Explanation Express the complete combustion reaction with theoretical air. [ ( 0.25 CH 4 + 0.30 H 2 + 0.45 NH 3 ) + a ( O 2 + 3.76 N 2 ) ] → ( b CO 2 + c H 2 O + d N 2 ) (I) Here, hydrogen is H 2 , oxygen is O 2 , nitrogen is N 2 , sulfur dioxide is SO 2 , carbon dioxide is CO 2 , water is H 2 O and number of moles of oxygen, carbon dioxide, sulfur dioxide, water and nitrogen is a , b , c and d respectively. Conclusion: Apply the conservation of mass principle to the carbon, hydrogen, oxygen, and nitrogen, respectively, results in four equations among the four unknowns: Perform carbon balance: b = 0.25 Perform hydrogen balance: 2 c = 4 ( 0.25 ) + 2 ( 0.30 ) + 3 ( 0.45 ) c = 1.475 Perform oxygen balance: 2 ( 0.25 ) + 1.475 = 2 a a = 0.9875 Perform nitrogen balance: 2 d = 0.45 + 2 ( 3.76 ) a d = 3.938 The balanced chemical equation for complete combustion of fuel with theoretical air in in Equation (I). [ ( 0.25 CH 4 + 0.30 H 2 + 0.45 NH 3 ) + 0.9875 ( O 2 + 3.76 N 2 ) ] → ( 0 .25CO 2 + 1.475 H 2 O + 3.938 N 2 ) (II) Express the complete combustion of fuel with 70 % excess air is: [ ( 0.25 CH 4 + 0.30 H 2 + 0.45 NH 3 ) + ( 1.70 ) 0.9875 ( O 2 + 3.76 N 2 ) ] → ( aCO 2 + b H 2 O + c O 2 + d N 2 ) (III) Apply the conservation of mass principle to the carbon, hydrogen, oxygen, and nitrogen, respectively, results in four equations among the four unknowns: Perform carbon balance: a = 0

Fundamentals of Engineering Thermodynamics

8th Edition

ISBN: 9781118412930

Author: Michael J. Moran, Howard N. Shapiro, Daisie D. Boettner, Margaret B. Bailey

Publisher: WILEY

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Chapter 13.8, Problem 12P

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The mole fraction for each product CO2, H2O, O2, and N2.

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Chapter 13.8, Problem 11P

Chapter 13.8, Problem 13P

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Chapter 13 Solutions

Fundamentals of Engineering Thermodynamics

Ch. 13.8 - Prob. 1E Ch. 13.8 - Prob. 2E Ch. 13.8 - Prob. 3E Ch. 13.8 - Prob. 4E Ch. 13.8 - Prob. 5E Ch. 13.8 - Prob. 6E Ch. 13.8 - Prob. 7E Ch. 13.8 - Prob. 8E Ch. 13.8 - Prob. 9E Ch. 13.8 - Prob. 10E

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The mole fraction for each product CO 2 , H 2 O , O 2 , a n d N 2 .

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The mole fraction for each product CO2, H2O, O2, and N2.

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Chapter 13 Solutions