📌 Snapshot
- Why a cut apple browns and a battery runs: oxidation numbers, redox types and balancing made easy.
- Oxidation and reduction as loss and gain of electrons, with rules for assigning oxidation numbers, exceptions included.
- Combination, decomposition, displacement and disproportionation, plus the ion electron method for acid and base.
- Redox titrations, the Daniell cell and the electrochemical series, with worked examples and exam traps.
📖 Detailed Notes
Written and reviewed by Akanksha Tiwari, Physics & Chemistry faculty at UniDrill (M.Sc. Physics, Banaras Hindu University · 8 years teaching Class XI–XII science). Based on NCERT Chemistry Class XI, Chapter 7.
Why does a cut apple turn brown?
Bite an apple and leave it. Within minutes the white flesh browns. An iron gate in the monsoon turns to flaky rust. A torch battery lights a bulb, and bleach whitens a shirt. These look unrelated, but all of them are the same event at the atomic level: electrons moving from one species to another. Chemists call these changes redox reactions. Master the bookkeeping of those electrons and you can predict products, balance any equation and understand how a battery works.
From oxygen to electrons: three ways to define it
The definition of oxidation grew as chemists saw more reactions.
| Stage | Oxidation | Reduction | Example |
|---|---|---|---|
| Classical | Addition of oxygen or removal of hydrogen | Removal of oxygen or addition of hydrogen | 2Mg + O₂ → 2MgO; 2HgO → 2Hg + O₂ |
| Extended | Addition of an electronegative element, or removal of an electropositive one | Removal of an electronegative element, or addition of an electropositive one | 2HgCl₂ + SnCl₂ → Hg₂Cl₂ + SnCl₄ (tin gains chlorine) |
| Electronic | Loss of electrons | Gain of electrons | 2Na + Cl₂ → 2NaCl |
| Oxidation number | Increase in oxidation number | Decrease in oxidation number | Works for covalent compounds too |
Oxidation and reduction always happen together, which is why the word is redox. Take 2Na + Cl₂ → 2NaCl. Sodium loses electrons (2Na → 2Na⁺ + 2e⁻), so it is oxidised. Chlorine gains them (Cl₂ + 2e⁻ → 2Cl⁻), so it is reduced. Each of these is called a half reaction.
| Term | Role | What happens to it |
|---|---|---|
| Oxidising agent (oxidant) | Electron acceptor | It is itself reduced |
| Reducing agent (reductant) | Electron donor | It is itself oxidised |
The agent and the process are opposite. The oxidising agent causes oxidation of the other species, but it is reduced. This is a favourite trap.
Competition for electrons. Put a zinc strip in blue copper sulphate and the strip is coated with red copper while the blue fades: Zn + Cu²⁺ → Zn²⁺ + Cu. Zinc wins the competition and the reaction goes almost to completion. A copper strip in silver nitrate turns the solution blue and grows a silver coat: Cu + 2Ag⁺ → Cu²⁺ + 2Ag. But Cu in zinc sulphate does nothing. The order of reducing power is Zn > Cu > Ag, and Co + Ni²⁺ ⇌ Co²⁺ + Ni stops partway because the two metals are close in strength. This ranking becomes the electrochemical series later in the chapter.
Oxidation number: electron bookkeeping
The oxidation number (ON) of an atom is the charge it would have if every bonding pair were handed to the more electronegative atom. It is a counting device, so it can be zero, negative or fractional.
| Rule | Statement | Exceptions to remember |
|---|---|---|
| 1 | ON of an element in its free state is 0 | H₂, O₂, Cl₂, P₄, S₈, Na, Al |
| 2 | ON of a monoatomic ion equals its charge | Na⁺ = +1, Mg²⁺ = +2, Cl⁻ = −1 |
| 3 | Oxygen is usually −2 | −1 in peroxides (H₂O₂, Na₂O₂); −½ in superoxides (KO₂, RbO₂); +2 in OF₂; +1 in O₂F₂ |
| 4 | Hydrogen is usually +1 | −1 in metal hydrides (LiH, NaH, CaH₂) |
| 5 | Fluorine is always −1 | Other halogens are −1 except when bonded to oxygen or a more electronegative halogen |
| 6 | The sum of ONs is 0 in a neutral compound and equals the charge in an ion |
Alkali metals are always +1 and alkaline earth metals +2 in compounds. For a compound, set up one equation and solve.
