Understanding Maxwell Relations to Deriving (∂U/∂P)V=-T(∂V/∂T)S

[AAiden]

1. Derive (∂U/∂P)_V=-T(∂V/∂T)_S

2. I must use dU=TdS-PdV

3. Derivations are my weakest part of math. I checked many wikis about Total differentials, partial derivatives, Maxwell relations and derivations. I can use the Thermodynamic Square, I know how to find different Maxwell relations but I am running in circles trying to derive this equation. Thanks to anyone who can help me out!

(I am stale on my partial derivatives memory and I am failing to see how these potentials relate with these constants)

 

[DrClaude]

Can you find a Maxwell relation for the right-hand side?

 

[AAiden]

Yes, I already solved this problem, thanks.

This can be closed.