For the electrochemical cell Al(s) + 3 Mn²+ (aq) → 2 Al³+ (aq) + 3 Mn(s) (E° = 0.48 V, [A1³*] = 1.0 M), what is the value of E when [Mn²+] = 0.078 M? Assume T is 298 K
For the electrochemical cell Al(s) + 3 Mn²+ (aq) → 2 Al³+ (aq) + 3 Mn(s) (E° = 0.48 V, [A1³*] = 1.0 M), what is the value of E when [Mn²+] = 0.078 M? Assume T is 298 K
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
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![**Electrochemical Cell Calculation**
**Question 9 of 9**
**Scenario:**
For the electrochemical cell:
\[ 2 \text{Al(s)} + 3 \text{Mn}^{2+}\text{(aq)} \rightarrow 2 \text{Al}^{3+}\text{(aq)} + 3 \text{Mn(s)} \]
- Standard Cell Potential (\(E^\circ\)) = 0.48 V
- Concentration of \([\text{Al}^{3+}]\) = 1.0 M
**Problem:**
Determine the value of the cell potential (\(E\)) when the concentration of \([\text{Mn}^{2+}]\) is 0.078 M. Assume the temperature (\(T\)) is 298 K.
---
**Notes:**
- Inputs such as the standard cell potential and concentrations are vital for calculating the actual cell potential using the Nernst equation.
- The Nernst equation will account for non-standard conditions, incorporating temperature and ion concentrations to provide the cell potential (\(E\)) under specified conditions.
**Interactive Element:**
- A numeric keypad interface is provided to input answers, with buttons for numbers, decimal points, positive/negative signs, and exponential notation (x10).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbae483e7-f3a4-4a9a-ba35-bb8b04de3604%2F3012d194-0ac5-4342-a967-023aa2638c90%2Fpm7qu7w_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Electrochemical Cell Calculation**
**Question 9 of 9**
**Scenario:**
For the electrochemical cell:
\[ 2 \text{Al(s)} + 3 \text{Mn}^{2+}\text{(aq)} \rightarrow 2 \text{Al}^{3+}\text{(aq)} + 3 \text{Mn(s)} \]
- Standard Cell Potential (\(E^\circ\)) = 0.48 V
- Concentration of \([\text{Al}^{3+}]\) = 1.0 M
**Problem:**
Determine the value of the cell potential (\(E\)) when the concentration of \([\text{Mn}^{2+}]\) is 0.078 M. Assume the temperature (\(T\)) is 298 K.
---
**Notes:**
- Inputs such as the standard cell potential and concentrations are vital for calculating the actual cell potential using the Nernst equation.
- The Nernst equation will account for non-standard conditions, incorporating temperature and ion concentrations to provide the cell potential (\(E\)) under specified conditions.
**Interactive Element:**
- A numeric keypad interface is provided to input answers, with buttons for numbers, decimal points, positive/negative signs, and exponential notation (x10).
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