Thermodynamic properties of a hard sphere fluid with temperature dependent effective hard sphere diameter

Abstract

The residual thermodynamic quantities for a rigid sphere fluid with temperature dependent hard sphere diameter have been calculated with an analytical equation of state (Carnahan-Starling). The incorporation of the coefficient of thermal expansion of the effective hard sphere diameter, l=(dσ/dT)σ−1, results in the appearance of internal energy U* and heat capacity CV*. These and other quantities are reported for a wide range of fluid density. By using parameters pertaining to liquid argon, CV* was calculated for the corresponding hard sphere fluid over a large temperature interval (Tt<T<0.9Tc) and then compared to experimental data of argon. The agreement is regarded as being satisfactory.