A uniform tube closed at both ends with a light piston in the middle contains a gas at `27^(@)C` .If one part is heated to `127^(@)C` the piston moves by `10cm` .Then the length of the tube containing gas at higher temperature is

A closed hollow insulated cylinder is filled with gas at 0^(@)C and also contains an insulated piston of negligible weight and negligible thickness at the middle point. The gas on one side of the piston is heated to 100^(@)C . If the piston moves 5 cm the length of the hollow cylinder is

The temperature of a gas in a closed container is 27^(@) C. If the temperature is raised to 327^(@) C the pressure exerted is :

A uniform tube of volume V contains an ideal monatomic gas at a uniform pressure P the temperature of the gas varies linearly along te length of the tube ad T and 2 T are the temperature at the ends.

A gas is filled a container at 27^(@)C . On increasing the temperature to 127^(@)C , 1 litre (having (1)/(4) th mass) of the gas escape out of the container. Calculate the volume of the container.

A cylinder closed at both ends is separated into two equal parts (45 cm each) by a piston impermeable to heat. Both the parts contain the same masses of gas at a temperature of 300 K and a pressure of 1 atm. If now the gas in one of parts is heated such that the piston shifts by 5 cm, then the temperature and the pressure of the gas in this part after heating is

A gas in an open container is heated from 27^(@)C to 127^(@)C The fraction of the original amount of gas remaining in the container will be .

Figure-2.47 shows a cylindrical container of radius 5cm and a piston is fitted in it to enclose a length of 20 cm in it.The cylinder contains an ideal gas at a pressure of 1 atmosphere and 300 K temperature.The cylinder is slowly heated and it is found that the piston starts displacing when the gas temperature reaches 600 K. It is given that the friction coefficient between the piston sidesand the container wall is 0.2. Find the normal force acting between piston sides and the container wall per unit length ofits circumference.