Find the value of $\frac{y . z}{x}$ , if the following molecules undergo dimerization:
I. $C l O_{3}$
II. $O F_{2}$
III. $G a H_{3}$
IV. $A l C l_{3}$
V. $I C l_{3}$
VI. $B e H_{2}$
VII. $N O_{2}$
$x$ : Number of molecules which are hypervalent in dimeric form
$y$ : Number of molecules with a complete octet in dimeric form
$z$ : Number of molecules which are hypovalent in dimeric form

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Solution

Points to remember:
$\Rightarrow$ Hypervalent: More than 8 $e^{-}$ in their valence shells.
$\Rightarrow$ hypovalent: less than 8 $e^{-}$ in their valence shells.
Number of molecules which are hypervalent in dimeric form (x) = $C l O_{3}$ , $I C l_{3}$
Number of molecules with a complete octet in dimeric form (y) = $N O_{2}, O F_{2} a n d G a H_{3}$
Number of molecules which are hypovalent in dimeric form (z) = $A l C l_{3}$ , $B e H_{2}$

So, $\frac{y \times z}{x} = \frac{3 \times 2}{2} = 3$

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