Estimate KP for the following equilibrium reaction at 2500 K:
At 2000 K it is known that the enthalpy of reaction is –26,176 kJ/kmol and KP is 0.2209. Compare your result with the value obtained from the definition of the equilibrium constant.
Calculate
Compare the results for the values of
Answer to Problem 32P
The equilibrium constant obtained from the equilibrium reaction at 2500 K is
Explanation of Solution
Express the standard-state Gibbs function change.
Here, the Gibbs function of components
Write the equation to calculate the equilibrium constant for the chemical equilibrium of ideal-gas mixtures.
Here, universal gas constant is
Write the equation of van’t Hoff to estimate the equilibrium constant.
Here, temperature of reaction is
Conclusion:
From the equilibrium reaction, the values of
Refer to Table A-26, obtain the values of
Refer to Table A-23, obtain the value of
Refer to Table A-23, obtain the value of
Refer to Table A-21, obtain the value of
Refer to Table A-21, obtain the value of
Refer to Table A-22, obtain the value of
Refer to Table A-22, obtain the value of
Refer to Table A-20, obtain the value of
Refer to Table A-20, obtain the value of
Substitute 1 for
Substitute
Thus, the equilibrium constant obtained from the equilibrium reaction at 2500 K is
Substitute
The value obtained for equilibrium constant at 2000 K from the definition of the equilibrium constant is 0.1612 which is smaller than the value obtained for equilibrium constant at 2500 K from the equilibrium reaction.
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Chapter 16 Solutions
Thermodynamics: An Engineering Approach
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