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(a) What is the maximum electrical work obtainable from the reaction | 0,(g) + H,(g) = H,O(1) %3D under standard conditions (25°C and 1 atm pressure and specified amounts of reactants)? (b) What is the heat transferred if this maximum work is obtained? The standard free energy change for the reaction, AG°, is -237.18 kJ mol-'. The standard enthalpy change, AH°, is -285.85 kJ mol.

(a) What is the maximum electrical work obtainable from the reaction | 0,(g) + H,(g) = H,O(1) %3D under standard conditions (25°C and 1 atm pressure and specified amounts of reactants)? (b) What is the heat transferred if this maximum work is obtained? The standard free energy change for the reaction, AG°, is -237.18 kJ mol-'. The standard enthalpy change, AH°, is -285.85 kJ mol.

Principles of Modern Chemistry
Principles of Modern Chemistry
8th Edition
ISBN:9781305079113
Author:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler
Publisher:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler
Chapter12: Thermodynamic Processes And Thermochemistry
Section: Chapter Questions
Problem 44P
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Example 2.2 (a) What is the maximum electrical work obtainable from the reaction | 02(g) + H,(g) H2O(1) %3D under standard conditions (25°C and 1 atm pressure and specified amounts of reactants)? (b) What is the heat transferred if this maximum work is obtained? The standard free energy change for the reaction, AG°, is -237.18 kJ mol. The standard enthalpy change, AH°, is -285.85 kJ mol. (a) According to equation 30, the maximum electrical work available under reversible conditions (i.e., when T A,S = 0) is w' = -. kJ mol'. (Two electrons are transferred per mole of the reaction. There- fore the standard potential difference for the electrochemical reaction is: -(-237,180) J/2 x 96,485 J/V = AG° = 237.18 1.23 V.) - 285.85 + 237.18 (b) The heat transferred is -48.67 kJ mol-1. The system releases heat to the surroundings, but much less than under irreversible conditions for this reaction. AH° + w' = (Note that here the system is the electrochemical reaction plus the external electric circuit required to reversibly extract the free energy released.)
Transcribed Image Text:Example 2.2 (a) What is the maximum electrical work obtainable from the reaction | 02(g) + H,(g) H2O(1) %3D under standard conditions (25°C and 1 atm pressure and specified amounts of reactants)? (b) What is the heat transferred if this maximum work is obtained? The standard free energy change for the reaction, AG°, is -237.18 kJ mol. The standard enthalpy change, AH°, is -285.85 kJ mol. (a) According to equation 30, the maximum electrical work available under reversible conditions (i.e., when T A,S = 0) is w' = -. kJ mol'. (Two electrons are transferred per mole of the reaction. There- fore the standard potential difference for the electrochemical reaction is: -(-237,180) J/2 x 96,485 J/V = AG° = 237.18 1.23 V.) - 285.85 + 237.18 (b) The heat transferred is -48.67 kJ mol-1. The system releases heat to the surroundings, but much less than under irreversible conditions for this reaction. AH° + w' = (Note that here the system is the electrochemical reaction plus the external electric circuit required to reversibly extract the free energy released.)
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