# Path Independence of Entropy Change

sigmaro
Is there any way to prove that entropy change is independent from the path?

dS=dQ/T
dQ=dE+PdV
d(PV)=PdV+VdP
dS=nCd[ln(T)]+nR[ln(T)]-VdP/T
i go this far, but it is not very different from dS=nCd[ln(T)]+PdV/T