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Propagation of Uncertainty: Multiplication and Division

Propagation of Uncertainty: Multiplication and Division. CHEM 210. Measure a Volume. Length: 25.21 ± .03 cm Width: 21.24 ± .03 cm Height: 15.20 ± .02 cm Volume is 8138.99808 cm 3 . What is the uncertainty in volume?. Measure a Volume. Measure a Volume. Get the result first.

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Propagation of Uncertainty: Multiplication and Division

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  1. Propagation of Uncertainty: Multiplication and Division CHEM 210

  2. Measure a Volume • Length: 25.21 ± .03 cm • Width: 21.24 ± .03 cm • Height: 15.20 ± .02 cm • Volume is 8138.99808 cm3. • What is the uncertainty in volume?

  3. Measure a Volume

  4. Measure a Volume Get the result first

  5. Measure a Volume Abs. unc. Rel. unc. = Value

  6. Measure a Volume Square the relative uncertainty

  7. Measure a Volume Add the (rel. unc.)2

  8. Measure a Volume Take the square root

  9. Measure a Volume Abs. unc. solve for Rel. unc. = Value

  10. Measure a Volume The volume is 8140 ± 20 cm3

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