(a) To determine The missing data for the table. The sketch of the T − s diagram. Explanation Draw the sketch of the T - s diagram. Figure (1) Write the expression for the saturated pressure at state 2. p r 2 s = ( p 2 p 1 ) p r 1 (I) Here, the pressure at state 1 is p 1 , the reduced pressure at state 1 is p r 1 the pressure at state 2 is p 2 and the saturated pressure at state a is p r 2 s . Write the expression for the specific enthalpy in terms of compressor efficiency at state 2. h 2 = h 1 + ( h 2 s − h 1 η c ) (II) Here, the compressor efficiency is η c , the specific enthalpy at state 1 is h 1 , the specific enthalpy at state 2 is h 2 and the saturated specific enthalpy at state 2 is h 2 s . Write the expression for the saturated reduced pressure at state 4. p r 4 s = ( p 4 p 3 ) p r 3 (III) Here, the pressure at state 4 is p 4 , the reduced pressure at state 4 is p r 4 s and the reduced pressure at state 3 is p r 3 . Write the expression for the specific enthalpy at state 4. h 4 = h 3 − η t ( h 3 − h 4 s ) (IV) Here, the specific enthalpy at state 4 is h 4 and the specific enthalpy at state is h 3 . Conclusion: Substitute 1200 kPa for p 2 , 100 kPa for p 1 and 1.3860 for p r 1 in Equation (I). p r 2 s = ( 1.3860 ) ( 1200 kPa 100 kPa ) = 16.632 Refer to table A-22 “ideal gas properties of air” to obtain the saturated specific enthalpy at reduced pressure p r 2 s = 16.632 as 610.65 kJ / kg . Substitute 610.65 kJ / kg for h 2 s , 300.19 kJ / kg for h 1 and 0.80 for η c in Equation (II). h 2 = 300.19 kJ / kg + ( 610.65 kJ / kg − 300.19 kJ / kg 0.80 ) = 300.19 kJ / kg + 388.07 kJ / kg ≈ 688.27 kJ / kg Thus, the specific enthalpy at state 2 is 688.27 kJ / kg . Refer to table A-22 “ideal gas properties of air” to obtain the temperature and specific entropy at specific enthalpy h 2 = 688 (b) To determine The mass flow rate of the air. (c) To determine The full exergy accounting for the net rate of exergy increase as the air passes through the combustor.

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 9.14, Problem 82P

(a)

To determine

The missing data for the table.

The sketch of the T−s diagram.

(b)

To determine

The mass flow rate of the air.

(c)

To determine

The full exergy accounting for the net rate of exergy increase as the air passes through the combustor.

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Chapter 9.14, Problem 81P

Chapter 9.14, Problem 83P

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Fundamentals of Engineering Thermodynamics, Binder Ready Version

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The missing data for the table. The sketch of the T − s diagram.

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The missing data for the table. The sketch of the T−s diagram.

The mass flow rate of the air.

The full exergy accounting for the net rate of exergy increase as the air passes through the combustor.

Want to see the full answer?

Chapter 9 Solutions

The missing data for the table.

The sketch of the T−s diagram.