J.R. S. answered 11/22/21
Ph.D. University Professor with 10+ years Tutoring Experience
We will have to balance this redox is basic medium.
Br2 ==> Br- ... reduction half reaction
Br2 + 2e- ==> 2Br- balance reduction half reaction
Mn2+ ==> MnO2 ... oxidation half reaction
Mn2+ + 2H2O ==> MnO2 ... balanced for O
Mn2+ + 2H2O + 4OH- ==> MnO2 + 4H2O ... balanced for H using basic medium
Mn2+ + 2H2O + 4OH- ==> MnO2 + 4H2O + 2e- ... balanced for charge and final balanced oxidation reaction
Add the two equations together and combine/cancel like terms to get...
Br2 + Mn2+ + 4OH- ==> 2Br- + MnO2 + 2H2O ... balanced redox equation
SUM OF COEFFICIENTS = 1 + 1 + 4 + 2 + 1 + 2 = 11