All Problems

Second law of thermodynamics, entropy

Problem 2.144

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

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