Calculation of real gas pressures using modified functions of probability distributions

TL;DR

This paper introduces a modified probability distribution approach to improve the calculation of real gas pressures and thermodynamic properties, effectively addressing numerical challenges in complex state variable computations.

Contribution

It presents a novel method using modified probability functions to enhance the calculation of real gas equations of state and phase properties.

Findings

More accurate real gas pressure calculations

Efficient computation of grand canonical partition function

Successful modeling of phase equilibrium and vaporization

Abstract

We have improved the procedure for calculating distribution functions and the thermal equation of state for real gases by introducing modified functions of probability distributions into the gas phase state sum. Calculation of real gas pressure and the grand canonical partition function using the improved procedure demonstrate that numerical difficulties arising from a large number of state variables can be circumvented. We have also calculated real gas isotherms and probability of vaporization in phase equilibrium.