In the "contact process" for making sulfuric acid, sulfur is first burned to
\(\mathrm{SO}_{2}\). Environmental restrictions allow no more than \(0.30 \%\) of
this \(\mathrm{SO}_{2}\) to be vented to the atmosphere.
(a) If enough sulfur is burned in a plant to produce \(1.80 \times 10^{6}
\mathrm{kg}\) of pure, anhydrous \(\mathrm{H}_{2} \mathrm{SO}_{4}\) per day, what
is the maximum amount of \(\mathrm{SO}_{2}\) that is allowed to be exhausted to
the atmosphere?
(b) One way to prevent any \(\mathrm{SO}_{2}\) from reaching the atmosphere is
to "scrub" the exhaust gases with slaked lime, \(\mathrm{Ca}(\mathrm{OH})_{2}\)
\(\mathrm{Ca}(\mathrm{OH})_{2}(\mathrm{s})+\mathrm{SO}_{2}(\mathrm{g})
\rightarrow \mathrm{CaSO}_{3}(\mathrm{s})+\mathrm{H}_{2} \mathrm{O}(\ell)\) $$
2 \mathrm{CaSO}_{3}(\mathrm{s})+\mathrm{O}_{2}(\mathrm{g}) \rightarrow 2
\mathrm{CaSO}_{4}(\mathrm{s}) $$ What mass of \(\mathrm{Ca}(\mathrm{OH})_{2}\)
(in kilograms) is needed to remove the \(\mathrm{SO}_{2}\) calculated in part
(a)?