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A piston-cylinder device with an 8 in inner diameter contains 3 g of methane gas. The weight of the piston is 6 kg and a
A piston-cylinder device with an 8 in inner diameter contains 3 g of methane gas. The weight of the piston is 6 kg and a 25 kg extra weight rests on the piston. The gas temperature is 40 and the atmospheric pressure is 750 mm Hg.
- What is the absolute pressure of methane gas (in Pa) and the volume occupied by the gas (in L)? (Ideal gas behavior can be assumed)
- Suppose the weight is abruptly lifted and the piston rises to a new equilibrium position. Further suppose that the process takes place in two steps: a rapid step in which a negligible amount of heat is exchanged with the surroundings, followed by a slow step in which the gas returns to 40 at constant pressure. Considering the gas as the system, write the energy balances for step 1, step 2, and the overall process. In all cases, neglect kinetic and potential energy changes. Calculate the work done by the gas and the heat exchange between the gas and the surroundings during the overall process.
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