NATIONAL BUREAU OF STANDARDS REPORT

2611

THERMODYNAMIC PROPERTIES OF MOLECULAR OXYGEN

tv

Harold ¥, Woolley

Themodynamics Section

Division of Heat and Power

U. S. DEPARTMENT OF COMMERCE

NATIONAL BUREAU OF STANDARDS
U. S. DEPARTMENT OF COMMERCE

Sinclair Weeks, Secretary

NATIONAL BUREAU OF STANDARDS

A. V. Astin, Director THE NATIONAL BUREAU OF STANDARDS

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NATIONAL BUREAU OF STANDARDS REPORT

NBS PROJECT NBS

0302-50-2606 June 30, 1953 2611

THERMODYNAMIC PROPERTIES OF MOLECULAR OXYGEN

Harold VI, Woolley

Thermodynamics Section

Division of Heat and Power

Sponsored in part by

Rational Advisory Committee for Aeronautics

Order No. W-5594

The publlcatloni t

unleti permission

25. D.C. Such

prepared f that

Approved for public release by the

Director of the National Institute of

Standards and Technology (NIST) on October 9, 2015

In part, Is prohibited

tandards, Washington

has been specifically

port for Its own use.

1
FOREWORD

This is one of a series of reports on the thermodynamic properties

of gases compiled at the National Bureau of Standards at the suggestion

and with the cooperation of the National Advisory Committee for Aeronautics. Advances in methods of propulsion and the high speeds attained thereby have emphasized the importance of accurate data on thermal

properties of wind-tunnel and jet-engine gases. It has been the purpose

of the project on thermal properties of gases to make a critical compilation of existing published and unpublished data, and to present

such data in convenient form for application. The dimensionless character of the tables and their general format should facilitate calculations in aerodynamics, heat-transfer, and jet-engine problems. The

work was conducted under the supervision of Fir. Joseph Hilsenrath by

members of the Thermodynamics Section, Division of Heat and Power.

C. W. Beckett, Chief

Thermodynamics Section

^ UJiLteY)

R. E. Wilson, Acting Chief

Division of Heat and Power

ii
TAELS OF CONTENTS Page

Foreword , . ii

Table of Contents iii

Summary 1

I Introduction 3

II SytbolS 6

III The experimental data of state for oxygen 11

IV Comparison of derived quantities with the experimental data , 13

V The calculation of the tables IS

VI Conclusion 19

VII References 20

Figure 1 - FVT data for oxygen 23

Figure 2 - Heat of vaporization of liquid oxygen 24

Table 9*01 - Entropy of oxygen vapor at boiling point .••••••••«.«••• 25

Appendices

Table 9*10 Specific heat enthalpy and entropy of molecular o:ygen

in the ideal gas state.

Table 9.11 Free energy of molecular oxygen in the ideal gas state.

Table 10.10 Specific ' eat, nthalpy, and entropy of e’xraic oxygen

in the ideal gas state.

Table 10.11 Free energy of atomic oxygen in the ideal gas state.

Table 9 .IS Density of ’r.olecular oxygen.

Table 9*20 Compressibility factor for molecular oxygen.

Table 9.22 Enthalpy and entropy of molecular oxygen.

Table 9*24 Specific heat of molecular oxygen.

Table 9.26 Specific heat ratio jf molecular oxygen.

Table 9*32 Sound velocity in molecular oxygen.

Table 9.39 Viscosity of oxygen.

Table 9*42 Thermal conductivity of oxygen.

Table 9*44 Prandtl number of oxygen.

Table 9.50 Vapor pressure of oxygen.

Table 1,30 Conversion factors.

Temperature interconversion table.

iii
i - , ,

.
SUMMARY

The tables of thermal properties of molecular oxygen prepared

for the NBS-NACA series are grouped together here for convenience

in use. These tables include thermodynamic functions for the gas,

both real and in the hypothetical ideal gas state, the transport

properties of the gas, and the vapor pressure of the liquid. The

ideal gas properties are given in tables 9*10 and 9.11. These

include specific heat at constant pressure, enthalpy, entropy and

the free energy function. For possible use with them, tables 10,10

and 10.11, giving the same properties for atomic oxygen, are also

included. The real gas thermodynamic properties for molecular

oxygen are given in tables 9. IS to 9.32 and include density, the

compressibility factor or PV/RT, entropy, enthalpy, specific heat

at constant pressure, the ratio of specific heats or Cp/Cv, and

the velocity of sound at very low frequency. For tables 9.1S to

9.32, the tabular entries correspond to pressures of 0.01, .1, .4,

.7, 1, 4, 7, 10, 40, 70 and 100 atmospheres. The temperature range

covered is from 100°K or slightly higher, up to 3000°K. The method

of correlation of the PVT data allows the calculation of approximate

values for temperatures much higher than used in obtaining the

experimental data. This is due to the determination of a reasonable

representation of interaction energies between molecules, based on

an over-all fitting of the available data.

-1-
The vapor pressure for liquid oxygen is given in table 9*50 "with

values at every 5 degrees from 55° K to 150°K for rapid use for these

temperatures or "when rough interpolated values are adequate. In a

second part of the table, values of log^o? are tabulated more closely

with uniformly spaced values of l/T, permitting very accurate interpolation.

The viscosity, thermal conductivity and Prandtl number are

given in tables 9»39, 9*42, and 9*44 respectively. The viscosity is

tabulated for atmospheric pressure over the temperature range 100°

K

to 2000°K using the treatment of Hirschfelder, Bird and Spotz [17]

for the Lennard-Jones 6-12 potential with the parameters s/k = 100°K

and b

Q ® 54.1 cm^ mole"^chosen to fit the experimental data approximately over their entire range. The thermal conductivity was calculated from a purely empirical equation fitted to the experimental

data, and the Prandtl number was computed in a straight-forward

manner from these and the specific heat values.

• 2<
I INTRODUCTION

This set of mutually consistent tables of thermodynamic properties of gaseous oxygen has been computed with the data of state

represented by a pressure series xdiose temperature dependent coefficients and their derivatives were used to calculate the derived

thermodynamic properties. As the experimental PVT data are more

abundant than other relevant data, cover a wider range of temperature and pressure^ and are usually dependable, the equation of state

forms an appropriate starting point for the calculation of the

entire field of thermodynamic properties.

In the representation of the PVT data for the NBS-NACA Tables,

the objective was taken of covering adequately the limited range of

pressure from zero to a maximum of 100 atmospheres and of temperature from a minimum of 100° K upward through the atmospheric and

experimental range with a suitable extrapolation to high temperatures, but omitting the effect of dissociation. A discussion of the

effects of dissociation is given in an earlier report [333 • As the

tables were to be tabulated in terms of pressure for convenience of

use, it seemed appropriate to make the correlation directly in terms

of pressure. For most of the range of pressure and temperature desired, the simple equation

Z = PV/RT = 1 + B-jP + C-^2

+ D

X

P

3

appeared to be adequate. Here the coefficients B^_, C^, and D^,

are functions of the temperature and are related to the virial

coefficients in the analogous equation in powers of reciprocal

-3-
volume. As the equation was found not to fit as well as desired at

the lowest temperatures for elevated pressures, the table entries

have been limited to low pressures at low temperatures.

The pressure corrections to the various thermodynamic properties were determined theoretically from the correlation of the

data of state. These were combined with values of properties for

the ideal gas to obtain the complete real gas properties as given

in tables 9.22 to 9.32. Many details concerning the actual computations will be found in later sections of this report and in the

discussions of tables 9.20 to 9.32. Details concerning the calculation of the thermodynamic functions for the ideal gas will be

found in the references given in tables 9.10 and 9.H.

The tables are given in dimensionless form and conversion

factors to some frequently used units are given at the end of each

table. The pressure intervals were chosen to facilitate Lagrangian

interpolation of the tables. When linear interpolation in pressure

is strictly valid, values for intermediate pressures have in some

cases been omitted. Deviation plots have been included which indicate the agreement or discordance of the experimental data. The

plots are also useful for showing the range and abundance or paucity

of the experimental data for oxygen.

The tables were prepared in loose-leaf form to permit their

prompt distribution to research workers. Close proximity between

the tables and related conversion factors, text material and

-4-
deviation plots was sought. For convenience in preparation and use

the existing loose leaf tables are brought together as the concluding por ion of this report. The body of the report contains a general review of the experimental data and additional miscellaneous

tables and charts pertaining to the correlation procedure and the

final quality of the representation.

-5-
II SYl'SBOLS

Symbols Definitions Units and Dimensions

A

a

a

0

B

(r)

Stand B»t

b

o

b

3

C

cp

Abbreviation for Angstrom, unit of

length

Sound velocity at low frequency

Sound velocity at standard conditions

Second virial coefficient in the

l/V series - a function of

temperature

Second virial coefficient function = B/b

0

Coefficient of P in the pressure

series for PV/RT

TdB/dT and T

2d

2B/dT2

Characteristic parameter of the

Lennard-Jones interaction

potential

b

Q

for pairs alone as distinct

from pairs in larger clusters

b

Q for pairs within a cluster

of three

Third virial coefficient in the

l/V series, a function of

temperature

Third virial coefficient function

9 - C/bg in simple theory

Coefficient of P

2 in the pressure

series for PV/RT

Heat capacity at constant pressure

10"^cm

—1 -

m sec , ft sec

'

314*02 m sec"ij1032.9 ft sec“^

cm^ mole"-'-

uimens ionless

atm"-'-

cm-^ nole"b

cm.3 mole"-'-

54*7 cm^ mole'"''-

40,10 cm-^ mole**^

(cm^ mole"-1-) 2

Dimensionless

atm”2

various

-6-
Symbols Definitions Units and Dimensions

G° Heat capacity at constant

pressure for the ideal gas

various

C

V

Heat capacity at constant

volume

various

C°

V

Heat capacity at constant

volume for the ideal gas

various

D Fourth virial coefficient in

the l/V series, a function

of temperature

(cm^ mole”^)^

D

1 Coefficient of p’ in the pressure

series for PV/RT

atm"’

E Internal energy for one mole of

gas

[S is also used for the fifth

virial coefficient]

various

v°% Internal energy for one mole of gas in

standard ideal gas state at 0°K. Seine as Hq, the enthalpy for the same condition#

various

A]?° The heat of formation for one mole of a substance in the

standard state from its con- stituents in their standard

states at 0°K. For atomic

o:^ygen, equals half the dissociation energy for diatomic

o:xygen.

various

F Free energy per mole various

i?o Free energy per mole in standard

state [Ideal gas at one atmosphere for gaseous substances]

various

H Enthalpy per mole various

H° Enthalpy per mole in standard

state [Ideal gas at one atmosphere for gaseous substances]

various

-7-
Definitions Units and Dimensions

Enthalpy per mole in standard ideal various

gas state. ’'Same as Eq*

Equilibrium, constant for a (atm) n

chemical reaction

Symbol for degrees Kelvin

Boltzmann constant for proportionality of energy to temperature

Thermal conductivity

Thermal conductivity at

273 .16° K and one atmosphere pressure

Molecular weight

Avogadro 7 s number

Symbol for (one atom of, or

atomic) oxygen

Pressure

Atmospheric pressure

Subscript indicating constant

pressure

Gas constant per mole

Classical distance of closest

intermolecular approach at zero energy according to

Lennard-Jones potential

Entropy for one mole

*38048 X 1CT1j erg deg

cal cm”-1- sec”1 “C"1

5.867X10“- cal cm”-

sec”-*- “C”1

32 gm mole”1

6.02283 X 1023 mole”1

atm, dyne cm”2

1 atm;

IOI325O dynes cm”2

82 . 0567 cm^atm °K~1mole”1

1.9G71S cal deg”1mole”1

8. 31439 abs joule deg^mole”1

3.5I A from B

3,499 A from rcj

various
Symbols Definitions Units and Dimensions

S° Entropy for one mole in

standard state [Ideal gas

at one atmosphere for

gaseous substances]

various

T Absolute temperature degrees K

degrees R

T

0 Temperature at standard

conditions

273. 16°

K

V Volume per mole cni^ mole"**-

V Function in theory of Yiscosity Bimensionless

Y Subscript indicating constant

volume

w. Function in theory of viscosity Dimensionless

X Mole fraction Dimensionless

z Compressibility factor Dimensionless

Zo Compressibility factor at

273 .l6°K and one atmosphere

.99905

oc

Isentropic expansion coefficient,

-V /dP\ = -V fdP\ y

P Hs P Wt6

Dimensionless

y Ratio of specific heats, CD/CV

Dimensionless

s IlkxLmum energy of binding

betxireen molecules with a Lennard-Jones potential

ergs

s/k Characteristic parameter of the

Lennard-Jones interaction

potential

deg K

s

2/k s/k for pairs alone 116° K

s3/k s/k for pairs -within a cluster

of three

124. 7°

K

-9-
Symbols Definitions Units and Dimensions

>1 Viscosity poises,

gm sec"-*- cm”-'- Ho Viscosity at 273 *16°K and

one atmosphere

1919*2 X 10 ‘ poises

V Kinematic viscosity, T|/p 2 -1cm sec

v0 Kinematic viscosity at 273*l6°K

and one atmosphere

.13430 cra^ sec"-^-

P Density mole cirT^ f gm cm“3 also

Amagat units, etc.

p0 Density at 273.l6°K and one atmosphere

4.46564X10”5mole cm“3

1.42900:a0”3g Cm"3

T A reduced temperature, kT/s Dimensionless
Ill TIIE KKPEREIENTAL DATA OF STATE FOR OXTGEN

Tlie experimental PVT data for oxygen extending to elevated

pressure are indicated in Figure 1, The direct experimental values

of Z are represented in the form of V(Z-l) plotted as a function of

density, -with temperatures in degrees Kelvin indicated adjacent to

the plotted points. The deviations of the present correlation from

the experimental points are evident by simple inspection of the graph.

The procedure used in the present correlation in representing the

second and third virial coefficients, related to and in the

pressure series, has been outlined in Ref. [ 32 ]. The method is so

arranged as to permit use of such data as are available on the pressure dependence of internal energy, enthalpy, specific heat and sound

velocity for the fitting of the second virial coefficient and has

been arranged to permit fitting of Joule-Thomson data and PVT data

for both second and third virial coefficients.

The data for oxygen at the ice point and room temperature seem

quite dependable -with measurements by Anagat [2], Holbom and Otto

[IS], Kuypers and Kamerlingh C'nnes [22,25], and van Urk and Nijhoff

[29]. The data of Amagat had their present usefulness mainly as an

indication of the general trend toward higher pressure. The data

of Holborn and Otto, as indicated by Gragoe [ 7 ], are subject to

correction for the effect of stretching of the container at elevated

pressure and for individual pressures and temperatures occurring in

-11-
their evaluation of the amount of substance present for individual

measurements. The points as plotted in figure 1 are thus corrected

and differ slightly from their reported numbers.

The adjustments made in selecting the Lennard-Jones parameters

for pairs and clusters of three included some adjustment of the C-j_

for failure to achieve the best possible low temperature fit of the

B-j-, The limitation to low pressure values at the low temperatures

arises partly from this imperfection of representation. The primary

objective in the present correlation was to represent the higher and

intermediate temperature data for extrapolation to much higher temperatures. The present choice of parameters was a result of these

requirements. A set of parameters more appropriate for the low

temperature region by itself could similarly be arrived at.

In terms of the virial coefficients for 6-12 Lennard-Jones

( 0 ) potentials as tabulated in the dimensionless form B

v ' (T*) and

( 0) C (t) by Bird, Spotz and Hirschfelder [43, the coefficients and

C-, were represented by

B

1

“ b

2

B

^

('T'2)/RT

and

Oi = bj [C (0) (r

3

) - 4 (d (0) (t

3

))

2

]/(et)

2

+ 3 bI

where 7*2 “ RT/E2 an^^3 13 kT/e^

with Eq/h “ 116°K, b2 = 54.7 cm^ nole”R

and e^A “ 124. 7° I, and b^ = 46 . 18 cm3 mole’’3',

was represented empirically as

D-l - -483.037 T-4- + 251430 T-5 - 24.618 X 106 T"6 - 38.42OTf5 T"3

e13rj0/T

.

-12-
PVT data in the low temperature region have been represented -with

a density series using B and C only, by Claitor and Crawford [5] and

by Hall and Ibele [15]. The density is intrinsically more suitable as

a variable in this temperature region, as the pressure becomes particularly inappropriate near the critical point.

IV COMPARISON OF DERIVED QUANTITIES

WITH THE EXPERIMENTAL DATA

Experimental data on heat capacity, entropy, enthalpy, sound

velocity, etc., are too limited in extent to provide a tabulation of

these properties directly. The tabulated values for these quantities

are based on the correlation of the data of state and on the properties for the ideal gas. Thermodynamic properties thus calculated from

good PVT data can be expected to agree well with good direct experimental data for the various quantities. This section presents a comparison of derived thermodynamic quantities with corresponding experimental data.

One single determination of the dependence of the internal energy

of gaseous oxygen upon the pressure is given in the work of Rossini

and Frandsen [26] for the pressure range zero to 40 atmospheres at

2S°C. Their value was -6.51 joules atm”-1- mole”-1-. The corresponding

theoretical value for the dependence at zero pressure according to

the present correlation is -6.41^ joule atm”-1- mole”-1-. The average

value over the range zero to 40 atmospheres obtained by combining

-13-
values in Tables 9.10, 9*20 and 9.22 is approximately -6.55 joules

atm”-1

- mole"-*-. The average value as obtained hj Meyers [ 23 ] based on

his correlation of PVT data for oxygen is-6.47 joules atm"-*- mole"-*-.

The specific heat at constant pressure near atmospheric pressure

was measured by Henry [ 16 ] using a flow method involving measurement

of the lack of symmetry of temperature along a uniformly heated flow

tube. He claimed an accuracy of no more than one percent except at

20°C where an accuracy of l/2 percent was suggested. His results,

given as specific heat at constant volume, have been read from his

graph and are shown in Figure 1 of Table 9.24 as departures from the

table values after reconversion to give the measured specific heat

at constant pressure. His smoothed table of values has similarly

been used to compute values for constant pressure which are shown

in this graph by the dashed curve.

Values for the specific heat of gaseous oxygen were reported

jj by Eucken and v, Lude [ 10 ], obtained with the method of Lummer and

Pringsheim based on the isentropic cooling during expansion. In

this procedure, the formula

C = R [Z + T ( 02/ dT) p ] (d In P/d In T) 0

I-' x D

t? applies. Eucken and v. Lude used PVT data of Holbom and Otto to

evaluate the linear dependence on pressure of Z + t ( t>z/ in)

Points indicating their reported values of Cp at one atmosphere and

302. o°K, 3ol.2°IC and 47^. 9° H are shom in Figure 1 of Table 9.24.
Values for the specific heat of o;;ygen obtained by Wacker, Cheney

and Scott [30] with a flow calorineter at -30°C, 40.04°C and 90°C are

also shown in this figure.

Values for the specific heat of oxygen computed from the sound

velocities observed by Shilling and Partington [27] have also been

included. These show large departures from theoretical values at

elevated temperatures.

Measurements of the specific heat of gaseous oxygen at constant

pressure were reported by Workman [34] for 26*3 and 60°C for pressures

from 10 kg/cm^ to 130 kg/cm , or from 9.63 atm to 125,8 atm. In

figure 2 of Table 9.24 his results are shown converted to the form of

the ratio of specific heat observed to the specific heat of the ideal

gas. The curves adjacent to the experimental points are the corresponding theoretical values based on the present correlation of the PVT

data.

Measurements on the velocity of sound in gaseous oxygen in the

temperature range 77°K to 90° K have been reported on by Keesom, van

Itterbeek and van Larameren [20] and by van Lammeren [28], While the

theoretical values agree fairly well with their results, the comparison is omitted from the present report on the basis that the PVT data

on which the present tables are based are for higher temperatures.

Values for the velocity of sound in oxygen were obtained by

Shilling and Partington [27] and by King and Partington [21] using a

Kundt f s tube. Their results are shown in Figure 1 of Table 9.32 as

percent departures from the table, using sound velocity (a) directly

-15-
as measured and (b) relative to the velocity of sound in air, -with

the plotted points based on this observed ratio combined -with the

velocity in air at one atmosphere as given in Table 2.32 of the

present series of MBS-KACA tables. It may be seen that the departures from the theoretical values are reduced somewhat by making

the comparison on the basis of the ratio of the velocity of sound

in oxygen to that in air.

The heat of vaporization of liquid o:ygen is shown in figure 2,

taken from the report by Furukawa and McCoskey [13] on air, oxygen,

and nitrogen. Their new measurements as adjusted to the nearest

tenth of degree in temperature, using the thermochemical calorie,

give the values:

A comparison of the calorimetrically determined entropy for

gaseous oxygen at the boiling point with the entropy as calculated

statistically from spectroscopic data is shown in table 9.01. The

calorimetric data are from Giauque and Johnston [14], with the

adjustment to the newer values of boiling point and latent heat

shorn for the calorimetric value and with the entropy based on the

values of table 9.10® The estimated correction for non-ideality

1773 »0 cal mole”?'

I727.0 cal mole**

1674.2 cal mole"*..

1622.9 cal moleTM

and at the boiling point of 90.19°k, 6824.3 abs j mole”~, or

1631.2 cal mole ^ by interpolation.

-16-
at the boiling point on the basis of the extrapolation of the present

P and P coefficients is also given* Although the previous comparison

of calorimetric and spectroscopic entropy -was fairly satisfactory, in

that the discrepancy 'was only ,06 entropy units with an uncertainty

given as 0.1 entropy units, the new comparison gives an even closer

agreement, to about ,02 entropy und.ts.

-17-
V CALCULATION OF THE TABLES

The thermodynamic quantities tabulated in this report were computed numerically from the coefficients of the equation of state » The

following formulas were used;

Z = PV/RT = 1 + BjP + C^P2 + D-jP3

S/R = 3°/R - k In P - (B1

+ TdB-j/dT)? -1& (Op + TdC-|/dT)P2

- 1/3 (D1

+ TdDj/dT)?3

H/RT = H°/RT - T (d3-,/c ’I)P - l/2 T (dC1/d’T)P2

- 1/3 T (dDiL/dT)p3

C /R = Cp/R - [2TdB-]/dT + T

2d

2

B-

| /dT2 ]P

- 1/2 I^TdCp/dT + T2d

2C1/dT2 ]P2

- 1/3 [2TdD-j/dT + T2d2D1/dT2 ]p3

Cp-CV „

[Z + T (az/3T)p'J2

e cz - p ( sz/a p) ] = [1 + (B1

'fTdB1

/dT) P + (Cp+TdCp/dT)?2 + (Di+TdDi/dt)P3 f

'

[ 1 - C-,P2 - 2 D1P3 ]

-IS-
VI CONCLUSION

The uncertainty of the tabulated density and compressibility

and of the various derived properties for oxygm is discussed in

the text adjacent to each table. The region in which the data are

most dependable is probably near room temperature. The extensive

data below room temperature are thought to be nearly as dependable.

For the higher temperatures there is some lack of agreement between

the results of Holborn and Otto and of Amagat for oxygen, so that

this region may be regarded as particularly less certain. In the

region immediately above and below the ice point the correlation

is fitted fairly closely to the data, with an uncertainty probably

not exceeding 0.1 percent in PV/RT or about 10 percent of the

difference between real and ideal values. The uncertainty is larger

at both higher and lower temperatures due to imperfections of theory

and data. The derived pressure corrections to thermodynamic properties are in general less accurate, because in the differentiation

• process errors are propagated with a large increase. The corresponding experimental determinations are frequently inaccurate. The knowledge of the properties of oygen can be improved by better experimental measurements., Increase of the experimental range, and by

improvement of applicable theory.

-19-
VII REFERENCES

t? n tr [1] H. Alt, Uber die Verdampfungswarmendes flussigen Sauerstoffs und

flussigen Stickstoffs und deren Anderung mit der Temperatur,

Ann. Physik 12, 739(1906).

[2] E, H. Amagat , Memoi.*es sur 1 T elasticity et la dilatabilite^ des

fluides jusqu’aux tres hautes pressions, Ann. chim. phys. 29 . 63(1393).

jj n [3] H. Barschall, Uber die Verdampfungswarme des Sauerstoffes,

Z. Elektrochem. 12, 345(1911).

[4] R. B. Bird, E. L. Spotz and J. 0. Hirschfelder. The Third Virial

Coefficient for Lion-Polar Gases, J. Chem. Phys. 13. 1395(1950).

[5] L. C. Claitor and D. B. Crawford, Thermodynamic Properties of

Onygen, Nitrogen and Air, Preprint American Society of Mechanical Engineers, Tome Scientific School, University of

Pennsylvania, p. 3# Nov. 19 (1943).

[6] K. Clusius and F. Konnerbz, Ergebnisse der Tieftemperaturforsetting - VI. Kb lorimetrische Messungen der Verdampfungsi jarme

des Sauerstoffs bei normalem Druck some des Aethylens und

Propylens unterhalb und oberhalb vom Atmospharendruck,

Z. Naturforsch. 4A.« 117(1949).

[7] C. S. Cragoe, Slopes of pv Isotherms of He, Ne, A, Up, Np and O2

at 0°C, J. Research Nat. Bur. Standards 26, 495(1941) RP-1393.

[3] L. I. Dana, The Latent Heat of Vaporization of Liquid OnygenNitrogen Mixtures, Proc. Am. Acad. Arts Sci. 60, 241(1925).

[9]

J. Dewar, Studies with the Liquid Hydrogen and Air Calorimeters,

Proc. Roy. Soc. (London), 761 . 325(1905).

[10] A. Eucken and K. v. Lude, Die spezifische Warme der Gase b^i

mittleren und hohen Temperaturen. I. Die spezifische Warme

der Gase: Luft, Stickstoff, Sausrstoff, Kohlenoxyd, Kohlensaure,

Stickoxydul und Methan zwischen 0° und 220°C. Z, physik. Chem.

12, 413(1929).

tf [11] A. Eucken, Uber das thermische Verhalten einiger Komprimierter

und Kondensierter Gase bei tiefen Temperaturen, Verhandl. deut.

physik. Ges. 13, 4(1916).

-20-
[ 12 ]

:i n A. Frank and K. Clusius, Prazisionsmessungen der Verdampfungswarme

der C-ase Op, IIpS, PHo, A, COS, GH/ und CHoD, Z. physik, Chem,

m, 395(1939).

[13] G. T. Furukawa and R. E. McCoskey, The Condensation Line of Air

and the Heats of Vaporization of Oxygen and Nitrogen, Technical

Report to National Advisory Committee For Aeronautics, Report

1775, National Bureau of Standards (1952).

[14] W, F. Giauque and H, L. Johnston, The Heat Capacity of Oxygen

from 12°K to its Boiling Point and its Neat of Vaporization.

The Entropy from Spectroscopic Data, J. Am. Chem, Soc, 51,

2300(1929).

[15] N. A, Hall and W. E. Ibele, Thermodynamic Properties of Air,

Nitrogen and Oxygen as Imperfect Gases, Technical Paper of the

University of Minnesota Institute of Technology, Engineering

E:qperiment Station, Technical Paper No, 35, December (1951)

»

[16] P. S. H. Henry, The Specific Heats of Air, Oxygen, Nitrogen from

20°C to 370°C, Proc. Roy, Soc, (London) A133 , 492(1931).

[17] J. 0. Hirschfelder, R. B, Bird, and E. L, Spots, Viscosity and

other physical properties of gases and gas mixtures, Trans,

ASME A3, 921(1949).

n [18] L. Holborn and J. Otto, Uber die Isothermen einiger Gase zwischen

400° und -183°, Z. Physik 23>, 1(1925).

[19] W. H. Keesom, The Heat of Vaporization of Hydrogen, Commun, Phys.

Lab, Univ. Leiden, No, 13 7e (1914)

•

[20] W. H. Keesom, A. van Itterbeek, and J. A, van Lammeren, Measurements about the velocity of sound in oxygen gas, Proc. Acad.

Sci. Amsterdam 3/-., 995(1931)) Leiden Comm. 216 d.

[21] F. E. King and J. R. Partington, Measurements of Sound Velocities

in Air, Oxygen, and Carbon Dioxide at Temperatures from 900°C

to 1200° C •with Special Reference to the Temperature Coefficients

of Molecular Heats, Phil. Mag. £, 1020(1930).

[22] H. A. Kuypers and H, Kamerlingh Onnes, Isothermes de substances

diatomiques et de leurs melanges binaires XXII. Isothermes de

l T oxygene a 0° et 20°C. Leiden Comm. No. 165a (1923). Also

see ref. [25]

.

-21-
[23] C. H. Meyers, Pressure-Volume-Temperature Data for Oxygen,

J. Research Nat. Bur. Standards 40 . 457(1943) RP-I89I.

[24] G. P.Nijhoff and W. H. Keesom, Isotherms of di-atomic substances

and tneir binary mixtures XXXIII. Isotherms of oxygen between

-40° C and -152 » 5° C and pressures from 3 to 9 atmospheres.

Leiden Comm. No. 179b (1925)*

[25] H. K. Cnnes and H. A. Kuypers, Isotherms of diatomic substances

and their binary mijrtures. XXV. On the isotherms of oxygen

at low temperatures. Leiden Comm. No, 169a (19?U)*

[26] F. D. Rossini and M. Frandsen, The Calorimetric Determination

of the Intrinsic Energy of Gases as a Function of the Pressure.

Data on Oxygen and its Mixtures with Carbon Dioxide to 40

Atmospheres at 23° C , J, Research Nat. Bur. Standards £,

733(1932) HP-503.

[27] W. G. Shilling and J. R. Partington, Measurements of the Velocity

of Sound in Air, Nitrogen and 0:iygen, with Special Reference

to the Temperature Coefficients of the Molecular Heats,

Phil. Mag. 6, 920(1928).

[28] J. A. van Lammeren, Second virial coefficient and specific heats

of oxygen, Leiden Comm. Supplement No. 77° , also Physica 2,

333(1935).

[29] A. Th. van Urk and G. PJJijhoff, Isotherms of diatomic substances

and their binary mixtures. XXVII. On the isotherms of oxygen

at 20°, 15.3° and 0°C. leiden Comm. 169c (1925).

[30] P. F. Lacker, R. K. Cheney and R. B. Scott, Heat Capacities of

Gaseous Oxygen, Isobutane, and 1-butene from -3O0 to 90°.

J. Research Natl. Bur. Standards 2$, 651-9(1947) HP-1804.

[31] G. Witt, Uber die Verdampfungswarme flussiger Luft, Arkiv Mat.

Astron. Fysik 2> No. 32(1912).

[32] H. W. Woolley, The Representation of Gas Properties in Terms of

Molecular Clusters, J. Chem. Phys. 21, 236(1953)*

[33] H. W. Woolley, The Effect of Dissociation on the Thermodynamic

properties of Pure Diatomic Gases, Report 1884,. National Bureau

of Standards, (1952).

[34] E. J. Workman, The Variation of the Specific Heats (C ) of Oxygen,

Nitrogen and Hydrogen with Pressure, Phys. Rev. *1345(1931)

.

-22-
<i>cAMiS£AF:

moles/cc

HEAT OF VAPOR!£ATSON, B.T.U. !b"'

24

TEMPERATURE,

®K

FIG.

2.

TABLE 9.01 Entropy of Oxygen Vapor at Boiling Point

Calculation Using 90,13°K as Boilin/t Point (1)

S for liquid at 90.13°X 22.49U u. (1)

at 90. 13 8 K = 1620.0/90.13 10.07 a)

S for vap. 40.57 (1)

S° spect. for gas 40.679

s°~s = ,:i E.

Calculation Using 90,19° T ’ as Boi] 1 r; Point (2)

S for liquid at 90.13°X 22.490 E. u. (1)

(^90 . 19°K

~ ^90 .] 3

^ ^or -'-^-Euid .009 „ 12.96X. 06 from

90:15

(1)

S for liquid at 90.19°X 22.507

A3 ar at 90.19°K = 1631.2/90.19 10.006 (3)

S for vap. 40,593

S° spect* for gas 40.604

S°-S = .091 E. U.

Eerthelot correction, S°-S = *17 V e U.

o Entropy correction using P and P terrns of present correlation

(S°-S) = .100 P + . 004s P

2

or .105 E. U, for P

'= 1 atm

7 U # J. 7 i'i.

( 1) Criauque and Johnston

(2) Hoge, Table 9.50-

( 3 ) Furukana and IlcCoskey

-25-

U. S. DEPARTMENT OF COMMERCE

Charles Sawyer, Secretary NATIONAL BUREAU OF STANDARDS

E. U Condon, Director

THE NBS-NACA TABLES OF

THERMAL PROPERTIES OF GASES

Table 9.10 Molecular Oxygen (Ideal Gas State)

July 1949

Specific Heat, Enthalpy, Entropy

C°/R, (H° — E°)/RT0 , S°/R

compiled by Harold W. Woolley

FOREWORD

This is one of a series of tables of Thermal Properties of Gases being compiled at the National Bureau of Standards at the suggestion and with the cooperation of the

National Advisory Committee for Aeronautics. Recent advances in methods of propulsion and the high speeds attained thereby have emphasized the importance of accurate

data on thermal properties of wind-tunnel and jet-engine gases. It is the purpose of the

project on Thermal Properties of Gases to make a critical compilation of existing published and unpublished data, and to present such data in convenient form for application.

The loose-leaf form has been chosen as being most convenient, and revisions are anticipated as new data become available.

The dimensionless character of the tables and their general format should facilitate

calculations in aerodynamics, heat-transfer, and jet-engine problems. Suggestions for the

extension or improvement of these tables are desired as well as information regarding

unpublished data. Information and other correspondence regarding these tables should

be addressed to Joseph Hilsenrath, Heat and Power Division, National Bureau of Standards. This table is also available on IBM punched cards.
°K Cp KX). o s °R °K

r°L

p (H

°- Eo) S° °R

R RT0 R R RT0 R

10

20

30

40

50

60

70

80

90

100

110

120

130

140

150

160

170

180

190

200

210

220

230

240

250

260

270

280

290

300

310

320

330

340

350

360

370

380

390

400

3.5423

3.5145 3.5077

3.5044

3.5029

3.^ 023

3.5019

3.5016 3.5015

3.5014_

3.5013 3.5013_

3.5012, 3.5013

3.5013. 3.5015

3.5017

3.5020

3.5025

3.5032

3.5042 3.5056

3.5073 3.5095

3.5122

3.5155

3.5193 3.5238

3.5288

3.5344

3.5407

3.5476 3.5551

3.5631

3.5717 3.5807

3.5902

3.6002

3.6105

3.6212

-278 - 68 - 33 - 15

6

4

3

11

10

11

0

2

235

7

10

141722

27

33

38

45

5056

63

6975

8086

90

95 100 103

107

0.1222

0.2513 0.3798

0.5081

0.6364 0.7646 0.8928

1.0210

1.1492

1291 1285

1283 1283

1282

1282 1282

1282

1282 1-2774 1282

1.6619 1*5337 £

f8 1.7 9 01 1282 1.9183

2.0464 2.1746 2.3028

2.4310

2.5593 2.6875 2.8158

2.9442 3.0726

3.2012 3.3298

3.4586

3.5875

3.7166

3.8459 1295 3.9754 129? 4.1051 1300 4.2 3 51 1303 4.3654 1306

1281 1282

1282

1282 1283

1282

1283

1284 1284 1286

1286

1288

1289

1291 1293

4.4960

4.6269 4.7582

4.8898

5.0218

5.1542

1309

1313 1316

1320

1324

12.7490

15.1937 16.5980

17.6256

18.4116 19.0461

19.5837 20.0535

20.4656

20.8348

21.1684 21.4732

21.7534

22.0129

22.2545

22.4804

22.6927 22.8929

23.0823

23.2619

23.4329 23.5959

23.7518

23.9011

24.0444

24.1822 24.3150

24.4430

24.5668

24.6865

24.8025 24.9150

25.0243

25.1305

25.2340

25.3347

25.4329 25.5288

25.6224

25.7140

24447 14043

10276 7860

6345 5376

4698 4121

3692

3336 3048

2802

2595 2416

2259

2123 2002

1894 1796

1710

1630

1559 1493

1433

1378

1328

1280 1238

1197

1160

1125

1093

1062

1035

1007

982 959 936

916

1836

54

72

90

108

126

144

162

180

198

216

234

252

270

288

306

324

342

360

378

396

414

432

450

468

486

504

522

540

558

576

594

612

630

648

666

684

702

720

400

410

420

430

440

450

460

470

480

490

500

510

520

530

540

550

560

570

580

590

600

610

620

630

640

650

660

670

680

690

700

710

720

730

740

750

760

770

780

790

800

3.6212

3.6322 3.6435 3.6550

3.6668

3.6787 3.6907

3.7029

3.7151 3.7274

3.7396 3.7520 3.7643

3.7765

3.7887

3.8008

3.8129

3.8248 3.8366

3.8483

3.8599

3.8713

3.8826

3.8937 3.9047

3.9155

3.9262 3.9367

3.9470

3.9571

3.9672 3.9770

3.9866 3.9961

4.0054

4.0145 4.0235

4.0323

4.0409 4.0494

4.0577

Ano

113

115 118 119

120

122 122

123

122

124

123

122 122

121

121 119

118

117 116

114 113

111 110

108

107

105

103

101

101

98

96

95

93

91

90

8886

8583

5.1542

5.2869

5.4201 5.5537

5.6877

5.8222 5.9571

6.0924 6.2282 63644

6.5011 6.6382 6.7758

6.9138

7.0523

7.1912

7.3306

7.4704 7.6106

7.7513

7.8924 8.0339

8.1758

8.3181 8.4609

1327 1332 1336

1340

1345

1349

1353 1358

1362

1367

1371 1376

1380 1385

1389

1394 1398

1402

1407 1411

1415 1419

1423

1428

1431 ^MO 1436 8.74 76 9 8.8915 1443 9.0358 44 9.18 0 5 1450

9.3 25 5 1454 9.4709 f8 9.6 167 1461 9.7628

4

4

6

fc 9 9093

1468 10.0561 10.2032

10.3507

10.4985 10.6466

1471 1475

1478

1481

1484 10.7950

25.7140

25.8036 25.8912

25.9771

26.0612

26.1438

26.2248

26.3043 26.3823

26.4591

26.5345 26.6087

26.6817

26.7535 26.8242

26.8938

26.9624 27.0300

27.0966

27.1623

27.2271

27.2910

2713540

27.4162

27.4776

27.5383 27.5981

27.6572

27.7156 27.7733

27.8303

27.8867

27.9424

27.9974

28.0519

28.1057

28.1589

28.2116 28.2637

28.3152

28.3662

4

896

876

859

841 826

810 795 780

768

754

742

730

718

707 696

686 676

666

657 648

639

630 622

614

607

598

591

584 577 570

564 557

550

545 538

532

527 521

515 510

720

738

756

774

792

810

828

846

864

882

900

918

936

954

972

990

1008

1026

1044

1062

1080

1098

1116

1134

1152

1170

1188

1206

1224

1242

1260

1278

1296

1314

1332

1350

1368

1386

1404

1422

1440

CONVERSION FACTORS

To Convert Tabulated Values of To The Dimensions Indicated Below Multiply By

C° Q<> P s cal mole " 1 °K" 1

( or°C_1

) 1.98719

R R cal g _1 °K" 1

( or°C" 1

) 0.0620996

joules g

" -1 °K~ 1

( or °C" 1) 0.259825

Btu (lb mole )" 1 °R” 1 (or°F" 1

) 1.98588

Btu lb

" 1 °R" 1

( or °F" 1

) 0.0620587

2
°K c°p K-X) o S °R °K

C° (h°-e°)

R RT0 R R RT0

>R

R

800

850

900

950

1000

1050

1100

1150

1200

1250

1300

1350

1400

1450

1500

1550

1600

1650

1700

1750

1800

1850

1900

1950

2000

2050

2100

2150

2200

2250

2300

2350

2400

2450

2500

2550

2600

2650

2700

2750

2800

2850

2900

4.0577

4.0970 4.1327 4.1652

4.1948

4.2219

4.2469

4.2698

4.2912

4.3112

43300

4.3479 4.3651

4.3815

4.3975

4.4130

4.4282

4.4431 4.4578

4.4724

4.4868

4.5011

4.5153 4.5295 4.5436

4.5576 4.5715

4.5854

4.5993 4.6130

4.6267

4.6404 4.6540

4.6674

4.6808

4.6940 4.7071

4.7200 4.7328

4.7454

4.7579 4.7703 4.7824

A

393 357

325 296

271

250

229

214

200

188

179

172

164 160

155

152 149

147 146

144

143 142

142

141

140

139

139

139

137

137

137 136

134

134 132

131

129 128 126

125

124 121

10.7950

11.5414

12.2946

13.0541

13.8193

14.5896

15.3647

16.1442

16.9278

17.7151

18.5059 19.3002

20.0976

20.8981

21.7016

22.5080

23.3171

24.1290

24.9437

25.7609

26.5&09

27.4036

28.2288

29.0565

29.8869

30.7198

31.5554

32.3935

33.2341

34.0771

34.9227

35.7709

36.6217

37.4747

38.3302

39.1882

40.0487

40.9114

41.7765

42.6440

43.5138

44.3858

45.2601

A

7464 7532

7595

7652 7703

7751 7795 7836

7873 7908

7943

7974 8005

8035

8064

8091 8119

8147

8172 8200

8227

8252

8277

8304 8329

8356

8381 8406

8430

8456

8482 8508

8530

8555 8580

8605 8627

8651

8675 8698

8720

8743

28.3662

28.6134 28.8486

29.0729

29.2874

29.4927

29.6897

29.8790

30.0611

30.2367

30.4062

30.5700

30.7284

30.8819

31.0307

31.1751

313155

31.4519

31.5848

31.7142

31.8404

31.9636

32.0838

32.2013

32.3161

32.4285

32.5385

32.6462

32.7518

32.8553

32.9568

33.0565

33.1543

33.2504

33.3449

33.4377

33.5289

33.6187

33.7071

33.7940

33.8796

33.9640

34.0470

A

2172 2352

2243

2145 2053

1970

1893

1821 1756

1695

1638

1584

1535 1488

1444

1404 1364

1329

1294 1262

1232

1202

1175 1148

1124

1100

1077 1056

1035

1015

997 978

961

945 928

912

898

884

869 856

844

830

1440

1530

1620

1710

1800

1890

1980

2070

2160

2250

2340

2430

2520

2610

2700

2790

2880

2970

3060

3150

3240

3330

3420

3510

3600

3690

3780

3870

3960

4050

4140

4230

4320

4410

4500

4590

4680

4770

4860

4950

5040

5130

5220

2900

2950

3000

3050

3100

3150

3200

3250

3300

3350

3400

3450

3500

3550

3600

3650

3700

3750

3800

3850

3900

3950

4000

4050

4100

4150

4200

4250

4300

4350

4400

4450

4500

4550

4600

4650

4700

4750

4800

4850

4900

4950

5000

4.7824

4.7944 4.8062

4.8177

4.8291

A

120 118

115

114

111 4.8402 uo

4.8512 07 4.8619 1Q 4.8724 103 4.8827 1Q2 4.8929 4.9028

4.9125

4.9220 4.9312

4.9403

4.9491 4.9578

4.9662

4.9744

4.9825

4.9903

4.9979

5.0054

5.0126

5.0197

5.0265 5.0332

5.0397

5.0460

5.0521 5.0580 5.0638

5.0693

5.0746

5.0797

5.0847

5.0896 5.0943

5.0987

5.1028 5.1068

5.1109

45.2601

46.1366

47.0152

47.8961

48.7790

49.6640

50.5509

51.4398

52.3307

53.2236

54.1183

55.0148

55.9130

56.8132

57.7150

58.6183 9050 59.5233

®

60.4301 g

°

0“

613384 g09g 62.2482 9U2

A

8765 8786

8809

8829 8850

8869 8889

8909

8929 8947

8965 8982 9002

9018

9033

63.1594

64.0721

64.9862

65.9022

66.8193

67.7371

68.6561

69.5765

70.4983

71.4217

72.3461

73.2715

74.1976

75.1246

76.0528

76.9827

77.9135

78.8445

79.7760

80.7086

81.6423

82.5770

83.5122

9127

9141 9160

9171 9178

9190

9204 9218

9234 9244

9254

9261

9270

9282 9299

9308

9310

9315 9326

9337

9347

9352

34.0470

34.1289

34.2096

34.2891

34.3675

34.4449

34.5212

34.5965

34.6708

34.7442

34.8166

34.8881

34.9587

35.0285

35.0974

35.1654

35.2327

35.2992

35.3649

35.4299

35.4941

35.5576

35.6204

35.6826

35.7441

35.8049

35.8650

35.9245

35.9835

36.0418

36.0995

36.1566

36.2132

36.2691

36.3246

36.3794

36.4338

36.4876

36.5410

36.5938

36.6461

36.6980

36.7493

A

819

807 795

784

774

763

753

743

734

724

715 706

698 689

680

673

665

657 650

642

635 628

622

615 608

601 595 590

583

577

571 566

559

555 548

544 538

534 528

523

519

513

5220

5310

5400

K 490

5b80

5670

5760

5850

5940

6030

6120

6210

6300

6390

6480

6570

6660

6750

6840

6930

7110

7200

7290

7380

7470

7560

7650

7740

7830

7920

8010

8100

8190

8280

8370

8460

8550

8640

8730

8820

8910

9000

CONVERSION FACTORS To Convert Tabulated Values of To The Dimensions Indicated Below Multiply By

H° - E° cal mole -1 542.821 RT 0 cal g _1 *6.9632 joules g _1 70.9742

Btu (lb mole ) -1 976.437

Btu lb -1 30.5137

3
MOLECULAR OXYGEN

THE PROPERTIES TABULATED

The thermodynamic properties (Specific Heat, Entropy, and Enthalpy)

of molecular oxygen in the ideal gas state are given in dimensionless

form. The properties Cp/R, (H°-E° ) /RT

Q

. , and S°/R are tabulated as functions of temperature, which is given in degrees K and in degrees R. The

values are based on the tables given by Woolley [l] and are for the normal

isotopic mixture.

