Classical Concept of Oxidation and Reduction
In classical chemistry, oxidation meant combination with oxygen and reduction meant removal of oxygen. Over time, this definition was extended.
Classical definitions:
- Oxidation: addition of oxygen, or removal of hydrogen.
Example: 2Mg + O₂ → 2MgO (Mg is oxidised by gaining O) - Reduction: removal of oxygen, or addition of hydrogen.
Example: CuO + H₂ → Cu + H₂O (CuO is reduced — loses O)
In the reaction above, H₂ is the reducing agent (it gets oxidised), and CuO is the oxidising agent (it gets reduced). Oxidation and reduction always occur together — you cannot have one without the other. This is why they are called redox reactions.
Electronic Concept of Oxidation and Reduction
The modern electronic definition is much broader and covers all redox reactions:
- Oxidation: loss of electrons (electron deficiency).
- Reduction: gain of electrons (electron surplus).
Memory trick: OIL RIG — Oxidation Is Loss, Reduction Is Gain.
Examples:
In the combination reaction Na + Cl₂ → NaCl, sodium is oxidised and chlorine is reduced. Chlorine acts as the oxidising agent (accepts electrons from Na). Sodium acts as the reducing agent (donates electrons to Cl).
Oxidation States
Select a compound to see the oxidation state of each element with step-by-step reasoning using the standard rules.
Key rules (in order of priority)
1. Free elements: ox. state = 0 (Fe, O₂, H₂...)
2. Monoatomic ions: ox. state = charge (Na⁺ = +1)
3. O = −2 (exception: O₂ = 0; H₂O₂ = −1; OF₂ = +2)
4. H = +1 bonded to non-metals; H = −1 in metal hydrides
5. F = −1 always (most electronegative)
6. Halogens Cl, Br, I = −1 unless bonded to O or more electroneg. element
7. Sum of all ox. states = 0 (neutral) or = ionic charge
KMnO₄
+1
K (×1)
+7
Mn (×1)
-2
O (×4)
1
O is −2 (4 × −2 = −8)
2
K is +1 (Group 1)
3
Sum = 0: +1 + Mn + (−8) = 0
4
Mn = +7
The oxidation state (or oxidation number) of an atom is a number that represents the charge the atom would have if the compound were fully ionic (electrons were fully assigned to the more electronegative atom).
Rules for Assigning Oxidation States
- The oxidation state of any free element (in its standard form) is 0. Examples: Na, Fe, O₂, H₂, S₈ all have oxidation state 0.
- The oxidation state of a monoatomic ion equals its charge. Examples: Na⁺ is +1, Fe³⁺ is +3, Cl⁻ is −1.
- Fluorine is always −1 in compounds (it is the most electronegative element).
- Oxygen is usually −2 in compounds. Exceptions: peroxides (H₂O₂, Na₂O₂) where O is −1; superoxides (KO₂) where O is −½; OF₂ where O is +2 (because F is more electronegative).
- Hydrogen is +1 when bonded to non-metals (e.g., HCl, H₂O) and −1 when bonded to metals (metal hydrides like NaH, CaH₂).
- The sum of oxidation states of all atoms in a neutral molecule = 0. The sum in an ion = charge of the ion.
Let us find the oxidation state of Cr in K₂Cr₂O₇:
So Cr is +6 in K₂Cr₂O₇.
Useful Oxidation States to Remember
| Species | Oxidation State |
|---|---|
| H₂O₂, Na₂O₂ | O is −1 |
| OF₂ | O is +2 |
| NaH, CaH₂ | H is −1 |
| SO₄²⁻ | S is +6 |
| NO₃⁻ | N is +5 |
| ClO₄⁻ | Cl is +7 |
| MnO₄⁻ | Mn is +7 |
| Cr₂O₇²⁻ | Cr is +6 |
| Fe₃O₄ | Fe is mixed: one +2 and two +3 (average +8/3) |
Oxidising and Reducing Agents
In a redox reaction:
- The oxidising agent (oxidant) accepts electrons and gets reduced. Its oxidation state decreases.
- The reducing agent (reductant) donates electrons and gets oxidised. Its oxidation state increases.
