How to Prove (∂U/∂V)P = TCV/V for a Perfect Gas?

[fgr]

Hi! I need to prove that:

(∂U/∂V)P = TCV/V

For a perfect gas.

But I don't know start. Can you help me please?

 

[SteamKing]

How about starting with an equation for what U is?

 

[Paradox101]

How about starting with an equation for what U is?

Obviously, try expanding the equation of what U really is in terms of TC/V. It's a bit long, but eventually the ans becomes clear.
If ur really stuck, instead of copying an answer, try reading this-http://http://www.colby.edu/chemistry/PChem/notes/Ideal1st.pdf

 

[Paradox101]

Oh, and don't forget that it's a partial derivative...and to write QED at the end. cheers :)

 

[Chestermiller]

Start out with dU = C_vdT for an ideal gas.

Chet