Redox stoichiometry turns a redox reaction into numbers: how much oxidant reacts with how much reductant, and what volume of titrant reaches the end point. It has two routes, the mole method (from the balanced equation) and the equivalent method (from n-factors, with no balancing). This page builds n-factor, equivalent weight, normality and the law of equivalence, then applies them to permanganate and dichromate titrations, iodometry, back titration and the volume strength of H2O2. Redox stoichiometry numericals appear every year in JEE Main and as one-step problems in NEET.
On this page1Two routes2n-factor3Equivalents and normality4Law of equivalence5Redox titrations6Iodometry and iodimetry7Back titration8Volume strength of H2O2
Key Formulas - Quick Reference
★ Must learnn-factor (redox) = electrons lost or gained per formula unit = (change in ON) × (atoms that change); add if two elements change.
★ Must learnEquivalent weight E=nM; gram equivalents =Ew= moles ×n.
★ Must learnNormality N=n×M (molarity); milliequivalents =N×V(mL).
★ Must learnLaw of equivalence: meq of oxidant = meq of reductant, so N1V1=N2V2, or n1M1V1=n2M2V2.
Disproportionation: n=n1+n2n1n2, with n1, n2 the electrons per mole in the two directions.
Iodometry: eq of oxidant = eq of I2 liberated = eq of Na2S2O3 (n=1 for S2O32− → S4O62−).
Back titration: meq(sample) = meq(excess reagent added) − meq(back-titrant).
★ Must learnVolume strength of H2O2=11.2×M=5.6×N (litres of O2 at STP from 1 L).
1. Two Routes to Redox Stoichiometry
Every redox calculation asks the same thing: how many moles of electrons does the reductant give, and how much oxidant is needed to take them? You can answer it with the mole method (balance, then use the mole ratio) or the equivalent method (count electrons per formula unit and equate equivalents). Both always agree.
Figure 1: The mole method needs the balanced equation; the equivalent method needs only the n-factors (5 for KMnO4, 1 for Fe2+). Both give 20 mL.
Mole method
Needs the balanced equation. Best when the products matter or one reagent is limiting, as in 4NH3 + 5O2 → 4NO + 6H2O.
Equivalent method
Needs only n-factors. Fastest for titrations, mixtures, back titration and multistep problems; no balancing at all.
2. n-Factor
The n-factor of a species in a redox reaction is the number of electrons it loses or gains per formula unit, that is, per mole. Find it as (change in oxidation number per atom) × (number of atoms that change).
The n-factor is a property of the reaction, not of the compound. Permanganate gives three different values in three media, and thiosulphate gives 1 with iodine but 8 with chlorine.
Figure 2: The n-factor belongs to the reaction, not the compound: KMnO4 is 5, 3 or 1 by medium, and thiosulphate is 1 with I2 but 8 with Cl2.
2.1 Two elements changing, and disproportionation
If two parts of a formula change, add their electrons: ferrous oxalate loses 1 from Fe and 2 from oxalate, so n=3. For a species that both gains and loses electrons, combine the two directions: n=n1+n2n1n2.
Figure 3: When two parts of one formula change, add their electrons (FeC2O4: n=3). For a disproportionating species, n=n1+n2n1n2 (Cl2: 35).
n-factor in acid-base and salt reactions (used with the same equivalent rules): acids, the number of H+ replaced (basicity: H2SO4 2, H3PO4 3, H3PO3 2, H3PO2 1); bases, the OH− replaced (Ca(OH)2 2); salts, the total charge on the cations (Al2(SO4)3 6).
Exam Trick5-3-1, then 6.KMnO4 takes 5 electrons in acid, 3 in neutral, 1 in strong alkali; K2Cr2O7 takes 6. Thiosulphate gives just 1 with iodine. These five numbers solve most titration questions.
JEE AdvancedOne compound, two n-factors. Oxalic acid is 2 as an acid and 2 as a reductant. KHC2O4 is 1 as an acid but 2 as a reductant. Potassium tetroxalate, KHC2O4⋅H2C2O4⋅2H2O, has 3 replaceable H (n = 3 with NaOH) and two oxalate units (n = 4 with KMnO4). So equal moles of it need volumes of 0.1 M NaOH and 0.1 M KMnO4 in the ratio 3:54. Always ask which reaction the question is about.