Example: In the reaction 2KMnO₄ + 10FeSO₄ + 8H₂SO₄ → K₂SO₄ + 2MnSO₄ + 5Fe₂(SO₄)₃ + 8H₂O:
- Mn goes from +7 (in KMnO₄) to +2 (in MnSO₄): reduction of 5 per Mn → KMnO₄ is the oxidising agent.
- Fe goes from +2 (in FeSO₄) to +3 (in Fe₂(SO₄)₃): oxidation of 1 per Fe → FeSO₄ is the reducing agent.
Common oxidising agents and their reduced forms:
| Oxidising Agent | Reduced Form | Change in OS |
|---|---|---|
| KMnO₄ (in acidic medium) | Mn²⁺ | Mn: +7 → +2 |
| KMnO₄ (in neutral/alkaline) | MnO₂ | Mn: +7 → +4 |
| K₂Cr₂O₇ (in acidic medium) | Cr³⁺ | Cr: +6 → +3 |
| H₂O₂ | H₂O | O: −1 → −2 |
| O₃ | O₂ | O: 0 → 0 (net) |
| Cl₂ | Cl⁻ | Cl: 0 → −1 |
| Conc. H₂SO₄ | SO₂ | S: +6 → +4 |
| Conc. HNO₃ | NO₂ | N: +5 → +4 |
| Dilute HNO₃ | NO | N: +5 → +2 |
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Types of Redox Reactions
1. Combination Reactions
Two reactants combine to form a single product. At least one element must change oxidation state.
Mg: 0 → +2 (oxidised); O: 0 → −2 (reduced).
2. Decomposition Reactions
A single compound breaks down. At least one element must change oxidation state.
O in H₂O₂: −1 → −2 (in H₂O, reduced) and −1 → 0 (in O₂, oxidised). This is a disproportionation.
3. Displacement Reactions
One element displaces another from its compound. The more reactive metal displaces the less reactive one.
Zn: 0 → +2 (oxidised); Cu: +2 → 0 (reduced). Zinc is above copper in the activity series, so it displaces copper.
4. Disproportionation Reactions
The same element is simultaneously oxidised and reduced. The oxidising agent and the reducing agent are the same substance.
Cl: 0 → −1 (in NaCl, reduced) and 0 → +1 (in NaOCl, oxidised).
5. Comproportionation Reactions
Two different oxidation states of the same element combine to give an intermediate oxidation state. The reverse of disproportionation.
Balancing Redox Equations: Oxidation Number Method
Steps:
- Assign oxidation states to all atoms and identify which element is oxidised and which is reduced.
- Calculate the change in oxidation state (increase for oxidation, decrease for reduction).
- Multiply the formulas of the oxidised and reduced species so that the total increase in oxidation state equals the total decrease (electrons lost = electrons gained).
- Balance the remaining atoms by inspection (first O, then H using H₂O).
- Check the overall charge balance.
Example: Balance Fe²⁺ + MnO₄⁻ → Fe³⁺ + Mn²⁺ (in acidic medium).
Fe²⁺ → Fe³⁺: change = +1 (oxidised). Mn⁷⁺ → Mn²⁺: change = −5 (reduced). To balance: 5 Fe²⁺ for every 1 MnO₄⁻.
Balancing Redox Equations: Ion-Electron (Half-Reaction) Method
Walk through the half-reaction method for balancing redox equations. Reveal each step in sequence.
Unbalanced
MnO₄⁻ + Fe²⁺ → Mn²⁺ + Fe³⁺
Medium: acidic
This method works well in acidic or basic media. Steps:
- Split the reaction into two half-reactions: one for oxidation, one for reduction.
- Balance each half-reaction:
- Balance all atoms except H and O.
- In acidic medium: add H₂O to balance O, then add H⁺ to balance H.
- In basic medium: add OH⁻ to balance O and H.
- Add electrons to balance the charge.
- Multiply each half-reaction by an integer so that electrons lost = electrons gained.
- Add the two half-reactions and cancel species that appear on both sides.
Example (acidic medium): Cr₂O₇²⁻ + Fe²⁺ → Cr³⁺ + Fe³⁺.
