Applicability of Pseudo-Cubic Perturbed, Hard Sphere Equation of State for Saturated Properties

Abstract

A pseudo-cubic perturbed, hard sphere equation of state is proposed combining the empirical cubic form for apparent volume and hard sphere expression of Scott for repulsion pressure. The present equation of state is successfully applied to the saturated properties of pure substances including cryogenic fluids. Given temperature and pressure, the proposed equation of state has at most three real roots for the volume, similar to the conventional cubic equations of state. All parameters in the present equation of state can be evaluated from the critical constants, reduced temperature, acentric factor, and normal boiling point. The proposed equation of state satisfies the critical point requirements.