Textbook Question
Calculate E°cell for each balanced redox reaction and determine if the reaction is spontaneous as written. c. PbO2(s) + 4 H+(aq) + Sn(s) → Pb2+(aq) + 2 H2O(l) + Sn2+(aq)
Ch.20 - Electrochemistry
Chapter 20, Problem 66
Use tabulated electrode potentials to calculate ∆G°rxn for each reaction at 25 °C. a. 2 Fe3+(aq) + 3 Sn(s) → 2 Fe(s) + 3 Sn2+(aq) b. O2(g) + 2 H2O(l) + 2 Cu(s) → 4 OH–(aq) + 2 Cu2+(aq) c. Br2(l) + 2 I–(aq) → 2 Br–(aq) + I2(s)
Verified step by step guidance1
Identify the half-reactions involved in the redox process. For the given reaction, the half-reactions are: \( \text{Br}_2(l) + 2e^- \rightarrow 2\text{Br}^-(aq) \) and \( 2\text{I}^-(aq) \rightarrow \text{I}_2(s) + 2e^- \).
Look up the standard electrode potentials (E°) for each half-reaction from a table of standard reduction potentials. Note that the potential for the oxidation half-reaction (\( 2\text{I}^-(aq) \rightarrow \text{I}_2(s) + 2e^- \)) will be the negative of the reduction potential.
Calculate the standard cell potential (E°cell) for the reaction by subtracting the anode potential (oxidation) from the cathode potential (reduction): \( E^\circ_{\text{cell}} = E^\circ_{\text{cathode}} - E^\circ_{\text{anode}} \).
Use the Nernst equation to relate the standard cell potential to the standard Gibbs free energy change: \( \Delta G^\circ_{\text{rxn}} = -nFE^\circ_{\text{cell}} \), where \( n \) is the number of moles of electrons transferred (2 in this case) and \( F \) is the Faraday constant (approximately 96485 C/mol).
Substitute the values for \( n \), \( F \), and \( E^\circ_{\text{cell}} \) into the equation to calculate \( \Delta G^\circ_{\text{rxn}} \).
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Electrode Potentials
Electrode potentials, measured in volts, indicate the tendency of a chemical species to be reduced. Standard electrode potentials (E°) are measured under standard conditions (1 M concentration, 1 atm pressure, and 25 °C). These values are crucial for predicting the direction of redox reactions and calculating the Gibbs free energy change (∆G°rxn) for reactions.
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Standard Cell Potential
Gibbs Free Energy (∆G°rxn)
Gibbs free energy change (∆G°rxn) is a thermodynamic quantity that indicates the spontaneity of a reaction at standard conditions. It can be calculated using the equation ∆G°rxn = -nFE°cell, where n is the number of moles of electrons transferred, F is Faraday's constant, and E°cell is the cell potential derived from the electrode potentials of the half-reactions.
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Half-Reaction Method
The half-reaction method involves breaking down a redox reaction into its oxidation and reduction half-reactions. Each half-reaction can be assigned a standard electrode potential, which allows for the calculation of the overall cell potential (E°cell). This method is essential for determining the Gibbs free energy change and understanding the electron transfer processes in the reaction.
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Related Practice
Textbook Question
Which metal cation is the best oxidizing agent? a. Pb2+ b. Cr3+ c. Fe2+ d. Sn2+
Textbook Question
Use tabulated electrode potentials to calculate ∆G°rxn for each reaction at 25 °C. b. Br2(l) + 2 Cl–(aq) → 2 Br–(aq) + Cl2(g) c. MnO2(s) + 4 H+(aq) + Cu(s) → Mn2+(aq) + 2 H2O(l) + Cu2+(aq)
Textbook Question
Calculate the equilibrium constant for each of the reactions in Problem 65.
Textbook Question
Calculate the equilibrium constant for the reaction between Fe2+(aq) and Zn(s) (at 25 °C).