The Gibbs paradox is a problem in the foundations of thermodynamics and statistical thermodynamics which occurs when one needs to evaluate how ‘alike’ two substances are influences thermodynamics properties of the said substances, for example upon mixing. It is traditionally sold as a tale about the inability of classical statistical mechanics, as initially developed by Josiah Willard Gibbs in 1902, to obtain a zero mixing entropy change upon mixing equal amounts of two identical substances. In this recently published article in Entropy, I provide partial literature evidence to illustrate that this view is misleading and that Gibbs’s statistical mechanics can deal with the mixing entropy of identical substances just fine. However, I take issue with an actual puzzle pointed out by Gibbs himself in his 1876 work on the thermodynamics of heterogeneous substances and further highlighted by Pierre Duhem subsequently; namely the fact that the entropy of mixing per…
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