| Species | Element | Working | ON |
|---|---|---|---|
| K₂Cr₂O₇ | Cr | $2(+1) + 2x + 7(-2) = 0$ | +6 |
| KMnO₄ | Mn | $(+1) + x + 4(-2) = 0$ | +7 |
| NH₄⁺ | N | $x + 4(+1) = +1$ | −3 |
| ClO₄⁻ | Cl | $x + 4(-2) = -1$ | +7 |
| H₂O₂ | O | $2(+1) + 2x = 0$ | −1 |
| NaH | H | $(+1) + x = 0$ | −1 |
| Fe₃O₄ | Fe | $3x + 4(-2) = 0$ | $+\tfrac{8}{3}$ |
| Na₂S₄O₆ | S | $2(+1) + 4x + 6(-2) = 0$ | $+\tfrac{5}{2}$ |
Fractional ONs are averages. In S₄O₆²⁻ the real structure is O₃S–S–S–SO₃. The two terminal sulphur atoms are +5 and the two middle ones are 0, which averages to +5/2. In C₃O₂ (O=C=C=C=O) the two end carbons are +2 and the middle one is 0, giving +4/3. Fe₃O₄ is FeO·Fe₂O₃ (Fe²⁺ and Fe³⁺, average +8/3), and Pb₃O₄ is 2PbO·PbO₂ (two Pb²⁺ and one Pb⁴⁺).
Stock notation writes the ON of a metal as a Roman numeral after its symbol: Au(I)Cl, Au(III)Cl₃, Sn(II)Cl₂, Sn(IV)Cl₄, Mn(IV)O₂, Fe₂(III)O₃. It tells you which oxidised or reduced form you mean.
What the ON tells you about behaviour. An element in its highest ON can only be reduced, so it can only be an oxidising agent. An element in its lowest ON can only be oxidised, so it can only be a reducing agent. In between, it can act as either. The highest ON of a main group element is its group number (or group number minus 10 for groups 13 to 17): Na +1, Mg +2, Al +3, Si +4, P +5, S +6, Cl +7.
| Species | ON of N | Role |
|---|---|---|
| NH₃ | −3 | Lowest, only reducing agent |
| N₂ | 0 | Both |
| HNO₂ | +3 | Both |
| HNO₃ | +5 | Highest, only oxidising agent |
Beyond the textbook. For the exam: the ON of C in CO₂ is +4 and of H in HCl is +1. In reality: these are not real charges. In CO₂ and HCl the electrons are shared unequally, not handed over, so carbon is far from a true C⁴⁺ ion. Real charge transfer happens only in ionic compounds like NaCl. Why it matters: the ON is a bookkeeping rule that gives correct stoichiometry, but you should not use it to predict bond polarity or geometry.
Types of redox reactions
Almost every redox reaction you will meet fits one of four patterns.
| Type | Pattern | Examples | Key test |
|---|---|---|---|
| Combination | A + B → C | C + O₂ → CO₂; 3Mg + N₂ → Mg₃N₂ | At least one reactant is an element |
| Decomposition | AB → A + B | 2H₂O → 2H₂ + O₂; 2NaH → 2Na + H₂; 2KClO₃ → 2KCl + 3O₂ | At least one product is an element |
| Displacement | X + YZ → XZ + Y | Zn + CuSO₄ → ZnSO₄ + Cu | Metal or non-metal replaces an ion |
| Disproportionation | One species oxidised and reduced | 2H₂O₂ → 2H₂O + O₂ | Intermediate ON goes both up and down |
Not every combination or decomposition is redox. CaCO₃ → CaO + CO₂ has no change in ON anywhere, and no product is an element. All combustion of dioxygen is redox.
