The average kinetic energy of $H_2$ molecules at $300 \ K$ is $E$. At the same temperature,the average kinetic energy of an $O_2$ molecule is:

Absolute temperature can be calculated by

What is the pressure of hydrogen in a cylinder of volume $10 \text{ litre}$ if its total energy of translation is $7.5 \times 10^3 \text{ J}$?

Two gases $A$ and $B$ are contained in the same vessel which is at temperature $T$. The number of molecules of gas $A$ is $N$ and the mass of each molecule is $m$. The number of molecules of gas $B$ is $2N$ and the mass of each molecule is $2m$. If the mean square velocity of the $x$-component of velocity of gas $B$ is $v^2$ and the mean square velocity of the $x$-component of velocity of molecules of gas $A$ is $u_x^2$,then $\frac{u_x^2}{v^2}$ is:

The energy of a gas per litre is $300 \ J$. Then its pressure will be:

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: