Redox Reactions — NEET notes

Class 11 Chemistry · NCERT chapter 8 · 6 topics · free to read

Oxidation & Reduction

Oxidation is loss of electrons (increase in oxidation number); reduction is gain of electrons (decrease in oxidation number). Three historical definitions evolved: classical (O₂/H₂ gain/loss), electronic (electron transfer), and oxidation number based. In any redox reaction, oxidation and reduction always occur simultaneously.

Oxidation: loss of e^- | Reduction: gain of e^-

Classical Definition

The earliest definition: oxidation is addition of oxygen or removal of hydrogen; reduction is addition of hydrogen or removal of oxygen.

The word 'oxidation' literally comes from oxygen. In the 18th century, Lavoisier noticed that metals combine with oxygen to form oxides — and called the process *oxidation*. The reverse — removing oxygen — was called *reduction* (the metal was 'reduced' back to its original form).

Oxidation: 2Mg + O_2 arrow 2MgO (Mg gains oxygen)

Reduction: CuO + H_2 arrow Cu + H_2O (CuO loses oxygen)

  • Oxidation = addition of oxygen OR removal of hydrogen
  • Reduction = addition of hydrogen OR removal of oxygen
  • In CuO + H_2 arrow Cu + H_2O : CuO is reduced (loses O), H_2 is oxidized (gains O)
  • This definition is limited — it cannot explain reactions that don't involve O or H at all (e.g., Na + Cl_2 )

Electron Transfer Definition

Oxidation is loss of electrons; reduction is gain of electrons. This definition works for ionic reactions but struggles with covalent ones.

The electronic definition is more general: oxidation = loss of electrons, reduction = gain of electrons. When sodium reacts with chlorine, Na *loses* an electron (oxidized) and Cl *gains* an electron (reduced). No oxygen or hydrogen needed!

Na arrow Na^+ + e^- (oxidation — electron lost)

Cl_2 + 2e^- arrow 2Cl^- (reduction — electrons gained)

  • Oxidation = loss of electrons (species becomes more positive)
  • Reduction = gain of electrons (species becomes more negative)
  • Oxidation and reduction ALWAYS occur together — you can't have one without the other
  • The species that gets oxidized is called the reducing agent (it reduces the other species by donating electrons)
  • The species that gets reduced is called the oxidizing agent (it oxidizes the other species by accepting electrons)

Oxidation Number Definition

Oxidation is increase in oxidation number; reduction is decrease in oxidation number. This definition works for ALL reactions — ionic and covalent alike.

The oxidation number (or oxidation state) is a hypothetical charge that an atom WOULD have if all bonds were purely ionic (electrons assigned to the more electronegative atom). It's a bookkeeping tool that lets us track electron flow even in covalent compounds.

Oxidation: increase in oxidation number Reduction: decrease in oxidation number

In H_2 + Cl_2 arrow 2HCl : - H goes from 0 to +1 (oxidation number increases → oxidized) - Cl goes from 0 to -1 (oxidation number decreases → reduced)

Classical (O₂/H₂ gain/loss)Fails for reactions without O or H (e.g., Na + Cl_2 )
Electronic (electron transfer)Fails for covalent reactions (no complete electron transfer)
Oxidation number (ON change)None — works universally for all reactions
  • All three definitions are consistent — they agree on which species is oxidized/reduced when applicable
  • Oxidation number definition is the most general and the one NCERT recommends for complex cases
  • A redox reaction involves simultaneous oxidation and reduction — one species is oxidized while another is reduced
  • The term redox = reduction + oxidation combined

Quick recall

In Zn + CuSO_4 arrow ZnSO_4 + Cu , identify the oxidized and reduced species using all three definitions.

Zn is oxidized (classical: gains O in ZnSO₄ partner; electronic: loses 2e⁻ → Zn²⁺; ON: 0 → +2). Cu²⁺ is reduced (classical: metal freed from oxide partner; electronic: gains 2e⁻ → Cu; ON: +2 → 0). All three definitions agree.