RELIABILITY OF THE TABLES

The calculations for 02 are based in general on rather precise spectroscopic data, except for some of the high energy states, so that the

tabulated values should be reliable to the next to the last digit given

except at temperatures near 5000°K, where the uncertainties may approach

0.003 in Cj/R, 0.0005 in S°/R, and 0.005 in (H°-E“)/RT 0

. The values of the thermodynamic properties given in this table should

not be used for the actual gas at those elevated temperatures and lowered

pressures at which an appreciable part of the gas is dissociated. At a pressure of one atmosphere and a temperature of 3600 °K the enthalpy of

thf actual partially dissociated oxygen is approximately twice as great

as that of the pure molecular f orm tabulated . At 0.01 atmosphere a similar

condition is attained at 2800°K. More extensive information on the thermodynamic properties of partially dissociated oxygen will be found in table

9.2 of this series.

IKTERPOLAT I ON The validity of linear interpolation varies throughout this table

The error does not exceed one eighth of the second difference which can be

obtained by inspection from the first differences tabulated. Where more precise interpolated values are desired, a four point Lagrangian interpolation may be used [2] . CONVERSION FACTORS

The functions in this table have been expressed in dimensionless

form in order that they may be converted readily to any system of units.

Conversion factors are listed for the most often used units. For vqlues

of R and RT fi not listed in this table and for other conversion factors

see Tables* 4-^20— 1.30 of this series. The symbol R denotes the gas

coristant and T q is 273 . 16° Kelvin . The calorie used in the conversion factors is the thermochemical calorie and unless otherwise specified, the

mole is the gram - mole.

REFERENCES:

[1]. H. W. Woolley, Thermodynamic functions of molecular oxygen in the

ideal gas state, J. Research NBS 40. 163 ( 1948)RP1864

,

f2] . Tables of Lagrangian Interpolation Coefficients (Columbia University

Press. New York, N.Y., 1944).

4
U. S. DEPARTMENT OF COMMERCE

Charles Sawyer, Secretary NATIONAL BUREAU OF STANDARDS

E. U. Condon, Director

THE NBS-NACA TABLES OF

THERMAL PROPERTIES OF GASES

Table 9.11 Molecular Oxygen

July 1950

Free Energy

-(F°-E°)/RT

compiled by Harold W. Woolley

FOREWORD

This is one of a series of tables of Thermal Properties of Gases being compiled at the

National Bureau of Standards at the suggestion and with the cooperation of the National

Advisory Committee for Aeronautics. Recent advances in methods of propulsion and the

high speeds attained thereby have emphasized the importance of accurate data on thermal

properties of wind-tunnel and jet-engine gases. It is the purpose of' the project on Thermal

Properties of Gases to make a critical compilation of existing published and unpublished

data, and to present such data in convenient form for application. The loose-leaf form has

been chosen as being most convenient, and revisions are anticipated as new data become

available.

The dimensionless character of the tables and their general format should facilitate cal- culations in aerodynamics, heat-transfer, and jet-engine problems. Suggestions for the

extension or improvement of these tables are desired as well as information regarding unpublished data. Information and other correspondence regarding these tables should be addressed to Joseph Hilsenrath, Heat and Power Division, National Bureau of Standards. This

table is also available on IBM punched cards.
Table 9.11 Molecular Oxygen Free Energy

2
Table 9.11 Molecular OxV<reu Free Energy

3
TABLE 9.11 MOLECULAR OXYGEN: FREE ENERGY FUNCTION

THE PROPERTY TABULATED

In this table a f unct ion of the Gibbs free energy, F° , that is convenient in the calculation

of chemical equilibrium is presented for molecular oxygen in the ideal gas state. The function

is the dimensionless quantity - (F° — Eg ) /RT , where E° is the energy of the ideal gas at 0°K, R is the universal gas constant and T is the absolute temperature. The negative free energy function

is tabulated as a function of the temperature which is given in degrees Kelvin and degrees Rankine. The values are consistent with the values of enthalpy and entropy given in Table 9.10 of this series, and with those of reference [l] , according to the definition of Gibbs free energy,

F = H - TS

.

RELIABILITY OF THE TABLE The values given are considered to be very reliable, being uncertain by less than one unit

in the third decimal place up to the highest temperatures.

INTERPOLATION

The validity of linear interpolation varies throughout this table depending upon the number

of figures desired. The error pr oduced by linear interpolation does not exceed one-eighth of the second difference. Where more precise values are desired, a four-point Lagrangian interpolation

may be used [2] .

CONVERSION FACTORS, CONSTANTS, AND DEFINITIONS OF SYMBOLS

The f unct ion in this table has been expressed in dimensionless form. In order that it may be converted readily to any system of units, conversion factors are listed for the frequently used units. The following constants have been used in this compilation; the universal gas constant

R = 1.98719 cal mole -1 deg -1

; the molecular weight of oxygen = 32.000; the thermochemical calorie

= 4.1840 abs. joules. Unless otherwise specified the .mole is the gram-mole. For other conversion factors, constants r and def in-it ion-s see Table 1.30 of this series.

CONVERSION FACTORS

To Convert Tabulated

Value of To Having the Dimensions Indicated Below Multiply

By

- (F 0 - E°)/RT - (F° - E° )/T cal mole* 1 °K" 1 (or °C- 1

)

1 .98719

cal g- 1 °K“ 1 (or “C' 1

) 0.0620996

joules g' 1 °K' i (or '’C' 1

) 0.259825

Btu (lb mole)- 1 “R* 1 (or '’F* 1

) 1 .98588

Btu lb' 1 °R" 1 (or °F-1

) 0.0620587

REFERENCES

[l] Harold W, Woolley, Thermodynamic functions for molecular oxygen in the ideal gas state, J. Research NBS 40. 163 (1948) RP1864.

[?] "Tables of Lagrangian Interpolation Coef f icien ts **, Columbia University Press, New York, 1944.

4

U. S. GOVERNMENT PRINTING OFFICE : 1950 O - 89464 5
U. S. DEPARTMENT OF COMMERCE

Charles Sawyer, Secretary NATIONAL BUREAU OF STANDARDS

E. U Condon, Director

THE NBS-NACA TABLES OF

THERMAL PROPERTIES OF GASES

Table 10.10 Atomic Oxygen (Ideal Gas State)

July 1950

Specific Heat, Enthalpy, Entropy

C°JR, (H° — E°)/RTn , S°/R

compiled by Harold W. Woolley

FOREWORD

This is one of a series of tables of Thermal Properties of Gases being compiled at the National Bureau of Standards at the suggestion and with the cooperation of the

National Advisory Committee for Aeronautics. Recent advances in methods of propulsion and the high speeds attained thereby have emphasized the importance of 'accurate data on thermal properties of wind-tunnel and jet-engine gases. It is the purpose of the

project on Thermal Properties of Gases to make a critical compilation of existing published and unpublished data, and to present such data in convenient form for application.

The loose-leaf form has been chosen as being most convenient, and revisions are anticipated as new data become available.

The dimensionless character of the tables and their general format should facilitate

calculations in aerodynamics, heat-transfer, and jet-engine problems. Suggestions for the

extension or improvement of these tables are desired as well as information regarding

unpublished data. Information and other correspondence regarding these tables should

be addressed to Joseph Hilsenrath, Heat and Power Division, National Bureau of Standards. This table is also available on IBM punched cards.
Table 10.10 Atomic Oxygen (Ideal Gas State) Specific Heat, Enthalpy, Entropy

1020

30

40

2.5000

2.5009

2.5180

2.5692

9

171 512 726

0.09152 0.18305

0.27482 036784

9153

9177

9302 9536

103601

12.0931

13.1093 13.8399

17330 10162 7306

5810

1836

54

72

50

607080

90

2.6418

2.7142

2.7731 2.8145

2.8395

724 589

414 250

115

0.46320 0.56126

0.66175

0.76408

0.86762

9806

10049

10233

10354

10420

14.4209

14.9090 153321

15.7053 16.0384

4881

4231

3732

3331 2998

90 108 126

144

162

100 no

120 130

140

2.8510

2.8523 2.8469

2.8369

2.8238

13 - 54 -100

-131 -148

0.97182

1.0762 1.1806

1.2846 13882

1044 1044 1040

1036

1032

163382

16.6101

16.3581 17.0856

17.2954

2719 2480

2275 2098

1943

180

198 216

234

252

150

160

170

180 190

2.8090 2.7934 2.7777

2.7624 2.7478

-156

-157 -153

-146 -138

1.4914 1.5939

1.6959

1.7973

1.8981

1025 1020

1014

1008

1004

17.4897

17.6705

17.8394 17.9977

18.1467

1808

1689

1583 1490

1406

270

288 306

324

342

200 210

220 230

240

2.7340 2.7206

2.7081 2.6964 2.6855

-134

-125

-117 -109

-102

1.9985 2.0984 2.1978 22967

23952

999 994

989

985

981

18.2873 18.4200

18.5462

18.6664

18.7811

1327

1262

1202

1147 1096

360 378 396

414

432

250

260

270

280

290

2.6753 2.6658

2.6569 2.6486

2.6409

9589

8377

71

2.4933

2.5911 2.6885 2.7856

2.8824

978

974 971 968

965

18.8907

18.9953 19.0957

19.1923 19.2851

1046

1004 966 928

895

450 468 486

504

522

300

310

320

330 340

2.6338

2.6271 2.6209

2.6151 2.6097

672258

5451

2.9789

3.0752

3.1713 3.2671 3.3628

963

961

958

957 954

193746

19.4607

19.5440 19.6246

19.7026

861

833 806 780

756

540 558 576

594

612

350

360 370

380

390

2.6046 2.5998

2.5954

2.5912

2.5873

48

44

4239

37

3.4582

3.5535 3.6486

3.7435

3.8383

953

951

949

948

947

19.7782 19.8515

19.9227 19.9918

20.0592

733

712

691

674 654

630 648 666

684

702

400 2.5836 3.9330 20.1246 720

( H

°- E°o) S°

RT0 R

400 410

420

430

440

2.5836 *

2.5802 _ „

2.5769 _ , 25738 _.q 25709 _ 2a

3.9330

4.0275 4.1219 42162

45103

A

945 944

943

941

941

20.1246

20.1884 20.2505 205110

205702

A

638

621

605 592

578

720 738 756

774

792

450

460

470 480

490

2.5681 2.5655

2.5630 2.5607 2.5585

- 26 - 25 - 23 - 22 - 20

4.4044

4.4983 4.5922 4.6860 4.7798

939 939

938

938

936

20.4280

20.4843 20.5396 20.5935

20.6464

563

553 539 529

516

810

828 846

864

882

500

510 520

530 540

2.5565 _ .5545 _ .5527 _ 2.5509 _

.5492 _

4.8734 4.9670

5.0605 5.1539

5.2472

936

935 934 933

933

20.6980 20.7487

20.7982 20.8469

20.8945

507 495

487 476

467

900 918 936

954

972

550

560

570 580

590

2.5476

2.5461 2.5446

2.5432 2.5419

- 15 - 15 - 14 - 13 - 13

53405

5.4337

5.5269

5.6200

5.7131

932 932

931

931 930

20.9412

20.9871

21.0322

21.0764 21.1199

459

451

442

435 426

990 1008 1026

1044

1062

600 610

620 630

640

2.5406

2.5394 23382

2.5371 23360

- 12 - 12 - 11 - 11 - 10

5.8061

5.8991

5.9921 6.0850 6.1778

930

930

929

928 928

21.1625 213045

21.2457

21.2863 213262

420

412 406

399

394

1080 1098 1116

1134

1152

650 660

670

680

690

2.5350

2.5340

2.5331 23321

2.5312

- 10 - 9 - 10 - 9 - 8

6.2706 63634

6.4562 6.5489

6.6416

928

928

927

927

927

213656

21.4043

21.4424 21.4799

21.5169

387 381

375 370

365

1170 1188 1206

1224

1242

700

710

720

730 740

2.5304 2.5296

2.5288 23281

23274

8 6.7343

8 6.8269

7 6.9195

' 7.0120

' 7.1046

926 926

925 926

925

21.5534

21.5893 21.6246

21.6595

21.6939

359

353

349

344 339

1260 1278 1296

1314 1332

750 760

770

780

790

2.5267

2.5261 2.5254 2.5248

2.5242

6 7- 1971

“ 7.2895

, 73820

, 7.4 744

“ 7.5668

924

925

924

924

924

21.7278

21.7613 21.7943 21.8269

21.8590

335 330

326

321

318

1350 1368

1386

1404

1422

800 23237 7.6592 21.8908 1440

CONVERSION FACTORS

To Convert Tabulated Value of To Having the Dimensions Indicated Below

Mult iply

By

C°/R , S°/R

p c° . s°

p cal rrole -1 °K“ 1 (or °C" 1

) 1 .98719

cal g’ 1 "r 1 (or 0 C

_1

) 0. 124199 joules g" 1 “r 1 (or °C _1

) 0.519650

Btu (lb mole) -1 "31

( or “F" 1) 1 .98588

Btu lb' 1 °R" 1 (or °F- 1

) 0. 1241 18

2
Table 10.10 Atomic Oxygen (Ideal Gas State) Specific Heat, Enthalpy, Entropy

JK

R RT0

800 850 900 950

1000

2.5237 _ 2.5211 _ 2.5189

2.5171 _ 2.5155 _

A

26

22

1816

14

7.6592

8.1210 8.5824

9.0432 9.5037

A

4618

4614 4608

4605 4603

S

O R

21.8908

22.0437

22.1878

22.3239

22.4530

A

1529

1441 1361

1291 1226

°R

1440

1530

1620

1710 1800

1050

1100 1150

1200

1250

2.5141 2.5129

2.5118 2.5108

2.5100

9.9640

j 10.4241

in 10.8840

o 1x3437

7 11.8032

4601 4599

4597

4595 4594

22.5756

22.6925

22.8042

22.9111 23.0136

1169

1117

1069

1025 985

1890

1980 2070

2160

2250

1300

1350

1400 1450 1500

2.5093 _ 2.5086 _ 2.5080

2.5074 _ 2.5070 _

7 12.2626

' 12.7219

l 13.1811

, 13.6402

4 14.0991

4593

4592

4591 4589

4588

23.1121 23.2068

23.2980 233860

23.4710

947 912

880

350

822

2340

2430

2520

2610

2700

1550

1600 1650

1700

1750

2.5066 _ 2.5063 _ 2.5060 _ 2.5057 _ 2.5054 _

, 14.5579

, 15.0167

, 15.4755

, 15.9342

2 163927

4588 4588

4587 4585

4585

23.5532 23.6329

23.7101 23.7849

23.8575

797 772 748

726

706

2790

2880

2970

3060

3150

1800

1850

1900 1950 2000

2.5052 _ 2.5051 _ 2.5049

2.5049

2.5048

, 16.8512

, 173097

0 17.7683

“ 183268

J 18.6853

4585 4586

4585 4585

4584

23.9281 23.9967

24.0635

24.1286

24.1920

686 668

651 634 618

3240

3330

3420

3510

3600 2050

2100

2150

2200

2250

2.5049

2.5049

2.5051

2.5053 2.5055

n 19.1437

? 19.6022

, 20.0608

, 20.5195

3 20.9782

4585 4586

4587 4587

4587

24.2538 243142

243731

24.4307

24.4870

604 589 576

563

551

3690

3780

3870

3960

4050

2300

2350

2400

2450

2500

2.5058

2.5062 2.5067

2.5072 2.5078

, 21.4369

3 21.8956

, 223543

. 22.8131 23.2719

4587 4587 4588

4588

4591

24.5421 24.5960 24.6488

24.7005

24.7511

539 528

517 506

497

4140

4230 4320

4410 4500

2550

2600

2650

2700 2750

2.5084

2.5092 2.5100 2.5109 2.5119

23.7310 24.1902

24.6495

25.1091 25.5688

4592

4593 4596

4597 4599

24.8008

24.8495

24.8973 24.9442

24.9903

487 478

469

461

453

4590

4680 4770

4860 4950

2800 2850

2900

2950

3000

2.5130

2.5142 2.5155

2.5168

2.5182

26.0287

26.4888

26.9491 27.4097

27.8705

4601

4603 4606

4608

25.0356

25.0800 25.1238

25.1668 252091

438

430

423

5040 5130

5220

5310

5400

°K

R

_S_

R

3000

3050

3100

3150

3200

3250

3300

3350

3400

3450

3500

3550

3600

3650

3700

3750 3800

3850 3900

3950

4000

4050 4100

4150

4200

4250 4300

4350

4400 4450

4500

4550

4600

4650

4700

4750

4800

4850

4900

4950

5000

25182

25197

25213

2.5229 2524 7 25265

2.5284 2.5304 2.5325 25346

2.5368 25391

2.5414 25438

2.5463

2.5488

2.5513 2.5539 2.5566

2.5593

2.5621 25649

2.5677 2.5706

-25 735

2.5764 2.5794 25824

2.5853

2.5883

2.5913 25944

2.5974 2.6005 2.6036

2.6066

2.6097

2.6128 2.6158

2.6189

2.6219

27.8705 283316

28.7931 29.2548

29.7168

30.1792 30.6418

31.1047

31.5680 32.0316

32.4956

32.9601

33.4251 33.8906 343565

34.8229 352897

35.7569 36.2246

36.6927

37.1614 37.6306

38.1004 38.5707

39.0416

39.5130 39.9849

40.4573

40.9303 41.4038

41.8779 423526

42.8278 433036

43.7800

44.2569

44.7343 45.2123 45.6907 46.1696

46.6489

A

4611 4615

4617 4620

4624

4626

4629

4633 4636

4640

4645 4650

4655 4659

4664

4668

4672

4677

4681

4687

4692

4698 4703

4709 4714

4719 4724

4730

4735 4741

4747 4752

4758

4764

4769

4774

4780

4784

4789

4793

252091

25.2508 252918

253321

253719

25.4111 25.4497

25.4877

25.5252

25.5621

25.5986 25.6346

25.6701 25.7052 25.7398

25.7740 25.8078

25.8411

25.8741 25.9067

25.9389 25.9708

26.0022 26.0334

26.0642

26.0947

26.1249

26.1547

26.1842 262135

26.2424 26.2710 262994

263275

263553

263829

26.4102

26.4373

26.4641 26.4907

26.5170

A

417 410

403 398

392

386 380

375 369

365

360

355 351 346

342

338 333

330

326

322

319

314

312 308

305

302 298

295

293

289

286

284

281 278 276

273 271

268

266

263

5400

5490

5580 5670

5760

5850

5940 6030

6120

6210

6300 6390

6480 6570

6660

6750

6840

6930 7020

7110

7200 7290 7380

7470

7560

7650

7740

7830

7920 8010

8100 8190

8280

8370 8460

8550 8640

8730 8820

8910

9000

CONVERSION FACTORS

3
TABLE 10.10 ATOMIC OXYGEN (IDEAL GAS STATE)

THE PROPERTIES TABULATED

These tables give in dimensionless form as functions of temperature

in degrees Kelvin and degrees Rankine, the following thermodynamic properties of atomic oxygen in the ideal gas state: the specific heat at

constant pressure, Cp; the enthalpy, H° ; and the entropy, S° . The zero

reference point of the enthalpy is taken as the ideal gas internal energy,

Eq

,

at absolute zero. The tabulated quantities are made dimensionless

by dividing by R or RT , where R is the universal gas constant and T is

the absolute temperature of the ice point. The tables are based on those

given in reference 1 with some extension and sub tabulation

.

RELIABILITY OF THE TABLE

The values in this table are considered to be very reliable. It appears probable that any inaccuracies introduced in the s ub t ab ul a t i on would be of the order of 0.0001.

I NTERP0LAT I ON The validity of linear interpolation varies throughout this table

depending upon the number of figures desired. The error produced by

linear interpolation does not exceed one-eighth of the second difference.

Where more precise values are desi red a four-point Lagrangian interpolation

may be used [2] .

CONVERSION FACTORS, CONSTANTS, AND DEFINITIONS OF SYM30LS

The functions in this table have been expressed in dimensionless

form in order that they may be converted readily to any system of units.

Conversion factors are listed for the frequently used units. The following constants have been used in this compilation: the gas constant

R = 1.98719 cal mole -1 deg -1

; the atomic weight of oxygen = 16.0000;

T

0 = 273. 16 K; the thermochemical calorie = 4.1840 abs. joules. Unless

otherwise specified the mole is the gram-mole. For other conversion

factors, c o-n-st-cnrts. —and-de-£i_nl 1

i

on

s

see table 1.30 of this series.

REFERENCES

[1] "Selected Values of Chemical Thermodynamic Properties, " National

Bureau of Standards.

[2] "Tables of Lagrangian Interpolation Coefficients," (Columbia University Press, New York, N.Y., 1944).

4

U. S. GOVERNMENT PRINTING OFFICE: 1950 O - 887338
U. S. DEPARTMENT OF COMMERCE

Charles Sawyer, Secretary NATIONAL BUREAU OF STANDARDS

E. U. Condon, Director

THE NBS-NACA TABLES OF

THERMAL PROPERTIES OF GASES

Table 10.11 Atomic Oxygen

July 1950

Free Energy

-(F°-E°0 )IRT

compiled by Harold W. Woolley

FOREWORD

This is one of a series of tables of '’Thermal Properties of Gases being compiled at the

National Bureau of Standards at the suggestion and with the cooperation of the National

Advisory Committee for Aeronautics. Recent advances in methods of propulsion and the

high speeds attained thereby have emphasized the importance of accurate data on thermal

properties of wind-tunnel and jet-engine gases. It is the purpose of the project on Thermal

Properties of Gases to make a critical compilation of existing published and unpublished

data, and to present such data in convenient form for application. The loose-leaf form has

been chosen as being most convenient, and revisions are anticipated as new data become

available.

The dimensionless character of the tables and their general format should facilitate cal- culations in aerodynamics, heat-transfer, and jet-engine problems. Suggestions for the

extension or improvement of these tables are desired as well as information regarding unpublished data. Information and other correspondence regarding these tables should be addressed to Josejih Hilsenrath, Heat and Power Division, National Bureau of Standards. This

table is also available on IBM punched cards.
Table 10.11 Atomic Oxygen Free Energy

°K °R RT

10

A

7.86 01 17329 9.5930 10140 10.6070 \2Q9 113279

TM

18

20 36

30 54

40 72

50 n.8903 4635 123538 ZZ

12.7497

13.0963

13-4050

TM

90

60 108

70 126

80 144

90 162

100 13.6836 ?

, 39 13.9375 f32

14 A 707

143863

TM

14.5867 \°m

180

no 198

120 216

130 234

140 252

150 !4.7738 1754 14.9492

15.1143

15.2702

5

4 5 15.4177 J/oo

270

160 288

170 306

180 324

190 342

200 15.5577 1328 15.6905 f69

8 15.8174

15.9388 382 16.0550

360

210 378

220 396

230 414

240 432

250 16.1664

16.2732

163759 98; 16.4748

989 16.5702 *

0

450

260 468

270 486

280 504

290 522

300 16.6622 fiBR 16.7510 859 16.8369

16.9202 8Q7 17.0009 ^

540

310 558

320 576

330 594

340 612

350 1 7.0792

17J552 7“

173291 718

! 73009 899 173708 Z

630

360 648

370 666

380 684

390 702

400 17.4388 720

°K

i

F°~K)

°R RT

400 17.4388 720

410 17.5051 ““738

420 17.5697 630 756

430 17.6327 Z 774

440 17.6943 2 792

450 17.7544 587 810

460 17.8131

TM

828

470 17.8706 ” 846

480 17.9267 864

490 17.9818 HI 882

500 18.0356 900

510 18.0883 918

520 18.1399 “6 936

530 18.1906 496 954

540 18.2 4 0 2 48

8 972

550 18.2 8 8 8 47fi 990

560 183366 1008

570 183835 4 ^

1026

580 18.4295 1044

590 18.4748 ^ 1062

600 18.5192 436 1080

610 18.5628 438 1098

620 18.6058 42? 1116

630 18.6480 419 1134

640 18.6 8 9 5 408 1152

650 18.73 03 403 1170

660 18.7706 Z 1188

670 18.8102 Z 1206

680 18.8492 384 1224

690 18.8876 37g 1242

700 18.9255 377 1260

710 18.9627 Z 1278

720 18.9995 Jr, 1296

730 19.0356 HI 1314

740 19.0713 332 1332

750 19.1065 M7 1350

760 19.1412 1368

770 19.17 5 5 337 1386

780 19.2092 334 1404

790 19.2426 1422

800 19.2755 1440

2
I able 10.11 Atomic Oxygen Free Energy

°K

1 o 1

°R RT

800 19.2755 4 1440

850 19.4339 ^ 1530

900 19.5830 1620

950 19.7237

TM

1710

1000 19.8569 1800

1050 19.9 83 5 1205 1890

1100 20.1040 “ 1980

1150 20.2190 JJ?; 2070

1200 203289 2160

1250 20 4343

®

2250

1300 20.5354 97? 2340

1350 20.6326 2430

1400 20.7260 2520

1450 20.8164 ^ 2610

1500 20.9034 ^ 2700

1550 20.9876 2790

1600 21.0692 789 2880

1650 21.1481 2970

1700 21.2245 ;; 3060

1750 212987 72^ 3150

1800 2 1 3 7 0 8 701 3240

1850 21.4409 TM3330

1900 21.5090 ^ 3420

1950 21.5734 £ 3510

2000 21.6400 630 3600

2050 21.7030 4 3690

2100 21.7644 30Q 3780

2150 21.8244 3870

2200 21.8830 3960

2250 21.9402 530 4050

2300 21.9962 4? 4140

2350 22.0509 533 4230

2400 22 J 045

' 4320

2450 22.1569 5 34 4410

2500 22.2083 503 4500

2550 22.2586 494 4590

2600 223080 484 4680

2650 223564 475 4770

2700 22.4039 466 4860

2750 22.4505 458 4950

2800 22.4 9 63 449 5040

2850 22.5412 44 , 5130

2900 22.5 8 53 434 5220

2950 22.6 2 8 7 427 5310

3000 22.6714 5400

°K °R RT

3000 22.6714 4f9 5400

3050 22.7133

TM

5490

3100 22.7546 ,0l 5580

3150 22.7952

*

5670

3200 22.8352

TM

5760

3250 22.8745 387 5850

3300 22.9132 5940

3350 22.9514 376 6030

3400 22.9890 370 6120

3450 23.0260 365 6210

3500 23.0 62 5 36Q 6300

3550 23.0985 334 6390

3600 23.1339 2 6480

3650 23.1689 25 6570

3700 23.2034 3Al 6660

3750 23.2 3 7 4 336 6750

3800 23.2710 6840

3850 233042 f27

‘ 6930

3900 233369 324 7020

3950 233693 3 19 7110

4000 23.4012 ... 7200

4050 23.4327 ,: 7 7290

4100 23.4639 J8 7380

4150 23.4947 “7470

4200 23.52 5 1 300 7560

4250 23.5551 297 7650

4300 23.5848 294 7740

4350 23.6142 29Q 7830

4400 23.64 3 2 287 7920

4450 23.6719 284 8010

4500 23.7003 8 8100

4550 23.7284 27^ 8190

4600 23.7562

" 8280

4650 23.783 7 8370

4700 23.8 1 0 9 269 8460

4750 23.8378 26? 8550

4800 23.8645 263 8640

4850 23.8908 262 8730

4900 23.9170 259 8820

4950 23.9429 256 8910

5000 23.9685 9000

3
TABLE 10.11 ATOMIC OXYGEN: FREE ENERGY FUNCTION

THE PROPERTY TABULATED

In this table a function of the Gibbs free enerqy, F°, that is convenient in the calculation of chemical equilibrium is presented for atomic oxygen in the ideal gas state. The func- tion is the dimensionless quantity — (F° - E°)/RT, where E° is the energy of the ideal gas at 0°K, R is the universal gas constant and T is the absolute temperature. The negative free en- ergy function is tabulated as a function of the temperature which is given in degrees Kelvin and degrees Rankine. The values are consistent with the values of enthalpy and entropy given in Ta- ble 10.10 of this series, according to the definition of Gibbs free energy, F = H — TS, For use with these tables the recommended value of E° for atomic oxygen, referred to the standard state

of gaseous molecular oxygen at 0°K is 58.586 kcal/mole. This is based on the value for the heat

of formation of atomic oxygen at 0°K [1].

RELIABILITY OF THE TABLE The tabulated values are thought to be very reliable, probably within 2 units in the last decimal place.

INTERPOLATION

The validity of linear interpolation varies throughout this table depending upon the number

of figures desired. The error produced by linear interpolation does not exceed one-eighth of the second difference. Where more precise values are desired, a four-point Lagrangian interpolation may be used [2].

C0NVER5I0N FACTORS, CONSTANTS, AND DEFINITIONS OF SYMBOLS The function in this table has been expressed in dimensionless form. In order that it may be

converted readily to any system of units, conversion factors are listed for the frequently used units. The following constants have been used in this compilation: the gas constant R = 1.98719

cal mole -1 deg -1

; the atomic weight of oxygen = 16.000; the thermochemical calorie = 4.1640 abs

.

joules. Unless otherwise specified the mole is the gram-mole. For other conversion factors, c^en—

-

s-t-a n t s

- -an d- - del in ir-t-i-orH; see Table 1.30 of this series.

CONVERSION FACTORS

To Convert Tabulated

Value of To Having the Dimensions Indicated Below

Mul t ipl

y

By

- (F° - E°) /RT - (F° - E° )/T cal mole* 1 °K_1 (or “C* 1

) 1.98719

cal g* 1 “K" 1 (or “C* 1

) 0. 124 1 99

joules g* 1 °K“ 1 (or “C* 1

) 0.51 9650

3tu (lb mole)* 1 “R* 1 (or °F“ 1

) 1 .98588

Btu lb* 1 “R* 1 (or °F* 1

) 0. 124 1 1 8

REFERENCES

[1] "Selected Values of Chemical Thermodynamic Properties", National Bureau of Standards.

[2] "Tabl es o f Lagrangian Interpolation Coefficients", Columbia Un iversity Press , New York, 1944 .

4
U. S, Department of Commerce National Bureau of Standards

The NBS-NACA Tables of Thermal Properties

of Gases

Table 9.13 Density of Molecular Oxygen

p/p0

by

Harold W. Woolley

Reissue

1953

Table, 9* IS Density of Oxygen

Pressure

T

1 .01 atm .1 atm .4 atm .7 atm —

°K

100

no

120

130

140

,02730

.02481

'

.02274

.02099

.01949

-249

207

175

150

130

.27350

.24851

.22772

.21015

.19510

-2499

2079

1757

1505

1304 |

I.IOI36

.99916'

.91455

.84330

.78243

-10220

8461

7125

6087

5261

1.94076

1.75770

1.60701

1.48059

1.37287

-I8306

15069

12642

10772

9293

150

160

170

180

190

.01819

.01706

.01605

.01516

.01436

113

101

89

80

71

.18206

.17066

.16061

.15167

.14368

1140 ! 1005

894

799

719

.72982

.68387

.64339

.60745

.57534

4595

4048 ! 3594

3211

2888

1.27994

1.19891

1.12761

1.06438

1.00790

8IO3

7130

6323

5648

5075

200

210

220

230

240

.OI365

.01300

.01240

,on87

.On37

65

60

53

50

45

.13649

.12999

.12407

.n867

.11373

650

592

540

494

455

.54646

.52034

.49662

.47496

.45513

2612

2372

2166

1983

1825

.95715

.91129

.86964

.83165

.79685

4586

4165

3799

3480

3199

250

260

270

280

290

!

.01092

.01050

.01011

.00975

0 00941

42

39

36

34

31

.10918

.10497

.10108

.09747

.09411

421

389

361

336

314

.43688

.42004

.40446

.38999

.37652

1684

1558

1447

1347

1256

.76486

.73534

.70802

.68266

.65906

2952

2732

2536

2360

2202

300

310

320

330

340

.00910

0 00880

.00853

.00827

.00803

30

27

26

24

23

.09097

.08804

.08528

.08270

.08027

293

276

258

243

23O

.36396

.35220

.34118

.33084

»32no

1176

1102

1034

974

919

.63704

.61644

.59714

.57902

.56196

2060

1930

1812

1706

1608

350

360

370

380

390

.00780

.OO758

.00738

.00718

.00700

22

20

20

18

18

.07797

.07581

.07376

.07182

.06997

216

205

194

I85

174

.31191

.30324

.29504

.28727

.27990

867

820

777

737

700

.54588

.53070

.51634

.50273

.48983

1518

14.36

I36I

1290

1226

400

410

420

430

440

.00682

.00666

.00650

.OO635

.00620

16

16

15

15

14

.06823

.06656

.06498

.06346

.06202

167

158

152

144-

138

.27290

.26624

.25990

.25385

.24808

666

634

605

577

552

.47757

.46591

.45481

.44423

.43413

1166

1110

1053

1010

966

450 | .00606 .06064 .24256 .42447

T

°R

ISO

190

216

234

252

270

288

306

324

342

36O

378

396

414-

432

450

46s

486

504

522

540

558

576

594

612

630

648

666

684

702

720

738

756

774

792

810
T

°K

450

460

470

480

490

500

510

520

530

540

550

56O

570

530

590

600

610

620

630

640

650

660

670

680

690

700

710

720

730

740

750

760

770

780

790

800

p/p, T

°R

810

828

846

864

882

900

918

936

954

972.

