(a) For a van der Waals gas, show that the

(a) For a van der Waals gas, show that the critical temperature is 8a/27Rb and the critical pressure is a/27b2.

(b) Rewrite the van der Waals equation of state in terms of the reduced variable Vr = V/Vc, Pr = P/Pc, and Tr = T/Tc.

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