
(a)
The equilibrium constant for the reported reaction at 1000 K.
(a)

Answer to Problem 15P
The equilibrium constant for the reported reaction at 1000 K 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
Write the Gibbs function of
Here, enthalpy of formation of
Write the Gibbs function of
Here, enthalpy of formation of
Write the Gibbs function of water
Here, enthalpy of formation of water vapor is
Conclusion:
Refer table A-26, “Enthalpy formation table”, obtain the enthalpy of
Refer table A-22, “Ideal gas properties of Hydrogen”, obtain the following properties of hydrogen gas.
Enthalpy of hydrogen gas at 1000 K,
Enthalpy of hydrogen gas at 298 K,
Entropy of hydrogen gas at 1000 K,
Substitute
Refer table A-26, “Enthalpy formation table”, obtain the enthalpy of
Refer table A-19, “Ideal gas properties of Oxygen”, obtain the following properties of Oxygen gas.
Enthalpy of oxygen gas at 1000 K,
Enthalpy of oxygen gas at 298 K,
Entropy of oxygen gas at 1000 K,
Substitute
Refer table A-26, “Enthalpy formation table”, obtain the enthalpy formation of water vapor
Refer table A-23, “Ideal gas properties of water vapor”, obtain the following properties of water vapor.
Enthalpy of water vapor at 1000 K,
Enthalpy of water vapor at 298 K,
Entropy of water vapor at 1000 K,
Substitute
Substitute 1 for
Substitute
Thus, the equilibrium constant for the reported reaction at 1000 K is
Refer table A-28, “Natural logarithm of equilibrium constants”, obtain the value of
(b)
The equilibrium constant for the reported reaction at 2000 K.
(b)

Answer to Problem 15P
The equilibrium constant for the reported reaction at 2000 K is
Explanation of Solution
Write the Gibbs function of
Here, enthalpy of
Write the Gibbs function of
Here, enthalpy of
Write the Gibbs function of water
Here, enthalpy of water vapor at 2000 K is
Conclusion:
Refer table A-26, “Enthalpy formation table”, obtain the enthalpy of
Refer table A-22, “Ideal gas properties of Hydrogen”, obtain the following properties of hydrogen gas.
Enthalpy of hydrogen gas at 2000 K,
Entropy of hydrogen gas at 2000 K,
Substitute
Refer table A-26,“Enthalpy formation table”, obtain the enthalpy of
Refer table A-19, “Ideal gas properties of Oxygen”, obtain the following properties of Oxygen gas.
Enthalpy of oxygen gas at 2000 K,
Entropy of oxygen gas at 2000 K,
Substitute
Refer table A-26,“Enthalpy formation table”, obtain the enthalpy formation of water vapor
Refer table A-23, “Ideal gas properties of water vapor”, obtain the following properties of water vapor.
Enthalpy of water vapor at 2000 K,
Entropy of water vapor at 2000 K,
Substitute
Substitute 1 for
Substitute
Thus, the equilibrium constant for the reported reaction at 2000 K 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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