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Under the same conditions the rates of diffusion of 2 gases are in the ratio 1:4, the ratio of their vapour densities is

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1:2

16:1

1:16

2:1

answer is C.

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Detailed Solution

$\frac{r_{1}}{r_{2}} = \sqrt{\frac{V \cdot D_{2}}{V \cdot D_{1}}} \Rightarrow \frac{1}{4} = \sqrt{\frac{{VD}_{2}}{{VD}_{1}}} \Rightarrow \frac{{VD}_{2}}{{VD}_{1}} = \frac{1}{16} \Rightarrow \frac{{VD}_{1}}{{VD}_{2}} = 16 : 1$

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