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Homework Help: Partial Derivative Ideal Gas

  1. Sep 17, 2012 #1
    1. The problem statement, all variables and given/known data

    Prove that
    (∂P/∂V) n,T = 1/(∂V/∂P) n,T

    n and T are supposed to mean that theyre just constants

    2. Relevant equations

    Ideal Gas


    3. The attempt at a solution

    I tried

    (∂P/∂V) n,T= ∂nRT/v/∂V = ∂nRT/V ∂V

    then im stuck here
  2. jcsd
  3. Sep 17, 2012 #2


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    Science Advisor
    Homework Helper

    Why are you stuck? n, R and T are constant. Move them outside the differentiation. Now you've just got ∂(1/V)/∂V. What's that?
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