One mole of S O_3 was placed in a litre reaction vessel at a cert… - Vidyadip

MCQ

One mole of $S{O_3}$ was placed in a litre reaction vessel at a certain temperature. The following equilibrium was established $2S{O_3}$ $ \rightleftharpoons $ $2S{O_2} + {O_2}$ At equilibrium $0.6$ moles of $S{O_2}$ were formed. The equilibrium constant of the reaction will be

A
$0.36$
B
$0.45$
C
$0.54$
✓
$0.675$

✓

Answer

Correct option: D.

$0.675$

(d) $\mathop {2S{O_3}}\limits_{(1 - 0.6)} $ $ \rightleftharpoons $ $\mathop {2S{O_2}}\limits_{(0.6)} + \mathop {{O_2}}\limits_{(0.3)} $

${K_c} = \frac{{{{[S{O_2}]}^2}[{O_2}]}}{{[S{O_3}]}} = \frac{{0.6 \times 0.6 \times 0.3}}{{0.4 \times 0.4}} = 0.675$.

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