EDIT: I thought I posted this on the wrong forum but I didn't, lol. Sorry, and here's my question again.
I've been working on this problem for a while:
Calculate the isothermal compressibility and the expansion coefficient of a van der Waals gas. Show, using Euler's chain relation that
K
TR=alpha(V
m-b)
I know that compressibility for an ideal gas is K
T=(-1/V)*(dV/dP)
T <---that's a partial derivative
K
T=(-1/V)*(-nRT/P
2)=1/P
and the expansion coefficient alpha=(1/V)*(dV/dT)
PI took the derivative of the Van der Waals eq. and got P(dV/dT)
P-(a/V
2)(dV/dT)
P+(2ab/V
3)(dV/dT)
P=R
From there I can get an expression for (dV/dT)
P but I don't know where to go from here. It bears some resemblance to the virial equation pV=RT(1+(B/V)+(C/V^2)+...)
Any ideas on what I should try or what would help?
Thanks