(a) Explanation Express the amount of SO 2 produced, in kg per kg of coal. m SO 2 = N SO 2 M SO 2 m C + m H 2 + m O 2 + m N 2 + m S + m Ash (I) Here, number of moles of sulfur dioxide is N SO 2 , molar mass of sulfur dioxide is M SO 2 , mass of carbon, hydrogen, oxygen, nitrogen, sulfur and ash is m C , m H 2 , m O 2 , m N 2 , m S and m Ash respectively. Conclusion: Refer Table A-1, “atomic or molecular weights”, and write the molar masses of given species. M C = 12 kg / kmol M H 2 = 2.06 kg / kmol M O 2 = 32 kg / kmol M N 2 = 28 .01 kg / kmol M S = 32 .06 kg / kmol Here, molar mass of carbon, hydrogen, oxygen, nitrogen and sulfur is M C , M H , M O 2 , M N 2 and M S respectively. Represent the amounts of the substances on the basis of 100 kg of coal as in Table (I). Substance m i ( kg ) M ( kg / kmol ) N i = m i M i ( kmol ) Carbon ( C ) 71.1 12 5.295 Hydrogen ( H 2 ) 5.1 2.016 2.530 Oxygen ( O 2 ) 9 32 0.281 Nitrogen ( N 2 ) 1.4 28.01 0.050 Sulfur ( S ) 5.8 32.06 0.181 Ash 7.6 Refer Table (I), and express the complete combustion reaction with the theoretical amount of air. [ 5.925 C + 2.530 H 2 + 0.281 O 2 + 0.050 N 2 + 0.181 S + Ash + a th ( O 2 + 3.76 N 2 ) → b CO 2 + c H 2 O + d SO 2 + e N 2 ] (II) Here, stoichiometric coefficient of air is a th , carbon is C , hydrogen is H 2 , oxygen is O 2 , nitrogen is N 2 , sulfur is S , carbon dioxide is CO 2 , water is H 2 O , sulfur dioxide is SO 2 and number of moles of carbon dioxide, water, sulfur dioxide and nitrogen is b , c , d and e respectively. 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 = 5 (b) To determine The air–fuel ratio on a mass basis.

Fundamentals of Engineering Thermodynamics

8th Edition

ISBN: 9781118832318

Author: MORAN

Publisher: WILEY

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Chapter 13.8, Problem 16P

(a)

To determine

The amount of SO2 produced, in kg per kg of coal.

(b)

To determine

The air–fuel ratio on a mass basis.

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Chapter 13.8, Problem 15P

Chapter 13.8, Problem 17P

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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 amount of SO 2 produced, in kg per kg of coal.

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The amount of SO2 produced, in kg per kg of coal.

The air–fuel ratio on a mass basis.

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Chapter 13 Solutions