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Example · Example 9

Q.Balance the following ionic equation in acidic medium by the ion-electron (half-reaction) method, showing both half-reactions separately: MnO4−+C2O42−→Mn2++CO2\text{MnO}_4^{-} + \text{C}_2\text{O}_4^{2-} \to \text{Mn}^{2+} + \text{CO}_2.

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Reduction half: MnO4−→Mn2+\text{MnO}_4^{-}\to\text{Mn}^{2+}; balance O with 4H2O4\text{H}_2\text{O}, then H with 8H+8\text{H}^+: MnO4−+8H+→Mn2++4H2O\text{MnO}_4^{-}+8\text{H}^{+}\to\text{Mn}^{2+}+4\text{H}_2\text{O}; balance charge (+7+7 left vs +2+2 right) with 5e−5e^{-} added to the left: MnO4−+8H++5e−→Mn2++4H2O\text{MnO}_4^{-}+8\text{H}^{+}+5e^{-}\to\text{Mn}^{2+}+4\text{H}_2\text{O}.\n\nOxidation half: C2O42−→2CO2\text{C}_2\text{O}_4^{2-}\to2\text{CO}_2 (C already balanced 2=2, O already balanced 4=4); balance charge (−2-2 left vs 00 right) with 2e−2e^{-} added to the right: C2O42−→2CO2+2e−\text{C}_2\text{O}_4^{2-}\to2\text{CO}_2+2e^{-}.\n\nCombine: LCM of 5 and 2 electrons is 10; multiply the reduction half by 2 and the oxidation half by 5, then add and cancel the 10e−10e^-: $2\text{MnO}_4^{-} + 5\text{C}_2\text{O}_4^{2-} + 16\text{H}^{+} \to 2 …

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