Final answer:
To balance the redox reaction Al2O3 + Fe2 → AlF3 + O3 using the oxidation number method, assign oxidation numbers to each element in the reaction and balance them. The balanced equation is 2Al2O3 + 3Fe2 → 2AlF3 + 3O3.
Step-by-step explanation:
To balance the redox reaction Al2O3 + Fe2 → AlF3 + O3 using the oxidation number method, we need to assign oxidation numbers to each element in the reaction. Oxygen is typically assigned an oxidation number of -2, and aluminum is typically assigned an oxidation number of +3.
By balancing the oxidation numbers, we can determine that the oxidation number of Fe in Fe2 is +2. To balance the equation, we can assign Fe in AlF3 an oxidation number of +3.
Finally, we can balance the equation by adding coefficients to the reactants and products. The balanced equation is 2Al2O3 + 3Fe2 → 2AlF3 + 3O3.