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Question

Balance the following redox reactions by the ion-electron method in basis medium

MnO4(aq)+I(aq)MnO2(s)+I2(s)

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Solution

The unbalanced chemical equation is

MnO4(aq)+I(aq)MnO2(s)+I2(s)
The oxidation half reaction is

I(aq)I2(s)

The reduction half reaction is

MnO4(aq)MnO2(aq)
Balance I atoms and charges in the oxidation half reaction.

2I(aq)I2(s)+2e
In the reduction half reaction, the oxidation number of Mn changes from +7 to +4. Hence, add 3 electrons to reactant side of the reaction.

MnO4(aq)+3eMnO2(aq)
Balance charge in the reduction half reaction by adding 4 hydroxide
ions to product side.

MnO4(aq)+3eMnO2(aq)+4OH
To balance O atoms, add 2 water molecules to reactant side.

MnO4(aq)+3e+2H2OMnO2(aq)+4OH
To equalize the number of electrons, multiply the oxidation half reaction by 3 and multiply the reduction half reaction by 2.

6I(aq)3I2(s)+6e

2MnO4(aq)+6e+4H2O2MnO2(aq)+8OH
Add two half cell reactions to obtain the balanced equation.

2MnO4(aq)+6I(aq)+4H2O2(l)2MnO2(s)+3I2(s)+8OH

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