 13 -2 JO . 7 607.2 6.11 6 . 37 7. 85 2390 li».73 1*63 60

32 10.13 -1^5 .k 615.1 6. 36 6 . i*S 7. 99 2387 l't.6i» 1*6062 33 10.16 -190 .0 623 .1 6.61 6 . 5't 8. 12 2 3 83 1 1*.55 1*5756

3it 10.20 -IS'*.'* 631.3 6.85 6.62 8. 25 2 3 79 i*5i.i*3 35 10.23 -178.8 639.6 7.09 6 .70 8. 37 2375 114.36 1.5125 36 10. 26 -1 73 . C 61*8 . a 7.33 6 . 77 3. 2370 14.26 1*1*801 37 10.30 -167.2 656 . 6 7.56 6 . SI* 3.60 2366 lit. 16 1*1*1*72 3S 10. 33 -161 .2 665. 3 7.30 6.90 8.71 2361 11*. 0 6 1*1*1 3 8 39 10.36 -155 .

2

67'* . 0 8.02 6 . 95 8. 82 2357 13.96 IV38 0C 10. i+O -l't9 .1 682 .9 8 . 25 7.00 8 .91 2352 13.86 1*31*59

42 10. 1*7 -13 6.6 7 0 0 .9 8.69 7 . 10 9.11 231*2 13.66 1*2769

i»V 10. 51* -123.8 719.3 9.12 7 . 19 9. 30 2 332 1 7.1*6 1*20 70

1*6 10.61 -111.3 737.6 9.52 7.32 9.52 2319 13.25 1*1367 ^8 10.68 -97.8 756. 8 9.93 7 . 1*3 9.73 2307 13.05 1*0663 50 10.76 -81* . 1 776 . 5 10.33 7.53 9.92 2291* 12.85 39962

55 10. 95 -1*8 .5 827 . 3 11.30 7 . 76 10. 39 2263 12.36 3821*1 60 11.11* -11 .C 880 .6 12.23 7 .96 10. 82 2231 11.87 36603

65 11. 35 27.8 935 . 8 13.11 8.17 11.26 2199 11.38 350 88 70 11.56 68.3 993. 3 13. 96 8 .1*2 11.72 2166 10.90 33728

75 11.78 110.5 1053.1 11*. 79 8.71 12. 19 2133 10.1*2 3251*2

80 12.0 1 151* . e 1115.2 15. 59 9. 01* 12. 66 2101 9.95 31537

as 12. 21* 2 00 .8 1179.7 16 . 37 9.1*0 13.13 2fi70 9.1*8 3 0708

90. 12. 1*8 21*9. 0 121*7. 1 17.11. 9.78 13.66 2058 9.17 30330

95 12.71 2 99 . 6 1316.1* 17. 89 10.18 11*. 13 20 33 8.75 29772

100 12. 95 3 52 . 3 1388 . 1* 18.63 10.58 11*. 60 20 08 8.37 29215

110 13. 1*1* 1*65 . 7 151*0 . 7 20.08 11 .1*3 15. 58 1961* 7.69 28313

"l20 13.93 5 95 . 7 1700.1 21 . 1.7 12.10 16. 31* 1932 7.10 2761*9 130 11*. 1*3 711 .° 1366 .1* 22.80 12.62 16. 89 1908 6.55 27217

li»]0 11*. 93 8 1*2 . 1* 20 37.1 21*. 06 12.99 17.28 1885 6.05 26716

150 15. 1*1* 9 75 . 7 2211. 0 ?5 . 26 13.21 17.53 1861* 5.62 26197

160 15. 96 1 1 10 . 1. 2387.2 26.1*0 13.29 17.71 181*9 5.27 25677

170 16. 1*9 121*5 .6 2561*.

