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

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

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
Chemistry
ISBN:
9781305957404
Author:
Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:
Cengage Learning

Chemistry
Chemistry
ISBN:
9781259911156
Author:
Raymond Chang Dr., Jason Overby Professor
Publisher:
McGraw-Hill Education

Principles of Instrumental Analysis
Chemistry
ISBN:
9781305577213
Author:
Douglas A. Skoog, F. James Holler, Stanley R. Crouch
Publisher:
Cengage Learning

Chemistry
Chemistry
ISBN:
9781305957404
Author:
Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:
Cengage Learning

Chemistry
Chemistry
ISBN:
9781259911156
Author:
Raymond Chang Dr., Jason Overby Professor
Publisher:
McGraw-Hill Education

Principles of Instrumental Analysis
Chemistry
ISBN:
9781305577213
Author:
Douglas A. Skoog, F. James Holler, Stanley R. Crouch
Publisher:
Cengage Learning

Organic Chemistry
Chemistry
ISBN:
9780078021558
Author:
Janice Gorzynski Smith Dr.
Publisher:
McGraw-Hill Education

Chemistry: Principles and Reactions
Chemistry
ISBN:
9781305079373
Author:
William L. Masterton, Cecile N. Hurley
Publisher:
Cengage Learning

Elementary Principles of Chemical Processes, Bind…
Chemistry
ISBN:
9781118431221
Author:
Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard
Publisher:
WILEY