$X$ and $Y$ are two volatile liquids with molar weights of $10gmo{l}^{-1}$ and $40gmo{l}^{-1}$ respectively. Two cotton plugs, one soaked in $X$ and the other soaked in $Y$, are simultaneously placed at the ends of a tube of length $L=24$ cm, as shown in the figure.
The tube is filled with an inert gas at 1 atm pressure and a temperature of $300K$. Vapours of $X$ and $Y$ react to form a product whichh is first observed at a distance $d$cm from the plug soaked in $X$.
Take $X$ and $Y$ to have equal molecular diameters and assume ideal behaviour for the inert gas and two vapours.

The experimental value of $d$ is found to be smaller than the estimate obtained using Graham's law. This is due to

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