The molar heat capacity at constant pressure for a gas whose molecules have v degrees of freedom apiece is Cp = [(v + 2)/2]R. Using the van der Waals model and expressing your answers in terms of v, p, v, and the van der Waals coefficients a, b, calculate the coefficient in the following formulas:
(a) dT = (. - .)dp for the throttling process.
(b) dT = (. - .)dv for free expansion.