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[Thermo] Equation of State Given, Find Internal Energy and Specific Heat

  1. May 2, 2008 #1
    1. The problem statement, all variables and given/known data


    P=RT/(v-b) - a/(T(V+c)^2)


    2. Relevant equations

    u2-u1= Integral ( Cv dT) + Integral ( T * (dP/dT)v - P) dV

    3. The attempt at a solution

    I've differentiated P with respect to T to get R/(v-b)+a/(T^2(V+C)^2 and plugged the relevants back into the equation for u2-u1. I'm confused as to how to derive both Cv and U2-u1 from the equation. At first I thought Cv would drop out of the first equation and I could just solve for my internal energy solving to get 2* Integral(a / T(v+c)^2) dv but then i'm stuck with just an equation for internal energy and no way to go back and get the specific heat. Any pointers?

    Thanks
     
  2. jcsd
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