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Molarity

The degree of...

Question

The degree of dissociation of $H I$ at a particular temperature is $0.8$ . Calculate the volume of $2 M N a_{2} S_{2} O_{3}$ solution required to neutralise the iodine present in a equilibrium mixture of a reaction when $2$ mole each of $H_{2}$ and $I_{2}$ are heated in a closed vessel of $2$ litre capacity.

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Solution

$2 H I \to H_{2} + I_{2}$
$k_{c}$ = $\frac{α^{2}}{4 \times (1 - α)}$
$k_{c} = 4$
$I_{2} + H_{2} \to 2 H I$
$k_{c}^{1}$ = $\frac{(2 x)^{2}}{(2 - x)^{2}}$
$\frac{2 x}{2 - x} = \frac{1}{2}$
$x = \frac{2}{5}$
$n o o f e q u i v a l e n t o f N a_{2} S_{2} O_{3} = n o o f e q u i v a l e n t o f I_{2}$
$M_{1} V_{1} = M_{2} V_{2}$
$2 \times V = \frac{8 \times 2}{5}$
Volume = $1.6$ litres
$10 \times X = 10 \times 1.6$ = $16$

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