The translational kinetic energy of gas molecules for one mole of the gas is equal to

$2\, kg$ 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?

One kg of a diatomic gas is at a pressure of $8 \times 10^4 \ N/m^2$. The density of the gas is $4 \ kg/m^3$. What is the energy of the gas due to its thermal motion?

If the average translational kinetic energy of a molecule in a gas is equal to the kinetic energy of an electron accelerating from rest through $10 \,V$, then the temperature of the gas molecule is (Boltzmann constant $= 1.38 \times 10^{-23} \,JK^{-1}$)

The average force applied on the walls of a closed container depends on temperature $(T)$ as ($T$ is the temperature of an ideal gas).

The relation between the gas pressure $P$ and average kinetic energy per unit volume $E$ is