The probability methods for the description of an equilibrium thermodynamic state of the binary interacting mixtures

Abstract

By the quasi-static approach according to equality of chemical potentials increments for the
components of a mixture of dry air and water vapor 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 vapor-air
mixture have been written.