Manganese is derived from pyrolusite ore, an impure manganese dioxide. In the procedure used to analyze a pyrolusite ore for its MnO₂ content, a 0.533 g sample is treated with 1.651 g oxalic acid (H₂C₂O₄ · 2 H₂O) in an acidic medium. Following this reaction, the excess oxalic acid is titrated with 0.1000 M KMnO₄, 30.06 mL being required. What is the mass percent MnO₂ in the ore?

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H₂C2O4 + MnO₂ + H+ H₂C₂O4 + Mn²+ + H₂O + CO₂ (not balanced) balanced) MnO4+H+→→→→→→→ Mn²+ + H₂O + CO₂ (not