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Can cubic equations of state be recast in the virial form?

Abstract : n this paper, we propose a mathematical study of the virial expansion of cubic equations of state. We attempt to provide an answer to the following questions: - Is the virial equation only appropriate for the description of gases at low to moderate densities? - What is the impact of the order of truncation on the representation of P ― ν isotherms? - What is the difference between a truncation at an even order and a truncation at an odd order? - What is the theoretical volume range of validity of a virial expansion? To illustrate and apply these concepts, we considered four classical cubic equations of state, namely: Van der Waals, Redlich―Kwong―Soave, Peng-Robinson and Schmidt-Wenzel. For all of these equations, we detail the limitations and the capabilities of the virial expansions. Finally, we propose a new general relation between the coefficients of the virial equation in pressure and those of the virial equation in density.
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https://hal.archives-ouvertes.fr/hal-00488465
Contributor : Josiane Moras <>
Submitted on : Wednesday, June 2, 2010 - 9:30:01 AM
Last modification on : Thursday, May 3, 2018 - 3:32:06 PM

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R. Privat, Y. Privat, J.-N. Jaubert. Can cubic equations of state be recast in the virial form?. Fluid Phase Equilibria, Elsevier, 2009, 282 (1), pp.38-50. ⟨10.1016/j.fluid.2009.04.011⟩. ⟨hal-00488465⟩

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