990

1008

1026

1044

1062

1080

1098

1116

1134

1152

II70

1138

1206

1224

1242

1260

1273

1296

133-4

1332

1350

1368

1386

1404

1422

1440

18 Density of Oxygen

.01 atm

Pressure

,1 atm .4 atm .7 atm

•'fe

.00606 23

.00593 no .00531 22

.OO569 22

.00557

n

.06064

.05933

.O58O6

.5685

.05569

-131

127

121

116

111

.24256

.23729

.23224

.22740

.22276

-527

505

484

464

446

9-7 7 i /-7 32/

.38980 7g(

.00546 21

.OO535 10

.00525 10

.00515 10

.OO505 9

.05453

.05351

.05243

.05149

.05054

107

103

99

95

92

.21830

.21402

.20990

.20594

.20213

423

412

396

381

368

.33200

.37451

o36730

.36037

.35370

749

721

693

667

643

.00496

n .00487 3

.00479 3

.00471 3 . 00463 3

.04962

.4373

.04783

.04705

.04625

89

85

83

80

77

.19345

.19491

.19149

.18819

.I85OO

354

342

330

319

309

.34727

.34106

.33508

.32930

.32372

62.1

593

573

558

540

.00455 3

.00447 7

.00440 7

.00433 7

.00426 3

.04548

.04474

.04401

.04332 O 04264

74

73

69

68

66

.18191

.17893

.17604

.17325

.17054

293

289

279

271

262

,31332

.31310

.3O8O5

.30316

.29842

522

505

439

474

459

.00420 7

.00413 I

.00407 6

.00401 6

.00395 5

.04198

.04135

.04073

.04013

.03955

63

62

60

58

57

.16792

.16537

.16291

.16051

.15818

255

246

240

233

226

.29333

.28938

.28506

.28087

.27679

445

432

419

408

395

.00390 6

.00384 c .00379 1

.00374

C .00369 5

.03898

.03344

.03790

.03733

.03688

54

54

52

50

49

.15592

.15373

.15159

.14952

.14750

219

214

207

202

197

.27284

.26900

.26526

.26163

.25809

384

374

363

354

344

.00364

_ .OO359 l

.00354 f

.00350 I! .00345 1

.03639

.03591

.03544

.03499

.03454

48

47

45

45

43

*^53 192 • 143 ol

.14175 iso

.13993 177

.13816 ^

.25465

.25130

.24804

.24486

.24176

335

326

318

310

302

.00341 .03411 .13643 .23874 -2-
Table 9* IS Density of Oxygen

T

°K

300

350

900

950

1000

1050

1100

1150

1200

1250

1300

1350

1400

1450

1500

1550

1600

I65O

1700

1750

1300

1350

1900

1950

2000

2050

2100

2150

2200

2250

2300

.01' atm

» OO34I _?0

.00321 ri

*00303 tb

.00237 t

.00273 53

.00260 -] 2

.00248 72

.00237 10

.00227 q

.00218 |

.00210 g

.00202 1

.00195 7

.00188 5

.00182 6

.00176 c .00171 6

.OOI65 4

.00161 r .OOI56 l

.00152 , .00148 7

.00144 a .00140 I

.OOI36

3

.OOI33 3

.00130 3

.00127 3

.00124 3

.00121 2

.00119

Pressure

.1 atm .4 atm .7 atm"

.03411

.03211

.O3O32

.02873

.02729

-200

179

159

144

130

.13643

.12841

.12127

.11489

.10915

-802

7U

638

574

520

.23874

,22469

.21221

.20104

.19099

-1405

1248

1117

1005

909

.02599

.02481

.02373

.02274

,02183

118

103

99

91

34

.10395

.09923

.09491

.09096

.08732

472

432

395

364

336

.13190

.17363

.16608

.15916

.15280

327

755

692

636

583

.02099 73

.02021 72

.01949 57

.01882

.01319 5s

,08396 344

.OSO85 289

.07796 263

.07528 251

.07277 235

.14.692

O 24348

.13643

.13172

.12733

544

505

471

439

410

.01761 r r .01706 g

.01654 A 0

.01605 46

.01559 43

.07042

.06322

.06615

.06421

.06237

220

207

194

184

173

,12323 3

,11933 362

,11576 3il0 .11236 Si

o 10915 304

.01516 44

.03475 39

.01436 37

.01399 39

.01364 33

.06064 464

O 05900 ]_cc

.05745 147

.05598 440

,05458 434

o 10611 286

.IO325 272

,10053 258

•*09735 245

.09550 233

.01331 31

.01300 34

.01269 29

.01240 27

.01213 27

.01186

. 05324 126

.05193 424

.05077 115

.04962 -]-)-] .O485I 403

.04746

.09317 221

.09096 212

.08884 202

.08632 493

.03439 434

.03305

T

°R

1440

1530

1620

1710

1300

1890

1980

2070

2160

2250

2340

2430

2520

2610

2700

2790

2830

2970

3060

3150

3240

3330

3420

3510

36OO

3690

3780

3870

3960

405O

4140

-3-
Table 9.13 Density of Oxygen

T

°K

2300

2350

2400

2450

2500

2.550

2600

2650

2700

2750

2800

2850

2900

2950

3000

e 01 atm

.00119 o 0OOH6 '

l

.00114- o .00111 * .00109 2

o 00107 p

. .00105 p

.00103 p

e .00101

p

.00099 2

.00097 -I .00096 p

.00094 o .00092 ^ .00091

Pressure

.1 atm .4 atm .7 atm

.01186 p

.01161 "p/

.OH37 p'

.01114 pp

.01092 22

.04746

.04645

.04548

.04455

.04366

-101

97

93

89

85

0O83O5

.08128

.07959

.07796

.07640

-177

169

I63

I56

149

.01070 pn

.01050 ^

.01030

.01011 ^

.00992 ^

o04281 rtp .04193

.04119 Li

O 04043 X,

.03969 ^

.07491

.07347

.07208

.07075

.06946

144

139

133

129

124

.00975 17

.00953

.00941 7/

.00925 LL

.00910 ^

.03893

.03830

.03764

.03700

.03638

68

66

64

62

.06822

.06702

,06587

.06475

.06367

120

115

112

108

T

°K

4140

4230

4320

.4410

4500

4590

4680

4770

4860

4950

5040

5130

5220

5310

5400
Table 9. IS Density of Oxygen

Pressure

T

1 1 atm 4 atm 7 atm 10 atm 1

°K

100

no

120

130

140

2.79257

2.5244.1

2.30525

2.12207

I.96644

26816

21916

I83I8

15563

13390

10.755 _

9.649

8.709

0.087

no6

860

702

59i

-17.86

’ 16.009 * 14.588

.1051

1421 ( n50 1

24.0

21.56

'24

186

150

160

170

180

190

1.83246

1.71581

1.61329

1.52247

1.44139

n665

10252

9002

0108

7279

7.496

6.990

6.552

6.168

5.828

506

438

: 304 i 340

3035

13.430

12.474

11.651

10,930

10.312

964

023

713

626

5536

19«?0

18.18

16.92

15.04

14.90

152

126

100

94

027

200

210

220

230

240

1.36860

1.30285

1.24317

1.18874

1.13890

6575

5960

5443

4904

4501

5.5245

5. 2518

5.OO55

4.7013

4.5776

2727

2463

2237

2042

1072

9.7504

9.2635

8.OIO5

0.4159

0.0497

4949

4450 : 4026 ; 3662

3347

14.073

13.339

12.683

12.091

11.555

734

656

592

536

400

250

260

270

280

290

1.09309

I.O5OS5

1.01176

.97540

.94172

4224

3909

3628

3376

3149

4.3904

4.2181

4.0591

3. 9H8

3.7749

1723

1590

1473

1369

1275

7.7150

7.4070

7.1240

6.8631

6,6203

3072

2030

2617

2420

22575

II0O67

10.620

10.208

9.029

9.477

447

412

379

352

326

300

310

320

330

340

.91023

.88077

.05317

.02725

.00207

2946

2760

2592

2430

2299

3.6474

3.5234

3.4169

3.3123

3.2340

n9o

U15

1046

903

926

6.39455

6.I8392

5.90695

5.00239

5.62896

21063

19697

10456

17343

I.63I8

9.151

0.047

O.563

0.297

8o047

004

284

266

250

235

350

36O

370

380

390

.77900

.75010

.73765

.71020

.69976

2170

2053

1945

1044

1751

3.12143

3.03405

2.95149

2.87333

2.79921

0730

0256

7016

7412

7036

5.46570

5.3H93

5.16661

5.02934

4.09006

15305

14532

13747

13020

12367

7.812

7.591

7.302

7.105

6.990

221

209

197

187

177

400

410

420

430

440

.68225

.66559

.64972

.63459

.62016

1666

1507

1513

1443

1380

2.72885

2.66197

2.59028

2.53760

2.47970

6680

6369

6060

5790

5530

4.77519

4.65770

4.54594

4.43942

4.33783

11749

11176

10652

10159

9699

6.8212

6.6528

6.4925

6,3400

6,1944

1684

1603

1525

3456

1388

450 .60636 2 . 42440 4.24084 6.O556

T

°R

180

198

216

234

252

270

288

306

324

342

36O

378

396

414

432

450

468

486

504

522

540

55S

576

594

6.12

630

648

666

684

702

720

73S

756

774

792

810

-5-
Table 9*18 Density of Chgrgen

Pressure

T

1 1 atm 4 atm 7 atm

°K

450

460

470

480

490

,60636

.59317

.53054

.56844

.55683

-1319

1263

1210

1161

1115

2 « 42440

2.37151

2.32091

2.27243

2.22592

-5289

5060

4848

4651

4463

4 . 24034

4,148.11'

4.05937

3.97V+0

3.89290

'9273

8874

8497

8I5O

7316

500

510

520

530

540

.54563

.53498

,52468

.5W8

.50525

1070

1030

990

953

920

2.18129

2.13843

2.09722

2.05759

2.01941

4286

4121

:

3963

3818

3673 \

3. 81474

3.73964

3.66747

3.59306

3.53m

7510 j 7217 1 6941 ! 6685

6437 1 550

56O

570

580

590

.49605

.48719

.47864

.47039

.46241

886

355

825

798

771

1.93263

1.94719

1.91299

1.37997

1.84807

3544!

3420

3302

!

3190 | 3084 ;

3.46634

3.40479

3.34493

3.28712

3.23131

6205 1 5986

5761 ! 5531

5395

600

610

620

630

640

.45470

.44725

.44003

.43305

.42628

745

722

698

677

656

1.81723

1.78742

1.75356

1.73063

1.70357

2981

!

2886

2793

2706

2623

3.17736

3,12521

3.07474

3.02588

2.97854

5215

5047

4386

4734

4538

650

660

670

630

69O

.41972

.41336

.40719

.40120

.39559

636

617

599

581

565

1.67734

1.65193

1.62726

I.6O333

1.58008

2541

2467

2393

2325

2258

2.93266

2.88819

2.84506

2,80319

2.76257

4447

4313

4187

4062

3950

700

710

720

730

740

.38974

o38425

.37391

.37372

.36867

549

534

519

505

491

1.55750

1.53557

1.51422

1.49348

1.47330

2193

2135

2074

2018

1965

2,72307

2.68472

2,64741

2.61114

2.57535

3835

3731

3627

3529

3434

750

760

770

780

790

.36376

.35897

.35431

.34976

.34534

479

466

455

442

432

1c45365

1.43453

1.41590

1.39775

1.38005

1912

I863

1815

1770

1723

2.54151

2.50807

2.47550

2.44378

2.41285

3345+

3257

3172

3093

3016

800 .34102 1.36282 2.38269

10 atm

2 * u / H-J 1

"| ( 5-5517

5.4459

5*3385

5*2354

5c 1361

5.0406

1074

1031

993

955

920

4*9486

4.8599

4*7744

4.6918

4.6m

887

855

826

797

770

4*5351

4.4605

4.3885

4.3187

4.25:11

746

720

693

676

655

4.1856

4. mi

4.0606

4.0003

3.9428

635

615

598

58O

564

3.8864

3.8316

3.7734

3.7267

3.6763

543

532

517

504

490

3.6273

3.5796

3.5331

3.4373

3.4437

477

465

453

441

431

3.4006

p/p0

T

°R

310

328

846

364

332

900

913

936

954

972

990

1003

1026

1044

1062

1080

1098

1116

1134

1152

1170

1188

1206

1224

1242

1260

12.78

1296

1314

I332

1350

1368

1386

14-04

1422

1440

-6-
Table

T

°K

800

85O

900

950

1000

1050

1100

1150

1200

1250

1300

1350

1400

1450

1500

1550

1600

I65O

1700

1750

1800

I85O

1900

1950

2000

2050

2100

2150

2200

2250

2300

.18 Density of Oxygen

Pressure

1 atm 4 atm 7 atm 10 atm

.34102

.32096

*30313

.28718

.27282

-2006

1783

1595

1436

1299

1.36282

1.28266

1.21143

1.14770

1. 09035

-8016

7123

6373

5735

5189

2.38269

2.24260'

2.11809

2.00670

I.9O646

-14009

12451

III39

10024

9070

3.4006

3.2007

' 3.0231

2.8641

2.7211

-1999

1776

1590

3430

1294

.25983

.24802

.23724

.22736

.21827

1181

1078

988

909

840

1.03846

* 99129

® 94821

.90872

.87240

4717

4308

3949

3632

3353

1.81576

1*73331

I.658O4

1.58903

1.52555

8245

7527

6901

6348

5861

2.5917

2.4741

2.3667

2.26828

2.17770

1176

1074

9842

9058

8361

.20987

.20210

.19488

.18816

.18189

777

722

672

627

586

083887

.80782

.77899

.75215

.72710

3105

2883

26&4

2505

2344

I.46694

1.41258

1.36228

I.3I536

1.27157

5426

5040

4692

4379

4097

2.09409

2.01667

1*94476

I.8778I

1.81533

7742

7191

6695

6248

5847

.17603

*17053

.16536

.I6O5O

.15591

550

517

486

459

433

.70366

.681 68

.66104

.64161

.62329

2198

2064

1943

1832

1730

1.23060

I.I92I9

lo 15611

lo 12214

1.09012

3841

36O8

3397

3202

3025

1.75686

1.70206

1.65056

1.60210

1,55640

5480

5150

4846

4570

4316

.15158

.14749

.I436I

.13992

.13643

409

388

369

349

333

.60599

.58962

.57412

.55940

.54543

1637

1550

1472

1397

1330

1.05987

1.03126

1.00415

.97843

,95400

2861

2711

2572

2443

2325

1.51324

1,47240

1.43373

1.39702

1.36215

| 4084

3867

3671

3487

3319

.13310

.12993

.12691

0I24O3

.42127

317

302

288

276

264

.53213

.51947

*50739

.49587

.48486

1266

1208

1152

1101

1054

.93075

.90862

.88750

.86736

.84810

2213

2112

20.14

1926

1842

1.32896

1.29737

1.26725

1,23849

1 ,21100

3159

3012

2.876

2749

2627

.LL863 .47432 .82968 1.18473

p/p0

T

°R

1440

1530

1620

1710

1800

1890

1980

2070

2160

2250

2340.

2430

2520

2610

2700

2790

2880

2970

3060

3150

3240

333O

3420

351C

36OO

3690

3780

3870

3960

40.50

4140
Table 9*13 Density of Oxygen

0

°K

.1 atm 4 atm

Pressure

7 atm 10 atm

T

°R

2300

2350

2400

2450

2500

,11363 2 -2

0 11611 "pfp

.11369 232

e.11137 2J2

e 10915 21

o 47432

0 46423

*45457

o 44530

.43640

-1009

966

927

390

856

.32968

9 S1205

*79515

o 77394

*76337

-1763

1690

1621

1557

1496

1.13473

lo 11229

1.09007

-2518

2412.

2314

2222

2135

4140

4230

4320

4410

4500

255O

2600

2650

2700

2750

,01700

*10495

*10297

.10106

.09922

205

193

191

134

177

.42734 cv 22

.41962 ^gi

.41171 762

.40409 Lc

*39674 4os

*74341

o 73404

,72020

.70638

069403

1437

1334

1332

1235

1238

1.06372

1.04820

1.02845

1*00943

.99110

2052

1975

1902

1833

1768

4590

4630

4770

4360

4950

2300

2350

2900

2950

3000

.09745

*09574

*09409

.09250

.09096

171

165

159

154

*33966

.33233

.37623

.36936

.36370

683

660

637

616

c 68165

.66970

.65317

064702

.63625

1195

1153

1115

1077

0 97342

.95636

.93939

.92399

.90861

1706

1647

1590

1538

5040

5130

5220

5310

5400
Table 9® 13 Density of Oxygen

T

°K

I5O

160

170

180

190

200

210

220

230

240

250

260

270

280

290

300

310

•320 33O

340

350

36O

370

380

390

400

410

420

430

440

450

Pressure

10 atm 40 atm 70 atm 100 atm

19.70 _

13.18

16 * 92

±5 . 34

34.90

151

126

108

94

827

93.0

83.9

74.7

67.8

-141

92

79

54

234.0

165.0

139.4

490

-256

I64

335.

241.

-94

42

U.073

13.339

12.683

12.091

11.555

734

656

592

536

488

62.4

53.1

54.4

51.3

48.56

43

37

31

274

242

343.0

111.3

102.3

95.0

39.0

117

90

73

60

5H

193o6

172.9

155.4

112.3

131.9

257

175

131

104

849

H0O67

10.620

10.208

9.329

9.477

447

412

379

352

326

46.14

43.93

42.05

40.29

33.69

216

193

176

160

3459

33.89

79.43

75.525

72.035

68. 911

446

3905

3490

3124

2829

123 .41

116.19

109.97

104.50

99.67

722

622

547

483

433

9.151

8.347

8.563

3.297

8.047

304

284

266

250

235

37.231

35.884

34 0639

33.485

32.410

1347

3L245

1154

1075

1002

66.082

63.515

61.158

58.997

56.994

2567

2357

2161

2003

1852

95.34

91.43

87.87

34.618

31.619

391

356

3252

2999

2757

7.812

7.591

7.332

7.135

6.993

221

209

197

187

177

31.403

30.470

29.590

28.762

27.982

938

880

828

780

736

55.142

53.416

51.8.11

50.301

43.839

1726

I6O5

1510

1412

1332

73o862

76.309

73.934

71.715

69.633

2553

2375

2219

2032

1943

6.8212

6.6528

6.4925

i 6.3400

' 6.19/4

1634

1603

1525

3456

1388

27.246

26.550

25.889

25.263

24.667

696

661.

626

596

567

47.557

46.305

45.122

43.993

j 42.939

1252

1183

1124

1059

1008

67c 690

65.863

64»142

62.508

60.974

1827

1721

1634

1534

1461

i 6.0556 24.100 41.931 59.513

p/p0

T

°R

270

288

306

324

342

36O

373

396

414

432

450

468

436

504

522

540

553

576

594

612.

630

643

666

634

702

720

733

756

774

792

310

“9-
Table 9® IS Density of Oxygen

Pressure

p/pr

’ 10 atm

T

°K

40 atm 70 atm 100 atm

T

°R

450

460

470

480

490

6.0556

5.9220

5.7959

5.6743

5.5577

-132S

1269

1216

1166

1118

24.100

23.56O

23.044

22.551

22.030

-540

516

493

471

452

41.931

40.971

40,056

39.136

3So353

-960

915

870

333

797

59.513

58.134

56.803

55.559

54.367

-1379

1326

1249

1192

1150

500

510

520

530

540

5*4459

5.3335

5.2354

5.1361

5.0406

1074

1031

993

955

920

21.623

21.195

20.780

20.381

19.998

433

415

399

333

3686

37.556

36.793

36.065

35.363

34.696

758

733

697

672

645

53.217

52.128

51.086

50.038

49.122

1089

1042

998

966

917

810

828

846

864

882

900

913

936

954

972

550

560

570

580

590

4.9486

4.8599

4.7744

4. 6918

4.6121

887

855

826

797

770

600

610

620

630

640

4.5351

4.4605

4.3885

4.3187

4,2511

746

720

698

676

655

19.6294

19.2743

18.9322

18.6023

18.2841

17.9767

17.6798

17.3925

17.1148

16.8460

3551

3421

3299

3132

3074

2969

2873

2777

2638

2601

34.051

33.427

32.331

32.255

31.702

624

596

576

553

537

31.165

30.648

30.148

29.663

29.194

517

500

485

469

48.205

47.317

46.469

45 * 646

44.859

888

348

823

787

761

990

1008

1026

10/(4

1062

44.098

43.359

42.643

41.958

41,302

739

716

685

656

635

1080

1098

1116

1134

1152

650

660

670

680

690

4.I856

4.1221

4.0606

4.0008

3,9428

635

615

598

58O

564

16.5359

16.3336

16,0889

15.8516

15.6214

2523

2447

2373

2302

2234

28.745

28, 307

27.881

27.471

27.071

438

426

410

400

337

40.667

40.047

39.441

38,857

33.294

620

606

534

563

547

1170

1188

1206

1224

1242

700

710

720

730

740

3.8864

3.8316

3.7784

3.7267

3.6763

548

532

517

504

490

15.3980

15.1809

14.9700

14.7647

14.5652

2171

2109

2053

1995

1940

26,684 07/,

26.308

25.943 or6

25.537

25.241

37.747

37.216

36.699

36.196

35,707

531

517

503

489

473

1260

1278

1296

1314

1332

750

76O

770

780

790

3.6273

3.5796

3.5331

3.4878

3.4437

477

465

453

441

431

14.3712

14.1822

13.9934

13.8194

13 » 6446

1890

I838

1790

1748

1700

24.907

24.580

24.263

23.952

23.649

327

317

311

303

294

35.234

34.771

34.326

33.386

33.457

463

445

440

429

412

1350

1368

1386

1404

1422

800 3.4006 13.4746 23.355 33.045 1440

-10-
Table 9.18 Density of Oxygen

T

1 10 atm 40 atm 70 atm 100

°K

800 3.4006 -1999

1776

1590

1430

1294

13.4746 -7904

7019

6276

5646

5103

23.355 -1367

1232

1084

975

881

33.045

85O

900

950

3 ,2007

3 0 0231

2,8641

12.6842

11.9823

11.3547

21.988

20.776

19.692

31.116

29.404

27.878

1000 2.7211 10.7901 18,717 26.505

1050 2.5917

II.76

1074

9842

9058

8361

10.2793

4643

4239

3887

3576

3303

17.836 802

733

670

619

569

25.263

1100 2.4741 9. 8150 17.034 24.131

1150 2.3667 9.3911 16.301 23.099

1200 2.26828 9.0024 15.631 22.154

1250 2.17770 8 0 6448 15,012 21.282

1300 2.09409

7742

7191

6695

6248

5847

8.3U5 3058

2840

2646

2470

2311

14.443

528

492

458

426

399

20.480

1350 2.01667 8.0087 13.915 19.735

1400 1.94476 7.7247 13.423 19.041

1450 1.87781 7.4601 12.965 18.395

1500 1.81533 7.2131 12.539 17.794

1550 1.75686

5480

6.9820 2167

2036

1917

1308

1708

12.340

376

17.229

1600 1.70206 6.7653 11.764 16.700

I65O I.65O56 5150

4846

4570

4316

6.5617 11.412 352

332

313

295

16.204

1700 1.60210 6.37OO 11.080 15.735

1750 1.55640 6.1892 10,767 15.293

1800 1,51324 4084

3867

3671

3487

3319

6.0184 1616

1531

1453

1382

1314

10.472 280

265

252

239

228

34.874

I85O 1.47240 5.3568 10.192 34.479

1900 1.43373 5.7037 9.927 34.105

1950 1.39702 5 0 5584 9.675 13.748

2000 1.36215 5.4202 9.436 13.410

2050 1.32096

3159

3012

2876

2749

2627

5.2338 1251

1194

1340

1089

1041

9.208

217

206

198

190

180

13. 088

2100 1.29737 5.1637 8.991 12.781

2150 1.26725 5.0443 8.785 12.488

2200 1.23849 4.9303 8.587 12.208

2250 1.21100 4 * 823.4 8.397 11.941

2300 1.18473 4.7173 8.217 11.686

1929

1712

1526

1373

1242

1132

1032

945

872

802

745

694

646

601

565

529

496

469

442

419

395

374

357

338

322

307

293

280

267

255

p/p0

T

°R

1440

1530

1620

1710

1800

1890

1980

2070

2160

2250

2340

2430

2520

2610

2700

2790

2880

2970

3060

3150

3240

3330

3420

3510

36OO

3690

3780

3870

3960

4050

4340

11-
Table 9.18 Density of Oxygen

T

°K

2300

2350

2400

2450

2500

2550

2600

2650

2700

275O

2800

2850

2900

2950

3000

Pressure

10 atm 40 atm 70 atm 100 atm

1.18473

1.15955

1.13543

1.11229

1.09007

-2518

2412

2314

2222

2135

4.7173

4.6175

4.5218

4.4300

4.3419

-998

957

918

881

847

8.217

8.044

7.878

7.719

7.586

173

166

159

153

147

11.686

11.441

11.206

10.980

IO.763

245

235

226

217

208

1.06872

1.04820

1.02845

1.00943

.99110

2052

1975

1902

I833

1768

4.2572

4.1758

4.0974

4.0219

3.9491

814

784

755

728

701

7.419

7.278

7.142

7.010

6.884

141

136

132

126

122

10.555

10.355

10.161

9.976

200

194

18 5 179

173

.97342

.95636

.93989

.92399

.90861

1706

1647

1590

1538

3.8790

3.8112

3.7458

3.6827

3.6216

678

654

631

611

6.762

6.645

6.531

6.421

6.315

117

114

110

106

9.624

9.457

9.296

9.141

8.990

167

161

155

151

p/p0

T

°R

4140

4230

4320

4410

4500

4590

4680

4770

4860

4950

5040

5130

5220

5310

5400

-12-
Table 9® IS Density of Molecular Oxygen

The Property Tabulated

The density relative to standard conditions, p/pq, of molecular oxygen is tabulated as a function of temperature m degrees

Kelvin and Rankine and as a function of pressure in standard atmospheres. Standard conditions are one atmosphere of pressure and

0°C(273®l6°K) • The densities tabulated herein were computed from

the equation

T

0Z0

P

where P is the pressure in atmospheres, T is the Kelvin temperature,

Z is the compressibility factor given in Table 9®20 of this series

and TqZq/Pq= 272 . 901° K atm”1

.

Reliability of the Table

The values presented in this table are derived from the values

of compressibility in Table 9®20 and have identical errors when

expressed relative to the values tabulated. On the basis of the

estimated errors for that table, this table has entries that may be

in error by 6 in the next, to the last place but many entries are more precise. At low pressures and high temperatures, the values

are subject to considerable change due to dissociation.

Interpolation

The error produced by linear interpolation does not in general

exceed one eighth of the second difference. If greater accuracy is

desired four or five point Lagrangian interpolation may be used.

An alternative method is to interpolate in the table of compressibility to obtain Z at the desired temperature and pressure and then

to calculate p/pq by the above formula 0

-13'
Conversion Factors

The function in this ta.ble has been expressed in dimensionless form. In order that it may be converted readily to any

system of units, values of are listed for frequently used

units. For conversion factors not listed here see Table I.3O

of this series.

To convert tabulated value of ToHaving the dimensions

indicated below

Multiply

by

0

Q. \Q. P g cm“3 1.42900 x 10~3

mole cm"3 4.46564 x 10“

5

g liter“^ I.42904

lb in”3 5.16262 x 10"

5

lb ft”3 .0892101
U, S. Department of Commerce National Bureau of Standards

The NBS-NACA Tables of Thermal Properties

of Gases

Table 9,20 Compressibility Factor for Molecular Oxygen

Z=PV/RT

by

Harold W* Woolley

Reissue

1953

Table 9.20 Compressibility Factor for Oxygen Z=PV/RT

T

°K

Pressure

.01 atm .1 atm .4 atm .7 atm 1 atm

T

°R

100 .99970 , .99781 50

36

26

.99114 206 .98431 371

259

188

.97724

553

375

272

204

156

180

110 .99983 1 .99987 2

.99831 .99320 146

107

80

.98802 .98277 198

120 .99867 .99466 .99061 .98652 216

130 .99989 2 .99893 20 .99573 .99249 142

109

.98924 234

140 .99991 2 .99913 16 .99653

Uv

62 .99391 .99128 252

150 .99993 .99929 12 .99715 49

39

31

25

21

.99500 86 .99284 123

98

78

65

53

270

160 .99994 .99941 10 .99764 .99586 68

55

45

37

.99407 288

170 .99995 .99951

JLV8 .99803 .99654 .99505 306

ISO .99996 .99959

u

6 .99834 .99709 .99583 324

190 .99996 .99965

5 .99859 .99754 .99648 342

200 .99997 .99970 £ .99880 18 .99791 31

26

.99701

44- 37

32

27

23

36O

210 .99997 .99975 q .99898

•LU 15

13

10

.99822 .99745 378

220 .99998 .99978 q .99913 .99848

u 22 .99782 396

230 .99998 .99981 q .99926 .99870 1 8 .99814 414

240 .99998 .99984 2 .99936

9

.99888

-LO 16 .99841 432

250 .99999 .99986 .99945 8 .99904 14

12

.99864

19

17

15

13

11

450

260 .99999 .99988 .99953

O

7

.99918 .99883 468

270 .99999 .99990 .99960 .99930 .99900 486

280 .99999 .99992 .99966 r .99941

J—

L

Q .99915 504

290 .99999 .99993 .99971 2

5

.99950

78 .99928 522

300 .99999 .99994 .99976 4

q

.99958

7

A

.99939 10

9

8

7

6

540

310 .99999 .99995 .99980 .99965 .99949 558

320 1.00000 .99996 .99983

3

q

.99971

5

C .99958 576

330 1.00000 .99997 .99986 .99976 .99966 594

340 1.00000 .99997 .99989 j

3

.99981 J

4

.99973 612

350 1.00000 .99998 .99992 .99985 .99979

5

630

360 1.00000 .99998 .99994 .99989 .99984 648

370 1.00000 .99999 .99996 .99993 .99989 666

380 1.00000 .99999 .99998 .99996 .99994 4

3

684

390 1.00000 1.00000 .99999 .99998 .99998 702

400 1.00000 1.00000 1.00000 1.00001 1.00001 720

410 1.00000 1.00000 1.00002 1.00003 1.00004 738

420 1.00000 1.00001 1.00003 1.00005 1.00007 756

430 1.00000 1.00001 1.00004 1.00007 1.00010 774

440 1.00000 1.00001 1.00005 1.00008 1.00012 792

450 1.00000 1.00002 1.00006 1.00010 1.00014 810
Table 9.20 Compressibility Factor for Oxygen Z-PV/RT

Pressure

T

1 . 01 atm .1 atm .4 atm .17 atm 1 atm 1 T

K

450 1.00000 1.00002 1.00006 1.00010 1.00014

R

810

460 1.00000 1.00002 1.00006 1.00011 1.00016 828

470 1.00000 1.00002 1.00007 1.00012 1.00018 846

480 1.00000 1.00002 1.00008 1.00013 1.00019 864

490 1.00000 1.00002 1.00008 1.00014 1.00020 882

500 1.00000 1.00002 1.00009 1.00015 1.00022 900

510 1.00000 1.00002 1.00009 1.00016 1.00023 918

520 1.00000 1.00002 1.00010 1.00017 1.00024 936

530 1.00000 1.00002 1.00010 1.00017 1.00025 954

540 1.00000 1.00003 1.00010 l.OOOlg 1.00025 972

550 1.00000 1.00003 1.00010 1.00018 1.00026 990

560 1.00000 1.00003 1.00010 1.00019 1.00027 1008

570 1.00000 1.00003 1.00011 1.00019 1.00027 1026

580 1.00000 1.00003 1.00011 1.00020 1.00028 1044

590 1.00000 1.00003 1.00011 1.00020 1.00028 1062

600 1.00000 1.00003 1.00012 1.00020 1.00029 1080

610 1.00000 1.00003 1.00012 1.00020 1.00029 1098

620 1.00000 1.00003 1.00012 1.00021 1.00030 1116

63O 1.00000 1.00003 1.00012 1.00021 1.00030 1134

640 1.00000 1.00003 1.00012 1.00021 1.00030 1152

650 1.00000 1.00003 1.00012 1.00021 1.00030 1170

660 1.00000 1.00003 1.00012 1.00021 1.00030 1188

670 1.00000 1.00003 1.00012 1.00021 1.00031 1206

680 1.00000 1.00003 1.00012 1.00021 1.00031 1224

690 1.00000 1.00003 1.00012 1.00022 1.00031 1242

700 1.00000 1.00003 1.00012 1.00022 1.00031 1260

710 1.00000 1.00003 1.00012 1.00022 1.00031 1278

720 1.00000 1.00003 1.00012 1.00022 1.00031 1296

730 1.00000 1.00003 1.00012 1.00022 1.00031 1334

740 1.00000 1.00003 1.00012 1.00022 1.00031 1332

750 1.00000 1.00003 1.00012 1.00022 1.00031 1350

76O 1.00000 1.00003 1.00012 1.00022 1.00031 1368

770 1.00000 1.00003 1.00012 1.00022 1.00031 1386

780 1.00000 1.00003 1.00012 1.00022 1.00031 1404

790 1.00000 1.00003 1.00012 1.00022 1.00031 1422

800 1.00000 1.00003 1.00012 1.00022 1.00031 1440

-2-
Table 9.20 Compressibility Factor for Oxygen z=pv/rt

Pressure

o

T

; .01 atm .1 atm .4 atm .7 atm 1 atm 1 T

°K

800 1.00000 1.00003 1.00012 1.00022 1.00031

°R

1440

850 1.00000 1.00003 1.00012 1.00021 1.00031 1530

900 1.00000 1.00003 1.00012 1.00021 1.00030 1620

950 1.00000 1.00003 1.00012 1.00021 1.00029 1710

1000 1.00000 1.00003 1.00012 1.00020 1.00029 1800

1050 1.00000 1.00003 1.00011 1.00020 1.00028 1890

1100 1.00000 1.00003 1.00011 1.00019 1.00027 1980

1150 1.00000 1.00003 1.00011 1.00019 1.00027 2070

1200 1.00000 1.00003 1.00010 1.00018 1.00026 2160

1250 1.00000 1.00003 1.00010 1.00018 1.00025 2250

1300 1.00000 1.00002 1.00010 1.00017 1.00025 2340

1350 1.00000 1.00002 1.00010 1.00017 1.00024 2430

1400 1.00000 1.00002 1.00009 1.00016 1.00023 2520

1450 1.00000 1.00002 1.00009 1.00016 1.00023 2610

1500 1.00000 1.00002 1.00009 1.00015 1.00022 2700

1550 1.00000 1.00002 1.00009 1.00015 1.00022 2790

1600 1.00000 1.00002 1.00008 1.00015 1.00021 2880

I65O 1.00000 1.00002 1.00008 1.00014 1.00020 2970

1700 1.00000 1.00002 1.00008 1.00014 1.00020 3060

1750 1.00000 1.00002 1.00008 1.00014 1.00020 3150

1800 1.00000 1.00002 1.00008 1.00013 1.00019 3240

I85O 1.00000 1.00002 1.00007 1.00013 1.00019 3330

1900 1.00000 1.00002 1.00007 1.00013 1.00018 3420

1950 1.00000 1.00002 1.00007 1.00012 1.00018 3510

2000 1.00000 1.00002 1.00007 1.00012 1.00017 36OO

2050 1.00000 1.00002 1.00007 1.00012 1.00017 3690

2100 1.00000 1.00002 1.00007 1.00012 1.00017 3780

2150 1.00000 1.00002 1.00006 1.00011 1.00016 3870

2200 1.00000 1.00002 1.00006 1.00011 1.00C16 3960

2250 1.00000 1.00002 1.00006 1.00011 1.00016 4O5O

2300 1.00000 1.00002 1.00006 1.00011 1.00015 4140

-3-
Table 9.20 Compressibility Factor for Oxygen Z=PV/RT

Pressure

T

°K

2300

1 .01 atm .1 atm .4 atm .7 atm 1 atm ' T

n

1.00000 1.00002 1.00006 1.00011 1.00015

°R

4140

2350 1.00000 1.00001 1.00006 1.00010 1.00015 4230

2400 1.00000 1.00001 1.00006 1.00010 1.00015 4320

2450 1.00000 1.00001 1,00006 1.00010 1.00014 4410

2500 1.00000 1.00001 1.00006 1.00010 1.00014 4500

2550 1.00000 1.00001 1.00005 1.00010 1.00014 4590

2600 1.00000 1.00001 1.00005 1.00009 1.000:4. 4630

2650 1.00000 1.00001 1.00005 1.00009 1.00013 4770

2700 1.00000 1.00001 1.00005 1.00009 1.00013 4860

2750 1.00000 1.00001 1.00005 1.00009 1.00013 4950

2300 1.00000 1.00001 1.00005 1.00009 1.00013 5040

2350 1.00000 1.00001 1.00005 1.00009 1.00012 5130

2900 1.00000 1.00001 1.00005 1,00009 1.00012 5220

2950 1.00000 1.00001 1.00005 1.00003 1.00012 5310

3000 1.00000 1.00001 1.00005 1.00003 1.00012 5400

-4-
Table 9.20 Compressibility Factor for Oxygen Z=PV/RT

T

°K

100

110

120

130

140

150

160

170

ISO

190

200

210

220

230

240

250

260

270

280

290

300

310

320

330

340

350

36O

370

380

390

400

410

420

430

440

450

1 atm 4 atm 7 atm 10 atm

R

.97724

.98277

.93652

.93924

.99128

553

375

272

204

156

.9227

.9427

.9553

.9642

200

126

89

66

.891

.9179

.9353

27

174

124

.876

.9043

28

193

180

198

216

234

252

.99284

.99407

.99505

.99583

.99648

123

93

78

65

53

.9 38

.9/59

.9799

.9832

.9858

51

40

33

26

21

.9477

.9571

.9044

.9702

.9749

94

73

58

47

39

.9236

.9377

.9486

.9571

.9640

141

109

85

69

56

270

288

306

324

342

.99701

.99745

.99732

.99334

.99841

44

37

32

27

23

.98796

.93976

.99126

.99253

.99361

180

150

127

108

92

.97830

.93199

.98465

.93690

.98880

319

266

225

190

163

.96956

.97417

.97801

.98125

.98399

461

334

324

274

234

36O

378

396

414

432

.99364

.99333

.99900

.99915

.99923

19

17

15

13

11

.99453

.99533

.99602

.99661

.99713

80

69

59

52

46

.99043

.99133

.99304

.99408

.99500

140

121

104

92

80

.93633

.93833

.99006

.99157

.99288

200

173

151

131

114

450

468

486

504

522

.99939

.99949

.99958

.99966

.99973

10

9

8

7

6

.99759

.99799

.99334

.99865

.99893

40

35

31

23

25

.99580

.99650

.99712

.99766

.99315

70

62

54

49

43

.99402

.99502

.99590

.99668

.99738

100

88

78

70

61

540

558

576

594

612

.99979

.99934

.99989

.99994

.99998

5

5

5

4

3

.99918

.99940

.99959

.99976

.99992

22

19

17

16

14

.99858

.99396

.99930

.99960

.99937

33

34

30

27

25

.99799

.99853

.99902

.99945

.99934

54

49

43

39

35

630

648

666

684

702

,.00001

.00004

.00007

.00010

.00012

3

3

3

2

2

1.00006

1.00018

1.00030

1.00040

1.00049

12

12

10

9

8

1.00012

I.OOO34

I.OOO53

1.00071

1.00087

22

19

18

16

14

1.00019

I.00050

I.OOO78

1.00103

1.00126

31

28

25

23

20

720

738

756

774

792

.00014 I.OOO57 1.00101 1.00146 810

-5-
Table z=pv/rt ^.20 Compressibility Factor for Oxygen

Pressure

T

r\

1 1 atm 4 atm 7 atm 10 atm

°K

450 1.00014 I.OOO57 1.00101

13

12

1.00146

19

16

IS

14

12

460 1.00016 I.OOO65 8

L 1.00114 I.OOI65

470 1.00018 1; 00071 O

6

6

5

1.00126 1.00181

480 1.00019 1.00077 I.OOI36 10

10

8

1.00196

490 1.00020 1.00083 1.00146 1.00210

500 1.00022 1.00088 1.00154 ft 1.00222 11

510 1.00023 1.00092 1.00162 7 1.00233 0

520 a. 00024 1.00096 1.00169 i A 1.00242 70

530 *1.00025 1.00099 1.00175 A 1.00251 7

ft 540 4L .00025 ' 1.00103 1.00181

5

1.00259

7

550 1.00026 1.00106 1.00186 1.00266 7

56O 1.00027 1.00108 1.00190 . 1.00273 tA

570 1.00027 1.00110 -1.00194 1.00279 K 580

' 1.00028 1.00112 •1.00198 1.00284 7

J. 590 1.00028 1.00114 1.00201 1.00288

4

600 1.00029 1.00116 1.00204 1. Q0292

610 1.00029 1.00117 1.00206 1.00296

620 41.00030 1.00119 1.00208 1.00299

630 1.00030 1 1.00120 1.00210 1.60302

640 1.00030 1.00121 1.00212 1.00304

650 1.00030 1.00122 1.00214 I.OO3O6

660 1.00030 1.00122 1.00215 I.OO3O8

67O 1.00031 1.00123 1.00216 1.00309

680 1.00031 1.00123 1.00217 1.00310

690 1.00031 1.00124 1.00217 1.00311

700 1.00031 1.09124' 1.00218 1.00312

710 A. 00031 1.9(2124 1.00218 I.OO3I3

720 1.90031 1.(50125 1.00219 I.OO3I3

730 1.00031 1.00125 1.00219 I.OO3I3

740 1.00031 1.00125 1.00219 I.OO3I3

750 1.00031 1.00125 1.00219 I.OO3I3

76O 1.00031 1.00125 1.00219 I.OO3I3

770 1.00031 1.00125 1.00219 I.OO3I3

780 1.00031 1.00125 1.00218 I.OO3I3

790 1.00031 1.00125 1.00218 1.00312

800 1.00031 1.00124 1.00218 1.00311 1440

—6—

I0I0S0HH

PHpOO

OOoSvO

O'O^O^vO

C»

(»

<»

0}0

Q.

