1. Suppose that S is regarded as a function of P and T Show that TdS = CP(delta)

Question

1. Suppose that S is regarded as a function of P and T

Show that TdS = CP(delta)T - (alpha)TVdP where (alpha) is the thermal expansion coefficient.

2. A process involving a perfect gas is carried out in which the temperature

changes at constant volume. First, the process is carried out for a fixed value of

deltaT and the mass of the gas is doubled. Then, the process is repeated with the

same initial mass and deltaT is doubled. For which of these processes is deltaS

greater? Why?

please show steps for both questions. thanks

Explanation / Answer

dQ=TdS=CpdT-

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