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 temperature and the final pressure. Now the pin which was keeping the piston fixed is removed and the piston set free to move. The piston is allowed to slide slowly, such that a state of mechanical equilibrium is also achieved (T_1 P_2 gt P_1T_2)

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 temperature and the final pressure. Now the pin which was keeping the piston fixed is removed and the piston set free to move. The piston is allowed to slide slowly, such that a state of mechanical equilibrium is also achieved (T_1 P_2 gt P_1T_2)
Answer» SOLUTION :`P_1=(P_1 (P_1 +P_2 )T_2)/(P_1 T_2 +P_2 T_1)` , similarresult for ` P_20`