MOW

OVJi

U)

HvO-<!

O'

-MO

O

OP!

Vn

VP> H

vO

»

OnJ^W

0\0

-P!

ViU)

H

O

COO-P*

K>H

O

W-p-OCQ-O

M-P-CTnOO-O

MPCM»

O

rO-p-ONCQ-O

JO-p-OCO-O

W-p-005-0

MPOI»0

W

t-3
Table 9*20 Compressibility Factor for Oxygen Z=PV/RT

Pressure

T

oTr

1 1 atm 4 atm 7 atm 10 atm

oT

K

800 1.00031 1.00124 1.00218 1.00311

R

1440

850 1.00031 1.00123 1.00215 I.OO3O7 1530

900 1.00030 1.00121 1.00211 1.00302 1620

950 1.00029 1.00118 1.00207 1.00295 1710

1000 1.00029 1.00115 1.00202 1.00288 1800

1050 1.00028 1.00112 1.00197 1.00281 1890

1100 1.00027 1.00109 1.00192 1.00274 1980

1150 1.00027 1.00107 1.00187 1.00267 2070

1200 1.00026 1.00104 1.00182 1.00260 2160

1250 1.00025 1.00101 1.00177 1.00253 2250

1300 1.00025 1.00098 1.00172 1.00246 2340

1350 1.00024 1.00096 1.00167 1.00239 2430

1400 1.00023 1.00093 I.OOI63 1.00233 2520

1450 1.00023 1- 00091 1.00159 1.00227 2610

1500 1.00022 1.00088 I.OOI55 1.00221 2700

1550 1.00022 1.00086 1.00151 1.00216 2790

1600 1.00021 1.00084 1.00147 1.00210 2880

I65O 1.00020 1.00082 1.00143 1.00205 2970

1700 1.00020 1.00080 1.00140 1.00200 3060

1750 1.00020 1.00078 I.OOI36 1.00195 3150

1800 1.00019 I.OOO76 I.OOI33 1.00190 3240

1850 1.00019 1.00074 1.00130 1.00186 3330

1900 1.00018 1.00072 1.00127 1.00181 3420

1950 1.00018 1.00071 1.00124 1.00177 3510

2000 1.00017 1.00069 1.00121 1.00173 36OO

2050 1.00017 1.00068 1.00119 io 00170 3690

2100 1.00017 1.00066 1.00116 1.00166 3780

2150 1.00016 I.OOO65 1.00114 1.00162 3870

2200 1.00016 I.OOO63 1.00111 1.00159 3960

2250 1.00016 1.00062 1.00109 I.OOI56 4050

2300 1.00015 1.00061 1.00107 1.00152 4140

-7-
Table 9.20 Compressibility Factor for Oxygen z=pv/rt

T

n

1 atm 4 atm 7 atm 10 atm 1 T

ft °K

2300 1.00015 1.00061 1.00107 1.00152

R

4140

2350 1.00015 1.00060 1.00104 1.00149 4230

2400 1.00015 I.OOO58 1.00102 1.00146 4320

2450 1.00014 I.OOO57 1.00100 1.00143 4410

2500 1.00014 I.OOO56 1.00098 1.00141 4500

2550 1.00014 I.OOO55 1.00097 I.OOI38 4590

2600 1.00014 1.00054 1.00095 I.OOI35 4680

265O 1.00013 I.OOO53 1.00093 1.00133 4770

2700 1.00013 I.OOO52 1.00091 1.00130 4860

2750 1.00013 1.00051 1.00090 1.00128 4950

2800 1.00013 1.00050 1.00088 1.00126 5040

2850 1.00012 1.00049 1.00087 1.00124 5130

2900 1.00012 1.00049 1.00085 1.00122 5220

2950 1.00012 1.00048 1.00084 1.00119 5310

3000 1.00012 1.00047 1.00082 1.00117 5400
Table 9.20 Compressibility Factor for Oixygen z=pv/rt

^ 10 atm

T

°K

100

110

120

130

140

40 atm

Pressure

70 atm 100 atm

150

160

170

180

190

.9236

.9377

94S6

.9571

.9640

14I

109

85

69

56

.696

.765

.812

.847

69

47

35

26

.525

.643

.721

118

73

55

.452

.595 143

92

200 .96956 , 6l .8734 209

210 .97417 .0943 169

220 .97001 o 2a .9112 1Cig

230 .90125 274 »925° !ic

240 .90399 234 *9365 97

.7764

.8172

.8487

.8737

.8940

408

315

250

203

168

.6871

.7512

.7900

.0337

.8617

641

468

357

280

228

250 .98633

260 .98833

270 .99006

280 .99157

290 .99288

200 *9462

172 .95442

nil .96345

131 .9675!

114 * 99235

822

703

606

524

456

.9108

.9249

.9368

.9471

.9559

341

119

103

88

77

.8845

.9033

.9191

.9326

.9441

188

158

135

115

100

300 .99402

310 .99502

320 .99590

33O .99668

340 .99730

100

88

78

70

61

.97731

.90129

.90479

.90707

.99059

398

350

308

272

241

.9636 66 .9541

.9702 ,9 .9628

.9761 .9705

.9812 r 6 .9773

.9858 40 .9834

07

77

68

61

53

350 .99799 c. 360 .99053 ? 9

370 .99902 74

380 .99945 39

390 .99904 35

.99300 213 .9098

.99513 -mo .9934

.99702 1?4 .9965

.99073 .9994

1.00026 ^3 1.0019

36

31

29

25

23

.9087

.9934

.9976

1,0014

1.0049

47

42

30

35

30

400 1.00019

410 I.00050

420 1.00078

430 1.00103

440 1.00126

01 1.00161

1.00280

23 1.00389

23 1.00487

20 1.00574

2 o 1.0042

QQ 1.0062

03 1.0080

87 1.0097

73 1.0111

20

18

17

14

13

1.0079

1.0106

1.0130

1.0153

1.0172

27

24

23

19

18

450 1.00146 I.OO652 1.0124 1.0190

T

°R

180

198

216

234

252

270

288

306

324

342

360

370

396

414

432

450

46S

486

504

522

540

550

576

594

612

630

64S

666

684

702

720

730

756

774

792

810

-9-
Table 9.20 Compressibility Factor for Oxygen z=pv/rt

Pressure

T

o T

1 10 atm 40 atm 70 atm 100 atm n

T

O-n K

450 1.00146

19

1 6

I.OO652

71

63

1.0124

12

11

1.0190

15

16

12

11

12

R

810

460 I.OOI65 1.00723 I.OI36 1.0205 828

470 1.00181

15

14

12

1.00786 1.0147 1.0221 846

480 1.00196 1.00843 57

51

48

I.OI56 9

0 1.0233 864

490 1.00210 1.00894 I.OI65 9

8

1.0244 882

500 1.00222 11

Q

1.00942

41

36

33

31

27

1.0173 L 1.0256 Q 900

510 1.00233 1.00983 1.0179

O

7

r

1.0265 9

8

7

8

5

918

520 1.00242 JO 1.01019 1.0186 1.0273 936

530 1.00251 9

8

7

1.01052 1.0191 5

5

4

1.0280 954

540 1.00259 1.01083 1.0196 1.0288 972

550 1.00266

7

4

1.01110

24

21

19

16

15

1.0200 r 1.0293 i' 990

560 1.00273 1.01134 1.0205 53

3

2

3

1.0299

O

4

5

3

3

1008

57O 1.00279

O

C I.OII55 1.0208 I.O3O3 1026

58O

590

1.00284

1.00288

6

4

4

1.01174

1.01190

1.0211

1.0213

1.0308

1.0311

1044

1062

600 1.00292 1.01205

13

12

10

ft

1.0216 1.0314 1080

610 1.00296 1.01218 1.0218 1.0318 1098

620 1.00299 1.01230 1.0220 1.0322 1116

630 1.00302 1.01240 1.0222 1.0324 1134

640 1.00304 1.01248

O

6

1.0224 1.0324 1152

650 1.00306 1.01254

6

6

1.0224 1.0324 1170

660 I.OO3O8 1.01260 1.0225 1.0325 1188

670 1.00309 1.01266 h 1.0226 I.O327 1206

680 1.00310 1.01270

3

2

1.0226 1.0328 1224

690 1.00311 1.01273 1.0227 1.0328 1242

700 1.00312 1.01275 1.0227 1.0328 1260

710 I.OO3I3 1.01276 1.0227 1.0328 1278

720 I.OO3I3 1.01277 1.0227 1.0328 1296

730 I.OO3I3 1.01278 1.0227 1.0328 1314

740 I.OO3I3 1.01278 10.227 1.0328 1332

750 I.OO3I3 1.01277 1.0226 I.O327 1350

76O I.OO3I3 1.01276 1.0226 1.0327 1368

770 I.OO3I3 1.01273 1.0225 I.O325 1386

780 I.OO3I3 I.OI27O 1.0225 I.O325 1404

790 1.00312 1.01269 1.0225 I.O325 1422

800 1.00311 I.OI265 1.0224 I.O323 1440

-10-
Table 9*20 Compressibility Factor for Oxygen Z=PV/RT

Pressure

T

o

r^T^atm“ 40 atm 70 atm 100 atm -t T

°K

800

850

900

950

1000

lo 00311 j 1.00307 r 1.00302 4

lo 00295

1*00288

1,01265

1.01247 0; 1,01223

1,01X96

“27

1,01167 I30

1 » 0224 0

1.0221 “i

1.0216 “4

1,0211 ”i

1,0206 I?

1*0323 _r

1,0318 9

1,0312

1.0304 i

1,0296 1

°

°R

1440

1530

1620

1710

1800

1050

1100

1150

1200

1250

1,00281 „ 1,00274

1,00267 7

1,00260

1,00253 ”4

" 1

1,01137

1,01107 4,

13 OIO76 3

“ 1,01047 on 1,01018 Ip'

1,0200

1.0195 "r

1,0190 "?

1,0184 ”,

1,0180 I|

1,0288 7

1,0281 a 1,0273 "r

1,0265

1,0258 Ig

1890

1980

2070

2160

2250

1300

1350

1400

1450

1500

1,00246 7

1.00239 5 1,00233 < 1,00227 / 1,00221 "5

1.00991

p 7

1.00964 J

1*00933 I"

1, 00934 57

1,00890 Ip^

1.0174 p 1.0169 “V

I.OI65 7

1,0161 7

1.0156 I7

1,0250 ?

1,0243 ”/

1,0237 1

1*0231 7

1.0224 1^

2340

2430

2520

2610

2700

1550

1600

I65O

1700

1750

1,00216 / 1,00210

1,00205 i

1,00200

1.00195 I5

1,00867 pp

1,00845 pp

1,00823 pp

1,00803 “;

0

1,00783 :18

1.0152

1.0149 ; 1,0145 ; 1,0141 p 1.0138 1^

1,0219 , 1,0213 "/

1,0207

1,0202 “4

1.0197 zi

2790

2880

2970

3060

3150

1800

I85O

1900

1950

2000

1,00190 , 1.00186

1.00181 ”?

1,00177 “7

1,00173

1.00765

1,00747 Ijo

1,00728 77

1,00711

1,00696 ,4

Io 0l34 0

1,0131 ^ 1,0128 "4

1,0.125 "7

1,0122

1*0193 , 1,0188 7

1.0183 ”?

1.0179 7

1,0175 Il

3240

3330

3420

3510

36OO

2050

2100

2150

2200

2250

1,00170 , 1,00166 “?

1,00162 “'1 1,00159 p

1,00156

1.00681 8 1,00666

I.OO652 ”77

1.00638 "77

1,00624 1^7

1.0119 0

1,011? p

I0OII4 “p

1.0112 p

1.0110 1^

1.0171 . 1,0167 ”7

1,0164

1.0161 “7

1,0157 I

£

3690

3780

3S7O

3960

4050

2300 1,00152 1,00610 1.0107 I.OI53 4140

11-
Table 9.20 Compressibility Factor for Oxygen Z=PV/RT

Pressure

T

n_

1 10 atm 40 atm 70 atm 100 atm 1

°K

23OO

2350

1.00152

1.00149 ~{

1.00146

1.00610 10

1.00593

1.00586

1.00575 "77

I.OO564 “2

1.0107 9

1.0105 9

1.0153 0

1.0150 “7

R

4140

4230

2400 1.0103 1.0147

1.0U4 “is 4320

2450 1.0014-3 3 1.0101 4410

2500 1.00141 1.0099 “2 1.0142 4500

2550 1.00138 I.OO553

1.00543 “tn

1.00533 “tn

1.00523

1.0097 9 1.0139 Q

1.0136 “7

4590

2600 1.00135 “l 1.0095 9 4680

265O 1.00133 “Z 1.0093 T 1.0092

1.0134 4770

2700 1.00130 1.0131

~3

0 4360

2750 1.00128 I.OO5I4 “ ' 1,0090 1.0129 “g 4950

2800 1.00126 I.OO5O5 1.0089 9 1,0127 9 5040

2350 1.00124 9 1.00496 ” ' 1.00483 “ “ 1.0037 "7

1.0036

1.0125 5130

2900 1.00122

1.00119 ^

1.0122 "7

1.0120

~~

5220

2950 1.00479 ~

4

1.00471

“ 1.0084

1.0033

5310

3000 1.00117 1.0118 5400

-12-
Table 9.20 Compressibility Factor for Molecular Oxygen

The Property Tabulated

The dimensionless compressibility factor, Z = PV/RT, for molecular

oxygen is tabulated in terms of temperature in degrees Kelvin and

Rankine. The values are those which would exist if there were no dissociation within the range covered® The effect of dissociation can be

estimated using formulas discussed in reference [ 9 ]. The tables are computed from the virial equation:

Z = 1 + BP + CP

2

+ DP3

The coefficients B and C were calculated from the Lennard-Jones potential,

using intermolecular force constants as parameters®

The parameter values for the second virial coefficients, B, were

obtained by a graphical method which permits the simultaneous fit of

data on the Joule-Thomson coefficient and on the pressure dependence of

PV/RT, [1] - [6], internal energy, specific heat, and velocity of sound.

The experimental third virials, C, were fitted using the second virial

coefficient parameters only for a cluster of two and graphically determined values of the parameters for a cluster of three, according with the

fact that the equilibrium constant for the formation of a cluster of three

is K„ = (2B^ - C/2)/(RT)2. The modification of the usual Lennard-Jones

[ 7 ] "treatment was undertaken in an effort to provide a more applicable

model for o:xygen, than is afforded by the unmodified theory.

Reliability of the table

The compressibility values tabulated herein are considered reliable

to approximately one unit in next to the last place tabulated for most

entries. Below 300°K the reliability decreases to about 3 units in the

next to the last tabulated place. Figures 1 and 2 show the departures

of experimental compressibilities from the tabulated values.

Interpolation

The validity of linear interpolation in both temperature and pressure

varies throughout the table. The error produced thereby does not, in

general, exceed one-eighth of the second difference. First differences in

the temperature direction are given for assistance in interpolation where

they seem helpful. The pressure intervals have been chosen to facilitate

three and four point Lagrangian interpolation [S] in each decade. Use of

this method is recommended when errors produced by linear interpolation

approach the uncertainty of the table.

-13-
Conversion Factors

The compressibility factor is dimensionless, Values of the gas

constant R are listed for frequently used units in order to facilitate

the use of this table in calculating, by means of the equation Z = PV/RT,

the pressure P, the specific volume V, (or the denisyt p = l/v), or the

temperature T, when any two of these are known. The values given below

are based on a molecular weight of 32 * 000 .

Values of R for Oxygen

For temperatures in degrees Kelvin

atm Kg/cm

2

mm Hg lb/in2

g/cm3 2.56427 2 . 64948 1943 . 85 37.6847

mole/cm3 82.0567 84.7032 62363 .I 1205*91

mole/liter 0,0820544 0.0847809 62,3613 I .20587

lb/ft3 0,0410756

. 0.0424403 31,2175 0.603647

lb mole/ft3 1*33442 1.35309 993.959 19.3167

For temperatures in degrees Rankine

atm Kg/era- mm Hg lb/in2

g/cm3 1.42459 1.47193 1082,69 20,9358

mole/cm3 45.5370 47.1017 34646.1 669.947

mole/liter 0.0455357 0,0471004 34.6451 0.669928

lb/ft3 0.0223197 0.0235780 17.3430 0.335359

lb mole/ft3

L O.73023I 0.754495 —

j

554.976 10.7315

-14-
REFERENCES

[1] G. P. Baxter and H. W. Starkweather, The density of oxygen and

its compressibility below one atmosphere, Proc. Nat. Acad.

Sci. 12, 699-703(1926).

?» [2] W. Heuse and J. Otto, Uber eine Neubestimmung des Grenzwartes der

Ausdehnungs-und Spannungskoeffizienten von Helium, Wasserstoff

,

und Stickstoff, Ann. Physik, series 2, 1012(1929).

SJ [3] L. Holbom and J. Otto, Uber die Isothermen einiger Gase zwischen

400° und -183°, Z. Physik, 33, 1(1925).

[4] H. Kammerlingh Qmnes and H. A. Kuypers, Isotherms of Oxygen at

low temperatures, Commun. Lab. Leiden No. 169a (1925).

C 5] G. P. Nijhoff and W. H. Keesom, Isotherms of diatomic substances

and their binary mixtures, XXXIII, Isotherms of oxygen between

-40° and -152. 5° and pressures from 3 to 9 atmospheres, Commun.

Lab. Leiden No. 1791 (1925).

[6] A. Th. van Urk and G. P. Nijhoff, Isotherms of oxygen at 20°,

15.6°, and 0°, Commun. Lab. Leiden No. 169c (1925).

[7] R. B. Bird, E. L. Spotz, and J. 0. Hirschfelder, The third virial

coefficient for non-polar gases, J. Chem. Phys. 18, 1395-1402

(1950).

“

[8] "Tables of Lagrangian Interpolation Coefficients", Columbia

University Press, New York, N. Y. (1944).

[9] H. W. Woolley, "The effect of dissociation on the thermodynamic

properties of pure diatomic gases". Report No. 1884, National

Bureau of Standards, October 15, 1952.

-15-

%

DEPARTURE %

DEPARTURE

Uo S. Department of Commerce National Bureau of Standards

The NBS - NAC.A Tables of Thermal Properties of Gases

Table 9, 22 Enthalpy and Entropy of Oxygen

(FI - Eg)/RT0 , S/R

by

Harold W. Woolley

June 1953

Table 9.22/1

i 01 atm

Enthalpy of Molecular Oxygen

Pressure

. 1 atm 4 atm

(H - E§)/RT 0

7 atm 1 atm

? T

°R

100

110

120

130

140

150

1-60

170

180

190

200

210

220

230

240

250

260

270

280

290

300

310

320

330

340

350

360

370

380

390

400

410

420

430

440

450

1. 2772

1. 4054

1. 5335

1. 6618

1. 7900

1282

1281

1283

1282

1282

lc 2752

lc 4037

lc 5321

lc 6605

I. 7888

1285

1284

1284

1283

1284

I. 2687

I. 3981

1 5273

I. 6563

I. 7851

1294

1292

1290

1288

1287

lc 2625

I. 3925

I. 5223

lc 65 1 9

1, 7812

1300

1298

1296

1293

1293

I. 254

I. 3865

I. 5175

I. 6477

lc 7775

1. 9182

2. 0463

2. 1745

2. 302?

2. 4309

1281

1282

1282

1282

1283

1 9172

2, 0454

2o 1737

2. 3020

2. 4302

1282

1283

1283

1282

1284

I. 9138

2. 0424

2. 1709

2c 2995

2c 4279

1286

1285

1286

1284

1286

lc 9105

2. 0393

2. 1682

2. 2970

2c 4256

1288

1289

1288

1286

1288

lc 9070

2. 0362

2c 1654

2. 2944

2. 4233

2. 5592

2. 6874

2. 8157

2. 9441

3. 0725

1282

1283

1284

1284

1287

2c 5586

2. 6868

2. 8152

2. 9436

3c 0721

1282

1284

1284

1285

1286

2. 5565

2. 6849

2c 8134

2, 9420

3c 0705

1284

1285

1286

1285

1288

2. 5544

2. 6829

2c 8116

2. 9403

3c 0690

1285

1287

1287

1287

1288

2. 5523

2c 6810

2. 8098

2. 9386

3c 0674

3. 2012

3. 3298

3. 4586

3. 5875

3. 7166

1286

1288

1289

1291

1293

3. 2007

3, 3293

3c 4582

3. 5871

3„ 7162

1286

1289

1289

1291

1293

3c 1993

3c 3280

3c 4569

3c 5859

3. 7151

1287

1289

1290

1292

1294

3. 1978

3, 3266

3c 4556

3c 5847

3c 7140

1288

1290

1291

1293

1294

3c 1963

3, 3253

3c 4544

3c 5835

3c 7129

3. 8459

3c 9754

4= 1051

4, 2351

4c 3854

1295

1297

1300

1303

1306

3c 8455

3c 9751

4. 1048

4. 2348

4. 3651

1296

1297

1300

1303

1306

3c 8445

3c 9741

4c 1039

4, 2339

4. 3643

1296

1298

1300

1304

1307

3. 8434

3c 9731

4. 1029

4. 2331

4, 3635

1297

1298

1302

1304

1307

3c 8424

3c 9721

4. 1020

4. 2322

4. 3626

4c 4960

4, 6269

4. 7582

4. 8898

5. 0218

1309

1313

1316

1320

1324

4, 4957

4. 6267

4. 7580

4c 8896

5c 0216

1310

1313

1316

1320

1324

4c 4950

4c 6259

4= 7573

4c 8889

5 0210

1309

1314

1316

1321

1324

4, 4942

4. 6252

4. 7566

4. 8883

5. 0204

1310

1314

1317

1321

1324

4. 4934

4c 6245

4c 7559

4. 8876

5c 0197

5. 1542

5. 2869

5c 4201

5, 5537

5c 6877

1327

1332

1336

1340

1345

5c 1540

5c 2867

5c 4199

5. 5535

5c 687 5

1327

1332

1336

1340

1346

5. 1534

5 2862

5. 4194

5c 5530

5c 6871

1328

1332

1336

1341

1345

5. 1528

5, 2856

5. 4189

5c 5526

5c 6866

1328

13 3 $

1337

1340

1346

5c 1523

5c 2851

5c 4184

5c 5521

5, 6862

5c 8222 5c 8221 5. 8216 5. 8212 5c 8208

132

1310

1302

1298

1295

1292

1290

1289

1290

1287

1288

1288

1288

1289

1290

1291

1291

1294

1295

1297

1299

1302

1304

1308

1311

1314

1317

1321

1326

1328

1333

1337

1341

1346

180

198

216

234

252

270

288

306

324

342

360

378

396

414

432

450

468

486

504

522

540

558

576

594

612

630

648

666

684

702

720

738

758

774

792

810

1
Table 9.22/1 Enthalpy of Molecular Oxygen (H-E^/RTq

Pressure

T

. 01 atm . 1 atm . 4 atm . 7 atm 1 atm 1 T

°K °R

450

460

470

480

490

5, 8222

5. 9571

6. 0924

6. 2282

6. 3644

1349

1353

1358

1362

1367

5. 8221

5. 9570

6. 0923

6. 2281

6. 3643

1349

1353

1358

1362

1367

5. 8216

5. 9566

6. 0919

6. 2277

6. 3639

1350

1353

1358

1362

1368

5. 8212

5. 9561

6. 0915

6. 2274

6. 3636

1349

1354

1359

1362

1368

5. 8208

5. 9.557

6. 0911

6, 2270

6 3633

1349

1354

1359

1363

1367

810

828

846

864

882

500

510

520

530

540

6. 5011

6. 6382

6. 7758

6. 9138

7. 0523

1371

1376

1380

1385

1389

6. 5010

6. 6381

6, 7757

6. 9137

7. 0522

1371

1376

1380

1385

1389

6. 5007

6. 6378

6. 7754

6, 9134

7. 0520

1371

1376

1380

1386

1389

6. 5004

6. 6375

6. 7751

6. 9132

7. 0517

1371

1376

1381

1385

1390

6. 5000

6. 6372

6. 7749

6. 9129

7. 0515

1372

1377

1380

1386

1389

900

918

936

954

972

550

560

570

580

590

7. 1912

7. 3306

7. 4704

7. 6106

7, 7513

1394

1398

1402

1407

1411

7. 1911

7. 3305

7. 4703

7. 6105

7. 7512

1394

1398

1402

1407

1411

7. 1909

7. 3303

7. 47 01

7. 6104

7. 7511

1394

1398

1403

1407

1411

7. 1907

7 3301

7. 4699

7. 6102

7. 7509

1394

1398

1403

1407

1411

7.1904

7. 3299

7. 4697

7. 6100

7. 7507

1395

1398

1403

1407

1412

990

1008

1026

1044

1062

600

610

620

630

640

7. 8924

8. 0339

8. 1758

8. 3181

8. 4609

1415

1419

1423

1428

1431

7. 8923

8. 0339

8. 1758

8. 3181

8. 4609

1416

1419

1423

1428

1431

7. 8922

8. 0337

8. 1756

8. 3179

8. 4608

1415

1419

1423

1429

1431

7. 8920

8. 0336

8. 1755

8. 3178

8. 4607

1416

1419

1423

1429

1431

7. 8919

8. 0334

8. 1754

8. 3177

8. 4606

1415

1420

1423

1429

1431

1080

1098

1116

1134

1152

650

660

670

680

690

8, 6040

8. 7476

8. 8915

9. 0358

9. 1805

1436

1439

1443

1447

1450

8. 6040

8. 7476

8. 8915

9. 0358

9. 1805

1436

1439

1443

1447

1450

8. 6039

8. 7475

8. 8914

9. 0357

9. 1804

1436

1439

1443

1447

1450

8. 6038

8. 7474

8. 8913

9. 0357

9. 1804

1436

1439

1444

1447

1450

8 6037

8. 7473

8. 8913

9. 0356

9, 1803

1436

1440

1443

1447

1451

1170

1188

1206

1224

1242

700

710

720

730

740

9. 3255

9. 4709

9. 6167

9. 7628

9. 9093

1454

1458

1461

1465

1468

9. 3255

9. 4709

9. 6167

9. 7628

9. 9093

1454

1458

1461

1465

1468

9. 3254

9. 4709

9. 6167

9. 7628

9. 9093

1455

1458

1461

1465

1468

9 3254

9. 4708

9. 6166

9. 7628

9. 9093

1454

1458

1462.

1465

1468

9. 3254

9. 4708

9. 6166

9 7628

9. 9093

1454

1458

1462

1465

1468

1260

1278

1296

1314

1332

750

760

770

780

790

10. 0561

10. 2032

10. 3507

10. 4985

10. 6466

1471

1475

1478

1481

1484

10. 0561

10. 2032

10. 3507

10. 4985

10. 6466

1471

1475

1478

1481

1484

10. 0561

10. 2032

10. 3507

10. 4985

10. 6466

1471

1475

1478

1481

1485

10. 0561

10. 2032

10. 3507

10. 4986

10. 6467

1471

1475

1479

1481

1484

10 0561

10. 2032

10 3508

10. 4986

10. 6467

1471

1476

1478

1481

1484

1350

1368

1386

1404

1422

800 10. 7950 10. 7950 10. 7951 10. 7951 10. 7951 1440

- 2 -
Table

T

°K

800

850

900

950

1000

1050

1100

1150

1200

1250

1300

1350

1400 t 1450

1500

1550?

1600

1650

1700

1*750

1800

1850

1900

1950

2000

2050

2100

2150

2200

2250

2300

9. 22/1 Enthalpy of Molecular Oxygen (H-Eq)/RTq

Pre ssure

,01 atm . 1 atm . . 4 atm . 7 atm 1 atm 1

10,7950

11,5414

12,2946

13.0541

13,8193

7464

7 532

7595

7652

7703

10.7950

11.5414

12.2946

13.0541

13.8194

7464

7532

7595

7653

7703

10.7951

11.5415

12.2946

13.0543

13.8195

7464

7531

7597

7652

7703

10.7951

11.5416

12.2947

13.0544

13.8197

7465

7531

7597

7653

7703

10.7951

11.5416

12.294: S

13,0545

13,8198

7465

7533

7596

7653

7704

14.5896

15.3647

16.1442

16.9278

17.7151

77-51

7795

7836

7873

790 $

14.5897

15.3648

16.1443

16.9279

17.7152

7751

7795

7836

7873

7908

14.5898

15.3650

16.1445

16.9281

17.7154

7752

779.5

7836

7873

7908

14.5900

15.3651

16.1447

16.9283

17.7156

7751

7796

7836

7909

14.5902

15.3653

16.1449

16,9285

17.7159

7751

7796

7 836

7874

7908

18.5059

19.3002

20,4)976

20.8981

21.7016

7943

7974

8005

8035

8064

18.5060

19.3003

20.0977

20.8982

21.7017

7943

7974

8005

8035

8064

18.5062

19,3005

20.0980

20,8985

21.7020

7943

7975

8005

8035

8064

18 5065

19.3008

20,0982

20.8987

21.7023

7943

7974

8005

8036

8064

18,5067

19.3011

20.0985

20 8990

21,7025

7944

7974

8005

8035

8065

22.5080

23.3171

24.1290

24,9437

25.7609

8091

8119

8147

8172

8200

22.5081

23.3172

24.1291

24.9438

25.7610

8091

8119

8147

8172

8200

22.5084

23.3175

24.1294

24,9441

25,7613

8091

8119

8147

8172

8200

22.5087

23.3178

24,1297

24,9444

25.7616

8091

8119

8147

8172

8201

22 5090

23.3181

24.1300

24.9447

25.7620

8091

8119

8147

8173

8200

26.5809

27.4036

28,2288

29.0565

29.8869

8227

8252

8277

8304

8329

26.5810

27.4037

28.2289

29.0566

29,8870

8227

8252

8277

8304

8329

26.5813

27.4040

28,2292

29.0570

29.8874

8227

8252

8278

8304

8329

26.5817

27.4044

28,2296

F29.0573

29.8877

8227

8252

8277

8304

8329

26.5820

27.4047

28.2299

29.0576

29.8880

8227

8252

8277

8304

8330

30.7198

31. 5554

32.3935

33.2341

34.0771

8356

8381

8406

8430

8456

30.7199

31,5555

32.3936

33.2342

34.0772

8356

8381

8406

8430

8456

30 7203

31,5559

32,3940

33.2346

34.0776

8356

8381

8406

8430

8456

30,7206

31.5562

32.3943

33.2349

34.0779

8356

8381

8406

8430

8456

30.7210

31.5566

32,3947

33.2353

34 0783

8356

8381

8406

8430

8456

34 9227 34.9228 34.9232 34.92,35 34,9239

- 3 -

T

°R

1440

1530

1620

.1710

1800

1890

1980

2070

2160

2250

2340

2430

2520

2610

2700

2790

2880

2970

3060

3150

3240

3330

3420

3510

3600

3690

3780

387 0

3960

4050

4140
Table 9. 22/1 Enthalpy of Molecular Oxygen (H - Eg)/RT0

Pressure

T

. 01 atm . 1 atm . 4 atm . 7 atm latm '

