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Why does balancing the oxidation of dichromate(VI) to chromium(III) require six iron atoms?

The problem: Balance the following chemical equation using oxidation numbers: $$ \ce{Fe^2+ + Cr_2O_7^2- -> Fe^3+ + Cr^3+} $$ What I have tried: $$\ce{\overset{+II}{Fe}^{2+}(aq) + \overset{+VI}{Cr}...
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Why does balancing the reduction of dichromate(VI) to chromium(III) require four water molecules among the products?

Problem Balance the following chemical equation using oxidation numbers: $$\ce{Cr2O7^2–(aq) + HNO2(aq) –> Cr^3+(aq) + NO3–(aq)}$$ Solution (in Swedish) $$\ce{\overset{+VI}{Cr}_2O7^2–(aq) + H\...
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