Derive the thermodynamic equation Cp-Cv=T(dP/dT)v*(dV/dT)p

[Adib Morzuki]

Someone can help me to prove the question below please!

someone know how to derive this equation Cp-Cv=T(dP/dT)v*(dV/dT)p*?

 

[mal4mac]

You need to say what all those variables represent, and what equation(s) you have from which you wish to derive this one. What is the actual full question you are trying to answer?

 

[Chestermiller]

This sounds like a homework problem. Is it?

 

[Adib Morzuki]

You need to say what all those variables represent, and what equation(s) you have from which you wish to derive this one. What is the actual full question you are trying to answer?

That is the problem. My lecturer asked me to derive the equation given without any details.

 

[Adib Morzuki]

This sounds like a homework problem. Is it?

More like it but it is an assignment for us. My lecturer just gave us that equation and asked to derive the equation without any details.

 

[Adib Morzuki]

You need to say what all those variables represent, and what equation(s) you have from which you wish to derive this one. What is the actual full question you are trying to answer?

i believe this is only details
https://www.dropbox.com/s/9as6jjs5cq67xeq/IMG-20140923-WA0004.jpg?dl=0

 

[Adib Morzuki]

*UPDATE*

The question are asking how to prove the left equation equal to the right equation

 

[Chestermiller]

What is dU in terms of dS and dV? If we represent the entropy S as S(T,P), what is dS in terms of the partial derivatives of S with respect to T , P, and dT and dP?

Chet