Main Physical Aspects of the Mathematical Conception of Energy in Thermodynamics

TL;DR

This paper introduces a new mathematical model in thermodynamics that derives equations of state for classical gases, providing a novel approach to understanding physical phenomena and comparing with established models like Van-der-Waals.

Contribution

The paper presents a new mathematical framework for thermodynamics that yields equations of state for classical gases using minimal input parameters.

Findings

The model produces isotherms comparable to Van-der-Waals results.

It links physical notions with mathematical formulations in thermodynamics.

The approach broadens understanding of gas behavior in thermodynamic systems.

Abstract

We consider the main physical notions and phenomena described by the author in his mathematical theory of thermodynamics. The new mathematical model yields the equation of state for a wide class of classical gases consisting of non-polar molecules provided that the spinodal, the critical isochore and the second virial coefficient are given. As an example, the spinodal, the critical isochore and the second virial coefficient are taken from the Van-der-Waals model. For this specific example, the isotherms constructed on the basis of the author's model are compared to the Van-der-Waals isotherms, obtained from completely different considerations.