NEET 2019, 2021, 2023 all had questions requiring identification of oxidation/reduction using oxidation numbers. This is non-negotiable — you MUST master ON assignment.

Oxidation Number Rules

Oxidation number (ON) is assigned using a hierarchy of rules: free element = 0, monoatomic ion = charge, F = −1 always, O = −2 (except peroxides −1, OF₂ +2), H = +1 (except metal hydrides −1), and the sum rule. For polyatomic ions, the sum of all ONs equals the charge on the ion. Mastering these rules is essential for identifying redox reactions and balancing equations.

ON of all atoms = charge on species

The Rule Hierarchy

A systematic set of rules applied in order of priority to assign oxidation numbers to every atom in any compound or ion.

Oxidation number assignment follows a strict priority order. Apply the highest-priority rule first, then use the remaining rules to find unknowns.

  • Rule 1: Free (uncombined) element → ON = 0 . Examples: Na , O_2 , P_4 , S_8 all have ON = 0
  • Rule 2: Monoatomic ion → ON = charge. Na^+ = +1 , Cl^- = -1 , Fe^ 3+ = +3
  • Rule 3: Fluorine → ON = -1 always (most electronegative element, no exceptions)
  • Rule 4: Oxygen → ON = -2 in most compounds
  • Rule 5: Hydrogen → ON = +1 with non-metals, -1 with metals (metal hydrides like NaH, CaH₂)
  • Rule 6: Sum of ONs in a neutral molecule = 0
  • Rule 7: Sum of ONs in a polyatomic ion = charge on the ion

Important Exceptions

Oxygen is not always −2 and hydrogen is not always +1. Knowing the exceptions is critical because NEET loves testing them.

The standard rules have well-defined exceptions that NCERT explicitly mentions. These are NEET favourites — expect at least one question testing an exception.

O in peroxides ( H_2O_2 , Na_2O_2 , BaO_2 )-1
O in superoxides ( KO_2 , NaO_2 )- 1 2
O in OF_2 (oxygen difluoride)+2
O in O_2F_2 (dioxygen difluoride)+1
H in metal hydrides ( NaH , CaH_2 , LiAlH_4 )-1
  • Peroxides have an O–O single bond: each O is -1
  • Superoxides have an O_2^- unit: each O is -1/2 (fractional ON is allowed!)
  • In OF_2 : F must be -1 (rule 3 priority) → O must be +2 (sum rule: +2 + 2(-1) = 0 )
  • In metal hydrides, the metal is more electropositive → H gets the electrons → H is -1
  • Fractional oxidation numbers ARE valid — they represent the average ON per atom

Worked Examples

Applying the rules to common NEET compounds: KMnO₄, K₂Cr₂O₇, H₂SO₄, Na₂S₂O₃, and more.

The method is always the same: assign known ONs first (F, O, H, alkali/alkaline earth metals), then use the sum rule to find the unknown.

K_2Cr_2O_7: 2(+1) + 2x + 7(-2) = 0 x = +6 (Cr)

H_2SO_4: 2(+1) + x + 4(-2) = 0 x = +6 (S)

Na_2S_2O_3: 2(+1) + 2x + 3(-2) = 0 x = +2 (S)

  • For Cr_2O_7^ 2- : 2x + 7(-2) = -2 → Cr = +6
  • For MnO_4^- : x + 4(-2) = -1 → Mn = +7
  • For SO_4^ 2- : x + 4(-2) = -2 → S = +6
  • For NO_3^- : x + 3(-2) = -1 → N = +5
  • For C_2O_4^ 2- (oxalate): 2x + 4(-2) = -2 → C = +3

Quick recall

What is the ON of Cr in CrO_5 (blue peroxide of chromium)?

CrO_5 has one regular O ( -2 ) and two peroxide linkages ( O_2^ 2- , each O = -1 ). So: x + (-2) + 4(-1) = 0 → x = +6 . Even in CrO_5 , Cr is +6 ! This is a classic NEET trick question.

