IB Chemistry R3.2 R3.2.1
R3.2.1

Oxidation & Reduction

Key Definitions

OIL

Oxidation Is Loss (of electrons)

RIG

Reduction Is Gain (of electrons)

Oxidising agent = accepts electrons (is itself reduced). Reducing agent = donates electrons (is itself oxidised).

Three Ways to Define Redox

Perspective Oxidation Reduction
Electrons Loss of e⁻ Gain of e⁻
Oxidation state Increase in ox. Number Decrease in ox. Number
Oxygen / Hydrogen Gain of O / Loss of H Loss of O / Gain of H

Oxidation States (Numbers)

An oxidation state is a formal charge assigned to an atom, assuming all bonds are completely ionic. It lets us track electron transfer in complex molecules.

Rules for Assigning Oxidation States

  1. Free elements = 0 (e.g. Na, O₂, S₈, P₄)
  2. Monoatomic ion = charge (e.g. Na⁺ = +1, Cl⁻ = −1)
  3. Fluorine = always −1
  4. Oxygen = −2. Exceptions: peroxides (−1, e.g. H₂O₂), OF₂ (+2)
  5. Hydrogen = +1. Exception: metal hydrides (−1, e.g. NaH)
  6. Group 1 metals = always +1; Group 2 = always +2; Al = always +3
  7. Halogens (Cl, Br, I) = usually −1. Exception: positive when bonded to O or F
  8. Sum in a neutral compound = 0; in a polyatomic ion = ion charge

Worked Example: Find the oxidation state of Mn in MnO₄⁻

Let Mn = x. Each O = −2 (there are 4). Overall charge = −1.

x + 4(−2) = −1 → x − 8 = −1 → x = +7

Mn has an oxidation state of +7 in the permanganate ion.

Identifying Redox Reactions

Assign oxidation states to every element on both sides. If any element's oxidation number changes, it is a redox reaction. If no elements change, it is not redox (e.g. Acid-base neutralisation).

Half-Equations

Half-equations show oxidation and reduction separately. Every redox reaction can be split into two half-equations.

Example: Mg + CuSO₄

Oxidation: Mg → Mg²⁺ + 2e⁻  (Mg loses electrons. Reducing agent)

Reduction: Cu²⁺ + 2e⁻ → Cu  (Cu²⁺ gains electrons. Oxidising agent)

Overall: Mg + Cu²⁺ → Mg²⁺ + Cu

Balancing Complex Half-Equations (acidic conditions)

  1. Balance atoms other than O and H first
  2. Balance oxygen by adding H₂O to the side that needs O
  3. Balance hydrogen by adding H⁺ to the side that needs H
  4. Balance charge by adding electrons (e⁻) to the more positive side
  5. Combine: multiply half-equations so electrons cancel, then add

Worked Example: Balance MnO₄⁻ → Mn²⁺

Step 1: Mn is already balanced.

Step 2 (balance O): MnO₄⁻ → Mn²⁺ + 4H₂O

Step 3 (balance H): MnO₄⁻ + 8H⁺ → Mn²⁺ + 4H₂O

Step 4 (balance charge): Left = −1 + 8 = +7. Right = +2. Add 5e⁻ to the left.

MnO₄⁻ + 8H⁺ + 5e⁻ → Mn²⁺ + 4H₂O

Disproportionation

A reaction where a single element is simultaneously oxidised and reduced.

Example: Cl₂ + H₂O → HClO + HCl

Cl goes from 0 (in Cl₂) to both +1 (in HClO) and −1 (in HCl).

⚠ Common Exam Mistakes

Notation: Oxidation states have the sign before the number (+2), ionic charges have it after (2+).

Per-atom calculation: In CaCl₂, the oxidation state of Cl is −1 (not −2). Always calculate per single atom.

Naming agents: Refer to the whole substance, not just the element. Say "permanganate ion" not "manganese".

Roman numerals: Always use them for transition metals with variable oxidation states. Iron(II) oxide vs iron(III) oxide.

Confusing agents: The reducing agent is oxidised (it donates electrons). The oxidising agent is reduced (it accepts electrons).

Think About It

In the reaction: 2Fe²⁺ + Cl₂ → 2Fe³⁺ + 2Cl⁻, identify the oxidising and reducing agents.

Cl₂ is the oxidising agent (it gains electrons, is reduced). Fe²⁺ is the reducing agent (it loses electrons, is oxidised: +2 → +3).

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