
The higher heating value of the coal.
The lower heating value of the coal.

Answer to Problem 49P
The higher heating value of the coal is
The lower heating value of the coal is
Explanation of Solution
Write the expression to calculate the number of moles of constituent
Here, mass of the gas constituent is
Write the expression to calculate the total number of moles of gases
Here, number of moles of compound A is
Write the expression to calculate the mole fraction of a constituent
Write the expression to calculate the mass of the mixture of gases
Here, number of moles of the compound A in the product is
Write the expression to calculate the apparent molecular weight of the product gas
Here, mass of the product gas is
Write the expression to calculate the heat transfer
Here, enthalpy of combustion is
Write the expression to calculate the heating value of coal.
Conclusion:
From the Table A-1 of “Molar mass, gas constants, and critical-point properties”, select the molar masses of carbon, hydrogen, oxygen, Sulphur, and air as,
Consider for
Substitute
Substitute
Substitute
Substitute
Substitute
Substitute
Substitute
Substitute
Substitute
Substitute
Write the chemical reaction equation for complete combustion.
Balance for the Carbon from Combustion reaction Equation (VIII).
Balance for the Hydrogen from Combustion reaction Equation (VIII).
Balance for the Sulphur from Combustion reaction Equation (VIII).
Balance for the Oxygen from Combustion reaction Equation (VIII).
Substitute
Balance for the Nitrogen from Combustion reaction Equation (VIII).
Substitute
Rewrite the complete balanced chemical reaction for combustion as follows:
Substitute
Substitute
Substitute
From the Table A-26 of “Enthalpy of formation, Gibbs function of formation, and the absolute entropy at
Here, the enthalpy of formation of
Rewrite the Equation (VI) for the higher heating value.
Substitute
Substitute
Thus, the higher heating value of the coal is
Rewrite the Equation (VI) for the higher heating value.
Substitute
Substitute
Thus, the lower heating value of the coal is
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Chapter 15 Solutions
Thermodynamics: An Engineering Approach
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