1. Chapter at a Glance
In a redox reaction one substance loses electrons (oxidation) while another gains them (reduction). Burning, rusting, respiration, photosynthesis, bleaching and batteries are all redox processes. This chapter teaches how to find oxidation numbers, how to classify redox reactions, and how to balance them. It also connects to titrations and to electrochemistry. NEET usually asks one question from here, most often on oxidation numbers or balancing.
- Oxidation number of an element in a compound or ion (including fractional values).
- Identifying oxidising and reducing agents.
- Types: combination, decomposition, displacement, disproportionation.
- Balancing by the ion–electron (half-reaction) method in acid or base.
- Simple redox titration calculations (KMnO₄, K₂Cr₂O₇).
2. Oxidation and Reduction
| Idea | Oxidation | Reduction |
|---|---|---|
| Classical | Addition of oxygen / removal of hydrogen | Removal of oxygen / addition of hydrogen |
| Electronic | Loss of electrons | Gain of electrons |
| Oxidation number | Increase in ON | Decrease in ON |
| The agent that causes it | Oxidising agent (itself reduced) | Reducing agent (itself oxidised) |
OIL RIG: Oxidation Is Loss, Reduction Is Gain (of electrons).
Example: Zn + Cu²⁺ → Zn²⁺ + Cu. Zinc loses electrons (oxidised, reducing agent); Cu²⁺ gains electrons (reduced, oxidising agent).
3. Rules for Oxidation Number
- An element in its free state has ON = 0 (Na, O₂, S₈, P₄).
- For a monatomic ion, ON = its charge.
- Oxygen is −2, except in peroxides (−1, as in H₂O₂ and Na₂O₂), superoxides (−½, as in KO₂) and OF₂ (+2).
- Hydrogen is +1, except in metal hydrides (−1, as in NaH and CaH₂).
- Fluorine is always −1. Other halogens are −1 except when bonded to oxygen or a more electronegative halogen.
- Alkali metals are +1 and alkaline-earth metals are +2 in their compounds.
- The sum of ONs equals 0 for a neutral compound and equals the charge for an ion.
| Species | Element | ON | NEET Note |
|---|---|---|---|
| KMnO₄ | Mn | +7 | Maximum for Mn |
| K₂Cr₂O₇ | Cr | +6 | Orange dichromate |
| CrO₅ | Cr | +6 | Has two peroxide bridges; not +10 |
| H₂SO₅ (Caro's acid) | S | +6 | One peroxide linkage |
| Na₂S₂O₃ | S | +2 (average) | The two S atoms are in different environments |
| Na₂S₄O₆ | S | +2.5 (average) | Fractional ON is an average |
| Fe₃O₄ | Fe | +8/3 (average) | Mixed Fe(II) and Fe(III) |
| H₃PO₂, H₃PO₃, H₃PO₄ | P | +1, +3, +5 | Count only the P–OH hydrogens as acidic |
4. Types of Redox Reactions
- Combination: C + O₂ → CO₂.
- Decomposition: 2KClO₃ → 2KCl + 3O₂ (not every decomposition is redox; CaCO₃ → CaO + CO₂ is not).
- Displacement: a more reactive metal displaces a less reactive one (Zn + CuSO₄ → ZnSO₄ + Cu), or a more reactive halogen displaces another (Cl₂ + 2KBr → 2KCl + Br₂).
- Disproportionation: the same element is both oxidised and reduced. Examples: 2H₂O₂ → 2H₂O + O₂ (O: −1 → −2 and 0); Cl₂ + 2OH⁻ → Cl⁻ + ClO⁻ + H₂O; P₄ + 3OH⁻ + 3H₂O → PH₃ + 3H₂PO₂⁻.
- Comproportionation is the reverse: two ONs of an element combine to an intermediate ON.
- Fluorine cannot disproportionate because it has only one negative ON (−1) and no positive ON.
5. Balancing Redox Equations
Ion–electron (half-reaction) method
- Split the reaction into oxidation and reduction half-reactions.
- Balance atoms other than O and H.
- Balance O by adding H₂O; balance H by adding H⁺ (in acid).
- Balance charge by adding electrons.
- Multiply the half-reactions so that the electrons lost equal the electrons gained, then add them.
- In basic medium, add OH⁻ to both sides to cancel H⁺ (forming H₂O).
