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Constant volume Specific heat and internal energy relationship in nonideal gas.

  1. Sep 21, 2010 #1
    Hi,
    1.
    [tex]\color{blue}dq=dU+PdV[/tex]
    so
    [tex]C_V = \left(\frac {\partial q}{\partial T}\right)_V= \left(\frac {\partial U}{\partial T}\right)_V[/tex]
    leads to
    [tex]dU=C_{V}dT[/tex]
    so
    [tex]\color{red}\left(\frac {\partial U}{\partial V}\right)_T = 0[/tex]
    meaning that internal energy of NONideal gas is a sole function of T?
    2.
    As
    [tex]\color{blue}dq=dU+PdV[/tex]
    so
    [tex]\left(\frac {\partial U}{\partial V}\right)_T= \left(\frac {\partial V}{\partial T}\right)_P \left(C_P-C_V\right) - P[/tex]
    why? even for ideal gas the change in volume results in change in internal energy:
    [tex]\color{red}\left(\frac {\partial U}{\partial V}\right)_T \not= 0??[/tex]

    thanks for answering.
     
    Last edited: Sep 21, 2010
  2. jcsd
  3. Sep 22, 2010 #2
    help please....
     
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