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Q. One mole of $SO _{3}$ was placed in a two litre vessel at a certain temperature. The following equilibrium was established in the vessel
$SO _{3}( g ) \rightleftharpoons 2 SO _{2}( g )+ O _{2}( g )$
At equilibrium, the vessel was found to contain $0.5\, mol$ of $SO _{3}$. The value of $K$ would be

Equilibrium

Solution:

image

$K=\frac{\left[ SO _{2}\right]^{2}\left[ O _{2}\right]}{\left[ SO _{3}\right]^{2}}$

$=\frac{(0.5 / 2)^{2}(0.25 / 2)}{(0.5 / 2)^{2}}=0.125$