Figure (a) shows a cylinder containing gas and closed by a movable piston. The c

Question

Figure (a) shows a cylinder containing gas and closed by a movable piston. The cylinder is kept submerged In an ice-water mixture. The piston is quickly pushed down from position I to position 2 and then held at position 2 until the gas Is again at the temperature of the Ice-water mixture; It then Is slowly raised back to position 1. Figure (b) Is a p-V diagram for the process. If 113 g of ice is melted during the cycle, how much work has been done on the gas? Take the heat of fusion for water to be 333 J/g.

Explanation / Answer

Heat energy released by ice in the process = 113 x 333 J = 37629 J

SInce the gas is maintained at constant temperature of ice. Total heat released by ice should be used to do work on the gas. Then work done on the gas = 37629 J

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