One method of reducing acid rain is "scrubbing" the combustion products before they are emitted from power plant smoke stacks. The process involves addition of an aqueous suspension of lime $(\mathrm{CaO})$ to the combustion chamber and stack, where the lime reacts with $\mathrm{SO}_{2}$ to give calcium sulfite $\left(\mathrm{CaSO}_{3}\right): \mathrm{CaO}(a q)+\mathrm{SO}_{2}(g) \longrightarrow \mathrm{CaSO}_{3}(a q)$
(a) How much lime (in grams) is needed to remove $1 \mathrm{~mol}$ of $\mathrm{SO}_{2} ?$
(b) How much lime (in kilograms) is needed to remove $1 \mathrm{~kg}$ of $\mathrm{SO}_{2} ?$