A container has N molecules at absolute temperature T. If the number of molecules is doubled but kinetic energy in box remains the same as before, the absolute temperature of the gas is

A vessel contains N molecules of a gas at temperature T. Now the number of molecules is doubled, keeping the total energy in the vessel constant. The temperature of the gas is

At absolute zero temperature, the kinetic energy of the molecules

A sample of gas in a box is at pressure P_0 and temperature T_0 . If number of molecules is doubled and total kinetic energy of the gas is kept constant, then final temperature and pressure will be

A sample of gas in a box is at pressure P_0 and temperature T_0 . If number of molecules is doubled and total kinetic energy of the gas is kept constant, then final temperature and pressure will be

How does an average kinetic energy of gas molecules depends on the absolute temperature ?

Prove that the average kinetic energy of a molecule is proportional to the absolute temperature of the gas.