6

27.1.8 13.29 17.72 1851 I*. 97 25679

180 17.01 1380 .3 271*1.1* 28. 1*9 13.21 17.68 181*9 it.68 25529

190 17.51* 1513 . 8 2917.2 29. i+i* 13.08 17. 51 1859 i..i*2 25919

200 18.07 161*5 . 7 3091 . 1* 30 . 33 12 .92 17. 32 1866 1..18 25996

220 19. 12 1903 ^ o 31*33.6 31 .96 12 .58 16. 93 1878 3.76 26206

2-<fO 20.17 2151* .

I. 3768. 0 33.1*2 12.25 16.55 1893 3.1*2 26521

2.60 21. 22 2 3 98 .0 1*095 .6 31*. 73 11.97 16. 23 1912 3.13 26958

280 22. 26 2636 . c 1*1*17. 2 35.92 11.75 15. 97 1930 2.89 271*22 300 23. 31 2869 . 7 1*731*. 3 37 . 0 1 11.59 15. 77 191*9 2.68 27920

TWO PHASE BOUNDARY

96
TABLE "JI. THEKMCOYNAMIC PROPFRTIES OF PflRflHYO^OGEN

850 Ba^ ISOBAR

TEMPERA- MOLAR INTERNAL

TUPE VOLUME ENERCY

K cm3/g J/G

31. 311* 1C. 02 -192 .6

32 1C.Q2 -191.6

33 10.05 -186.3

3t* 10.09 -i'\0.<^ 35 10.12 -175.2

36 10.15 -169.5

37 10.18 -163.8

38 1C.21 -157.9

39 1C.25 -1=1.9

1*0 10.28 -li»5.9

UZ 10.35 -133.6

''f lO.f^l -121.0

i»6 10. "S -lOfl.5

1*6 10.55 -95.3

5C 10.62 -81.7

55 10. 80 -t»6.i. 60 10.98 -9.3

65 11.17 29.2

70 11.37 69.3

75 11.58 111.?

80 11.79 155.0

85 12.00 200.9

90 12.22 21.8 .9 95 12.'*5 299.0

100 12.68 351.6

lia 13.13 i«6i».6 120 13. 60 58i*.;< 130 1'4, 0 7 7 10 .2

l^tO l't.5'* d'»0.8 150 15.01 974.1

160 IS.i^g 1108.7

170 15.98 121.3.7 180 16.1.8 1378 .3 190 16.97 1511.8

200 17.1.7 161.3.8 220 18.1.6 1902 .2

2i*a 19. '.5 21 53.1 260 20. 1.3 2397 .1 280 21.1.1 2635 .6 300 22.39 2869.7

TWO PHASE BOUNDARY

ENTHALPY ENTROPY SPECIFIC

J/G J/&-K J/G658 .9 6. 15 6.1.1. 660 . 3 6. 20 6.1.6 668.1. 6.1.5 6.51. 676.5 6.69 6.62

681.. 8 6.93 6.70

693.2 7.17 6.77

7 01 . 7 7 . 1. 0 6 . 31. 710.3 7.63 6.90

719.0 7.86 6.96

727.9 8.08 7.01

71.5.8 8.5? 7.11

761.. 1 8.91. 7.21

732. 2 9. 35 7 . 31. 801 .1. 9.75 7.1.5 820.9 10.15 7.55 871.3 11.11 7. 79

921.. 2 12. 03 7.99

979.0 12.91 8.21

1036. 0 13.75 8 .1.7 1095. 3 II.. 57 8 . 76

1157.1 15. J7 9.10

1221.2 16. 15 9.1.7 1287.8 16.91 9.85

1357.5 17.66 10 .21. 11.29.1 18.^0 10.65

1580 . 8 19. 81. 11 . 5J 171.0.1 21.23 12.16

1906.0 22.55 12.69

2075.5 23.82 13.06

2250.1 25. J2 13.28

21.25. 7 26. 15 13.37

2602.1 27.22 13.36

2779.1 28.23 13.27

2951.. 3 29. 18 13 .11. 3129.1 30.07 12.98

31.71.5 31.71 12.63

3806.0 33.16 12.30

1.133 . 7 31.. 1.7 12 . 02

1.1.55.5 35.67 11 . 81

1*772. 7 36.76 11 .61.

