This article presents a procedure for formulation for the thermodynamic properties of pure substances using two primary sets of data, namely, the pvT data and the specific heat data, such as the constant-pressure specific heat cp as a function of pressure and temperature. The method makes use of a linkage, on the basis of the laws of thermodynamics, between the virial coefficients for the pvT data correlation and those for the corresponding specific heat data correlation for the substance. The resulting equations of state take on remarkably simple analytic forms that give accurate predictions over the range of input data employed.

Keywords:
specific heat, free energy, equations of state
Topics:
Enthalpy, Entropy, Equations of state, Gibbs' free energy, Pressure, Specific heat, Temperature
1.
Smith, J. M., and Van Ness, H. C., 1987, Introduction to Chemical Engineering Thermodynamics, Fourth Edition, McGraw-Hill, New York.
2.
Adebiyi, G. A., and Russell, L. D., 1992, “Computer Codes for the Thermodynamic Properties of Common Substances Encountered in Engineering Applications,” ASME Conference Proceedings, HTD-Vol. 225, pp. 1–7.
3.
Haar, L., Gallagher, J. S., and Kell, G. S., 1984, NBS/NRC STEAM TABLES: Thermodynamic and Transport Properties and Computer Programs for Vapor and Liquid States of Water in SI Units, Hemisphere, Washington, D.C.
4.
Lemmon, E. W., Jacobsen, R. T., Penoncello, S. G., and Beyerlein, S. W., 1992, “Software for the Calculation of Thermodynamic Properties of Several Fluids of Engineering Interest,” ASME Conference Proceedings, HTD-Vol. 225, pp. 19–24.
5.
Jacobson, R. T., Penoncello, S. G., and Lemmon, E. W., 1997, Thermodynamic Properties of Cryogenic Fluids, Plenum Press, New York.
6.
Pitzer
,
K. S.
,
1955
, “
The Volumetric and Thermodynamic Properties of Fluids, I. Theoretical Basis and Virial Coefficients
,”
J. Am. Chem. Soc.
,
77
(
13
), pp.
3427
–
3433
.
7.
Pitzer
,
K. S.
,
Lippman
,
D. Z.
,
Curl
,
R. F.
,
Huggins
,
C. M.
, and
Petersen
,
D. E.
,
1955
, “
The Volumetric and Thermodynamic Properties of Fluids, II. Compressibility Factor, Vapor Pressure and Entropy of Vaporization
,”
J. Am. Chem. Soc.
77
(
13
), pp.
3433
–
3440
.
8.
Reid, R. C., Prausnitz, J. M., and Poling, B. E., 1987, The Properties of Gases and Liquids, Fourth Edition, McGraw-Hill, New York.
9.
Tsonopoulos
,
C.
,
1974
, “
An Empirical Correlation of Second Virial Coefficients
,”
AIChE J.
,
20
(
2
), pp.
263
–
272
.
10.
Vargaftik, N. B., 1975, Tables on the Thermophysical Properties of Liquids and Gases, Second Edition, Hemisphere, Washington, D.C.
Copyright © 2005
 by ASME
You do not currently have access to this content.