°K

2300 34.9227 8482 34.9228 8482 34.9232 8482 34.9235 8483 34,9239 8482

2350 35.7709 8508 35.7710 8508 35.7714 8508 35. 77i

a 85Q8 35.7721

8 5 08

2400 36.6217 8530 36.6218 8530 36.6222 8530 36,6226 8530 36 6229 8530

2450 37.4747 8555 37.4748 8555 37.4752 8555 37.4756 8555 37.4759 8555

2500 38.3302 8580 38.3303 8580 38.3307 8580 38.3311 8580 38.3314 g580

2550 39.1882 8605 39.1883 8605 39.1887 8605 39.,1891 8605 39.1894 8606

2600 40.0487 8627 40.0488 8627 40,0492 8627 40.0496 g627 40.0500 8627

2650 40.9114 8651 40.9115 8651 40.9119 8651 40.9123 g651 40,9l27 g651

2700 41.7765 8675 41.7766 8675 41.7770 8675 41.7774 8675 41.7778 8B75

2750 42.6440 8698 42.6441 8698 42.6445 8698 42.6449 gegs42,6453 8698

2800 43.5138 8720 43.5139 8720 43.5143 8720 43.5147 g720 43.5151 8720

2850 44.3858 8743 44.3859 8743 44.3863 8743 44.3867 g743 44. 387

8743

2900 45.2601 8765 45.2602 8765 45.2606 8765 45.2610 87g5 45.2614 8765

2950 46.1366 8786 46.1367 8786 46.1371 8786 46.1375 87g6 46. 1379 87g6

3000 47,0152 47.0153 47.0157 47,0161 47.0165

T

°R

4140

4230

432-0-

4410

4500

4590

4680

4770

4860

4950

5040

5130

5220

5310

5400

- 4 -
Table 9. 22/

1

Enthalpy of Molecular Oxygen (H - E° )/RTq

Pressure

T

1 1 atm 4 atm 7 atm 10 atm 1 T

°K °R

100

110

120

130

140

1. 254

1. 3865

1. 5175

1. 6477

1. 7775

132

1310

1302

1298

1295

1. 315

1. 4628

1. 6021

1. 7381

148

1393

1360

1340

lc 394

1. 5505

I. 6954

156

1449

1400

lc 505

lc 649

1 44

147

180

198

216

234

252

150

160

170

180

190

1. 9070

2. 0362

2. 1654

2. 2944

2. 4233

1292

1292

1290

1289

1290

1. 8721

2. 0050

2„ 1374

2. 2689

2. 4000

1329

1324

1315

1311

1308

I. 8354

lc 9727

2c 1083

2c 2427

2c 3762

1373

1356

1344

1335

1329

I, 7963

lc 9390

2c 0785

2c 2160

2c 3520

1427

1395

1 37 5

1360

1351

270

288

306

342

200

210

220

230

240

2. 5523

2. 6810

2. 8098

2 . 9386

3. 0674

1287

1288

1288

1288

1289

2. 5308

2. 6613

2. 7915

2„ 9217

3. 0517

1305

1302

1302

1300

1300

2. 5091

2c 6413

2. 7732

2. 9047

3c 0359

1322

1319

1315

1312

1310

2. 4871

2c 6211

2c 7545

2c 8874

3c 0199

1340

1334

1329

1325

1323

360

378

396

414

432

250

260

270

280

290

3. 1963

3. 3253

3. 4544

3- 5835

3. 7129

1290

1291

1291

1294

1295

3. 1817

3o 3116

3. 4415

3-57 16

3. 7017

1299

1299

1301

1301

1302

3c 1669

3c 2979

3c 4287

3c 5596

3c 6904

1310

1308

1309

1308

1309

3c 1522

3c 2841

3c 4159

3c 5474

3c 6791

1319

1318

1315

1317

1317

450

468

486

504

522

300

310

320

330

340

3. 8424

3. 9721

4. 1020

4. 2322

4. 3626

1297

1299

1302

1304

1308

3. 8319

3. 9622

4 . 0927

4o 2234

4„ 3544

1303

1305

1307

1310

1312

3. 8213

3c 9522

4c 0834

4, 2147

4c 3461

1309

1312

1313

1314

1317

3c 8108

3c 9424

4c 0740

4c 2059

4c 3379

1316

1316

1319

1320

1322

540

558

576

594

612

350

360

370

380

390

4. 4934

4. 6245

4. 7559

4. 8876

5o 0197

1311

1314

1317

1321

1326

4. 4856

4. 6171

4. 7490

4. 8811

5„ 0136

1315

1319

1321

1325

1328

4c 4778

4c 6098

4c 7420

4c 8746

5c 0074

1320

1322

1326

1328

1332

4c 4701

4c 6024

4c 7 351

4c 8680

5c 0012

1323

1327

1 329

1332

1337

630

648

666

684

702

400

410

420

430

440

5. 1523

5. 2851

5. 4184

5, 5521

5. 6862

1328

1333

1337

1341

1346

5c 1464

5c 2796

5c 4132

5c 5472

5c 6816

1332

1336

1340

1344

1348

5. 1406

5c 2741

5c 4080

5c 5423

5c 6769

1335

1339

1343

1346

1352

5c 1349

5c 2687

5c 4029

5. 5375

5c 67 24

1338

1342

1346

1349

1354

720

738

7 56

774

792

450 5. 8208 5c 8164 5c 8121 5. 8078 810

- 5 -
Table

T

°K

450

460

470

480

490

500

510

520

530

540

550

560

570

580

590

600

610

620

630

640

650

660

670

680

690

700

710

720

730

740

750

760

770

780

790

800

9. 22/1 Enthalpy of Molecular Oxygen

_ Pressure

f 1 atm 4 atm 7 atm

(H - Eg}/RT0

10 atm

T

°R

5. 8208 y 349

5. 9557 ^ 354

6.0911 1359

6 - 2270 1363

6. 3633 2367

5. 8164

5. 9516

6. 0873

6. 2234

6. 3599

1352

1357

1361

1365

1369

5. 8121

5. 9475

6. 0834

6. 2197

6. 3564

1354

1359

1363

1367

1372

5- 8078 l 357

5-

94 35 2361

6

-

0796 1366

6. 2162 2369

6 o 3 <3 3

1 37

6- 5000 2372

6 . 637 2 2 377

6, 7749 2380

6. 9129 2386

7 “ 0515 1389

6. 4968 2374

6. 6342 2378

6 - 7720 1383

6 » 9103 1387

7 - 0490 1391

6 ° 4936 1376

6 ” 6312 1380

6, 7692 2385

6 * 9077 1389

7 - 0466 1393

6. 4905 2378

6° 6283 2382

6 ° 7665 1386

6 “ 905

J 1391

7 ° °44 ^ 1395

810

828

846

864

882

900

918

936

954

972

7, 1904

7. 3299

7 . 4697

7 . 6100

7 . 7507

1395

1398

1403

1407

1412

7. 1881

7. 3278

7. 4678

7. 6082

7. 7491

1397

1400

1404

1409

1412

7. 1859

7. 3256

7. 4658

7. 6063

7. 7474

1397

1402

1405

•1411

1414

7. 1837

7 . 3236

7. 4639

7. 6046

7. 7458

1 399

1403

1407

1412

1415

990

1008

1026

1044

1062

7. 8919

8, 0334

8. 1754

8. 3177

8. 4606

1415

1420

1423

1429

1431

7. 8903

8, 0320

8, 1741

8. 3166

8. 4595

1417

1421

1425

1429

1433

7. 8888

8. 0306

8. 1728

8. 3154

8. 4585

1418

1422

1426

1431

1433

7. 8873

8. 0293

8. 1716

8. 3143

8. 4575

1420

1423

1427

1432

1435

1080

1098

1116

1134

1152

8. 6037

8„ 7473

8, 8913

9. 0356

9, 1803

1436

1440

1443

1447

1451

8, 6028 ^437

8. 7 465 2441

8. 8906 1444

9. 0350 1448

9 ’ 1798 1452

8. 6018

8, 7457

8 . 8898

9. 0344

9. 1793

1439

1441

1446

1449

1452

8. 6010

8. 7450

9. 0339

9. 1789

1440

1442

1447

1450

1453

1170

1188

1206

1224

1242

9. 3254

9. 4708

9. 6166

9. 7628

9. 9093

1454

1458

1462

1465

1468

9. 3250

9. 4705

9. 6164

9. 7626

9. 9092

1455

1459

1462

1466

1469

9, 3245

9. 4702

9. 6162

9. 7625

9. 9092

1457

1460

1463

1467

1470

9. 3242

9o 4699

9. 6160

9. 7624

9. 9092

1.457

1461

1464

1468

1471

1260

1278

.1296

1314

1332

10. 0561

10. 2032

10. 3508

10. 4986

10. 6467

1471

1476

1478

1481

1484

10. 0561

10. 2034

10. 3510

10. 4989

10. 6471

1473

1476

1479

1482

1485

10. 0562

10. 2035

10. 3512

10. 4991

10. 6474

1473

1477

1479

1483

1486

10. 0563

10. 2037

10. 3514

10. 4995

10. 6478

1474

1477

1481

1483

1487

1350

1368

1386

1404

1422

10.7951 10.7956 10.7960 10.7965 1440

- 6 -
Table

T

°K

800

850

900

950

1000

1050

1100

1150

1200

1250

1300

1350

1400

1450

1500

1550

1600

1650

1700

1750

1800

1850

1900

1950

2000

2050

2100

2150

2200

2250

9. 22/ 1 Enthalpy of Molecular Oxygen (H - Eg)/RT0

Pressure

* 1 atm 4 atm 7 atm

10, 7951

11. 5416

12, 2949

13. 0545

14. 5902

15. 3653

16. 1449

16. 9285

17. 7159

18. 5067

19. 3011

20. 0985

20. 8990

22. 5090

23. 3181

24. 1300

24. 9447

25. 7620

26. 5820

27. 4047

28. 2299

29. 0576

29. 8880

30. 7210

31. 5566

32. 3947

33. 2353

34. 0783

7465 10. 7956 7468 10. 7960 7471 10. 7965 7475

7533 11. 5424 7536 11. 5431 7539 11. 5440

7 541

7596 12. 2960 7598 12. 2970 7601 12. 2981 7603

13. 0558 13. 0571 13. 0584 7653 7655 7657 7659

7704 13. 8213 7706 13. 8228 7708 13. 8243 7710

7751 14. 5919 7753 14. 5936 7755 14. 5953

77.57

7796 15. 3672 7797 15. 3691 7799 15. 3710 7801

7836

16. 1469 7838 16. 1490 783916. 1511 7840

7874 16. 9307 7875 16. 9329 7876 16. 9351 7878

7908 17. 7182 7910 17. 7205 7911 17. 7229 791.2

7944

18. 5092 7944 18. 5116 7946 18. 5141 7947

7974

19. 3036 7976 19. 3062 7976 19. 3088 7977

8005 20. 1012 8006 20. 1038 8007 20. 1065 8008

8035 20. 9018 8036 20. 9045 8037 20, 907380*38

8065 21.7 054 8065 21. 7082 8066 21. 7111 8067

22. 5119 22. 5148 22. 5178

8091

23. 3211 8092

23. 3241 809 3 23. 327

1

8 09 3

8119

24. 1331 8120 24. 1362 812124. 1392 8121

8147

24. 9479 8148 • 24. 9510 8148 24. 9541 8149

8173 25. 7652 8173 25. 7683 8173 25. 7715 8174

8200 8200 8202 82011

26. 5852 26. 5885 26. 5917

8227

27. 4080 8228 27. 4113 8228 27. 4146 8229

8252

28. 2333 8253 28. 2366 8253 28. 2399 8253

8277

29. 0610 827729. 0644 8278 29. 0678 8279

8304 29. 8915 8305 29. 8949 8305 29. 8983 8305

8330 8329 8330 8331

30. 7244 30. 7279 30. 7314 f 8356

31. 5601 835731. 5636 835731. 5671 8357

8381

32. 3982 8381 32. 4017 8381 32. 4053 8382

8406 33. 2389 8407 33. 2424 8407 33. 2460 8407

8430

34. 0819 8430 34. 0855 8431 34. 0891 8431

8456 8456 8457 8457

T

°R

1440

1530

1620

1710

1800

1890

lt86

2070

2160

.2250

2340

2430

2520

2610

2700

2790

2880

2970

3060

3150

3240

3330

3420

3510

3600

3690

3780

3870

3960

4050

- 7 ~

2300 34.9239 34. 9275 34. 9312 34. 9348 4140
(H - Eq)/RTq

Table 9. 22/1 Enthalpy of Molecular Oxygen

T

°K

2300

2350

2400

2450

2500

2550

2600

2650

2700

2750

2800

2850

2900

2950

3000

1 1 atm 4 atm

Pressure

7 atm

34. 9239

35. 7721

36. 6229

37. 4759

38. 3314

8482

8508

8530

8555

8580

34. 9275

35. 7758

36. 6266

37. 4796

38. 3352

8483

8508

8530

8556

8580

34. 9312

35. 7794

36. 6303

37. 4833

38. 3389

8482

8509

8530

8556

8580

39. 1894

40. 0500

40. 9127

41. 7778

42. 6453

8606

8627

8651

8675

8698

39. 1932

40. 0537

40. 9164

41. 7816

42. 6491

8605

8627

8652

8675

8698

39. 1969

40. 0575

40. 9202

41. 7854

42. 6529

8606

8627

8652

8675

8698

43. 5151

44. 3871

45. 2614

46. 1379

47. 0165

8720

8743

8765

8786

43. 5189

44. 3909

45. 2653

46. 1418

47. 0204

8720

8744

8765

8786

43. 5227

44. 3948

45. 2691

46. 1457

47. 0243

8721

8743

8766

8786

10 atm1

34. 9348

35. 783.1

36. 6340

37. 4870

38. 3426

8483

8509

8530

8556

8581

39. 2007

40. 0613

40. 9240

41. 7892

42. 6567

8606

8627

8652

8675

8699

43. 5266

44. 3986

45. 2730

46. 1495

47. 0282

8720

8744

8765

8787

T

°R

4140

4230

4320

4410

4500

4590

4680

4770

4860

4950

5040

5130

5220

5310

5400

- 8 -
Table

T

°K

130

140

150

160

170

180

190

200

210

220

230

240

250

260

270

280

290

300

310

320

330

340

350

360

370

380

390

400

410

420

430

440

450

. 22/1 Enthalpy of Molecular Oxygen (H - Eq)/RTq

_ __ Pressure

rT0 atm 40 atm 70 atm 100 atm'

T

°R

1. 505

1. 649

144

147

234

252

1. 7963

1. 9390

2. 0785

2. 2160

2. 3520

1427

1395

1375

1360

1351

1. 48

1. 711

1. 905

2. 082

23

194

177

166

1. 18

la 4915

la 751

33

261

221

a 94

la 346

41

313

270

288

306

324

342

2 . 4871

2. 6211

2. 7545

2. 8874

3. 0199

1340

1334

1329

1325

1323

2, 248

2. 406

2. 559

2. 709

2. 851

158

153

150

142

150

la 972

2a 170

2a 352

2. 524

2a 689

198

182

172

165

160

I. 659

la 916

2a 138

2a 340

2a 526

257

122

202

186

177

360

378

396

414

432

3, 1522

3. 2841

3. 4159

3. 5474

3. 6791

1319

1318

1315

1317

1317

3. 001

3. 144

3. 286

3. 426

3„ 566

143

142

140

140

139

2a 849

3a 005

3a 157

3. 307

3o 455

156

152

150

148

147

2a 703

2a 872

3. 035

3a 195

3a 351

169

163

160

156

154

450

468

486

504

522

3. 8108

3. 9424

4o 0740

4. 2059

4. 3379

1316

1316

1319

1320 - 1322

3. 705

3. 843

3. 981

4. 119

4. 256

138

138

138

137

137

•3a 602

3. 747

3a 891

4. 034

4a 176

145

144

143

142

142

3a 505

3. 656

3a 806

3. 954

4. 101

151

150

148

147

147

540

558

576

594

6.12

4. 4701

4. 6024

4. 7351

4 . 8680

5. 0012

1323

1327

1329

1332

1337

4. 393

4. 530

4. 667

4. 804

4a 941

137

137

137

137

137

4a 318

4. 460

4a 601

4a 742

4a 882

142

141

141

140

141

4a 248

4a 394

4. 539

4, 683

4a 827

146

145

144

144

144

630

648

666

684

7 02

5. 1349

5. 2687

5. 4029

5. 5375

5. 6724

1338

1342

1346

1349

1354

5. 078

5a 215

5a 352

5a 490

5a 628

137

137

138

138

138

5a 023

5a 163

5. 304

5. 444

5. 585

140

141

140

141

140

4a 971

5a 114

5a 257

5a 400

5= 543

143

143

143

143

144

720

738

756

774

792

5. 8078 5a 766 5a 725 5a 687 810

- 9 -
Table 9. 22/ 1 Enthalpy of Molecular Oxygen

Pressure

(H - E g)/RT0

1 1 0 atm 40 atm 7 0 atm 100 atm * T T

°K °R

450 5. 8078 1357 5. 766 13g 5.725 i 4 1 5.687 ^ 4 3 810

460 5. 9435 1361 138 5.866 14J 5. 830 140 828

470 6. 0796 1366 6.042 139 6.007 141 5. 973 143 846

480 6. 2162 1369 b ‘ iyi 139 6 . 148 141 6 . 116 143 864

490 6. 3531 1374 6. 320 14Q 6 . 289 i 4 2

6. 259 144 882

500 6. 4905 6. 460 , 6. 431 ,

.

6.403 . . 0 900

510 6. 6283 13786, 600 6. 572 6, 546 {4 3 918

520 6. 7665 13826. 740 {{fJJ 6 . 714 iff; 6.690 44 936

530 6. 9051 1386

6. 880 6. 856 6.834 44 954

540 7. 0442 1391 7-021 ] 4

} 6. 999 6. 978 {44 972

1395 141 143 144

550 7. 1837 7. 162 7. 142 . _ 7. 122 - . c 990

560 7. 3236 1399

7. 303 { 7. 285 {43 7.267

«

1008

570 7. 4639 14037 . 445 7. 428 {4 6 7.412 45 1026

580 7. 6046 14077. 588 7. 572 {44 7.557

«

1044

590 7. 7458 14127. 730 7.716 44

7. 702 {,

b 1062

1415 143 144 146

600 7. 8873 7. 873 , 7. 860 ,

.

7. 848 - 1080

610 8. 0293 1420

8. 016 {{f

8

8. 004 }44 7.994 46 1098

620 8. 1716 1423

8. 160 \\\ 8. 149 {4j? 8. 140 {4 b 1116

630

640

8. 3143

8. 4575

1427

1432

8. 304 \\\

8. 448

8, 294 «

8. 440 \, n

8. 286 {4®

8. 433

1134

1152

1435 145 146 146

650 8. 6010 1440 8. 593 145 8.586 i 4

c 8 ° 148 1170

660 8. 7450 1442 8.738 145 8.732 146 8.727 147 1188

670 8. 8892 1447 8.883 146 8. 878 i 47 8 . 8/4 14 g1206

680 9. 0339 1450 9. 029 14fi 9. 025 147 9. 022 -j 47 1224

690 9. 1789 1453 9.175 146 9. 172 147 9. 169 249 1242

700 9. 3242 1457 9. 321 1 47 9 ° 319 148 9 ” 3

{. 8 148 1260

710 9. 4699 9. 468 * 9. 467 9. 466 ,

' 1278

720 9. 6160 1461

9. 615 9. 615 {4 b9. 615 {4 9 1296

730 9. 7624 1464

9. 762 {*' 9. 763 {4^ 9.764 49 1314

740 9. 9092 1468 9.910 « 9.911 48

9. 913 {?

9 1332

1471 148 149 150

750 10. 0563 1474 10.058 i 48 1 0, 06 0 -j 49 10. 063 -j 49 1350

760 10. 2037 1477 10. 206 14R 10. 209 14 c) lu. 212 j 5 q

1368

770 10. 3514 1481 10.354 149 10.358 149 10.362 ^ q

-j 1386

780 10. 4995 1483 10. 503 149 10.507 150 10 ° 513 150 1404

790 10. 6478 1487 10-652 150 10.657 15Q iO. 663 151 1422

800 10. 7965 10. 802 10. 807 10. 814 1440

10 -
Table 9. 22/1 Enthalpy of Molecular Oxygen

Pressure

(H - E

o»/ RTo

* 1 0 atm 40 atm 70 atm 100 atm ' T T

°K °R

800 10. 797 10. 802 10. 807 10. 814 1440

900 12. 298 1501

12. 309 150712. 321 15.1412. 333 1519 1620

1000 13. 824 1526

13. 840 153113. 857 153613. 874 1541 1800

1100 15. 371 1547

15. 391 155115. 411 155415. 431 1557 1980

1200 16. 935 1564

16. 958 156716. 981 157017. 004 1573 2160

1579 1581 1584 1587

1300 18. 514 18. 539 18. 565 18. 591 2340

1400 20. 107 1593

20. 134 159520. 161 1596

20. 189 1598 2520

1500 21. 711 1604

21. 740 160621. 769 160821. 799 1610 2700

1600 23. 327 1616

23. 358 161823. 388 161923. 419 1620 2880

1700 24. 954 1627

24. 986 1628

25. 018 1630

25. 050 1631 3060

1638 1639 1640 1641

1800 26. 592 26. 625 26. 658 26. 691 3240

1900 28. 240 1648

28. 274 1649

28. 308 165028. 342 1651 3420

2000 29. 898 1658

29. 933 165929. 968 1660

30. 003 1661 3600

2100 31. 567 1669

31. 602 166931. 638 1670

31. 674 1671 3780

2200 33. 246 1679

33. 282 168033. 318 168033. 355 1681 3960

1689 1689 1690 1690

2300 34. 935 34. 971 35. 008 35. 045 4140

2400 36. 634 1699

36. 671 1700

36. 708 1700

36. 745 1700 4320

2500 38. 343 1709

38. 380 170938. 418 171038. 455 1710 4500

2600 40. 061 1718

40. 099 171940. 137

1719

40. 175 1720 4680

2700 41. 789 1728

41. 827 172841. 866 1729

41. 904 1729 4860

1738 1738 1738 1739

2800 43. 527 43. 565 43. 604 43. 643 5040

2900 45. 273 1746

45. 312 1747

45. 351 174745. 390 1747 5220

3000 47. 028 1755

47. 067 1755

47. 107 1756

47. 146 1756 5400

11 -
Table 9= 22/2 Entropy of Molecular Oxygen S/R

Coi atm

T

°K

100 25. 4396qqq7

110 25. 77 33 3049

120 26. 07822go2

130 26. 35842595

140 26. 6179 2417

150

160

170

180

190

200 27. 8670 1 71 0

210 28. 0380 i coV

220 28. 2011 i ccq

230 28.3570 74q^

240 28. 5063 ^33

2150 28,6496 1?7 o 260 28/7874 7^o

270 28. 9202 Tpon

280 29. 0482 1 000

290 29.1720 ^9°

300 29. 2917 , ,09

310 29. 4077 7 320 29.5202 7(7^

330 29. 6295 7j!^

340 29. 7357 2 035

350 29.8392 1f)n7

360 29. 9399 qoo

370 30.0381 qrQ

380 30.1340 nne

390 30.2276 g’fg

400 30 3492

410 30, 4088 o 7 g 420 30.4964 nr7

430 30. 5823 nj?

440 . 30. 6664 ggg

450 30. 7490

26. 8596

27. 0855

27. 2978

27. 4980

27. 6874

2259

2123

2002

1894

1796

Pressure

. 1 atm . 4 atm

23. 1 336 q q4 c 23. 4681 3054

23. 7735 2 806

24. 0541 2 598

24. 3 1 39 241

21.7 357 q

q

7

22. 0729 3 072

22. 3801 2821

22. 6622 2607

22.92 29 2426

24. 5558

24. 7819

24. 9943

25. 1946

25. 3842

2261

2124

2003

1896

1796

23. 1655

23. 3922

23. 6051

23. 8058

23. 9956

2267

2129

2007

1898

1799

25, 5638

25. 7349

25. 8980

26. 0539

26. 2033

1711

1631

1559

1494

1433

24. 1755

24. 3468

24. 5101

24. 6662

24. 8157

1713

1633

1561

1495

1434

26. 3466

26. 4844

26. 6173

26. 7453

26. 8691

1378

1329

1280

1238

1198

24. 9591 , q Rn

25. 0971 jq^q

25. 2300 * * 25. 3581

25. 4820

26, 9889

27. 1049

27. 2174

27. 3267

27.4329

1160

1125

1093

1062

1035

25, 6018

25. 7178

25. 8304

25. 9398

26. 0460

1160

1126

1094

1062

1036

27, 5364

27. 6371

27. 7353

27. 8312

27. 9249

1007

982

959

937

916

.26. 1496

26. 2503

26 3486

26. 4445

26, 5381

1007

983

959

936

917

28.0165 oqg 26.6298

28.1061 °

7 g

26.7194

28.1937 26.8070

28. 2796 26. 8929

28.3637 gjg 26,9771

896

876

859

842

826

28.4463 27.0597

. 7 atm

in^o 3404

21. 5042 3092

21 . 8134 2 833

22. 0967 26 18

22 . 35852^88

22. 6018

22. 8292

23. 0426

23. 2436

23, 4338

2274

2134

2010

1902

1802

23. 6140

23, 7855

23. 9489

24. 1052

24. 2548

1715

1634

1563

1496

1435

24, 3983

24. 5364

24. 6694

24. 7976

24. 9215

1381

1330

1282

1239

1199

25. 0414

25. 1575

25, 2701

25. 3795

25. 4858

1161

1126

1094

1063

1036

25. 5894

25. 6902

25. 7885

25, 8844

25. 9781

1008

983

959

937

917

26, 0698

26, 1594

26. 2471

26. 3330

26. 4171

896

877

859

841

827

26. 4998

1 atm~l

20. 794 244

21. 13813^^3

21. 4494 2848

21.7 342

21. 9969 2442

22. 2411

22. 4690

22. 6828

22. 8844

23. 0748

2279

2138

2016

1904

1805

23. 2553

23. 4270

23, 5906

23, 7470

23. 8968

1717

1636

1564

1498

1437

24, 0405

24. 1786

24. 3117

24, 4400

24. 5640

1381

1331

.1283

1240

1199

24. 6839

24. 8001

24, 9128

25. 0222

25. 1286

1162

1127

1094

1064

1036

25. 2*322

25, 3330

25. 4313

25. 5273

25, 6210

1008

983

960

937

917

25. 7127

25, 8023

25. 8900

25. 9760

26,, 0601

896

877

860

841

827

26. 1428

T

°R

180

198

216

234

252

270

288

306

324

342

360

378

396

414

432

450

468

486

504

522

540

558

576

594

612

630

648

666

684

702

720

738

756

774

792

810

- 12 -
Table 9. 22/2 Entropy of Molecular Oxygen S/R

oK

01 atm 1 atm

Pressure

. 4 atm . 7 atm 1 atm

450 30. 7490 810 28. 4463 810 27. 0597 810 26. 4998 810 26. 1428 810

460 30. 8300 795 28. 5273 795 27. 1407 795 26. 5808 796 26. 2238 796

470 30. 9095 780 28. 6068 780 27. 2202 780 26. 6604 780 26. 3034 780

480 30. 9875 768 28. 6848 769 27. 2982 769 26. 7384 768 26. 3814 769

490 31. 0643 754 28. 7617 754 27. 3751 754 26. 8152 754 26, 4583 754

500 31. 1397 742 28. 8371 742 27.4505 742 26. 8906 743 26. 5337 742

510 31. 2139 730 28. 9113 730 27. 5247 730 26. 9649 730 26. 6079 731

520 31. 2869

l uu 718 28. 9843 718 27. 5977 718 27. 0379 718 26. 6810 718

53Q 31. 3587 707 29. 0561 707 27. 6695 707 27. 1097 707 26. 7528 707

540 31. 4294 696 29. 1268 696 27. 7402 696 27. 1804 697 26. 8235 697

550 31. 4990 686 29. 1964 686 27. 8098 687 27. 2501 686 26. 8932 686

560 31. 5676 676 29. 2650 676 27. 8785 676 27. 3187 676 26. 9618 676

570 31. 6352 666 29. 3326 666 27. 9461 666 27. 3863 666 27. 0294 666

580 31. 7018 657 29. 3992 657 28. 0127 657 27. 4529 657 27. 0960 658

590 31. 7675 648 29. 4649 648 28 0784 648 27. 5186 648 27. 1618 648

600 31. 8323 639 29. 5297 639 28. 1432 639 27. 5834 639 27.2266 639

610 31. 8962 630 29. 5936 630 28. 2071 630 27. 6473 63 b 27. 2905 630

620 31. 9592 622 29. 6566 622 28. 2701 622 27. 7104 622' 27. 3535 622

630 32. 0214 614 29. 7188 614 28. 3323 614 27. 7726 614 27. 4157 615

640 32. 0828 607 29. 7802 607 28. 3937 607 27. 8340 607 27. 4772 607

650 32. 1435 598 29. 8409 598 28. 4544 598 27. 8947 598 27. 5379 598

660 32. 2033 59

1

29. 9007 591 28.-5142 591 27. 9545 591 27. 5977 591

670 32. 2624 584 29. 9598 584 28. 5733 584 28. 0136 584 27. 6568 584

680 32. 3208 tzrj 17 30. 0182 C f7 17 28. 6317 JZH n 28. 0720 c 7 7 27. 7152 c 7 7

690 32. 3785 O 0 1 570 30. 0759 Oil

570 28 . 6894 0 c 0 571 28. 1297 0 ( 0 570 27. 7729 Dm

570

700 32. 4355 564 30. 1329 564 28. 7465 564 28. 1.867 565 27. 8299 564

710 32. 4919 557 30. 1893 557 28. 8029 557 28. 2432 557 27. 8863 558

720 32. 5476 550 30. 2450 550 28. 8586 550 28. 2989 550 27. 9421 550

730 32. 6026 G.A ^ 30.3000 C A R 28. 9136 28. 3539 27.9971 545 740 32. 6571 30. 3545 28. 9681 28, 4084 Urt O

28. 0516

538 538 538 538 538

750 32. 7109 30. 4083 29. 0219

532

28. 4622 C O 28. 1054 c 09

760 32. 7641 532 30. 4615 532 29. 0751 28. 5154 D1 O da 28. 1586 WWIid 770 32. 8168 527 . 30. 5142 527 29. 1278 527 28. 5681 527 28. 2113 527

780 32. 8689 521 30. 5663 521 29. 1799 521 28. 6202 521 28. 2634 521

790 32. 9204 515 30. 6178 515 29. 2314 515 28. 6717 515 28. 3149 515

510 510 510 510 510

800 32. 9714 30. 6688 29. 2824 28. 7227 28. 3659

T

°R

810

828

846

864

882

900

918

936

954

972

990

1008

1026

1044

1062

1080

1098

1116

1134

1152

1170

1188

1206

1224

1242

1260

1278

1296

1314

1332

1350

1368

.1386

1404

1422

1440

-13 -
Table 9. 22/2

T

. 01 atm

°K

800 32. 9714

850 33. 2186

900 33. 4538

950 33. 6781

1000 33. 8926

1050 34. 0979

1100 34. 2949

1150 34. 4842

1200 34. 6663

1250 34. 8419

1300 35. 0114

1350 35. 1752

1400 35. 3336

1450 35. 4871

1500 35. 6359

1550 35. 7803

1600 35. 9207

1650 36. 0571

1700 36. 1900

1750 36. 3194

1800 36. 4456

1850 36. 5688

1900 36. 6890

1950 36. 8065

2000 36. 9213

2050 37. 0337

2100 37. 1437

2150 37. 2514

2200 37. 3570

2250 37. 4605

2300 37. 5620

Entropy of Molecular Oxygen

Pressure

. 1 atm . 4 atm

2472

2352

2243

2145

2053

30. 6688

30. 9160

31. 1512

31. 3755

31. 5900

2472

2352

2243

2145

2053

29. 2824

29. 5296

29. 7648

29. 9891

30. 2036

2472

2352

2243

2145

2053

1970

1893

1821

1756

1695

31. 7953

31. 9923

32. 1816

32. 3637

32. 5393

1970

1893

1821

1756

1695

30. 4089 iq71

30. 6060

30. 7953 1821

30. 9774 i 7 cc 31.1530 1695

1638

1584

1535

1488

1444

32. 7088

32. 8726

33. 0310

33. 1845

33. 3333

1638

1584

1535

1488

1444

31. 3225

31. 4863

31. 6447

31. 7982

31. 9470

1638

1584

1535

1488

1444

1404

1364

1329

1294

1262

33. 4777

33. 6181

33. 7545

33. 8874

34. 0168

1404

1364

1329

1294

1262

32. 0914

32. 2318

32. 3682

32. 5011

32. 6305

1404

1364

1329

1294

1262

1232

1202

1175

1148

1124

34. 1430

34. 2662

34. 3864

34. 5039

34. 6187

1232

1202

1175

1148

1124

32. 7567

32. 8799

33. 0001

33. 1176

33. 2324

1232

1202

1175

1148

1124

1100

1077

1056

1035

1015

34. 7311

34. 8411

34. 9488

35. 0544

35. 1579

1100

1077

1056

1035

1015

33. 3448

33. 4548

33. 5625

33. 6681

33. 7716

1100

1077

1056

1035

1015

35.2594 33.8731

S/

7 atm 1 atm’

28. 7227

28. 9699

29. 2052

29. 4295

29. 6440

2472

2353

2243

2145

2053

28. 3659

28. 6132

28. 8484

29. 0727

29. 2872

2473

2'352

2243

2145

2054

29 . 8493

30. 0463 Togo

30. 2356 i ooT

30. 4177 l756

30. 5933 169 5

29. 4926 t n 70

29. 6896|n q

!; 29. 8789 1821

30. 0610 1756

30. 2366 1095

30. 7628

30. 9267

31. 0851

31. 2386

31. 3874

1639

1584

1535

1488

1444

30. 4061 i 6 3 8

30. 5699 1584

30. 7283 1535

30. 8818 1489

31. 0307 1444

31. 5318 i 4 Q 4

31 . 67 22 1 304

31.8086 1329

31.9415 i 294

32. 0709 1202

31 . 1751 i4Q4

31. 3155

qca

31. 4519 {329

31 . 5848 1294

31. 7142 1202

32. 1971

32. 3203

32. 4405

32. 5580

32. 6728

1232

1202

1175

1148

1124

31 . 8404 1232

31. 9636 1202

32. 0838 1175

32. 2013 1 14R

32. 3161 -^4

32. 7852

32. 8952

33. 0029

33. 1085

33. 2120

1100

1077

1056

1035

1015

32. 4285

32. 5385

32. 6462

32. 7518

32. 8553

1100

1077

1056

1035

1015

33.3135 32.9568

T

°R

1440

1530

1620

1710

1800

1890

1980

2070

2160

2250

2340

2430

2520

2610

2700

2790

2880

2970

3060

3150

3240

3330

3420

3510

3600

3690

3780

3870

3960

4050

4140

-14
Table

T

°K

2300

2350

2400

2450

2500

2550

2600

2650

2700

2750

2800

2850

2900

2950

3000

9. 22/2 Entropy of Molecular Oxygen S/R

.01 atm . 1 atm

Pressure

. 4 atm . 7 atm 1 atm

37.5620

37.6617

37.7595

37.8556

37.9501

997

978

961

945

928

35.2594

35.3591

35.4569

35.5530

35.6475

997

978

961

945

928

33.8731

33.9728

34.0706

34.1667

34.2612

997

978

961

945

928

33.3135

33.4132

33.5110

33.6071

33.7016

997

978

961

945

928

32.9568

33.0565

33.1543

33.2504

33.3449

997

978

961

945

928

38.0429

38.1341

38.2239

38.3123

38.3992

912

898

884

869

856

35.7403

35.8315

35.9213

36.0097

36.0966

912

898

884

869

856

34.3540

34.4452

34.5350

34.6234

34.7103

912

898

884

869

856

33.7944

33.8856

33,9754

34.0638

34.1507

912

898

884

869

856

33.4377

33.5289

33.6187

33.7071

33.7940

912

898

884

869

856

38.4848

38.5692

38.6522

38.7341

38.8148

844

830

819

807

36.1822

36.2666

36.3496

36.4315

36.5122

844

830

819

807

34.7959

34.8803

34.9633

35.0452

35.1259

844

830

819

807

34.2363

34,3207

34.4037

34.4856

34.5663

844

830

819

807

33.8796

33.9640

34,0470

34.1289

34.2096

844

830

819

807

T

°R

4140

4230

4320

4410

4500

4590

4680

4770

4860

4950

5040

5130

5220

5310

5400

- 15 -
Table 9V22/2

1 atm

T

°K

100 20. 794

110 21. 1381

120 21. 4494

130 21. 7342

140 21. 9969

150 22. 2411

160 22. 4690

170 22. 6828

180 22. 8844

190 23. 0748

200 23. 2553

210 23. 4270

220 23. 5906

230 23. 7470

240- 23. 8968

250 24. 0405

260 24. 1786

270 24, 3117

280 24. 4400

290 24. 5640

300 24-. 6839

310 24. 8001

320 24. 9128

330 25. 0222

340 25. 1286

350 25. 2322

360 25. 3330

370 25. 4313

380 25. 5273

390 25. 6210

400 25. 7127

410 25. 8023

420 25. 8900

430 25. 9760

440 26. 0601

450 CD 1428

Entropy of Molecular Oxygen

Pressure

4 atm 7 atm

344

3113

2848

2627

2442

19. 981 v$q 4

20 . 2851 2751

20. 5602 2529

19. 651

19. 9448

2279

2138

2016

1904

1805

20. 8131 2345

21. 0476 2188

21. 2664 2055

21. 4719 1937

21. 6656 iQ32

20. 2087

20. 4508

20. 6754

20. 8853

21. 0826

1717

1636

1564

1498

1437

21. 8488 1770 21. 2686

22. 0227 1655 21.4449

22. 1882 1 co 0 21.6123

22. 3462 15?

21.7:720

22. 4974 i 44 9 21.9^45

1381

1331

1283

1240

1199

1162

1127

1094

1064

1036

1008

983

960

937

917

896

877

860

841

827

22. 6423 I oq 1 22.0706

22. 7814 1 040 22.2109

22.9154 ^00 22.3458

23. 0446 {047 22.4758

23. 1693 12 q 6 22.6012

23. 2899 u67 22.7224

23. 4066 u 00 22.8397

23. 5198 {oqq 22.9535

23. 6297 iQg 7 23.0639

23. 7364 J 04Q 23,1710

23.8404 23.2754

23. 9416 qof 23.3769

24.0402 23,4758

24.1365 q~q 23.5724

24.2304 23.6666

920

24,3224 090 23.7587

24.4122 079 23.8489

24,5001 23.9369

24.5863 040 24.0233

24:6706 24.1078

24.7534 24.1908

294

2639

2421

2246

2099

1973

1860

1763

1674

1597

1525

1461

1403

1349

1300

1254

1212

117 3

1138

1104

1071

1044

1015

989

966

942

921

902

880

864

845

830

S./R

1atm !

19. 525 - 279

19. 8036 2514

20.0550 2310

20.2860 <r» 1 40

20.5008 ?nin

20.7018 18M

20. 8908

21. 0696

21. 2391

21. 4005

21. 5545

1788

1695

1614

1540

1473

21. 7018

21. 8433

21. 9792

22. 1098

22. 2381

1415

1359

1306

1263

1218

22. 3579 4 i 7 g

22. 4758 1142

22. 5900 1 n 08

22.7008 1 0 7 0

22,8084 1Q48

22. 9132

23. 0151

23. 1143

23. 2112

23. 3056

1019

992

969

944

924

23. 3980

23. 4884

23. 5766

23. 6632

23. 7479

904

882

866

847

831

23. 8310

T

°R

180

198

216

234

252

270

288

308

324

342

360

.378

396

414

432

450

468

486

504

522

540

558

576

594

612

630

648

666

684

702

720

738

7 56

774

792

810

-16 -
Table

T

°K

450

460

470

480

490

500

510

520

530

540

550

560

570

580

590

600

610

620

630

640

650

660

670

680

690

700

710

720

730

74:0

750

760

770

780

790

800

9. 22/2 Entropy of Molecular Oxygen

Pressure®_

* 1 atm 4 atm 7 atm 10 atm’

26. 1428 g20

26. 2238 793

26. 3034 7go

26. 3814 709

26. 4583 754

24. 7 534 322

24. 8346 797

24. 9 143 732

24. 9925 709

25. 0694 756

24. 1908 323

24,2721 793

24, 35 19 733

24, 4302 772

2 4 . 50 7 3 757

23. 8310

23 9125

23 9925

24. 0709

24, 1481

815

800

784

772

758

26. 5337 740

26. 6079

26.6810

26. 7 528 707

26 . 8235 097

25, 1450 74 g

25. 2193

25. 2925 7

^

25. 3644 708

25. 4352 097

24. 5830

24. 6574

24, 7307

24, 8027

24. 8736

744

733

720

709

698

24. 2239

24. 2985

24, 3718

24, 4439

24. 5149

746

733

721

710

699

26. 8932

26. 9618

27i 0294

27 0960

27. 1618

686

676

666, 658

648

25. 5049

25, 5736

25. 6413

25. 7080

25. 7738

687

677

667

658

649

24. 9434

25. 0122

25. 0800

25, 1467

25, 2126

688

678

667

659

649

24. 5848

24. 6537

24. 7215

24, 7883

24, 8543

689

678

668

660

650

27. 2266

27. 2905

27. 3535

27. 4157

27. 4772

639

630

622

615

607

25. 8387

25. 9027

25. 9658

26. 0280

26/0895

640

631

622

615

608

25. 2775

25. 3416

25. 4047

25= 4670

25. 5286

641

631

623

616

608

24. 9193

24, 9834

25, 0466

25. 1089

25, 1705

641

632

623

616

609

ll

' 598

27. 5977 591

27. 6568 584

27. 7152 577

27. 77 29 570

26. 1503 598

26. 2101 592

26. 2693 584

26 , 3277 578

26.3855 570

25, 5894 599

25, 6493 592

25, 7085 585

25.7670 578

25, 8248 571

25, 2314 cQq

25. 2913 593

25. 3506 505

25.4091

26 , 4669 57

27. 8299

27. 8863

27. 9421

27. 9971

28. 0516

564

558

550

545

538

26. 4425

26. 4990

26. 5547

26. 6098

26. 6643

565

557

551

545

539

25. 8819

25. 9383

25. 9941

26, 0492

26. 1038

564

558

551

546

538

25. 5241

25. 5806

25, 6364

25. 6915

25. 7461

565

558

551

546

539

28. 1054

28. 1586

28, 2113

28. 2634

28. 3149

532

527

521

515

510

26. 7182

26. 7714

26. 8241

26. 8763

26. 9278

532

527

522

515

510

26. 1576

26, 2109

26. 2637

26. 3158

26. 3674

533

528

521

516

511

25. 8000 coo

25, 8533

25, 9061 528

25. 9583 \

22

26. 0099 516

511

28.3659 26.9788 26.4185 26.0610

S/R

T

°R

810

828

846

864

882

900

918

936

954

972

990

1008

1026

1044

1062

1080

1098

1116

1134

1152

1170

1188

1206

1224

1242

1260

1278

1296

1314

1332

1350

1368

1386

1404

1422

1440

- 17 -
Table

T

° K

800

850

900

950

1000

1050

1100

1150

1200

1250

1300

1350

1400

1450

1500

1550

1600

1650

1700

1750

1800

1850

1900

1950

2000

2050

2100

2150

2200

2250

2300

). 22/2 Entropy of Molecular Oxygen

Pressure I -- - r- —- « .<»— I. —

' 1 atm 4 atm 7 atm 10 atm

S/R

28.

28.

28.

29.

29.

2473

ala!

2352

9943

0727 6

U ^ 2145

& 2054

26.

27.

27.

27.

27.

6859

9005

26.

26.

26.

27.

27.

