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 1 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 114 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

Work done on the gas W = Amount of heat required to melt 114 g of ice

                                     = mass x latent heat of fusion of ice

                                    = 114 g x 333 J / g

                                   = 37962 J

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