11.1.4.2 - Percentage Uncertainty (Relative Uncertainty)

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

Calculate the percentage uncertainty for a measurement of 100.0 mL with an uncertainty of Β±0.2 mL.

πŸ’‘ Hint: Use the formula: (absolute uncertainty / measured value) x 100.

Question 2

Easy

If a temperature is measured as 30.0 Β°C with an uncertainty of Β±0.5 Β°C, what is the percentage uncertainty?

πŸ’‘ Hint: Remember to divide uncertainty by the measured value.

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Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

What is the formula for calculating percentage uncertainty?

  • (Absolute Uncertainty / Measured Value) x 100%
  • (Measured Value / Absolute Uncertainty) x 100%
  • Absolute Uncertainty + Measured Value

πŸ’‘ Hint: Remember the relationship between uncertainty and measures.

Question 2

True or False: A higher percentage uncertainty indicates a more precise measurement.

  • True
  • False

πŸ’‘ Hint: Think about what precision means in terms of measurements.

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Challenge Problems

Push your limits with challenges.

Question 1

You measure a solution's concentration as 0.200 M with an uncertainty of Β±0.002 M. Calculate the percentage uncertainty. Then combine this with a volume measurement of 50.0 mL (Β±0.5 mL) to find the overall uncertainty in the derived molarity for a reaction.

πŸ’‘ Hint: Remember to apply percentage rules correctly.

Question 2

In a titration experiment, you measure a final volume as 15.00 mL (Β±0.04 mL). If the initial volume was 10.00 mL (Β±0.01 mL), calculate the percentage uncertainty for the difference in volume and interpret the precision of your measurements.

πŸ’‘ Hint: Analyze how uncertainties combine in subtraction.

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