The Clausius equation of state describes the behavior of a certain fluid: P(V-b) = RT with b = 10
5 m^3/mol. For this fluid, Cp= 25 + 4 x 10^2 T J/(mol K)
(a) Derive an explicit algebraic expression for the Cp of the fluid, valid at any pressure.
(b) The pressure of the fluid must be reduced from 4 MPa to 800 kPa. The initial temperature of the fluid is 300 K.
(c) Your colleagues are considering two different ways of reducing the pressure; either by passing the fluid through a throttling valve, or by passing it through a small gas turbine that runs reversibly and adiabatically. What will the final temperature of the fluid be in each case?
