
Concept explainers
(a)
The natural Logarithm equilibrium constant for the reaction at
Compare the results for the values of
(a)

Answer to Problem 23P
The natural Logarithm equilibrium constant for the reaction at
The natural equilibrium constant obtained from the equilibrium constants of Table A-28 at 2
Explanation of Solution
Express the standard-state Gibbs function change.
Here, the Gibbs function of components
Write the equation to calculate the natural logarithms of equilibrium constant for the chemical equilibrium of ideal-gas mixtures.
Here, universal gas constant is
Conclusion:
From the equilibrium reaction, the values of
Refer Table A-26, obtain the values of
Substitute 1 for
Substitute
Thus, the equilibrium constant obtained from the equilibrium reaction at 298 K is
From table A-28, “Natural logarithms of the equilibrium constant” obtain the equilibrium constant for the reaction at the temperature of 298 K as
The value obtained for equilibrium constant at 298 K from the definition of the equilibrium constant is
(b)
The natural logarithm equilibrium constant for the reaction at 2000 K.
Compare the results for the values of
(b)

Answer to Problem 23P
The natural logarithm equilibrium constant for the reaction at 2000 K is
The natural Logarithm equilibrium constant obtained from the equilibrium constants of Table A-28 at 2000K is
Explanation of Solution
Express the standard-state Gibbs function change.
Here, the Gibbs function of components
Write the equation to calculate the natural logarithms of equilibrium constant for the chemical equilibrium of ideal-gas mixtures.
Here, universal gas constant is
Conclusion:
From the equilibrium reaction, the values of
Refer Table A-26, obtain the values of
Refer Table A-20, obtain the value of
Refer Table A-20, obtain the value of
Refer Table A-21, obtain the value of
Refer Table A-21, obtain the value of
Refer Table A-19, obtain the value of
Refer to Table A-19, obtain the value of
Substitute 1 for
Substitute
Thus, the natural logarithm equilibrium constant obtained from the equilibrium reaction at 2000K is
Refer Table A-28, “Natural logarithms of the equilibrium constant” obtain the equilibrium constant for the reaction by interpolating for the temperature of 2000 K as
The value obtained for equilibrium constant at 2000K from the definition of the equilibrium constant is
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