Imagine that we have a sample of nitrogen gas (N2) confined to a cylinder by a movable piston. The cylinder is immersed in ice water, and the gas initially has a temperature of 0◦C. (Step A) You fairly rapidly compress the gas, adiabatically decreasing its volume by a factor of 2. (Step B) You hold the piston still until the gas has cooled again to 0◦C. (Step C) You allow the gas to expand slowly to its original volume while allowing plenty of time for heat to move out of or into the gas (so that its temperature remains very close to 0◦C). If 85.0 g of ice was melted during Step B of this cycle, how much work energy did you put into the gas during step A? Draw a P-V diagram and describe your reasoning

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