(a) Explanation The following figure shows the T-s diagram of the ideal Brayton cycle. Figure-(1) In Figure-(1), x -axis shows the specific entropy and y -axis shows the temperature. Write the expression for the compressor work. W c = c p ( T 2 − T 1 ) Here, the temperature at state 2 is T 2 , temperature at state 1 is T 1 , and the specific heat at constant pressure is c p . Write the expression for the turbine work. W t = c p ( T 3 − T 4 ) Here, the temperature at state 3 is T 3 , and temperature at state 4 is T 4 . Write the expression for the back work ratio of the Brayton cycle. bwr = W c W t (I) Here, temperature at state 4 is T 4 , and the specific heat at constant pressure is c p . Substitute c p ( T 3 − T 4 ) for W t , and c p ( T 2 − T 1 ) for W c in Equation (I) (b) To determine The derivation of the temperature at the compressor inlet to maximizes the net work developed per unit mass.

Fundamentals of Engineering Thermodynamics

8th Edition

ISBN: 9781118832318

Author: MORAN

Publisher: WILEY

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Chapter 9.14, Problem 45P

(a)

To determine

The derivation of the back work ratio for the ideal Brayton cycle.

(b)

To determine

The derivation of the temperature at the compressor inlet to maximizes the net work developed per unit mass.

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Chapter 9.14, Problem 42P

Chapter 9.14, Problem 46P

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Fundamentals of Engineering Thermodynamics

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