4185

6659

9013

1258

3404

2474

2354

2245

2146

2055

26. 0610

26. 3085

26. 5440

26, 7686

26, 9833

247 5

2355

2246

2147

2055

29. 4926

29. 6896

29. 8789

30. 0610

30. 2366

1970

1893

1821

1756

1695

28. 1059

28. 3029

28. 4923

28. 6744

28. 8501

197 0

1894

1821

1757

1695

27. 5459

27. 7430

27. 9324

28. 1146

28. 2902

1971

1894

1822

1756

1696

27. 1888

27. 3859

27. 5754

27. 7576

27. 9333

1971

1895

1822

1757

1696

30. 4061

30. 5699

30. 7283

30. 8818

31. 0307

1638

1584

1535

1489

1444

29. 0196

29. 1834

29. 3419

29. 4954

29. 6442

1638

1585

1535

1488

1444

28, 4598

28. 6236

28. 7821

28. 9356

29. 0845

1638

1585

1535

1489

1444

28. 1029

28. 2667

28. 4252

28. 5788

28. 7276

1638

1585

1536

1488

1445

31. 1751

31. 3155

31. 4519

31. 5848

31. 7142

1404

1364

1329

1294

1262

29. 7886

29. 9290

30. 0655

30. 1984

30. 3279

1404

1365

1329

1295

1261

29. 2289

29. 3693

29. 5058

29. 6387

29. 7681

1404

.1365

1329

1294

1262

28. 8721

29. 0125

29, 1489

29. 2819

29. 41 13

1404

1364

1330

1294

1262

31. 8404

31. 9636

32. 0838

32. 2013

32. 3161

1232

1202

1175

1148

1124

30. 4540

30. 5772

30. 6974

30. 8149

30. 9297

1232

1202

1175

1148

1124

29. 8943

30. 0175

30. 1377

30. 2553

30. 3701

1202

1176

1148

1124

29. 5375

29. 6608

29. 7810

29. 8985

30. 0133

1233

1202

1 175

1148

1124

32. 4285

32. 5385

32. 6462

32. 7518

32. 8553

1100

1077

1056

1035

1015

31. 0421

31. 1521

31. 2598

31. 3655

31. 4690

1100

1077

1057

1035

1015

30. 4825

30. 5925

30. 7002

30. 8058

30. 9093

1100

1077

1055

1035

1015

30, 1257

30. 2358

30, 3435

30. 4491

30. 5526

1101

1077

1056

1035

1015

32.9568 31.5705 31.0108 30.6541

T

°R

1440

1530

1620

1710

1800

1890

1980

2070

2160

2250

2340

2430

2520

26 4,0

2700

2790

2880

2970

3060

3150

3240

3330

3420

3510

3600

3690

3780

3870

3960

4050

4140

-18
Table 9* 22/2 Entropy of Molecular Oxygen S/R

T

*T~atnT 4 atm

Pressure

7 atm

°K

2300

2350

2400

2450

2500

32. 9568

33. 0565

33. 1543

33. 2504

33. 3449

997

978

961

945

928

31. 5705

31. 6702

31. 7680

31. 8641

31. 9586

997

978

961

945

928

31. 0108

31. 1105

31. 2083

31. 3045

31. 3990

997

978

962

945

928

2550

2600

2650

2700

2750

33. 4377

33. 5289

33. 6187

33. 7071

33. 7940

912

898

884

869

856

32. 0514

32. 1426

32. 2324

32. 3208

32. 4077

912

898

884

869

856

31. 4918

31. 5830

31. 6728

31. 7612

31. 8481

912

898

884

869

856

2800 33. 8796 844

830 2850 33. 9640

2900 34. 0470 819

807 2950 34. 1289

3000 34. 2096

32. 4933

32. 5777

32. 6607

32. 7426

32. 8233

844

830

819

807

31. 9337

32. 0181

32. 1011

32. 1830

32. 2637

844

830

819

807

10 atm

30. 6541

30. 7538

30. 8516

30. 9477

31. 0422

997

978

961

945

929

31. 1351

31. 2263

31. 3161

31. 4045

31. 4914

912

898

884

869

856

31. 5770

31. 6614

31. 7444

31. 8263

31. 9070

844

830

819

807

T

°R

4140

4230

4320

4410

4500

4590

4680

4770

4860

4950

5040

5130

5220

5310

5400
T able

T

°K

140

150

160

170

180

190

200

210

220

230

240

250

260

270

280

290

300

310

320

330

340

350

360

370

380

390

400

410

420

430

440

450

9. 22/2 Entropy of Molecular Oxygen

__ ______ H~6~atm 40 atm 70 atm

S/R

100 atm~^

19. 525 279

19 . 8036 2514

20. 0550 901 n 20 . 2860 2148

20. 5008 2010

20. 7018 iggo

18.10 37

18. 474 oq4

1.8. 778 261

19. 0389 2320

20. 8908

21. 0696

21. 2391

21. 4005

21. 5545

1788

1695

1614

1540

1473

19. 2709

19. 4822

19. 6771

19. 8591

20. 0298

2113

1949

1820

1707

1616

21. 7018

21. 8433

21. 9792

22. 1098

22. 2361

1415

1359

1306

1263

1218

20. 1914

20. 3445

20. 4906

20. 6302

20. 7641

1531

1461

1396

1339

1287

22. 3579 1

. ?q

22. 4758

22. 5900 \

22. 7008

22.8084

20. 8928

21. 0167

21. 1362

21. 2518

21. 3637

1239

1195

1156

1119

1087

22. 9132

23. 0151

23. 1143

23. 2112

23. 3056

1019

992

969

944

924

21. 4724

21. 5777

21. 6802

21. 7799

21. 8771

1053

1025

997

972

948

17 . 2

17. 74

18. 121

18. 431

18. 694

18. 926

19. 135

19. 327

19. 505

19. 672

19. 829

19. 978

20 . 120

20. 2555

20. 3855

20. 5103

20. 6307

20. 7468

20. 8594

20. 9681

21. 0736

21. 1763

21. 2760

5:38 16. 7 6

310 17. 30 44

263 17. 74 34

232 18. 084 282

209 18, 366 245

192 18. 611

i o non 217

178 18. 828 196

167

19. 024

19. 206 182

157 19. 375 169

149 19. 533 158

142 19. 683 150

136 142

1300 1 9 „ 825 136

1248 19. 961 130

1204 20. 091.125

1161 20. 2.16 119

1126 20. 335 117

1087 20. 4516 1120

1055 20 5636 1085

1027 20, 6721 1052

997 20, 7773 1021

973 20. 8794 995

23. 3980

23. 4884

23. 5766

23. 6632

23. 7479

904

882

866

847

831

21. 9719

22. 0645

22. 1549

22. 2432

22. 3296

926

904

883

864

849

21. 3733

21. 4680

21. 5604

21. 6507

21. 7 387

947

924

903

880

864

20. 9789

21. 0756

21. 1699

21. 2619

21, 3517

967

943

920

898

878

23. 8310 22. 4145 21. 8251 21. 4395

T

°R

252

270

288

306

324

342

360

378

396

414

432

450

468

486

504

522

540

558

576

594

612

630

648

666

684

702

720

738

756

774

792

810

- 20 -
Table 9. 22/2 Entropy of Molecular Oxygen S/R

Pressure

1 10 atm 40 atm 70 atm

T

°K

100 atm

T

°R

450 23. 8310 815

460 23. 9125 800

470 23. 9925 784

480 24. 0709 772

490 24. 1481 75g

22. 4145 830

22. 4975 81 o 22. 5788 797

22. 6585 7 8

c 22.7370 7 0Q

21. 8251

21. 9097

21. 9924

22. 0735

22. 1529

846

827

811

794

782

21. 4395

21. 5255

21. 6095

21. 6918

21. 7725

860

840

823

807

792

810

828

846

864

882

500 24. 2239 746

510 24. 2985 733

520 24. 3718 721

530 24. 4439 7l0

540 24. 5149 69g

22. 8139 756

22. 8895 744

22. 9639 73Q

23.0369 719

23. 1 088 7 q 8

22. 2311 707

22.3078 700

22. 3831 74Q

22. 457 1 790

22.5299 715

21. 8517 7 77

21.9294 7 0 3

22. 0057 74g

22. 0805 7 70

22. 1541 724

900

918

936

954

972

550

560

570

580

590

24. 5848

24. 6537

24. 7215

24. 7883

24. 8543

689

678

668

660

650

23. 1796 696

2 3 = 249 2 0 g

g

23. 3178 070

23. 3854 00=

23.4519

g 57

22 . 60 14 7 q

a 22.6718 693

22. 7411 683

22. 8094 072

22.8766 663

22. 2265 719

22. 2977 goo

22. 3676 c oq

22.4365 679

22. 5044 66 g

990

1008

1026

1044

1062

600

610

620

630

640

24. 9193

24. 9834

25. 0466

25. 1089

25. 1705

641

632

623

616

609

23. 5176

23. 5823

23. 6460

23. 7090

23. 7710

647

637

630

620

614

22. 9429

23. 0081

23. 0724

23. 1359

23. 1985

652

643

635

626

618

22. 5712

22. 6371

22. 7019

22. 7658

22. 8289

,659

648

639

631

623

1080

1098

1116

1134

1152

650

660

670

680

690

25. g314

25. 2913

25. 3506

25. 4091

26. 4669

599

593

585

578

572

23. 8324

23. 8928

23. 9525

24. 0114

24. 0697

604

597

589

583

575

23. 2603

23. 3211

23. 3812

23. 4406

23. 4993

608

601

594

587

578

22. 8912

22, 9525

23. 0130

23. 0727

23. 1318

613

605

597

591

582

1170

1188

1206

1224

1242

700

710

720

730

740

25, 5241

25. 5806

25. 6364

25. 6915

25. 7461

565

558

551

546

539

24. 1272

24. 1840

24. 2401

24, 2956

24. 3505

568

561

555

549

542

23. 5571

23. 6144

23, 6708

23, 7265

23. 7818

573

564

557

553

545

23. 1900

23. 2476

23. 3044

23. 3605

23. 4160

576

568

561

555

548

1260

1278

1296

1314

1332

750 25. 8000 r 33

760 25. 8533 028

770 25. 9061

TM

780 25. 9583 cff

790 26. 0099 5n

24.4047 c o0

24.4583 lit

24. 5114 col

24. 5638 0 19

24,6157 513

23. 8363

23. 8902

23. 9434

23. 9962

24. 0482

539

532

528

520

517

23. 4708

23. 5250

23. 5786

23. 6316

23. 6839

542

536

530

523

518

1350

1368

1386

1404

1422

800 26.0610 24. 6670 24.0999 23,7357 1440

- 21
Table

T

°K

800

850

900

950

1000

1050

1100

1150

1200

1250

1300

i350

1400

1450

1500

1550

1600

1650

1700

1750

1800

1850

1900

1950

2000

2050

2100

2150

2200

2250

2300

9. 22/2 Entropy of Molecular Oxygen S/R

_____ _______ Pressure 10 atm 40 atm 7 0 atm 100 atm1 T

°R

26. 0610

26. 3085

26. 5440

26. 7686

26. 9833

2475

2355

2246

2147

2055

24. 6670

24. 9157

25. 1521

25. 3773

25. 5926

2487

2364

2252

2153

2060

24. 0999

24. 3495

24. 5869

24. 8127

25. 0287

2496

2374

2258

2160

2065

23. 7357

23. 9864

24 2246

24. 4513

24. 6678

2507

2382

2267

2165

2070

1440

1530

1620

1710

1800

27. 1888

27. 3859

27. 5754

27. 7576

27. 9333

1971

1895

1822

1757

1696

25. 7986

25. 9963

26. 1861

26. 3685

26. 5446

1977

1898

1824

1761

1698

25. 2352

25. 4334

25. 6236

25. 8064

25. 9827

1982

1902

1828

1763

1700

24. 8748

25. 0733

25. 2640

25. 4471

25. 6237

1985

1907

1831

1766

1702

1890

1980

2070

2160

2250

28. ] 029 163g

28. 2667 15g5

28. 4252 1536

28. 5788 1488

28. 7276 1445

26. 7144

26. 8785

27. 0372

27. 1910

27. 3399

1641

1587

1538

1489

1446

26. 1527

26. 3171

26. 4760

26. 6299

26. 7790

1644

1589

1539

1491

1447

25. 7939

25. 9585

26. 1176

26. 2716

26. 4209

1646

1591

1540

1493

1450

2340

2430

2520

2610

2700

28. 8721

29. 0125

29. 1489

29. 2819

29. 4113

1404

1364

1330

1294

1262

27. 4845

27. 6250

27. 7616

27. 8946

28. 0241

1405

1366

1330

1295

1264

26. 9237

27. 0644

27. 2011

27. 3342

27. 4638

1407

1367

1331

1296

1264

26. 5659

26. 7067

26. 8434

26. 9766

27. 1063

1408

1367

1332

1297

1265

2790

2880

2970

3060

3150

29. 537 5 900

29 , 6608 \l

66

29. 7810 "

29. 8985 1 17b

30. 0133

28. 1505

28, 2738

28. 3941

28. 5116

28. 6265

1233

1203

1175

1149

1125

27. 5902

27. 7136

27. 8339

27. 9515

28. 0664

1234

1203

1176

1149

1125

27.2328 3240

27.3563 :"^ 3330

27. 4767 3420

27. 5944 1 3510

27.7094 3600

30. 1257 U01

30. 2358 1Q77

30. 3435 i q 38

30. 4491 1Q35

30. 5526 iq15

28. 7390

28, 8490

28. 9568

29. 0625

29. 1660

1100

1078

1057

1035

1015

28, 1789 11Q1

28. 2890 107Q

28. 3969 1056

28. 5025 1Q36

28 . 6061 1016

27.8219 4

-i o i 27.9320 1079

28, 0399 7

28.1456^

28 . 2492 1016

3690

3780

3870

3960

4050

30.6541 29.2675 28. 7077 28. 3508 4140

- 22 -
Table

T

°K2300

2350

2400

2450

2500

2550

2600

2650

2700

2750

2800

2850

2900

2950

3000

. 22/2 Entropy of Molecular Oxygen

P ressure __ Ho atm TM~ ¥0 atm 7 0 atm

S/R

100 atm^

30. 6541

30. 7538

30. 8516

30. 9477

31. 0422

997

978

961

945

929

29. 2675

29. 3673

29. 4651

29. 5613

29. 6558

998

978

962

945

928

28. 7077

28. 8074

28. 9053

29. 0015

29. 0960

997

979

962

945

929

28. 3508

28. 4506

28. 5485

28. 6447

28. 7393

998

979

962

946

929

31. 1351

31. 2263

31. 3161

31. 4045

31. 4914

912

898

884

869

856

29. 7486

29. 8399

29. 9297

30. 0181

30. 1050

913

898

884

869

857

29. 1889

29. 2802

29. 3700

29. 4585

29. 5454

913

898

885

869

856

28. 8322

28. 9235

29. 0133

29. 1018

29. 1887

913

898

885

869

857

31. 5770

31. 6614

31. 7444

31. 8263

31. 9070

844

830

819

807

30. 1907

30. 2751

30. 3581

30. 4400

30. 5207

844

830

819

807

29. 6310

29. 7154

29. 7985

29. 8805

29. 9612

844

831

820

807

29. 2744

29. 3588

29. 4419

29. 5239

29. 6047

844

831

820

808

- 23 -

T

°R

4140

4230

4320

4410

4500

4590

4680

4770

4860

4950

5040

5130

5220

5310

5400
Table 9. 22 Enthalpy and Entropy of Oxygen

The Property Tabulated

The enthalpy and entropy of oxygen are tabulated in the dimensionless forms (H-Eq)/RTq and S/R as functions of temperature in

°K and °R and of pressure in atmospheres. Tq is the temperature

of the ice point, 273. 16 °K, and E§ is the enthalpy of the ideal gas at

0 °K.

The values tabulated were obtained by combining values for the

ideal gas from Table 9. 10 of this series with differences between the

real and the ideal gas based on thermodynamic formulas and the virial

coefficients used for Table 9. 20 of this series.

The effect of dissociation is not included in this table, but its

magnitude may be estimated using formulas given in reference 1. Graphs are included with this table showing the general magnitude of

the effect of dissociation. If other constituents containing oxygen are

present, the effects are more complicated.

Reliability of the Tables

The accuracy of the tabulated values varies with temperature and

pressure. Disregarding the neglected effect of dissociation at the elevated temperatures, the error in the difference between real and ideal

properties is thought to be somewhat less than 5% in the range of moderate pressure, but may be as great as 10% at the highest pressure.

Interpolation

Linear interpolation between successive tabulated temperatures at

the same pressure is in general adequate for both entropy and enthalpy.

Linear interpolation in the pressure direction is similarly valid in the

enthalpy table. Linear interpolation is also in general adequate in the

entropy table, provided the independent variable is the logarithm of the

pressure rather than the pressure itself. The entries have, however,

been spaced to permit Lagrangian interpolation directly in pressure.

- 24 -
Conversion Factors

The functions in this table have been expressed in dimensionless

form. In order that they may be easily converted to any system of

units, conversion factors are listed for the frequently used units.

Conversion Factors

To convert

tabulated

value of

To Enthalpy with

the Dimensions

Indicated Below

Multiply

by

(H-Eg)/RT 0 cal mole

-

1 542. 821

cal g

-1

19. 3754

joules g" 1 SI. 0669

Btu (lb mole) -1 97 6o 437

Btu lb

~ 1 34. 8528

To convert tabulated value of

To the Dimensions

Indicated Below

Multiply

by

S/R cal mole -1 °K~ 1 (or °C -1

) 1. 98719

cal g

-1 °K-1

(or °C -1

) 0. 0620996

joules g

1 °K-1

(or °C 0. 259825

Btu (lb mole) -1 °R -1

(or °F“ 1

) 1. 98588

Btu lb" 1 °R -1

(or °F -1

) 0. 0620587

REFERENCE

[l] Ho Wo Woolley, The Effect of Dissociation on the Thermodynamic

Properties of Pure Diatomic Gases, Report No. 1884, National

Bureau of Standards, October 15, 1952.

- 25 -

ENTHALPY OF OXYGEN

1000 2000 5000

TEMPERATURE

3000

DEGREES KELVIN

4000



U. S. Department of Commerce National Bureau of Standards

The NBS - NACA Tables of Thermal Properties of Gases

Table 9. 24 Specific Heat of Molecular Oxygen

Cp/R

by

Harold W. Woolley

June 1953

Table 9. 24 Specific Heat of Molecular Oxygen

Pressure

l

. 01 atm

rtTlil irrr~t - nr--.

. 1 atm . 4 atm . 7 atm 1 atm 1 T

°K

100 3. 5024 -3 3. 5117 -27 3. 5459 _ 126

110 3. 5021 -2 3. 5090 -17 3. 5333 -74 3. 5597 _ 145

120 3. 5019 -2' 3. 5073 -13 3. 5259 -52 3. 5452 -94 3. 566 „ 130 3. 5017 -0 3. 5060 -8 3. 5207 -34 3. 5358 -63 3. 5513

140 3. 5017 -1 3. 5052 -6 3. 5173 -28 3. 5295 -50 3. 5419

150 3. 5016 +2 3. 5046 -3 3. 5145 -19 3. 5245 -34 3. 5347

160 3. 5018 1 3. 5043 -2 3. 5126 -14 3. 5211 -27 3. 5295

170 3, 5019 3

3. 5041 -1 3. 5112 -10 3. 5184 -20 3. 5256

180 3. 5022 5

3. 5040 +3 3. 5102 -6 3. 5164 -13 3. 5226

190 3. 5027 73. 5043 5

3. 5096 -1 3. 5151 -8 3. 5205

200 3. 5034

9

3. 5048

8

3. 5095 4*3 3. 5143 -4 3. 5190

210 3. 5043

14

3. 5056

12 3. 5098 8

3. 5139 44 3. 5182

220 3. 5057

1 7

3. 5068

1 6

3- 5106

1 1 3. 5143

8

3. 5181

230 3, 5074 ?? 3. 5084 2 1 3. 5117 3. 5151 3. 5185

240 3. 5096

27

3. 5105 26 3. 5196

250 3. 5123 no 3. 5131 32 3. 5214

260 3. 5156 38 3. 5163 38 3. 5238

270 3. 5194 45 3. 5201 44 3. 5269

280 3. 5239 50 3. 5245 49 3. 5307

290 ^3. 5289 56 3. 5294 56 3. 5352

300 3. 5345 63 3. 5350 63 3. 5403

310 3. 5408 69 3. 5413 68 3. 5462

320 3. 5477 75 3. 5481 75 3. 5527

330 3. 5552 79 3. 5556 79 3. 5599

340 3. 5631 86 3. 5635 86 3. 5675

350 3/5717 90 3. 5721 90 3. 5759

360 3. 5807 95 3. 5811 95 % 5846

370 3. 5902 100 3 5906 99 3 5939

380 3. 6002 i n o 3. 6005 l 02 3. 6036

390 3. 6105 iuo

107 3 6108

1 \J kJ 107 3. 6137

400 3- 6212 110 3. 6215 no 3- 6243

410 3. 6322 113 3. 6325 113 3. 6351

420 3 • 6435 i i is 3. 6438 115 3. 6462

430 3. 6550 118 3. 6553 117 3. 6576

440 3. 6668 119 3. 6670 119 «. 3. 6693

15

94

-1

+4

11

18

24

31

38

45

51

59

65

72

76

84

87

93

97

- 1 -

p/ R

T

°R

180

198

216

234

252

270

288

306

324

342

360

378

396

414

432

450

468

486

504

522

540

558

576

594

612

630

648

666

684

702

720

738

756

774

792

450 3. 6787 3. 6789 3. 6811 810
Table

T

450

460

470

480

490

500

510

520

530

540

550

560

570

580

590

600

610

620

630

640

650

660

670

680

690

700

710

720

730

740

750

760

770

780

790

800

9. 24 Specific Heat of Molecular Oxygen

I. 01 atm . 1 atm

Pressure

1 atm 10 atm I

3. 6787 120 3. 6789 120 3. 6811 118 3. 7022 108

3. 6907 122 3. 6909 122 3. 6929 121 3. 7130 112

3. 7029 122 3. 7031 122 3. 7050 121 3. 7242 112

3. 7151 123 3. 7153 123 3. 7171 122 3. 7354 114

3. 7274 122 2. 7276 122 3. 7293 122 3. 7468 114

3. 7396 124 3. 7398 124 3. 7415 123 3. 7582 115

3. 7520 123 3. 7522 123 3. 7538 122 3. 7697 115

3. 7643 122 3. 7645 122 3. 7660 121 3. 7812 115

3. 7765 122 3. 7767 122 3. 7781 122 3. 7927 116

3. 7887 121 3. 7889 121 3. 7903 120 3. 8043 114

3. 8008 121 3. 8010 120 3. 8023 120 3. 8157 115

3. 8129 119 3. 8130 119 3. 8143 119 3. 8272 114

3. 8248 118 3. 8249 118 3. 8262 117 3. 8386 113

3. 8366 117 3. 8367 117 3. 8379 117 3. 8499 112

3. 8483 116 3. 8484 116 3. 8496 115 3. 8611 111

3. 8599 114 3. 8600 114 3. 8611 114 3. 8722 109

3. 8713 113 3. 8714 113 3. 8725 112 3. 8831 109

3. 8826 111 3. 8827 111 3. 8837 111 3. 8940 107

3. 8937 1 10 3. 8938 110 3. 8948 110 3. 9047 106

3. 9047 108 3. 9048 108 3 9058 107 3. 9153 104

3. 9155 107 3. 9156 107 3. 9165 107 3. 9257 104

3. 9262 105 3. 9263 105 3. 9272 105 3. 9361 102

3. 9367 103 3. 9368 103 3. 9377 102 3. 9463 100

3. 9470 101 3. 9471 101 3. 9479 101 3. 9563 98

3. 9571 101 3. 9572 101 3. 9580 101 3. 9661 98

3. 9672 98 3. 9673 98 3. 9681 97 3 9759 95

3. 9770 96 3. 9771 95 3. 9778 96 3. 9854 94

3. 9866 95 3. 9866 96 3. 9874 95 3. 9948 92

3. 9961 93 3. 9962 93 3. 9969 93 4. 0040 91

4. 0054 91 4. 0055 91 4. 0062 90 4. 0131 88

4. 0145 90 4. 0146 90 4. 0152 90 4. 0219 88

4. 0235 88 4. 0236 87 4. 0242 88 4. 0307 86

4. 0323 86 4. 0323 87 4. 0330 86 4. 0393 84

4. 0409 85 4. 0410 85 4 0416 85 4. 0477 83

4. 0494 83 4. 0495 83 4. 0501 82 4. 0560 81

4. 0577 4. 0578 4. 0583 4. 0641

C

p

/R

T

°R

810

828

846

864

882

900

918

936

954

972

990

1008

1026

1044

1062

1080

1098

1116

1134

1152

1170

1188

1206

1224

1242

1260

1278

1296

1314

1332

1350

1368

1386

1404

1422

1440

- 2 -
Table 9. 24 Specific Heat of Molecular Oxyge

Pressure

n Cp/R

1 . 01 atm . 1 atm 1 atm 10 atm l T T

°k: °R

800 4. 0577 393 4- 0578 393 4. 0583 392 4 0641 385 1440

850 40970 357 4. 097

1 336 4. 0975 357 41026 350 1530

900 4, 1327 325 4. 1327 325 4. 1332 324 4. 1376 HI 1620

950 4. 1652 ggs

4. 1652 29 64. 1656 296 4. 1696 29 1 1710

1000 4. 1948 27

1

4. 1948 27

1

4. 1952 270 4. 1987 267 1800

1050 4. 2219 250 4. 2219 250 4. 2222 250 4. 2254 246 1890

1100 4.2469 229 4.2469 ^4. 2472 229 4. 2500 226 1980

1150 4. 2698 ?14 4. 2698 ^ i 4

4. 2701 214 4.2726 211 2070

1200 4 2912 200 J* 4. 2912 goo4. 2915 199 4. 2937 19g 2160

1250 4.3112 188 4. 3112 18g 4. 3114 188 4. 3135 186 2250

1300 4. 3300 1?9 4. 3300 279 4. 3302 179 4.3321 277 2340

1350 4. 3479 172 4.3479 172 4. 3481 172 4. 3498 1?1 2430

1400 4.3651 164 4. 3651 164 4. 3653 164 4. 3669 162 2520

1450 4. 3815 16 q

4. 3815 2 o

0

4. 3817 159 4.3831 159 2610

1500 4.3975 \ll 4-3975 HI 4. 3976 155 4. 3990 \ll 2700

1550 4.4130 152 4. 4130 152 4. 4131 152 4 - 4144 151 2790

1600 4. 4282 149 4.4282 149 4. 4283 149 4. 4295 14g 2880

1650 4.4431 14? 4.4431 247 4. 4432 147 4. 4443 146 2970

1700 4.4578 146 4.4578 146 4. 4579 146 4.4589 H5 3060

1750 4. 4724 144 4.4724 144 4. 4725 144 4.4734 144 3150

1800 4. 4868 143 4.4868 143 4. 4869 143 4. 4878 142 3240

1850 4. 50U.

^ 4 2

4. 5011 14 2

4. 5012 142 4. 5020 ^ 3330

1900 4. 5153 ^ 4 2

4. 5153 14 2

4. 5154 142 4. 5161 14 2

3420

1950 4.5295 141 4. 5295 141 4. 5296 141 4. 5303 ^ 4 a 3510

2000 4.5436 14Q 4. 5436 14Q 4. 5437 140 4.5443 14Q 3600

2050 4. 5576 139 4. 5576 139 4. 5577 139 4. 5583 13g 3690

2100 4. 5715 139 4. 5715 139 4. 5716 139 4. 5721 139 3780

2150 4. 5854 139 4. 5854 139 4. 5855 138 4. 5860 139 3870

2200 4. 5993 1 q7 4. 5993 t 27 4. 5993 137 4. 5999 136 3960

2250 4 6130 237 4.6130 i 37 4. 6130 138 4. 6135 x 37 4050

2300 4. 6267 4. 6267 4. 6268 4. 6272 4140

- 3 -
Table 9. 24 Specific Heat of Molecular Oxygen

T

° K

I. U 1 atm

Pressure

. 1 atm 1 atm

Cp/R

10 atm * T

°R

2300

2350

2400

2450

2500

4. 6267

4. 6404

4. 6540

4. 6674

4. 6808

137

136

134

134

132

4. 6267 . 4.6404

4 . 6540

46674 134

4 . 6808

2 32

4. 6268 136

4 ' 6404 136 46540 134

4 6674 134

4. 6808 , 00

4. 6272 137 4140

4.6409235 4230

4. 6544 234 4320

4.6678234 4410

4. 6812 232 4500

2550

2600

2650

2700

2750

4. 6940

4. 7071

4. 7200

4. 7328

4. 7454

131

129

128

126

125

4. 6940

4. 7071

4. 7200

4. 7328

4. 7454

131

129

128

126

125

4. 6940

4. 7071

4. 7200

4. 7328

4. 7454

131

129

128

126

125

4. 6944

4. 7074

4. 7203

4. 7331

4. 7457

130

129

128

126

125

4590

4680

4770

4860

4950

2800

2850

2900

2950

3000

4. 7579

4. 7703

4. 7824

4. 7944

4. 8062

124

121

120

118

4.7579 124

4.7703 221

4 . 7824 12Q

4 ' 7944 118

4. 8062

4. 7579

4. 7703

4. 7824

4. 7944

4. 8062

124

121

120

118

4. 7582 124 5040

4 . 7706 2Q 5130

4. 7826

^ 2Q 5220

4.7946 n8 5310

4. 8064 5400
Table 9. 24 Specific Heat of Molecular Oxygen C /R

r Pressure

T

I 1 atm . 4 atm 7 atm 10 atm * T

°K °R

120

130

140

3. 566 -is

3. 5513 .g

4

3.5419 -72 3 - 684 -38

216

234

252

150

160

170

180

190

3. 5347 _ 52

3 . 5295 oq

3. 5256 ' o

3. 5226 _ 21

3. 5205 _i5

3. 646 1 _2 5 5

3- 62u6_ 2gg

3. 6018 14*2

3. 5875;109

3. 5766 _ 85

3.781 _50

3. 7252_88 g

3. 6863 284

3. 6 57 9

_

2 16

3 . 6 36 3 _i 67

3. 951 _ j 04

3.847 fi7 3.780 _ 46

3. 7343.342

3. 7001 _2 62

270

288

306

324

342

200

210

220

230

240

3. 5190

3.6182 _i

3. 5181 + 4

3.5185 ii

3. 5196 lg

3. 5681 _Q8

3. 5613 -48

3. 5565 _ gg

3. 5526 _22

3. 5504 _ 16

3. 6196 _i32

® 3. 6064 -102

3- 5962 _ 8 o

3. 5882 -61

3-5821 _43

3. 6739 -205

3. 6534 -160

3. 6374 _i28

3. 6246 -100

3. 6146 _ 75

360

378

396

414

432

250

260

270

280

290

3.5214 9

, 3. 5238 ZZ

3. 5269 “J

3. 5307

3. 5352 ^

3. 5488 q

3. 5491

+ “ 3.5501

3. 5520 97

.3.5547 27

3. 5778 97

3. 5751 "f

3. 5736

3.5735

3.5745 2i

3.6071

3. 6016

3. 5977

3. 5955 a 3.5947

+

-°

450

468

486

504

522

300

310

320

330

340

3 . 5403 rq

3 5462

3. 5527 79

3. 5599

3.5675 ' 6

3.5584 , 3. 5629 Vi

3.5681 X 7

3. 5742 ^

3.5810 ^

3. 5766

3. 5797

3. 5838

3 5887 t

3.5945 H

3. 59.51

* 7

3.5968 9Ji 3. 5996 ^ 3. 6035 iZ • 3.6082

540

558

576

594

612

350

360

370

380

390

3. 57 59 g 7

3 . 5846 g g

3 . 5939 g7

3 . 6036 ini

3.6137 106

3. 5884 8 q

3. 5964 gg

3.6049 92

3.6140 95

3. 6235 200

3. 6010 72

3.6082 73

3.6160 34

3.6244 39

. 3. 6333 94

3.6138 63

3.6201 7Q

3.6271 73

3. 6349 33

. 3. 6432 33

630

648

666

684

702

400

410

420

430

440

3. 6243 10R

3. 6351 {ii 3.6462 114

3.6576 217

3. 6693 218

3. 6335

3. 6438 207

3. 6545 209

3. 6654 213

3. 6767 214

36427 99

3. 6526 iq2

3. 6628 io4

3.67 32 i ng

3.6841 \i 0

3.6520

3.6614

3. 6710 ioi

3.6811 io5

3. 6916 io6

720

738

756

774

792

450 3. 6811 3. 6881 3. 6951 3. 7022 810

5
Table 9. 24 Specific Heat of Molecular Oxygen

. Pressure

1 10 atm 40 atm 70 atm

T

o K

Cp/R

100 atm * T

°R

150 3 - 951 -104 270

160 3. 847 .•67 288

170 3. 780 .•46 5.7 306

180 3. 7343 -342 5. 03 _ 38 324

190 3. 7001 -262 4 - 65 -23 6 . 5 -8 342

200 3. 6739 -205 4 - 415 -162 5. 66 -50 7. 6 11

360

210 3. 6534 -160 4 - 2 5

- 11 6

5. 16 -33 6 . 48

’ -72 378

220 3. 6374 -128 4 - 137 -88 4. 831 -237 5. 76 -49 396

230 3. 6246 -100 4, 049 _ 6? 4. 594 -168 5. 27 -32 414

240 3 . 6146 -75 3.982 _ 52 4. 426 -125 4. 95 -24 432

250 3. 6071 3. 9296 4. 301 4. 710 450

- 55 -422 -97 -173

260 3. 6016 QQ 3.8874 4. 204 7

4. 537 i Qn 468

270 3. 5977

- o y 3-8535 ““

4. 129

j D

fin 4. 407

-I oU

i nn 486

280 3. 5955

-

3. 8263

*

4. 069

"DU

4. 307

-1UU

504

290 3. 5947

-8

+ 4

3. 80411^ 4. 020

-49

-39 4.. 229

-78

-64 522

300 3. 5951 17 3. 7862_141 3. 981 -32 . 4. 165 -52 540

310 3. 5968 28 3. 7721_ni 3. 949 -26 4. 113 -41 558

320 3. 5996 39 3.7610 _ 84 3 923 -22 4 072 -34 576

330 3. 6035 47 3. 7526 _ 6Q 3. 901 -17 4. 038 -29 594

340 3. 6082 56 3 7466

” 41 3. 884 -15 4. 009 -23 612

350 3. 6138 63 3. 7 425 22 3. 869 -11 3. 986 -19 630

360 3. 6201 70 3.74 03 _ 7

3 . 85 8 -8 3. 967 -15 648

370 3. 6271 78 3. 7396 + g

3. 850 -6 3. 952 -13 666

380 3. 6349 83 3 7404 lg 3. 844 -5 3. 939 -10 684

390 3. 6432 88 3.7422 31 3. 839 -3 3. 929 -8 702

400 3. 6520 94 3.7453 40 3. 836 -1 3. 921 -5 720

410 3. 6614 96 3.7493 4? 3. 835 0

3. 916 -5 738

420 3. 6710 101 3.7540 5 6

3. 835 + 2

3. 911 -2 756

430 3. 6811 105 3,7596 64 3. 837 2

3. 909 -1 774

440 3. 6916 106 3 7660 gg

3. 839

3

3. 908 0 792

450 3. 7022 3. 7729 3. 842 3. 908 810

- 6 -
Table

T

°K

450

460

470

480

490

500

510

520

530

540

550

560

570

580

590

600

610

620

630

640 i 650

660

670

680

690

700

710

720

730

740

750

760

770

780

790

800

. 24 Specific Heat of Molecular Oxygen Cp/R

Pressure

1 10 atm 40 atm 7 0 atm 100 atm ' rP

3 7022 108 3. 7729 73 3. 8420 38 3. 908 0

I °R

810

3. 7130 112 3. 7802 79 3. 8458 47 3. 908 2 828

3. 7242 112 3. 7881 81 3. 8505 53 3. 910 3 846

3. 7354 114 3. 7962 86 3. 8558 57 3. 913 3 864

3. 7468 114 3. 8048 86 3. 8615 62 3. 916 4 882

3. 7582 115 3. 8134 91 3. 8677 67 3. 920 4 900

3. 7697 115 3. 8225 93 3. 8744 70 3. 924 5 918

3. 7812 115 3. 8318 93 3. 8814 72 3. 929 5 936

3. 7927 116 3. 8411 96 3. 8886 76 3. 934 6 954

3. 8043 114 3. 8507 95 3. 8962 76 3. 940 6 972

3. 8157 1 1 53. 8602 97 3. 9038 80 3. 946 6 990

3. 8272

3. 8386

3. 8499

114

113

1 1 2

3. 8699

3. 8796

3. 8892

97

96

97

3. 9118

3. 9198

3. 9280

80

82

82

3. 952

3. 960

3. 967

8

7

6

1008

1026

1044

3. 8611 111 3. 8989 98 3. 9362 83 3. 973

7

1062

3. 8722

3. 8831

3. 8940

3. 9047

3. 9153

109

109

107

106

104

3. 9087

3. 9183

3. 9278

3 9374

3. 9468

96

95

96

94

94

3. 9445

3. 9528

3. 9611

3. 9694

3. 9778

83

83

83

84

83

3. 980

3. 986

3. 994

4. 001

4. 009

6

8

7

8

7

1080

1098

1116

1134

1152

3. 9257 104 3. 9562 93 3. 9861 83 4. 016 8 1170

3. 9361 102 3. 9655 92 3. 9944 82 4. 024 7 1188

3. 9463 100 3. 9747 90 4. 0026 81 4. 031 7 1206

3. 9563 98 3. 9837 89 4. 0107 80 4. 038 7 1224

3. 9661 98 3. 9926 90 4. 0187 79 4. 045 7 1242

3. 9759

3. 9854

3. 9948

95

94

92

4. 0016

4. 0103

4. 0188

87

85

85

4. 0266

4. 0344

4. 0422

78

78

78

4. 052

4. 059

4. 066

7

7

7

1260

1278

1296

4. 0040

4. 0131

91

88

4. 0273

4. 0357

84

82

4. 0500

4. 0576

76

75

4. 073

4. 080

7

6

1314

1332

4. 0219

4. 0307

4. 0393

88

86

84

4. 0439

4. 0520

4. 0600

81

80

77

4. 0651

4. 0726

4. 0800

75

74

72

4. 086

4. 094

4. 101

8

7

6

1350

1368

1386

4. 0477 83 4. 0677 78 4. 0872 7 J 4. 107 7 1404

4. 0560 81 4. 0755 75 4. 0943 74 4. 114 6 1422

4. 0641 4. 0830 . 4. 1017 4. 120 1440

- 7 -
Table

T

° K

800

850

900

950

1000

1050

1100

1150

1200

1250

1300

1350

1400

1450

1500

1550

1600

1650

1700

1750

1800

1850

1900

1950

2000

2050

2100

2150

2200

2250

2300

. 24 Specific Heat of Molecular Oxygen

Pres sure

1 10 atm 40 atm 70 atm

4. 0641

4. 1026

4. 1376

4. 1696

4. 1987

385

350

320

291

267

4. 0830

4. 1190

4. 1521

4. 1823

4. 2101

360

331

302

278

254

4. 1017

4. 1354

4. 1664

4. 1950

4. 2213

337

310

286

263

242

4. 2254

4. 2500

4. 2726

4. 2937

4 3135

246

226

211

198

186

4. 2355

4. 2591

4. 2808

4. 3012

4. 3202

236

217

204

190

180

4. 2455

4. 2681

4. 2889

4. 3085

4. 3270

226

208

196

185

172

4. 3321 17?

4. 3498 171

4. 3669 162

4.3831 ^

tjC) 4. 3990 154

4. 3382

4. 3555

4. 3721

4. 3879

4. 4034

173

166

158

155

150

4. 3442

4. 3608

4. 3771

4. 3925

4. 4076

166

163

154

151

148

4. 4144

4. 4295

4. 4443

4. 4589

4. 4734

151

148

146

145

144

4. 4184

4. 4332

4. 4477

4. 4621

4. 4764

148

145

144

143

141

4. 4224

4. 4369

4. 4511

4. 4652

4. 4794

145

142

141

142

139

4. 4878

4. 5020

4. 5161

4. 5303

4. 5443

142

141

142

140

140

4. 4905

4. 5047

4. 5185

4. 5325

4. 5464

142

138

140

139

138

4. 4933

4. 5071

4 5209

4. 5347

4. 5485

138

138

138

138

137

4. 5583

4. 5721

4. 5860

4. 5999

4. 6135

138

139

139

136

137

4. 5602

4. 5739

4. 5878

4. 6016

4. 6151

137

139

138

135

136

4. 5622

4 . 5758

4. 5896

4. 6032

4. 6166

136

138

136

134

135

4. 6272 4.6287 4.6301

Cp/R

100 atm*

T

°R

4. 120

4. 151

4. 180

4. 207

4. 232

31

29

27

25

23

1440

1530

1620

1710

1800

4. 255 1890

4. 277

22 1980

4. 297 20 2070

4. 316 19 2160

4. 334 jg 2250

4. 350 16 2340

4. 366 16 2430

4. 382 2520

4. 397 | 5 2610

4. 412 2700

4.426 2790

4. 440 14 2880

4. 454 j

4 2970

4.468 14 3060

4. 482 j

4 3150

4.496 3240

4. 510 j 4 3330

4. 523 3420

4.537

j

4 3510

4.551 14 3600

13

4. 564 3690

4. 578 j 4 3780

4. 591 13 3870

4. 605 14 3960

4. 618

jjj

4050

4. 631 4140

- 8 -

J
Table 9. 24 Specific Heat of Molecular Oxygen

Pressure

K

I 10 atm 40 atm 7 0 atm 1 00 atm I

2300 4. 6272 137 4. 6287 136 4. 6301 135 4. 631 14

2350 4. 6409 135 4. 6423 135 4. 6436 134 4. 645 13

2400 4. 6544 134 4. 6558 133 4. 6570 132 4. 658 is

2450 4. 6678 134 4. 6691 133 4. 6702 133 4. 671 14

2500 4. 6812 132 4. 6824 131 4. 6835 130 4. 685 13

2550 4. 6944 130 4. 6955 130 4. 6965 130 4. 698

12

2600 4. 7074 129 4. 7085 128 4. 7095 127 4.

I

1 ? 13

2650 4. 7203 128 4, 7213 128 4. 7222 127 4. 723 13

2700 4. 7331 126 4. 7341 125 4. 7349 125 4. 736 12

2750 4. 7457 125 4. 7466 124 4. 7474 124 4. 748 i3

2800 4. 7582 1 24 4. 7590

1 94 4. 75981 2ft 4. 761 12

2850 4. 7706

A. faJ i

1 20 4. 7714

± tc

1 20 4. 7721 120 4. 773 12

2900 4. 7826 120 4. 7834

I 6 V

120 4. 7841 119 4, 785 12

2950 4. 7946

1 1 R

4. 7954 1 1 ft 4. 7960

1 1 7

4. 797

11

3000 4. 8064

± 1 o

4. 8072

1 JL O

4. 8077

± J. i 4. 808

1

Cp/R

T

°R

4140

4230

4320

4410

4500

4590

4680

4770

4860

4950

5040

5130

5220

5310

5400

- 9 -
Table 9. 24 Specific Heat at Constant Pressure of Oxygen

The Property Tabulated

The specific heat of oxygen at constant pressure is tabulated in

the dimensionless form Cp/R as a function of temperature in °K and

°R, and of pressure in atmospheres. Values for .4, .7, 4 and 7 atmospheres have been omitted for temperatures at which the values may be

obtained by linear interpolation between lower and higher pressures.

The specific heat values were obtained by combining the ideal

gas specific heat values from Table 9. 10 of this series with differences

between real and ideal based on thermodynamic formulas and the virial

coefficients used for Table 9. 20 of this series.

The effect of dissociation is not included in this table but its

magnitude may be estimated with the formulas given in reference [5].

