# Maxwell's Relations Derivative P,V,T,Cp,Cv

1. Feb 16, 2012

### GZunich

1. The problem statement, all variables and given/known data
Express (dA/dV)p in terms of P,V,T,Cp,Cv and their derivatives. Your answer may include
absolute values of S if it is not a derivative constraint or within a derivitive

2. Relevant equations
Maxwell's equations
Product Rule
Chain&Expansion rule

3. The attempt at a solution
Using the maxwell's relations
(dA/dV)p= -S(dT/dV)p -P(dV/dV)p
= -S(dT/dV)p -P
This is where I am stuck. Because S is a coefficient of the derivative can you turn
(dT/dV)p to P/R where T=VP/R. S is calculated from measurable properties so I believe this doesn't work
If this works than (dA/dV)p simply equals -SP/R -P. I believe you need to get rid of S but I don't know how at this point.

Last edited: Feb 16, 2012