A volume is measured as 1000 mL with an error of 10 mL. What is the relative err

Practice Questions

Q1
A volume is measured as 1000 mL with an error of 10 mL. What is the relative error?
  1. 0.01
  2. 0.1
  3. 0.001
  4. 0.05

Questions & Step-by-Step Solutions

A volume is measured as 1000 mL with an error of 10 mL. What is the relative error?
  • Step 1: Identify the measured value, which is 1000 mL.
  • Step 2: Identify the absolute error, which is 10 mL.
  • Step 3: Use the formula for relative error: Relative error = Absolute error / Measured value.
  • Step 4: Substitute the values into the formula: Relative error = 10 mL / 1000 mL.
  • Step 5: Calculate the result: 10 / 1000 = 0.01.
  • Relative Error – Relative error is a measure of the uncertainty of a measurement compared to the size of the measurement itself, expressed as a fraction or percentage.
  • Absolute Error – Absolute error is the difference between the measured value and the true value, indicating the magnitude of the error.
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