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Derive the expression for isothermal change in Constant Volume Heat Capacity

  1. Sep 22, 2009 #1
    1. The problem statement, all variables and given/known data
    Derive the following expression for calculating the isothermal change in Constant Volume Heat Capacity:

    (dCv/dV)T = T(d2P/dT2)V


    2. Relevant equations



    3. The attempt at a solution

    I have no idea, please help
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Sep 22, 2009 #2
    How about this?????

    assuming ideal gas:

    P=nrt/V

    then

    (dP/dT) = R/V , ignoring moles

    and

    (d2P/d2T) = 0

    so (dCv/dV)=T*0=0
     
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