Section-C: Comprehension Type
Two cylinder A and B having pistons connected by a massless rod (as shown in figure). The cross-sectional area of two cylinders are same & equal to ‘S’. The cylinder A contains m gm of an ideal gas at Pressure P & temperature T0. The cylinder B contain identical gas at same temperature T0 but has different mass. The piston is held at the state in the position so that volume of gas in cylinder A & cylinder B are same & is equal to V0.
The walls & piston of cylinder A are thermally insulated, whereas cylinder B is maintained at temperature T0 of reservoir. The whole system is in vacuum. Now the piston is slowly released and it moves towards left & mechanical equilibrium is reached at the state when the volume of gas in cylinder A becomes . Then (here γ for gas = 1.5)
The change in internal energy of gas in cylinder A