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Gibbs’ Paradox and the Definition of Entropy
Physics Department, Carnegie Mellon University, Pittsburgh, PA 15213, USA
Received: 10 December 2007 / Accepted: 14 March 2008 / Published: 20 March 2008
Abstract: Gibbs’ Paradox is shown to arise from an incorrect traditional definition of the entropy that has unfortunately become entrenched in physics textbooks. Among its flaws, the traditional definition predicts a violation of the second law of thermodynamics when applied to colloids. By adopting Boltzmann’s definition of the entropy, the violation of the second law is eliminated, the properties of colloids are correctly predicted, and Gibbs’ Paradox vanishes.
Keywords: Gibbs’ Paradox; entropy; extensivity; Boltzmann.
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Cite This Article
MDPI and ACS Style
Swendsen, R.H. Gibbs’ Paradox and the Definition of Entropy. Entropy 2008, 10, 15-18.
Swendsen RH. Gibbs’ Paradox and the Definition of Entropy. Entropy. 2008; 10(1):15-18.
Swendsen, Robert H. 2008. "Gibbs’ Paradox and the Definition of Entropy." Entropy 10, no. 1: 15-18.