Physics - Heat & Thermo Question with Solution | TestHub

In a cylindrical container of sufficiently large height, two easily moving pistons enclose a certain amount of the same ideal gas in two chambers as shown in Figure 2.43. The upper piston is at a height 20 cm from the bottom and the lower piston is at a height 8 cm from the bottom. The mass of each piston is $m$ kg and the cross-sectional area of each piston is $A$ $m^2$, where $\frac{mg}{A}=P_0$ and $P_0$ is the atmospheric pressure = $1\times 10^5$ N/$m^2$. The cylindrical container and pistons are made of conducting material. Initially the temperature of the gas is $27^{\circ }$C and the whole system is in equilibrium. Now the upper piston is slowly lifted by 16 cm and held in that position with the help of some external force. As a result, the lower piston rises slowly by $l$ cm.

Find the ratio of the volume of gas in the upper chamber to that in the lower chamber in the final state: