Edexcel International A Level (IAL) Chemistry (YCH11) - Unit 2 - 8.22 Uncertainty in volumetric analysis-Study Notes - New Syllabus

Edexcel International A Level (IAL) Chemistry (YCH11) -Unit 2 – 8.22 Uncertainty in volumetric analysis- Study Notes- New syllabus

Edexcel International A Level (IAL) Chemistry (YCH11) -Unit 2 – 8.22 Uncertainty in volumetric analysis- Study Notes -International A Level (IAL) Chemistry (YCH11) – per latest Syllabus.

Key Concepts:

8.22 understand how to minimise the sources of measurement uncertainty in volumetric analysis and estimate the overall uncertainty in the calculated result

Edexcel International A Level (IAL) Chemistry (YCH11) -Concise Summary Notes- All Topics

8.22 Minimising Uncertainty in Volumetric Analysis & Estimating Overall Uncertainty

Volumetric analysis (titration) involves measurement uncertainties from apparatus and technique. These must be minimised and quantified to assess reliability of results.

(A) Sources of Uncertainty 

  • Burette readings (±0.05 cm\(^3\))
  • Pipette volume (e.g. ±0.06 cm\(^3\))
  • End-point judgement (indicator colour change)
  • Parallax error when reading meniscus

(B) Minimising Uncertainty

1. Technique Improvements

  • Read meniscus at eye level
  • Use white tile to see colour change clearly
  • Add solution dropwise near endpoint
  • Swirl continuously for complete mixing

2. Repeating Measurements

  • Perform multiple titrations
  • Obtain concordant titres (within ±0.10 cm\(^3\))
  • Take average of concordant values

3. Apparatus Handling

  • Rinse burette with solution used
  • Remove air bubbles from burette tip
  • Use volumetric pipette for accuracy

(C) Calculating Percentage Uncertainty

For a single measurement:

\( \mathrm{\%\ uncertainty = \frac{absolute\ uncertainty}{measured\ value} \times 100} \)

Burette Example

  • Two readings (initial + final) → total uncertainty = ±0.10 cm\(^3\)

\( \mathrm{\%\ uncertainty = \frac{0.10}{titre} \times 100} \)

(D) Total Uncertainty in Result

  • Add percentage uncertainties from:
    • Burette
    • Pipette

Rule:

Total % uncertainty ≈ sum of individual % uncertainties

(E) Key Insight

  • Larger titre → smaller % uncertainty
  • Small volumes → larger % error

Summary

  • Minimise errors using careful technique and repetition.
  • Calculate % uncertainty for each measurement.
  • Add uncertainties to estimate total error.

Therefore, reliable titration results depend on both precision and proper uncertainty analysis.

Example 1 

A titration uses a burette (±0.05 cm\(^3\) per reading) and a 25.0 cm\(^3\) pipette (±0.06 cm\(^3\)). The average titre is 24.80 cm\(^3\). Calculate the total percentage uncertainty in the result.

▶️ Answer/Explanation

Burette uncertainty:

Two readings → \( \mathrm{±0.10\ cm^3} \)

\( \mathrm{\%\ = \frac{0.10}{24.80} \times 100 = 0.40\%} \)

Pipette uncertainty:

\( \mathrm{\%\ = \frac{0.06}{25.0} \times 100 = 0.24\%} \)

Total uncertainty:

\( \mathrm{0.40 + 0.24 = 0.64\%} \)

Final Answer: \( \mathrm{0.64\%} \)

Example 2 

A student obtains a titre of 10.20 cm\(^3\) in a titration. Explain why this result has a higher percentage uncertainty than a titre of 25.00 cm\(^3\), and suggest two improvements.

▶️ Answer/Explanation

Explanation:

Percentage uncertainty depends on measured volume.

Smaller titre → same absolute error is a larger percentage.

\( \mathrm{\%\ uncertainty = \frac{0.10}{10.20} \times 100 \approx 0.98\%} \)

This is higher than for 25.00 cm\(^3\).

Improvements:

  • Use a more dilute solution → increases titre volume
  • Repeat titration and average concordant results
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