Key idea
n-factor = electrons per formula unit for this reaction. Change the medium or partner and the n-factor can change.
3. Equivalents, Equivalent Weight and Normality
Equivalent weightE=M/n is the mass that gives or takes one mole of electrons. One equivalent of any oxidant reacts exactly with one equivalent of any reductant. NormalityN is the number of gram equivalents per litre: N=n× molarity.
Figure 4: Every quantity in a redox problem turns into equivalents, and one equivalent means one mole of electrons transferred. Equal equivalents of oxidant and reductant always react.
Reagent (reaction)
M / g mol−1
n-factor
E / g
KMnO4 (acid, → Mn2+)
158
5
31.6
KMnO4 (neutral, → MnO2)
158
3
52.7
K2Cr2O7 (acid, → Cr3+)
294
6
49
FeSO4⋅7H2O (→ Fe3+)
278
1
278
Mohr's salt, FeSO4⋅(NH4)2SO4⋅6H2O
392
1
392
Oxalic acid, H2C2O4⋅2H2O (→ CO2)
126
2
63
H2O2 (either role)
34
2
17
I2 (→ I−)
254
2
127
Na2S2O3⋅5H2O (with I2)
248
1
248
4. The Law of Equivalence
In any reaction the equivalents of all reacting species are equal. For a titration, meq of oxidant = meq of reductant.
N1V1=N2V2orn1M1V1=n2M2V2
The law needs no balanced equation, works for unbalanced and multistep changes, and simply adds up for mixtures: meq of a mixture is the sum of the meq of its parts. If 20 mL of 0.05 M oxalic acid needs 20 mL of KMnO4 in acid, then 5×M×20=2×0.05×20 and M=0.02 M, the same as from the balanced equation
2MnO4−+5C2O42−+16H+2Mn2++10CO2+8H2O
Exam TrickStay in milli-units. meq =N× mL =n×M× mL, and mmol =M× mL. You never convert to litres, and a mass in grams becomes meq as 1000w/E.
Figure 5: Five moves solve every redox titration. The branch handles back titration; the most common error is a wrong n-factor at the second step.
Key idea
Equal equivalents react, not equal moles. Moles react in the ratio of the inverse n-factors: 1 MnO4− (n = 5) per 5 Fe2+ (n = 1).
Quick Recall: tap to checkn-factor of FeC2O4 with acidified KMnO4?
3 (Fe 1 + oxalate 2); E=144/3=48.
Normality of 0.1 M K2Cr2O7 in acid?
0.1×6=0.6 N.
Equivalent weight of KMnO4 in neutral medium?
158/3=52.7.
5. Redox Titrations
Just as acid-base titrations use a pH indicator, redox titrations find the strength of an oxidant or reductant with a redox-sensitive end point. Three situations are common.
5.1 Permanganate: a self-indicator
Intensely purple MnO4− is decolourised as long as a reductant (Fe2+ or C2O42−) remains, because Mn2+ is almost colourless. The first lasting pale pink marks the end point; the eye detects it at only about 10−6 mol L−1 of MnO4−, so the overshoot beyond the equivalence point (where oxidant and reductant are equal in mole stoichiometry) is negligible. Oxalate titrations are run warm (about 60 °C) because the reaction is slow in the cold.
MnO4−+5Fe2++8H+Mn2++5Fe3++4H2O
Figure 6: KMnO4 is a self-indicator: purple while it is used up, pale pink at the first drop in excess (about 10−6 mol L−1). The medium is dilute H2SO4.
5.2 Dichromate with an indicator
Orange Cr2O72− gives green Cr3+, a change too weak to see clearly, so it is not a self-indicator. A redox indicator, diphenylamine, is oxidised by the first drop of excess dichromate after the equivalence point and turns an intense blue (blue-violet).
Cr2O72−+6Fe2++14H+2Cr3++6Fe3++7H2O
5.3 Choosing the acid
The acid must not react with the titrant. Dilute H2SO4 is used for permanganate. HCl is avoided because MnO4− (E∘=1.51 V) oxidises Cl− (1.36 V) to Cl2, wasting titrant; dichromate (1.33 V) does not, so it can be used in HCl. HNO3 is avoided with both because it is an oxidant itself.
