Two cylinders A and B of equal capacity are connected to each other via a stopco

Question

Two cylinders Aand Bof equal capacity are connected to each other via a stopcock. Acontains a gas at standard temperature and pressure. Bis completely evacuated. The entire system is thermally insulated. The stopcock is suddenly opened. Answer the following:

(a) What is the final pressure of the gas in Aand B?

(b) What is the change in internal energy of the gas?

(c) What is the change in the temperature of the gas?

(d) Do the intermediate states of the system (before settling to the final equilibrium state) lie on its P-V-Tsurface?

Explanation / Answer

d)    The given process is a case of free expansion. It is rapid and cannot be controlled. The intermediate states do not satisfy the gas equation and since they are in non-equilibrium states, they do not lie on the P-V-T surface of the system.

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