# Introduction to the Nernst Equation### Learning Goal:To understand and apply 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, use 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.- \( R = 8.314 \, \text{J/(K} \cdot \text{mol)} \) is the gas constant.- \( T \) is the temperature in kelvins.- \( n \) is the number of moles of electrons transferred.- \( F = 96,500 \, \text{C/mol e} \) is the Faraday constant.- \( Q \) is the reaction quotient.At the common reference temperature of 298 K, substituting each constant into the equation the result is:\[ E = E^\circ - \frac{0.0592 \, \text{V}}{n} \log_{10} Q \]### Consider the Reaction:\[ \text{Mg(s)} + \text{Fe}^{2+} (\text{aq}) \rightarrow \text{Mg}^{2+} (\text{aq}) + \text{Fe(s}) \]At 49°C, where \([\text{Fe}^{2+}]\) = 3.80 M and \([\text{Mg}^{2+}]\) = 0.210 M.### Part A:**What is the value for the reaction quotient, \( Q \), for the cell?***Express your answer numerically.*\[ Q = \]### Part B:**What is the value for the temperature, \( T \), in kelvins?***Express your answer to three significant figures and include the appropriate units.*\[ T = \text{Value} \, \text{Units} \] **Part C****Question:**What is the value for \( n \)?Express your answer as an integer and include the appropriate units (i.e., enter mol for moles).**Input Box:**- n = [Value] [Units]**Button:**- Submit[Link: View Available Hint(s)]---**Part D****Question:**Calculate the standard cell potential at 25°C for the reaction:\[ \text{Mg}(s) + \text{Fe}^{2+}(aq) \rightarrow \text{Mg}^{2+}(aq) + \text{Fe}(s) \]Express your answer to three significant figures and include the appropriate units.**Input Box:**- \( E^o = \) [Value] [Units]**Button:**- Submit[Link: View Available Hint(s)]

Answered: Image /qna-images/answer/85a7f422-a13d-4b3c-b509-91b1bcfd1f55.jpg

quation. s listed in any reference table are only valid at ure of 25 °C and standard conditions of 1 M s. To calculate the cell potential at nonstandard aquation, -2.303 RT log10 Q E is the standard potential at 25°C in volts. gas constant, Tis the temperature in kelvins. rons transferred, F96, 500 C/(mole) s the reaction quotient. ture of 298 K. substituting each constant into 0.0092 Vlog 10 Consider the reaction at 40 °C, where [Fe² | 3.80 M and [Mg2+1=0.210 M. Part A What is the value for the reaction quotient, Q. for the cell? Express your answer numerically. View Available Hint(s) Q= Submit Part B ΑΠΟ ΑΣΦ 4 A C T= What is the value for the temperature. T. in kelvins? Express your answer to three significant figures and include the appropriate units. View Available Hint(s) HA Value Mg(s) + Fe²+ (aq) → Mg²+ (aq) + Fe(s) Units

quation. s listed in any reference table are only valid at ure of 25 °C and standard conditions of 1 M s. To calculate the cell potential at nonstandard aquation, -2.303 RT log10 Q E is the standard potential at 25°C in volts. gas constant, Tis the temperature in kelvins. rons transferred, F96, 500 C/(mole) s the reaction quotient. ture of 298 K. substituting each constant into 0.0092 Vlog 10 Consider the reaction at 40 °C, where [Fe² | 3.80 M and [Mg2+1=0.210 M. Part A What is the value for the reaction quotient, Q. for the cell? Express your answer numerically. View Available Hint(s) Q= Submit Part B ΑΠΟ ΑΣΦ 4 A C T= What is the value for the temperature. T. in kelvins? Express your answer to three significant figures and include the appropriate units. View Available Hint(s) HA Value Mg(s) + Fe²+ (aq) → Mg²+ (aq) + Fe(s) Units

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...

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