Physics - Heat & Thermo Question with Solution | TestHub

A large vacuum chamber of volume ' $V$ ' is connected to a narrow cylindrical pipe which is initially filled with an ideal gas $(\gamma =1.4)$ at temperature $T_0$, pressure $P_0$ and volume $V_0(\ll V)$. The gas is enclosed by a light insulating piston (which is free to move) and the air outside is constant pressure $P_0$. Now the gas in the pipe slowly allowed to leak into the vacuum chamber through a small opening as shown. All the walls are insulated. The final pressure ' $P$ ' and temperature ' $T$ ' of the gas are given by