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...
Related questions
Question
![### Electrochemical Cell Potential Calculation
**Problem Statement:**
Enter your answer in the provided box.
What is the potential of a cell made up of Zn / Zn²⁺ and Cu / Cu²⁺ half-cells at 25°C if
\[ \left[ \text{Zn}^{2+} \right] = 0.11 \, \text{M} \]
and
\[ \left[ \text{Cu}^{2+} \right] = 0.81 \, \text{M} ? \]
**Answer Box:**
\[ \boxed{} \text{ V} \]
**Explanation:**
To find the potential of the electrochemical cell, use the Nernst Equation:
\[ E_{\text{cell}} = E^\circ_{\text{cell}} - \frac{0.0592}{n} \log Q \]
Where:
- \( E^\circ_{\text{cell}} \) is the standard cell potential
- \( n \) is the number of moles of electrons transferred
- \( Q \) is the reaction quotient
For the Zn/Cu cell, the redox reactions and their standard potentials (at 25°C) are:
\[ \text{Zn} \rightarrow \text{Zn}^{2+} + 2e^- \quad (E^\circ_{\text{Zn/Zn}^{2+}} = -0.76\, \text{V}) \]
\[ \text{Cu}^{2+} + 2e^- \rightarrow \text{Cu} \quad (E^\circ_{\text{Cu}^{2+}/\text{Cu}} = +0.34 \, \text{V}) \]
So, the overall standard cell potential is:
\[ E^\circ_{\text{cell}} = E^\circ_{\text{Cu}^{2+}/\text{Cu}} - E^\circ_{\text{Zn}/\text{Zn}^{2+}} \]
\[ E^\circ_{\text{cell}} = 0.34\, \text{V} - (-0.76\, \text{V}) \]
\[ E^\circ_{\text{cell}} = 1.10\, \text{V} \]
Next, calculate the reaction quotient \( Q \):
\[ Q = \frac{ \left[ \text{Zn}^{2+} \right] }{ \left[ \text](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F239db1bd-bca7-46b2-879b-9072f95b41a3%2F8b86af6d-a603-4544-b743-987f659a882d%2Frvkbckx_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Electrochemical Cell Potential Calculation
**Problem Statement:**
Enter your answer in the provided box.
What is the potential of a cell made up of Zn / Zn²⁺ and Cu / Cu²⁺ half-cells at 25°C if
\[ \left[ \text{Zn}^{2+} \right] = 0.11 \, \text{M} \]
and
\[ \left[ \text{Cu}^{2+} \right] = 0.81 \, \text{M} ? \]
**Answer Box:**
\[ \boxed{} \text{ V} \]
**Explanation:**
To find the potential of the electrochemical cell, use the Nernst Equation:
\[ E_{\text{cell}} = E^\circ_{\text{cell}} - \frac{0.0592}{n} \log Q \]
Where:
- \( E^\circ_{\text{cell}} \) is the standard cell potential
- \( n \) is the number of moles of electrons transferred
- \( Q \) is the reaction quotient
For the Zn/Cu cell, the redox reactions and their standard potentials (at 25°C) are:
\[ \text{Zn} \rightarrow \text{Zn}^{2+} + 2e^- \quad (E^\circ_{\text{Zn/Zn}^{2+}} = -0.76\, \text{V}) \]
\[ \text{Cu}^{2+} + 2e^- \rightarrow \text{Cu} \quad (E^\circ_{\text{Cu}^{2+}/\text{Cu}} = +0.34 \, \text{V}) \]
So, the overall standard cell potential is:
\[ E^\circ_{\text{cell}} = E^\circ_{\text{Cu}^{2+}/\text{Cu}} - E^\circ_{\text{Zn}/\text{Zn}^{2+}} \]
\[ E^\circ_{\text{cell}} = 0.34\, \text{V} - (-0.76\, \text{V}) \]
\[ E^\circ_{\text{cell}} = 1.10\, \text{V} \]
Next, calculate the reaction quotient \( Q \):
\[ Q = \frac{ \left[ \text{Zn}^{2+} \right] }{ \left[ \text
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Knowledge Booster
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.Recommended textbooks for you
![Chemistry](https://www.bartleby.com/isbn_cover_images/9781305957404/9781305957404_smallCoverImage.gif)
Chemistry
Chemistry
ISBN:
9781305957404
Author:
Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:
Cengage Learning
![Chemistry](https://www.bartleby.com/isbn_cover_images/9781259911156/9781259911156_smallCoverImage.gif)
Chemistry
Chemistry
ISBN:
9781259911156
Author:
Raymond Chang Dr., Jason Overby Professor
Publisher:
McGraw-Hill Education
![Principles of Instrumental Analysis](https://www.bartleby.com/isbn_cover_images/9781305577213/9781305577213_smallCoverImage.gif)
Principles of Instrumental Analysis
Chemistry
ISBN:
9781305577213
Author:
Douglas A. Skoog, F. James Holler, Stanley R. Crouch
Publisher:
Cengage Learning
![Chemistry](https://www.bartleby.com/isbn_cover_images/9781305957404/9781305957404_smallCoverImage.gif)
Chemistry
Chemistry
ISBN:
9781305957404
Author:
Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:
Cengage Learning
![Chemistry](https://www.bartleby.com/isbn_cover_images/9781259911156/9781259911156_smallCoverImage.gif)
Chemistry
Chemistry
ISBN:
9781259911156
Author:
Raymond Chang Dr., Jason Overby Professor
Publisher:
McGraw-Hill Education
![Principles of Instrumental Analysis](https://www.bartleby.com/isbn_cover_images/9781305577213/9781305577213_smallCoverImage.gif)
Principles of Instrumental Analysis
Chemistry
ISBN:
9781305577213
Author:
Douglas A. Skoog, F. James Holler, Stanley R. Crouch
Publisher:
Cengage Learning
![Organic Chemistry](https://www.bartleby.com/isbn_cover_images/9780078021558/9780078021558_smallCoverImage.gif)
Organic Chemistry
Chemistry
ISBN:
9780078021558
Author:
Janice Gorzynski Smith Dr.
Publisher:
McGraw-Hill Education
![Chemistry: Principles and Reactions](https://www.bartleby.com/isbn_cover_images/9781305079373/9781305079373_smallCoverImage.gif)
Chemistry: Principles and Reactions
Chemistry
ISBN:
9781305079373
Author:
William L. Masterton, Cecile N. Hurley
Publisher:
Cengage Learning
![Elementary Principles of Chemical Processes, Bind…](https://www.bartleby.com/isbn_cover_images/9781118431221/9781118431221_smallCoverImage.gif)
Elementary Principles of Chemical Processes, Bind…
Chemistry
ISBN:
9781118431221
Author:
Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard
Publisher:
WILEY