6. Calculate Ecell (in V to two decimal places) for an electrochemical cell based on the followir half-reactions at equilibrium. In addition, determine AG (in kJ mol¹ to two decimal place for the reaction under standard conditions (i.e. all concentrations are 1.0 M) and predict t magnitude of K. The standard reduction potential for the reduction reaction is 1.68 V. Oxidation: Cu(s) → Cu²+ (aq, 0.010 M) + 2e¯ Reduction: MnO4 (aq, 2.0 M)+ 4H+ (aq, 1.0 M) + 3e →MnO₂ (s) + 2H₂O(1) A: 1.41; -775.74, very larg

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
### Calculation of Ecell for an Electrochemical Cell

**Problem Statement:**
1. **Calculate Ecell (in V to two decimal places)** for an electrochemical cell based on the following half-reactions at equilibrium. 
2. **Determine ΔG° (in kJ/mol to two decimal places).** 
3. **Predict the magnitude of the equilibrium constant, K.**

**Conditions:**
- All concentrations are 1.0 M.
- The standard reduction potential for the reduction reaction is 1.68 V.

**Half-Reactions:**
- **Oxidation:** \( \text{Cu(s)} \rightarrow \text{Cu}^{2+}(\text{aq, 0.010 M}) + 2e^- \)
- **Reduction:** \( \text{MnO}_4^-(\text{aq, 2.0 M}) + 8\text{H}^+(\text{aq, 1.0 M}) + 3e^- \rightarrow \text{MnO}_2(\text{s}) + 2\text{H}_2\text{O(l)} \)

**Given Solution:**
- \( E_{\text{cell}} = 1.41 \, \text{V} \)
- \( \Delta G^\circ = -775.74 \, \text{kJ/mol} \)
- \( K \) is very large.

These calculations are fundamental for understanding the thermodynamics of electrochemical cells and predicting the direction and spontaneity of the reactions involved.
Transcribed Image Text:### Calculation of Ecell for an Electrochemical Cell **Problem Statement:** 1. **Calculate Ecell (in V to two decimal places)** for an electrochemical cell based on the following half-reactions at equilibrium. 2. **Determine ΔG° (in kJ/mol to two decimal places).** 3. **Predict the magnitude of the equilibrium constant, K.** **Conditions:** - All concentrations are 1.0 M. - The standard reduction potential for the reduction reaction is 1.68 V. **Half-Reactions:** - **Oxidation:** \( \text{Cu(s)} \rightarrow \text{Cu}^{2+}(\text{aq, 0.010 M}) + 2e^- \) - **Reduction:** \( \text{MnO}_4^-(\text{aq, 2.0 M}) + 8\text{H}^+(\text{aq, 1.0 M}) + 3e^- \rightarrow \text{MnO}_2(\text{s}) + 2\text{H}_2\text{O(l)} \) **Given Solution:** - \( E_{\text{cell}} = 1.41 \, \text{V} \) - \( \Delta G^\circ = -775.74 \, \text{kJ/mol} \) - \( K \) is very large. These calculations are fundamental for understanding the thermodynamics of electrochemical cells and predicting the direction and spontaneity of the reactions involved.
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
Electrochemical Cells
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
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