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 Nov 23 awarded Popular Question Mar 25 awarded Popular Question Jul 26 awarded Yearling May 4 comment How do molecules bubble off a photon? I appreciate your response but you're not saying anything that I havn't said in my post. May 2 asked How do molecules bubble off a photon? Mar 11 accepted Why is $\left.\frac{\partial C_V}{\partial V}\right|_T$ different in these derivations? Mar 11 comment Why is $\left.\frac{\partial C_V}{\partial V}\right|_T$ different in these derivations? I added the exercise from the book, you're actually stating exactly what the book asks for, I just had some trouble following it. You're right, the easiest way to show this seems to be that "cross-partial derivatives" are not equal. Mar 11 revised Why is $\left.\frac{\partial C_V}{\partial V}\right|_T$ different in these derivations? added 648 characters in body Mar 10 comment Why is $\left.\frac{\partial C_V}{\partial V}\right|_T$ different in these derivations? I appreciate your pragmatic approach. I'm posting the question however because I want to follow the derivation in my book, so I'm still wondering if my above derivation makes sense or not. Mar 10 comment Why is $\left.\frac{\partial C_V}{\partial V}\right|_T$ different in these derivations? I have an example for an ideal monoatomic gas (where I know the explicit form of the constant volume heat capacity). But how to do this if there is no explicit $C_V$? Mar 10 comment Why is $\left.\frac{\partial C_V}{\partial V}\right|_T$ different in these derivations? My above proof is to follow along the argument in a book. I know $\delta q$ could be shown to be not exact by integrating along a closed path, but I'm not quite sure at the moment how to do that. Mar 10 asked Why is $\left.\frac{\partial C_V}{\partial V}\right|_T$ different in these derivations? Mar 5 asked work equals heat in isothermal process only for ideal gas? Sep 22 comment Textbook Problem: Free energy expression I'm not sure I'm following. Can you elaborate what you would do? Sep 22 comment Textbook Problem: Free energy expression Comment 1: Thanks for the edit. Comment 2: Can we add equation numbers? Sep 22 revised Textbook Problem: Free energy expression added 1 characters in body Sep 21 asked Textbook Problem: Free energy expression Jul 26 awarded Yearling Jul 14 comment How can this formula be analyzed intuitively? Sure, brute forcing it is feasible. But say I had 20 terms, would it still be possible? I just thought, maybe I'm missing something obvious. Jul 14 asked How can this formula be analyzed intuitively?