Two vertical cylinders are connected by a small tube at the bottom. It contains a gas at constant temperature . Initially the pistons are located at the same height. The diameters of the two cylinders are different . Outside the cylinder the space is vaccum . Gravitational acceleration is `h,h_(0) = 20cm , m_(1) = 2kg "and" m_(2) =1kg`. The pistons are initially in equilibrium. If the masses of the piston are interchanged find the separation between the two pistons when they are again in equilibrium. Assume constant temperature .

Two cylinder A and B having piston conneted by massless rod (as shown in figure). The cross-sectional area two cylinders are same & equal to 'S'.The cylinder A contains m gm of an ideal gas at Pressure P & temperature T_(0) The cylinder B contain identical gas at same temperature T_(0) 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 and is equal to V_(0) . The walls & piston of cylinder A are thermally insulated, whereas cylinder B is maintained at temperature T_(0) reservoir. The whole system is in vacuum. Now the piston is slowly released and it moves towards left & machanical equilibrium is reached at the state when the volume of gas in cylinder A becomes V_(0)/2 Then (here gamma for gas =1.5) If work done by gas in cylinder B is W_(B) & work done by gas in cylinder A is W_(A) then

Two cylinder A and B having piston conneted by massless rod (as shown in figure). The cross-sectional area two cylinders are same & equal to 'S'.The cylinder A contains m gm of an ideal gas at Pressure P & temperature T_(0) The cylinder B contain identical gas at same temperature T_(0) 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 and is equal to V_(0) . The walls & piston of cylinder A are thermally insulated, whereas cylinder B is maintained at temperature T_(0) reservoir. The whole system is in vacuum. Now the piston is slowly released and it moves towards left & machanical equilibrium is reached at the state when the volume of gas in cylinder A becomes V_(0)/2 Then (here gamma for gas =1.5) The mass of gas in cylinder B

Two cylinder A and B having piston conneted by massless rod (as shown in figure). The cross-sectional area two cylinders are same & equal to 'S'.The cylinder A contains m gm of an ideal gas at Pressure P & temperature T_(0) The cylinder B contain identical gas at same temperature T_(0) 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 and is equal to V_(0) . The walls & piston of cylinder A are thermally insulated, whereas cylinder B is maintained at temperature T_(0) reservoir. The whole system is in vacuum. Now the piston is slowly released and it moves towards left & machanical equilibrium is reached at the state when the volume of gas in cylinder A becomes V_(0)/2 Then (here gamma for gas =1.5 ) The change in internal energy of gas in cylinder A

Two cylinder A and B having piston conneted by massless rod (as shown in figure). The cross-sectional area two cylinders are same & equal to 'S'.The cylinder A contains m gm of an ideal gas at Pressure P & temperature T_(0) The cylinder B contain identical gas at same temperature T_(0) 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 and is equal to V_(0) . The walls & piston of cylinder A are thermally insulated, whereas cylinder B is maintained at temperature T_(0) reservoir. The whole system is in vacuum. Now the piston is slowly released and it moves towards left & machanical equilibrium is reached at the state when the volume of gas in cylinder A becomes V_(0)/2 Then (here gamma for gas =1.5) What will be the compressive force in conneting rod at equilibrium

The piston cylinder arrangement shown contains a diatomic gas at temperature 300 K The cross sectinal area of the cylinder is 1m2. Initially the height of the piston above th base of the cyclinder is 1 m. The temperature is now raised to 400 K at constant pressure. There is no heat loss in the process.. Find the new height (in m) of the piston above the base of the cylinder.

The piston cylinder arrangement shown contains a diatomic gas at temperature 300 K The cross sectinal area of the cylinder is 1m2. Initially the height of the piston above th base of the cyclinder is 1 m. The temperature is now raised to 400 K at constant pressure. There is no heat loss in the process.. Find the new height (in m) of the piston above the base of the cylinder.

Two cylinders of different area of cross section are connected to each other with a pipe. The area of cross section of wider cylinder is 800 cm^2 ?. If a mass of 16kg is placed on the massless airtight frictionless piston in the wider cylinder, find the difference in the level of water in the two cylinders

A vertical closed cylinder is separated into two parts by a frictionless piston of mass m and of negligible thickness. The piston is free to move along the length of the cylinder. The length of the cylinder above the piston is l_(1) , and that below the piston is l_(2) , such that l_(1)gtl_(2) . Each part of the cylinder contains n moles of an ideal gas at equal temeprature T. If the pistion is stationary, its mass, m, will be given by : (R is universal gas constant and g is the acceleration due to gravitey)