Final answer:
To derive the complete balanced redox reaction from permanganate and peroxide, the oxidation and reduction half-reactions are each balanced for atoms and charges, then combined to balance the electrons. This results in the overall balanced equation.
Step-by-step explanation:
To determine the balanced oxidation and reduction half-reactions and the overall redox reaction for the reaction involving permanganate and peroxide, we need to follow a series of steps to ensure all atoms and charges are balanced.
Oxidation Half-Reaction
First, write the oxidation half-reaction and balance the elements other than hydrogen and oxygen. Next, balance the oxygen atoms with water (H2O), and then balance the hydrogen atoms with hydrogen ions (H+). Lastly, add electrons to balance the overall charge.
Reduction Half-Reaction
For the reduction half-reaction, follow the same steps, ensuring you balance for manganese (Mn) and oxygen (O), followed by hydrogen, and then add electrons to balance the charges.
Overall Redox Reaction
Now combine the balanced oxidation and reduction half-reactions, adjusting them so that the number of electrons is the same on both sides, which allows them to cancel out. Add the two reactions, and simplify to get the overall balanced equation.