Figure 7: An acid must not react with the titrant. MnO4− (1.51 V) oxidises Cl− (1.36 V), so HCl wastes permanganate; Cr2O72− (1.33 V) does not.
6. Iodometry and Iodimetry
Iodine reactions give a third way to see the end point. Iodine forms an intense blue complex with starch, and it reacts quickly and cleanly with thiosulphate. Iodine is barely soluble in water, but it stays dissolved in KI solution as KI3 (I3−).
I2+2S2O32−2I−+S4O62−
In iodometry an oxidant that can oxidise I−, such as Cu2+, is treated with excess KI. The liberated iodine is titrated with standard thiosulphate. Starch is added near the end (when the solution turns pale yellow), and the blue colour vanishes when the last iodine is used up.
2Cu2++4I−Cu2I2+I2
Figure 8: In iodometry iodine is only a messenger: the oxidant, the liberated I2 and the thiosulphate have equal equivalents. In iodimetry a standard I2 solution titrates a reductant directly.
Iodometry (indirect)
Estimates an oxidant. Oxidant + excess KI → I2; titrate I2 with Na2S2O3. End point: blue → colourless.
Iodimetry (direct)
Estimates a reductant with a standard I2 solution. End point: the first permanent blue with starch.
Key idea
In iodometry, iodine is only a messenger: eq of oxidant = eq of I2 = eq of thiosulphate, with n=1 for each Cu2+ and each S2O32−.
Quick Recall: tap to checkWhy is KMnO4 not titrated in HCl?
MnO4− (1.51 V) oxidises Cl− (1.36 V) to Cl2, so extra titrant is used.
Why is starch added only near the end in iodometry?
At high iodine concentration the starch-iodine complex forms too firmly and the end point becomes sluggish.
Indicator for dichromate titration of Fe2+?
Diphenylamine, which turns intense blue just after the equivalence point.
7. Back Titration
When the sample reacts slowly, is insoluble or cannot be titrated directly (for example MnO2 in pyrolusite ore), add a known excess of a reagent, let it react completely, and titrate the left-over excess.
meq(sample)=meq(reagent added)−meq(back-titrant)
MnO2+C2O42−+4H+Mn2++2CO2+2H2O
Figure 9: In a back titration a known excess reagent is added and the left-over part is titrated. Here 10−2=8 meq of MnO2, i.e. 4 mmol, since n=2 for MnO2.
8. Volume Strength of Hydrogen Peroxide
H2O2 bottles are labelled in volumes. "x volume" means that 1 L of the solution gives x L of O2 at STP when it decomposes:
2H2O22H2O+O2
Two moles of H2O2 give one mole of O2, 22.4 L at STP. So 1 L of an M molar solution gives 2M×22.4=11.2M litres. With n=2, N=2M:
Figure 10: "20 volume" means 1 L gives 20 L of O2 at STP. With V=11.2M=5.6N, it is 1.79 M, 3.57 N and 6.07% (w/v).
H2O2 is usually estimated by titration with acidified KMnO4, in which it acts as a reductant (n=2):
2MnO4−+5H2O2+6H+2Mn2++5O2+8H2O
Exam Trick11.2 and 5.6. Volume strength =11.2M=5.6N. Quick checks: 10 V ≈ 3%, 20 V ≈ 6%, 100 V ≈ 30% (w/v). Exams use 22.4 L for STP unless they say otherwise; with 22.7 L (1 bar) the factor becomes 11.35.
Key idea
"x volume" = x L of O2 at STP per litre, so M=x/11.2 and N=x/5.6.
Quick Recall: tap to checkMolarity of "11.2 volume" H2O2?
1 M (11.2/11.2); normality 2 N.
In a back titration, which meq equals the sample?
Total meq of reagent added minus meq of the back-titrant.
n-factor of H2O2 with acidified KMnO4?
2: O goes from −1 to 0 in O2.
8.1 The whole concept at a glance
Figure 11: The whole concept on one page. Revise from the centre outwards.
9. Solved Examples
Solved Example 1
What volume of 0.1 M KMnO4 (acidic) is needed to oxidise 1.52 g of FeSO4 (M=152)?
Solution:
meq of FeSO4=152/11000×1.52=10. Normality of KMnO4=5×0.1=0.5 N.
0.5×V=10, so V=20 mL. (Mole check: 10 mmol Fe2+ need 10/5=2 mmol MnO4−, i.e. 2/0.1=20 mL.)
