About the physical validity of attaching the repulsive terms of analytical EOS models by temperature dependencies

Vladimir Kalikhman, Daniel Kost, Ilya Polishuk

Research output: Contribution to journalArticlepeer-review

35 Scopus citations

Abstract

This study demonstrates that any temperature dependency introduced in the term describing the inter-molecular repulsive forces of analytical EOS models leads to prediction of the infinite value for the isochoric heat capacity at the density limit conditions. The temperature-dependent hard sphere diameters and co-volumes necessarily result in the non-physical negative infinite values of this property at the infinite pressure, which in turn leads to the non-physical predictions of other properties, such as the sound velocities. In addition, this study demonstrates that the inconsistency existing at the imaginary state of infinite pressure may have a very strong negative impact on predicting the data of real fluids at the experimentally available pressures. Therefore making the repulsion compressibility factor temperature-dependent seems highly non-recommended.

Original languageEnglish
Pages (from-to)164-167
Number of pages4
JournalFluid Phase Equilibria
Volume293
Issue number2
DOIs
StatePublished - 25 Jun 2010

Keywords

  • Effective hard sphere diameter
  • Equation of state
  • Isochoric heat capacity
  • Thermodynamic consistency

ASJC Scopus subject areas

  • Chemical Engineering (all)
  • Physics and Astronomy (all)
  • Physical and Theoretical Chemistry

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