J.R. S. answered 04/10/24
Ph.D. University Professor with 10+ years Tutoring Experience
Cr2O72- ==> Cr3+ unbalanced reduction reaction
Cr2O72- ==> 2Cr3+ + 7H2O .. balanced for Cr and O
Cr2O72- + 14H2O ==> 2Cr3+ + 7H2O + 14OH- .. balanced for Cr, O and H by adding base (OH-)
Cr2O72- + 14H2O + 6e- ==> 2Cr3+ + 7H2O + 14OH- .. balanced for mass and charge = balanced eq.
I2 ==> IO3- unbalanced oxidation reaction
I2 + 6H2O ==> 2 IO3- .. balanced for I and O
I2 + 6H2O + 12 OH- ==> 2 IO3- + 12H2O .. balanced for I, O and H by adding base (OH-)
I2 + 6H2O + 12 OH- ==> 2 IO3- + 12H2O + 10e- .. balanced for mass and charge = balanced eq.
In order to equalize the electrons, multiply reduction reaction by 5 and oxidation reaction by 3. Then add the two reactions and combine/cancel like terms to end up with the final balanced redox equation.
5Cr2O72- + 70H2O + 30e- ==> 10Cr3+ + 35H2O + 70 OH-
3 I2 + 18H2O + 36 OH- ==> 6 IO3- + 36H2O + 30e-
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5Cr2O72- + 17H2O + 3 I2 ==> 10Cr3+ + 34 OH- + 6 IO3- ... BALANCED REDOX EQ.

J.R. S.
04/10/24