The mean kinetic energy of a gas at $300\, K$ is $100\, J.$ The mean energy of the gas at $450\, K$ is equal to ...... $J$

The number of molecules in one litre of an ideal gas at $300 \, K$ and $2$ atmospheric pressure with mean kinetic energy $2 \times 10^{-9} \, J$ per molecule is $.... \times 10^{11}$.

The internal energy of $4$ moles of a monoatomic gas at a temperature of $77^{\circ} C$ is ($R$ - Universal gas constant). (in $R$)

The pressure exerted by a gas is $P_0$. If the mass of the molecules is halved and their velocity is doubled,the pressure will become .......

At $...... ^\circ C$ temperature,the mean kinetic energy of ${O_2}$ molecules will be the same as that of ${H_2}$ molecules at $-73^\circ C$.

In an ideal gas at temperature $T,$ the average force that a molecule applies on the walls of a closed container depends on $T$ as $T^q$. $A$ good estimate for $q$ is