Hard water contains \(\mathrm{Ca}^{2+}, \mathrm{Mg}^{2+},\) and
\(\mathrm{Fe}^{2+},\) which interfere with the action of soap and leave an
insoluble coating on the insides of containers and pipes when heated. Water
softeners replace these ions with \(\mathrm{Na}^{+}\).
(a) If \(1500 \mathrm{~L}\) of hard water contains \(0.020 \mathrm{M}
\mathrm{Ca}^{2+}\) and \(0.0040 \mathrm{M} \mathrm{Mg}^{2+}\), how many moles of
\(\mathrm{Na}^{+}\) are needed to replace these ions?
(b) If the sodium is added to the water softener in the form of
\(\mathrm{NaCl}\), how many grams of sodium chloride are needed?