J.R. S. answered 04/14/23
Ph.D. University Professor with 10+ years Tutoring Experience
Half reactions:
MnO4- ==> MnO2 .. unbalanced reduction reaction
MnO4- ==> MnO2 + 2H2O.. balanced for Mn and O
MnO4-+ 4H2O ==> MnO2 + 2H2O + 4OH- .. balanced for Mn, O and H (using base, OH-)
MnO4-+ 4H2O + 3e- ==> MnO2 + 2H2O + 4OH- .. balance for Mn, O, H, and charge = balanced eq.
C2O42- ==> CO2 .. unbalance oxidation reaction
C2O42- ==> 2CO2 .. balanced for C and O
C2O42- ==> 2CO2 + 2e- .. balanced for C, O and charge .. balanced oxidation reaction
Multiply reduction rxn by 2 and oxidation rxn by 3 to balance electrons:
2MnO4-+ 8H2O + 6e- ==> 2MnO2 + 4H2O + 8OH-
3C2O42- ==> 6CO2 + 6e-
Add together and combine/cancel like terms to obtain final balanced equation:
2MnO4-+ 8H2O + 6e- + 3Cr2O42- ==> 2MnO2 + 4H2O + 8OH- + 6CO2 + 6e-
2MnO4-+ 4H2O + 3C2O42- ==> 2MnO2 + 8OH- + 6CO2 .. balanced redox