Kinetic energy in $kJ$ of $280 \ g$ of $N_2$ at $27^{\circ} C$ is approximately $(R = 8.314 \ J \ mol^{-1} \ K^{-1})$

Give two unfair assumptions of the Kinetic Molecular Theory of gases. Justify them.

$A$ helium molecule is two times heavier than a hydrogen molecule at $298 \ K$. According to the kinetic theory,the average kinetic energy of helium at $298 \ K$ is

The mass of molecule $A$ is half the mass of molecule $B$. The $rms$ speed of $A$ is twice the $rms$ speed of $B$. If the number of molecules in samples of $A$ and $B$ are equal,what is the ratio of the pressures of samples $A$ and $B$ in separate containers of equal volume?

If the temperature increases from $20\,^oC$ to $40\,^oC$,by what factor does the average kinetic energy of neon atoms change?

For a fixed number of moles of a gas at constant volume,the pressure of the gas increases with an increase in temperature because: