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How can I prove this equation?

  1. Mar 7, 2015 #1


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    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?
  2. jcsd
  3. Mar 7, 2015 #2


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    How about starting with an equation for what U is?
  4. Mar 9, 2015 #3
    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://[URL="http://www.colby.edu/chemistry/PChem/notes/Ideal1st.pdf"]www.colby.edu/chemistry/PChem/notes/Ideal1st.pdf[/URL] [Broken]
    Last edited by a moderator: May 7, 2017
  5. Mar 9, 2015 #4
    Oh, and don't forget that it's a partial derivative...........and to write QED at the end. cheers :)
  6. Mar 9, 2015 #5
    Start out with dU = CvdT for an ideal gas.

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