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 \(\mathrm{Na}^{+} .\) Keep in mind that charge
balance must be maintained. (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 Nat 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?