Potassium nitrate decomposes on heating, producing potassium oxide and gaseous nitrogen and oxygen:
$$
4 \mathrm{KNO}_{3}(s) \longrightarrow 2 \mathrm{~K}_{2} \mathrm{O}(s)+2 \mathrm{~N}_{2}(g)+5 \mathrm{O}_{2}(g)
$$
To produce $56.6 \mathrm{~kg}$ of oxygen, how many (a) moles of $\mathrm{KNO}_{3}$ and
(b) grams of $\mathrm{KNO}_{3}$ must be heated?