Chemistry - Ideal Gas Question with Solution | TestHub

A gaseous mixture of two ideal gases X and Y, is placed in a container with a pinhole. The initial mass ratio of X to Y inside the container is 1 : 8. If the initial mass ratio of the gases effusing out through the pinhole is observed to be ${\mathrm{W}}_{\mathrm{X}}^{\prime }:{\mathrm{W}}_{\mathrm{y}}^{\prime }=1:4$, what is the ratio of the collision frequency of gas X molecules with each other $\left({\mathrm{Z}}_{\mathrm{XX}}\right)$ to the collision frequency of gas Y molecules with each other $\left({\mathrm{Z}}_{\mathrm{YY}}\right)$ inside the initial container ? (Assume the collision diameters of X and Y are identical) :