Develop a general relationship for the change in temperature with respect to pressure at constant entropy:

(a) Evaluate the expression for an ideal gas.

(b) From the result in part (a), show that for an ideal gas with constant cP, an isentropic expansion from state 1 and state 2 yields Equation (2.49).

(c) Evaluate the expression for a gas that obeys the van der Waals equation of state.

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