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A piston/cylinder has 5m of liquid 20°C water on top of piston with cross-sectional area of 0.1 m2. Air is let in under the piston that rises and pushes the water out. Find the necessary work to push all the water out.

A piston/cylinder has 5m of liquid 20°C water on top of piston with cross-sectional area of 0.1 m2. Air is let in under the piston that rises and pushes the water out. Find the necessary work to push all the water out. Correct Answer 62.88 kJ

P1 = Po + ρgH = 101.32 + 997 × 9.807 × 5 / 1000 = 150.2 kPa ∆V = H × A = 5 × 0.1 = 0.5 m3 Work = Area = ∫ P dV = ½ (P1 + Po )(Vmax -V1) = ½ (150.2 + 101.32) kPa × 0.5 m3 = 62.88 kJ.

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