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A cylinder, with piston, contains a fixed amount of gas. Initially, it is in thermal equilibrium with an ice-water bath. The pressure, volume, and temperature

A cylinder, with piston, contains a fixed amount of gas. Initially, it is in thermal equilibrium with an ice-water bath. The pressure, volume, and temperature of the gas are Pi , Vi, and Ti respectively.The cylinder is then removed from the ice water and placed into boiling water. After the system has come to thermal equilibrium with the boiling water, the pressure, volume, and temperature are Pf, Vf, and TfConsider the following student dialogue regarding the above experiment.Student 1: "According to the ideal gas law, the pressure is proportional to the temperature. Since the temperature of the gas increased, the pressure must go up."Student 2: "That's right. Since no gas entered or left the system, the volume did not change. So the pressure must have increased."Do you agree with either of the students? Explain your reasoning.

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