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Relationship between Vapor Density & Relative Molecular Mass

Under the sam...

Question

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

A

4 : 1

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B

1 : 2

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C

16 : 1

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D

1 : 16

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Solution

The correct option is A $4 : 1$
$R a t e o f d i f f u s i o n \propto \frac{1}{\sqrt{d e n s i t y}}$

$\frac{r_{1}}{r_{2}} = \frac{{\sqrt{d}}_{2}}{{\sqrt{d}}_{1}}$

$\frac{1}{2} = \sqrt{\frac{d_{2}}{d_{1}}}$

$\frac{1}{4} = \frac{d_{2}}{d_{1}}$

$d_{1} : d_{2} = 4 : 1$

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