A diatomic gas is enclosed in a vessel fitted with massless movable piston. Area of cross section of vessel is `1m^2`. Initial height of the piston is 1m (see the figure). The initial temperature of the gas is 300K. The temperature of the gas is increased to 400K, keeping pressure constant, calculate the new height of the piston. The piston is brought to its initial position with no heat exchange. Calculate the final temperature of the gas. You can leave answer in fraction.

One mole of a perfect gas in a cylinder fitted with a piston has a pressure P, volume V and temperature T. if the temperature is increased by 1K keeping pressure constant, the increase in volume is

A gas (lambda=1.3) is enclosed in an insulated vessel fitted with insulating piston at a pressure of 10^(5)N//m^(2) . On suddenly pressing the piston the volume is reduced to half the initial volume. The final pressure of the gas is

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.

2.00 mole of a monatomic ideal gas (U=1.5nRT) is enclosed in an adiabatic, fixed , vertical cylinder fitted with a smooth, light adiabatic piston. The piston is connected to a vertical spring of spring constant 200 N m^(-1) as shown in .the area of cross section of the cylinder is 20.0 cm^(2) . initially, the spring is at its natural length and the temperature of the gas is 300K at its natural length. the atmosphere pressure is 100 kPa. the gas is heated slowly for some time by means of an electric heater so as to move the position up through 10 cm. find (a) the work done by the gas (b) the final temperature of the gas and (c ) the heat supplied by the heater.

2.00 mole of a monatomic ideal gas (U=1.5nRT) is enclosed in an adiabatic, fixed , vertical cylinder fitted with a smooth, light adiabatic piston. The piston is connected to a vertical spring of spring constant 200 N m^(-1) as shown in .the area of cross section of the cylinder is 20.0 cm^(2) . initially, the spring is at its natural length and the temperature of the gas is 300K at its natural length. the atmosphere pressure is 100 kPa. the gas is heated slowly for some time by means of an electric heater so as to move the position up through 10 cm. find (a) the work done by the gas (b) the final temperature of the gas and (c ) the heat supplied by the heater.

A frictionless gas-filled cylinder is fitted with a movable piston, as shown in the figure. The block resting on the top of the piston determines the constant pressure that the gas has. The height his 0.120 m when the temperature is 273 K and increases as the temperature increases. What is the value of h when the temperature reaches 318 K?

A cylindrical tube of uniform cross-sectional area A is fitted with two air tight frictionless pistons. The pistons are connected to each other by a metallic wire. Initially the pressure of the gas is P_0 and temperature is T_0 , atmospheric pressure is also P_0 . Now the temperature of the gas is increased to 2T_0 , the tension in the wire will be

A cylindrical tube of uniform cross-sectional area A is fitted with two air tight frictionless pistons. The pistons are connected to each other by a metallic wire. Initially the pressure of the gas is P_0 and temperature is T_0 , atmospheric pressure is also P_0 . Now the temperature of the gas is increased to 2T_0 , the tension in the wire will be

An ideal gas is enclosed in a cyclinder with a movable piston on top. The piston has mass of 8000g and an area of 5.00cm^2 and is free to slide up and down, keeping the pressure of the gas constant. How much work is done as the temperature of 0.200mol of the gas is raised from 200^@C to 300^@C ?