Answer:
a. 3 Br₂(l) + 6 OH⁻(aq) → 5 Br⁻(aq) + BrO₃⁻(aq) + 3 H₂O
b. Br₂
c. Br₂
Explanation:
In order to balance a redox reaction, we use the ion-electron method.
Step 1: Identify both half-reactions.
Reduction: Br₂(l) → Br⁻(aq)
Oxidation: Br₂(l) → BrO₃⁻(aq)
Step 2: Perform the mass balance. This reaction takes place in basic medium, so we have to add OH⁻ and H₂O where appropriate.
0.5 Br₂(l) → Br⁻(aq)
6 OH⁻(aq) + 0.5 Br₂(l) → BrO₃⁻(aq) + 3 H₂O
Step 3: Perform the electrical balance adding electrons where appropriate.
1 e⁻ + 0.5 Br₂(l) → Br⁻(aq)
6 OH⁻(aq) + 0.5 Br₂(l) → BrO₃⁻(aq) + 3 H₂O + 5 e⁻
Step 4: Multiply both half-reactions by numbers that assure that the number of electrons gained and lost are the same.
5 × (1 e⁻ + 0.5 Br₂(l) → Br⁻(aq))
1 × (6 OH⁻(aq) + 0.5 Br₂(l) → BrO₃⁻(aq) + 3 H₂O + 5 e⁻)
Step 5: Add both half-reactions and simplify when appropriate.
5 e⁻ + 3 Br₂(l) + 6 OH⁻(aq) → 5 Br⁻(aq) + BrO₃⁻(aq) + 3 H₂O + 5 e⁻
3 Br₂(l) + 6 OH⁻(aq) → 5 Br⁻(aq) + BrO₃⁻(aq) + 3 H₂O
The species that is reduced is the oxidizing agent. Ther species that is oxidized is the reducing agent. In this case, Br₂ is both.