
( a)
The equilibrium constant for the reported reaction at 537 R.
( a)

Answer to Problem 20P
The equilibrium constant for the reported reaction at 537 R is
Explanation of Solution
Write the stoichiometric reaction for the reported process.
From the stoichiometric reaction, infer that the stoichiometric coefficients for hydrogen
Write the formula for equilibrium constant
Here, temperature is T, Gibbs function is
Write the formula for Gibbs energy
Here, Gibbs function of hydrogen is
Conclusion:
Refer Table A-26, “Enthalpy formation table”, obtain the enthalpy of
Refer Table A-26, “Enthalpy formation table”, obtain the enthalpy of
Refer Table A-26, “Enthalpy formation table”, obtain the enthalpy formation of water vapor
Substitute 1 for
Substitute
Thus, the equilibrium constant for the reported reaction at 537 R is
Refer table A-28, “Natural logarithm of equilibrium constants”, obtain the value of
(b)
The equilibrium constant for the reported reaction at 3240 R.
(b)

Answer to Problem 20P
The equilibrium constant for the reported reaction at 3240 R is
Explanation of Solution
Write the Gibbs function of water
Here, enthalpy of water at 537 R is
Write the Gibbs function of
Here, enthalpy of
Write the Gibbs function of
Here, enthalpy of
Conclusion:
Refer table A-26E, “Enthalpy formation table”,obtain the enthalpy formation of water vapor
Refer table A-23E, “Ideal gas properties of water vapor”, obtain the following properties of water vapor.
Enthalpy of water vapor at 4,320 R as
Enthalpyof water vapor at 537 R as
Entropy of water vapor at 3,240 R as
Substitute
Refer table A-26E, “Enthalpy formation table”, obtain the enthalpy of
Refer table A-22E, “Ideal gas properties of Hydrogen”, obtain the following properties of hydrogen gas.
Enthalpy of hydrogen gas at 4320 R as
Enthalpy of hydrogen gas at 298 R as
Entropy of hydrogen gas at 3,240 R as
Substitute
Refer table A-26E, “Enthalpy formation table”, obtain the enthalpy of
Refer table A-19E, “Ideal gas properties of Oxygen”, obtain the following properties of Oxygen gas.
Enthalpy of Oxygengas at 4,320 R as
Enthalpy of Oxygen gas at 298 R as
Entropy of Oxygen gas at 3240 R as
Substitute
Substitute 1 for
Substitute
Thus, the equilibrium constant for the reported reaction at 3,240 R is
Refer table A-28, “Natural logarithm of equilibrium constants”, obtain the value of
Thus, both Gibbs function data and equilibrium constants table provide the same data.
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Chapter 16 Solutions
Thermodynamics: An Engineering Approach
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