How will you establish the relation between vapour density and molecular mass of a gas by applying Avogadros law?

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Solution

Vapour Density= $\frac{M a s s o f x v o l u m e o f g a s}{M a s s o f x v o l u m e o f H_{2}}$
Let $n$ be number of molecules in $x$ volume
$∴ V . D = \frac{M a s s o f n m o l e c u l e s o f g a s}{M a s s o f n m o l e c u l e s o f H_{2}} = \frac{m a s s o f 1 m o l e c u l e o f g a s}{m a s s o f 1 m o l e c u l e o f H_{2}}$
$= \frac{m a s s o f 1 m o l e c u l e o f g a s}{2 \times m a s s o f 1 a t o m o f h y d r o g e n}$

Relative Molecular Mass (RMM)= $\frac{m a s s o f 1 m o l e c u l e o f g a s}{m a s s o f 1 a t o m o f h y d r o g e n}$
$∴ V . D = \frac{R M M}{2}$ .

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