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Foundations in Chemistry

Uncertainty, percentage error, precision and accuracy

  • 3 things to know
  • Components 01, 02 and 03

Overview

Recall questions on measurement uncertainty for burettes and balances, the uncertainty in a titre, calculating percentage uncertainty and percentage error, accuracy and precision, and random and systematic errors.

What you need to know

Answer each one before you reveal it.

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Key term

What is the difference between accuracy and precision?

Key term

What is the difference between random and systematic errors?

Process

Calculate the percentage uncertainty in a titre of 24.00 cm³.

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    What is meant by the uncertainty of a measurement?

    Model answer

    The range either side of the recorded value within which the true value is expected to lie, written for example as 25.30 ± 0.05 cm³.

  2. 2

    How is the uncertainty of a reading on an analogue scale such as a burette estimated?

    Model answer

    As half the smallest scale division: a burette is marked every 0.1 cm³, so each reading is ±0.05 cm³.

  3. 3

    What is the uncertainty of a single reading on a two-decimal-place digital balance?

    Model answer

    ±0.01 g, the resolution of the balance (half the resolution, ±0.005 g, is also accepted).

  4. 4

    Why is the uncertainty in a titre ±0.10 cm³ when each burette reading is ±0.05 cm³?

    Model answer

    A titre is the difference between two readings, each with its own uncertainty, so the two are added: 2 × 0.05 = 0.10 cm³.

  5. 5

    State the formula for percentage uncertainty.

    Model answer

    Percentage uncertainty = (uncertainty ÷ measured value) × 100.

  6. 6

    Calculate the percentage uncertainty in a titre of 24.00 cm³.

    Model answer

    (0.10 ÷ 24.00) × 100 = 0.42%.

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AThe first step is Cl• + O₃ → ClO• + O₂.
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