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A piston cylinder contains 1 kg of liquid water at 20°C and 300 kPa. There is a linear spring mounted on the piston such that when the water is heated the pressure reaches 3 MPa with a volume of 0.1m^3. Find the work in the process.

A piston cylinder contains 1 kg of liquid water at 20°C and 300 kPa. There is a linear spring mounted on the piston such that when the water is heated the pressure reaches 3 MPa with a volume of 0.1m^3. Find the work in the process. Correct Answer 163.35 kJ

Work is done while piston moves at linearly varying pressure, so we get: 1W2 = ∫ P dV = area = Pavg (V2 − V1) = (P1 + P2)*(V2 – V1)/2 = 0.5 (300 + 3000)(0.1 − 0.001) = 163.35 kJ.

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