A cylinder with a movable piston contains n moles of gas

Chapter 19, Problem 19.101

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A cylinder with a movable piston contains n moles of gas at a temperature higher than that of the surrounding environment. An external force on the piston keeps the pressure constant while the gas cools as T = 1T20e-t/t , where T is the temperature difference between the gas and the environment, 1T20 is the initial temperature difference, and t is the time constant. a. Find an expression for the rate at which the environment does work on the gas. Recall that the rate of doing work is power. b. What power is initially supplied by the environment if 0.15 mol of gas are initially 12C warmer than the surroundings and cool with a time constant of 60 s?

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