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  4. A vessel of one litre capacity containing 1 mole of SO3 is heated till a state of equilibrium is attained. 2SO3(g) leftharpoons 2SO2(g) + O2(g) At equilibrium, 0.6 moles of SO2 had formed. The value of equilibrium constant is

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Q. A vessel of one litre capacity containing $1$ mole of $SO_3$ is heated till a state of equilibrium is attained.
$2SO_{3(g)} \rightleftharpoons 2SO_{2(g)} + O_{2(g)}$
At equilibrium, $0.6 \,moles$ of $SO_2$ had formed. The value of equilibrium constant is

AIIMSAIIMS 2015Equilibrium

Solution:

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$\Rightarrow $ Equilibrium constant is given by :
$K=\frac{\left[SO_{2}\right]^{2}\left[O_{2}\right]}{\left[SO_{3}\right]^{2}}=\frac{\left(0.6\right)^{2}\left(0.3\right)}{\left(0.4\right)^{2}} $
$=0.675 =0.68$