At what temperature in $^\circ C$ will the kinetic energy of gas molecules be double the kinetic energy at $27^\circ C$?

The value of universal gas constant is $8.3\, J/mol/K$. The mean kinetic energy of $32\, g$ of oxygen at $-73^{\circ}C$ will be ...... $J$.

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 $=13.6\, g/cm^{3}$)

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

$A$ gas has volume $V$ and pressure $P$. The total translational kinetic energy of all the molecules of the gas is

Vessel $A$ is filled with hydrogen while vessel $B,$ whose volume is twice that of $A,$ is filled with the same mass of oxygen at the same temperature. The ratio of the mean kinetic energies of hydrogen and oxygen is