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

2010

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

2010

- 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