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Second law of thermodynamics, entropy

Problem 2.145

Find the temperature TT as a function of the entropy SS of a substance for a polytropic process in which the heat capacity of the substance equals CC. The entropy of the substance is known to be equal to S0S_{0} at the temperature T0T_{0}. Draw the approximate plots T(S)T(S) for C>0C>0 and C<0C<0

Reveal Answer
T=T0e(S−S0)/C . See Fig. 15.T=T_{0} \mathrm{e}^{\left(S-S_{0}\right) / C} \text { . See Fig. } 15 .
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