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S5 Chemistry Titration and pH, Paper 3: diprotic acids, dilution, mixtures and titration data

S5 Chemistry Titration and pH, Paper 3: diprotic acids, dilution, mixtures and titration data

  • 2026-11-02

S5 Chemistry Titration and pH, Paper 3: diprotic acids, dilution, mixtures and titration data

Ten graded items from a carbonate volume through diprotic and diluted pH, weak acid Ka, back titration and a mean titre, each with an answer.

Focus Carbonate reacts one to two with acid; take the square root for a weak acid; subtract the excess in a back titration; discard the odd reading.

01 Paper details (check answers afterwards)

Item Detail
Questions 10
Suggested time 25
Difficulty mix Foundation 4 · Intermediate 3 · Challenge 2 · Error redo 1
Chapter Chapter: S5 Chemistry: Acid-Base Titration and pH
Level Four basic, three advanced, two challenge and one error-repair item

02 Questions (10 items)

  1. FoundationWhat volume of 0.0500 mol dm^-3 sodium carbonate neutralises 20.0 cm^3 of 0.100 mol dm^-3 hydrochloric acid?
  2. FoundationWhat is the pH of 0.0025 mol dm^-3 sulphuric acid, fully ionised in both stages?
  3. FoundationWhat is the pH of 0.0020 mol dm^-3 sodium hydroxide at 25 C?
  4. FoundationWhich indicator is chosen when hydrochloric acid titrates aqueous ammonia, whose equivalence point is below pH 7?
  5. IntermediateWhat is the approximate pH of 0.100 mol dm^-3 of a weak acid HA with Ka = 1.8 x 10^-5?
  6. Intermediate10.0 cm^3 of 0.100 mol dm^-3 hydrochloric acid is diluted to 250 cm^3. What is the new pH?
  7. Intermediate30.0 cm^3 of 0.100 mol dm^-3 hydrochloric acid is mixed with 20.0 cm^3 of 0.100 mol dm^-3 sodium hydroxide. What is the pH?
  8. Challenge1.00 g of a sample containing calcium carbonate is treated with 50.0 cm^3 of 0.200 mol dm^-3 hydrochloric acid and the excess needs 20.0 cm^3 of 0.100 mol dm^-3 sodium hydroxide. Find the percentage by mass of calcium carbonate.
  9. ChallengeTitres of 23.90, 24.00 and 27.50 cm^3 are obtained against 25.0 cm^3 of 0.100 mol dm^-3 sodium hydroxide. Find the acid concentration.
  10. Error redoError repair: a pipette rinsed with distilled water is used straight away to measure the sodium hydroxide. Does the calculated acid concentration come out high or low?

03 Answers and one-line notes

# Answer One-line note
1 20.0 cm^3 The acid is 0.00200 mol and sodium carbonate reacts one to two, so 0.00100 mol is needed, which divides by 0.0500 to give 20.0 cm^3.
2 pH 2.30 The hydrogen ion concentration is 0.0025 times two, or 0.0050, whose negative logarithm is 2.30.
3 pH 11.30 The hydroxide concentration is 0.0020, so the pOH is 2.70 and the pH is 14 minus 2.70.
4 Methyl orange At the equivalence point only the salt of a weak base remains and ammonium ions hydrolyse to make it acidic, which methyl orange covers from pH 3.1 to 4.4.
5 pH 2.87 For a weak acid the hydrogen ion concentration is about the square root of Ka times the concentration, giving 1.3 x 10^-3.
6 pH 2.40 Diluting 25 times takes the hydrogen ion concentration from 0.100 down to 0.00400, whose negative logarithm is 2.40.
7 pH 1.70 The acid is in excess by 0.00100 mol, which over the 0.0500 dm^3 total gives 0.0200 mol dm^-3 of hydrogen ions.
8 40.0% The acid totals 0.0100 mol and the back titration uses 0.00200 mol, so 0.00800 mol reacted, which is 0.00400 mol or 0.400 g of calcium carbonate.
9 0.104 mol dm^-3 The 27.50 cm^3 reading is far off and discarded, so the mean of 23.90 and 24.00 is 23.95 cm^3, and 0.00250 mol over 0.02395 dm^3 gives the answer.
10 Low, because the alkali being titrated is diluted Water left in the pipette dilutes the alkali, so fewer moles are transferred, less acid is needed and the calculated concentration comes out low.

04 What to do after marking

  • After marking, redo only the wrong items and write down which step went wrong (formula, unit, or misread number).
  • Repeat the same item two days later; move to the next paper only when both attempts are correct.
  • Parents only need the answer and note columns; there is no need to explain every item.

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