What is the Sackur-Tetrode expression for the entropy of a monatomic ideal gas?

[S_Flaherty]

Homework Statement

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).

Homework Equations

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.

 

[TSny]

Hello.

Looks pretty good, but I don't think you have enough factors of K in your expression. Also, you might want to combine all factors of K and T to make it look a little nicer.