NCERT Table 8.1 lists common oxidation states of elements. Memorize at minimum: Mn ( +2 to +7 ), Cr ( +2 to +6 ), S ( -2 to +6 ), N ( -3 to +5 ), C ( -4 to +4 ).

Types of Redox Reactions

Redox reactions are classified into combination (two or more substances → one product), decomposition (one substance → two or more products), displacement (more reactive element displaces a less reactive one), disproportionation (same element is simultaneously oxidized AND reduced), and comproportionation (same element in two different ONs converges to one intermediate ON). Not all combination/decomposition reactions are redox — only those with a change in oxidation number.

Disproportionation: same element higher ON + lower ON

Combination Reactions

Two or more reactants combine to form a single product. A combination reaction is redox only if oxidation numbers change.

In a combination reaction, two or more substances combine to form a single product. When at least one element changes its oxidation number, it's a redox combination reaction.

C(s) + O_2(g) arrow CO_2(g)

Here C goes from 0 to +4 (oxidized) and O goes from 0 to -2 (reduced). This IS a redox reaction.

CaO(s) + CO_2(g) arrow CaCO_3(s) (NOT redox — no ON change)

  • Combination of an element with O_2 or a halogen is almost always redox
  • Combination of two compounds (like CaO + CO₂) may NOT be redox — check ONs!
  • NCERT highlights: combination of elements is always redox; combination of compounds may or may not be

Decomposition Reactions

A single compound breaks down into two or more simpler substances. Redox decomposition occurs when oxidation numbers change during the breakdown.

In a decomposition reaction, a single compound breaks down into two or more products, usually triggered by heat, light, or electricity.

2KClO_3 2KCl + 3O_2

Cl goes from +5 (in KClO_3 ) to -1 (in KCl) → reduced. O goes from -2 to 0 → oxidized. This IS redox.

CaCO_3 CaO + CO_2 (NOT redox — no ON change)

  • Decomposition producing a free element ( O_2 , metal, etc.) is almost always redox
  • Decomposition giving only compounds may NOT be redox (e.g., CaCO_3 arrow CaO + CO_2 )
  • Electrolysis of water: 2H_2O arrow 2H_2 + O_2 — classic redox decomposition

Displacement Reactions

A more reactive element displaces a less reactive element from its compound. Includes metal displacement, non-metal displacement, and the activity series.

In a displacement reaction, a more reactive element displaces a less reactive element from its compound. ALL displacement reactions are redox — the displacing element is oxidized, and the displaced ion is reduced.

Zn(s) + CuSO_4(aq) arrow ZnSO_4(aq) + Cu(s)

Zn ( 0 arrow +2 , oxidized) displaces Cu ( +2 arrow 0 , reduced). Zn is more reactive than Cu — it's higher in the activity series (reactivity series).

  • Metal displacement: A more reactive metal displaces a less reactive metal from solution. Fe + CuSO_4 arrow FeSO_4 + Cu
  • Hydrogen displacement: Active metals displace H_2 from acids. Zn + H_2SO_4 arrow ZnSO_4 + H_2
  • Non-metal displacement: More reactive halogen displaces less reactive halogen. Cl_2 + 2KBr arrow 2KCl + Br_2
  • Reactivity order (metals): K > Na > Ca > Mg > Al > Zn > Fe > Ni > Sn > Pb > H > Cu > Ag > Au
  • Reactivity order (halogens): F_2 > Cl_2 > Br_2 > I_2

Disproportionation

In disproportionation, the SAME element in ONE oxidation state is simultaneously oxidized and reduced to two different oxidation states. The reverse process is comproportionation.

Disproportionation is a special redox reaction where the same element in a single oxidation state is simultaneously oxidized AND reduced. One portion goes to a higher ON, the other to a lower ON.

