(a)
Interpretation:
The absolute and percent relative uncertainty with a reasonable number of significant figures has to be found out for
Concept Introduction:
Uncertainty:
Uncertainty means state of not certain in predicting a value. In a measured value, the last digit will have associated uncertainty. Uncertainty has two values, absolute uncertainty and relative uncertainty.
Absolute uncertainty:
Expressed the marginal value associated with a measurement
Relative uncertainty:
Compares the size of absolute uncertainty with the size of its associated measurement
For a set measurements having uncertainty values as
Percent relative uncertainty:
(a)
Answer to Problem 3.12P
The absolute and percent relative uncertainty with a reasonable number of significant figures is
Explanation of Solution
Given data:
Calculation of absolute and percent relative uncertainty:
On solving the given division, we get
For division of
For
For
Therefore,
Convert relative uncertainty into absolute uncertainty as
Therefore,
The absolute uncertainty for the above division part obtained as
For the multiplication of
For multiplication of
For
For
The uncertainty (e) is calculated as follows,
Therefore, the relative uncertainty is given as
Convert the relative uncertainty to absolute uncertainty as
Therefore, the absolute uncertainty is given as
The absolute and percent relative uncertainty with a reasonable number of significant figures is found as
(b)
Interpretation:
The absolute and percent relative uncertainty with a reasonable number of significant figures has to be found out for
Concept Introduction:
Refer part (a).
(b)
Answer to Problem 3.12P
The absolute and percent relative uncertainty with a reasonable number of significant figures is
Explanation of Solution
Given data:
Calculation of absolute and percent relative uncertainty:
On solving the given multiplication, we get
For multiplication of
For
For
The uncertainty (e) is calculated as follows,
Therefore, the relative uncertainty is given as
Convert
For subtraction of
Convert absolute uncertainty
Therefore,
The absolute uncertainty is given as
The percent relative uncertainty is
The absolute and percent relative uncertainty with a reasonable number of significant figures is founds as
(c)
Interpretation:
The absolute and percent relative uncertainty with a reasonable number of significant figures has to be found out for
Concept Introduction:
Refer part (a).
(c)
Answer to Problem 3.12P
The absolute and percent relative uncertainty with a reasonable number of significant figures is
Explanation of Solution
Given data:
Calculation of absolute and percent relative uncertainty:
On solving the given subtraction, we get
The uncertainty (e) is calculated as follows,
Therefore, the absolute uncertainty of
For division, convert absolute uncertainty to percent relative uncertainty.
For
For
On solving the given division, we get
The uncertainty (e) is calculated as below,
Convert relative uncertainty into absolute uncertainty as
Therefore,
The absolute uncertainty is given as
The percent relative uncertainty is
The absolute and percent relative uncertainty with a reasonable number of significant figures is calculated as
Want to see more full solutions like this?
Chapter 3 Solutions
Exploring Chemical Analysis
- ChemistryChemistryISBN:9781305957404Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCostePublisher:Cengage LearningChemistryChemistryISBN:9781259911156Author:Raymond Chang Dr., Jason Overby ProfessorPublisher:McGraw-Hill EducationPrinciples of Instrumental AnalysisChemistryISBN:9781305577213Author:Douglas A. Skoog, F. James Holler, Stanley R. CrouchPublisher:Cengage Learning
- Organic ChemistryChemistryISBN:9780078021558Author:Janice Gorzynski Smith Dr.Publisher:McGraw-Hill EducationChemistry: Principles and ReactionsChemistryISBN:9781305079373Author:William L. Masterton, Cecile N. HurleyPublisher:Cengage LearningElementary Principles of Chemical Processes, Bind...ChemistryISBN:9781118431221Author:Richard M. Felder, Ronald W. Rousseau, Lisa G. BullardPublisher:WILEY