HEAT VELOCITY (f^) (0)

CP OF SOUND ^ ' M/S BAR/K aAR-CM3/

7. 93 21.35 21.35 11.. 99 1.8179 7.95 21.35 11.. 98 1*8126 8.09 21.31 11. . 8 8 1. 78 33 8.21 21. 28 1 1. . 7 8 1. 75 33 3.33 2 1» 2<4 1 1. . 6 8 (,72 2 7

8 . 1.5 21. 19 1 1. . 5 7 1.69 11 8.56 21. 15 1 1. . 1. 7 1.65 96 8.67 21. 11 11.. 3 7 1. 62 72 8.77 21. 06 1'..26 1. 59i*<* 8.87 21. 02 1 1.. 1 6 1. 56 12 9.06 2392 13.95 1.1.936 9.21. 2382 13.71. 1.1.250 9. 1*6 2370 13.53 1*3557 9.66 2358 13.33 1*28 60 9.86 231.5 13.12 1* 21 63

10 . 32 2311. 12.63 1* 01* 38 10.71. 22 83 12.11. 38777

11.17 2251 11.66 3 72 20 11.63 2217 11.18 35799

12. 11 218'» 10.71 3 1.5 37

12. 59 2151 10.25 331.1*8 13. 07 2119 9. 79 32531

13 . 51. 20 89 9.33 3 1771*

11. . 1

0

2079 9.0 7 3 11* 25

11. . 51. 2057 8.67 30983

15 . 51. 20 05 7.96 2971.6

16. 31 1973 7.36 2901*3 16.89 1951 6.33 2 8600 17.25 1935 6.33 2 331.6 17. 1*8 1915 5.38 2 78 61

17. 62 1 8 91. 5 . 1*9 2 7222 17.71 1882 5.18 26719

17. 61. 1888 I*. 89 26831. 17.55 1887 1..6I. 2661.9

17. 31. 1902 i..i+0 27089

16. 91. 1916 3.96 27386

16. 55 1931 3.60 27708

16. 21. 191.6 3.30 28038

15. 97 1961. 3.01. 28510

15. 77 1982 2.82 28979

97
TABLE VI. THERMODYNAMIC PROPEPTIES OF PflRflHYOROGEN

900 34R I SOOAR

EMPERfl- MOL AR INTERNAL ENTHALPY E NTPOPY CpppTfTTp HEAT \/FLOCITY 1?) (H)

TURE VOLUME ENERGY C '/ C P OF SOUND

CM 3/ G J/ G J/ G J/G-K J/G- H /S 3 A R / K

32 .61'* 9.9'+ - 1 8 "4 . 710.2 6.20 6.51 3.01 2'+ 80 15.25 1+99 81 33 9.95 . 713.3 6.29 6 . S"* 8.06 ZU 78 15.21 1+98 72

3i» 9. 93 -1 77 • 0 721 . 1* 6 . 5'« 6 . 62 3.18 2'+ 75 15.10 1+95 85 35 IP. 01 -1 71.5 7 29.7 6.77 6.70 3.30 2't 71 15.00 1+ 92 91 36 1 0 . 0 < -165.9 73S. 0 7.01 6.79 3. 1+2 21+67 11+. 39 1+8989 37 10.07 -1 eo .2 71*6 . 5 7. 2't 6. 85 8.53 21+63 11+. 78 1+8682 38 10.11 - 1 5'* . 7 55 .1 7 . 7 6.91 8.6'+ 21+59 1 1+ . 6 7 1+3 3 68 39 1 0 . -1 1, 3 . 5 7 6 3.8 7.70 6.97 2 1+ 51+ 1 1+ . 5 6 1+30 50 10.17 -1 (42 .

