Awesome, thanks! Got it now, much less nasty than I'd thought :-) (I was just messing up the cancellation of terms - which made me doubt I'd got the differentiation right in the first place because the whole thing looked such a mess!)
Hi, thanks for the help!
I've tried the partial differentiation, but when I try and eliminate V and ∂V/∂T between the equation I obtain and the equation of state I just get a horrible mess - I'm not sure if I'm doing the differentiation right...
I rearranged the equation to get...
Homework Statement
For a gas obeying Dieterici's equation of state:
P(V-b) = RTexp(-a/RTV)
for one mole, prove that the equation of the inversion curve is
P = ((2a/b^2) - (RT/b)) * exp((1/2) - (a/(RTb)))
and hence find the maximum inversion temperature.Homework Equations
N/A
The Attempt...