The figure shows an insulated cylinder of volume V containing monoatomic gas in both the compartments. The piston is diathermic. Initially the piston is kept fixed, and the system is allowed to acquire a state of thermal equilibrium. If the initial pressures and temperatures are as shown. Calculate the final volume of gas in each compartment.

The figure shows an insulated cylinder of volume V containing monoatom

1.	The figure shows an insulated cylinder of volume V containing monoatomic gas in both the compartments. The piston is diathermic. Initially the piston is kept fixed, and the system is allowed to acquire a state of thermal equilibrium. If the initial pressures and temperatures are as shown. Calculate the final volume of gas in each compartment.
Answer» SOLUTION :`V_("LEFT")=V ((P_1 T_2)/( P_2T_1T_2 ) ) ,V_("RIGHT ")=V((P_2 T_1)/(P_2 T_1 +P_1 T_2))`