![Quantitative Chemical Analysis](https://www.bartleby.com/isbn_cover_images/9781464135385/9781464135385_largeCoverImage.gif)
(a)
Interpretation:
The absolute and percent relative uncertainty with a reasonable number of significant figures has to be written
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:
To Write: The absolute and percent relative uncertainty with a reasonable number of significant figures
(a)
![Check Mark](/static/check-mark.png)
Answer to Problem 3.BE
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:
For multiplication and division, convert absolute uncertainty to percent relative uncertainty.
For
For
For
The uncertainty (e) is calculated as follows,
Substitute all the values in the given problem.
Convert relative uncertainty into absolute uncertainty as follows,
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 written as
(b)
Interpretation:
The absolute and percent relative uncertainty with a reasonable number of significant figures has to be written
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:
To Write: The absolute and percent relative uncertainty with a reasonable number of significant figures
(b)
![Check Mark](/static/check-mark.png)
Answer to Problem 3.BE
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:
First solve the terms in bracket.
For multiplication and division, convert absolute uncertainty to percent relative uncertainty.
For
For
The uncertainty (e) is calculated as follows,
Substitute all the values in the given problem.
Therefore, the absolute uncertainty is
The percent relative uncertainty is calculated as follows,
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 written as
(c)
Interpretation:
The absolute and percent relative uncertainty with a reasonable number of significant figures has to be written
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:
To Write: The absolute and percent relative uncertainty with a reasonable number of significant figures
(c)
![Check Mark](/static/check-mark.png)
Answer to Problem 3.BE
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:
First solve the terms in bracket.
For multiplication and division, convert absolute uncertainty to percent relative uncertainty.
Substitute the above value and rewrite the given equation.
For
For
Substitute all the values in the given problem.
Convert relative uncertainty into absolute uncertainty as follows,
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 written as
(d)
Interpretation:
The absolute and percent relative uncertainty with a reasonable number of significant figures has to be written
Concept Introduction:
Uncertainty for powers and roots:
For the function
To Write: The absolute and percent relative uncertainty with a reasonable number of significant figures
(d)
![Check Mark](/static/check-mark.png)
Answer to Problem 3.BE
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:
Use
Now,
Convert relative uncertainty into absolute uncertainty as follows,
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 written
(e)
Interpretation:
The absolute and percent relative uncertainty with a reasonable number of significant figures has to be written
Concept Introduction:
Uncertainty for powers and roots:
For the function
To Write: The absolute and percent relative uncertainty with a reasonable number of significant figures
(e)
![Check Mark](/static/check-mark.png)
Answer to Problem 3.BE
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:
Use
Now,
Convert relative uncertainty into absolute uncertainty as follows,
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 written as
(f)
Interpretation:
The absolute and percent relative uncertainty with a reasonable number of significant figures has to be written
Concept Introduction:
Exponents and logarithm:
Consider,
Here, the absolute uncertainty in
To Write: The absolute and percent relative uncertainty with a reasonable number of significant figures
(f)
![Check Mark](/static/check-mark.png)
Answer to Problem 3.BE
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:
Use
Now,
Calculate percent relative uncertainty as follows,
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 written as
(g)
Interpretation:
The absolute and percent relative uncertainty with a reasonable number of significant figures has to be written
Concept Introduction:
Exponents and logarithm:
Consider,
Here, the relative uncertainty in y is proportional to the absolute uncertainty in x.
To Write: The absolute and percent relative uncertainty with a reasonable number of significant figures
(g)
![Check Mark](/static/check-mark.png)
Answer to Problem 3.BE
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:
Use
Now,
Convert percent relative uncertainty into absolute uncertainty as follows,
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 written as
Want to see more full solutions like this?
Chapter 3 Solutions
Quantitative Chemical Analysis
- Indicate which one of the following reactions most certainly results in a negative AS sys. O1402(g) + 3NH4NO3 (s) + C10 H22(1) → 3N2(g) + 17H2O(g) + 10CO2(g) ○ CO2(aq) = CO2(g) ○ H₂O(g) = H₂O(s) CaCO3(g) = CaO(s) + CO2(g) O CuSO4.5H2O(s) = CuSO4(s) + 5H2O(g)arrow_forwardEstimate the DH°rxn of the reaction below: H H-C-C=C-H H Н A table of bond energy Bond H Bond Energy (kJ/mol) C-H 413 C-O 360 C=O 743 C-C 348 |C = C 612 O-H 463 H-H 436 + H-H -> H H-C. - H | | 1 HHHarrow_forwardShow work...don't give Ai generated solutionarrow_forward
- Given the standard enthalpies of formation for the following substances, determine the reaction enthalpy for the following reaction. 3A(g) + 1B (g) 4C (g) + 7D (g) Substance AH in kJ/mol A (g) - 25.07 B (g) - 36.51 C (g) - 90.09 D (g) + 56.11 AHran =?kJarrow_forwardWhat is the change in internal energy (ΔU) when a system is heated with 42.0 J of energy while it does 110.0 J of work?arrow_forwardCan you help me solve this problem and explain what the answers are?arrow_forward
- For which reaction below does the enthalpy change under standard conditions correspond to a standard enthalpy of formation? (Choose all that applies) SO2(g) + 1/2 O2(g) → SO3(g) 2H2(g) + C(s) → CH4(g) Mg(s) + 1/2 O2(g) → MgO(s) CO(g) + H2O(g) → CO2(g) + H2(g) CO2(g) + H2(g) → CO(g) + H2O(g) 1/2 H2(g) + 1/2 N2(g) + 3/2 O2(g) → HNO3(g) CO2(g) + C(s) 2CO(g) N2(g) + 202(g) → 2NO2(g)arrow_forwardChoose all the molecules with zero standard-enthalpy-of-formation (AH% = 0) Fe(s) FeCl2(s) N2(g) H2O(l) 02(g) C(graphite) K(s) H2O(g)arrow_forward8.5 g of potassium hydroxide (molar mass = 56.1 g/mol) dissolves in 125 g of water and the temperature of the solution increases by 15.58°C. Calculate the AH soln for potassium hydroxide. Assume the specific heat capacity of the solution is 4.2 J.g¨¹.ºC-1. KOH(s) → →K+ K(aq) + OH AH solution = ?kJ/mol (aq)arrow_forward
- What will be the final temperature of a 8.79 g piece of iron (CP = 25.09 J/(mol · oC)) initially at 25.0oC, if it is supplied with 302.8 J from a stove?arrow_forwardIdentify the set of stoichiometric coefficients that balances the reaction equation for the combustion of the hydrocarbon below: _ C19 H4002 → CO2 + H2Oarrow_forwardThe cooling system in an automobile holds 11.3 L of ethylene glycol antifreeze. How much energy is absorbed when the temperature of the ethylene glycol goes from 20oC to 100oC? The density and specific heat capacity of ethylene glycol are 1.11 g/mL and 2.42 J/(g ⋅ oC), respectively.arrow_forward
- 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
![Text book image](https://www.bartleby.com/isbn_cover_images/9781305957404/9781305957404_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9781259911156/9781259911156_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9781305577213/9781305577213_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9780078021558/9780078021558_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9781305079373/9781305079373_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9781118431221/9781118431221_smallCoverImage.gif)