Pause and predict: in 2NaH → 2Na + H₂, which element is oxidised?
Check your answer: hydrogen. In the hydride H is −1, and it ends as H₂ at 0, so it loses electrons. Sodium goes from +1 to 0 and is reduced. Students who assume H is always +1 get this backwards.
Displacement reactions come in two kinds.
| Kind | Examples | Pattern |
|---|---|---|
| Metal displacement | CuSO₄ + Zn → ZnSO₄ + Cu; TiCl₄ + 2Mg → Ti + 2MgCl₂; Cr₂O₃ + 2Al → Al₂O₃ + 2Cr | A more active metal takes the place of a less active one. Industrial extraction of metals |
| Hydrogen displacement | 2Na + 2H₂O → 2NaOH + H₂; Mg + 2H₂O(steam) → Mg(OH)₂ + H₂; Zn + 2HCl → ZnCl₂ + H₂ | Alkali metals and Ca, Sr, Ba react with cold water. Mg and Fe need steam. Zn, Mg, Fe, Cd and Sn liberate H₂ from acids. Cu, Ag and Au do not |
| Halogen displacement | Cl₂ + 2KBr → 2KCl + Br₂; Cl₂ + 2KI → 2KCl + I₂; Br₂ + 2KI → 2KBr + I₂ | Reactivity F > Cl > Br > I. A stronger halogen displaces a weaker one from its halide |
The halogen displacement is the basis of the layer test: shake with CCl₄ and the organic layer turns orange brown for Br₂ or violet for I₂.
Beyond the textbook. For the exam: a more active metal displaces a less active metal from its compound, e.g. Al displaces Cr from Cr₂O₃. In reality: the same idea is the thermite reaction, Fe₂O₃ + 2Al → Al₂O₃ + 2Fe, which releases so much heat that the iron comes out molten and is used to weld railway tracks. Why it matters: the reaction runs because aluminium is a much stronger reducing agent than iron.
Disproportionation needs an element in an intermediate ON that can go both up and down, so it must have at least three possible oxidation states.
| Reaction | Element | ON changes |
|---|---|---|
| 2H₂O₂ → 2H₂O + O₂ | O | −1 → −2 and 0 |
| Cl₂ + 2OH⁻ → ClO⁻ + Cl⁻ + H₂O | Cl | 0 → +1 and −1 |
| P₄ + 3OH⁻ + 3H₂O → PH₃ + 3H₂PO₂⁻ | P | 0 → −3 and +1 |
| S₈ + 12OH⁻ → 4S²⁻ + 2S₂O₃²⁻ + 6H₂O | S | 0 → −2 and +2 |
The chlorine reaction is the basis of household bleach. Two cases cannot disproportionate. Fluorine has no positive ON, since it is the most electronegative element, so with alkali it gives a different reaction (2F₂ + 2OH⁻ → 2F⁻ + OF₂ + H₂O) in which fluorine is only reduced. Among the chlorine oxyanions ClO⁻ (+1), ClO₂⁻ (+3), ClO₃⁻ (+5) and ClO₄⁻ (+7), the last cannot disproportionate because chlorine is already at its highest ON of +7 and can only be reduced.
