The average kinetic energy of hydrogen molecules at $300\, K$ is $E$. At the same temperature,the average kinetic energy of oxygen molecules will be

Write the equation relating pressure,volume,and internal energy of an ideal gas.

If the number of hydrogen molecules is twice the number of oxygen molecules at the same temperature,what is the ratio of their total kinetic energies? (Hydrogen : Oxygen)

$A$ 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:

Number of molecules in a volume of $4\, cm^{3}$ of a perfect monoatomic gas at some temperature $T$ and at a pressure of $2\, cm$ of mercury is close to $?$
(Given,mean kinetic energy of a molecule (at $T$) is $4 \times 10^{-14}\, erg$,$g=980\, cm/s^{2}$,density of mercury $=13.6\, g/cm^{3}$)

The average kinetic energy of a gas molecule can be determined by knowing