Explanation Write the stoichiometric reaction for the reported process. H 2 O ⇌ 1 / 2 H 2 + O H (I) Write the Gibbs function ( Δ G ∗ ( T ) ) . Δ G ∗ ( T ) = v H 2 g ¯ H 2 ∗ ( T ) + v O H g ¯ O H ∗ ( T ) − v H 2 O g ¯ H 2 O ∗ ( T ) (II) Here, stoichiometric coefficient for H 2 O is v H 2 O , Gibbs function of hydrogen is g ¯ H 2 ∗ , Gibbs function of hydroxyl is g ¯ O H ∗ , and Gibbs function of H 2 O is g ¯ H 2 O ∗ . Write the expression for the equilibrium constant ( k p ) . k p = e − Δ G ( T ) / R u T ln k p = − Δ G ∗ ( T ) / R u T (III) Here, temperature is T , Gibbs function is Δ G ∗ ( T ) , and universal gas constant is R u . Conclusion: From Equation (I), infer that the stoichiometric coefficient for hydrogen ( v H 2 ) is 0.5, and for hydroxyl ( v O H ) is 1. From the table Gibbs energy of formation A-26, select the Gibbs function of hydrogen ( g ¯ H 2 ∗ ) as 0. From the table Gibbs energy of formation A-26, select the Gibbs function of hydroxyl ( g ¯ O H ∗ ) as 34 , 280 kJ / mol . From the table Gibbs energy of formation A-26, select the Gibbs function of water ( g ¯ H 2 O ∗ ) as − 228 , 590 kJ / mol . Substitute 0

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ISBN: 9780073398174

Author: Yunus A. Cengel Dr., Michael A. Boles

Publisher: McGraw-Hill Education

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Chapter 16.6, Problem 14P

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Compare the Gibbs function data and equilibrium constants.

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Thermodynamics: An Engineering Approach

Ch. 16.6 - Write three different KPrelations for reacting...Ch. 16.6 - A reaction chamber contains a mixture of CO2, CO,...Ch. 16.6 - A reaction chamber contains a mixture of N2and N...Ch. 16.6 - A reaction chamber contains a mixture of CO2, CO,...Ch. 16.6 - Which element is more likely to dissociate into...Ch. 16.6 - Prob. 6P Ch. 16.6 - Prob. 7P Ch. 16.6 - Prob. 8P Ch. 16.6 - Prob. 9P Ch. 16.6 - Prob. 10P

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