A mixturc of \( \mathrm{FeO} \) and \( \mathrm{Fe}_{2} \mathrm{O}_{3} \) is completely reacted w...

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A mixturc of \( \mathrm{FeO} \) and \( \mathrm{Fe}_{2} \mathrm{O}_{3} \) is completely reacted with \( 100 \mathrm{~mL}^{2} \) of \( 0.25 \mathrm{M} \) acidified \( \mathrm{KMnO}_{4} \) solution. The resultant solution was then titrated with \( \mathrm{Zn} \) dust, which converted \( \mathrm{Fe}^{3+} \) of the solution to \( \mathrm{Fe}^{2+} \). The \( \mathrm{Fe}^{2+} \) required \( 1000 \mathrm{~mL} \) of \( 0.10 \mathrm{M} \mathrm{K}_{2} \mathrm{Cr}_{2} \mathrm{O}_{7} \) solution. Find out the mass \( \% \mathrm{Fe}_{2} \mathrm{O}_{3} \) in the mixture.
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