At Low Temperatures, the Heat Capacity of Some Metals Has

Multiple Choice

At low temperatures, the heat capacity of some metals has been found to follow a modified version of the Debye T³ law, varying with temperature according to the relationship
C_p.m=aT³+bT
With the additional, linear term arising from the electrons. Derive an expression for the molar entropy of such a metal at a low temperature T.

A) S(T) =⅓aT²
B) S(T) =aT²+bT
C) S(T) =⅓aT²+bT
D) bT