On the incorrectness of the proof of the Gibbs theorem on the entropy of a mixture of ideal gases, which was given by J. W. Gibbs

V. Ihnatovych

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arXiv · 1804.08721

On the incorrectness of the proof of the Gibbs theorem on the entropy of a mixture of ideal gases, which was given by J. W. Gibbs

V. Ihnatovych

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Abstract

There is the Gibbs theorem in thermodynamics, according to which the entropy of the mixture of ideal gases is equal to the sum of the entropies of the components of the mixture. J. W. Gibbs proved this by a mathematical derivation from the beginnings of thermodynamics and the laws of ideal gases, in particular Dalton's law. This message shows that this proof is mathematically incorrect. It is also shown that the Gibbs theorem cannot be derived mathematically from Dalton's law.

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V. Ihnatovych. 2018-04-20. On the incorrectness of the proof of the Gibbs theorem on the entropy of a mixture of ideal gases, which was given by J. W. Gibbs. https://arxiv.org/abs/1804.08721

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