3) Propagation of uncertainty. Every measurement has uncertainty. In this problem, we'll evaluate the uncertainty in every step of a titration of potassium hydrogen phthalate (a common acid used in titrations, abbreviated KHP, formula CsH5KO4) with NaOH of an unknown concentration. The calculation that ultimately needs to be carried out is: concentration NaOH 1000 x mass KHP × purity KHP molar mass KHP x volume NaOH Measurements: a) You use a balance to weigh 0.3992 g of KHP. The uncertainty is ±0.15 mg (0.00015 g). b) You use a buret to slowly add NaOH to the KHP until it reaches the endpoint. It takes 18.73 mL of NaOH. The uncertainty of the burst is 0.03 mL.. c) The manufacturer states the purity of KHP is 100%±0.05%. d) Even though we don't think much about them, molar masses have uncertainty as well. The uncertainty comes from the distribution of isotopes, rather than random measurement error. The uncertainty in the elements composing KHP are: a. Carbon: b. Hydrogen: ±0.0008 ±0.00007 c. Oxygen: ±0.0003 d. Potassium ±0.0001

Chemistry: Principles and Practice
3rd Edition
ISBN:9780534420123
Author:Daniel L. Reger, Scott R. Goode, David W. Ball, Edward Mercer
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Chapter12: Solutions
Section: Chapter Questions
Problem 12.107QE
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3) Propagation of uncertainty. Every measurement has uncertainty. In this problem, we'll
evaluate the uncertainty in every step of a titration of potassium hydrogen phthalate (a
common acid used in titrations, abbreviated KHP, formula CsH5KO4) with NaOH of an
unknown concentration.
The calculation that ultimately needs to be carried out is:
concentration NaOH
1000 x mass KHP × purity KHP
molar mass KHP x volume NaOH
Measurements:
a) You use a balance to weigh 0.3992 g of KHP. The uncertainty is ±0.15 mg (0.00015
g).
b) You use a buret to slowly add NaOH to the KHP until it reaches the endpoint. It takes
18.73 mL of NaOH. The uncertainty of the burst is 0.03 mL..
c) The manufacturer states the purity of KHP is 100%±0.05%.
d) Even though we don't think much about them, molar masses have uncertainty as well.
The uncertainty comes from the distribution of isotopes, rather than random
measurement error. The uncertainty in the elements composing KHP are:
a. Carbon:
b. Hydrogen:
±0.0008
±0.00007
c. Oxygen:
±0.0003
d. Potassium
±0.0001
Transcribed Image Text:3) Propagation of uncertainty. Every measurement has uncertainty. In this problem, we'll evaluate the uncertainty in every step of a titration of potassium hydrogen phthalate (a common acid used in titrations, abbreviated KHP, formula CsH5KO4) with NaOH of an unknown concentration. The calculation that ultimately needs to be carried out is: concentration NaOH 1000 x mass KHP × purity KHP molar mass KHP x volume NaOH Measurements: a) You use a balance to weigh 0.3992 g of KHP. The uncertainty is ±0.15 mg (0.00015 g). b) You use a buret to slowly add NaOH to the KHP until it reaches the endpoint. It takes 18.73 mL of NaOH. The uncertainty of the burst is 0.03 mL.. c) The manufacturer states the purity of KHP is 100%±0.05%. d) Even though we don't think much about them, molar masses have uncertainty as well. The uncertainty comes from the distribution of isotopes, rather than random measurement error. The uncertainty in the elements composing KHP are: a. Carbon: b. Hydrogen: ±0.0008 ±0.00007 c. Oxygen: ±0.0003 d. Potassium ±0.0001
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