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Example · Example 17

Q.A 1.00 g1.00\ \text{g} sample of an iron ore, containing iron entirely as Fe2+\text{Fe}^{2+}, is dissolved and titrated against 0.0167 M K2Cr2O70.0167\ \text{M}\ \text{K}_2\text{Cr}_2\text{O}_7 solution, requiring 25.0 mL25.0\ \text{mL} for complete oxidation. Using Cr2O72−+6Fe2++14H+→2Cr3++6Fe3++7H2O\text{Cr}_2\text{O}_7^{2-} + 6\text{Fe}^{2+} + 14\text{H}^{+} \to 2\text{Cr}^{3+} + 6\text{Fe}^{3+} + 7\text{H}_2\text{O} and M(Fe)=56 g mol−1M(\text{Fe}) = 56\ \text{g mol}^{-1}, calculate the percentage of iron in the ore.

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Moles of K2Cr2O7\text{K}_2\text{Cr}_2\text{O}_7 used: 0.0167 mol L−1×0.0250 L=4.175×10−4 mol0.0167\ \text{mol L}^{-1} \times 0.0250\ \text{L} = 4.175\times10^{-4}\ \text{mol}. From Cr2O72−+6Fe2++14H+→2Cr3++6Fe3++7H2O\text{Cr}_2\text{O}_7^{2-} + 6\text{Fe}^{2+} + 14\text{H}^{+} \to 2\text{Cr}^{3+} + 6\text{Fe}^{3+} + 7\text{H}_2\text{O}, the mole ratio of Cr2O72−\text{Cr}_2\text{O}_7^{2-} to Fe2+\text{Fe}^{2+} is 1:61:6, so moles of Fe2+=6×4.175×10−4=2.505×10−3 mol\text{Fe}^{2+} = 6 \times 4.175\times10^{-4} = 2.505\times10^{-3}\ \text{mol}. Mass of iron $= 2.505\times10^{-3}\ \text{mol} \tim …

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