(adsbygoogle = window.adsbygoogle || []).push({}); 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.

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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

Can you offer guidance or do you also need help?

**Physics Forums | Science Articles, Homework Help, Discussion**