Journal of Theoretical, Experimental, and Applied Physics
The Probability Methods for the Description of an Equilibrium Thermodynamic State of the Binary Interacting Mixtures
Abstract
Taras Volodymyrovych Holubets
By the quasi-static approach according to equality of chemical potentials increments for the components of a mixture of dry air and water vapour in accordance with conditions of phase equilibrium the dimensionless one-particle specific entropy of steam mixture has been defined. The single-particle density distribution functions for the components of a mixture with influence of the temperature effect have been determined. The expressions for the probability of observing the molar fraction of components of the mixture has been written, from which the probability density function of investigated quantity has been obtained in the case of not interacting and interacting mixture components. The interaction between the different kinds of the mixture particles has been described by probabilistic methods using two- particle distribution functions. The main methods of construction and calculation of symmetrized or equilibrium two particle distribution functions have been considered. According to the principle of informational entropy maximum and mathematical methods of functional integration, the expressions to determine of the statistical partition function and the equilibrium entropy for an interacting binary non-ideal vapour-air mixture have been written.
