Numford
Balanced in basic solution

P₄ and OH⁻

P₄ + 3H₂O + 3OH⁻ → PH₃ + 3H₂PO₂⁻

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.

P₄+3H₂O+3OH⁻→PH₃+3H₂PO₂⁻

  • Oxidised and reducedP₄disproportionation
  • Electrons3

OxidationP 0 → +1

3P₄+24OH⁻→12H₂PO₂⁻+12e⁻

loses 12 e⁻

ReductionP 0 → −3

P₄+12H₂O+12e⁻→4PH₃+12OH⁻

gains 12 e⁻
  1. Write the skeleton in ionic form
    P₄ → PH₃ + H₂PO₂⁻
  2. Split into two half reactions
    Oxidation: P₄ → H₂PO₂⁻ (P 0 → +1)
    Reduction: P₄ → PH₃ (P 0 → −3)
  3. Balance atoms other than O and H
    Oxidation: P₄ → 4H₂PO₂⁻
    Reduction: P₄ → 4PH₃
  4. Balance O by adding H₂O
    Oxidation: P₄ + 8H₂O → 4H₂PO₂⁻
  5. Balance H by adding H⁺
    Oxidation: P₄ + 8H₂O → 4H₂PO₂⁻ + 8H⁺
    Reduction: P₄ + 12H⁺ → 4PH₃
  6. Basic solution: add OH⁻ to both sides for each H⁺, make water and cancel
    Oxidation: P₄ + 8OH⁻ → 4H₂PO₂⁻
    Reduction: P₄ + 12H₂O → 4PH₃ + 12OH⁻
  7. Balance the charge with electrons
    Oxidation: P₄ + 8OH⁻ → 4H₂PO₂⁻ + 4e⁻
    Reduction: P₄ + 12H₂O + 12e⁻ → 4PH₃ + 12OH⁻
  8. Make the electrons equal
    Oxidation × 3: 3P₄ + 24OH⁻ → 12H₂PO₂⁻ + 12e⁻
    Reduction: P₄ + 12H₂O + 12e⁻ → 4PH₃ + 12OH⁻
  9. Add the halves and cancel what appears on both sides
    P₄ + 3H₂O + 3OH⁻ → PH₃ + 3H₂PO₂⁻
  10. Check
    Each side has 4 P, 6 O, 9 H and a total charge of −3.
Both methods

Step by step

Ion-electron method

  1. Write the skeleton in ionic form
    P₄ → PH₃ + H₂PO₂⁻
  2. Split into two half reactions
    Oxidation: P₄ → H₂PO₂⁻ (P 0 → +1)
    Reduction: P₄ → PH₃ (P 0 → −3)
  3. Balance atoms other than O and H
    Oxidation: P₄ → 4H₂PO₂⁻
    Reduction: P₄ → 4PH₃
  4. Balance O by adding H₂O
    Oxidation: P₄ + 8H₂O → 4H₂PO₂⁻
  5. Balance H by adding H⁺
    Oxidation: P₄ + 8H₂O → 4H₂PO₂⁻ + 8H⁺
    Reduction: P₄ + 12H⁺ → 4PH₃
  6. Basic solution: add OH⁻ to both sides for each H⁺, make water and cancel
    Oxidation: P₄ + 8OH⁻ → 4H₂PO₂⁻
    Reduction: P₄ + 12H₂O → 4PH₃ + 12OH⁻
  7. Balance the charge with electrons
    Oxidation: P₄ + 8OH⁻ → 4H₂PO₂⁻ + 4e⁻
    Reduction: P₄ + 12H₂O + 12e⁻ → 4PH₃ + 12OH⁻
  8. Make the electrons equal
    Oxidation × 3: 3P₄ + 24OH⁻ → 12H₂PO₂⁻ + 12e⁻
    Reduction: P₄ + 12H₂O + 12e⁻ → 4PH₃ + 12OH⁻
  9. Add the halves and cancel what appears on both sides
    P₄ + 3H₂O + 3OH⁻ → PH₃ + 3H₂PO₂⁻
  10. Check
    Each side has 4 P, 6 O, 9 H and a total charge of −3.

Oxidation number method

  1. Write the oxidation numbers and find the change
    P: 0 in P₄ → +1 in H₂PO₂⁻, a rise of 4 for P₄ → 4H₂PO₂⁻ (oxidation)
    P: 0 in P₄ → −3 in PH₃, a fall of 12 for P₄ → 4PH₃ (reduction)
  2. Make the total rise equal the total fall (12 each)
    4P₄ → 4PH₃ + 12H₂PO₂⁻
  3. Balance the charge with 12 OH⁻ (basic solution)
    4P₄ + 12OH⁻ → 4PH₃ + 12H₂PO₂⁻
  4. Balance H with 12 H₂O
    4P₄ + 12H₂O + 12OH⁻ → 4PH₃ + 12H₂PO₂⁻
  5. Check
    P₄ + 3H₂O + 3OH⁻ → PH₃ + 3H₂PO₂⁻
    Each side has 4 P, 6 O, 9 H and a total charge of −3.
Who gives, who takes

One species, both ways

  • P 0 → +1P₄ to H₂PO₂⁻: oxidised
  • P 0 → −3P₄ to PH₃: reduced
  • P₄is both oxidised and reduced: a disproportionation reaction
Questions

P₄ and OH⁻: quick answers

What is the balanced equation for white phosphorus in alkali (disproportionation)?

P₄ + 3H₂O + 3OH⁻ → PH₃ + 3H₂PO₂⁻.

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

P goes from 0 to +1 and P goes from 0 to −3. P₄ is both oxidised and reduced, so this is a disproportionation reaction.

Why is this a disproportionation reaction?

The same species, P₄, is oxidised in one half reaction and reduced in the other. P goes from 0 to +1 and P goes from 0 to −3.

Balance your own equation