P=(RT/V) + (a+bT)/(V^2)
What is the partial derivative of ∂(V)/∂(T)?

Question

P=(RT/V) + (a+bT)/(V^2)
What is the partial derivative of ∂(V)/∂(T)?

thomas5267 · Answer

I don't know whether this will be complicated by Maxwell's relation which I don't understand.  If this can be treated as a normal function, I will express V in terms of T before differentiating.

irishboy123 · Answer

might be hard getting that V isolated, so you can use the inverse of $$\left (\frac{∂T}{∂V} \ \right )_P$$ holding P constant, as the T is easier to isolate; or you could even do an *implicit* $$\frac{∂}{∂T} $$ on the whole shebang, again holding P constant (so ∂P/∂T = 0, ∂T/∂T = 1 etc)

not really thought about which would be neater so i'd do both -- and make sure they gave the same answer.