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A gas is contained in a vertical piston–cylinder assembly by a piston with a face area...

A gas is contained in a vertical piston–cylinder assembly by a piston with a face area of 40 in.2 and weight of 100 lbf. The atmosphere exerts a pressure of 14.7 lbf/in.2on top of the piston. A paddle wheel transfers 3 Btu of energy to the gas during a process in which the elevation of the piston increases by 1 ft. The change in internal energy of the gas is 2.12 Btu. The piston and cylinder are poor thermal conductors, and friction between them can be neglected. Determine the amount of energy transfer to the gas by the paddle wheel, in Btu.

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