J.R. S. answered 04/15/23
Ph.D. University Professor with 10+ years Tutoring Experience
Half reactions:
IO3-(aq) ==> IO-(aq) .. unbalanced reduction reaction
IO3-(aq) ==> IO-(aq) + 2H2O(l) .. balanced for I and O
IO3-(aq) + 4H2O(l) ==> IO-(aq) + 2H2O(l) + 4OH-(aq) .. balanced for I, O and H (using base, OH-)
IO3-(aq) + 4H2O(l) + 4e- ==> IO-(aq) + 2H2O(l) + 4OH-(aq) .. balanced for mass and charge
Re(s) ==> ReO4-(aq) .. unbalanced oxidation reaction
Re(s) + 4H2O(l) ==> ReO4-(aq) .. balanced for Re and O
Re(s) + 4H2O(l) + 8OH-(aq) ==> ReO4-(aq) + 8H2O(l) .. balanced for Re, O and H (using base, OH-)
Re(s) + 4H2O(l) + 8OH-(aq) ==> ReO4-(aq) + 8H2O(l) + 7e- .. balanced for mass and charge
Multiply reduction rxn by 7 and oxidation rxn by 4 in order to balanced electrons:
7 IO3-(aq) + 28 H2O(l) + 28e- ==> 7 IO-(aq) + 14 H2O(l) + 28 OH-(aq)
4 Re(s) + 16H2O(l) + 32 OH-(aq) ==> 4 ReO4-(aq) + 32 H2O(l) + 28e-
Add the two together and combine/cancel like terms to end up with the final balance equation:
7 IO3-(aq) + 4 Re(s) + 4 OH-(aq) ==> 7 IO-(aq) + 2 H2O(l) + 4 ReO4-(aq) .. balanced equation