(Solution) - A closed cylinder is divided into two rooms by a frictionless -(2025 Original AI-Free Solution)

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A closed cylinder is divided into two rooms by a frictionless piston held in place by a pin. Room A has 10 L air at 100 kPa, 30?C, and room B has 300 L saturated water vapor at 30?C. The pin is pulled, releasing the piston, and both rooms come to equilibrium at 30?C and as the water is compressed it becomes two phase. Considering a control mass of the air and water, determine the work done by the system and the heat transfer to the cylinder.