Thermodynamic Problem

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Hi Guys!

plz help me in deriving this:

A container of volume [tex]V_{c}[/tex] contains gas at a high temperature. The container id connected through a stopcock and a capillary tube to a cylinder equipped with a frictionless piston. When the stopcock is opened, the gas enters the cylinder while at the same time the pressure in the cylinder remains constant at the atmospheric value [tex]P_{a}[/tex].

a) show that the amount of work done at the end of the process is

[tex]W=P_{a}(V_{a}-V_{c})[/tex]

where [tex]V_{a}[/tex] is the volume of the gas at the atmospheric temperature and pressure.

b) How much work would have been done if the gas leaked directly into the atmosphere?

Thanks in advance
 

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