Collect. Czech. Chem. Commun. 2010, 75, 359-369
Published online 2010-03-25 09:20:57

Critical consolute point in hard-sphere binary mixtures: Effect of the value of the eighth and higher virial coefficients on its location

Mariano López De Haroa, Anatol Malijevskýb,* and Stanislav Labíkb

a Departamento de Física, Universidad de Extremadura, E-06071 Badajoz, Spain
b Department of Physical Chemistry, Institute of Chemical Technology, Prague and Center for Biomolecules and Complex Molecular Systems, Technická 5, 166 28 Prague 6, Czech Republic


Various truncations for the virial series of a binary fluid mixture of additive hard spheres are used to analyze the location of the critical consolute point of this system for different size asymmetries. The effect of uncertainties in the values of the eighth virial coefficients on the resulting critical constants is assessed. It is also shown that a replacement of the exact virial coefficients in lieu of the corresponding coefficients in the virial expansion of the analytical Boublík–Mansoori–Carnahan–Starling–Leland equation of state, which still leads to an analytical equation of state, may lead to a critical consolute point in the system.

Keywords: Hard-sphere binary mixture; High virial coefficients; Fluid–fluid phase equilibrium; Thermodynamics; Equation of state.

References: 22 live references.