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Find the heat capacity of the system

  1. Jun 25, 2009 #1
    1. The problem statement, all variables and given/known data

    A system posesses three energy levels E1=ε, E2=2ε, E3=3ε with degeneracies g(E1)=g(E3)=1 , g(E2)=2
    Find the heat capacity of the system.

    2. Relevant equations

    Z=e-βε+e-2βε+e-3βε

    d2lnZ/dβ2=kT2C

    3. The attempt at a solution

    i got the partition function and then differenciated it twice which gives me an expression for C however its not correct and i can't see how to bring it the degeneracites i presume they are needed
     
  2. jcsd
  3. Jun 25, 2009 #2

    Avodyne

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    Science Advisor

    Re: Degeneracies

    [tex]Z=\sum_i g_i e^{-\beta E_i}[/tex]
     
  4. Jun 26, 2009 #3
    Re: Degeneracies

    thanks
     
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