Limonite is an ore of iron that contains $2 \mathrm{Fe}_{2} \mathrm{O}_{3} \cdot 3 \mathrm{H}_{2} \mathrm{O}$. A $0.5166-\mathrm{g}$ sample of limonite is dissolved in acid and treated so that all the iron is converted to ferrous ions, $\mathrm{Fe}^{2+}$. This sample requires $42.96 \mathrm{~mL}$ of $0.02130 \mathrm{M}$ sodium dichromate solution, $\mathrm{Na}_{2} \mathrm{Cr}_{2} \mathrm{O}_{7}$, for titration. $\mathrm{Fe}^{2+}$ is oxidized to $\mathrm{Fe}^{3+}$, and $\mathrm{Cr}_{2} \mathrm{O}_{7}^{2-}$ is reduced to $\mathrm{Cr}^{3+}$. What is the percent iron in the limonite? If your answer had been over $100 \%$ limonite, what conclusion could you make, presuming that the analytical data are correct?