Entropy of 1D oscillators

[mprovod]

An array of N 1D simple harmonic oscillators is set up with an average energy per oscillator of (m + 1)hf Show that the entropy per oscillator is given by

S/N = k[(1+m)ln(1+m) - (m)ln(m)]

 

Comment on the value of the entropy when m = 0

[Klaynos]

What do you know about entropy?

[mprovod]

I know that entropy (S) S = kln(Z) + kTd(ln(Z))/dT Here, Z is the partition function and k is Boltzmann constant.