We present an equilibrium thermodynamic properties of binary hard-sphere
mixtures from integral equation approach combined with the Percus-Yevick (PY)
and the Martynov-Sarkisov (MS) approximations.
We use the virial, the compressibility and the
Boubl\'{i}k-Mansoori-Carnahan-Starling-Leland (BMCSL) equations of state in the
PY approximation, while the virial equation of state is only employed in the MS
approximation. We employ a closed-form expression for evaluating the excess
chemical potential. The excess Helmholtz free energy is obtained using the
Euler relation of thermodynamics. For a number of binary sets of the mixtures
we compare our findings for thermodynamic properties with previously obtained
results in the literature. Generally, the findings from the MS approximation
show better agreement with the results than those from the PY approximation.Comment: 10 pages, 6 figure