Paragraph: $\mathbf{X}$ and $\mathbf{Y}$ are two volatile liquids with molar weights of $10 \mathrm{~g}…
Paragraph:
$\mathbf{X}$ and $\mathbf{Y}$ are two volatile liquids with molar weights of $10 \mathrm{~g} \mathrm{~mol}^{-1}$ and $40 \mathrm{~g} \mathrm{~mol}^{-1}$ respectively. Two cotton plugs, one soaked in $\mathbf{X}$ and the other soaked in $\mathbf{Y}$, are simultaneously placed at the ends of a tube of length $L=24 \mathrm{~cm}$, as shown in the figure. The tube is filled with an inert gas at $1$ atmosphere pressure and a temperature of $300 \mathrm{~K}$. Vapours of $\mathbf{X}$ and $\mathbf{Y}$ react to form a product which is first observed at a distance $\mathbf{d} \mathrm{~cm}$ from the plug soaked in $\mathbf{X}$. Take $\mathbf{X}$ and $\mathbf{Y}$ to have equal molecular diameters and assume ideal behaviour for the inert gas and the two vapours.
Question:
The value of $\mathbf{d}$ in $\mathbf{c m}$ (shown in the figure), as estimated from Graham's law, is
