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Bond Length

Assuming cova...

Question

Assuming covalent radii to be additive property; The benzene ring is regular hexagon and each $C - I$ bond lies on a line passing through the centre of hexagon. The $C - C$ bond length in $C_{6} H_{6}$ is $1.40 ˚ A$ and covalent radius of iodine and carbon atom are $1.33 ˚ A$ and $0.77 ˚ A$ . Also neglect different overlapping effect.
The sum of iodine-iodine distances in $o -, m -, p -$ di-iodobenzene is $X$ $˚ A$ . Value of $100 X$ is:

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Solution

$s i n 30 = \frac{y}{C - I b o n d l e n g t h}$
$0.5 = \frac{y}{0.77 + 1.33}$
$y = 1.05 A^{0}$ .
$X = C - C$ bond length + $2 y = 1.40 + 2 (1.05) = 3.50$ .
$100 X = 3.50 \times 100 = 350$ .

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