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According to the Debye equation the heat
the capacity of a solid is proportional to the temperature
cubed at low temperatures, Cp(T) = σT3, where σ
is a constant. Show that the entropy at a temperature
T0 is given by S(T0) = Cp(T0)/3 when the Debye
equation holds.

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According to the Debye equation the heat the capacity of a solid is proportional to the temperature cubed at low temperatures, Cp(T) = σT3, where σ is a constant. Show that the entropy at a temperature T0 is given by S(T0) = Cp(T0)/3 when the Debye equation holds.