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Question

How to balance the following equation by oxidation number method.
Br+MnO4BrO3+MnO2

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Solution

Step 1: The skeletal ionic equation is
MnO4(aq)+Br(aq)MnO2(s)+BrO3(aq)
Step 2: Assign oxidation numbers for Mn and Br
+71+4+5MnO4(aq)Br(aq)MnO2(s)BrO3(aq)
Step 3: Calculate the increase and decrease of oxidation number, and make the increase equal to the decrease.
2MnO4(aq)+Br(aq)2MnO2(s)+BrO3(aq)
Step 4: As the reaction occurs in the basic medium, and the ionic charges are not equal on both sides, add 2OH ions on the right to make ionic charges equal.
2MnO4(aq)+Br(aq)2MnO2(s)+BrO3(aq)+2OH
Step 5: Finally, count the hydrogen atoms and add appropriate number of water molecules (i.e., one H2O molecules) on the left side to achieve balanced redox change.
2MnO4(aq)+Br(aq)+H2O2MnO2(s)+BrO3(aq)+2OH

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