Equilibrium Ques 36
36. Given that the equilibrium constant for the reaction $2 \mathrm{SO}_2(\mathrm{~g})+\mathrm{O}_2(\mathrm{~g}) \rightleftharpoons 2 \mathrm{SO}_3(\mathrm{~g})$ has a value of $278$ at a particular temperature. What is the value of the equilibrium constant for the following reaction at the same temperature?
$ \mathrm{SO}_3(\mathrm{~g}) \rightleftharpoons \mathrm{SO}_2(\mathrm{~g})+\frac{1}{2} \mathrm{O}_2(\mathrm{~g}) $
[2012 M]
(a) $1.8 \times 10^{-3}$
(b) $3.6 \times 10^{-3}$
(c) $6.0 \times 10^{-2}$
(d) $1.3 \times 10^{-5}$
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Answer:
Correct Answer: 36.(c)
Solution: (c)
$2 \mathrm{SO}_2+\mathrm{O}_2 \rightleftharpoons 2 \mathrm{SO}_3 K=278 \text { (given) } $
$\mathrm{SO}_3 \rightleftharpoons \mathrm{SO}_2+\frac{1}{2} \mathrm{O}_2 \quad K^{\prime}=\left(\sqrt{\frac{1}{K}}\right) $
$=\sqrt{\frac{1}{278}}=6 \times 10^{-2} $
BETA
