thermodynamic derivation of heat capacity

tarletontexan

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

c_p=c_v+TV?^2/?

2. Relevant equations


c_p=T/N([itex]\partialS[/itex]/[itex]\partialT[/itex])_p
3. The attempt at a solution
I have the equation, just not sure how to apply it? Any help would be appreciated

Andrew Mason

I am not sure what the question is. Are we dealing with an ideal gas?

AM

tarletontexan

yes, I know that there are several maxwell relations to get to the solution I just dont know how to apply them.

Andrew Mason

Start with:

TdS = dU + PdV

C_P = (∂Q/∂T)_P = T(∂S/∂T)_P = (∂U/∂T)_P + P(∂V/∂T)_P

AM