Thermodynamic derivation of heat capacity

  1. 1. The problem statement, all variables and given/known data

    cp=cv+TV?^2/?

    2. Relevant equations


    cp=T/N([itex]\partialS[/itex]/[itex]\partialT[/itex])p
    3. The attempt at a solution
    I have the equation, just not sure how to apply it? Any help would be appreciated
     
  2. jcsd
  3. Andrew Mason

    Andrew Mason 6,805
    Science Advisor
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    I am not sure what the question is. Are we dealing with an ideal gas?

    AM
     
  4. yes, I know that there are several maxwell relations to get to the solution I just dont know how to apply them.
     
  5. Andrew Mason

    Andrew Mason 6,805
    Science Advisor
    Homework Helper

    Start with:

    TdS = dU + PdV

    CP = (∂Q/∂T)P = T(∂S/∂T)P = (∂U/∂T)P + P(∂V/∂T)P

    AM
     
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