Concept explainers
(a)
The logarithm equilibrium constant for the reaction at 1440 R.
Compare the results for the values of
(a)
Answer to Problem 15P
The logarithm equilibrium constant for the reaction at 1440 R is
The equilibrium constant obtained from the equilibrium constants of Table A-28 at 1440Ris
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
Write the equation to calculate the equilibrium constant for the chemical equilibrium of ideal-gas mixtures.
Conclusion:
From the equilibrium reaction, the values of
Refer Table A-26, obtain the values of
Refer Table A-22, obtain the value of
Refer Table A-22, obtain the value of
Refer Table A-19E, obtain the value of
Refer Table A-19E, obtain the value of
Refer Table A-23, obtain the value of
Refer Table A-23, obtain the value of
Substitute 1 for
Substitute
Substitute
Thus, the equilibrium constant obtained from the equilibrium reaction at 1440R is
Convert the temperature from Rankine to Kelvin.
Refer Table A-28, “Natural logarithms of the equilibrium constant” obtain the equilibrium constant for the reaction by interpolating for the temperature of 800 K as
Substitute
Thus, the equilibrium constant obtained from the table A-28 at 1440 R is
Refer Table A-28 “Natural logarithms of the equilibrium constant”, obtain the equilibrium constant for the dissociation reaction
The value obtained for equilibrium constant at 1440R from the definition of the equilibrium constant is
(b)
The logarithm equilibrium constant for the reaction at 3960 R.
Compare the results for the values of
(b)
Answer to Problem 15P
The logarithm equilibrium constant for the reaction at 3960 R is
The equilibrium constant obtained from the equilibrium constants of Table A-28 at 3960 R 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
Write the equation to calculate the equilibrium constant for the chemical equilibrium of ideal-gas mixtures.
Conclusion:
From the equilibrium reaction, the values of
Refer to Table A-26; obtain the values of
Refer to Table A-22, obtain the value of
Refer to Table A-22, obtain the value of
Refer to Table A-19E, obtain the value of
Refer to Table A-19E, obtain the value of
Refer to Table A-23, obtain the value of
Refer to Table A-23, obtain the value of
Substitute 1 for
Substitute
Substitute
Thus, the equilibrium constant obtained from the equilibrium reaction at 3960 R is
Convert the temperature from Rankine to Kelvin.
Refer Table A-28, “Natural logarithms of the equilibrium constant” obtain the equilibrium constant for the reaction by interpolating for the temperature of 2200 K as
Substitute
Thus, the equilibrium constant obtained from the table A-28 at3960 R is
The value obtained for equilibrium constant at 3960R from the definition of the equilibrium constant is
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Chapter 16 Solutions
Thermodynamics: An Engineering Approach
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