(a) Explanation Write the expression for ideal gas constant of carbon dioxide. R CO 2 = R ¯ M CO 2 (I) Here, the universal gas constant is R ¯ and the molecular weight of the carbon dioxide is M CO 2 . Write the expression for mass flow rate of carbon dioxide. m ˙ CO 2 = p 1 ( A V ) 1 R CO 2 T 1 (II) Here, the pressure at state 1 is p 1 , the volumetric flow rate is ( A V ) 1 and the temperature at state 1 is T 1 . Write the expression for energy balance equation in terms of exit temperature. T 3 = m ˙ CO 2 c p , CO 2 T 1 + m ˙ O 2 c p , O 2 T 2 m ˙ CO 2 c p , CO 2 + m ˙ O 2 c p , O 2 (III) Here, the mass flow rate of the carbon dioxide is m ˙ CO 2 , the mass flow rate of the oxygen is m ˙ O 2 , the specific heat of the carbon dioxide is c p , CO 2 and the specific heat of the oxygen is c p , O 2 , the temperature at state 2 is T 2 and the temperature at state 3 is T 3 . Conclusion: The value of universal gas constant is 1545 lbf ⋅ ft / lbmol ⋅ ° R . Refer to the Table A-1E “Atomic or molecular weights and critical properties of selected element and compounds” to obtain the value of molecular weight of carbon-dioxide as 44.01 lb / lbmol . Substitute 1545 lbf ⋅ ft / lbmol ⋅ ° R for R ¯ and 44.01 lb / lbmol for M CO 2 in Equation (I). R CO 2 = 1545 lbf ⋅ ft / lbmol ⋅ ° R 44.01 lb / lbmol = 35.10 lbf ⋅ ft / lb ⋅ ° R Substitute 18 lbf / in 2 for p 1 , 250 ft 3 / min for ( A V ) 1 , 35.10 lbf ⋅ ft / lb ° R for R CO 2 and 100 ° F for T 1 in Equation (II). m ˙ CO 2 = 250 ft 3 / min × 18 lbf / in 2 35.10 lbf ⋅ ft / lb ⋅ ° R × 100 ° F = ( 250 ft 3 / min ) ( 18 lbf in 2 × 144 in 2 ft 2 ) 35.10 lbf ⋅ ft / lb ⋅ ° R × ( 100 ° F + 460 ) ° R = 648000 lbf ⋅ ft / min 19656 lbf ⋅ ft / lb ≈ 33 lb / min The average temperature is, T avg = T CO 2 + T O 2 2 = 100 ° F + 190 ° F 2 = 145 ° F Refer to the Table A-20E “Ideal specific heat of some common gases” to obtain the value of molar heat capacity at constant pressure as 0 (b) To determine The rate of entropy production. (c) To determine The rate of exergy destruction.

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 12.9, Problem 37P

(a)

To determine

The temperature of the exiting mixture.

(b)

To determine

The rate of entropy production.

(c)

To determine

The rate of exergy destruction.

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Chapter 12.9, Problem 36P

Chapter 12.9, Problem 38P

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Fundamentals of Engineering Thermodynamics, Binder Ready Version

Ch. 12.9 - Prob. 1E Ch. 12.9 - Prob. 2E Ch. 12.9 - Prob. 3E Ch. 12.9 - Prob. 4E Ch. 12.9 - Prob. 5E Ch. 12.9 - Prob. 6E Ch. 12.9 - Prob. 7E Ch. 12.9 - Prob. 8E Ch. 12.9 - Prob. 9E Ch. 12.9 - Prob. 10E

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