Mixing of real and quantum gases

Abstract

Through the consistent application of quantum statistical thermodynamics, functions of isothermal mixing of real rarefied gases and quantum gases in states of varying degrees of degeneracy are obtained. The reasons for the emergence and resolution of the “Gibbs paradox” and other “paradoxes” are analyzed. Numerical calculations of entropy and pressure jumps were performed using the example of a pair of Bose gases (neon and argon) and a pair of Fermi gases (electron and muon). The derived thermodynamic relationships make it possible to determine other effects under mixing conditions other than isothermal – changes in entropy, temperature, pressure, energy, and thermal effect.