Solved Example 2
The equivalent weight of K2Cr2O7 (M=294) in acidic medium is (A) 294 (B) 147 (C) 49 (D) 98
Solution:
Answer: (C). Each Cr falls from +6 to +3, and there are two Cr: n=6. E=294/6=49.
Solved Example 3
20 mL of 0.05 M oxalic acid needs 20 mL of a KMnO4 solution in dilute H2SO4. Find the molarity of KMnO4.
Solution:
n1M1V1=n2M2V2: 5×M×20=2×0.05×20, so M=0.02 M (normality 0.1 N).
Solved Example 4
How many grams of Mohr's salt (M=392) react with 25 mL of 0.1 N K2Cr2O7 in acid?
Solution:
meq of dichromate =0.1×25=2.5. Mohr's salt has n=1 (Fe2+ → Fe3+), so E=392.
Mass =2.5×10−3×392=0.98 g.
Solved Example 5
A 0.5 g sample of a copper ore is dissolved. The Cu2+ liberates iodine from excess KI, and the iodine needs 25 mL of 0.1 M Na2S2O3. Find the percentage of copper (M=63.5).
Solution:
Iodometry: meq Cu2+= meq I2= meq thiosulphate =1×0.1×25=2.5. Copper has n=1 (Cu2+ → Cu(I)), so 2.5 mmol Cu.
Mass of Cu =2.5×63.5=158.75 mg; percentage =0.50.15875×100=31.75%.
Solved Example 6
A sample of H2O2 is labelled "20 volume". Its normality is (A) 1.79 N (B) 3.57 N (C) 5.6 N (D) 0.89 N
Solution:
Answer: (B).N=5.620=3.57 N (molarity 20/11.2=1.79 M; strength 1.79×34=60.7 g L−1, about 6.1% w/v).
Solved Example 7
25 mL of an H2O2 solution needs 20 mL of 0.04 M KMnO4 in acid. Find the molarity and the volume strength of the H2O2.
Solution:
meq KMnO4=5×0.04×20=4 = meq H2O2. With n=2, mmol H2O2=2, so M=2/25=0.08 M.
Volume strength =11.2×0.08=0.896 volume.
Solved Example 8
0.5 g of pyrolusite ore is warmed with 50 mL of 0.1 M oxalic acid in dilute H2SO4. The excess oxalic acid needs 20 mL of 0.02 M KMnO4. Find the percentage of MnO2 (M=86.9).
MnO2 has n=2 (Mn +4→+2): 4 mmol, mass =4×86.9=347.8 mg. Percentage =0.50.3478×100=69.6%.
Solved Example 9
Find the equivalent weight of Cl2 (M=71) in 3Cl2 + 6NaOH → 5NaCl + NaClO3 + 3H2O.
Solution:
Per Cl2: to 2Cl− it gains n1=2; to 2ClO3− it would lose n2=10.
n=2+102×10=35
Check: 3 Cl2 transfer 5 electrons, i.e. 35 per Cl2.
E=71÷35=42.6.
Solved Example 10
1 mmol of potassium tetroxalate, KHC2O4⋅H2C2O4⋅2H2O, is titrated separately with 0.1 M NaOH and with 0.1 M KMnO4 in acid. Find each volume.
Solution:
As an acid it has 3 replaceable H: meq =3, so VNaOH=3/0.1=30 mL.
As a reductant its two oxalate units give 4e−: meq =4, and 5×0.1×V=4 gives VKMnO4=8 mL.
Practice Questions
Show with three examples that a reductant in excess gives a lower oxidation state product and an oxidant in excess gives a higher one.Answer: C + O2: excess C gives CO, excess O2 gives CO2. P4 + Cl2: excess P4 gives PCl3, excess Cl2 gives PCl5. Na + O2: excess Na gives Na2O, excess O2 gives Na2O2.
Why does thiosulphate react differently with iodine (2S2O32− + I2 → S4O62− + 2I−) and bromine (S2O32− + 4Br2 + 5H2O → 2SO42− + 8Br− + 10H+)?Answer: Br2 is a stronger oxidant than I2: it takes S to +6 (n=8 per S2O32−), while I2 only reaches S4O62− (S +2.5, n=1).
