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Derivation of Kp and Kc

Hl was heated...

Question

Hl was heated in a closed tube at $440^{\circ} c$ till equilibrium is obtained. At this temperature $22 %$ of Hl was dissociated. The equilibrium constant for this dissociation will be

A

0.282

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B

0.0796

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C

0.0199

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D

1.99

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Solution

The correct option is C 0.0199
$2 H I ⇋ H_{2} + l_{2}$

$\begin{matrix} I n i t i a l n o o f m o l e s - & 2 m o l e s & 0 & 0 a t e q u i l i b r i u m & 2 m o l e s - 0.44 & 0.22 & 0.22 \end{matrix}$

$K_{c} = \frac{[H_{2}] [l_{2}]}{[H I]^{2}} = \frac{0.22 \times 0.22}{{1.56}^{2}} = 0.0199$

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