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I Heat capacity at constant volume and density

  1. Apr 30, 2017 #1
    Hello! I encountered in a problem the terms heat capacity at constant volume and density (##n##) and heat capacity at constant chemical potential (##\mu##) and volume and I need to prove a relation between them. What is their definition? I thought that for the first one it would be ##C_n=\frac{\partial U}{\partial T}|_{n,V}## and for the second one ##C_\mu=\frac{\partial U}{\partial T}|_{\mu,V}## and I can take ##U## from ##U=TS+\mu N-pV## and derive each term with respect to temperature, keeping the corresponding variables fixed. Is this logic correct?
     
  2. jcsd
  3. Apr 30, 2017 #2

    Charles Link

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    Homework Helper

    Problem was solved and had an interesting solution. See Specific heats
     
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