Percent Error = | experimental value - known value | x 100% known value Screen Reader Note: To calculate percent error, find the absolute value of the difference between experimental value and known value. Take this and divide it the known value. After that, multiply by 100 %. End of note. Given the known heat of vaporization (delta H vap) of water is 44.01 kJ/mole, find the percent error using the experimentally determined delta H vap of 49.76 kJ/mole. Express with units of % in the units box.

Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
icon
Related questions
Question
**Understanding Percent Error in Scientific Measurements**

## Formula for Percent Error

\[ \text{Percent Error} = \left| \frac{\text{experimental value} - \text{known value}}{\text{known value}} \right| \times 100\% \]

### Explanation for Screen Readers:
To calculate percent error, find the absolute value of the difference between the experimental value and the known value. Divide this difference by the known value and then multiply the result by 100 percent.

## Practical Example

Given:
- The known heat of vaporization (ΔHvap) of water is 44.01 kJ/mole.
- An experimentally determined ΔHvap is 49.76 kJ/mole.

### Task:
Find the percent error using the provided experimental value and the known value. Express the result as a percentage.

1. **Calculate the Difference**:
\[ \left| \text{49.76 kJ/mole} - \text{44.01 kJ/mole} \right| = \left| 5.75 \right| = 5.75 \text{ kJ/mole} \]

2. **Divide by the Known Value**:
\[ \frac{5.75 \text{ kJ/mole}}{44.01 \text{ kJ/mole}} \approx 0.1307 \]

3. **Convert to Percentage**:
\[ 0.1307 \times 100\% \approx 13.07\% \]

### Conclusion:
The percent error in the experimentally determined heat of vaporization of water is approximately 13.07%. 

#### Note:
When calculating percent error, it is crucial to use the absolute value of the difference to avoid negative percentage errors, which do not have a meaningful interpretation in this context.
Transcribed Image Text:**Understanding Percent Error in Scientific Measurements** ## Formula for Percent Error \[ \text{Percent Error} = \left| \frac{\text{experimental value} - \text{known value}}{\text{known value}} \right| \times 100\% \] ### Explanation for Screen Readers: To calculate percent error, find the absolute value of the difference between the experimental value and the known value. Divide this difference by the known value and then multiply the result by 100 percent. ## Practical Example Given: - The known heat of vaporization (ΔHvap) of water is 44.01 kJ/mole. - An experimentally determined ΔHvap is 49.76 kJ/mole. ### Task: Find the percent error using the provided experimental value and the known value. Express the result as a percentage. 1. **Calculate the Difference**: \[ \left| \text{49.76 kJ/mole} - \text{44.01 kJ/mole} \right| = \left| 5.75 \right| = 5.75 \text{ kJ/mole} \] 2. **Divide by the Known Value**: \[ \frac{5.75 \text{ kJ/mole}}{44.01 \text{ kJ/mole}} \approx 0.1307 \] 3. **Convert to Percentage**: \[ 0.1307 \times 100\% \approx 13.07\% \] ### Conclusion: The percent error in the experimentally determined heat of vaporization of water is approximately 13.07%. #### Note: When calculating percent error, it is crucial to use the absolute value of the difference to avoid negative percentage errors, which do not have a meaningful interpretation in this context.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Group 1 Elements
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, chemistry and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Chemistry
Chemistry
Chemistry
ISBN:
9781305957404
Author:
Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:
Cengage Learning
Chemistry
Chemistry
Chemistry
ISBN:
9781259911156
Author:
Raymond Chang Dr., Jason Overby Professor
Publisher:
McGraw-Hill Education
Principles of Instrumental Analysis
Principles of Instrumental Analysis
Chemistry
ISBN:
9781305577213
Author:
Douglas A. Skoog, F. James Holler, Stanley R. Crouch
Publisher:
Cengage Learning
Organic Chemistry
Organic Chemistry
Chemistry
ISBN:
9780078021558
Author:
Janice Gorzynski Smith Dr.
Publisher:
McGraw-Hill Education
Chemistry: Principles and Reactions
Chemistry: Principles and Reactions
Chemistry
ISBN:
9781305079373
Author:
William L. Masterton, Cecile N. Hurley
Publisher:
Cengage Learning
Elementary Principles of Chemical Processes, Bind…
Elementary Principles of Chemical Processes, Bind…
Chemistry
ISBN:
9781118431221
Author:
Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard
Publisher:
WILEY