(a) Explanation Write the expression for molar air-fuel ratio. A F = A F ¯ ( M air M fuel ) A F ¯ = A F ( M fuel M air ) (I) Here, the mass of fuel is M fuel , the mass of air is M air , the molar air fuel ratio is A F ¯ and the air-fuel ratio is A F . Write the expression for molar mass of fuel. M fuel = 10 ( m C ) + 22 ( m H ) (II) Here, the molecular weight of the carbon is m C and the molecular weight of the hydrogen is m H . Each mole of O 2 in air is accompanied by 4.76 moles of dry air. Write the expression for chemical Equation. [ C 10 H 22 + ( A F ¯ 4.76 kmol ) ( O 2 + 3.76 N 2 ) ] → [ a CO 2 + b H 2 O + c O 2 + d N 2 ] (III) Here, the moles of CO 2 is a , the moles of H 2 O is b the moles of O 2 is c and the moles of N 2 is d . Write the expression for the number of hydrogen in decane. n H = 2 b (IV) Write the expression for number of carbon in decane. n C = a (V) Write the expression for number of oxygen in decane. n O = 2 a + b + 2 c (VI) Write the expression for the number of nitrogen in decane. n N = 2 ( 3.76 kmol ) ( A F ¯ 4.76 kmol ) (VII) Write the expression for molar fraction of CO 2 . y i CO 2 = a a + c + d (VIII) Here, the amount of CO 2 present is a , the amount of O 2 present is b and the amount of N present is d . Write the expression for molar fraction of O 2 . y i O 2 = c a + c + d (IX) Write the expression for molar fraction of N . y i N = d a + c + d (X) Conclusion: Refer to the Table A-1 “Atomic or molecular weights and critical properties of selected elements and compounds” to obtain molecular weight of carbon as 12.01 kg / kmol . The molecular weight of hydrogen is 1.016 kg / kmol . Substitute 12.01 kg / kmol for m C and 1.016 kg / kmol for m H in Equation (II). M fuel = 10 ( 12 (b) To determine Percent of theoretical air.

Fundamentals of Engineering Thermodynamics, Binder Ready Version

8th Edition

ISBN: 9781118820445

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

Publisher: WILEY

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Chapter 13.8, Problem 33P

(a)

To determine

Analysis of the products on a dry molar basis.

(b)

To determine

Percent of theoretical air.

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Chapter 13.8, Problem 32P

Chapter 13.8, Problem 34P

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Fundamentals of Engineering Thermodynamics, Binder Ready Version

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