The logical foundations of Gibbs' paradox in classical thermodynamics

Abstract

The analysis of the arguments within the limits of the classical thermodynamics that lead to the Gibbs paradox was made. Features of preconditions used in the derivation of the entropy of mixing of ideal gases that caused the appearance of paradox were established. It was shown that the Gibbs paradox has not connection with the assumption of discrete differences between the parameters of different gases.

arXiv comment18 pages. Fragments of the monograph V.Ihnatovych. Gibbs' paradox from the point of view of the mathematician. Kyiv. Publishing Group "ATOPOL", 2010. [Russian]