2H_2O_2 arrow 2H_2O + O_2

Oxygen in H_2O_2 has ON = -1 . In the products: O in H_2O is -2 (reduced) and O in O_2 is 0 (oxidized). Same element ( O at -1 ) splits into two different ONs ( -2 and 0 ).

  • 2H_2O_2 arrow 2H_2O + O_2 : O goes from -1 to -2 (reduced) AND -1 to 0 (oxidized)
  • Cl_2 + 2NaOH arrow NaCl + NaOCl + H_2O : Cl goes from 0 to -1 (reduced) AND 0 to +1 (oxidized)
  • 3Cl_2 + 6NaOH hot 5NaCl + NaClO_3 + 3H_2O : Cl goes from 0 to -1 and +5
  • 2Cu^+ arrow Cu^ 2+ + Cu : Cu goes from +1 to +2 (oxidized) and +1 to 0 (reduced)
  • Phosphorus: P_4 + 3NaOH + 3H_2O arrow PH_3 + 3NaH_2PO_2 : P goes from 0 to -3 and +1

Oxidizing & Reducing Agents

An oxidizing agent (oxidant) is the substance that gets reduced — it accepts electrons and its oxidation number decreases. A reducing agent (reductant) is the substance that gets oxidized — it donates electrons and its oxidation number increases. Common oxidizing agents include KMnO₄, K₂Cr₂O₇, HNO₃, conc. H₂SO₄, and halogens. Common reducing agents include H₂S, C₂O₄²⁻, FeSO₄, metals (Zn, Na), and carbon.

Oxidizing agent: gets reduced (ON decreases) | Reducing agent: gets oxidized (ON increases)

Identification Method

To identify oxidizing and reducing agents, assign oxidation numbers to every element on both sides, find which element's ON increased (reducing agent) and which decreased (oxidizing agent).

The method is mechanical and foolproof: 1. Assign ON to every atom in reactants and products 2. Find which element's ON increased → that species was oxidized → it's the reducing agent 3. Find which element's ON decreased → that species was reduced → it's the oxidizing agent

Worked example: MnO_2 + 4HCl arrow MnCl_2 + Cl_2 + 2H_2O - Mn: +4 arrow +2 (decreased → reduced → MnO_2 is the oxidizing agent) - Cl: -1 arrow 0 (increased → oxidized → HCl is the reducing agent) - H: +1 arrow +1 (no change) and O: -2 arrow -2 (no change)

  • The substance containing the element whose ON decreased = oxidizing agent
  • The substance containing the element whose ON increased = reducing agent
  • Some species can act as BOTH oxidizing and reducing agents depending on the reaction partner
  • H_2O_2 is the classic example: it oxidizes Fe^ 2+ to Fe^ 3+ (acting as oxidizing agent) but reduces KMnO_4 (acting as reducing agent)

Common Oxidizing Agents

A catalogue of the most important oxidizing agents for NEET, their active elements, and how they behave in reactions.

Oxidizing agents accept electrons (get reduced). They contain elements in high oxidation states that want to come down. Here are the most important ones for NEET.

KMnO_4 (potassium permanganate)Mn: +7 arrow +2 (acidic), +7 arrow +4 (neutral). Pink/purple → colourless/brown
K_2Cr_2O_7 (potassium dichromate)Cr: +6 arrow +3 . Orange → green
Conc. HNO_3 (nitric acid)N: +5 arrow +4 ( NO_2 ) or +2 ( NO ). Attacks even Cu, Ag
Conc. H_2SO_4 (sulphuric acid)S: +6 arrow +4 ( SO_2 ). Acts as oxidizer only when hot and concentrated
H_2O_2 (as oxidizing agent)O: -1 arrow -2 . Mild oxidizer in neutral/acidic medium
Halogens ( F_2, Cl_2, Br_2, I_2 )F_2 is the strongest. ON: 0 arrow -1
  • KMnO_4 in acidic medium: Mn goes +7 arrow +2 (gains 5 electrons per Mn)
  • KMnO_4 in neutral/basic medium: Mn goes +7 arrow +4 ( MnO_2 , brown ppt)
  • K_2Cr_2O_7 always works in acidic medium: Cr goes +6 arrow +3 (gains 3 electrons per Cr)
  • Conc. HNO_3 oxidizes even noble metals like Cu and Ag (dilute HCl cannot!)
  • F_2 is the strongest oxidizing agent known — it can oxidize water to O_2

Common Reducing Agents

Important reducing agents for NEET include metals, H₂S, oxalic acid, FeSO₄, and carbon. They contain elements in low oxidation states that want to go up.

