Final answer:
To balance the redox reaction of SO₂⁻³to SO₂⁻⁴ and Ag+ to Ag in a basic solution, the half-reactions are written, balanced for electrons, and then combined. Additional OH− and H₂O are added to balance for mass and charge in a basic solution, resulting in a balanced equation.
Step-by-step explanation:
The question is about balancing a redox reaction in a basic solution, where SO₂⁻³ is oxidized to SO₂⁻⁴, and Ag+ is reduced to Ag. Since we have two half-reactions, we need to write, balance, and then combine them. It's important to remember to balance the half-reactions for both mass and charge by adding H₂O, OH⁻, and electrons as needed.
First, we write the half-reactions:
- Oxidation (losing electrons): SO₂⁻³ → SO₂⁻⁴ + 2 e
- Reduction (gaining electrons): Ag+ + e→ Ag
Since the oxidation half-reaction involves the transfer of 2 electrons, we need to multiply the reduction half-reaction by 2 :
- Oxidation:SO₂⁻³ → SO₂⁻⁴ + 2 e−
- Reduction: 2 Ag+ + 2 e− → 2 Ag
Combining these balanced half-reactions, we get:
SO₂⁻³ + 2 Ag+ → SO₂⁻⁴ + 2 Ag
However, this is not completely balanced for a basic solution. We may need to add OH− to both sides to balance for H₂O and then adjust the waters if necessary.
For basic solution:
3 H₂O + SO₂⁻³ + 2 Ag+ → SO₂⁻⁴ + 2 Ag + 6 OH⁻
We have added 3 H₂O to the products and 6 OH⁻ to the reactants, ensuring mass balance. Now the equation is balanced, reflecting mass and charge conservation in a basic solution.