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Thermodynamics: Maxwell relation and thermal expansion

  1. Nov 23, 2006 #1
    Use a Maxwell relation and the third law of thermodynamics to prove that the thermal expansion coefficient beta must be zero at T=0.

    I know that B=(delta V/V)/T and I also know the Maxwell relations. I'm just not sure which one to use and how to relate it to beta.
  2. jcsd
  3. Nov 24, 2006 #2


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    Do you mean

    [tex] \beta =\frac{1}{T}\left(\frac{\partial V}{\partial T}\right)_{p} [/tex]


  4. Mar 7, 2008 #3
    no sir i want the relation b/w cp and cv with gamma for solid state
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