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Thermal Physics

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14 Jan 2008 22:07:11 IST

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An olympiad question.please solve it.

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A metallic vessel of volume V with a narrow outlet tube is immersed in a water bath.The vessel contains n moles of a gas at a high pressure P.The gas is allowed to leak out slowly to the atmosphere(pressure P') via the tube.The vesel and bath are maintained at const temperature equal to the atmospheric temperature throughout the process by dissipating heat through an electical resistor placed inside the bath. The resistance of the resistor is r and it carries a current I.Equilibrium is attained in a time T.

Obtain an expression for the change in internal energy of the n moles of the gas from the initial to final equilibrium state.Take the molar volume of the gas at atmospheric pressure to be V'.

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