A solution contains one or more of the following ions: \(\mathrm{Hg}_{2}^{2+}\),
\(\mathrm{Ba}^{2+},\) and \(\mathrm{Fe}^{2+} .\) When you add potassium chloride
to the solution, a precipitate forms. The precipitate is filtered off, and you
add potassium sulfate to the remaining solution, producing no precipitate.
When you add potassium carbonate to the remaining solution, a precipitate
forms. Which ions were present in the original solution? Write net ionic
equations for the formation of each of the precipitates observed.