Reliability of the Tables

The accuracy of the tabulated values varies with temperature and

pressure. Disregarding the considerable deviation due to dissociation

at elevated temperature and low and moderate pressure, the error in

Cp - Cp is thought to be somewhat less than 5% in the range of moderate

pressure but may be as great as 10% at the highest pressure. Figure 1 gives a comparison between experimental values for the specific heat

[l - 4] and this table. Figure 2 shows the data of Workman [S] for the

dependence of specific heat upon pressure at 26°C and 60°C, with the

indications of the present correlation shown as curves for comparison.

Interpolation

The error produced by linear interpolation varies throughout the

table but does not in general exceed one eighth of the second difference,

so that for most of the table linear interpolation is adequate.

- 10 -
Conversion Factors

The function in the table has been expressed in dimensionless

form. In order that it may be easily converted to any system of units,

conversion factors are listed for the frequently used units. For other

conversion factors see Table 1. 30 of this series.

Conversion Factors

To convert tab - ulated value of

To the dimensions

indicated below

Multiply

by

Cp/R cal mole -1 °K-1 (or °C""

1

) 1. 98719

cal g

-1 °K" 1 (or °C -1

) 0. 0620996

joules g

-1 °K 1 (or °C ^) 0. 259825

Btu (lb mole) -1 °R -1 (or°F -1

) 1. 98588

Btu lb" 1 °R” 1 (or 0F

_1

) 0. 0620587 ]

REFERENCES

[1] A. Eucken and K. v. Lude, Die spezifische Warme der Gase bei

mittleren und hohen Temperaturem I. Die spezifische Warme der

Gase: Luft, Stickstoff, Sauerstoff, Kohlenoxyd, Kohlensaure,

Stickoxydul, und Methan zwischen 0° und 220°C, Z. physik. Chem.

B5, 413 (1929).

[2] P. S, H. Henry, The specific heat of Air, Oxygen, Nitrogen from

20° to 37 0°C, Proc. Roy. Soc. (London) A. 133, 492 (1931).

[3] W. G. Shilling and J. R. Partington, Measurements of the velocity

of sound in air, nitrogen and oxygen with special reference to the

temperature coefficients of the molecular heats, Phil. Mag. , 6,

920 (1928).

[4] P. F. Wacker, R. K. Cheney and R. B. Scott, Heat capacities of

gaseous oxygen, isobutane and 1 -butane from -30° to 90°, J.

Research, Nat. Bureau of Standards, 38, 651 (1947). R. P. 1804.

- 11 -
[5] H. W. Woolley, The effect of dissociation on the thermodynamic

properties of pure diatomic gases. Report No. 1884, National

Bureau of Standards, Oct. 15, 1952.

[6] E. J. Workman, The variation of the specific heats(Cp) of oxygen,

nitrogen and hydrogen with pressure, Phys. Rev. , 37, 1345 (1931).

- 12 -
OXYGEN

o

o

CM

o

o

o

o

o

m

o

o

CD

O

o

M"

o

o

CM

o

o

3ynidvd3a% FIG.

I.

DEPARTURE

OF

EXPERIMENTAL

SPECIFIC

HEAT

FROM

TABLE

3.24
.
FIG. 2. DEPENDENCE OF SPECIFIC HEAT UPON PRESSURE
»
U. S, Department of Commerce National Bureau of Standards

NBS-NACA Tables of Thermal Properties of Gases

Table 9. 26 Specific Heat Ratios of Molecular Oxygen

7

by

Harold W\ Woolley

June 1953

Table 9. 26 Specific Heat Ratios of Molecular Oxygen 7

Pressure

^01 atm . 1 atm 1 atm 4 atm 7 atm 10 atm

"I T T

°K °R

100 1. 400 1. 402 180

120 1. 400 1, 401 1. 417 - 6 216

140

160

180

1. 400

1, 400

1. 400

1. 401

1. 401

1. 400

1.411

1. 408

1. 406

-3

-2

1. 450

1. 435

1. 426

“15

- 9

- 6

1.466

1. 448

-18

-12

1. 500

1. 471 -29

-18

252

288

324

200 1. 400 1. 400 1 . 404 1. 420 1. 436 - 8

1. 453 - 1 ^ 360

220 1. 399 1. 400 1= 403 1. 415 1. 428 - 6

1. 441 - 9

_ 7

396

240 1. 399 1. 399 1. 402 1.412 1. 422 5

1. 432 432

260

280

1. 398

1. 396

1. 398

1. 396

1. 400

1. 398 . 1

1. 408

1.405

1. 417

1.412

- 5

- 4

1.425

1. 420

- 5

- 6

468

504

300 1. 395 1. 395 1. 396 1. 402 1. 408 1. 414 - 5 540

320 1. 393 1. 393 1. 394 1. 399 1. 404 1. 409 - 4 576

340 1. 390 1. 390 1. 392 1. 396 1. 400 1. 405 - 5 612

360 1. 388 1. 388 1. 389 1. 392 1. 396 1. 400 - A 648

380 1. 385 1. 385 1. 386 1. 389 1. 392 1. 396

*4: - 5

684

400 1. 382 1 a 3 8 2 1. 382 1. 385 1. 388 1. 391 720

420 1. 378 1. 378 1. 379 1. 382 1. 384 1. 387 756

440 1. 375 1. 375 1. 376 1. 378 1. 380 1. 383 792

460 1. 372 1. 372 'I. 372 1. 374 1. 376 1. 378 828

480 1 . 368 1. 368 1. 369 1. 371

A 1. 373 1. 374 864

500 1. 365 1. 365 1. 366 1. 367 1.369 1. 371 900

520 1. 362 1. 362 1. 362 1. 364 1. 365 1. 357 936

540 1. 359 1. 359 1. 359 1. 360 1. 362 1. 363 972

560 1. 356 1. 355 1. 356 1. 357 1. 358 1. 360 1008

580 1, 353 1. 353 1. 353 1 . 354 1. 355 1. 356 1044

600 1. 350 1. 350 1. 350 1. 351 1. 352 1. 353 1080

620 1. 347 1 . 347 1. 347 1. 348 1. 349 1. 350 1116

640 1 . 344 1. 344 1 . 344 1. 345 1. 346 1 . 347 1152

660 1. 342 1. 342 1. 342 1, 343 1. 344 1. 344 1188

680 1. 339 1. 339 1. 340 1. 340 1. 341 1. 342 1224

700 1. 337 1. 337 1. 337 1. 338 1. 339 1. 339 1260

720 1. 335 1. 335 1. 335 1. 336 1. 336 i*.»337 1296

740 1. 333 1. 333 1. 333 1. 334 1. 334 1. 335 1332

760 1. 331 1. 331 1. 331 1. 332 1. 332 1. 333 1338

780 1. 329 1. 329 1. 329 1. 330 1. 330 1. 331 1404
Table 9. 26 Specific Heat Ratios of Molecular Oxygen 1

Pressure

. 01 atm . 1 atm 1 atm 4 atm 7 atm 1 0 atm

T T

°K °R

800 1. 327 1. 327 1. 327 1. 328 1. 328 I. 329 1440

900 1. 319 1. 319 1. 319 lo 320 1. 320 I. 320 1620

1000 1. 313 1. 313 lo 313 1. 313 lo 314 lo 314 1800

1100 1. 308 1. 308 lo 308 I. 308 lo 308 lo 309 1980

1200 lo 304 1. 304 I. 304 1. 304 lo 304 lo 304 2160

1300 1. 300 1. 300 lo 300 1. 300 lo 301 I. 301 2340

1400 1. 297 1. 297 lo 297 lo 297 lo 297 lo 297 2520

1500 1. 294 1. 294 lo 294 lo 294 lo 294 1. 295 2700

1600 1. 292 1, 292 1. 292 1. 292 I. 292 lo 292 2880

1700 1, 289 1. 289 I, 289 1. 289 1. 289 lo 289 3060

1800 1. 287 1. 287 lo 287 lo 287 lo 287 lo 287 3240

1900 1. 285 1. 285 lo 284 lo 284 lo 284 lo 285 3420

2000 1. 282 1. 282 1. 282 lo 282 1. 282 lo 282 3600

2100 1. 280 1. 280 1. 280 lo 280 lo 280 lo 280 3780

2200 1. 278 1. 278 lo 278 lo 278 lo 278 lo 278 3960

2300 1. 276 1. 276 lo 276 1. 276 lo 276 lo 276 4140

2400 1. 274 1. 274 lo 274 lo 274 lo 274 lo 274 4320

2500 1. 272 1. 272 lo 272 1. 272 lo 272 lo 272 4500

2600 1. 270 1. 270 1. 270 lo 270 lo 270 lo 270 4680

2700 1. 268 1. 268 1. 268 lo 268 lo 268 1 o 268 4860

2800 1. 266 1. 266 lo 266 I. 266 lo 266 lo 266 5040

2900 1. 264 1. 264 1. 264 lo 264 I. 264 lo 264 5220

3000 1. 263 1. 263 lo 263 I, 263 lo 263 1.263 5400

- 2 -
Table 9. 26 Specific Heat Ratios of Molecular Oxygen y

Pressure

1 io atm 40 ,atm 70 atm 100 atm 1 T T

°K °R

120 216

140 252

160 l. 500 -29 288

180 i. 471 -18 1. 84 _ 16 324

200 l. 453 -12 1. 683 -81 2. 08 -26 360

220 l. 441 -9 1. 602 .-49 1. 818 -124 2. 12 _ 27 396

240 l. 432 -7 1. 553 .-33 1. 694 -71 1. 85 _ 13 432

260 i. 425 -5 1. 520 .-24 1. 623 -46 1. 721 -7 3 468

280 l. 420 -6 1. 496 .-18 1. 577 -35 1. 648 -49 504

300 l. 414 -5 1. 478 .-15 1. 542 -24 1. 599 -35 540

320 l. 409 -4 1. 463 .-13 1. 518 -23 1. 564 -27 576

340 l. 405 -5 1. 450 .-11 1. 495 -27 1. 537 -23 612

360 l. 400 -4 1. 439 -10 1. 478 -15 1. 514 -19 648

380 l. 396 -5 1. 429 -8 1. 463 -13 1. 495 -17 684

400 l. 391 1. 421 -8 1. 450 -11 1. 478 -14 720

420 l. 387 1. 413 -7 1. 439 -10 1. 464 -13 756

440 l. 383 1. 406 -7 1. 429 -10 1. 451 -12 792

460 l. 378 1. 399 -6 • 1. 419 -8 1. 439 -10 828

480 l. 374 1. 393 -6 1. 411 -7 1. 429 -9 864

500

520

540

560

580

l.

l.

l.

i.

i.

371

367

363

360

356

1.

1.

1.

1.1.

387

382

377

372

368

-5

-5

-5

-4

-5

1.1.

1 . 1.

1.

404

QO 7 sj O' 0 390

384

378

-7

-7

-6

-6

-5

1.

1.

1 . lo

1.

420

411

403

396

389

-9

-8

-7

-7

- 6

900

936

972

1008

1 044

600

620

l.

i.

353

350

1.1. 363

360

1.

1.

373

369

-4

- 5

1.

1 . 383

378

-5

5

1080

1116

640 i. 347 1. 356 1. 364 - 4

1. 373 -5 1152

660 . i. 344 1. 352 1. 360 -4 1. 368 -5 1188

680 l. 342 1. 349 1. 356 -3 1. 363 -4 1224

700 i. 339 1. 346 1. 353 1. 359 1260

720 l. 337 1. 34 3 1. 349 1. 355 1286

740 i. 335 1. 341 1. 346 1. 352 1332

760 i. 333 1. 338 1. 343 1. 349 1368

780 i. 331 1. 336 1. 340 1. 345 1404

1.338 1.342 1440

- 3 -

800 1. 333
Table 9. 26 Specific Heat Ratios of Molecular Oxygen y

Pressure

1 0 atm 40 atm 70 atm 100 atm * T T

°K °R

800 1. 329 _ g

1. 333

g

1. 338 _ n

1. 342 _ 19 1440

900 1.320 6

1. 324 _ g

1.327 _ g

1. 330 _g

1620

1000 1.314 _ 5

1. 316 _ 6 1.319 _ 7

1.321 1800

1100 1. 309 _ 5

1. 310

_

4 1.312 _ 5

1. 314 _ 6

1980

1200 1. 304 _ 3

1. 306 _ 4 1.307 _ 4 1.308 _ 4

2160

1300 1. 301 1. 302 1. 303 1. 304 2340

1400 1. 297 1. 298 1. 299 1. 300 2520

1500 1. 295 1. 295 1. 296 1. 297 2700

1600 1. 292 1. 292 1. 293 1. 293 2880

1700 1. 289 1. 290 1. 290 1. 290 3060

1800 1. 287 1. 287 1. 287 1. 288 3240

1900 1. 285 1. 285 1. 285 1. 285 3420

2000 1. 282 1. 282 1. 283 1 . 283 3600

2100 1. 280 1. 280 1. 280 1. 280 3780

2200 1. 278 1. 278 1. 278 1. 278 3960

2300 1. 276 1. 276 1. 276 1. 276 4140

2400 1. 274 1. 274 1. 274 1. 274 4320

2500 1. 272 1. 272 1. 272 1. 272 4500

2600 1. 270 1. 270 1. 270 1. 270 4680

2700 1. 268 1. 268 1. 268 1. 268 4860

2800 1. 266 1. 266 1. 266 1. 266 5040

2900 1. 264 1. 264 1. 264 1. 264 5220

3000 1. 263 1. 263 1. 263 1. 263 5400

_ 4 _
Table 9. 26 Specific Heat Ratio for Oxygen

The Property Tabulated

The specific heat ratio y

~ Cp/Cv of oxygen is tabulated as a

function of temperature in degrees Kelvin and Rankine and of pressure

in atmospheres. The effect of dissociation is not included in this

table.

To obtain the values of y for this table, values of Cp/R as given

in Table 9. 24 of this series were combined with

C

p

- Cv __ [Z + T(ZZ/dT)P } 2

R [Z - P(dZ/dP)T]

in which the values of Z and its derivatives are consistent with

Table 9. 20.

Reliability of the Table

One the basis of the reliabilities estimated for specific heats and

compressibilities. Tables 9. 24 and 9. 20, respectively, the values of y

are considered to be reliable to within 5% of their departures from

ideal values at pressures below 40 atmospheres and possibly only within

10% of this difference at the highest pressure of 100 atmospheres.

- 5 -

U. S„ Department of Commerce National Bureau of Standards

NBS - NACA Tables of Thermal Properties of Gases

Table 9. 32 Sound Velocity in Molecular Oxygen

by

Harold W, Woolley

June 1953

Table 9. 32 Sound Velocity in Molecular Oxygen

Pressure

r T

°K

01 atm . 1 atm 1 atm 4 atm 7 atm 1 0 atm !

100

120

140

160

180

200

220

240

260

280

300

320

340

360

380

400

420

440

460

480

500

520

540

560

580

600

620

640

700

720

740

760

780

. 606

. 664

. 717

. 766

. 813

. 857

. 898

. 938

. 976

1 . 012

1. 048

1 , 1 , 1,1 ,

081

113

145

175

58

53

49

47

44

41

40

38

36

36

33

32

32

30

29

1. 204

1. 232

260

286 :

28

26 1 . 1 , 1. 312

1. 338

1 . 363 9 a i. 387

1.411

24

1. 435

26

26

25

24

1. 457

1. 480 ; 1. 502

1. 524

23

680 1. 545

21

!o 567 22 1-588"

1. 608

1. 629 ^

i. 649 fj; 1 y

800 1.668

. 605

. 663

.717

. 766

. 813

. 857

. 898

. 938

. 976

1 . 012

1. 048

1. 081

113

145

17 5

58

54

49

47

44

41

40

38

36

36

33

32

32

30

29

28 ??

4 28

26 1. 260

! . 286

1 e 312 *5 0

25

24

338

363

387

411 24

1.435 22

1.457

1.480 2 2

1 . 502 99

1.524

1. 545

21

22

1. 567

1. 588

1. 608

1. 629

1. 649

1. 669

21

20

21

20

20

659

713

764

811

1. 145

1. 175

1

1. 339

1. 363

1 . 388

1. 411

1. 435

54

51

47

45

.OJU a <rj(

* 8^8

.938 oo .976 5?

1. 012

047

081

114

34

33

31

30

/

204 28

1. 232 28

1.260 27

26

X ° 313 26

24

25

23

24

1 , 1. 480

1. 502

1. 524

1. 546

1. 567

1. 588

1. 609

1. 629

1. 649

21

20

20

20

a0

1 . 669

314. 82 m sec” x

703

54

757 750 , 743

807 46 802

J GA 47 797

853 A Q 849 A ^ 846

, 896 rt aj 4.1 ,894 41 892

, 937 38 835 40 , 934

,975

<U> U

37 975 37 , 974

1. 012 36 1. 012 36 1., 013

1. 048 34

32

1. 048 34 1,, 048

1. 082 1. 082

oj) j, 33 1., 083

1. 114

<1.9 <t4 32 1. 115 32 1., 116

1. 146 30 1. 147 30 1., 148

1. .176 29 1. 177 30 1., 179

1. 205 29 1 . 207 28 1., 208

1. 234 28 1., 235 28 1., 237

1. 962 d=J 26 1. 263 1., 265

1. 288 27 1., 290

fkA (J 26 1., 291

1. 315

AJ 0 25 1. 316 26 1. 318

1.

1. 340365

25

24

1.

1. 342367

25

24

1,

1. 344, 369

1. 389

Gi TE 24 1. 391 24 1.,393

1. 413 24 1. 415 23 1. 417

1. 437 23 1. 438 23 1. 440

1. 460 22 1. 461 23 1., 463

1. 482 22 1. 484 22 1. 486

1. 504

or! &A 22 1. 506 22 1. 508

1. 526 22 1. 528 22 1. 530

1. 548

e=2 21 1. 550 21 1. 552

1. 569 -i 1. 571 ‘•l 1 1., 573

1. 590 1. 592 .L O) A 1. 594

1. 611 211. 612 1. 615

1. 631 201. 633 21

1. 635

1. 651 20

20

1. 653

20

1. 655

1. 671 1. 67 3 1. 675

54

49

46

42

40

39

35

35

33

32

31

29

29

27

25

24

24

23

23

23

22

22

22

21

21

21

20

20

20

1032. 9 ft sec x

a/aQ

T

° R

180

216

252

288

324

360

396

432

468

504

540

576

612

648

684

720

7 56

792

828

864

900

936

972

1008

1044

1080

1116

1152

1188

1224

1260

1296

1332

1368

1404

1440

1
Table 9, 32 Sound Velocity in Molecular Oxygen

Pre ssure

. 01 atm . 1 atm 1 atm 4 atm 7 atm 1

atm 1

o K

800

900

1000

1100

1200

1300

1400

1500

1600

17 00

1800

1900

2000

2100

2200

2300

2400

2500

2600

2700

1 . 668

1. 764

1. 856

1. 942

2 . 026

2, 105

2, 182

2. 256

2. 328

2. 397

2. 465

2. 530

2. 593

2. 655

2. 715

2. 774

2„ 832

2 . 888

2. 943

2. 996

2800 3o 049

2900

3000

3. 100

3. 152

96

92

86

84

79

77

74

72

69

68

65

63

62

60

59

58

56

55

53

53

51

52

1. 669

1. 764

1. 856

1. 942

2. 026

2. 105

2, 182

2. 256

2. 328

2. 397

2, 465

2. 530

2o 593

2. 655

2, 715

2„ 774

2. 832

2 „ 888

2o 943

2. 996

3. 049

3. 100

3. 152

95

92

86

84

79

77

74

72

69

68

65

63

62

60

59

58

56

55

53

53

51

52

1. 669

1. 765

1. 856

1. 943

2, 026

2. 106

2. 183

2o 257

2. 329

2o 398

2. 465

2o 530

2. 593

2. 655

2. 716

2„ 775

2. 832

2o 888

2. 943

2. 997

3. 049

3o 101

3c 152

96

91

87

83

80

77

74

72

69

67

65

63

62

61

59

56

55

54

52

52

51

L 671

1. 767

1. 858

1. 945

2c 028

2c 107

2c 184

2. 258

2c 330

2c 399

2c 467

2. 531

2. 595

2c 657

2. 717

2. 776

2c 833

2c 889

2c 944

2. 998

3o 050

3c 102

3 c 154

96

91

87

83

79

77

74

72

69

68

64

64

62

60

59

57

56

55

54

52

52

52

lc 673

lc 769

P 860

lc 946

2. 029

2c 109

2. 186

2c 260

2c 332

2c 400

2. 468

2c 533

2. 596

2. 658

2 » 7 1

2, 834

2. 891

2. 945

2. 999

3. 052

3c 103

3c 155

96

91

86

83

80

77

74

68

68

65

63

62

60

59

57

57

54

54

53

51

52

lc 675

1. 770

1

i 862

948

2c 031

2 , 110

2. 187

2. 262

2c 333

2c 402

2c 469

2c 535

2c 597

2. 659

2c 778

2c 836

2. 892

2c 947

3c 000

3c 053

3c 104

3c 156

95

92

86

83

79

77

75

71

69

67

66

62

62

61

58

58

56

55

53

53

51

52

aQ •- 314c 82 m sec'^ 1032c 9 ft sec” 1

T

°R

1440

1620

1800

1980

2160

2340

2520

2700

2880

3060

3240

3420

3600

3780

3960

4140

4320

4500

4680

4860

5040

5220

5400
Table 9. 32 Sound Velocity in Molecular Oxygen a/

a

9

| —— Pressure

1

0

atm 40 atm 7 0 atm 100 atm 1 T T

°K °R

160 * 743 54 288

180 ,797 49 * 749 70 324

200 ,846 4g ° 8 ^ 9 57 . 812

g 4

360

220 ,892 4 p

. 876 ,--1 51 . 876

9

DD • 911 45 396

240 ,934 4Q ° 927 4 g

- 931 4 q, 956 44 432

260 ,974

g

.973 ^ • 980 45 1. 000 42 468

280 1 - 01S 35 1.015 4Q 1. 025 4

-j 1.042 4 , 504

300 1.048 35

i. 055 37 lo 066 39 1. 083 3q 540

320 1,083 1.092 Q

, 1. 105 1. 122 Q7 576

340 i, lie 1i, 127

34 1.141 35

lo 159 35 612

360 1. 148 31

i. 161 32 1.176 33 1. 194 33 648

380 i, 179 2g i. 193 30 1. 209 31

1. 227 e , £} 684

400 i, 208 29 1. 223 go

1.240 _ 1. 259 3]

720

420 1. 237 1. 253 29

tJ -L 1 . 271 ,J>Q 1. 290 1 756

440 lm 265 26 1.282 27 1.300 27 1. 319 2R 792

460 1,291 7

1. 309 27 !. 327 28 1 . 347 nrj 828

480 1,318 26 1. 336 26 1. 355 26 1.374 27 864

500 1, 344

25

1. 362

25

1 . 38 1 sjg 1. 401 26

900

520 1,369 24 1.387 ^ 1.407

“ 4 1.427 25 936

540 1.393 24 i. 412 24 lo 431 25 1.452 , 4

972

560 1.417 1. 436 CJ4 1. 456 23 !. 4?o 24 1008

580 1.440 23 1 ° 460 23 1 „ 47 9 23 1. 500 23 1044

600 !. 463 go 1.483 ^ p

1. 502 23 1.523 23 1080

620 1.486 !• 506 1. 525 03 1.546 22 1116

640 1,508 2 2

1. 528 9 \

1 „ 548 2 ^ 1 . 568 1152

660 1. 530 2 2

1. 549 1. 569 1. 590 21 1183

680 X o 5 5 i ^ I 1. 571 -L 1. 591 ot£4 1 1.611 21 1224

700 1. 573 0

1 . 592 1 . 612 1, 632 .

,

1260

720 1. 594 21

1. 613 21 1 1. 633 * J

1

1. 653 „

A 1296

740 1.615 21 21

1. 634

on

1. 653 i. 674 1332

760 1. 635 20

1. 654 20

1. 674 211. 694 29 1368

780 i.655 2Q 1 674 29

I. 2Q 1. 693 “>

1. 713 1404

800 1. 675 1. 694 1. 713 1. 733 1440

aQ “ 314,82 m sec

-1 - 1 032, 9 ft sec' ^

- 3 -
Table 9. 32 Sound Velocity in Molecular Oxygen

T

°K

1*1 0 atm

Pressure

40 atm 70 atm 100 at m *

800 1. 675 95 1. 694

95 1.713 95 1. 733 95

900 1. 770 92 1. 789

91 1. 808 90 1. 828 89

1000 1. 862

86 1. 880 86 1. 898 86

1. 917 85

1100 1. 948 83 1. 966

83

1. 984 82 2. 002

81

1200 2. 031 79 2. 049 79 2. 066 78 2. 083 79

1300 2. 110

77

2. 128 76 2. 144 76 2. 162 75

1400 2. 187

7 5

2. 204 7 32. 220

7 4

2. 237

7 3

1500 2. 262

7 1 2. 277

8 O

7 1 2. 293

fl O

7 1 2. 310 69

1600 2. 333

8 J. 69 2. 3488 j. 69 2. 364

0 1 68 2. 379

yj68

1700 2. 402

67

2. 417

67

2. 432 66 2. 447

67

1800 2. 469

66 2. 484 65 2. 498 65 2. 51463

1900 2. 535 62 2. 549 62 2. 563 63 2. 577 63

2000 2. 597

Vi* 62 2. 611U 6J. 62 2. 626 60 2. 640 60

2100 2. 659 6 1 2. 67 3

6 fl 2. 686 60 2. 700 59

2200 2. 720

U _L 58

2. 733

u u 58

2. 746

58

2. 7 59

58

2300 2. 778

58

2. 791

57

2. 804

57

2. 817

57

2400 2. 836 2. 848 56 2. 861 55 2. 874 55

2500 2. 892

J U 55

2. 904

KJ U

55

2. 916

55

2. 929

54

2600 2. 947

53 2. 95953

2. 971

53 2. 983 53

2700 3. 000

53

3. 012 52 3. 024 52 3. 036 52

2800 3. 053

51

3. 064

52

3. 076

51

3. 088 50

2900 3. 104 52 3. 116

51

3. 127

51

3. 138 51

3000 3. 156 3. 167

vj JL 3. 178

i. 3. 189zJ ja^ = 314. 82 m sec ^ - 1032. 9 ft sec ^

a/ aQ

T

°R

1440

1620

1800

1980

2160

2340

2520

2700

2880

3060

3240

3420

3600

3780

3960

4140

4320

4500

4680

4860

5040

5220

5400

- 4 -
Table 9. 32 Sound Velocity in Molecular Oxygen

The Property Tabulated

The relative sound velocity, a/ag, for a sound of low frequency

in oxygen is tabulated as a function of temperature in degrees Kelvin

and Rankine and of pressure in atmospheres. The sound velocity is

represented by a, while ag represents the value of a at the standard conditions of 0°C and one atmosphere pressure. The values for

the velocity are calculated from ratios of specific heats, 7, the

density,

p

, and the compressibility and its derivatives for which

reference may be made to Tables 9. 26, 9. 18, and 9. 20, The values

are obtained from the theoretical relation

a = Z

1/

RT T

M[Z - P(0Z/9 P)T ] R is the gas constant in appropriate units and M is the molecular

weight, 32, 000 , The values tabulated are for equilibrium conditions

as far as equalization of vibrational and rotational energies are concerned and thus do not apply at very high frequencies. The effect of

dissociation has not been included, so that the values are not strictly

for equilibrium conditions at elevated temperature and low and moderate pressure.

Reliability of the Table

The accuracy of the values tabulated varies with temperature and

pressure. Numerically, the reliability is roughly that indicated for

values of 7 in terms of departures from ideal gas values. At 200°K,

the values are believed to be reliable within about . 003 at 10 atm, . 014

at 40 atm, . 05 at 70 atm and . 14 at 100 atm. At 400°K, the values may

have uncertainties of about one tenth as much, becoming still less at

higher temperatures where the gas is more nearly ideal. The uncertainties, disregarding dissociation, may be as small as . 004 at 100 atm

for the higher temperatures.

- 5 -
A considerable effect due to dissociation occurs at the highest

temperatures, particularly for the low pressures. Its magnitude

may be estimated with formulas discussed in reference [ 1 ]

Interpolation

Linear interpolation is valid in this table.

Conversion Factors

The tabulated quantity has been expressed in dimensionless form.

Conversion factors are listed at the bottom of each page in ft sec

-

-*- and

meter sec

-1

. For conversions to other units see Table 1. 30 of this

series.

REFERENCE

[lj H. W. Woolley, The effect of dissociation on the thermodynamic

properties of pure diatomic gases. Report No. 1884, National

Bureau of Standards, October 15, 1952.

- 6 -
a^myvdia %

FIG.

I.

DEPARTURES

OF

EXPERIMENTAL

VELOCITY

OF

SOUND

FROM

TABLE

9.32

U. S. DEPARTMENT OF COMMERCE

Charles Sawyer, Secretary

NATIONAL BUREAU OF STANDARDS

E. U. Condon, Director

THE NBS-NACA TABLES OF

THERMAL PROPERTIES OF GASES

Table 9.39 Molecular Oxygen

Preliminary Issue July 1950

Coefficient of Viscosity

vho

Compiled by R. L. Powell

FOREWORD

This is one of a series of tables of Thermal Properties of Gases being compiled at the National Bureau of Standards at the suggestion and

with the cooperation of the National Advisory Committee for Aeronautics.

Recent advances in methods of propulsion and the high speeds attained

thereby have emphasized the importance of accurate data on thermal properties of wind-tunnel and jet-engine gases. It is the purpose of the

project on Thermal Properties of Gases to make a critical compilation of

existing published and unpublished data, and to present such data in con- venient form for application. The loose-leaf form has been chosen as being most convenient, and revisions are anticipated as new data become

available.

The' dimensionless character of the tables and their general format

should facilitate calculations in aerodynamics, heat- transfer, and jetengine problems. Suggestions for the extension or improvement of these

tables are desired as well as information regarding unpublished data.

Information and other correspondence regarding these tables should be

addressed to Joseph H ilsenrath

,

Heat and Power Division, National Bureau

of Standards.
Table 9.39—COEFFICIENT OF VISCOSITY OF OXYGEN

2
Table 9.39—COEFFICIENT OF VISCOSITY OF OXYGEN—Continued

3
TABLE 9.39 COEFFICIENT OF VISCOSITY OF OXYGEN

The Property Tabulated

The viscosity of gaseous oxygen is given in this table for temperatures from 80 °K to 2000 °K (144°R to 3600°R) at one atmosphere pressure.

This viscosity is given in the dimensionless form 17/17 0 by dividing the

absolute viscosity at a given temperature by the viscosity at 273.16°K

and one atmosphere pressure, which is assumed to be 1919.2x10 7 poises.

This value is in close agreement with the determination by Johnston and

McCloskey [4], who found the viscosity to be 1918.4 x 10~ 7 poises at

273.16°K, based on the value 1833.0 x 10

-7 poises as the viscosity of dry

air at 296.1°K.

The viscosities were calculated using the Lennard- Jones potential,

as applied by Hirschfelder, Bird, and Spotz [2], in which the potential

energy of interaction between the two molecules is given by

e(r)

6

where e

m is the maximum energy of attraction and r0 is the low velocity

collision diameter. The coefficient of viscosity for a single gas is

given by

i? x 10 7 = 266.93 V

r

o

2 w( 2

> (2)

>fW

where M is the molecular weight, T is the temperature in degrees Kelvin,

and V and W^ 2 ^(2) are functions of kT/e. Hirschfelder, et al [2], have

calculated the collision integrals needed for the computation of the

transport properties, and have suggested the parameters for 45 gases.

For this table the characteristic parameters

a , 1 [Me

e/k = 100 and —r —=4.621

r

o

^ k were redetermined by fitting to the data of Johnston and McCloskey and

Trautz and Zink in the ranges 90°K to 300°K and 300°K to 1100°K respectively. For ease in computation, Bromley’s adaptation [ 1 ] of Hirschfelder’s

tables was used.

There is little experimental evidence of any significant variation

of viscosity with pressure at moderate pressures [3]

.

Reliability of the Table

A graphical comparison of the tabulated values and the experimental

results of six authors (4, 6, 9, 10, 11, 14) is given in Figure 1. The

viscosity table is reliable within 1% below 1000°K. The extrapolated

values to 2000°K are reliable within 2%.

Interpolation

Linear interpolation is valid above 200°K, below that temperature

Lagrangian interpolation is recommended.

4
Conversion Factors

The viscosity of oxygen has been expressed in dimensionless form.

Conversion factors for the more frequently used units are given. For

conversion factors not listed here, see table 1.30 of this series.

To convert tabulated

value of— To— Having the dimensions

indicated below Multiply by —

v/v 0 V poise or g(M) sec

-1 cm

-1

1919.2 x |0"7

Kg(M) hr-1 m"1 6.9091 x IQ"2

1 b( F) sec ft-2

4.0084 x IQ -7

1 b (M ) sec"1 ft"1 1.2896 x !Q~5

1 b(M) hr"1 ft"1 4.6427 x |0"2

REFERENCES

[1] LeRoy A. Bromley, "Calculation of gas viscosity as a function of temperature,"

U. S. Atomic Energy Comm., UCRL-525 (1949).

[2] J. 0. H i rschfel der, R. B. Bird, E. L. Spotz, Viscosity and other physical properties of gases and gas mixtures, Trans. ASME, 48,921 (1949).

[ 3 ] A. Van Itterbeek, W. H. Keesom, Measurements on the viscosity of oxygen gas, Physica, 2, 97 ( 1935).

[ 4 ] H. L. Johnston, K. E. McCloskey, Viscosities of gases, J. Phys. Chem. , 44, 1038

(1940).

[5 ] H. Markowski, Die innere Reibung von Sauerstoff, Wasserstoff, chemischem und at- mospharischem Stickstoff und ihre Anderung mit der Temperatur, Ann. Physik, 4-14,

742 (1904).

[6] P. J. Rigden, The viscosity of air, oxygen, and nitrogen, Phil. Mag., 7-25, 961

(1938).

[7 ] E. Thomson, Uber die innere Rei bung von Gasgemischen, Ann. Physik, 4-36,815(1911).

[8] M. Trautz, R. Heberling, Die Reibung von NH^ und seinen Gemischen mit h

2

, N

2

, 0

2

, C

2 H4

, Ann. Physik, 5-10, 155 (1931).

L9] M. Trautz, A. Melster, Die Reibung von H

2

, N

2

, CO, C

2 H4

, 0

2

, und ihren binaren

Gemischen, Ann. Physik, 5-7, 409 (1930).

[|0] M. Trautz,* R. Zink. Gasreibung bei hoheren Temperaturen, Ann. Physik, 5

- 7 , 427

(1930).

[11] H. Vogel, 'V i skosi tat ei n i ger Gase, Ann. Physik, 4-43, 1235 (1914).

[12] E. Volker, ilber den Koeff iz ienten der inneren Reibung von Sauerstoff und Wasserstoff bei niederen Temperaturen, Diss. , Halle, 1910.

[13] K. Yen, Determination of the coefficient of viscosity of hydrogen, nitrogen and

oxygen, Phil. Mag., 6-38, 582 (1919).

[14] R. Wobser, F. Muller, Die innere Reibung von Gasen und Dampfen und ihre Messung

im Hoppler-Viskosimeter, (Colloid Beihefte, 52, 165 (1941).

5
OXYGEN

u i €C

I

o

MlQ

- 1

-2

% DEPARTURE * i . Igaig-x |QO

Tfcalc

**

.# o

-X.

X

I 1 I I 500 T ®K

X

i i 1000

0

-I

-2

• Johnston & Me Closkey — 1940

X Trautz & Zink— !930

X Wobser & Muller — 1941

Vogel— 1914

o Troutz & Melster— 1930

a Riqden— 1938

FIGURE I. DEPARTURES OF EXPERIMENTAL VISCOSITIES FROM TABLE 9.39

6
U. S. DEPARTMENT OF COMMERCE

Charles Sawyer, Secretary NATIONAL BUREAU OF STANDARDS

E. U. Condon, Director

THE NBS-NACA TABLES OF

THERMAL PROPERTIES OF GASES

Table 9.42 Molecular Oxygen

July 195] I

Thermal Conductivity

k/k0

Compiled by R. L. Nuttall

FOREWORD

This is one of a series of tables of Thermal Properties of Gases being compiled at the

National Bureau of Standards at the suggestion and with the cooperation of the National

Advisory Committee for Aeronautics. Recent advances in methods of propulsion and the

high speeds attained thereby have emphasized the importance of accurate data on thermal

properties of wind-tunnel and jet-engine gases. It is the purpose of the project on Thermal

Properties of Gases to make a critical compilation of existing published and unpublished data,

and to present such data in convenient form for application. The loose-leaf form has been

chosen as being most convenient, and revisions are anticipated as new data become available.

The dimensionless character of the tables and their general format should facilitate calculations in aerodynamics, heat-transfer, and jet-engine problems. Suggestions for the

extension or improvement of these tables are desired as well as information regarding un- published data. Information and other correspondence regarding these tables should be

addressed to Joseph Hilsenrath, Heat and Power Division, National Bureau of Standards.
Table 9.42 Thermal Conductivity of Molecular Oxygen

T k/k A

0

T T k/k

Q

A T

®K ®R °K °R

80 .293 144

90 .331 ® 162

100 •368 180 350 1.25 630

110 .406 198 360 1.28 3 648

120 .444 f 216 370 1.32 4 666

130 .488 234 380 1.35 3 684

140 .520 ?

3

37

252 390 1.58 * 702

150 .557

,p

270 400 1.41 - 720

160 •595 288 410 !.44

3 738

170 •633 ~ 306 420 1.47 3 756

180 •569 324 430 1.50 3 774

190 .706 37

37

342 440 i.53 3 792

200 .743 360 450 1.56 310

210 .779 33 378 460 1.59 3 828

220 .815 33 396 470 1.62 3 846

230 • 850 f

414 480 1.64 \ 864

240 . 885 ?^35432 490 1.67 3

3

882

250 .920 450 500 1.70 900

260 .954 ^ 468 510 1.73 3 918

270 .989 30 486 520 1.76 3 936

280 1.02 " 504 530 1.78 2 954

290 1.06 *522 540 1.81 l

972

300 1.06 540 550 1.84 990

310 i.12 l558 560 1.86 2 1008

320 1.16 \576 570 1.89 3 1026

330 1.19 3 5S4 580 1.92 3 1044

340 1.22 ? 612 590 1.94 2 1062

o 3

350 1.25 630 600 1.97 1080

CONVERSION FACTORS

To Convert Tabulated

Value of

To

Having the Dimensions

Indicated Below

Multiply

by

k/k

o k cal cm”1 sec”1 °K“’1

Btu ft"1 hr”1 °R~1

watts cm"1 °K“1

5 . 867 x XCf5

1.419 x IQ"2

2.455 x IQ”4

2
TABLE 9.42 THERMAL CONDUCTIVITY OP MOLECULAR OXYGEN

THE PROPERTY TABULATED

This tattle gives in dimensionless form as a function of temperature

in degrees Kelvin and degrees Runkine, the thermal conductivity, h/k^,

of molecular oxygen. The values were calculated from the equation

C

Q = 0.6726 x 10~5

C = 265.9

c2 = i°

The symbol k is the thermal conductivity in cal cm~“ sec*^ ®C"^ end T is

the temperature in degrees Kelvin. The tabulated quantities have been

me.de dimensionless by dividing by kQ = 5.867 x 10”^ cal cmr^ secr-1

which is the thermal conductivity of oxygen at 0°C and 1 atmosphere.

These values apply at low to moderate pressures.

k =

C T

0

1/2

1 + r

1 10" VT

T

RELIABILITY OP THE TABLE

The experimental data covers the range from 86° to 376 °K. The

accuracy of the table in this range is of the order of 2$. The

accompanying graph shows the deviations of the tabulated values from

experimental data.

INTERPOLATION

Linear interpolation is valid in this table.

CONVERSION PACTORS

The function in this table has been expressed in dimensionless

form. In order that it may be converted readily to any system of units,

conversion factors are listed for the frequently used units. Por

conversion factors not listed here see Table 1.30 of this series.

