J.R. S. answered 11/05/17
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Ph.D. in Biochemistry--University Professor--Chemistry Tutor
Oxidation is the loss of electrons.
Reduction is the gaining of electrons.
Balance each half reaction separately, and then equalize electrons by multiplying by whatever factor necessary. In acidic solution, use H+ and H2O to balance. In basic solution, use OH- and H2O to balance.
(1)
MnO4− + 8H+ + 5e− ⟶ Mn2+ + 4H2O [x2] multiply by 2 to get 10 electrons
H2O2 ⟶ O2 + 2H++2e− [x5] multiply by 5 to get 10 electrons
2MnO4- + 16H+ + 10e- + 5H2O2 ==> 2Mn2+ + 8H2O + 5O2 + 10H+ + 10e-
Canceling and combining you get:
2MnO4- + 6H+ + 5H2O2 ==> 2Mn2+ + 8H2O + 5O2
THIS IS THE FINAL BALANCED EQUATION. IT IS BALANCED FOR MASS AND CHARGE.
You should be able to do the others by following this example.