Natural waters often contain relatively high levels of calcium ion,
\(\mathrm{Ca}^{2+},\) and hydrogen carbonate ion (bicarbonate),
\(\mathrm{HCO}_{3}^{-}\), from the leaching of minerals into the water. When
such water is used commercially or in the home, heating of the water leads to
the formation of solid calcium carbonate, \(\mathrm{CaCO}_{3}\) which forms a
deposit ("scale") on the interior of boilers, pipes, and other plumbing
fixtures.
$$\mathrm{Ca}\left(\mathrm{HCO}_{3}\right)_{2}(a q) \rightarrow
\mathrm{CaCO}_{3}(s)+\mathrm{CO}_{2}(g)+\mathrm{H}_{2} \mathrm{O}(l)$$
If a sample of well water contains \(2.0 \times 10^{-3} \mathrm{mg}\) of
\(\mathrm{Ca}\left(\mathrm{HCO}_{3}\right)_{2}\) per milliliter, what mass of
\(\mathrm{CaCO}_{3}\) scale would \(1.0 \mathrm{mL}\) of this water be capable of
depositing?