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An insulated vertical cylindrical vessel of cross-sectional area A= .12m^2 conta

ID: 811390 • Letter: A

Question

An insulated vertical cylindrical vessel of cross-sectional area A= .12m^2 contains 20 mol of He gas at To= 300K and Po= .5 bar. It is capped by a movable piston of mass m = 150kg supported from the ceiling by a wire. The top of the vessel is open to the atmosphere (Patm = 1bar, Tatm = 300K). The wire is cure and the weight falls and compresses the gas. a) Obtain the pressure and temperature of gas a short time after the wire has been cut, when a negligible amount of heat transfer has taken place. Comment on whether your solution takes into account the inevitable oscillations of the piston around its equilibrium position before it comes to rest. b)After a long time, the He gas thermally equilibrates with the enviornment by heat transfer through the piston. How much heat is exchanged with the environment during this process?

Explanation / Answer

a-

F= 9.8 m/s^2 *(150 kg) = 1,470 N P=F/A----> 1,470 N/0.12 m2 =12,250 pa

no idea about 2nd part

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