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2. (20 pts) A cylinder filled with gas has a movable piston initially at rest. Heat is added to the gas in the cylinder until the 10kg piston achieves a constant velocity of 2m/s while being raised 0.2m in height. The internal energy of the gas in the cylinder increases by 20J and the piston does 15J of work on the surrounding atmospheric air. a. (5 pts) Sketch and identify a system and clearly indicate the boundary for your analysis. b. ( 10 pts) Compute the heat added to the cylinder (in Joules). c. (5 pts) Redo part b using U.S. units as follows: piston mass is 20lbm, final velocity is 2ft/s, height increase is 0.2ft, internal energy increase is 0.02Btu, and piston does 0.01 Btu of work on the surroundings. Compute the heat in Btu