$2\, kg$ 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?

$A$ cylinder of capacity $20 \, L$ is filled with $H_2$ gas. The total average translational kinetic energy of the molecules is $1.5 \times 10^5 \, J$. Find the pressure of hydrogen in the cylinder.

$Assertion$: The total translational kinetic energy of all the molecules of a given mass of an ideal gas is $1.5$ times the product of its pressure and its volume.
$Reason$: The molecules of a gas collide with each other and the velocities of the molecules change due to the collision.

Molecular motion shows itself as

On colliding in a closed container,the gas molecules:

Write the equation of pressure of an ideal gas in terms of its density.