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JEE Advanced 2019 Paper 2 · Chemistry · Redox Reactions and Titrations · hard

A 0.851 g mixture of ferrous oxalate FeC2O4 and ferric oxalate Fe2(C2O4)3 requires exactly 30.0 mL of 0.100 M KMnO4 for complete oxidation in acidic…

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A 0.851 g0.851\ \mathrm{g} mixture of ferrous oxalate FeC2O4\mathrm{FeC_2O_4} and ferric oxalate Fe2(C2O4)3\mathrm{Fe_2(C_2O_4)_3} requires exactly 30.0 mL30.0\ \mathrm{mL} of 0.100 M KMnO40.100\ M\ \mathrm{KMnO_4} for complete oxidation in acidic medium (MnO4−→Mn2+\mathrm{MnO_4^-}\to\mathrm{Mn^{2+}}). Take atomic masses Fe=55.85\mathrm{Fe}=55.85, C=12.01\mathrm{C}=12.01, O=16.00\mathrm{O}=16.00. The mass percentage of FeC2O4\mathrm{FeC_2O_4} in the mixture is ____. Give the answer correct to two decimal places.
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Answer: 33.96

Permanganate takes 55 electrons: moles =30.0×0.100=3.00=30.0\times0.100=3.00 mmol, so 15.015.0 mmol of electrons are consumed. Per formula unit, FeC2O4\mathrm{FeC_2O_4} loses 11 (Fe2+→Fe3+\mathrm{Fe^{2+}\to Fe^{3+}}) + 2+\,2 (oxalate to 2CO22\mathrm{CO_2}) =3=3 electrons, while Fe2(C2O4)3\mathrm{Fe_2(C_2O_4)_3} contains only Fe3+\mathrm{Fe^{3+}} and loses 3×2=63\times2=6 electrons. Let aa and bb be the millimoles of the two salts: 3a+6b=15.03a+6b=15.0 and 143.86a+375.74b=851143.86a+375.74b=851 (molar masses 143.86143.86 and 375.74375.74). From the first, a=5−2ba=5-2b, so 719.3−287.72b+375.74b=851719.3-287.72b+375.74b=851 giving b=1.496b=1.496 and a=2.009a=2.009. Mass of FeC2O4=2.009×143.86=289.0 mg\mathrm{FeC_2O_4}=2.009\times143.86=289.0\ \mathrm{mg}, which is 289.0/851×100=33.96%289.0/851\times100=33.96\%. Check: the ferric salt contributes 1.496×375.74=562.01.496\times375.74=562.0 mg, and 289.0+562.0=851289.0+562.0=851 mg, matching the sample mass.
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