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DSE Chemistry — Redox, Oxidation Numbers and Titration Lesson-Prep Guide (for tutors) — half-equations and electron balance

DSE Chemistry — Redox, Oxidation Numbers and Titration Lesson-Prep Guide (for tutors) — half-equations and electron balance

  • 2026-11-03

Students can say “losing electrons is oxidation” but cannot tell which atom changes in permanganate or how many electrons it takes. This lesson enters through oxidation numbers and closes the loop with electron balance and titration.

Objectives — Students can: (1) assign oxidation numbers with the four rules; (2) write an acidic half-equation and balance the overall equation by equal electrons; (3) find an unknown concentration from titre volume and mole ratio with correct significant figures.

01 Prerequisites (3-minute check)

If any of these fails, fix it before the lesson starts.

Skill Quick check Pass mark
Mole concentration Moles in 250 cm3 of 0.10 M solution 0.025 mol
Oxidation number of an element Value for an uncombined element Zero
Significant figures How many in 25.0 cm3 Three

02 Lesson flow (60 minutes)

Time Stage Tutor does Student does
0-10 min Rules Four rules demonstrated one by one Find Mn, Cr and S values
10-24 min Half-equations Atoms, then charge, then electrons Write the manganate half-equation
24-38 min Balancing Lowest common multiple of electrons Fe2+ to MnO4- becomes 5 to 1
38-50 min Titration n = cV, mole ratio, divide by sample volume Gives 0.100 M
50-56 min Errors and end point End point versus equivalence point Explain the effect of one drop
56-60 min Exit check Three questions collected and marked Independent

03 Teaching script (read it out)

Scene 1: Oxidation numbers: four rules cover everything

One: an uncombined element is zero. Two: numbers in a compound sum to zero, in a polyatomic ion to the charge. Three: oxygen is usually -2, but -1 in peroxides such as H2O2. Four: hydrogen is usually +1, and -1 in metal hydrides.
MnO4-: Mn + 4(-2) = -1 so Mn is +7. Cr2O72-: 2Cr + 7(-2) = -2 so Cr is +6.
Sulphur is +6 in H2SO4 but only +4 in SO2, so every case must be calculated rather than memorised.

Ask the student to repeat: write the sum equation first, then solve for the unknown.

Scene 2: Half-equations: count the electrons properly

MnO4- + 8H+ + 5e- gives Mn2+ + 4H2O: balance the metal, balance oxygen with water, balance hydrogen with H+, then balance charge with electrons. The left side is -1 + 8 = +7 and the right is +2, a difference of five, hence five electrons.
Fe2+ gives Fe3+ + e-, so multiplying by five gives MnO4- + 5Fe2+ + 8H+ giving Mn2+ + 5Fe3+ + 4H2O.
In neutral or alkaline solution the same ion takes only three electrons and forms MnO2, so the acidic condition must be stated.

Ask the student to repeat: manganese falls from +7 to +2, a drop of five, so five electrons move.

Scene 3: Titration: from mole ratio to concentration

With 0.0200 M KMnO4 and 25.0 cm3 used, moles of MnO4- are 5.00e-4. The ratio is 1 to 5, so Fe2+ is 2.500e-3 mol. The sample was 25.0 cm3, so the concentration is 0.100 M.
The iron mass is 2.500e-3 times 55.85, which is 0.140 g, or 5.59 g per litre. If the sample is FeSO4.7H2O, iron is 20.1 percent by mass.

Ask the student to repeat: moles are an amount, molarity is per litre, so always divide by the sample volume.

04 Question types and worked steps

Type Example Steps Answer
Assign Oxidation number Write the sum equation and solve Mn +7, Cr +6, oxygen -1 in peroxide
Balance Acidic half-equation Atoms, then H+, then electrons Manganate takes 5 electrons
Calculate Concentration from titration n = cV, mole ratio, divide by volume Fe2+ is 0.100 M
Explain Oxidising and reducing agents Watch the change in oxidation number Manganate is reduced so it is the oxidising agent
Sanity check (teach this): The electron count always equals the total change in oxidation number: manganese drops by five and iron rises by one, so the ratio must be 1 to 5, and a 1 to 1 answer means the half-equation was copied wrongly. Titration answers need units: 2.500e-3 mol is an amount while 0.100 M is a concentration. Dichromate takes six electrons, so the same titre of dichromate oxidises 1.5 times as much iron as manganate.

05 Independent practice (3 questions)

Question Answer What to watch
Oxidation number of Mn in MnO4- +7 Was the ion charge treated as zero?
Moles of Fe2+ oxidised by 25.0 cm3 of 0.0200 M KMnO4 2.500e-3 mol Was the 1 to 5 ratio used?
Mass percentage of Fe in FeSO4.7H2O 20.1 percent Were the seven waters included?

06 Common mistakes and what to say

Mistake Student writes Say this
Treating peroxide oxygen as -2 Writes -2 “The two oxygens in hydrogen peroxide are bonded, so each is -1.”
Giving manganate only two electrons Balances 2 to 1 “In acid, manganese falls from +7 to +2, which takes five electrons.”
Reporting moles as concentration Stops at 2.500e-3 mol “Moles are an amount, molarity is per litre, so divide by the sample volume.”
Confusing end point with equivalence point Uses the first pink tinge directly “The end point is what you see; the equivalence point is theoretical, and one drop separates them.”

07 Homework (paper, section and question numbers)

08 Exit check (last 5 minutes)

Question Answer Decision
Oxidation number of Cr in Cr2O72- +6 Three correct means move on to electrochemistry
Electrons gained by MnO4- in acid 5 One wrong means reteach half-equations
Next step after finding 0.0025 mol Divide by the sample volume to get concentration Two wrong means restart act one

09 Tutor FAQ

Are oxidation numbers always whole numbers?

In simple compounds and ions yes, but average values can be fractions, such as +8/3 for iron in Fe3O4.

Can five electrons be assumed without the acid condition?

No. In neutral or alkaline solution manganate takes three electrons and forms MnO2.

Why repeat a titration three times?

To reduce random error; if the titres differ by more than 0.10 cm3, look for bubbles or an unrinsed burette.

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A TutorZone lesson-prep guide. Written by the TutorZone team; questions and lesson flow are original and are not taken from any school or publisher material.

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