Balancing redox equations
There are two systematic methods. Both obey the same law: electrons lost equals electrons gained.
| Step | Oxidation number method | Ion electron (half reaction) method |
|---|---|---|
| 1 | Write the skeleton equation | Write the unbalanced ionic equation |
| 2 | Assign ONs, find the oxidant and reductant | Split into oxidation and reduction half reactions |
| 3 | Make total ON increase equal total ON decrease | Balance atoms other than O and H |
| 4 | Balance charge with H⁺ (acid) or OH⁻ (base) | Balance O with H₂O, then H with H⁺ |
| 5 | Balance H with H₂O. Check O | Add electrons to balance charge |
| 6 | Multiply to equalise electrons, add, cancel and check |
Worked example: oxidation number method. Balance Fe₂O₃ + CO → Fe + CO₂.
| Step | What we do | Result |
|---|---|---|
| 1 | Fe goes +3 → 0 (a decrease of 3 per Fe, so 6 for the two in Fe₂O₃). C goes +2 → +4 (an increase of 2) | Oxidant Fe₂O₃, reductant CO |
| 2 | Equalise: 6 = 3 × 2, so one Fe₂O₃ needs three CO | Fe₂O₃ + 3CO → 2Fe + 3CO₂ |
| 3 | Check O: left 3 + 3 = 6, right 6 | Balanced |
Worked example: half reaction method in acid. Balance Cr₂O₇²⁻ + SO₃²⁻ → Cr³⁺ + SO₄²⁻ in acid.
| Step | What we do | Result |
|---|---|---|
| 1 | Reduction: balance Cr, then O with H₂O, H with H⁺, charge with e⁻ | Cr₂O₇²⁻ + 14H⁺ + 6e⁻ → 2Cr³⁺ + 7H₂O |
| 2 | Oxidation: SO₃²⁻ + H₂O → SO₄²⁻ + 2H⁺ + 2e⁻ | Multiply by 3 to get 6e⁻ |
| 3 | Add and cancel 6H⁺ and 3H₂O | Cr₂O₇²⁻ + 3SO₃²⁻ + 8H⁺ → 2Cr³⁺ + 3SO₄²⁻ + 4H₂O |
| 4 | Check charge: left −2 − 6 + 8 = 0, right +6 − 6 = 0 | Balanced |
Worked example: basic medium. Balance MnO₄⁻ + I⁻ → MnO₂ + I₂ in base. Balance as if acidic first, then neutralise.
| Step | What we do | Result |
|---|---|---|
| 1 | Reduction in acid form: MnO₄⁻ + 4H⁺ + 3e⁻ → MnO₂ + 2H₂O | Add 4OH⁻ to both sides: MnO₄⁻ + 2H₂O + 3e⁻ → MnO₂ + 4OH⁻ |
| 2 | Oxidation: 2I⁻ → I₂ + 2e⁻ | |
| 3 | Equalise electrons: reduction × 2, oxidation × 3 | 2MnO₄⁻ + 4H₂O + 6e⁻ → 2MnO₂ + 8OH⁻; 6I⁻ → 3I₂ + 6e⁻ |
| 4 | Add | 2MnO₄⁻ + 6I⁻ + 4H₂O → 3I₂ + 2MnO₂ + 8OH⁻ |
| 5 | Check charge: −2 − 6 = −8 and −8 | Balanced |
The common wrong step: adding OH⁻ to one side only, or leaving H⁺ in the final equation of a basic medium.
Pause and predict: can H⁺ appear in the final balanced equation of a reaction in basic solution?
Check your answer: no. Whenever H⁺ appears during balancing, add the same number of OH⁻ to both sides, combine H⁺ + OH⁻ into H₂O and cancel any water that repeats. The final basic equation shows OH⁻ and H₂O only.
Redox titrations
Redox reactions can be used to measure concentrations, and the main problem is spotting the end point. Three situations cover the exam.
| Titration | Indicator | How the end point shows |
|---|---|---|
| KMnO₄ against Fe²⁺ or oxalate | None, KMnO₄ is self indicator | The first permanent pink colour of excess MnO₄⁻ (about 10⁻⁶ mol L⁻¹ is visible) |
| K₂Cr₂O₇ | Diphenylamine | It is oxidised just after the equivalence point to an intense blue. Dichromate itself is not a self indicator |
| Iodometry: Cu²⁺ + I⁻ liberates I₂, which is titrated with S₂O₃²⁻ | Starch | The deep blue starch iodine colour disappears at the end point |
The thiosulphate reaction is I₂ + 2S₂O₃²⁻ → 2I⁻ + S₄O₆²⁻, in which S goes from +2 to the average +5/2.
