Balance the following redox reactions by ion -electron method:
`MnO_(4)^(-)(aq)+I^(-)(aq)toMnO_(2)(s)+I_(2)(s)`(in basic medium)

Explanation

Oxidation reaction : `2I^(aq)toI_(2)(s)+2e`
`MnO_(4)^(-)(aq)2H_(2)O(l)+3etoMnO_(2)(s)+4OH-(aq)`
Multiplying equation (1) by 3 and equation (2) by 2 and them adding them ,we have
`2MnO_(4)^(-)(aq) +6I^(-)(aq) +4H_(2)O(l)to2MnO_(2)(s) +3I_(2)(g) +8OH ^(-)(aq)`
`MnO_(4)^(-)(aq)+8H^(+)`