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## Main Question or Discussion Point

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

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