Reducing agents donate electrons (get oxidized). They contain elements in low oxidation states that can easily go up. The stronger the tendency to lose electrons, the stronger the reducing agent.

Active metals (Na, K, Mg, Al, Zn)ON: 0 arrow +n . Na is stronger than Zn (higher in activity series)
H_2S (hydrogen sulphide)S: -2 arrow 0 (or higher). Rotten-egg gas, S is at minimum ON
C_2O_4^ 2- / H_2C_2O_4 (oxalic acid)C: +3 arrow +4 ( CO_2 ). Used in KMnO₄ titrations
FeSO_4 / Fe^ 2+ (ferrous)Fe: +2 arrow +3 . Classic Mohr's salt titration
H_2O_2 (as reducing agent)O: -1 arrow 0 ( O_2 released). Dual nature!
Carbon (C, CO)C: 0 arrow +4 ( CO_2 ). Used in metallurgy to reduce metal oxides
  • Metals are reducing agents because they readily lose electrons to form positive ions
  • Alkali metals (Na, K) are the strongest metallic reducing agents — they have the lowest ionization energies
  • H_2S is a reducing agent because S is at its minimum ON ( -2 ) — it can only go up
  • Oxalic acid ( H_2C_2O_4 ) is the standard reducing agent in KMnO_4 titrations ( C: +3 arrow +4 )
  • Carbon reduces metal oxides in blast furnaces: Fe_2O_3 + 3C arrow 2Fe + 3CO

Quick recall

In the reaction 2FeCl_3 + H_2S arrow 2FeCl_2 + S + 2HCl , identify the oxidizing and reducing agents.

FeCl_3 is the oxidizing agent (Fe: +3 arrow +2 , reduced). H_2S is the reducing agent (S: -2 arrow 0 , oxidized).

For NEET, memorize which common substances are ALWAYS oxidizing agents (KMnO₄, K₂Cr₂O₇) vs ALWAYS reducing agents (H₂S, metals) vs BOTH (H₂O₂). This saves time in MCQs.

Balancing: Oxidation Number Method

The oxidation number method balances redox equations by ensuring that the total increase in oxidation number equals the total decrease. Steps: write skeleton equation, assign ONs, identify which atoms change ON, equalize the increase and decrease by multiplying, then balance remaining atoms (O and H) by inspection. This method works in any medium and is often faster for simpler reactions.

Total increase in ON = Total decrease in ON

Step-by-Step Method

A clear, repeatable procedure to balance any redox equation using oxidation number changes.

The oxidation number method has a fixed sequence of steps. Follow them mechanically and you'll balance any equation.

  • Step 1: Write the unbalanced skeleton equation with correct formulas
  • Step 2: Assign oxidation numbers to ALL atoms on both sides
  • Step 3: Identify which atoms undergo a change in ON — note the increase and decrease
  • Step 4: Calculate the total increase and total decrease per formula unit
  • Step 5: Equalize total increase = total decrease by multiplying the species with appropriate coefficients
  • Step 6: Balance remaining atoms (usually O and H) by inspection
  • Step 7: Verify: count every atom on both sides and confirm charge balance

Worked Example 1

Balancing the classic reaction of copper with dilute nitric acid using the oxidation number method.

