Question

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: (p+ (a/V2)) (c)= mRT Where a, b, and R are constants. Obtain an expression for the displacement work done by the system during a constant-temperature expansion from volume V1to volume V2. Calculate the work done by a system which contains 10 kg of this gas expanding from 1 m3to 10 m3at a temperature of 293 K. Use the values a = 15.7× 10 Nm 4, .07 ×10-2 m, and R = 0.278 kJ/kg-K.

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