3
REFERENCES

fll A. Eucken, fiber die T enrp e rat urabhangigke it der Warmele it fahigke it

einiger Gase, Physik. Z. 12, 1101 (1911).

[*2l S. Weber, Untersuchungen uber die Warme1e it fahigke it der Gase,

Ann. Phvsik 54. 437 (1917).

[

3 ]

H. Gregory and S. Marshall, The thermal conductivities of

oxygen and nitrogen, Proc. hoy. Soc. (London) All

. 594

(1928).

[ 4]

B. G. Dickens, The effect of accommodation on heat conduction

through gases, Proc. Boy. Soc. (London) A14j5_ . 517 (1934),

[

5 ]W. G. Kannuluik and L. H. Martin, The thermal conductivity of

some gases at 0°C, Proc. Roy. Soc. (London) A144 . 496 (1934).

[

6 ]

W. Horthdurft, Zur Absolut ernes sung des Warmele itvermogens von

Gasen, Ann. Physik 28, 137 (1937).

[ 7

^] H. L. Johnston and E. R. Grilly, An improved hot-wire cell for

accurate measurements of thermal conductivities of gases over a

wide temperature range, J. Chem. Phys. 14, 219 (1946).

CL

Z)

fr“ CL2

LUO

4
U. S. DEPARTMENT OF COMMERCE NATIONAL BUREAU OF STANDARDS

THE NB3 - NACA TABLES OF THERMAL PROPERTIES OF GASES

Table 9»hk Prandtl Number of Oxygen

by

F. Doiald Queen

June 1953

Table 9*kk Prandtl Number of Oxygen N r

j C /k

2 1

Pr

... 1

P

T N ; N 3 jN_ 3 In i 2 T

Pr Pr

j

l Pr ; t prj

*K #R

100 .815 .873 .931 .903 180

110 .800 .862 .928 .891* 198

120 .791 .855 .925 .889 216

130 .7814 .850 .922 .885 23^

lUO .778 .8U6 .920 .882 252

150 .773 .8U2 .918 .879 270

160 .766 .837 .915 .875 288

170 .761 .83a .913 .872 306

180 .756 .830 .911 .869 32a

190 .751 .826 .909 .867 3a2

200 .7U5 .822 .907 .863 360

210 o7U0 .818 .905 .860 378

220 .736 0815 .903 .858 396

230 .732 .812 .901 .856 aia

2hC .728 .809 .900 .853 a32

250 .72$ .807 .898 .851 a5o

260 .722 .809 .897 .850 a68

270 .718 .802 .895 .8a7 a86

280 .717 .801 .895 .8a7 50a

290 .710 .796 .892 .8a3 522

300 .709 .795 .892 ,8a2 sao

310 .709 .795 .892 .ea2 $58

320 .703 .791 .889 .838 576

330 .702 .790 .889 .838 59a

3li0 .702$ .790 .889 .838 612

350 .702 .790 .889 .838 630

360 .701 .789 .888 .837 6a8

370 .696 .785 .886 .83a 666

380 .696 .785 .886 .83a 68a

390 .696 .785 .886 .83a 702

I4 OO .695 .785 .886 .83a 720

lao .695 .785 .886 .83a 738

I420 .695 .785 .886 .83a 756

1430 .695 .785 .886 .83U 77a

I1I4O .69I4 .78U .885 .833 792

U5o .6914 .78a .885 .833 810

-1 -
Table 9. 1(1* Prandtl Number of Oxygen N

Pr

>] C /k f P : 2 1 1

f v

r 3 r i ?

T N

Pr L

PrJ

N

Pr

* - N T

*K

a R

1*50 •69li .781* .885 .833 810

1*60 .691* .781* .885 .833 828

U70 .695 .785 .886 .831* 81*6 1*80 .697 .786 .887 .835 861*

U90 .697 .786 .887 .835 882

500 .697 .786 .887 .835 900

5io .697 .786 .887 .835 918

520 .697 .786 .887 .83$ 936

530 .700 .788 .888 .837 95U

51*0 .700 .788

0 1/ i .888 .837 972

550 .700 .788 .888 .837 990

560 .701 .789 .888 .837 1008

570 .702 .790 .889 ,838 1026

580 .702 .790 .889 .838 101*1* 590 .701* .791 .890 .839 1062

600 .701* .791 .890 .839 1080

“ 2-
The Property Tabulated

The Prandtl number N • ~n C /k and some of its fractional

Pr 1 p

powers are listed for molecular oxygen at one atmosphere. The table

was computed from values of viscosity, 7j, specific heat, C , and

thermal conductivity, k, given respectively in tables 9.39, 9»2k and

9.1|2 of this series. The ratio

yj C^/k is dimensionless when 7j,C

p

and k are in a consistent set of units. A few frequently used

powers are tabulated for convenience. Other fractional powers may be

obtained from the alignment chart in figure 1.

Reliability of the Table

The uncertainty in this table results from the uncertainty of

thermal conductivity and viscosity, on the basis of which the

Prandtl number may be reliable to about 2 per cent.

-3 -

N

.95

.90

— .85

—.80

— .75

—.70

ir-65

~~so

•37 .55

^r-50

77 .45

-7 7-. 40

77.35

-77-30

77 .25

~T“.20

N

a

-- .995 a

0.1

-- .99

-- .98

Figure I.

.96

.95

.94

.93

.92

.91 .90

0.2

*

.85 0.4

.80

.75 0.5

.70

.65 0.6

.60 t 55

.50 0.7

.45 .40 0.8

35

30

0.9

.25 1.0 .20

7—

i

IP*

Drawn by L.C.^.

4

U. S. DEPARTMENT OF COMMERCE

Charles Sawyer, Secretary NATIONAL BUREAU OF STANDARDS

E. U. Condon, Director

THE NBS-NACA TABLES OF

THERMAL PROPERTIES OF GASES

Table 9.50 Vapor Pressure of Oxygen

December 1949

by Harold J. Hoge

FOREWORD

This is one of a series of tables of Thermal Properties of Gases being compiled at the

National Bureau of Standards at the suggestion and with the cooperation of the National

Advisory Committee for Aeronautics. Recent advances in methods of propulsion and the

high speeds attained thereby have emphasized the importance of accurate data on thermal

properties of wind-tunnel and jet-engine gases. It is the purpose of the project on Thermal

Properties of Gases to make a critical compilation of existing published and unpublished data,

and to present such data in convenient form for application. The loose-leaf form has been

chosen as being most convenient, and revisions are anticipated as new data become available.

This table is also available on IBM punched cards.

The tables should facilitate calculations in aerodynamics, heat-transfer, and jet-engine

problems. Suggestions for the extension or improvement of these tables are desired as well

as information regarding unpublished data. Information and other correspondence regarding

these tables should be addressed to Joseph Hilsenrath, Heat and Power Division, National

Bureau of Standards.
V&P0R PRESSURE 0F ® H 8 E I

SOURCE OF THE DATA Thes® tables are based on a recently completed experimental investigation of the vapor pressure

of liquid oxygen at the National Bureau of Standards. Figure 1 shows the experimental data plotted

as deviations from the tables. A comparison with the results of other observers is given in the complete report [1],

USE OF THE TABLES Table 9.50/1 is to be used when accurate interpolated values are required. This table gives

l°g 10 p at uniform intervals of 1/T, the argument being 2/T at first; then changing to 1/T and finally back to 2/T again to give a progressively closer spacing of entries. The values of T given

in table 9.50/1 are only for convenience in locating the part of the table to be used. Interpolations must be made in terms of 1/T or 2/T (1.8/T or 3.6/T on the Rankine scale) rather than in terms of T for greatest convenience and accuracy. When this is done, linear interpolation will

introduce no significant error below about 130°K ( 1/T°K « 3 . 6/T°R = 0.0142). Above this temperature

slight errors may be introduced , which however do not exceed 4 mm Hg and reach this value only in the immediate neighborhood of the critical point. Table 9.50/2 gives P at temperature intervals

of 5°K(9°R). This table is for reedy reference when values at these particular temperatures are adequate.

RELIABILITY

Bel ow a pressure of about 1.4 m Hg the tables are based on mercury manometry and are accurate

to about ±0 . 2mm Hg. Above about 1.4 m Hg the uncertainty increases to ±1 or 2 mm Hg, and then gradually increases further at higher pressures, reaching a value of perhaps ±10 mm Hg at the critical point. In these estimates no allowance has been mad® for possible disagreement between

the temperature scales used and the thermodynamic scale. The International Temperature Scale was used down to 90 . 19°K and the NBS provisional scale at lower temperatures.

VAPOR PRESSURE OF 'OLID OXYGEN The only data [2] for solid oxygen do not appear to be very reliable, and hence the tabulation has not been extended below the triple point. Since the solid must have a lower vapor pressure than the hypothetical supercooled liquid, extrapolation of table 9.50/1 gives a rough upper

limit for the vapor pressure of the solid. This procedure gives an upper limit of 0.020 mm Hg at

43 . 8°K, which is the temperature of the higher of the two solid-solid transitions of oxygen. At

this temperature Aoyama and Kanda [2] found 0.0111. The true vapor pressure here is almost cer- tainly less than 0.015 mm Hg.

REFERENCES

[1] Harold J. Hoge , Vapor pressure and fixed points of oxygen and heat capacity in the critical

region. J. Research NBS 44(1950) (in press),

[2] Shinichi Aoyama and Eiz© Kanda, The vapor tensions of oxygen and nitrogen in the solid state.

Sci, Repts. Tohoku Imp. Univ. Sendai 24, 107-15 (1935).

TABLE 9.50/2 VAPOR PRESSURE OF OXYGEN (HOT FOR INTERPOLATION)

Remarks

\ P

T

mm Hg atm psia

P //

// T \p

T \

mm Hg atm ps ia P / T

°K °R °K °R Triple pt 54.363 1.14 0.00150 .022 97.853 95 1223.3 1.6096 23.65 171 Boiling pt 90.190 760.0 1 . 14.696 162.342 100 1905.0 2. 5066 36.84 180 Critical pt 154-

0 381-0 9 50.

4 736. 9 278.

0 105 2838.2 3.7345 54.88 189 110 4072.9 5.3591 78.76 198

55 1.38 0.00182 0.027 99 115 5661.6 7.4495 109.48 207

60 5.44 0.00716 0.105 108 120 7658.

10.077 148.09 216

65 17. 4 0.0229 0.34 117 125 10120 13. 316 195.7 225

70 46.8 0. 0616 0.90 12G 130 1310 2 17.239 253. 4 234

75 108.7 0,1430 2.10 135 135 16670 21.934 322.3 243

80 225.3 0.2964 4.36 144 140 20892 27.489 404.0 252

8 5 425.4 0.5597 8. 23 153 145 25843 34.004 499.7 261

90 745.0 0.9803 14.41 162 150 31631 41.620 611.6 270

2
TABLE 9.50/1 VAPOR PRESSURE OF OXYGEN (FOR INTERPOLATION)

2

T T '°9

,o P T

3.6

T

1 T T lofl,o lD T

i.8 T V °K mm Hg ofm psio & °R

0R~

I °K" °K mm Hg otm psia A °R Or-»

0.037 54.054 0.014 7.133* 8300*

197 97.297 0.037 0.0100 100.000 3.27989 0.39908 1.56627 33,, 180.000 0.0100

0.036 55.556 0.211 7.330 8.497 100.000 0.036 0.0099 101.010 3.31630 0.43549 1.60268 TM 181.818 0.0099

0.035 57.143 0.408 7.527 8.694 102.857 0.035 0.0098 102.041 335269 0.47188 1.63907 183.673 0.0098

0.034 58.824 0.605 7.724 8.891 105.882 0.034 0.0097 103.093 3.38905 0.50824 1.67543 ££ 185.567 0.0097

0,033 60.606 0.802 7.921 9.088 TM 109.091 CUD33 0.0096 104.167 3.42539 0.54458 1.71177 3630 187.500 0.0096

0.032 62.500 0.999 8.118 9.285 197 112.500 0.032 0.0095 105.263 3.46169 0.58088 1.74807 3627 189.474 0.0095

0.031 64.516 1.196 8.315 9.482 £

116.129 0.031 0.0094 106383 3.49796 0.61715 1.78434 191.489 0.0094

0.030 66.667 1.392 8.511 9.678 120.000 0.030 0.0093 107.527 3.53419 0.65338 1.82057 If 193.548 0.0093

0.029 68.966 1.587 8.706 9.873 *

124.138 0.029 0.0092 108.696 3.57041 0.68960 1.85679 ]f0 195.652 0.0092

0.028 71.429 1.781 8.900 0.067 128.571 0.028 0.0091 109.890 3.60661 0.72580 1.89299 197.802 0.0091

0.0090 111.111 3.64281 0.76200 1.9 29 1 9 3619 200.000 0.0090

0.0089 112.360 3.67900 0.79819 1.96538

8 202.247 0.0089

i

1 1.8 0.0088 113.636 3.71518 0.83437 2.00156 3

38

J9 204.545 0.0088 T T 0.0087 114.943 3.75137 0.87056 2.03775 206.896 0.0087

1 S 0.0086 116.279 3.78756 0.90675 2.07394 209.302 0.0086 0.0140 71.429 1.7807 8.8999 0.0671 128.571 0.0140

! 0.0139 71.942 1.8192 8.9384 0.1056 * 129.496 0.0139 0.0085 117.647 3.82377 0.94296 2.n 0 1 5 3622 211.765 0.0085 a0138 72.464 1.8576 8.9768 0.1440 \T 130.435 0.0138 0.0084 119.048 3.85999 0.97918 2.14637 214.286 0.0084 a0137 72.993 1.8959 9.0151 0.1823 131.387 0.0137 0.0083 120.482 3.89623 1.01542 2.18261 If 216.867 0.0083 10136 73.529 1.9342 9.0534 0.2206 3“ 132.353 0.0136 0.0082 121.951 3.93249 1.05168 2.21887 219.512 0.0082

0,0081 123.457 3.96880 1.08799 2.25518 If 222.222 0.0081

0.0135 74.074 1.9724 9.0916 0.2588 33, 133.333 0.0135

0.0134 74.627 2.0106 9.1298 0.2970 “

134.328 0.0134 0.0080 125.000 4.00516 1.12435 2.29154 3M0 225.000 0.0080

0.0133 75.188 2.0488 9.1680 0.3352 135.338 0.0133 0.0079 126.582 4.04156 1.16075 2-32794 227.848 0.0079 0.0132 75.758 2.0869 9.2061 0.3733

8 136.364 0.0132 0.0078 128.205 4.07802 1.19721 2.36440 230.769 0.0078 0.0131 76.336 2.1250 9.2442 0.4114 381 137.404 0.0131

0.0130 76.923 2.1631 9.2823 0.4495 138.462 0.0130

0.0129 77.519 2.2012 9.3204 0.4876 139.535 0.0129 0.0128 78.125 2.2392 9.3584 0.5256 ft 140.625 0.0128

0.0127 78.740 2.2772 93964 0.5636

38° 141.732 0.0127 2 3.6

0.0126 79.365 2.3150 9.4342 0.6014 3

'7 142.857 0.0126 T T

0.0125 80.000 2.3527 9.4719 0.6391 377 144.000 0.0125 0.0156 128.2051 4.07802 1.19721 236440 1826 230.769 0.0156

0.0124 80,645 2.3904 9.5096 0.6768 "

145.161 0.0124 0.0155 129.0323 4.09628 1.21547 2.38266 “

232.258 0.0155

0.0123 81.301 2.4280 9.5472 0.7144

76 146.341 0.0123 0.0154 129.8701 4.11454 1.23373 2.40092 “

9 233.766 0.0154 0.0122 81.967 2.4656 9.5848 0.7520 f. 147.541 0.0122 0.0153 130.7190 4.13283 1.25202 2.41921 f3 235.294 0.0153 0.0121 82.645 2.5031 9.6223 0.7895 148.760 0.0121 0.0152 131.5789 4.15115 1.27034 2.43753 t *

236.842 0.0152

0.0120 83.333 2.5406 9.6598 0.8270 150.000 0.0120 0.0151 132.4503 4.16949 1.28868 2.45587 1836 238.410 0.0151

0.0119 84.034 2.5781 9.6973 0.8645 151.260 0.0119 0.0150 133.3333 4.18785 1.30704 2.47423 18f0 240.000 0.0150

0.0118 84.746 2.6156 9.7348 0.9020 152.542 0.0118 0.0149 134.2282 4.20625 132544 2.49263 241.611 0.0149 10117 85.470 2.6530 9.7722 0.9394 153.846 0.0117 0.0148 135.1351 4.22467 1.34386 2.51105 M6 243.243 0.0148 10116 86.207 2.6904 9.8096 0.9768 3„ 155.172 0.0116 0.0147 136.0544 4.24313 1.36232 2.52951 1649 244.898 0.0147

0.0115 86.957 2.7277 9.8469 1.0141 156,522 0.0115 0.0146 136.9863 4.26162 138081 2.54 8 0 0 1853 246.575 0.0146

0,0145 137.9310 4.28015 139934 2.56653 83

248.276 0.0145 0.0144 138.8889 4.29871 1.41790 2.58509 250.000 0.0144

0.0115 86.957 2.72767 9.84686 1.01405 3725 156.522 0.0115 0.0143 139.8601 4.31731 1.43650 2.60369 f

251.748 0.0143

0.0114 87.719 2.76492 9.88411 1.05130 157.895 0.0114 0.0142 140.8451 4.33595 1.45514 2.62233 TM 253.521 0.0142 10113 88.496 2.80210 9.92129 1.08848 , 159.292 0.0113

0.0112 89.286 2.83922 9.95841 1.12560 160.714 0.0112 0.0141 141.8440 4.35464 1.47383 2.64102 18?5 255.319 0.0141

0.0111 90.090 2.87626 9.99545 1.16 264 369? 162.162 0.0111 0.0140 142.8571 437339 1.49258 2,65977 1880 257.143 0.0140

0.0139 143.8849 4.39219 1.51138 2.67857 258.993 0.0139 10110 90.909 2.91323 0.03242 1.19961 , 163.636 0.0110 0.0138 144.9275 4.41105 1.53024 2.69743 “

260.870 0.0138

0.0109 91.743 2.95013 0.06932 1.23651 TM 165.138 0.0109 0.0137 145.9854 4.42998 1.54917 2.71636 1900 262.774 0.0137 10108 92.593 2.98698 0.10617 1.27336 ]f 166.667 0.0108

0.0107 93.458 3.02377 0.14296 131015 7 168.224 0.0107 0.0136 147.0588 4.44898 1.56817 264.706 0.0136 0.0106 94.340 3.06051 0.17970 1.34689 169.811 0.0106 0.0135 148.1481 4.46807 1.58726 2.75445 919 266.667 0.0135 0.0134 149.2537 4.48726 1.60645 2.77364 1930 268.657 0.0134 10105 95.238 3.09720 0.21639 138358 171.428 0.0105 0.0133 150.3759 4.50656 1.62575 2.79294

38 270.677 0.0133

0.0104 96.154 3.13383 0.25302 1.42021 If 173.077 0.0104 0.0132 151.5152 4.52598 1.64517 2.81236 1956 272.727 0.0132 10103 97.087 3.17042 0.28961 1.45680 3” 174.757 0.0103 0.0102 98.039 3.20696 0.32615 1.49334 176.470 0.0102 0.0131 152.6718 4.54554 1.66473 2.83192 J977 274.809 0.0131

! o.oioi 99.010 3.24345 036264 1.52983 If 178.218 0.0101 0.0130 153.8462 4.56531 1.68450 2.85 1 6 9 008 276.923 0.0130

0.0129 155.0388 4.58539 1.70458 2.87177 TM8 279.070 0.0129 10100 100.000 3.27989 0.39908 1.56627 180.000 0.0100 0.0128 156.2500 4.60589 1.72508 2.89227 281.250 0.0128

‘Logarithms have been increased by 10 wherever necessary to avoid negative mantissas.

3
4

135

140 X

°K

145

150

Figure

I.

Deviations

(obs-caic)

of

the

experimental

data

from

table

950/1
u. s. DEPARTMENT OF COMMERCE NATIONAL BUREAU OF STANDARDS

THE NBS - NACA TABLES OF THERMAL PROPERTIES OF GASES

Table 1.30 Conversion Factors

Table 1*30/ a CONVERSION FACTORS FOR UNITS OF LENGTH

*

Multiply by apprcocriate entry

to obtain

1

1 Centimeter (cm)

cm mm r nyu X

1 10 xo

4

107 10

8

1 Millimeter (mm) lO"

1

1 103

106 107

1 Micron (ji) 10”4 10~3

1 10

3

104

1 Millimicron (mu) 10-7 10~6 10”3 1 10

1 Angstrom Unit 00 10-8IQ’7 10"4 10*1

1

Table 1,30/ b CONVERSION FACTORS FOR UNITS OF LENGTH

Multiply. by appropriate entry

to obtain cm m in ft yd

1 cm 1 0,01 0,3937 0,032808333 0,010936111

1 m 100, 1 39,37 3,2808333 1,0936111

1 in 2,5400051 Oo 025400051 1 0,083333333 0,027777778

1 ft 30,480061 0,30480061 12, 1 0.33333333

1 yd 91,440183 0,91440183 36c 3, 1

* The conversion factors in Tables 1 T ?0/ a - 1,30/- k are reproduced from

"Selected Values of Properties of Hydrocarbons", BBS Circular C461,

Novembers, 1947 0

/. _ i
Table 1.30/Ac CONVERSION FACTORS FOR UNITS OF AREA

Multiply by appropriate entry 2

cm sq in/ sq ft sq yd

‘‘V 1 cnr 1 10~4

0.15499969

1. 0763867

xlO“3

1, 1959853

-4

xlO 4

1 m

2 104

1 1549c 9969 10,763867 1,1959853

1 sq in 6,4516258

6,4516258

xlQ“4

1

6,9444444

xlO

-3

7*7160494

xlO"4

1 sq ft 929 o 03412 0,092903412 144 0

\ 1 0.11111111

1 sq yd 8361,3070 0 o 836l3070 1296, 9c 1

4-2
Table 1.30/ d CONVERSION FACTORS FOR UNITS OF VOLUME

Multiply by appropriate entry

• to obtain -p» ml liter gal

*

3 1 cnr 0.9999720 0.9999720 x 10“3 2.6417047 x 10“*-

1 cu in 16.38670 1.638670 x 10"2 4.3290043 x 10"3

1 cu ft 20316.22 - 28. 31622 7.4805195

1 ml 1 0.001 2.641779 x 10“^

1 liter 1000, 1 0.2641779

1 gal 3785.329 3.785329 1

Table 1,30// d CONVERSION FACTORS FOR UMTS OF VOLUME (Continued)

Multiply by appropriate entry

to obtain-——— —

)

cm3 cu in cu ft

1 cnP 1 0.061023378 3.5314455 x 10~3

1 cu in 16.387162 1 5.7870370 x 10_Zj1 cu ft 28317 « 017 1728

e

1

1 ml 1.000028 0.06102509 3c 531544 x 10“3

1 liter 1000,028 61.02509 0.03531544

1 gal

,

3785.4345 231c 0.13368056

l

3
Table 1,30/4© CONVERSION FACTORS FOR UNITS OF MASS

Multiply by appropriate entry

to obtain -ta* 1

1 g

g kg lb metric ton ton

1

”3

10

^ 2,2046223

xlO~

3 10

1,102311

2

xttf

6

1 kg ID

3

1 2, 2046223 io”3 1,1023112

xlO"3

1 lb 453,59243 0,45359243 1

4.5359243

xlO"4

0,0005

1 metric ton 10

6 3 Kr 2204,6223 1 1,1023112

1 ton 907134*86 907. 18486 2000o 0,90718486 1

Table 1.3Q/4f CONVERSION FACTORS FOR UNITS OF DENSITY

Multiply. by appropriate entry

to obtain »» g/cm

3 g/ml lb/cu in lb/cu ft Ib/gal

1 1,000028 0,036127504 62,428327 8.3454535

1 g/ml 0,9999720 1 0,03612649 62,42658 8,345220

1 lb/cu in 27,67974

2

27,68052 1

. .. -

1728,

. ....

231,

1 lb/cu ft 0,016018369 0,01601882

5,7870370

xl0“

4

1 0,13368056

1 Ib/gal 0,11982572 0,1198291

4,3290043

xlO”3

7.4805195 1

i !
Table l c 30/ g CONVERSION FACTORS FOR UNITS OF PRESSURE

1 altiply by appropriate entry

to obtain--— dyne/cm^ bar atm kgCwt )/cn?

l

2

1 dyne/cnr 1 10"6

o9 9869233

xlO~6

1,0197162

xlO"6

1 bar io

6

1 0,9369233 1,0197162

1 atm 1013250, 1,013250 1 1, 0332275

1 kg(-wt)/cm^ 900665® 0,980665 0,9678411 1

1 mm Hg 1333® 2237

I® 333 2237

xlO"3

1.3157895

xlO”3

1®3595098

xlO“3

1 in Hg 33063® 95 Oo 03306395 0,03342112 Oo 03453162

1 lb(wt)/sq in 60947 o31 0- 06094731 0,06804570 0C 07030669
Table 1,30/ g CONVERSION FACTORS FOR UNITS OF PRESSURE (continued)

Multiply by appropriate entry

to obtain —

)

mm Hg in. Hg lb(wt)/sq in

1

1 dyne/cm^

7.500617

xlO“^

2,952993

xlO*”

5

1,4503830

xlO"5

1 bar 750,0617 29 ,52993 14.503830

1 atm 760, 29,92120 14*696006

1 kg(wt )/cm

2

735.5592 28 o 95897 14,223398

1 mm Hg 1 0,03937 0,019336850

1 in Hg 25,40005 1 0,4911570

1 lb(wt)/sq in 51,71473 2,036009 1

6
Table 1,30/ h CONVERSION FACTORS FOR UNITS OF ENERGY

Multiply by—appropriate entry

to obtain- 8** g mass

» (energy equiv)

j

j abs .joule int 0 joule cal

7

1 g mass (energy equiv) 1

8,98656

xlO ^

8.98508

xlO13

2,14784

xlO13

1 abs. joule

1,112772

xlO”3^

1 0,999835 0,239006

1 int, joule

1.112956

xlCf*

1,000165 1 0,239045

1 cal

4.65584

xlO"14

4.1840 40833 1

1 IJ« cal

4.65888

xlO"14 4,18674 4.18605 1.000654

1 BTU

1.174019

xlO"11

1055.040 1054.866 252. 161

1 int, kilowatt -hr

4o 00664

xicr8

3,600,594. 3,600,000, 860,563,

1 horsepower-hr

2,98727

xl0~8 2,684,525. 2,684,082, 641,617.

1 ft-lb(wt)

1,508720

xlO"14

! 1.355821 1.355597 0,324049

1 cu ft - lb(wt)/sq in

2,17256

xlO"12

195.2382 195.2060 46.6630

' ./hr 1 liter-atm t- 1,127548

xlO-12

101,3278 101.3111 24.2179

4: - 7
Table l«30/'; h CONVERSION FACTORS FOR UNITS OF ENERGY (continued)

\

Multiply by appropriate entry int .kilowatt horsepower

to obtain———

I»T« cal BTU “hr -hr

2.14644 80 51775 2.49586 3.34754

1 g mass (energy equiv)

xlO

13 10 7

xlO xlO' xlO'

0, 947831 2.77732 3 <>72505

1 abse, joule 0,238849

xio-7 xlO 3 xlO (

0.947938 2o777778 3.72567

1 into joule 0o 233889 -3

xlO"7 «7

xlO ^ xlO '

3 0 96573 1.162030 1.553562

1 cal 0.999346

xlO”3

^6

xlO xlO 5

3.96832 1,162791 1.559582

1 I,To cal 1 -3

xlO ^ “6

xlO 0 xlO"6

2,93018 3.93008

1 BTU 251.996 1

xlO”4 xlO 4

1 int okilowatt-hr 860, 000

o

3412.76

—1

1 1,341241

1 horsepower-hr 641, 197 o 2 544. 48 0.745578 1

1,285089 3,76555 5.05051

1 ft-lb(wt) 0o 323837

xl0“3 xlO’7

| xlO~

?

5 .42239 7 .27273

1 cu ft - 46o6325 0.1350529 £

lb(wt)/sq in xlO"5 xlO"?

2.83420 3.77452

1 liter-atm 24 . 2021 0.0960417

xlO xlO-5
Table 1.30/ h CONVERSION FACTORS FOR UNITS OF SMGI (continued)

Multiply by appropriate entry

to obtain ft-lb(wt

)

• cu ftlb(wt)/sq in

liter-atm

1 g mass (energy equiv)

6 0 6281i,.

xlO13

4,60287

11 xlO X

8,86880

11

xlO

1 abs, joule 0,737561

5 0 12195

xlO

”3

9,86896

xlO"3

1 int e joule 0C 737682

5c 12279

xlO

"*3

9.87058

xlQ~3

1 cal 3,08595

2,14302

-2

xlO

4© 12917

xlO“2

1 LT, cal 3,08797

2,14443

-2

xlO

4,13187

xlO"

2

I

1 BTU 77S.156 5,40386 10,41215

1 into kilowatt-hr 2,655*656,, 18442 06 35534.1

1 horsepower-hr 1,980,000c 13750. 26493©

5

1 ft-lb(wt) 1

6,94444

xlO”3

1,338054

xlO"2

1 CU ft “ lb(wt^sq in

144© 1 1,926797

1 liter-atm 74 ©73 54 5

0

18996 1

- 9
Table 1,30/ 1 CONVERSION FACTORS FOR UNITS OF MOLECULAR ENERGY

Multiply by appropriate entry

to obtain— erg/molecule abs , joule/mole int . joule/mole

+

1 erg/molecule 1

6,02263

xlO

16

6.02184

, 16

xlO

1 abs 0 joule/mole

1. 660349

xicf

17 1 0,999835

1 int 0 joule/mole

1*660623

xlO~17

1.000165 1

1 cal/mol©

6 c %690

xlO”17 4.18400

... _

4. 1333

1 abs o electron-volt/

molecule

1.601992

xlO”12 96485,3 96469,4

1 int o electron-volt/

molecule

lo 602521

-12

xlO i 96517.1 96501.2

1 wave no c (cm“"L

)

1c 98 5776

x!0“16 11,95999 11.95802

- 10
Table 1,30/ Vi CONVERSION FACTORS FOR UNITS OF MOLECULAR ENERGY (continued)

Multiply1

- by appropriate entry

to obtain $»> cal/mole

abs. electronvolt /molecule

int .electronvolt /molecule

wave no,

(cm”l)

1 erg/molecule

1. 439491

xlO16

6.24222

xlO11

6.24017

xlO11

5.03581

xlO15

1 aba, joule/mole 0.239006

1,036427

xlO-5

1.036086

xlO~5

8.36121

xlO“2

1 int jo ale/mole 0,239046

1.036599

xlO"5

1,036257

xlO“5

8.36259

xlO"2

1 cal/mole 1

4.33641

xlO”5

4.33498

xlO"5

0.349833

1 abs, electron-volt/

molecule 23060.

5

1 0.999670 8067.34

1 int .electron-volt/

molecule 23068,1 1.000330 1 8070.00

1 wave no,(cm“^) 2.85851

1.239567

xlO"4

1,239158

xlO”4

1

'i - 11
Table 1.30/4J CONVERSION FACTORS FOR UNITS OF SPECIFIC ENERGY

Multiply, by appropriate entry

to obtain —— abs, joule/g int, joule/g cal/g I,T 0 cal/g BTU/lb

i

1 abs,joule/g 1 0. 999835 0,239006 0,238849 0,429929

1 int,joule/g la 000165 1 0,239045 0,238889 0,430000

1 cal/g 4,1840 4,1833 1 0,999346 1,798823

1 IoT 0 cal/g 4,18674 4cl8805 1.00C 654 1 1,8

1 BTU/lb 2,32597 2c32558 0,555919 0,555556 1

Table 1,30/ k CONVERSION FACTORS FOR UNITS OF SPECIFIC ENERGY PER DEGREE

Multiply by appropriate entry

to obtain —

abs c joule/

g deg C

into joule/

g deg C

cal/

g deg C

I 0 T, cal/

g deg C

BTU/

lb deg F

1 abs, joule/g deg C 1 0,999835 0,239006 0,238849 0,238849

1 int, joule/g deg C 1 , OOOI65 1 c 239045 0,238889 0,238889

1 cal/g deg C 4,1840 4® 1833 1 0,999346 0,999346

1 I 0 T 0 cal/g deg C 4a 18674 4c 18605 1,000654 1 1

1 BTU/lb deg F 4,18674 4,18605 1,000654 1 1

4 • 12
Table 1*30/# CONVERSION FACTORS FOR UNITS OF VISCOSITY

Multiply b/ appropriate entry

| Centipoise poise

-2 IV • ~2

lb sec in

to obtain— F

s ec cm

i

Centipoise 1

-2

1x10 1.0197x10" 5 1.4504xlO"7

Poise l o xl0

2

1 1.0197xl0"3

~5

1.4504x10

-2

gp sec cm

4

9 . 8067x10 9«8067xl0

2

1 1,422Ax10”

4:

. -2

lb sec m

F

6.8947xl06

6 e 8947xl04 7.0305X10

1

1

lb_ sec ^t

2

F

4,7830x10^ 4,7880xl0

2

4 o 8823xl0"1 6,9445xlO"3

u . -2

lbp hr in 2.4821xl0

10 g

2.4821x10 2.5310xlO5 3 c 6000xl0

3

lb

F

hr ft”

2 1 o 7237x108

6

1.7237x10 1.7577X1031 2.5001X101

g^ r sec

1 cm

2

1x10 1 1.0197xlO"3 1.4504x10" 5

lb., sec"

1 in

1

M

1. 7858x10^ 1„7858x10

2 1.821QX10"

1

2 . 5901x10"3

lb sec”

1 ft"1

M

1.48S2X103 1.4882X101 1.5l75xl0"2 2.1585x10"4

-1 . -1

lb lr m

M

4,9605 4.9605xl0”

2 -5

5,0582x10 7.1947x10”7

lb hr”

1 ft"1

u

4C1338X10-1 4o1333x10~3 4.2152xl0"6 5.9957x10"8

* on A« Hawkins. H. La Solberg, and W. L. Sibbitt. Units and conversion

factors for absolute viscosity,. Power Plant iango ^ov.

J . 3

JL o

\

\
Table 1.30/J CONVERSION FACTORS FOR UNITS OF VISCOSITY (continued)

Multiply by appropriate entry

to obtain——

Ibp sec ft”

2

Ibp hr in“2

lh

F

hr ft”

2 -1 -l

gj^ sec cm

f

Centipoise 2*0886x10"5 4r0289xl0"

n

5o80l6xl0"9 IxlO”2

Poise 2 <> 0886x10"^ 4*0289xl0"9 5o80!6xlQ"7 1

-2

g& sec cm

F

2 r 048

2

3.9510xlO"6

5 6895xl0

-4

9o8067xl02

•=2 Ibp sec in le 4400x10^ 2o7778xl0“4

4,000Cbcl0“2 6«8947xlcA

lb_ sec ft°“2

F

1 lc 929QxlO"62 o 77?8xl0”4

4 » 788Qx10

2

lb_ hr in”2

F

5ol841xl05 1 Io4400xl02 2e4821xl0

8

Ibp hr ft”2

3 o 6001X103 6„9446xl0“3 1

) 6

16 7237x10

sec””'*' cm"1

2o0886xl0“3 4 o 0289xl0“9

5o80l6xl0"7 1

l

"1 . lb r sec in

M

3.7298X10"1 7d948xl0“7 1,036Qx10“4 9

i 1,7858x10*

i

lb sec”1 f

M

3ol083xl0”

2

5o9958xl0"8 8o6339xlO“6 1.4882X10

1

1\ hr"1 in"1 lc 036lxl0"4

1o9985x10"

10

2o8779x10”

8 4.9605x10

-2

1

lbj, hr”1 ft"1 8c6339xlO°“

6

le 6655xl0“U

2o3983x10”9 4c1336x10“3

. . . . i
Table 1,30/4 CONVERSION FACTORS FOR UNITS OF VISCOSITY (continued)

Multiply By Appropriate Entry

To Obtain ,, -1. -1

Ib^sec in lb

M

hr_lft"1 Slug seedin’"1 Slug hr^ft"1

\

Centipoise 5.5998xlo“

5

2^4191

c 1,7405x10” 7.5188x10”

2

Poise

*3

5*5998x30

2

2*4191x10 10 7405x10“^ 7.5188

»2

g sec cm

r 5*4916 2*3723xl05 1C7068X10”

1

7e3733xl03

. -2

lb„ sec m

F

3o8609xl0

2

l e 6679xl07 1.200CX10

1

5.1840xl05

lbTM sec ft

2

2 0 6812 l o 1583xl05 8c3335xl0"

2 3

3.6000x10

lb_ hr in

-2

F

Io3899xl0

6

6 o 0044xl010 4o3199xl04 1.8662xl09

lbTM hr ft"2

* 9 o 6524x10^ 4ol698xl0

8 2

3 o 0000x10 1c2960x10

7

gM

sec"1 cm"1 5.5998xlO~3 2,4191xl0

2

1 . 7405x10"^ 7.5188

lbw sec-"*- in~^ 1

4

4.3200x10

-2

3.1081x10 1C3427X103

lb., sec"1 ft"1 ~2

8 o 3333x10 3o6000x103 2„5902xlO"3 1.1189xl0

2

lbM

hr_1 in_1 2.7778x10"^ 1c 2000x10^ 8.6337xl0”

6

3.7297X10"

1

1

—

1

1

«H

i 11— U

S3 $

-5

2c 3148x10 1 7c1946x10~

7

3 « lOSlxlo”

2

TEMPERATURE

INT

E

RC

ON

VER

SION

TABLE

~ w w r-’ 05 o' d ^ to © oU 0.

56 1.

11

1.

67

2.

22

2.

78

3.

33

3.

89

4.44 5.

00 5.56 6.11

6.

67 7.

22

7.78 8.

33

8.

89

9.44 10.

00

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;

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* mmmmmmmmimtmmUiUiimi

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u

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(Continued)
THE NATIONAL BUREAU OF STANDARDS

Functions and Activities

The functions of the National Bureau of Standards are set forth in the x\ct of Congress, March

3, 1901, as amended by Congress in Public Law 619, 1950. These include the development and

maintenance of the national standards of measurement and the provision of means and methods

for making measurements consistent with these standards; the determination of physical constants and properties of materials; the development of methods and instruments for testing materials,

devices, and structures; advisory services to Government Agencies on scientific and technical

problems; invention and development of devices to serve special needs of the Government; and the

development of standard practices, codes, and specifications. The work includes basic and applied

research, development, engineering, instrumentation, testing, evaluation, calibration services, and

"various consultation and information services. A major portion of the Bureau’s work is performed

for other Government Agencies, particularly the Department of Defense and the Atomic Energy

Commission. The scope of activities is suggested by the listing of divisions and sections on the

inside of the front cover.

Reports and Publications

The results of the Bureau's work take the form of either actual equipment and devices or published papers and reports. Reports are issued to the sponsoring agency of a particular project

or program. Published papers appear either in the Bureau’s own series of publications or in the

journals of professional and scientific societies. The Bureau itself publishes three monthly periodicals, available from the Government Printing Office: The Journal of Research, which presents

complete papers reporting technical investigations; the Technical News Bulletin, which presents

summary and preliminary reports on work in progress; and Basic Radio Propagation Predictions,

which provides data for determining the best frequencies to use for radio communications throughout

the world. There are also five series of nonperiodical publications: The Applied Mathematics

Series, Circulars, Handbooks, Building Materials and Structures Reports, and Miscellaneous

Publications.

Information on the Bureau’s publications can be found in NBS Circular 460, Publications of

the National Bureau of Standards ($1.00). Information on calibration services and fees can be

found in NBS Circular 483, Testing by the National Bureau of Standards (25 cents). Both are

available from the Government Printing Office. Inquiries regarding the Bureau’s reports and

publications should be addressed to the Office of Scientific Publications, National Bureau of Standards, Washington 25, D. C.
NBS