Worked example: a permanganate titration. How many mL of 0.020 M KMnO₄ are needed to oxidise 20 mL of 0.10 M FeSO₄ in acid? MnO₄⁻ + 5Fe²⁺ + 8H⁺ → Mn²⁺ + 5Fe³⁺ + 4H₂O.
| Step | What we do | Result |
|---|---|---|
| 1 | Moles of Fe²⁺ $= 0.10 \times 20$ mL | 2.0 mmol |
| 2 | The equation says 1 MnO₄⁻ oxidises 5 Fe²⁺, so MnO₄⁻ $= 2.0/5$ | 0.40 mmol |
| 3 | Volume $= 0.40\ \text{mmol} / 0.020\ \text{M}$ | 20 mL |
The common wrong step: treating the reaction as 1 : 1. Always take the ratio from the balanced equation (here each MnO₄⁻ gains 5 electrons and each Fe²⁺ loses 1).
Beyond the textbook. For the exam: KMnO₄ titrations are done in acid, using dilute sulphuric acid. In reality: the acid is never HCl, because MnO₄⁻ (E° = +1.51 V) is strong enough to oxidise Cl⁻ (Cl₂/Cl⁻ is +1.36 V) and some of the permanganate would be wasted on the acid. Nitric acid is avoided because it is itself an oxidant. Why it matters: the choice of acid shows how electrode potentials decide which reactions can compete.
Redox and electricity: the Daniell cell
When Zn is placed in CuSO₄ solution, electrons jump directly from Zn to Cu²⁺ and the energy is lost as heat. Separate the two halves into two beakers, zinc rod in ZnSO₄ and copper rod in CuSO₄, join them with a wire and a salt bridge, and the electrons are forced through the wire. That is the Daniell cell: the same reaction, now producing current.
| Part | Reaction / role |
|---|---|
| Zinc half cell (oxidation) | Zn → Zn²⁺ + 2e⁻. Electrons are released here |
| Copper half cell (reduction) | Cu²⁺ + 2e⁻ → Cu. Electrons are used here |
| External wire | Electrons flow from Zn to Cu. Conventional current flows the opposite way |
| Salt bridge | U tube of KCl or NH₄NO₃ in agar. Ions migrate to keep each beaker neutral and complete the circuit without mixing the solutions |
Each half cell is a redox couple: the oxidised and reduced forms of the same species, written oxidised first (Zn²⁺/Zn, Cu²⁺/Cu). Each has an electrode potential, the tendency of the couple to stay in its reduced or oxidised form. Under standard conditions (unit concentration, 1 bar for gases, 298 K) it is the standard electrode potential E°, measured against the standard hydrogen electrode, whose E° (H⁺/H₂) is fixed at 0.00 V.
| Couple | E° (V) | Meaning |
|---|---|---|
| Li⁺/Li | −3.05 | Strongest reducing agent in the list |
| K⁺/K | −2.93 | |
| Ca²⁺/Ca | −2.87 | |
| Na⁺/Na | −2.71 | |
| Mg²⁺/Mg | −2.36 | |
| Al³⁺/Al | −1.66 | |
| Zn²⁺/Zn | −0.76 | |
| Fe²⁺/Fe | −0.44 | |
| H⁺/H₂ | 0.00 | Reference |
| Cu²⁺/Cu | +0.34 | |
| I₂/I⁻ | +0.54 | |
| Fe³⁺/Fe²⁺ | +0.77 | |
| Ag⁺/Ag | +0.80 | |
| Br₂/Br⁻ | +1.09 | |
| Cl₂/Cl⁻ | +1.36 | |
| Cr₂O₇²⁻/Cr³⁺ | +1.33 | |
| MnO₄⁻/Mn²⁺ | +1.51 | |
| F₂/F⁻ | +2.87 | Strongest oxidising agent in the list |
Read the table with two rules. A more negative E° means the metal (reduced form) is a stronger reducing agent. A more positive E° means the oxidised form is a stronger oxidising agent. So the oxidised form of a couple with higher E° will oxidise the reduced form of a couple with lower E°. A negative E° also means the metal is a better reducing agent than hydrogen, which is why it can liberate H₂ from acids.
