Fundamental questions about entropy I. Definitions: Clausius or Boltzmann?

The expression of Boltzmann S = k In W differs in principle from the entropy as defined by Clausius because it is not strictly extensive

P. L. Huyskens; G. G. Siegel

2010

Key concepts

Scholarcy highlights

  • The expression of Boltzmann S = k In W differs in principle from the entropy as defined by Clausius because it is not strictly extensive
  • It becomes strictly extensive when the number W of all possible molecular arrangements is replaced by a normalized value - oneA>N A oneB>N B… where 1) the standardized probability oneA> that characterizes one particle A is the same for all the NA particles; 2) the possibilities for the particles of a given kind are considered separately from the possibilities of the particles of another kind
  • Examples are given for the entropy of mixing of mixed crystals and the entropy of expansion of real gases

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