THE DIFFERENTIAL EQUATIONS OF THERMODYNAMICS FOR SECOND ORDER DERIVATIVES

Authors

  • А. В. Троценко Одесская национальная академия пищевых технологий, Учебно-научный институт холода, криотехнологий и экоэнергетики им. В.С. Мартыновского, ул. Дворянская, 1/3, г. Одесса, Украина, 65082, Ukraine https://orcid.org/0000-0003-1408-1764

DOI:

https://doi.org/10.18198/j.ind.gases.2016.0810

Keywords:

Thermodynamics, Pure substance, Maxwell’s differential equation, Equation of state, Critical point

Abstract

On the basis of Maxwell’s thermodynamic differential equations, a sequence of relations for the second order derivatives has been derived. They are valid both for any single equations of state, and for any pure substances. Based on the identified dependencies, the values of some mixed derivatives as well as the ratio of two mixed derivatives at a critical point of a pure substance have been determined for the first time.

Author Biography

А. В. Троценко, Одесская национальная академия пищевых технологий, Учебно-научный институт холода, криотехнологий и экоэнергетики им. В.С. Мартыновского, ул. Дворянская, 1/3, г. Одесса, Украина, 65082

A. V. Trotsenko

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Issue

Vol. 16 No. 1 (2016): Технические газы

Section

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

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