Solving a two-variable function for a given range of one variable

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cmcelm
cmcelm 2019-11-1
Hi all,
I have a problem where I have a function P(V, T) of two variables. I would like to solve the function for a constant P and a range of T to return the corresponding V values as an array. I then need to take that V array and plug it into further functions of V and T.
So far, my code is just returning errors. Can anyone help with this?
syms T V
Tc = 227.5;
Pc = 3745000;
R = 8.3145;
a = (27*(R^2)*(Tc^2))/(64*Pc);
b = (R*Tc)/(8*Pc);
P = ((R*T)/(V-b))-(a/(V^2));
vdW = matlabFunction(P);
dPdT = diff(vdW, T)
dPdV = diff(vdW, V)
alpha = (-1/V)*(dPdT/dPdV)
expand = matlabFunction(alpha)
kappat = -1/(V*dPdV)
compress = matlabFunction(kappat)
CpCvdiff = T*V*((alpha^2)/kappat)
Trange = [89.4:10:1.5*Tc]
%to solve for V
Vrange = vpasolve(vdW(V, Trange) == Pc, V, [0 inf])
%to find alpha
expandrange = expand(Vrange, Trange)
%and so on for kappa and cp/cv

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