MCQ
$HI$ was heated in a closed tube at ${440\,^o}C$ till equilibrium is obtained. At this temperature $22\%$ of $HI$ was dissociated. The equilibrium constant for this dissociation will be
  • A
    $0.282$
  • B
    $0.0796$
  • $0.0199$
  • D
    $1.99$

Answer

Correct option: C.
$0.0199$
(c) $2HI$ $ \rightleftharpoons $ ${H_2} + {I_2}$

Initial conc. $2$ moles $0\,\,\,\, 0$

at equilibrium $\frac{{22}}{{100}} \times 2$       $0.22\,\,\,\,\, 0.22$

$ = 2 - 0.44 = 1.56$

$K = \frac{{[{H_2}]\,\,[{I_2}]}}{{{{[HI]}^2}}} = \frac{{0.22 \times 0.22}}{{{{[1.56]}^2}}} = 0.0199$.

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