According to the kinetic theory of gases,the average kinetic energy of $1$ gram-mole of a gas is given by which of the following expressions?

$A$ cylinder has a capacity of $20 \, L$ and is filled with $H_2$ gas. The total average kinetic energy of the gas is $1.5 \times 10^5 \, J$. What is the pressure of the hydrogen gas?

The average kinetic energy of $H_2$ molecules at $300 \ K$ is $E$. At the same temperature,the average kinetic energy of an $O_2$ molecule is:

In an ideal gas, if the masses of all molecules are doubled and their speeds are halved, then the ratio of initial and final pressures of the gas is

On the basis of the kinetic theory of gases,the gas exerts pressure because its molecules:

$A$ box contains $N$ molecules at temperature $T_1$ and pressure $P_1$. If the number of molecules in the box is doubled but their total kinetic energy remains unchanged,what are the new pressure $P_2$ and temperature $T_2$?