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We present an equilibrium thermodynamic properties of binary hard-spheremixtures from integral equation approach combined with the Percus-Yevick (PY)and the Martynov-Sarkisov (MS) approximations.  We use the virial, the compressibility and theBoubl\'{i}k-Mansoori-Carnahan-Starling-Leland (BMCSL) equations of state in thePY approximation, while the virial equation of state is only employed in the MSapproximation. We employ a closed-form expression for evaluating the excesschemical potential. The excess Helmholtz free energy is obtained using theEuler relation of thermodynamics. For a number of binary sets of the mixtureswe compare our findings for thermodynamic properties with previously obtainedresults in the literature. Generally, the findings from the MS approximationshow better agreement with the results than those from the PY approximation.

Equilibrium thermodynamic properties of binary hard-sphere mixtures from integral equation theory