Air is filled in a bottle and it is corked at `35^(@)C`. If the cork can come out at 3 atmospheric pressure, then upto what temperature should the bottle be heated to remove the cork ?

A vessel of capacity 400 cm^(3) contains hydrogen gas at 1 atm pressure at 7^(@)C . In order to expel 28.57 cm^(3) of the gas at the same pressure, to what temperature the vessel should be heated ?

The pressure of a gas at -173^(@) C is 1 atmosphere. Keeping the volume constant, to what temperature should the gas be heated so that its pressure becomes 2 atmosphere?

A litre of air at 27^(@)C is heated until both the volume and pressure are doubled. What is the temperature?

It is desired to increase the volume of 800 cm^(3) of a gas by 20% keeping the pressure constant. To what temperature should the gas be heated, if the initial temperature is 22^(@)C ?

A certain amount of gas is sealed in a glass flask at 1 atmosphere pressure and 20^(@)C . The flask can withstand upto a pressure of 2 atmosphere. Find the temperature to which gas can be heated so that the flask does not break.

Air is filled in a motor tube at 27^(@)C and at a pressure of 8 atmospheres.The tube suddenly bursts, then temperature of air is [Given gamma of air =1.5 ]

A steel tank containing air at 15 pressure at 15^(@)C is provided with a safety valve that will yield at a pressure of 30 atm. To what minimum temperature must the air be heated to blow the safety valve ?

Shows a cylindrical tube of radius 5cm and length 20cm. It is closed by a tight-fitting cork. The friction coefficient between the cork and the tube is 0.20. The tube contains an ideal gas at a pressure of 1atm and a temperature of 300K. The tube is slowly heated and it is found that the cork pops out when the temperature reaches 600K. Let dN denote the magnitude of the normal contact force exerted by a small length dl of the cork along the perphery (see the figure). Assuming that the temperature pf the gas is uniform at any instant, calculate(dN)/(dl).

A gas is filled in a vessel of volume V at 35^(@)C . To what temperature should it be heated in order that half of the gas may escape out?