THE ANALYSIS OF INDEFINITE FORMS GENERATED BY THE CRITICAL CONDITIONS FOR THE PURE SUBSTANCE

Authors

  • А. В. Троценко Odessa National Academy of Food Technologies, Institute of refrigeration, cryotechnology and ecoenergetics named after V. S. Martynovsky, Dvoryanskaya str., 1/3, Odessa, Ukraine, 65082, Ukraine https://orcid.org/0000-0003-1408-1764

DOI:

https://doi.org/10.18198/j.ind.gases.2014.0740

Keywords:

Pure substance, Equation of state, Critical point, Indefinite form

Abstract

The classification of indefinite forms consisting of the sets of critical conditions and the functions inverse to them has been suggested. The features of the inverse functions of the first critical conditions have been considered. All the possible indefinite forms for an unified thermal equation of state have been disclosed. The features of the behavior of indefinitenesses which have discontinuities at the critical point are illustrated by calculations based on the van der Waals equation. 

Author Biography

А. В. Троценко, Odessa National Academy of Food Technologies, Institute of refrigeration, cryotechnology and ecoenergetics named after V. S. Martynovsky, Dvoryanskaya str., 1/3, Odessa, Ukraine, 65082

A. V. Trotsenko, Doctor of Technical  Sciences 

References

Syichev V.V. (1991). Differential equations of thermodynamics. — M.: Higher School. — 224 p. (Rus.).

Trotsenko A.V. (2002). Evaluation and analysis of indeterminate forms at the critical point of a pure substance// Russian Journal of Physical Chemistry. A. — V. 76. — № 5. — P. 702-706.

Trotsenko A.V. (2008). Thermodynamic equations for the isobaric and isochoric heat capacities of pure substances at the critical point// Russian Journal of Physical Chemistry. A. — V. 82. — № 6. — P. 938-931.

Trotsenko A.V. (2013). Correlation between the derivatives of thermodynamic functions at the critical point of a pure substance// High Temperature. — V. 51. —№ 1. — P. 128-130.

Trotsenko A.V. (2010). Calculations of the second derivatives of the thermodynamic functions of the critical point ac-cording to the van der Waals equation// Russian Journal of Physical Chemistry. A. — V. 84. — № 5. — P. 843-846.

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Issue

No. 4 (2014): Технические газы

Section

THERMOPHYSICAL PROPERTIES OF GASES AND THEIR MIXTURES. THERMODYNAMIC ANALYSIS OF PROCESSES IN LOW-TEMPERATURE SYSTEMS

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