How Do You Calculate Uncertainty in Chemical Molarity?

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SUMMARY

The discussion focuses on calculating uncertainty in chemical molarity, specifically using the formula n = cv, where v is the volume and c is the concentration. The volume is given as 10.00 ± 0.03 cm³, which must be converted to dm³, and the concentration is 1.00 mol dm⁻³. It is established that the uncertainty in volume must also be converted, and since concentration is treated as an exact value, the uncertainty in the number of moles (n) is derived solely from the uncertainty in volume.

PREREQUISITES
  • Understanding of the formula n = cv for calculating moles.
  • Knowledge of unit conversions, specifically between cm³ and dm³.
  • Familiarity with the concept of uncertainty in measurements.
  • Basic principles of molarity in chemistry.
NEXT STEPS
  • Research methods for converting volume units, focusing on cm³ to dm³ conversions.
  • Study how to propagate uncertainty in calculations involving multiple variables.
  • Learn about significant figures and their role in reporting uncertainties.
  • Explore the concept of exact values in measurements and their implications for uncertainty.
USEFUL FOR

Chemistry students, educators, and professionals involved in laboratory work who need to accurately calculate and report uncertainties in molarity and other chemical measurements.

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Homework Statement


Find the number of moles:
v = 10.00 +/- 0.03 cm3
c = 1.00 mol dm-3

Homework Equations



n = cv

The Attempt at a Solution



When you are converted cm3 to dm3, do you need to also convert the uncertainty?
When you finding n, and you are not given an uncertainty for c is the uncertainty the given one?

Thanks.
 
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You need to convert the uncertainty as well.

It seems that c is an exact value and you have an uncertainty in v.

Ask yourself 'what is the maximum and minimum value n can take with the uncertainties given?'.
 

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