Collect. Czech. Chem. Commun. 2000, 65, 1464-1470

The Bender Equation of State and Virial Coefficients

Anatol Malijevský* and Tomáš Hujo

Department of Physical Chemistry, Prague Institute of Chemical Technology, 166 28 Prague 6, Czech Republic


The second and third virial coefficients calculated from the Bender equation of state (BEOS) are tested against experimental virial coefficient data. It is shown that the temperature dependences of the second and third virial coefficients as predicted by the BEOS are sufficiently accurate. We conclude that experimental second virial coefficients should be used to determine independently five of twenty constants of the Bender equation. This would improve the performance of the equation in a region of low-density gas, and also suppress correlations among the BEOS constants, which is even more important. The third virial coefficients cannot be used for the same purpose because of large uncertainties in their experimental values.

Keywords: Equations of state; Bender equation; Second virial coefficient; Third virial coefficient; Thermodynamics.

References: 10 live references.