Worked example: will it react? Use the E° values above to decide.
| Mixture | Compare | Verdict |
|---|---|---|
| Zn + Cu²⁺ | Cu²⁺/Cu (+0.34) is higher than Zn²⁺/Zn (−0.76) | Yes: Zn + Cu²⁺ → Zn²⁺ + Cu. The Daniell cell has a driving force of $0.34 - (-0.76) = 1.10$ V |
| Cu + Zn²⁺ | Zn²⁺/Zn is lower than Cu²⁺/Cu | No reaction |
| Cu + 2Ag⁺ | Ag⁺/Ag (+0.80) is higher than Cu²⁺/Cu (+0.34) | Yes: Cu + 2Ag⁺ → Cu²⁺ + 2Ag |
| Cu + dilute HCl | Cu²⁺/Cu (+0.34) is higher than H⁺/H₂ (0.00) | No H₂ is produced. Cu is a weaker reducing agent than H₂ |
| Cl₂ + 2Br⁻ | Cl₂/Cl⁻ (+1.36) is higher than Br₂/Br⁻ (+1.09) | Yes: Cl₂ + 2Br⁻ → 2Cl⁻ + Br₂ |
The common wrong step: reading the sign backwards and saying that the metal with a more positive E° is the better reducing agent. It is the better oxidising agent (as an ion).
Exam traps
| The trap | Why it's tempting | The truth |
|---|---|---|
| "Every decomposition reaction is redox." | A compound is breaking into pieces | Only if an element is produced. CaCO₃ → CaO + CO₂ has no ON change |
| "Oxygen is always −2." | It is the usual value | −1 in H₂O₂, −½ in KO₂, +2 in OF₂ |
| "Hydrogen is always +1." | Same habit | −1 in NaH, LiH, CaH₂ |
| "An oxidising agent is oxidised." | The words sound the same | It oxidises the other species and is itself reduced |
| "A fractional ON means a fractional charge." | The number is not whole | It is an average over atoms in different states, like S in S₄O₆²⁻ |
| "ClO₄⁻ or F₂ can disproportionate." | Chlorine and fluorine are in the same family as Cl₂ | ClO₄⁻ is already +7 and F has no positive state |
| "K₂Cr₂O₇ is a self indicator like KMnO₄." | Both are deeply coloured | Only KMnO₄ is. Dichromate needs diphenylamine |
| "Higher E° means a better reducing agent." | Higher feels stronger | Higher E° means a better oxidising agent. Lower E° means a better reducing agent |
Reaction sheet
| Idea | Equation | Note |
|---|---|---|
| Electron transfer | 2Na + Cl₂ → 2NaCl | Na oxidised, Cl₂ reduced |
| Metal displacement | Zn + Cu²⁺ → Zn²⁺ + Cu | Zn above Cu in reducing power |
| Thermite | Fe₂O₃ + 2Al → Al₂O₃ + 2Fe | Al is the reductant |
| Halogen displacement | Cl₂ + 2KI → 2KCl + I₂ | Cl₂ is the stronger oxidant |
| Disproportionation | Cl₂ + 2OH⁻ → ClO⁻ + Cl⁻ + H₂O | Cl: 0 → +1 and −1 |
| Acid medium | MnO₄⁻ + 5Fe²⁺ + 8H⁺ → Mn²⁺ + 5Fe³⁺ + 4H₂O | 5 electrons per MnO₄⁻ |
| Acid medium | Cr₂O₇²⁻ + 6Fe²⁺ + 14H⁺ → 2Cr³⁺ + 6Fe³⁺ + 7H₂O | 6 electrons per Cr₂O₇²⁻ |
| Basic medium | 2MnO₄⁻ + 6I⁻ + 4H₂O → 2MnO₂ + 3I₂ + 8OH⁻ | Balance in acid, then neutralise |
| Iodometry | I₂ + 2S₂O₃²⁻ → 2I⁻ + S₄O₆²⁻ | Starch end point |
60-second revision
| Topic | Lock this in |
|---|---|
| Electron definitions | Oxidation is loss, reduction is gain. Oxidant gains, reductant loses |
| ON rules | Free element 0. O is −2 except in peroxides −1, superoxides −½, OF₂ +2. H is +1 except in hydrides −1. F is −1 |
