How do I show that the entropy of a system obeying the Fermi-Dirac distribution goes to zero as the temperature goes to zero?

Question

anonymous · Answer

Solved it. :)

anonymous · Answer

can i have the answer please?

anonymous · Answer

I asked a lecturer and i was wrong =[

anonymous · Answer

so, stil v have to wait for an ansr!

anonymous · Answer

I don't think it is.  If the ground state is degenerate, then the entropy will be nonzero even at T = 0.  Consider, for example, a single Li atom at T=0.  You still have the spin degeneracy of the unpaired electron (ignoring hyperfine interactions).

I guess you're OK if you specify a nondegenerate ground state, but then saying the entropy is zero when a system is in its nondegenerate ground state is more of an identity -- you're saying the same thing -- than something that can be proved.