Vibrational Energy of Real Gas Molecules Impact on Calorimetric and Thermoelastic Coefficients

Abstract

The aim of this work is to study the effect of gaseous imperfections of real gases on both calorimetric and thermo-elastic coefficients of gases. When we find that most of studies avoid going into this subject for the difficulty and complexity of its theory, especially on real gases, the latter is distinguished from the previous perfect gases due to the intermolecular interactions and presented by Berthelot state equation, which is more accurate than other equations of state. Here, A high accuracy framework for predicting the calorimetric and thermoelastic properties of gases is introduced, after the development of new relationships based on the theory of real gases, a new general concept valid in any circumstance or condition, particularly at high pressure- temperature. Therefore, the effects of real gases leads to deviate from the behavior of perfect gases and, therefore, the coefficients based on this theory are different from those of perfect gases. Finally, an error given by the PG compared to the RG models for each coefficient is presented. The comparison is made for the purpose of determining an application limit of the PG model. The obtained results are very satisfactory and encouraging to deepen the advanced thermodynamics at high pressure.