The kinetic energy of translation of the molecules in $50 \text{ g}$ of $\text{CO}_2$ gas at $17^{\circ}\text{C}$ is: (in $\text{ J}$)

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

The kinetic energy of $1$ mole of $He$ gas at $27^{\circ}C$ is .... $J$.

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 $.... \times 10^{11}$.

$A$ vessel of volume $10 \text{ liters}$ is filled with $H_2$ gas. The total average translational kinetic energy of its molecules is $4.5 \times 10^5 \text{ J}$. The pressure of hydrogen in the vessel is

Increase in temperature of a gas filled in a container would lead to