Oxidation-number method: find the total increase and total decrease of ON, make them equal with coefficients, then balance O with H₂O and H with H⁺ (or OH⁻).
| Oxidant | Medium | Change | Electrons gained |
|---|---|---|---|
| MnO₄⁻ | Acidic | → Mn²⁺ (colourless) | 5 |
| MnO₄⁻ | Neutral / weakly basic | → MnO₂ (brown) | 3 |
| MnO₄⁻ | Strongly basic | → MnO₄²⁻ (green) | 1 |
| Cr₂O₇²⁻ | Acidic | → 2Cr³⁺ (green) | 6 |
| H₂O₂ | Acidic | → H₂O | 2 |
6. Redox Titrations and Equivalents
- In a redox titration, the moles of electrons given by the reducing agent equal the moles of electrons taken by the oxidising agent.
- Useful relation: n₁ × (moles of oxidant) = n₂ × (moles of reductant), where n is the change in electrons per formula unit (the n-factor).
- KMnO₄ acts as its own indicator (the first extra drop turns the solution pink). Dichromate titrations use an indicator such as diphenylamine.
- Redox reactions are also the basis of electrochemical cells: the more negative electrode potential belongs to the stronger reducing agent (see Electrochemistry).
7. Formula Master Table
| Quantity | Rule / formula |
|---|---|
| Sum of ONs | 0 (molecule) or ion charge |
| Oxidation | ON increases; electrons lost |
| Reduction | ON decreases; electrons gained |
| n-factor (redox) | change in ON × atoms per formula unit |
| Titration equality | n₁M₁V₁ = n₂M₂V₂ |
| Equivalent weight | molar mass/n-factor |
| MnO₄⁻ half-reaction (acid) | MnO₄⁻ + 8H⁺ + 5e⁻ → Mn²⁺ + 4H₂O |
| Cr₂O₇²⁻ half-reaction (acid) | Cr₂O₇²⁻ + 14H⁺ + 6e⁻ → 2Cr³⁺ + 7H₂O |
8. Master Summary Table
| Concept | Key idea | NEET Note |
|---|---|---|
| Oxidising agent | Gains electrons | Its ON falls |
| Reducing agent | Loses electrons | Its ON rises |
| Fractional ON | Average value | Fe₃O₄, S₄O₆²⁻ |
| Peroxide trap | O = −1 | CrO₅, H₂SO₅ |
| Disproportionation | Same element up and down | H₂O₂, Cl₂ in alkali, P₄ |
| KMnO₄ n-factor | 5 / 3 / 1 | Acid / neutral / strong base |
| Balancing | Electrons lost = gained | Then atoms and charge |
9. Mind Map
- Oxygen/hydrogen
- Electron transfer
- ON change
- Rules
- Fractional ON
- Peroxides
- Combination
- Displacement
- Disproportionation
- Half-reaction
- ON method
- Titrations
10. Tips and Tricks
- A species with an element in its highest ON (KMnO₄, K₂Cr₂O₇, HNO₃) can only act as an oxidising agent.
- A species with an element in its lowest ON (H₂S, NH₃, I⁻) can only act as a reducing agent.
- Species in an intermediate ON (H₂O₂, SO₂, HNO₂) can act as both, and can disproportionate.
- Check a balanced equation by confirming both atoms and total charge are equal.
- Giving Cr in CrO₅ an ON of +10 (it is +6, because of peroxide oxygen).
- Treating the fractional ON in S₄O₆²⁻ as the ON of each S atom.
- Assuming every decomposition reaction is a redox reaction.
- Using n = 5 for KMnO₄ in a neutral solution.
11. Important One-liners
- Oxidation and reduction always occur together.
- Fluorine is the strongest oxidising agent and always has ON −1.
- Oxygen has ON +2 in OF₂.
- Hydrogen has ON −1 in metal hydrides such as NaH.
- H₂O₂ can act both as an oxidising and a reducing agent.
- The reaction Cl₂ + 2NaOH → NaCl + NaOCl + H₂O is a disproportionation.
- KMnO₄ titrations need no external indicator.
12. Solved Numericals: Average to Advanced
Five average and five advanced numericals. Atomic mass of Fe = 55.85. Click to reveal each answer and working.
Average level
Find the oxidation number of Cr in K₂Cr₂O₇, S in H₂SO₄ and Mn in KMnO₄.
Show answer & solution
Concept: the ONs in a neutral compound add up to zero.
- K₂Cr₂O₇: 2(+1) + 2x + 7(−2) = 0 ⇒ 2x = 12 ⇒ x = +6.
- H₂SO₄: 2(+1) + x + 4(−2) = 0 ⇒ x = +6.
- KMnO₄: +1 + x + 4(−2) = 0 ⇒ x = +7.
Answer: Cr +6; S +6; Mn +7
Find the average oxidation number of S in Na₂S₄O₆ and of Fe in Fe₃O₄.
Show answer & solution
Concept: the average ON can be a fraction.
- Na₂S₄O₆: 2(+1) + 4x + 6(−2) = 0 ⇒ 4x = 10 ⇒ x = +2.5.