Reaction: Cu + HNO_3 (dilute) arrow Cu(NO_3)_2 + NO + H_2O

  • Step 1: Skeleton: Cu + HNO_3 arrow Cu(NO_3)_2 + NO + H_2O
  • Step 2: Cu: 0 arrow +2 . N in HNO_3 : +5 . N in Cu(NO_3)_2 : +5 (no change). N in NO: +2 (changed!)
  • Step 3: Cu increases by 2 (oxidized). N decreases by 3 (reduced, only the N that becomes NO)
  • Step 4: Increase = +2 per Cu. Decrease = -3 per N (in NO)
  • Step 5: LCM of 2 and 3 = 6 . Multiply Cu by 3 (total increase = 6 ), N(→NO) by 2 (total decrease = 6 )
  • Step 6: 3Cu + 8HNO_3 arrow 3Cu(NO_3)_2 + 2NO + 4H_2O
  • Step 7: Check — Cu: 3=3, N: 8=8, H: 8=8, O: 24=24. Balanced!

Worked Example 2

Balancing permanganate-ferrous titration — the most important NEET redox equation.

Reaction: KMnO_4 + FeSO_4 + H_2SO_4 arrow K_2SO_4 + MnSO_4 + Fe_2(SO_4)_3 + H_2O

  • ON changes: Mn: +7 arrow +2 (decrease of 5 ). Fe: +2 arrow +3 (increase of 1 )
  • Equalize: LCM of 5 and 1 = 5 . Need 1 Mn and 5 Fe
  • So: 2KMnO_4 gives 2 Mn atoms decreasing by 5 each = total decrease 10
  • And 10FeSO_4 gives 10 Fe atoms increasing by 1 each = total increase 10
  • Balanced: 2KMnO_4 + 10FeSO_4 + 8H_2SO_4 arrow K_2SO_4 + 2MnSO_4 + 5Fe_2(SO_4)_3 + 8H_2O

2KMnO_4 + 10FeSO_4 + 8H_2SO_4 arrow K_2SO_4 + 2MnSO_4 + 5Fe_2(SO_4)_3 + 8H_2O

Balancing: Half-Reaction Method

The half-reaction (ion-electron) method splits the overall reaction into two half-reactions — one for oxidation and one for reduction. Each half-reaction is balanced separately for atoms, then for charge using electrons. Finally, the two are combined so electrons cancel. The method differs for acidic medium (balance O with H₂O, H with H⁺) and basic medium (add OH⁻ to neutralize H⁺). This is the most systematic method and is preferred for ionic equations.

Electrons lost in oxidation half = Electrons gained in reduction half

Steps in Acidic Medium

In acidic medium, oxygen atoms are balanced using H₂O and hydrogen atoms using H⁺. Charges are balanced using electrons.

The half-reaction method is the gold standard for balancing redox equations in solution. In acidic medium, follow these steps for EACH half-reaction separately.

  • Step 1: Split the reaction into two half-reactions — one for the species being oxidized, one for the species being reduced
  • Step 2: Balance all atoms OTHER than O and H first
  • Step 3: Balance O atoms by adding H_2O to the side that needs oxygen
  • Step 4: Balance H atoms by adding H^+ to the side that needs hydrogen
  • Step 5: Balance charge by adding electrons ( e^- ) to the more positive side
  • Step 6: Multiply the half-reactions by appropriate integers so electrons cancel
  • Step 7: Add the two half-reactions and simplify (cancel common species on both sides)
  • Step 8: Verify atom and charge balance

Worked Example (Acidic)

Balancing permanganate oxidizing oxalate in acidic medium — the most important half-reaction problem for NEET.

