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Second law of thermodynamics, entropy

Problem 2.144

In some process the tem perature of a substance depends on its entropy SS as T=aSn,T=a S^{n}, where aa and nn are constants. Find the corresponding heat capacity CC of the substance as a function of SS. At what condition is C<0?C<0 ?

Reveal Answer
C=S/n;C<0 for n<0C=S/n ; \quad C<0 \text { for } n<0
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