BALANCING OXIDATION-REDUCTION REACTIONS

Half-Reaction Method

 

Reactions in Aqueous Acid (H+ and H2O available)

Illustrated for the reaction: MnO4- + Br- --> Br2 + MnO2
  1. Write down the overall equation. It is usually easiest to start with a net ionic equation.
  2. Separate the reaction into two half-reactions, one for oxidation and one for reduction. Each half reaction shows the oxidation or reduction of one element. You do not have to assign oxidation states unless you need to do this in order to write the half-reactions. MnO4- --> MnO2
    Br- --> Br2

  3. Balance each half-reaction as follows:
    1. Balance all elements other than oxygen and hydrogen. MnO4---> MnO2
      2Br- --> Br2

    2. Balance oxygen by adding the appropriate number of water molecules (H2O) to the side of the equation that needs more oxygens. MnO4- --> MnO2 + 2H2O
      2Br- --> Br2

    3. Balance hydrogen by adding the appropriate number of hydrogen ions (H+) to the side of the equation that needs more hydrogens. 4H+ + MnO4- --> MnO2 + 2H2O
      2Br- --> Br2

    4. Balance the charge by adding the appropriate number of electrons to the side of the equation with the greater overall positive charge. 3e- + 4H+ + MnO4- --> MnO2 + 2H2O
      2Br- --> Br2 + 2e-
  4. Multiply each half-reaction by a whole number so that the electrons lost in one half-reaction equal the number of electrons gained in the other half-reaction. 2(3e- + 4H+ + MnO4- --> MnO2 + 2H2O)
    3(2Br- --> Br2 + 2e-)

  5. Add the two half reactions together, keeping all of the reactants together on the left side of the reaction arrow and all of the products together on the right side of the reaction arrow. The electrons will cancel so they are not shown in the final equation. 2(3e- + 4H+ + MnO4- --> MnO2 + 2H2O)
    3(2Br- --> Br2 + 2e-)
    --------------------------------------------------------------
    8H+ + 2MnO4- + 6Br- --> 2MnO2 + 4H2O + 3Br2

  6. Cancel any substances that appear on both sides of the equation. Check to make sure that the equation is balanced. If you removed spectator ions before you wrote the half-reactions, put them back in and balance by inspection.


Dr. Peggy Kline | Physical Science Department | Santa Monica College | last updated 5/15/01