Balancing Redox in Base
Balancing redox reactions in basic solution uses the exact same half-reaction method as acidic solution, with one extra step at the end. You first balance the equation as if it were in acid (using H+ and H2O), and then convert all the H+ ions into water by adding OH- to both sides.
The Extra Step for Basic Solution
After you have a balanced equation in acidic solution (following all the steps from the previous section):
Add OH- to BOTH sides of the equation - one OH- for every H+ that appears. On the side where H+ exists, the H+ and OH- combine to form H2O. On the other side, you simply add the same number of OH- ions.
Then simplify: cancel any H2O molecules that appear on both sides.
Worked Example
Balance in basic solution: MnO4-(aq) + Br-(aq) —> MnO2(s) + BrO3-(aq)
First, balance in acidic solution using the standard method:
Reduction: MnO4- —> MnO2
Balance O with H2O: MnO4- —> MnO2 + 2H2O
Balance H with H+: 4H+ + MnO4- —> MnO2 + 2H2O
Balance charge with e-: 3e- + 4H+ + MnO4- —> MnO2 + 2H2O
(Mn goes from +7 to +4, gaining 3 electrons.)
Oxidation: Br- —> BrO3-
Balance O with H2O: 3H2O + Br- —> BrO3-
Balance H with H+: 3H2O + Br- —> BrO3- + 6H+
Balance charge with e-: 3H2O + Br- —> BrO3- + 6H+ + 6e-
(Br goes from -1 to +5, losing 6 electrons.)
Equalize electrons: Multiply the reduction half by 2:
6e- + 8H+ + 2MnO4- —> 2MnO2 + 4H2O
Add the half-reactions:
6e- + 8H+ + 2MnO4- + 3H2O + Br- —> 2MnO2 + 4H2O + BrO3- + 6H+ + 6e-
Cancel 6e- from both sides. Cancel 6H+ from both sides (8H+ - 6H+ = 2H+ on left). Cancel 3H2O from both sides (4H2O - 3H2O = 1H2O on right):
2H+ + 2MnO4- + Br- —> 2MnO2 + H2O + BrO3-
Now convert to basic solution. There are 2H+ on the left. Add 2OH- to BOTH sides:
2H2O + 2MnO4- + Br- —> 2MnO2 + H2O + BrO3- + 2OH-
(Left side: 2H+ + 2OH- = 2H2O. Right side: just add 2OH-.)
Cancel 1 H2O from both sides:
H2O + 2MnO4- + Br- —> 2MnO2 + BrO3- + 2OH-
Verify: Mn: 2 = 2. O: 1 + 8 = 9 on left, 4 + 3 + 2 = 9 on right. Br: 1 = 1. H: 2 = 2. Charge: 0 + 2(-1) + (-1) = -3 on left, 0 + (-1) + 2(-1) = -3 on right. Balanced.
Acidic vs. Basic: When to Use Which
The problem will always tell you which medium the reaction occurs in. Look for these clues:
| Clue in the problem | Method |
|---|---|
| ”In acidic solution” or pH < 7 | Use H+ and H2O directly |
| ”In basic solution” or pH > 7 or NaOH present | Balance in acid first, then convert H+ to H2O with OH- |
| No medium specified | Usually assume acidic unless the problem specifies otherwise |