- Fe₃O₄: 3x + 4(−2) = 0 ⇒ x = +8/3 ≈ +2.67 (really one Fe²⁺ and two Fe³⁺).
Answer: S +2.5; Fe +8/3
In the reaction Zn + CuSO₄ → ZnSO₄ + Cu, identify the species oxidised, the species reduced, the oxidising agent and the reducing agent. How many electrons are transferred per zinc atom?
Show answer & solution
Concept: follow the change in ON.
- Zn: 0 → +2 (oxidised; it is the reducing agent).
- Cu: +2 → 0 (Cu²⁺ is reduced; it is the oxidising agent).
- Each Zn atom loses 2 electrons. Sulphate is a spectator ion.
Answer: Zn oxidised (reducing agent); Cu²⁺ reduced (oxidising agent); 2 electrons
Balance MnO₄⁻ + Fe²⁺ → Mn²⁺ + Fe³⁺ in acidic solution.
Show answer & solution
Concept: half-reaction method.
- Reduction: MnO₄⁻ + 8H⁺ + 5e⁻ → Mn²⁺ + 4H₂O.
- Oxidation: Fe²⁺ → Fe³⁺ + e⁻ (multiply by 5).
- Add: MnO₄⁻ + 5Fe²⁺ + 8H⁺ → Mn²⁺ + 5Fe³⁺ + 4H₂O (charge: +17 = +17 ✓).
Answer: MnO₄⁻ + 5Fe²⁺ + 8H⁺ → Mn²⁺ + 5Fe³⁺ + 4H₂O
Show that Cl₂ + 2OH⁻ → Cl⁻ + ClO⁻ + H₂O is a disproportionation reaction.
Show answer & solution
Concept: the same element must be both oxidised and reduced.
- Cl in Cl₂: 0.
- Cl in Cl⁻: −1 (reduced); Cl in ClO⁻: +1 (oxidised).
- Chlorine goes both down and up in ON, so this is disproportionation.
Answer: chlorine changes from 0 to −1 and +1 at the same time
Advanced level
Balance Cr₂O₇²⁻ + SO₂ → Cr³⁺ + SO₄²⁻ in acidic solution.
Show answer & solution
Concept: half-reaction method.
- Reduction: Cr₂O₇²⁻ + 14H⁺ + 6e⁻ → 2Cr³⁺ + 7H₂O.
- Oxidation: SO₂ + 2H₂O → SO₄²⁻ + 4H⁺ + 2e⁻ (multiply by 3).
- Add and cancel: Cr₂O₇²⁻ + 3SO₂ + 2H⁺ → 2Cr³⁺ + 3SO₄²⁻ + H₂O.
- Check: O 13 = 13; H 2 = 2; charge 0 = 0 ✓.
Answer: Cr₂O₇²⁻ + 3SO₂ + 2H⁺ → 2Cr³⁺ + 3SO₄²⁻ + H₂O
Balance MnO₄⁻ + I⁻ → MnO₂ + IO₃⁻ in basic solution.
Show answer & solution
Concept: balance as in acid, then add OH⁻ to both sides.
- Reduction: MnO₄⁻ + 4H⁺ + 3e⁻ → MnO₂ + 2H₂O (× 2).
- Oxidation: I⁻ + 3H₂O → IO₃⁻ + 6H⁺ + 6e⁻.
- Add: 2MnO₄⁻ + I⁻ + 2H⁺ → 2MnO₂ + IO₃⁻ + H₂O.
- Add 2OH⁻ to both sides: 2MnO₄⁻ + I⁻ + H₂O → 2MnO₂ + IO₃⁻ + 2OH⁻ (charge −3 = −3 ✓).
Answer: 2MnO₄⁻ + I⁻ + H₂O → 2MnO₂ + IO₃⁻ + 2OH⁻
What volume of 0.02 M KMnO₄ is needed to oxidise 25 mL of 0.1 M FeSO₄ in acidic solution?
Show answer & solution
Concept: MnO₄⁻ : Fe²⁺ = 1 : 5 (from N4).
- Moles of Fe²⁺ = 0.1 × 0.025 = 2.5 × 10⁻³.
- Moles of MnO₄⁻ = 2.5 × 10⁻³/5 = 5 × 10⁻⁴.
- V = 5 × 10⁻⁴/0.02 = 0.025 L = 25 mL.
Answer: 25 mL
Find the oxidation number of phosphorus in H₃PO₂, H₃PO₃ and H₄P₂O₇. How many ionisable hydrogens does each acid have?
Show answer & solution
Concept: sum of ONs = 0; only O–H hydrogens are acidic.
- H₃PO₂: 3 + x − 4 = 0 ⇒ x = +1; one P–OH, so monobasic.
