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

cbse
thermo-dynamics

#1

Two cylinders A and B of equal capacity are connected to each other via a stopcock. A contains a gas at standard temperature and pressure. B is 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 A and B ?
(b) What is change in the internal energy of the gas ?
© What is the change in the temperature of the gas ?
(d) Do the intermediate state of the system (before setting to the final equilibrium state) lie on its P-V-T surface ?


#2

(a) The gas would rush from A to B. The change in pressure or volume will take place under adiabatic conditions. The final pressure in the two cylinders would be 0.5 atm.
(b) The change in internal energy of the gas will be zero.
© The change in temperature will be zero.
(d) Since the process is rapid, the intermediate states
are not equilibrium states and hence do not satisfy the gas equation. So, the intermediate states of the system do not lie on the P-V-T surface.