| Fractions | Average of different atoms. S₄O₆²⁻ is +5/2, Fe₃O₄ is +8/3 |
| Extremes | Highest ON: only oxidant. Lowest ON: only reductant |
| Types | Combination and decomposition need an element. Displacement. Disproportionation |
| Not redox | CaCO₃ → CaO + CO₂ and double decomposition |
| Disproportionation | Needs three states. F₂ and ClO₄⁻ cannot |
| Balancing | Electrons lost = electrons gained. Basic medium: balance in acid, add OH⁻ |
| Titration | KMnO₄ self indicator in dilute H₂SO₄. K₂Cr₂O₇ with diphenylamine. Iodometry with starch |
| Cell | Oxidation at Zn, reduction at Cu. Electrons Zn to Cu through wire |
| Series | Low E° strong reductant. High E° strong oxidant. H⁺/H₂ is 0 |
Where this chapter connects
- Before this: Equilibrium covered the balance of proton transfer, and Classification of Elements and Periodicity in Properties explains why elements have the oxidation states and electronegativity values you have just used.
- Next: Organic Chemistry: Some Basic Principles and Techniques moves to carbon compounds, where oxidation and reduction appear as gain of oxygen or loss of hydrogen.
- Forward link: Electrochemistry builds cell potentials and the Nernst equation on the Daniell cell, and The d and f Block Elements uses oxidation states and KMnO₄ and K₂Cr₂O₇ chemistry heavily.
🎯 Practice MCQs
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Q1. The average oxidation number of sulphur in the tetrathionate ion S₄O₆²⁻ is
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Answer: B
$4x + 6(-2) = -2$ gives $x = +2.5$. The structure has two terminal sulphur atoms at +5 and two middle ones at 0, so the value is an average. Option A and C are whole number guesses, and option D is the ON of only the terminal sulphur atoms.
Q2. In which of the following compounds does oxygen have a positive oxidation number?
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Answer: C
Fluorine is more electronegative than oxygen, so in OF₂ fluorine is −1 and oxygen is +2. Oxygen is −1 in the peroxide H₂O₂, −½ in the superoxide KO₂ and −2 in the oxide Na₂O.
Q3. Which of the following is a redox reaction?
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Answer: B
In option B chlorine goes from +5 to −1 and oxygen from −2 to 0, so there is a change in ON and an element is produced. Options A, C and D involve no change in the oxidation number of any atom.
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Q4. Which of the following ions cannot undergo disproportionation?
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Answer: D
Disproportionation needs the element to be both oxidised and reduced. In ClO₄⁻ chlorine is already at +7, its highest ON, so it can only be reduced. ClO⁻ (+1), ClO₂⁻ (+3) and ClO₃⁻ (+5) are intermediate states and can go both up and down.
