The parameter that remains the same for molecules of all gases at a given temperature is:

$A$ cylinder has a capacity of $20 \, L$ and is filled with $H_2$ gas. The total average kinetic energy of the gas is $1.5 \times 10^5 \, J$. What is the pressure of the hydrogen gas?

The internal energy of $4$ moles of a monoatomic gas at a temperature of $77^{\circ} C$ is ($R$ - Universal gas constant). (in $R$)

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 translational kinetic energy of the molecules of a gas at absolute temperature $T$ can be doubled by

If the $r.m.s.$ velocity of a gas is $v_{rms} = 1840 \ m/s$ and its density is $\rho = 8.99 \times 10^{-2} \ kg/m^3$,what is the pressure of the gas?