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Reaction Quotient

At 473 K, p...

Question

At $473 K$ , partially dissociated vapours of $P C l_{5}$ are 62 times as heavy as $H_{2}$ . Percentage degree of dissociation of $P C l_{5}$ is X. 100X is_________.

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Solution

$P C l_{5} ⇌ P C l_{3} + C l_{2}$
$100$
$1 - α α α$
$\frac{1}{N o r m a l m o l a r m a s s} \propto p a r t i c l e s b e f o r e d i s s o c i a t i o n$
$\frac{1}{E x p . m o l a r m a s s} \propto p a r t i c l e s a f t e r d i s s o c i a t i o n$
$∴ \frac{N o r m a l m o l a r m a s s}{E x p . m o l a r m a s s} = \frac{P a r t i c l e s a f t e r d i s s o c i a t i o n}{P a r t i c l e s b e f o r e d i s s o c i a t i o n} = 1 + α$
$∵$ Exp. molar mass $= 62 \times$ molar mass of $H_{2} = 62 \times 2$
or $\frac{208.5}{62 \times 2} = 1 + α$
$∴ α = 0.6814$ or 68.14%

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