Q5. In the balanced equation MnO₄⁻ + aFe²⁺ + bH⁺ → Mn²⁺ + aFe³⁺ + cH₂O in acid, the value of a + b is
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Answer: C
MnO₄⁻ gains 5 electrons (Mn +7 to +2) and each Fe²⁺ loses 1, so a = 5. Eight H⁺ are needed to remove four O as 4H₂O, so b = 8 and c = 4. Then a + b = 13. The other options come from using a wrong coefficient for H⁺ or for Fe²⁺.
Q6. In the reaction 6Fe²⁺ + Cr₂O₇²⁻ + 14H⁺ → 6Fe³⁺ + 2Cr³⁺ + 7H₂O, how many moles of electrons are transferred per mole of Cr₂O₇²⁻?
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Answer: B
Each of the two Cr atoms goes from +6 to +3, gaining 3 electrons, so 6 per Cr₂O₇²⁻. This matches the six Fe²⁺ each losing one electron. Option A counts one Cr only, option C double counts, and option D is the number of H⁺, which are not electron carriers.
Q7. Which of the following reactions is feasible?
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Answer: C
A halogen displaces a less reactive halogen from its halide, and the order of oxidising power is Cl₂ > Br₂ > I₂. Only chlorine displacing iodine follows this order. In the other three options the weaker halogen is trying to oxidise the halide of a stronger one.
Q8. Match List I with List II. List I: (i) oxygen in OF₂ (ii) oxygen in H₂O₂ (iii) oxygen in KO₂ (iv) iron in Fe₃O₄. List II: (p) −1/2 (q) +2 (r) −1 (s) +8/3.
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Answer: A
OF₂ gives +2, the peroxide H₂O₂ gives −1, the superoxide KO₂ gives −½ and Fe₃O₄ gives an average of +8/3. Option B swaps the peroxide and superoxide, option C swaps OF₂ and H₂O₂, and option D swaps KO₂ and Fe₃O₄.
Q9. Given E° values: Zn²⁺/Zn = −0.76 V, Fe²⁺/Fe = −0.44 V, Cu²⁺/Cu = +0.34 V, Ag⁺/Ag = +0.80 V. Which of the following reactions occurs spontaneously under standard conditions?
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Answer: B
A species reduces the ion of a couple that has a higher E°. Ag⁺/Ag (+0.80) is higher than Cu²⁺/Cu (+0.34), so Cu reduces Ag⁺. In A, C and D the metal on the left lies higher (less negative or more positive) than the ion it is supposed to reduce, so no reaction occurs.
Q10. How many mL of 0.040 M KMnO₄ are needed to oxidise 40 mL of 0.050 M FeSO₄ in acidic medium?
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Answer: B
Fe²⁺ $= 0.050 \times 40 = 2.0$ mmol. One MnO₄⁻ oxidises 5 Fe²⁺, so MnO₄⁻ $= 0.40$ mmol, and the volume is $0.40/0.040 = 10$ mL. Option D treats the reaction as 1 : 1, option C halves the moles of permanganate by mistake, and option A divides by 5 twice.
Q11. Assertion (A): Fluorine does not undergo disproportionation. Reason (R): Fluorine is the most electronegative element and shows no positive oxidation state.
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Answer: A
Disproportionation needs the element to move both up and down from its starting ON. Fluorine is at 0 in F₂ and the only other state it can reach is −1, because it cannot lose electrons to a more electronegative atom. So R is true and it is the reason for A.
Q12. Consider the statements. I. All combustion reactions of dioxygen are redox reactions. II. The decomposition CaCO₃ → CaO + CO₂ is a redox reaction. III. In 2NaH → 2Na + H₂ hydrogen is oxidised. IV. Every displacement reaction X + YZ → XZ + Y is a redox reaction. Which statements are correct?
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Answer: B
Dioxygen is an element and ends up at −2, so combustion is redox (I). Hydrogen in NaH is −1 and ends at 0, so it is oxidised (III). In a displacement the element X changes from 0 to a positive state, so the reaction is redox (IV). The decomposition of CaCO₃ shows no ON change, so II is false, which eliminates A, C and D.
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