n-Factor and Equivalent Weight in Redox Reactions

Chemistry · Redox Equilibrium · NEET

In a redox reaction the n-factor is simply the number of electrons one molecule (or ion) gains or loses. Equivalent weight = molar mass / n-factor. Memory hook: n-factor = "number of electrons per particle" — for a reductant count electrons lost, for an oxidant count electrons gained. Example: KMnO4 in acid has n = 5 (Mn goes +7 to +2), oxalic acid has n = 2 (each carbon +3 to +4, two carbons).
n-Factor = electrons transferred per particleKMnO4 (oxidant, acidic)Mn: +7 → +2gains 5 e⁻ → n = 5Eq wt = 158 / 5 = 31.6 gOxalic acid (reductant)C: +3 → +4 (×2 carbons)loses 2 e⁻ → n = 2Eq wt = 126 / 2 = 63 gAt end point: 2 KMnO4 ↔ 5 oxalic acid (5×2 = 2×5 = 10 e⁻)
n-factor is the electrons transferred per particle. KMnO4 in acid gains 5 (n = 5); oxalic acid loses 2 (n = 2). Equivalent weight = molar mass / n-factor, and at the end point equivalents of oxidant equal equivalents of reductant.

Your doubts, answered

How do I find the n-factor of a substance in a redox reaction?

Find the oxidation number of the changing element before and after the reaction. The n-factor is the total change in oxidation number per one formula unit (multiplied by the number of such atoms). For a reductant it is the electrons lost; for an oxidant it is the electrons gained. Example: in KMnO4 (acidic) Mn changes +7 to +2, a change of 5, so n = 5.

Why is the n-factor of KMnO4 different in acidic, neutral and basic medium?

Because Mn ends up at a different oxidation state. In acid Mn goes +7 to +2 (n = 5). In neutral or faintly alkaline medium it goes +7 to +4, forming MnO2 (n = 3). In strongly basic medium it goes +7 to +6, forming MnO4^2- (n = 1). Same molecule, but n-factor and equivalent weight change with the medium.

Why is the n-factor of oxalic acid 2 and not 1?

Oxalic acid (H2C2O4) has two carbon atoms. Each carbon is at +3 and each goes to +4 in CO2, losing 1 electron. Two carbons lose 2 electrons in total, so n-factor = 2. Do not confuse this with its acidic n-factor of 2 (it has 2 replaceable H) — here we count electrons because it is acting as a reductant.

How is equivalent weight calculated from n-factor?

Equivalent weight = molar mass / n-factor. For KMnO4 (molar mass 158) in acid, equivalent weight = 158 / 5 = 31.6 g. For oxalic acid dihydrate (molar mass 126) in redox, equivalent weight = 126 / 2 = 63 g. Milli-equivalents = normality x volume(mL) = molarity x n-factor x volume.

How do I use n-factor to balance a redox reaction quickly?

Total electrons lost must equal total electrons gained. So multiply each species by a number that makes the electron counts equal. For MnO4^- (n = 5) reacting with C2O4^2- (n = 2), take 2 MnO4^- and 5 C2O4^2- because 2 x 5 = 5 x 2 = 10 electrons. The mole ratio is the inverse of the n-factors.

What is the difference between n-factor and valency?

Valency is a fixed combining capacity of an element. n-factor depends on the specific reaction: for acids it is the number of H+ given, for bases the number of OH-, and for redox species it is the electrons transferred. The same substance can have different n-factors in different reactions, but its valency does not change with the reaction.

⚠️ The NEET trap
Using n-factor = 3 for KMnO4 in every titration because MnO2 is a common product.
n-factor of KMnO4 depends on the medium: 5 in acidic (Mn +7 to +2), 3 in neutral/faintly alkaline (Mn +7 to +4), and 1 in strongly basic (Mn +7 to +6). Read the medium before choosing n.
🧠 NTA loves to state the medium quietly. Underline 'acidic' or 'neutral' in the stem first, then pick n.

Real NEET questions

2018

For the redox reaction MnO4^- + C2O4^2- + H^+ -> Mn^2+ + CO2 + H2O, the correct coefficients of the reactants (MnO4^-, C2O4^2-, H^+ respectively) are:

A · 2, 16, 5
B · 2, 5, 16
C · 16, 5, 2
D · 5, 16, 2
Solution: Mn goes +7 to +2, so MnO4^- has n-factor 5. Each carbon in oxalate goes +3 to +4, so C2O4^2- has n-factor 2. To balance electrons take the inverse ratio: 2 MnO4^- and 5 C2O4^2-. Balancing O and charge needs 16 H+, giving 2 MnO4^- + 5 C2O4^2- + 16 H+ -> 2 Mn^2+ + 10 CO2 + 8 H2O. Reactant coefficients are 2, 5, 16.
2026

In acidic medium, 10 mL of 0.25 M oxalic acid is titrated with KMnO4 solution. If the volume of KMnO4 required to reach the end point is 10 mL, the strength of the KMnO4 solution is:

A · 0.10 M
B · 0.20 M
C · 0.25 M
D · 0.15 M
Solution: MnO4^- is a 5-electron oxidant in acid (n = 5); oxalic acid is a 2-electron reductant (n = 2). Equate equivalents: V(KMnO4) x 5 x M = V(oxalic) x 2 x 0.25. So 10 x 5 x M = 10 x 2 x 0.25, giving 50 M = 5, M = 0.10 M.

Solved Redox Equilibrium NEET PYQs

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Frequently asked

What is the n-factor of K2Cr2O7 in acidic medium?

In K2Cr2O7 there are 2 chromium atoms, each going from +6 to +3 (a change of 3). Total electrons gained = 2 x 3 = 6, so the n-factor is 6 and the equivalent weight is 294 / 6 = 49 g.

Is n-factor always a whole number?

For most NEET redox species yes, because electrons are counted as whole numbers per atom. It can appear fractional per formula unit in unusual disproportionation cases, but for standard titration species (KMnO4, K2Cr2O7, oxalic acid, Mohr salt) it is a small whole number.

What is the n-factor of ferrous ion (Fe^2+) with KMnO4?

Fe^2+ is oxidised to Fe^3+, a change of 1 electron, so its n-factor is 1. Against KMnO4 (n = 5 in acid), 5 moles of Fe^2+ react with 1 mole of KMnO4.

Why do we use equivalents instead of moles in titration?

At the end point the equivalents of oxidant equal the equivalents of reductant, regardless of their mole ratio. Using equivalents (normality x volume) lets you solve the titration in one line without first balancing the whole equation.

Does n-factor change for oxalic acid in acid-base versus redox reactions?

Its numeric value happens to be 2 in both roles, but for a different reason: 2 replaceable H+ in acid-base, and 2 electrons lost by its two carbons in redox. Always identify the role first.