  The scaled particle theory is developed for the description of
thermodynamical properties of a mixture of hard spheres and hard
spherocylinders. Analytical expressions for free energy, pressure and chemical
potentials are derived. From the minimization of free energy, a nonlinear
integral equation for the orientational singlet distribution function is
formulated. An isotropic-nematic phase transition in this mixture is
investigated from the bifurcation analysis of this equation. It is shown that
with an increase of concentration of hard spheres, the total packing fraction
of a mixture on phase boundaries slightly increases. The obtained results are
compared with computer simulations data.
