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## 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/3Nh

^{2})

^{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/h**.

^{2})^{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.