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Maxwell's Relations Derivative P,V,T,Cp,Cv

  1. Feb 16, 2012 #1
    1. The problem statement, all variables and given/known data
    Express (dA/dV)p in terms of P,V,T,Cp,Cv and their derivatives. Your answer may include
    absolute values of S if it is not a derivative constraint or within a derivitive

    2. Relevant equations
    Maxwell's equations
    Product Rule
    Chain&Expansion rule

    3. The attempt at a solution
    Using the maxwell's relations
    (dA/dV)p= -S(dT/dV)p -P(dV/dV)p
    = -S(dT/dV)p -P
    This is where I am stuck. Because S is a coefficient of the derivative can you turn
    (dT/dV)p to P/R where T=VP/R. S is calculated from measurable properties so I believe this doesn't work
    If this works than (dA/dV)p simply equals -SP/R -P. I believe you need to get rid of S but I don't know how at this point.
    Last edited: Feb 16, 2012
  2. jcsd
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