Mathematical model of an ideal gas

The peculiarity of this article is that the model of an ideal gas is based on the principle of one molecule, one mole, unit volume and the entire gas, that is, it is proposed to determine such quantities as mass, number of molecules, energy and average velocity that characterize the gas, relative to such a sequence. The method of averaging and doubling was used as a mathematical apparatus. While the volume of gas is taken as the total number of unit volumes, the pressure of the gas is considered as the energy accumulated in unit volumes. The value “number of moles per unit volume” has been introduced, which determines the concentration of molecules and the total number of moles. The relations between the state parameters are realized on the basis of Kelvin and Joule energy measurements. The ways of determining the energy of an ideal gas according to the positions of B. Clapeyron and D. Mendeleev are shown, the role of the equation of state is determined. At the same time, a theoretical justification for changing the state of the gas using dynamic and thermal effects (approaches) was developed. The patterns of generalized changes in the gas state and the ideological significance of isoprocesses were discussed in detail. Mathematical proofs of the idea of applying the first principle of thermodynamics to an ideal gas are presented.