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A hypothetical gaseous element having molecular formula $M_{x}$ may be changed to another gaseous allotrope having molecular formula $M_{y}$ at 310 K. In this act volume of the gas is contracted from 12 ml to a volume of 8 ml. The simplest possible molecular formula of the two allotropes is:

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$M_{5}$ and $M_{3}$

$M_{3}$ and $M_{5}$

$M_{1}$ and $M_{2}$

$M_{2}$ and $M_{3}$

answer is D.

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Detailed Solution

Here, in the reaction,

$M_{x} \to \frac{x}{y} M_{y}$

$12 -$

$- \frac{12 x}{y} = 18$

$\Rightarrow \frac{x}{y} = \frac{18}{12} = \frac{3}{2}$

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