# Archived Partial derivation problem

1. Nov 25, 2012

### Jalo

1. The problem statement, all variables and given/known data

Consider the following equality:

($\frac{∂S}{∂V}$)T = ($\frac{∂P}{∂T}$)V

If I rearrange the equality so that I write:

($\frac{∂S}{∂P}$)? = ($\frac{∂V}{∂T}$)?

What variables will be constant in each side?
I'm having some trouble in a few thermodynamics problems because of this...

2. Relevant equations

3. The attempt at a solution

I don't know how to do this. Normally I just ignore and assume that every variable except the variable of differentiation is a constant.
If anyone could confirm or correct me I'd be thankful.

Thanks.

2. Feb 10, 2016

### Isaac0427

I think (T/V)(∂s/∂p)=(∂V/∂T). Is this correct?