Write the Sackur-Tetrode expression for the entropy of a monatomic ideal gas as a function of pressure, temperature, and number, S(N,T,P).
S = Nk[ln(V/N(4πmU/3Nh2)3/2) + 5/2]
PV = NkT
U = (f/2)NkT
The Attempt at a Solution
I found that equation for S in my book and also found that f = 3 for monatomic gases. So I used V = NkT/P and U = (3/2)NkT and just put it into the equation for S to get:
S = Nk[ln(KT/P(2πmT/h2)3/2) + 5/2].
I just wanted to see if I got this right because sometimes I make stupid mistakes and I didn't want to continue to the next part of the problem if got this part incorrect.