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1.9.3Principles of Chemistry

Writing Half-Equations — Edexcel Linear - OL (Chemistry) Revision Notes & Topical Questions

5 min read 5 parts Lesson 24 of 25 Unit quiz

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Part 1 of 5Oxidation and Reduction at Electrodes

1.9.3 Writing Half-Equations

Half-equations track the movement of electrons during electrolysis.

Reduction
  • Reduction is gain of electrons, and it happens at the cathode where positive ions pick up electrons.
Oxidation
  • Oxidation is loss of electrons, and it happens at the anode where negative ions give up electrons.
Half-equation
  • A half-equation shows only the change at one electrode, with electrons written as e⁻.
Balancing
  • Both the atoms and the total charges must balance on each side of the half-equation.

Part 2 of 5Equations to Learn

Equations to Learn
Molten lead(II) bromide
  • Cathode
    • Pb²⁺ + 2e⁻ → Pb (reduction).
    • Anode: 2Br⁻ → Br₂ + 2e⁻ (oxidation).
Aqueous sodium chloride
  • Cathode
    • 2H⁺ + 2e⁻ → H₂ (reduction).
    • Anode: 2Cl⁻ → Cl₂ + 2e⁻ (oxidation).
Aqueous copper(II) sulfate
  • Cathode
    • Cu²⁺ + 2e⁻ → Cu (reduction).
    • Anode: 2H₂O → O₂ + 4H⁺ + 4e⁻ (oxidation).
Dilute sulfuric acid
  • Cathode
    • 2H⁺ + 2e⁻ → H₂.
    • Anode: 2H₂O → O₂ + 4H⁺ + 4e⁻, or 4OH⁻ → O₂ + 2H₂O + 4e⁻.
ElectrodeProcessElectrons
Cathode (−)ReductionGained
Anode (+)OxidationLost

Part 3 of 5How to Write a Half-Equation

A short routine avoids most mistakes.

1
Identify the ion that is discharged at the electrode using the electrolysis rules.
2
Write the ion on the left and the neutral product on the right.
3
For a diatomic product such as Cl₂ or Br₂, write 2 ions on the left to balance the atoms.
4
Add electrons so the total charge is equal on both sides; put them on the left for the cathode and on the right for the anode.
5
Check that atoms and charges balance, then label the process as oxidation or reduction.

Part 4 of 5Linking the Equations Together

Linking the Equations Together
Electron balance
  • The electrons lost at the anode equal the electrons gained at the cathode, so the numbers must match in the full process.
Diatomic gases
  • Chlorine and bromine form as molecules, which is why two halide ions appear in the anode equation.
Acidic solutions
  • In acidic or neutral solutions oxygen forms from water molecules, as hydroxide ions are too scarce to be the source.
Alkaline solutions
  • In alkaline solutions hydroxide ions are plentiful, so 4OH⁻ → O₂ + 2H₂O + 4e⁻ is used.

Part 5 of 5Exam Checklist & Tips

1.9.3 – Key Points for the Exam

  • Oxidation Loss of electrons.
  • Reduction Gain of electrons.
  • Half-equation An equation showing electron transfer at one electrode only.
  • Discharge Conversion of an ion into a neutral atom or molecule at an electrode.
  • OIL RIG A memory aid: Oxidation Is Loss, Reduction Is Gain of electrons.

Common Mistakes

  • Writing electrons on the wrong side so the charge does not balance.
  • Writing Cl or Br instead of Cl₂ or Br₂ for the gaseous product.
  • Mixing up oxidation and reduction; oxidation always occurs at the anode.
  • Leaving out state symbols or writing the half-equation without balancing the atoms.

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Chemistry 0620 & Edexcel OL Product Prediction Rules

Aqueous Electrolysis Rules (Inert Electrodes)

  • At Cathode (-): Least reactive cation discharged. If metal is more reactive than hydrogen (Na+, K+, Mg2+), H2 gas is produced: 2H+ + 2e- → H2. If Cu2+ or Ag+, the metal coats the cathode.
  • At Anode (+): If concentrated halide present (Cl-, Br-, I-), halogen is formed (e.g. 2Cl- → Cl2 + 2e-). If sulfate (SO42-) or nitrate (NO3-), O2 gas is discharged: 4OH- → O2 + 2H2O + 4e-.