Balance in acidic medium: MnO_4^- + C_2O_4^ 2- arrow Mn^ 2+ + CO_2

  • Reduction half-reaction: MnO_4^- arrow Mn^ 2+
  • Balance O: add 4H_2O to right → MnO_4^- arrow Mn^ 2+ + 4H_2O
  • Balance H: add 8H^+ to left → MnO_4^- + 8H^+ arrow Mn^ 2+ + 4H_2O
  • Balance charge: left = -1 + 8 = +7 , right = +2 . Add 5e^- to left → MnO_4^- + 8H^+ + 5e^- arrow Mn^ 2+ + 4H_2O
  • Oxidation half-reaction: C_2O_4^ 2- arrow 2CO_2
  • Atoms balanced (C: 2=2, O: 4=4). No H involved
  • Balance charge: left = -2 , right = 0 . Add 2e^- to right → C_2O_4^ 2- arrow 2CO_2 + 2e^-
  • Combine: Reduction needs 5e^- , oxidation produces 2e^- . LCM = 10
  • Multiply reduction by 2 , oxidation by 5
  • Final: 2MnO_4^- + 5C_2O_4^ 2- + 16H^+ arrow 2Mn^ 2+ + 10CO_2 + 8H_2O

2MnO_4^- + 5C_2O_4^ 2- + 16H^+ arrow 2Mn^ 2+ + 10CO_2 + 8H_2O

Steps in Basic Medium

For basic medium, first balance as if acidic, then add OH⁻ to both sides to neutralize all H⁺ ions, converting them to H₂O.

Balancing in basic medium uses the SAME steps as acidic medium, plus one additional step at the end: neutralize all H^+ by adding OH^- to both sides.

  • Steps 1–7: Balance exactly as you would in acidic medium (using H_2O and H^+ )
  • Step 8: For every H^+ ion in the equation, add the same number of OH^- to BOTH sides
  • Step 9: Combine H^+ + OH^- arrow H_2O on the side where both appear
  • Step 10: Cancel any H_2O that appears on both sides
  • Step 11: Verify atom and charge balance

Worked Example (Basic)

A complete worked example of balancing a redox equation in basic medium using the half-reaction method.

Balance in basic medium: Cr(OH)_3 + IO_3^- arrow CrO_4^ 2- + I^-

  • Oxidation half (Cr: +3 arrow +6 ): Cr(OH)_3 arrow CrO_4^ 2-
  • Balance O: add 1H_2O to left → Cr(OH)_3 + H_2O arrow CrO_4^ 2-
  • Wait — O: left has 3+1=4 , right has 4 . Good. Now H: left has 3+2=5 , right has 0 . Add 5H^+ to right
  • Cr(OH)_3 + H_2O arrow CrO_4^ 2- + 5H^+
  • Charge: left = 0 , right = -2+5 = +3 . Add 3e^- to right
  • Cr(OH)_3 + H_2O arrow CrO_4^ 2- + 5H^+ + 3e^-
  • Reduction half (I: +5 arrow -1 ): IO_3^- arrow I^-
  • Balance O: add 3H_2O to right → IO_3^- arrow I^- + 3H_2O
  • Balance H: add 6H^+ to left → IO_3^- + 6H^+ arrow I^- + 3H_2O
  • Charge: left = -1+6 = +5 , right = -1 . Add 6e^- to left
  • IO_3^- + 6H^+ + 6e^- arrow I^- + 3H_2O
  • Combine: Oxidation produces 3e^- , reduction needs 6e^- . Multiply oxidation by 2
  • Acidic form: 2Cr(OH)_3 + IO_3^- + 2H_2O arrow 2CrO_4^ 2- + I^- + 10H^+ + 6H^+ arrow ... simplify
  • After adding and simplifying: 2Cr(OH)_3 + IO_3^- arrow 2CrO_4^ 2- + I^- + 4H^+ + H_2O
  • Convert to basic: Add 4OH^- to both sides. Left: 4OH^- . Right: 4H^+ + 4OH^- = 4H_2O
  • Final (basic): 2Cr(OH)_3 + IO_3^- + 4OH^- arrow 2CrO_4^ 2- + I^- + 5H_2O

2Cr(OH)_3 + IO_3^- + 4OH^- arrow 2CrO_4^ 2- + I^- + 5H_2O

NCERT Chapter 8 provides worked examples in both acidic and basic media. The 2024 and 2023 NEET papers both had questions on half-reaction balancing. This is high-yield content.