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

If $E$ is the kinetic energy per mole of an ideal gas and $T$ is the absolute temperature,then the universal gas constant is given as

The kinetic energy of one mole of a gas at $300 \, K$ is $E$. If the kinetic energy at $400 \, K$ is $E'$,then what is the ratio $E'/E$?

$A$ gas at pressure $P_0$ is contained in a vessel. If the masses of all the molecules are halved and their velocities are doubled,the resulting pressure would be equal to

The average kinetic energy of thermal neutrons is of the order of (Boltzmann's constant $K_B = 8 \times 10^{-5} \text{ eV/K}$ and room temperature $T \approx 300 \text{ K}$)

The molecules of air in the room where you are sitting are all experiencing the force of gravity tending to bring them down. The molecules are also frequently and randomly undergoing collisions,which tend to oppose the effect of the fall under gravity. The density of air is nearly uniform throughout the room because: