P=RT/(v-b) - a/(T(V+c)^2)
u2-u1= Integral ( Cv dT) + Integral ( T * (dP/dT)v - P) dV
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?