The Ornstein-Zernike integral equation method has been employed for a
single-component hard sphere fluid in terms of the Percus-Yevick (PY) and
Martynov-Sarkisov (MS) approximations. Virial equation of state has been
computed in both approximations. An excess chemical potential has been
calculated with an analytical expression based on correlation functions, and
the entropy has been computed with a thermodynamic relation. Calculations have
been carried out for a reduced densities of 0.1 to 0.9. It has been shown that
the MS approximation gives better values than those from the PY approximation,
especially for high densities and presents a reasonable comparison with
available data in the literature.Comment: 7 page