Explanation Draw the T − s diagram for the simple Brayton cycle as shown in Figure (1). Write the expression of temperature and pressure relation for the process 1-2. T 2 s = T 1 ( P 2 P 1 ) ( k − 1 k ) (I) Here, temperature at state point 2s is T 2 s . Pressure at state point 2 is P 2 , temperature at state point 1 is T 1 , Pressure at state point 2 is P 2 , and the specific heat ratio is k . Write the expression of temperature and pressure relation for the process 3-4. T 4 s = T 3 ( P 4 P 3 ) ( k − 1 k ) (II) Here, temperature at state point 4 s is T 4 s . Pressure at state point 3 is P 3 , temperature at state point 3 is T 3 , and Pressure at state point 4 is P 4 . Write the expression of power given to the compressor ( w C,in ) . w C,in = c P ( T 2 s − T 1 ) η C (III) Here, specific heat capacity of air is c P , the efficiency of the compressor is η C , temperature at state point 1 is T 1 and temperature at state point 2 s is T 2 s . Write the expression of power developed by the turbine ( w T,out ) . w T,out = η T c P ( T 3 − T 4 s ) (IV) Here, the efficiency of the turbine is η T and temperature at state point 3 is T 3 Write the expression of net power output of the power plant ( w net,out ) . w net,out = w T,out − w C,in (V) Write the expression mass flow rate of air ( m ˙ ) . m ˙ = W ˙ n e t , o u t w n e t , o u t (VI) Conclusion: From Table A-2, “Ideal2gas specific heats of various common gases”, obtain the following properties for air at room temperature. c p = 1.005 kJ / kg k = 1.4 Substitute 310 K for T 1 , 8 for ( P 2 P 1 ) , and 1.4 for k in equation (I). T 2 s = ( 310 K ) ( 8 ) 1.4 − 1 1.4 = 561.5 K Substitute 900 K for T 3 , 1 8 for ( P 4 P 3 ) , and 1

8th Edition

ISBN: 9780073398174

Author: Yunus A. Cengel Dr., Michael A. Boles

Publisher: McGraw-Hill Education

See similar textbooks

Concept explainers

IC engines

The term "engine" indicates a mechanical device/machine used to convert input energy to a specific mechanical output. The input energy may be in the form of chemical energy, thermal energy, or so on and mechanical output is in the form of mechanical ener…

Question

Chapter 9.12, Problem 82P

To determine

The mass flow rate of air through the cycle

Expert Solution & Answer

Chapter 9 Solutions

Thermodynamics: An Engineering Approach

Ch. 9.12 - What are the air-standard assumptions?Ch. 9.12 - What is the difference between air-standard...Ch. 9.12 - How does the thermal efficiency of an ideal cycle,...Ch. 9.12 - What does the area enclosed by the cycle represent...Ch. 9.12 - Prob. 5P Ch. 9.12 - Prob. 6P Ch. 9.12 - Can the mean effective pressure of an automobile...Ch. 9.12 - Prob. 8P Ch. 9.12 - What is the difference between spark-ignition and...Ch. 9.12 - Prob. 10P

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

The mass flow rate of air through the cycle

Solution Summary: The author explains the mass flow rate of air through the cycle and the expression of temperature and pressure relation for the process 1-2.

Concept explainers

The mass flow rate of air through the cycle

Chapter 9 Solutions