In the Ostwald process, 4NH3 + 5O2 → 4NO + 6H2O. What is the maximum mass of NO from 10.00 g NH3 and 20.00 g O2?Answer: NH3 0.587 mol needs 0.734 mol O2, but only 0.625 mol is present, so O2 is limiting: NO =0.625×54=0.500 mol =15.0 g.
Find the equivalent weight of FeC2O4 (M=144) in its titration with acidified KMnO4.Answer: n=3, E=48.
What volume of 0.1 N K2Cr2O7 oxidises 50 mL of 0.15 N FeSO4?Answer: 0.1V=0.15×50, V=75 mL.
Find the volume strength of 1.5 N H2O2.Answer: 5.6×1.5=8.4 volume.
What is the normality of 0.1 M KMnO4 used in neutral medium, and how many electrons does each MnO4− take?Answer: 3 electrons (MnO2 forms), so 0.3 N.
Common Mistakes to Avoid
Watch out
Writing M1V1=M2V2 for a redox titration. Use n1M1V1=n2M2V2 (or normalities).
Taking n=5 for KMnO4 in every medium (it is 3 in neutral and 1 in strongly alkaline solution).
Taking n=2 for thiosulphate with iodine (it is 1 per S2O32−) or n=1 for H2O2 (it is 2).
Treating n-factor as a fixed property of a compound: KHC2O4 is 1 as an acid but 2 as a reductant.
Titrating permanganate in HCl or HNO3 instead of dilute H2SO4.
In a back titration, equating the sample to the back-titrant instead of to (added − back-titrated).
Mixing units: meq =N× mL, but gram equivalents =N× L.
Adding starch at the start of an iodometric titration rather than near the end point.
Frequently Asked Questions
What is n-factor in redox reactions?
The n-factor is the number of electrons lost or gained by one formula unit of a species in a given reaction. It equals the change in oxidation number per atom times the number of atoms that change. KMnO4 has n equal to 5 in acid, 3 in neutral and 1 in strongly alkaline medium.
What is the law of equivalence?
The law of equivalence says that in any reaction the equivalents of all reacting species are equal. In a redox titration the milliequivalents of oxidant equal those of reductant, so N1V1 = N2V2, or n1M1V1 = n2M2V2. It works without a balanced equation and for mixtures.
Why is the equivalent weight of KMnO4 different in acidic, neutral and basic media?
Equivalent weight is molar mass divided by n-factor, and the product of permanganate depends on the medium. It gains 5 electrons in acid (Mn2+), 3 in neutral (MnO2) and 1 in strong alkali (MnO4 2-), so its equivalent weight is 31.6, 52.7 or 158.
What is the difference between iodometry and iodimetry?
Iodometry is indirect: an oxidant liberates iodine from excess potassium iodide and the iodine is titrated with sodium thiosulphate. Iodimetry is direct: a standard iodine solution titrates a reductant such as sulphite or thiosulphate. Starch shows the end point in both.
Why is KMnO4 called a self-indicator?
Permanganate is intensely purple, while its reduction product Mn2+ is almost colourless. As long as reductant remains each drop is decolourised; the first drop in excess gives a permanent pale pink at about 0.000001 mol per litre, so no separate indicator is needed.
What does 20 volume hydrogen peroxide mean?
It means one litre of the solution gives 20 litres of oxygen at STP on decomposition. Since 2 moles of H2O2 give 22.4 litres of O2, volume strength equals 11.2 times molarity, so 20 volume H2O2 is 1.79 M, 3.57 N and about 6 percent weight by volume.
Which redox stoichiometry questions are asked in NEET?
NEET asks one-step problems: molarity or normality from titration volumes, equivalent weight of KMnO4 or K2Cr2O7, volume strength of H2O2, and the mole ratio of oxidant to reductant from a balanced equation, plus NCERT facts on KMnO4 as a self-indicator and starch in iodometric titrations.
How do JEE Main and JEE Advanced test redox titrations?
JEE uses n-factors that change with the medium, back titration of ores such as pyrolusite, iodometric estimation of copper, mixtures titrated by two reagents, compounds like tetroxalate with different acid and redox n-factors, disproportionation n-factors and volume strength conversions, often as integer-answer questions.
Previous year questions on Advance Stoichiometry Based on Redox Reactions
13 questions from past papers, each with a step-by-step solution.