A cylindrical container 0.8 m long has two compartments separated by a thin piston originally fixed 0.3 m from the left end. The container and piston have negligible heat capacities. The left compartment is filled with one mole of He gas at 5 atm and the right container is filled with Ar gas at 1 atm. Consider both gases to be ideal. The cylinder is submerged within 1 liter of water and the entire system is initially in thermal equilibrium at 298 K. At a particular time the piston is released from its position and is allowed to move. Eventually the system will again reach thermal equilibrium. a) What is the increase in the temperature of the water? b) Where does the piston come to rest? (How far from left edge?) c) What is the change in entropy of the entire system? water He at 5 atm Ar at 1 atm 0.5 m 0.3 m

A cylindrical container 0.8 m long has two compartments separated by a thin piston originally fixed 0.3 m from the left end. The container and piston have negligible heat capacities. The left compartment is filled with one mole of He gas at 5 atm and the right container is filled with Ar gas at 1 atm. Consider both gases to be ideal. The cylinder is submerged within 1 liter of water and the entire system is initially in thermal equilibrium at 298 K. At a particular time the piston is released from its position and is allowed to move. Eventually the system will again reach thermal equilibrium. a) What is the increase in the temperature of the water? b) Where does the piston come to rest? (How far from left edge?) c) What is the change in entropy of the entire system? water He at 5 atm Ar at 1 atm 0.5 m 0.3 m