Reduction half: Cr₂O₇²⁻ + 14H⁺ + 6e⁻ → 2Cr³⁺ + 7H₂O
Oxidation half: Fe²⁺ → Fe³⁺ + e⁻ (multiply by 6)
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Electrochemical Cells
An electrochemical cell converts chemical energy into electrical energy using a spontaneous redox reaction. It is also called a galvanic cell or voltaic cell.
Structure of a Galvanic Cell (Daniell Cell)
The Daniell cell uses the reaction: Zn + Cu²⁺ → Zn²⁺ + Cu.
- Anode (negative electrode): Zinc electrode dipped in ZnSO₄ solution. Oxidation occurs here: Zn → Zn²⁺ + 2e⁻.
- Cathode (positive electrode): Copper electrode dipped in CuSO₄ solution. Reduction occurs here: Cu²⁺ + 2e⁻ → Cu.
- Salt bridge: Connects the two half-cells. Contains an inert electrolyte (like KCl or KNO₃) that completes the circuit by allowing ions to flow, maintaining electrical neutrality in both solutions.
- External circuit: Electrons flow from anode (Zn, where they are produced) through the external wire to cathode (Cu, where they are consumed).
Cell notation: Zn | Zn²⁺ (1 M) || Cu²⁺ (1 M) | Cu. The double line (||) represents the salt bridge. Anode is written on the left.
Electrode Potential and Electrochemical Series
The electrode potential (E) is the tendency of an electrode to gain or lose electrons. It is measured relative to the standard hydrogen electrode (SHE), which has E° = 0 V by convention.
The standard electrode potential E° is measured at 298 K, 1 atm, and 1 M concentration of all solutions.
The standard cell potential (electromotive force, EMF) is:
For a spontaneous cell reaction, E°_cell must be positive (ΔG = −nFE°_cell, so positive E means negative ΔG).
Electrochemical Series (Activity Series)
The electrochemical series lists standard reduction potentials from most negative (top, best reducing agents) to most positive (bottom, best oxidising agents).
| Half-reaction (Reduction) | E° (V) |
|---|---|
| Li⁺ + e⁻ → Li | −3.04 |
| Na⁺ + e⁻ → Na | −2.71 |
| Zn²⁺ + 2e⁻ → Zn | −0.76 |
| Fe²⁺ + 2e⁻ → Fe | −0.44 |
| 2H⁺ + 2e⁻ → H₂ (SHE) | 0.00 |
| Cu²⁺ + 2e⁻ → Cu | +0.34 |
| Ag⁺ + e⁻ → Ag | +0.80 |
| Au³⁺ + 3e⁻ → Au | +1.52 |
| F₂ + 2e⁻ → 2F⁻ | +2.87 |
Key uses of the electrochemical series:
- A metal with a more negative E° can displace a metal with a more positive E° from its salt solution. Zn (E° = −0.76 V) can displace Cu (E° = +0.34 V), but Cu cannot displace Zn.
- Metals above hydrogen in the series (E° < 0) can displace H₂ from dilute acids.
- For the Daniell cell: E°_cell = E°_Cu − E°_Zn = 0.34 − (−0.76) = 1.10 V.
Worked NEET Problems
NEET-style problem · Oxidation State
Question
Find the oxidation state of Mn in KMnO₄ and in MnO₂.
Solution
In KMnO₄: K is +1, O is −2 each. Let Mn = x.
In MnO₂: O is −2 each. Let Mn = x.
So Mn is +7 in KMnO₄ and +4 in MnO₂.
NEET-style problem · Identifying Oxidising and Reducing Agents
Question
In the reaction Zn + 2HCl → ZnCl₂ + H₂, identify the oxidising agent and reducing agent.
Solution
Assign oxidation states: Zn: 0 → +2 (increase, oxidised). H in HCl: +1 → 0 in H₂ (decrease, reduced).
Zn is oxidised → Zn is the reducing agent. H⁺ in HCl is reduced → HCl is the oxidising agent.
NEET-style problem · Disproportionation
Question
In the reaction Cl₂ + 2NaOH → NaCl + NaOCl + H₂O, show that Cl₂ undergoes disproportionation.
Solution
In Cl₂: oxidation state of Cl = 0. In NaCl: Cl = −1 (reduced). In NaOCl: Cl = +1 (oxidised).
