The oxidation of sulfur dioxide to give sulfur trioxide is an important step in the industrial process for the synthesis of sulfuric acid. Write the equilibrium equation for each of the following reactions:
(a) $2 \mathrm{SO}_{2}(g)+\mathrm{O}_{2}(g) \rightleftharpoons 2 \mathrm{SO}_{3}(g) \quad$ (b) $2 \mathrm{SO}_{3}(g) \Longrightarrow 2 \mathrm{SO}_{2}(g)+\mathrm{O}_{2}(g)$