About the physical validity of attaching the repulsive terms of analytical EOS models by temperature dependencies

Abstract

This study demonstrates that any temperature dependency introduced in the term describing the inter-molecular repulsive forces of analytical EOS models leads to prediction of the infinite value for the isochoric heat capacity at the density limit conditions. The temperature-dependent hard sphere diameters and co-volumes necessarily result in the non-physical negative infinite values of this property at the infinite pressure, which in turn leads to the non-physical predictions of other properties, such as the sound velocities. In addition, this study demonstrates that the inconsistency existing at the imaginary state of infinite pressure may have a very strong negative impact on predicting the data of real fluids at the experimentally available pressures. Therefore making the repulsion compressibility factor temperature-dependent seems highly non-recommended.