$SO_{2}$ reacts with $O_{2}$ to produce $SO_{3}$
$2SO_{2}(g) + O_{2}(g) \rightleftharpoons 2SO_{3}(g)$
A mixture of $1.10~mol$ of $SO_{2}(g)$ and $1.95~mol$ of $O_{2}(g)$ was placed into a $1~dm^{3}$ container at a certain temperature.
When the equilibrium was reached, the mixture contained $0.18~mol$ of $SO_{2}(g)$.
What is the value of the equilibrium constant, $K$, for this reaction?