5

7 7 2.6 7.92 7.02 8.33 21+50 1 1+ . 1+ 5 1+ 77 26 hZ 10.23 -130.3 7 9 0 .'* 8.35 7.12 9.01 21+ 1+1 1 1+ . 2 3 1+70 67 44 10.29 -117.8 8 0 8.6 8.78 7.22 9.20 21+30 1 *+ . 0 2 1+63 91+ kb' 10.36 -10 5.6 826. 7 9.18 7 . 35 9 . i+l 21+19 13.31 1+5712

<»B 10. 1*2 -92 . 8 1*5 , 7 9.58 7 . 1*7 9.61 21+07 13.59 1+50 23 50 1 0 . '9 -78.9 3 65 .1 9.98 7.57 9.80 2 795 13.39 1+ 1+3 31 55 10.66 0 915.2 10 . g** 7.81 10.25 2 3 61+ 12.88 1+260 7 60 10. 83 -7.2 967.8 11 . 85 8.02 10.66 2332 12.39 4+0930 65 11.01 30 .9 1022.1 12 . 72 8 . 21+ 11. 09 2300 11.91 39338

70 11.20 70 .7 1078.7 13.56 8.51 11.55 2267 11. (+5 3 7866

75 11. 39 112.3 1137.6 li*. 37 a . 31 12. 03 2233 10.98 36539

80 11.59 155 .9 1199. 0 15. 16 9. 15 12.52 2199 10.52 35374* 85 11. 79 201 . 6 1262 . 9 15 . 91* 9.53 13. 02 2167 10.07 31+376 90 12.00 21+9 . 1+ 1329.

1

16. 70 9 .92 13.50 2136 9.63 3351+0 95 12.20 2 99 . 3 1397.

3

17 .1*1* 10 . 32 13. 96 2108 9.19 3281*9 100 12.1.3 3 SI . 1+ 11+70 . 0 18. 18 10.71 11+. 53 2100 3.97 321*91* 110 12. 85 '+6'+ .2 1621 . 1 19. o2 11.57 15.1.9 2050 8.23 3 1377

120 13. 29 583 . 6 1779.9 21. 00 12 . 21* 16. 2it 20 18 7.61 30692

130 13. 73 709 . 3 191+5.'+ 22. 32 12 . 76 16. 87 1989 7.08 29925

11+0 11+. 19 839 . 7 2116. ' 23.59 13.13 17.21* 1978 6.60 29816

150 11+. 63 973 . 1 2239.

3

21*. 79 13.35 17. '*5 1963 6.13 291*92

160 15. 08 1107 .8 21+61+. 8 25 . 92 13 .1*1* 17. 55 igt+s 5.72 28962

170 15.53 121+2 . 7 261+0 . 3 26.93 13. 1*3 17. 66 1915 5.37 27872

180 15. 99 1377 .1 2816. 1+ 27.99 13 . 31+ 17.61* 1913 5.08 27700

190 16. 1.6 15 10 . 5 2991 .

7

28. 93 13.21 17.50 1921. 1+.83 2791*9 200 16. 93 16 1+2 .5 3166.

2

29.83 13.01+ 17. 1*0 1921 1..59 27675

220 17. 87 1901 . 2 3509.5 51.1*7 12.69 16. 95 1951 1*. 16 2 81*96

2'»0 18.80 21 52 .1+ 331+1*.

5

32.92 12. 36 16. 55 1968 3.78 28917

260 19.73 2396 .8 1+172. 1 31*. 23 12.03 16. 21+ 1980 3.1+6 29175

280 20. 65 2635 . 7 1+ 1+91+. 0 35.1*3 11 . 36 15. 99 1995 3.20 2951+5 300 21.57 2 370 .2 1*811.6 36.52 11.69 15.79 2012 2.97 29982

TWO PHASE BOUNDARY

98
TABLE VI. TmERMCCYNAMIC PPOPE(?TieS OF PflRAHYC^OGEN

950 31R ISOBAR

TEMPERA- MOLAR INTFR^'AL TURE VOLUME ENERGY

K Cm3/G J/&

33.393 9.87 -176.'

