How many electrons should be added to the reactant to balance the atom whose oxidation number is changing?
Cr2O2−7⟶Cr+3
First multiplyCr+3×2 to balance no of Cr atoms
Cr2O−27⟶2Cr3+
First let us calculate the oxidation number of the Cr atom on the LHS.
2n-14 = -2 2n =12
⟹ n =6
Clearly, the change in oxidation state is 2+6Cr⟶2+3Cr
As you can see, each Cr atom undergoes a change in oxidation of +3 - (+6) = -3. So For each Cr atom 3 electrons must be added to the LHS. So a total of 6 electrons shall be added
Therefore, Cr2O2−7+6e−⟶2Cr3+. Do note that we are not balancing the whole reaction here. This is more like balancing a half reaction.