- H₃PO₃: 3 + x − 6 = 0 ⇒ x = +3; two P–OH, so dibasic.
- H₄P₂O₇: 4 + 2x − 14 = 0 ⇒ x = +5; four P–OH, so tetrabasic.
Answer: +1, +3, +5; 1, 2 and 4 ionisable H
20 mL of 0.05 M K₂Cr₂O₇ exactly oxidises an iron(II) solution in acid. Find the mass of iron(II) present.
Show answer & solution
Concept: Cr₂O₇²⁻ gains 6e⁻; each Fe²⁺ loses 1e⁻, so 1 Cr₂O₇²⁻ : 6 Fe²⁺.
- Moles of Cr₂O₇²⁻ = 0.05 × 0.020 = 1 × 10⁻³.
- Moles of Fe²⁺ = 6 × 10⁻³.
- Mass = 6 × 10⁻³ × 55.85 ≈ 0.335 g.
Answer: about 0.335 g
13. NEET-pattern Questions with Detailed Answers
These questions are original and based on concepts that NEET UG asks again and again.
The oxidation number of oxygen in OF₂ is:
- −2
- −1
- +1
- +2
Show solution
F is always −1, so O = +2. This is the classic exception: oxygen is −2 in most compounds, −1 in peroxides and −½ in superoxides.
Answer: (D)
In the reaction 2Na + Cl₂ → 2NaCl, sodium is:
- Reduced
- Oxidised
- Neither
- Both oxidised and reduced
Show solution
Na changes from 0 to +1 by losing an electron, so it is oxidised and acts as the reducing agent. Cl₂ is the species that is reduced.
Answer: (B)
The oxidation number of Cr in CrO₅ is:
- +10
- +6
- +5
- +8
Show solution
CrO₅ has one oxygen at −2 and four peroxide oxygens at −1. So x − 2 − 4 = 0, giving x = +6. The answer +10 assumes every oxygen is −2.
Answer: (B)
Which reaction is NOT a redox reaction?
- CaCO₃ → CaO + CO₂
- 2KClO₃ → 2KCl + 3O₂
- Zn + 2HCl → ZnCl₂ + H₂
- 2H₂O₂ → 2H₂O + O₂
Show solution
In CaCO₃ → CaO + CO₂, no element changes its ON: Ca stays +2, C stays +4 and O stays −2. All the others involve electron transfer.
Answer: (A)
Which species can act ONLY as a reducing agent?
- SO₂
- H₂O₂
- H₂S
- HNO₂
Show solution
In H₂S, sulphur is in its lowest ON (−2), so it can only be oxidised. SO₂, H₂O₂ and HNO₂ have intermediate ONs, so they can act either way.
Answer: (C)
In a neutral or weakly alkaline medium, the number of electrons gained by one MnO₄⁻ ion is:
- 5
- 3
- 1
- 7
Show solution
In neutral or weakly alkaline solution, MnO₄⁻ is reduced to MnO₂ (Mn +7 → +4), a gain of 3 electrons. It gains 5 electrons in acid and 1 electron in strongly basic solution.
Answer: (B)
In the reaction P₄ + 3NaOH + 3H₂O → PH₃ + 3NaH₂PO₂, phosphorus is:
- Only oxidised
- Only reduced
- Both oxidised and reduced
- Neither oxidised nor reduced
Show solution
P starts at 0 in P₄. It goes to −3 in PH₃ (reduced) and to +1 in NaH₂PO₂ (oxidised). This is a disproportionation reaction.
Answer: (C)
In the balanced equation for Cr₂O₇²⁻ + Fe²⁺ + H⁺ → Cr³⁺ + Fe³⁺ + H₂O, the coefficients of Fe²⁺ and H⁺ are:
- 6 and 14
- 3 and 7
- 6 and 7
- 5 and 8
Show solution
Cr₂O₇²⁻ gains 6 electrons and each Fe²⁺ gives 1, so 6 Fe²⁺ are needed. The full equation is Cr₂O₇²⁻ + 6Fe²⁺ + 14H⁺ → 2Cr³⁺ + 6Fe³⁺ + 7H₂O. (D) gives the coefficients for the permanganate reaction.
Answer: (A)
14. Quick Revision Summary
- OIL RIG; oxidising agent is reduced, reducing agent is oxidised.
- ON rules: F −1 always; O −2 except peroxide (−1), superoxide (−½), OF₂ (+2); H −1 in hydrides.
- Fractional ON = average; CrO₅ and H₂SO₅ contain peroxide.
- Disproportionation: H₂O₂, Cl₂/OH⁻, P₄/OH⁻.
- Half-reaction balancing; KMnO₄ n = 5/3/1; K₂Cr₂O₇ n = 6.