3't 9.3 3 -1 73 . 0 35 9.91 -167.6

36 9.9i» -162.1

37 9.97 -156 .'* 38 10.00 -lEa.7

39 10. 03 -li+t.3

ifO 10. C6 -133.9

1*2 10.12 -126.9

1*1* 10.18 -1114.5

10.21* -102.?

1*6 1C.31 -39.3

50 10.37 -76.0

55 10. 53 -iil.Z 60 10. 70 -i*.e 65 10.87 33.0

70 11. Oi* 72.5

75 11.22 113.9

80 11. 'I 157.2

85 11.60 202.7

90 11. 79 2 ?0.?

95 11.99 330.2

lOa 12.19 352.2

110 12.61 itbk.U 120 13.01 533.5

130 13.'*'* 7 0 9. C li*Q 13.86 339.2

150 li«. 28 9 ?2 .6

160 1'..71 1107.5

170 15.13 12'<2.5 180 15.55 1376.9

190 15.98 1510.1

200 16.1.'* 1642.

C

220 17.33 1900.7

21*0 18. 22 2152 .2 260 19.09 2397.1

280 19. 96 ZbZb.i* 300 20.83 2371.3

TWO PHASE 3UUN0ARY

ENTHALPY ENTFOPY SPECIFIC

CV J/G J/G-K J/G761.1 6.24 6.53

766. 0 6. 39 6.63

774 . 2 6.63 6.71

732.6 6. 86 6. 73 791. C 7.09 6. 35 799.6 7 . 32 6 . 92

3 0 3 .3 7.54 6 .93 817.0 7.77 7.05

8 . 8 8.20 7.14

852.9 8.62 7.24

370 .9 9.02 7.37

389.9 9.42 7.49

909.2 9.82 7.59

959.0 10.77 7 . 34 1011.2 11 . 68 8 . 05 1065. 2 12.54 3 .23

1121.'* 13.37 8 .55 1180.0 14 . 1 3 3 . 86

12 41.0 14.97 9.21

1304.5 15. 74 9.53

1370.6 16.49 9.93

1439. 0 17 . 23 10 .39 1509.

3

17. 96 10.79

1662 . Q 19. 4 1 11 .64 1319.7 20 .78 12 . 31 1985. 3 22. 11 12.33

2155.

7

23. 37 13.20

2329. 5 24.57 13.42

2504. 7 25.7: 13.52

2679.

3

26. 76 13.51

2854.6 27.76 13.42

3023.4 28.70 13 . 23 32 03 . 6 29. 60 13.11

3546.9 31 . 24 12. 75 3333.0 32.70 12 .42 4210 .

