J.R. S. answered 04/09/24
Ph.D. University Professor with 10+ years Tutoring Experience
It looks like you have posted several questions dealing with balancing redox reactions. This one is in acidic solution, so follow these steps for others that are also in acidic solution.
Cr2O72-(aq) ==> Cr3+(aq) ... unbalanced reduction reaction (Cr goes from +6 to +3 so is reduced)
Cr2O72-(aq) ==> 2Cr3+(aq) + 7H2O(l) .. balanced for Cr and O
Cr2O72-(aq) + 14H+(aq) ==> 2Cr3+(aq) + 7H2O(l) .. balanced for Cr, O and H using acid (H+)
Cr2O72-(aq) + 14H+(aq) + 6e- ==> 2Cr3+(aq) + 7H2O(l) .. balanced for mass and charge = balanced eq.
Pb2+(aq) ==> PbO2(s) ... unbalanced oxidation reaction (Pb goes from +2 to +4 so is oxidized)
Pb2+(aq) + 2H2O(l) ==> PbO2(s) .. balanced for Pb and O
Pb2+(aq) + 2H2O(l) ==> PbO2(s) + 4H+(aq) .. balanced for Pb, O and H using acid (H+)
Pb2+(aq) + 2H2O(l) ==> PbO2(s) + 4H+(aq) + 2e- .. balanced for mass and charge = balanced eq.
Multiply the oxidation reaction by 3 to equalize electrons and then add the two reactions together:
3Pb2+(aq) + 6H2O(l) ==> 3PbO2(s) + 12H+(aq) + 6e-
Cr2O72-(aq) + 14H+(aq) + 6e- ==> 2Cr3+(aq) + 7H2O(l)
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3Pb2+(aq) + 6H2O(l) + Cr2O72-(aq) +14H+(aq) + 6e- => 3PbO2(s) +12H+(aq) + 6e- + 2Cr3+(aq) + 7H2O(l)
Combine/cancel like terms to end up with final balanced equation:
3Pb2+(aq) + Cr2O72-(aq) + 2H+(aq) ==> 3PbO2(s) + 2Cr3+(aq) + H2O(l) BALANCED REDOX EQ