How much work would be done if the gas leaked

Reference no: EM131355132

A thin-walled metal container of volume V contains a gas at high pressure. Connected to the container is a capillary tube and stopcock. When the stopcock is opened slightly, the gas leaks slowly into a cylinder equipped with a nonleaking, frictionless piston, where the pressure remains constant at the atmospheric value P_o.

(a) Show that, after as much gas as possible has leaked out, an amount of work has been done, where V_o is the volume of the gas at atmospheric pressure and temperature.

W = -P0(V0-V)

(b) How much work would be done if the gas leaked directly into the atmosphere?

Reference no: EM131355132

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