A cylinder of length `42cm` is divided into chambers of equal volumes and each half contains a gas of equal mass at temperature `27^(@)C`. The separator is a frictionless piston of insulating material. Calculate the distance by which the piston will be displacement if the temperature of one half is increaded to `57^(@)C`.

A masslesss piston divides a closed thermallyy insulated cylinder into two equal parts. One part contains M = 28 g of nitrogen. At this temperature, one-third of molecules are dissociated into atoms and the other part is evacuated. The piston is released and the gas fills the whole volume of the cylinder at temperature T_(0) . Then, the piston is slowly displaced back to its initial position. calculate the increases in internal energy of the gas. Neglect further dissociation of molecules during, the motion of the piston.

A masslesss piston divides a closed thermallyy insulated cylinder into two equal parts. One part contains M = 28 g of nitrogen. At this temperature, one-third of molecules are dissociated into atoms and the other part is evacuated. The piston is released and the gas fills the whole volume of the cylinder at temperature T_(0) . Then, the piston is slowly displaced back to its initial position. calculate the increases in internal energy of the gas. Neglect further dissociation of molecules during, the motion of the piston.

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 cylinder with a movable piston contains 3 moles of hydrogen at constant temperature and pressrue. The walls of a cylinder are made up of a heat insulator and the piston is insulated by having a pile of sand on it By what factor does the pressure of a gas increases if the gas is compressed to half its original volume ?

A piston of mass m divides a cylinder containing gas into two equal parts. Suppose the piston is displaced to the left to a distance x and let go Fig. Assuming the process to take place at a constant temperature, find the frequency of the piston's oscillations.

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.