To write a complete balanced reaction of a redox reaction, we need to know the half reactions of the molecules involved in the reaction and to balance these reactions. From, the problem statement ClO2- is oxidized to ClO4- so the half reaction would be:
(ClO)2- = (ClO)4-
To balance, We first balance the elements except O and H in the reaction. (ClO2)- = (ClO4)- Then, we balance O by adding H2O and balance H by adding H+ (ClO2)- + 2H2O = (ClO4)- + 2H+ Then, we balance the charges by adding electrons, (ClO2)- + 2H2O = (ClO4)- + 2H+ + e-
Then for Ag+ to Ag, Ag+ = Ag
We just need to balance the charge, Ag+ + e- = Ag
To determine the final equation, we add both half reactions: