J.R. S. answered 10/21/21
Ph.D. University Professor with 10+ years Tutoring Experience
I'll try to give a step by step procedure for balancing this in basic medium.
I- + MnO4- ==> MnO2 + I2 (note: I believe it should be MnO4- and not MnO42-)
Do the half reactions separately and then add them together at the end.
I- ==> I2 ... oxidation half reaction
2I- ==> I2 ... balances the Iodines
2I- ==> I2 + 2e- ... balances the charge and this is the final balanced equation for the oxidation 1/2 reaction
MnO4- ==> MnO2 ... reduction half reaction
MnO4- ==> MnO2 + 2H2O ... balances the oxygens
MnO4- + 4H2O ==> MnO2 + 2H2O + 4OH- ... balances the hydrogens using basic solution
MnO4- + 4H2O + 3e- ==> MnO2 + 2H2O + 4OH- ... balances the charge
MnO4- + 2H2O + 3e- ==> MnO2 + 4OH- ... balanced equation for the reduction 1/2 reaction
Since 3 electrons were transferred in the reduction reaction, and 2 electrons were transferred in the oxidation reaction, we must equalize the electrons by multiplying the reduction reaction by 2 and the oxidation reaction by 3. Thus, we have...
6I- ==> 3I2 + 6e- ... oxidation reaction
2MnO4- + 4H2O + 6e- ==> 2MnO2 + 8OH- ... reduction reaction
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6I- + 2MnO4- + 4H2O ==> 3I2 + 2MnO2 + 8OH- ... balanced redox reaction