The rate of diffusion of a gas is directly proportional to which of the following?

$A$ container consists of a mixture of $28 \ g \ N_2$,$8 \ g \ He$,and $40 \ g \ Ne$ at $25^{\circ} C$. If the total pressure exerted by the gaseous mixture is $20 \ bar$,what is the partial pressure exerted by $N_2$ (in $bar$)?

For the diffusion of a gas at pressure $P$,the rate of diffusion is expressed by :

The rate of diffusion of two gases $x$ and $y$ is $10 \, mL/s$ and $40 \, mL/s$ respectively,then the ratio of their molar masses $(Mw_x : Mw_y)$ is

Fill in the blanks:
$(1)$ The properties of gases were first measured by ......... .
$(2)$ The dipole-dipole interaction energy between stationary polar molecules is proportional to .......... .
$(3)$ The interaction energy between rotating polar molecules is proportional to .......... .
$(4)$ The bond energy of a hydrogen bond is about ......... $kJ \ mol^{-1}$.

The rate of diffusion of methane $(CH_4)$ at a given temperature is twice that of gas $X$. The molecular weight of gas $X$ is: