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[15] At the boiling point the liquid and vapor states are in equilibrium. What is the boiling point of benzene if AHvap = 30.7 kJ/mol and ASvap = 87.0 J/mol-K? (Hint what is AG at equilibrium)

[15] At the boiling point the liquid and vapor states are in equilibrium. What is the boiling point of benzene if AHvap = 30.7 kJ/mol and ASvap = 87.0 J/mol-K? (Hint what is AG at equilibrium)

Chemistry
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
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**Thermodynamics and Chemical Equilibrium Concepts** **Problem 15:** At the boiling point, the liquid and vapor states are in equilibrium. What is the boiling point of benzene if \(\Delta H_{\text{vap}} = 30.7 \, \text{kJ/mol}\) and \(\Delta S_{\text{vap}} = 87.0 \, \text{J/mol} \cdot \text{K}\)? (Hint: What is \(\Delta G\) at equilibrium?) **Problem 16:** At \(700 \, \text{K}\), \(K_p = 6.7 \times 10^4\) for the reaction: \[ \text{2SO}_2(g) + \text{O}_2(g) \rightleftharpoons \text{2SO}_3(g) \] Determine at this temperature: a) \(\Delta G^\circ\) (in \(\text{kJ/mol}\)) b) \(\Delta G\) (in \(\text{kJ/mol}\)) for a mixture consisting of 0.250 atm of \(\text{SO}_2\), 0.150 atm of \(\text{O}_2\), and 0.0563 atm of \(\text{SO}_3\). **Analysis:** - Problem 15 involves calculating the boiling point of benzene using the relationship between enthalpy (\(\Delta H\)), entropy (\(\Delta S\)), and Gibbs free energy (\(\Delta G\)). - Problem 16 focuses on applying the concept of chemical equilibrium and free energy change for a reaction in terms of partial pressures and the equilibrium constant \(K_p\). **Note:** There are no graphs or diagrams present that require explanation.
Transcribed Image Text:**Thermodynamics and Chemical Equilibrium Concepts** **Problem 15:** At the boiling point, the liquid and vapor states are in equilibrium. What is the boiling point of benzene if \(\Delta H_{\text{vap}} = 30.7 \, \text{kJ/mol}\) and \(\Delta S_{\text{vap}} = 87.0 \, \text{J/mol} \cdot \text{K}\)? (Hint: What is \(\Delta G\) at equilibrium?) **Problem 16:** At \(700 \, \text{K}\), \(K_p = 6.7 \times 10^4\) for the reaction: \[ \text{2SO}_2(g) + \text{O}_2(g) \rightleftharpoons \text{2SO}_3(g) \] Determine at this temperature: a) \(\Delta G^\circ\) (in \(\text{kJ/mol}\)) b) \(\Delta G\) (in \(\text{kJ/mol}\)) for a mixture consisting of 0.250 atm of \(\text{SO}_2\), 0.150 atm of \(\text{O}_2\), and 0.0563 atm of \(\text{SO}_3\). **Analysis:** - Problem 15 involves calculating the boiling point of benzene using the relationship between enthalpy (\(\Delta H\)), entropy (\(\Delta S\)), and Gibbs free energy (\(\Delta G\)). - Problem 16 focuses on applying the concept of chemical equilibrium and free energy change for a reaction in terms of partial pressures and the equilibrium constant \(K_p\). **Note:** There are no graphs or diagrams present that require explanation.
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