Part E What is the cell potential for the reaction at 57 °C when [Fe2+] = 2.90 Mand [Mg2+] = 0.210 M. Express your answer to three significant figures and include the appropriate units. ►View Available Hint(s) E = μA Value Units Mg(s)+Fe2+ (aq)→Mg2+ (aq) + Fe(s) ?

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
100%
Thank you!
**Introduction to the Nernst Equation**

**Learning Goal:**
To learn how to use the Nernst equation.

The standard reduction potentials listed in any reference table are only valid at the common reference temperature of 25 °C and standard conditions of 1 M for solutions and 1 atm for gases. To calculate the cell potential at nonstandard conditions, one uses the Nernst equation:

\[ E = E^\circ - \frac{2.303 \, RT}{nF} \log_{10} Q \]

where \( E \) is the potential in volts, \( E^\circ \) is the standard potential at 25 °C in volts, \( R = 8.314 \, \text{J} / (\text{K} \cdot \text{mol}) \) is the gas constant, \( T \) is the temperature in kelvins, \( n \) is the number of moles of electrons transferred, \( F = 96{,}500 \, \text{C}/(\text{mol} \, e^-) \) is the Faraday constant, and \( Q \) is the reaction quotient.

At the common reference temperature of 298 K, substituting each constant into the equation the result is:

\[ E = E^\circ - \frac{0.0592 \, \text{V}}{n} \log_{10} Q \]
Transcribed Image Text:**Introduction to the Nernst Equation** **Learning Goal:** To learn how to use the Nernst equation. The standard reduction potentials listed in any reference table are only valid at the common reference temperature of 25 °C and standard conditions of 1 M for solutions and 1 atm for gases. To calculate the cell potential at nonstandard conditions, one uses the Nernst equation: \[ E = E^\circ - \frac{2.303 \, RT}{nF} \log_{10} Q \] where \( E \) is the potential in volts, \( E^\circ \) is the standard potential at 25 °C in volts, \( R = 8.314 \, \text{J} / (\text{K} \cdot \text{mol}) \) is the gas constant, \( T \) is the temperature in kelvins, \( n \) is the number of moles of electrons transferred, \( F = 96{,}500 \, \text{C}/(\text{mol} \, e^-) \) is the Faraday constant, and \( Q \) is the reaction quotient. At the common reference temperature of 298 K, substituting each constant into the equation the result is: \[ E = E^\circ - \frac{0.0592 \, \text{V}}{n} \log_{10} Q \]
**Part E**

**What is the cell potential for the reaction**

\[ \text{Mg(s) + Fe}^{2+}(\text{aq}) \rightarrow \text{Mg}^{2+}(\text{aq}) + \text{Fe(s)} \]

at \( 57 \, ^\circ \text{C} \) when \([ \text{Fe}^{2+} ] = 2.90 \, M\) and \([ \text{Mg}^{2+} ] = 0.210 \, M\).

*Express your answer to three significant figures and include the appropriate units.*

[View Available Hint(s)]

\[ E = \text{Value} \, \text{Units} \]

[Submit]
Transcribed Image Text:**Part E** **What is the cell potential for the reaction** \[ \text{Mg(s) + Fe}^{2+}(\text{aq}) \rightarrow \text{Mg}^{2+}(\text{aq}) + \text{Fe(s)} \] at \( 57 \, ^\circ \text{C} \) when \([ \text{Fe}^{2+} ] = 2.90 \, M\) and \([ \text{Mg}^{2+} ] = 0.210 \, M\). *Express your answer to three significant figures and include the appropriate units.* [View Available Hint(s)] \[ E = \text{Value} \, \text{Units} \] [Submit]
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Electroanalytical Techniques
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