For each of the following reactions, state whether it is an oxidation or a reduction. Then, for each one, write the balanced half-reaction.

a. Fe³+ (aq) → Fe²+ (aq)
b. 2O²- (aq) → O₂ (g)
c. Al³+ (aq) → Al(s)
d. Fe²+ (aq) → Fe(s)
e. Mg (s) → Mg²+ (aq)

Straight forward. Just remember the definitions. Oxidation is the loss of electrons. Reduction is the gain of electrons. Here is a memory aid. LEO the lion goes GER. LEO = loss electrons oxidation. GER = gain electrons reduction.

a. Fe³+ (aq) → Fe²+ (aq)
Fe^3+ + e ==> Fe^2+ that's a GER so reduction.
b. 2O²- (aq) → O₂ (g)
2O2^2- ==> 2O2 +2e that's a LEO so oxidation
I shall be happy to check the others if you post your answers.

a. The reaction is a reduction because Fe³+ is gaining electrons to become Fe²+.

The balanced half-reaction is:
Fe³+ (aq) + e⁻ → Fe²+ (aq)

b. The reaction is an oxidation because O²- is losing electrons to form neutral O₂.

The balanced half-reaction is:
2O²- (aq) → O₂ (g) + 4e⁻

c. The reaction is a reduction because Al³+ is gaining electrons to form solid Al.

The balanced half-reaction is:
Al³+ (aq) + 3e⁻ → Al (s)

d. The reaction is a reduction because Fe²+ is gaining electrons to form solid Fe.

The balanced half-reaction is:
Fe²+ (aq) + 2e⁻ → Fe (s)

e. The reaction is an oxidation because Mg is losing electrons to form Mg²+.

The balanced half-reaction is:
Mg (s) → Mg²+ (aq) + 2e⁻

To determine whether a reaction is an oxidation or a reduction, we need to identify the changes in the oxidation states of the elements involved.

An increase in the oxidation state indicates oxidation, while a decrease indicates reduction.

Let's analyze each reaction:

a. Fe³+ (aq) → Fe²+ (aq)
In this reaction, Fe³+ is being reduced to Fe²+. The oxidation state of Fe is decreasing from +3 to +2. Therefore, the reaction is a reduction.

To write the balanced half-reaction, we need to balance the number of atoms and the charges on each side:

Half-reaction: Fe³+ (aq) + e⁻ → Fe²+ (aq)

b. 2O²- (aq) → O₂ (g)
In this reaction, O²- is being oxidized to O₂. The oxidation state of O is increasing from -2 to 0. Therefore, the reaction is an oxidation.

To write the balanced half-reaction, we need to balance the number of atoms and the charges on each side:

Half-reaction: 4O²- (aq) → 2O₂ (g) + 4e⁻

c. Al³+ (aq) → Al(s)
In this reaction, Al³+ is being reduced to Al. The oxidation state of Al is decreasing from +3 to 0. Therefore, the reaction is a reduction.

To write the balanced half-reaction, we need to balance the number of atoms and the charges on each side:

Half-reaction: Al³+ (aq) + 3e⁻ → Al(s)

d. Fe²+ (aq) → Fe(s)
In this reaction, Fe²+ is being reduced to Fe. The oxidation state of Fe is decreasing from +2 to 0. Therefore, the reaction is a reduction.

To write the balanced half-reaction, we need to balance the number of atoms and the charges on each side:

Half-reaction: Fe²+ (aq) + 2e⁻ → Fe(s)

e. Mg (s) → Mg²+ (aq)
In this reaction, Mg is being oxidized to Mg²+. The oxidation state of Mg is increasing from 0 to +2. Therefore, the reaction is an oxidation.

To write the balanced half-reaction, we need to balance the number of atoms and the charges on each side:

Half-reaction: Mg(s) → Mg²+ (aq) + 2e⁻

Hope this helps! Let me know if you have any further questions.