Question 1Fictional titres / cm^3 are rough 25.10, then 24.60, 24.65, 24.60. A stated selection rule accepts non-rough titres within 0.10 cm^3. Each neutralises 25.00 cm^3 of monoprotic acid with 0.1000 mol/dm^3 NaOH. Calculate the mean and acid concentration, retaining guard digits. Each burette reading has maximum error 0.05 cm^3; the acid pipette has maximum error 0.03 cm^3. Treat titrant concentration as exact; estimate a first-order worst-case concentration percentage bound. Explain why dividing the reading bound by sqrt(3) is unjustified, and predict the bias from water remaining in the titrant burette. Give a connected worked response with calculations, justified conclusions and limitations. All datasets are original fictional practice, not official experiment results. Written/supplied-data work only; any actual laboratory or field activity requires teacher approval, risk assessment and supervision. No human trials. Primary reading: https://www.cambridgeinternational.org/Images/664563-2025-2027-syllabus.pdf5 indicative marks
Fictional titres / cm^3 are rough 25.10, then 24.60, 24.65, 24.60. A stated selection rule accepts non-rough titres within 0.10 cm^3. Each neutralises 25.00 cm^3 of monoprotic acid with 0.1000 mol/dm^3 NaOH. Calculate the mean and acid concentration, retaining guard digits. Each burette reading has maximum error 0.05 cm^3; the acid pipette has maximum error 0.03 cm^3. Treat titrant concentration as exact; estimate a first-order worst-case concentration percentage bound. Explain why dividing the reading bound by sqrt(3) is unjustified, and predict the bias from water remaining in the titrant burette. Give a connected worked response with calculations, justified conclusions and limitations. All datasets are original fictional practice, not official experiment results. Written/supplied-data work only; any actual laboratory or field activity requires teacher approval, risk assessment and supervision. No human trials. Primary reading: https://www.cambridgeinternational.org/Images/664563-2025-2027-syllabus.pdf
Cambridge 2027: Partial conceptual match
Titre selection, bounds and dilution bias: selected written evidence only. Selected titres, unrounded mean, molar balance and additive reading/pipette bounds independently calculated; direction of dilution bias checked. Science practical-N and computing rN rows are internal identifiers, not official numbered leaf syllabus codes. Aggregate rows are only partially supported. Actual apparatus use, candidate coding execution and practical attainment are not demonstrated here. Independent teacher review remains required.
- 9701: 2.4: Reacting amounts and solution volumes
- 9701: Paper 3 / Analysis, conclusions and evaluation: Laboratory data analysis
- 9701: Paper 3 / Identifying sources of error and suggesting improvements: Measurement limitations and improvement
- 9701: Paper 3 / Titration experiments: Hands-on quantitative techniques
AI-assisted placement. Independent teacher approval pending.
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Worked guidance
- Keep the rough result in the record but exclude it under the declared rule. The other three span 0.05 cm^3, so all qualify. Their sum is 73.85 cm^3 and mean 24.6166667 cm^3. For HA + NaOH -> NaA + H2O, n(NaOH) = 0.1000 x 24.6166667/1000 mol and c(HA) = n/0.02500 = 0.0984667 mol/dm^3.
- Two endpoint bounds add to 0.10 cm^3. The first-order ratio bound is 100(0.10/24.6166667 + 0.03/25.00) = 0.52623%. This excludes endpoint chemistry and titrant uncertainty, so it is not a full uncertainty statement. Averaging can reduce independent random variation, not a shared burette calibration error.
- A wet unconditioned burette makes actual base concentration smaller than the value entered in the calculation. More volume is then required for the same acid amount; multiplying by the nominal concentration biases acid concentration high. Endpoint overshoot is another plausible high-bias mechanism, distinguishable by procedural records. Real corrosive solutions require a teacher-approved risk assessment, eye protection and supervised technique; no titration is to be performed from these data.
Self-marking points
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- Use the three non-rough titres: mean 24.6167 cm^3, recorded as 24.62 cm^3.
- The 1:1 acid concentration is 0.09847 mol/dm^3 at four significant figures.
- Titre bound is 0.10 cm^3 from two readings; concentration bound is about 0.526%.
- A common calibration bound is not reduced simply because three titres were averaged.
- Water dilution of titrant tends to require a larger titre and overestimate acid concentration if nominal NaOH concentration is used.
Examiner tip
Indicative original worked practice, independent teacher approval pending. Explain assumptions and alternatives; do not equate a correct written answer with observed practical performance.