### Redox Reaction in a Voltaic Cell**Problem Statement:**Consider the following redox reaction that occurs in a voltaic cell:\[ \text{Cr}^{2+} (\text{aq}) + \text{Cu}^{2+} (\text{aq}) \rightarrow \text{Cr}^{3+} (\text{aq}) + \text{Cu}^{+} (\text{aq}) \]If the cell is operating at 25°C, what is the value of the equilibrium constant (K_eq)?**Options:**(A) \( 1.41 \times 10^{11} \)(B) \( 1.19 \times 10^{18} \)(C) \( 5.53 \times 10^{5} \)(D) \( 2.79 \times 10^{33} \)(E) \( 1.81 \times 10^{6} \)---**Explanation:**To determine the equilibrium constant (\(K_{eq}\)) for the given redox reaction at 25°C, it's essential to understand the relationship between the cell potential and the equilibrium constant. At standard conditions (25°C or 298 K):\[ \Delta G^\circ = -RT \ln K_{eq} \]For a voltaic cell:\[ \Delta G^\circ = -nFE^\circ_{cell} \]Where:- \( \Delta G^\circ \) is the standard Gibbs free energy change.- \( R \) is the universal gas constant (8.314 J/mol·K).- \( T \) is the temperature in Kelvin (25°C = 298 K).- \( n \) is the number of moles of electrons transferred in the balanced redox equation.- \( F \) is the Faraday constant (96485 C/mol).- \( E^\circ_{cell} \) is the standard cell potential.By equating the equations for \( \Delta G^\circ \):\[ -nFE^\circ_{cell} = -RT \ln K_{eq} \]Simplifying and solving for \( K_{eq} \):\[ \ln K_{eq} = \frac{nFE^\circ_{cell}}{RT} \]\[ K_{eq} = e^{\left( \frac{nFE^\circ_{cell}}{RT} \right)} \]Given these relationships, you

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(19) Consider the following redox reaction that occurs in a voltaic cell: Cr2+ (aq) + Cu²+ (aq) → Cr³+ (aq) + Cut (aq) If the cell is operating at 25°C, what is the value of the equilibrium constant (Keq)? (A) 1.41 x 10¹1 1.19 x 1018 5.53 x 105 2.79 x 1033 1.81 x 10-6 (B) (C) (D) (E)

(19) Consider the following redox reaction that occurs in a voltaic cell: Cr2+ (aq) + Cu²+ (aq) → Cr³+ (aq) + Cut (aq) If the cell is operating at 25°C, what is the value of the equilibrium constant (Keq)? (A) 1.41 x 10¹1 1.19 x 1018 5.53 x 105 2.79 x 1033 1.81 x 10-6 (B) (C) (D) (E)

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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