Both calcium chloride and sodium chloride are used to melt ice and snow on
roads in the winter. A certain company was marketing a mixture of these two
compounds for this purpose. A chemist, wanting to analyze the mixture,
dissolved \(2.463 \mathrm{~g}\) of it in water and precipitated calcium oxalate
by adding sodium oxalate, \(\mathrm{Na}_{2} \mathrm{C}_{2} \mathrm{O}_{4}\) The
calcium oxalate was carefully filtered from the solution, dissolved in
sulfuric acid, and titrated with 0.1000 \(M \mathrm{KMnO}_{4}\) solution. The
reaction that occurred was
\(6 \mathrm{H}^{+}+5 \mathrm{H}_{2} \mathrm{C}_{2} \mathrm{O}_{4}+2
\mathrm{MnO}_{4}^{-} \longrightarrow\)
$$
10 \mathrm{CO}_{2}+2 \mathrm{Mn}^{2+}+8 \mathrm{H}_{2} \mathrm{O}
$$
The titration required \(21.62 \mathrm{~mL}\) of the \(\mathrm{KMnO}_{4}\)
solution.
(a) How many moles of \(\mathrm{C}_{2} \mathrm{O}_{4}^{2-}\) were present in the
calcium oxalate precipitate?
(b) How many grams of calcium chloride were in the original \(2.463
\mathrm{~g}\) sample?
(c) What was the percentage by mass of calcium chloride in the sample?