# Thermodynamic Problem

1. Sep 8, 2005

### shaiqbashir

Hi Guys!

plz help me in deriving this:

A container of volume $$V_{c}$$ 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 $$P_{a}$$.

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

$$W=P_{a}(V_{a}-V_{c})$$

where $$V_{a}$$ 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?