Comprehension VII In the presence of fluoride ion, \( \mathrm{Mn}^{2+} \) can be titrated with \...

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Comprehension VII
In the presence of fluoride ion, \( \mathrm{Mn}^{2+} \) can be titrated with \( \mathrm{MnO}_{4}^{-} \), where both reactants being converted to a complex of Mn(III). A \( 0.458 \mathrm{~g} \) of sample containing \( \mathrm{Mn}_{3} \mathrm{O}_{4} \) was dissolved and all manganese was converted to \( \mathrm{Mn}^{2+} \). Titration in the presence of fluoride ion consumed \( 30.0 \mathrm{ml} \) of \( \mathrm{KMnO}_{4} \) that was \( 0.125 \mathrm{~N} \) against oxalate. \( (\mathrm{Mn}=55) \)
What is the percentage of \( \mathrm{Mn}_{3} \mathrm{O}_{4} \) in the sample?
(a) \( 50.00 \% \)
(b) \( 40.00 \% \)
(c) \( 62.50 \% \)
(d) \( 75.00 \% \)
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