where c is some constant. The value of c can be determined by considering the limit T → 0. In this limit the entropy becomes S = k log ⁡ ⁡ Ω Ω 0 , where Ω Ω 0 is the ground-state degeneracy. The partition function in this limit is Ω Ω 0 e − − β β U 0 , where U 0 is the ground-state energy. Thus, we see that c = 0 and that