So Cl₂ is simultaneously oxidised (0 → +1 in NaOCl) and reduced (0 → −1 in NaCl). This is disproportionation.
NEET-style problem · Cell EMF
Question
Calculate the standard EMF of a cell made from Zn and Cu electrodes. E°(Zn²⁺/Zn) = −0.76 V, E°(Cu²⁺/Cu) = +0.34 V.
Solution
Zinc has the more negative E°, so it acts as the anode (gets oxidised). Copper acts as the cathode (gets reduced).
The positive EMF confirms the reaction is spontaneous under standard conditions.
Summary Cheat Sheet
| Concept | Key Point |
|---|---|
| Oxidation | Loss of electrons; oxidation state increases |
| Reduction | Gain of electrons; oxidation state decreases |
| Oxidising agent | Accepts electrons; gets reduced |
| Reducing agent | Donates electrons; gets oxidised |
| OIL RIG | Oxidation Is Loss, Reduction Is Gain |
| O in compounds | Usually −2; except peroxides (−1), OF₂ (+2) |
| H in compounds | +1 with non-metals; −1 with metals (metal hydrides) |
| Sum of OS rule | Sum = 0 for neutral molecule; sum = ionic charge for ions |
| Disproportionation | Same element simultaneously oxidised and reduced |
| Galvanic cell | Chemical → electrical energy; spontaneous (ΔG < 0) |
| Anode | Oxidation (loses electrons); negative in galvanic cell |
| Cathode | Reduction (gains electrons); positive in galvanic cell |
| Cell EMF | E°_cell = E°_cathode − E°_anode (positive = spontaneous) |
| Electrochemical series | More negative E° → better reducing agent; more positive → better oxidising agent |
| KMnO₄ (acid medium) | Mn: +7 → +2; gains 5 electrons per Mn |
| K₂Cr₂O₇ (acid medium) | Cr: +6 → +3; gains 3 electrons per Cr (6 per formula unit) |
Frequently asked questions
How do you find the oxidation state of an element in a compound?
Use these rules in order: (1) Free elements have oxidation state 0. (2) Monatomic ions have OS = their charge. (3) In compounds, F is always −1. (4) O is usually −2 (except in peroxides: −1, in OF₂: +2). (5) H is +1 with non-metals and −1 with metals. (6) The sum of all oxidation states equals the charge of the species (0 for neutral molecules, equal to ionic charge for ions). Apply these rules and solve for the unknown element.
What is the difference between an oxidising agent and a reducing agent?
An oxidising agent (oxidant) accepts electrons — it gets reduced (its oxidation state decreases). A reducing agent (reductant) donates electrons — it gets oxidised (its oxidation state increases). A useful memory trick: OIL RIG — Oxidation Is Loss (of electrons), Reduction Is Gain (of electrons).
What is a disproportionation reaction?
A disproportionation reaction is one in which the same element is simultaneously oxidised and reduced. For example, in 2H₂O₂ → 2H₂O + O₂, oxygen goes from −1 (in H₂O₂) to −2 (in H₂O) and also to 0 (in O₂). So oxygen is both oxidised and reduced.
What is the ion-electron method for balancing redox equations?
Split the reaction into two half-reactions: one for oxidation and one for reduction. Balance each half-reaction separately (balance atoms, then add H₂O for O, H⁺ for H in acidic media, or OH⁻/H₂O in basic media, then add electrons to balance charge). Multiply the half-reactions to equalise electrons, then add them together and cancel common terms.
What is the electrochemical series and why is it useful?
The electrochemical series (electromotive series) is a list of elements (and their ions) arranged in order of their standard reduction potential (E°). Elements higher in the series (more positive E°) are better oxidising agents. Elements lower in the series (more negative E°) are better reducing agents. A metal can displace another metal from its salt solution only if it is above the other metal in the activity series (lower reduction potential).
How is a galvanic cell different from an electrolytic cell?
A galvanic (voltaic) cell converts chemical energy into electrical energy spontaneously (ΔG < 0). Oxidation occurs at the anode (negative terminal in galvanic cells) and reduction at the cathode (positive terminal). An electrolytic cell uses electrical energy to drive a non-spontaneous chemical reaction (ΔG > 0). In electrolytic cells, the anode is connected to the positive terminal of the battery.
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