Article ID Journal Published Year Pages File Type
203629 Fluid Phase Equilibria 2009 13 Pages PDF
Abstract

In 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−vP−v 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.

Related Topics
Physical Sciences and Engineering Chemical Engineering Chemical Engineering (General)
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