Numford
Balanced in acidic solution

MnO₄⁻ and SO₂

2MnO₄⁻ + 5SO₂ + 2H₂O + H⁺ → 2Mn²⁺ + 5HSO₄⁻

Redox balancer

Type the reactants and products with an arrow, without numbers: MnO4- + Fe2+ -> Mn2+ + Fe3+. Leave out H+, OH- and water; they are added for you. Salts and acids such as KMnO4 or HNO3 are fine.

2MnO₄⁻+5SO₂+2H₂O+H⁺→2Mn²⁺+5HSO₄⁻

  • Oxidising agentMnO₄⁻
  • Reducing agentSO₂
  • Electrons10

OxidationS +4 → +6

5SO₂+10H₂O→5HSO₄⁻+15H⁺+10e⁻

loses 10 e⁻

ReductionMn +7 → +2

2MnO₄⁻+16H⁺+10e⁻→2Mn²⁺+8H₂O

gains 10 e⁻
  1. Write the skeleton in ionic form
    MnO₄⁻ + SO₂ → Mn²⁺ + HSO₄⁻
  2. Split into two half reactions
    Oxidation: SO₂ → HSO₄⁻ (S +4 → +6)
    Reduction: MnO₄⁻ → Mn²⁺ (Mn +7 → +2)
  3. Balance atoms other than O and H
    Oxidation: SO₂ → HSO₄⁻
    Reduction: MnO₄⁻ → Mn²⁺
  4. Balance O by adding H₂O
    Oxidation: SO₂ + 2H₂O → HSO₄⁻
    Reduction: MnO₄⁻ → Mn²⁺ + 4H₂O
  5. Balance H by adding H⁺
    Oxidation: SO₂ + 2H₂O → HSO₄⁻ + 3H⁺
    Reduction: MnO₄⁻ + 8H⁺ → Mn²⁺ + 4H₂O
  6. Balance the charge with electrons
    Oxidation: SO₂ + 2H₂O → HSO₄⁻ + 3H⁺ + 2e⁻
    Reduction: MnO₄⁻ + 8H⁺ + 5e⁻ → Mn²⁺ + 4H₂O
  7. Make the electrons equal
    Oxidation × 5: 5SO₂ + 10H₂O → 5HSO₄⁻ + 15H⁺ + 10e⁻
    Reduction × 2: 2MnO₄⁻ + 16H⁺ + 10e⁻ → 2Mn²⁺ + 8H₂O
  8. Add the halves and cancel what appears on both sides
    2MnO₄⁻ + 5SO₂ + 2H₂O + H⁺ → 2Mn²⁺ + 5HSO₄⁻
  9. Check
    Each side has 5 S, 20 O, 5 H, 2 Mn and a total charge of −1.
Both methods

Step by step

Ion-electron method

  1. Write the skeleton in ionic form
    MnO₄⁻ + SO₂ → Mn²⁺ + HSO₄⁻
  2. Split into two half reactions
    Oxidation: SO₂ → HSO₄⁻ (S +4 → +6)
    Reduction: MnO₄⁻ → Mn²⁺ (Mn +7 → +2)
  3. Balance atoms other than O and H
    Oxidation: SO₂ → HSO₄⁻
    Reduction: MnO₄⁻ → Mn²⁺
  4. Balance O by adding H₂O
    Oxidation: SO₂ + 2H₂O → HSO₄⁻
    Reduction: MnO₄⁻ → Mn²⁺ + 4H₂O
  5. Balance H by adding H⁺
    Oxidation: SO₂ + 2H₂O → HSO₄⁻ + 3H⁺
    Reduction: MnO₄⁻ + 8H⁺ → Mn²⁺ + 4H₂O
  6. Balance the charge with electrons
    Oxidation: SO₂ + 2H₂O → HSO₄⁻ + 3H⁺ + 2e⁻
    Reduction: MnO₄⁻ + 8H⁺ + 5e⁻ → Mn²⁺ + 4H₂O
  7. Make the electrons equal
    Oxidation × 5: 5SO₂ + 10H₂O → 5HSO₄⁻ + 15H⁺ + 10e⁻
    Reduction × 2: 2MnO₄⁻ + 16H⁺ + 10e⁻ → 2Mn²⁺ + 8H₂O
  8. Add the halves and cancel what appears on both sides
    2MnO₄⁻ + 5SO₂ + 2H₂O + H⁺ → 2Mn²⁺ + 5HSO₄⁻
  9. Check
    Each side has 5 S, 20 O, 5 H, 2 Mn and a total charge of −1.

Oxidation number method

  1. Write the oxidation numbers and find the change
    S: +4 in SO₂ → +6 in HSO₄⁻, a rise of 2 for SO₂ → HSO₄⁻ (oxidation)
    Mn: +7 in MnO₄⁻ → +2 in Mn²⁺, a fall of 5 for MnO₄⁻ → Mn²⁺ (reduction)
  2. Make the total rise equal the total fall (10 each)
    2MnO₄⁻ + 5SO₂ → 2Mn²⁺ + 5HSO₄⁻
  3. Balance the charge with 1 H⁺ (acidic solution)
    2MnO₄⁻ + 5SO₂ + H⁺ → 2Mn²⁺ + 5HSO₄⁻
  4. Balance H with 2 H₂O
    2MnO₄⁻ + 5SO₂ + 2H₂O + H⁺ → 2Mn²⁺ + 5HSO₄⁻
  5. Check
    2MnO₄⁻ + 5SO₂ + 2H₂O + H⁺ → 2Mn²⁺ + 5HSO₄⁻
    Each side has 5 S, 20 O, 2 Mn, 5 H and a total charge of −1.
Who gives, who takes

Oxidising and reducing agents

  • S +4 → +6SO₂ to HSO₄⁻: oxidised
  • Mn +7 → +2MnO₄⁻ to Mn²⁺: reduced
  • MnO₄⁻oxidising agent, gains electrons
  • SO₂reducing agent, loses electrons
Questions

MnO₄⁻ and SO₂: quick answers

What is the balanced equation for permanganate and sulphur dioxide in acid?

2MnO₄⁻ + 5SO₂ + 2H₂O + H⁺ → 2Mn²⁺ + 5HSO₄⁻.

Which is the oxidising agent and which is the reducing agent?

S goes from +4 to +6 and Mn goes from +7 to +2. MnO₄⁻ is the oxidising agent (it is reduced) and SO₂ is the reducing agent (it is oxidised).

How many electrons are transferred?

10 electrons pass from SO₂ to MnO₄⁻ in the balanced equation as written.

Balance your own equation