Thermodynamic derivation of heat capacity

[tarletontexan]

Homework Statement

c_p=c_v+TV?^2/?

Homework Equations

c_p=T/N($\partialS$/$\partialT$)_p

The Attempt at a Solution

I have the equation, just not sure how to apply it? Any help would be appreciated

 

[Andrew Mason]

Homework Statement

c_p=c_v+TV?^2/?

Homework Equations

c_p=T/N($\partialS$/$\partialT$)_p

The Attempt at a Solution

I have the equation, just not sure how to apply it? Any help would be appreciated

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 don't know how to apply them.

 

[Andrew Mason]

yes, I know that there are several maxwell relations to get to the solution I just don't know how to apply them.

Start with:

TdS = dU + PdV

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

AM