Air is held in a cylinder by a piston of a cross-sectional area 1ft 2 , and a ma

Question

Air is held in a cylinder by a piston of a cross-sectional area 1ft2, and a mass of 50 lbm. The surrounding air is at atmospheric pressure, 14.7 psi (lbf/in2). The air in the cylinder is cooled at a constant pressure until the air’s volume changes from an initial 2000 in3 to a final 1000 in3. How much work (ft-lbf) is done by the air

Air is held in a cylinder by a piston of a cross-sectional area 1ft2, and a mass of 50 lbm. The surrounding air is at atmospheric pressure, 14.7 psi (lbf/in2). The air in the cylinder is cooled at a constant pressure until the air’s volume changes from an initial 2000 in3 to a final 1000 in3. How much work (ft-lbf) is done by the air

Explanation / Answer

Work done = P d V

W = P (V2 - V1)

= 14.7 lbf/in2 * (2000 - 1000) in3

= 14700 lbf-in = 1225 ft-lbf

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