A system of Volume V contains a mass m of gas at pressure p and temperature T. The macroscopic properties of the system obey the following relationship: ( + a 2 ) ( − b) = R Where a, b and R are constants. a) Obtain an expression for the displacement work done by the system during constant-Temperature expansion from volume 1 to 2. b) Calculate the work done by a system which contains 10 kg of this gas expanding from 1m3 to 10 m3 at a temperature of 293 K. Use the values a = 157 Nm4 , b = 1.07 x 10-2 m3 and R = 0.278 KJ/kg-K.
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