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Characteristics of Equilibrium Constant

What should b...

Question

What should be the value of $K_{c}$ for the reaction $2 S O_{2 (g)} + O_{2 (g)} ⇌ 2 S O_{3 (g)}$ , if the amount are $S O_{3} = 48$ g, $S O_{2} = 12.8$ g and $O_{2} = 9.6$ g at equilibrium and the volume of the container is one litre?

64

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2.7

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30

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8.5

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Solution

The correct option is A $30$
$2 S O_{2} + O_{2} ⇌ 2 S O_{3} (g)$
$K_{e q}$ or $K_{C} = \frac{[S O_{3}]^{2}}{[S O_{2}]^{2} [O_{2}]}$
Number of moles of $S O_{2}$ at equilibrium= $\frac{12.8}{64} = 0.2$
Number of moles of $S O_{3}$ at equilibrium= $\frac{48}{80} = 0.6$
Number of moles of $O_{2}$ at equilibrium= $\frac{9.6}{32} = 0.3$
As volume is $1 L$
So, number of moles= concentration
$K_{C} = \frac{[0.6]^{2}}{[0.2]^{2} [0.3]} = 30$ .

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