9

34. 01 12.14

4532.9 35. 20 11 . 92 4850 . 5 36.30 11.75

HEA T VELOCITY U7 IJ7

CP OF SOUND

\<JT/y \0P Ij

K M/S BAR/K b*r-cm3/g

8. 09 2523 15.50 51768

3. 16 2520 15.43 51601

3.28 2517 15.32 5 1319 3.40 2513 15.20 51029

3.51 2509 15.09 50732

8.61 2505 14.97 50429

3.71 2501 14.36 5 0120

3. 80 24 96 14.75 49806

3.93 2487 14.52 49163

9. 16 2477 14.29 48504

9.37 2466 14.0 7 47833

9.56 2454 13.86 47153

9. 75 2'»tf2 13.64 46467

10.19 2411 13.13 44748

10 . 59 2380 12.63 43059

11. 02 2348 12.15 41439

11.47 2314 11.69 39924

11 . 95 2280 11.23 33539

12. 45 2246 10.78 37306

12.96 2213 10.34 36234

13. 45 2182 9.90 35323

13. 93 2152 9.47 34562

14. 37 2125 9.04 3 39 30 15. 40 2107 8.50 33547

16.20 2055 7.84 32102

16. 83 2025 7.30 31255

17. 26 2009 6.83 30868

17 . 45 20 04 6.38 30894

17. 52 19 92 5.95 3 0604 17.53 1975 5.58 30068

17.59 1942 5.25 23769

17.51 1944 5.00 2 8651 17.34 1958 4.76 28988

16. 99 1978 4.34 29384

16. 56 2001 3.95 30 0 26

16. 25 2013 3.62 30279

16. 00 2026 3.34 30574

15. 80 2042 3.10 31005

99
TABLE VI. THERMODVNaMiC PROPFPTIES OF P A RA H Y OR OG E

N

1000 BAR ISOBAR

TEMPERA- MOLAR INTERNAL ENTHALPY ENTROPY

TURE VOLUME ENERGY

K cm3/g J/G J/G J/G-K

SPECIFIC HEAT

CV CP

J/G-K

VELOCITY

OF SOUND

M/S RAR/K 3AR-Cm3/G

31*. 169 9.80 -168.0 811. 7 6.28 6.65 3. 16 256'« 15.71. 53539

35 9. 82 -1 63 .6 318.5 6 . i+a 6 .71 3. 26 2561 15.64 5331it

36 9. 85 -158.1 326 . 9 6.72 6 .79 3.33 2558 15.5? 53035

37 9.88 -1 S2 .5 835 . 3 6.95 6 . 86 3. k<i 255'» 15. 'O 527it9

38 9. 91 -l'»6 .8 SI*?. 3 7.17 6.93 8. 59 2550 15.28 52<»56 39 9. 9i« -I'tl .0 852 .5 7 . i+O 6.99 3.68 25'46 15.16 52157

9. 96 -135.2 861.2 7.62 7 . 01* 8.78 25i»l 15. Of* 51852

1 0. 02 -123.2 8 7 3.9 8. J5 7. 15 3.95 2533 li^.S 0 5 1225

lit* 10.08 -1 11 .0 897.0 8 . 1*7 7.25 9.13 2523 1'«.57 5 05 81

ue, 10. li* -98.9 9114 . 9 8.87 7.39 9. 3i. 2511 i»9922

1*6 10.20 -86 . 0 933.8 9.27 7.51 9.53 2500 If*. 11 1*9251

50 10.26 - 72 .7 953. 0 9.66 7.62 9.71 2'*88 13.89 if8573 55 10. 1*1 -33 .<< 10 02 . 7 10.61 7.87 10. li* 2'»'^7 13.36 <»6862

6G 10.57 -2 .

1

105'*.6 11.51 8.08 10.53 2i»26 12.86 '»5165 65 10.73 35 . 5 110 3.3 12. 37 3 . 31 10. 95 2Z91* 12.38 '3523

70 10. 89 It* . 7 US'*.! 13.20 8.59 2360 11.92 '.1969

75 11. 07 115.3 1222.3 i<» . a 0 8.90 11. 38 2326 11. '7 '05 3'*

80 11. 21* 158.9 1283 . 0 11.. 79 9. 25 12. 39 2291 11.02 39238

85 11. 1*2 20'^. 2 131.6.2 15.55 9.61. 12. 90 2258 10.59 38097

90 11.60 2 U .7 11.12. 0 16. 31 10.01. 13. 1.1 2226 10.16 37111. 95 11.79 301.1* 11.80 . 3 17.01. 10 .1.5 13.90 2196 9.73 36281. 100 11.98 3 53 .1. 1550.9 17.77 10 . 36 11.. 36 2169 9.31 35592

110 12. 35 1.65.2 1700.3 19.19 11 .72 15. 2 3 2118 8.50 31.527 120 12.76 581. . C 1860.2 20 . 58 12.33 16.20 2P88 8.07 3331.9 130 13.15 7 0 9.3 2021.. 7 21.90 12.91 16. 81. 2050 7.50 32233

1<.Q 13. 55 839.'. 2191.. 6 23. 16 13.23 17.25 2039 7.0 3 31990

150 13.96 972 .6 2363 .

