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

$2\, kg$ of a monoatomic gas is at a pressure of $4\times10^4\, N/m^2$. The density of the gas is $8\, kg/m^3$. What is the order of energy of the gas due to its thermal motion?

Mean kinetic energy (or average energy) per gram molecule of a monoatomic gas is given by

At what temperature does the average translational kinetic energy of a molecule in a gas become equal to the kinetic energy of an electron accelerated from rest through a potential difference of $V$ volt? ($N=$ Avogadro number,$R=$ gas constant,$e=$ electronic charge)

At what temperature in $^\circ C$ is the average molecular kinetic energy of any gas double that of its value at $20^\circ C$?

The number of gas molecules striking per second per square metre of the top surface of a table placed in a room at $20^{\circ} C$ and $1$ atmospheric pressure is of the order of (given $k_{B} = 1.4 \times 10^{-23} \, J K^{-1}$ and the average mass of an air molecule is $m = 5 \times 10^{-27} \, kg$).