The average kinetic energy of a gas at $-23^{\circ}C$ and $75 \, cm$ pressure is $5 \times 10^{-14} \, erg$ for $H_2$. The mean kinetic energy of $O_2$ at $227^{\circ}C$ and $150 \, cm$ pressure will be:

Consider a gas with $n$ molecules. The average number of molecules moving in a fixed direction is ..........

$A$ gas at a pressure ${P_0}$ is contained in a vessel. If the masses of all the molecules are halved and their speeds are doubled,the resulting pressure $P$ will be equal to:

$A$ vessel contains a mixture of hydrogen and oxygen gases in the ratio of their masses equal to $1: 5$. The ratio of mean kinetic energies of the two gases is

The internal energy of air in a $4 \ m \times 4 \ m \times 3 \ m$ sized room at $1$ atmospheric pressure will be . . . . . . $\times 10^6 \ J$. (Consider air as a diatomic molecule)

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: