Permanganate ion reacts with bromide ion in basic medium

Permanganate ion reacts with bromide ion in basic medium to give manganese dioxide and bromate ion. Write the balanced ionic equation for the reaction.

Step 1: The skeletal ionic equation is

Step 2: Assign oxidation numbers for Mn and Br

this indicates that permanganate ion is the oxidant and bromide ion is the reductant.
Step 3: Calculate the increase and decrease of oxidation number, and make the increase equal to the decrease.

Step 4: As the reaction occurs in the basic medium and the ionic charges are not equal on both sides, add 2 OH ions on the right to make ionic charges equal.

Step 5 Finally, count the hydrogen atoms and add appropriate number of water molecules (i.e., one ${ H }_{ 2 }$0 molecule) on the left side to achieve balanced redox change).