5

2'.. 36 13.50 17.50 2030 6.60 31779

160 li». 37 1107.6 251.1. . 7 25. 50 13.59 17.53 2031 6.18 31975

170 li^. 77 12 1.2 . « 2719. 9 26. 56 13. 53 17.50 20 21 5.79 31698

180 15.17 1377 .1. 2891. . 2 27.55 13.1.9 17.1.2 20 05 S.i+i. 311'.7 190 15.57 15 10 . 7 3067.3 28.1.9 13.35 17.1+7 1968 5.11. 29608

200 15.98 16 1.2 .

1. 3239.9 29. 37 13.13 17. 36 1971 '..91 29505

220 16. 8'^ 1900.9 3585. 1 31.02 12.32 17.09 1981 1..1.9 29'.23

2<.0 17.68 2 1 52 . 6 3920.9 32.1.8 12.1.3 16. 60 2026 '..12 30868

260 18.52 2397.8 1.21.9. 6 ^3.30 12.20 16. 26 201.1. 3.78 31326

280 19. 3'4 2637.5 1.571. 7 31.. 99 11.98 16. 00 2057 3.1.9 3169C

300 20.16 28 72 .9 1.889. 2 36 . 09 11.81 15. 80 2069 3.21. 31993

TWO PHASE BOUNDARY

100
NBS-1 14A (REV. 7-731

U.S. DEPT. OF COMM. BIBLIOGRAPHIC DATA

SHEET

1. PUBLICATION OR REPORT NO. NASA SP-3088 and NBSIR 1

2. Gov't Accession

No. 4-374

3. Recipient's Accession No,

4. TITLE AND SUBTITLE Thermodynamic and Related Properties of Parahydrogen

from the Triple Point to 300 K at Pressures to 1000 Bar

5, Publication Date March 1975

6. Performing Organization Code

7. AUTHOR(S)

L, A. Weber

8. Performing Organ. Report No.

9. PERFORMING ORGANIZATION NAME AND ADDRESS

NATIONAL BUREAU OF STANDARDS

DEPARTMENT OF COMMERCE

WASHINGTON, D.C. 20234

10. Project/Task/Work Unit No. 2750547

11. Contract/Grant No. C-32369-C Amend.

No, 2

12. Sponsoring Organization Name and Complete Address (Street, City, State, ZIP)

National Aeronautics and Space Administration

Lewis Research Center, Mail Stop 301-1

Cleveland, OH 44135

13. Type of Report & Period Covered Final

14. Sponsoring Agency Code

15. SUPPLEMENTARY NOTES

16. ABSTRACT (A 200-word or less factual suirmtary of most significant information. If document includes a significant bibliography or literature survey, mention it here.) NBS compressibility measurements and thermodynamic properties data for

parahydrogen have been extended to higher temperatures and pressures. Results

of an experimental program are presented in the form of new PVT data in the

temperature range 23-300 K at pressures up to 800 bar. Also given are tables

of thermodynamic properties on isobars to 1000 bar including density, internal

energy, enthalpy, entropy, specific heats at constant volume and constant pressure,

velocity of sound, and the surface derivatives (dP/d T)^ and (dP/dp)ry. The accuracy

of the data is discussed and comparisons are made with previous data.

17. KEY WORDS (six to twelve entries; alphabetical order; capitalize only the first letter of the first key word unless a proper name; separated by semicolons

)

Density; enthalpy; entropy; hydrogen; properties of fluids; specific heat;

velocity of sound.

18. AVAILABILITY [^Unlimited

I For Official Distribution. Do Not Release to NTIS

I

' Order From Sup. of Doc, U.S. Government Printing Office Washington, D.C. 20402, SD Cat. No. C13

I ! Order From National Technical Information Service (NTIS)

Springfield, Virginia 22151

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(THIS REPORT)

UNCL ASSIFIED

20. SECURITY CLASS

(THIS PAGE)

UNCLASSIFIED

21. NO. OF PAGES

22. Price

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