(a) To determine The pressure at beginning of isothermal expansion. The pressure at the end of isothermal expansion. Explanation The below figure shows the T - s diagram of the process. Figure-(1) In Figure-(1), the process 1 − 2 is constant temperature process, the process 2 − 3 is constant entropy process, the process 3 − 4 is constant temperature process, the process 4 − 1 is constant entropy process. Write the expression for change in entropy in the process 2 − 3 . s 2 − s 3 = c p ln ( T 2 T 1 ) − R ln ( p 2 p 1 ) (I) Here, the temperature at state 1 is T 1 , the temperature at state 2 is T 2 , the characters Writ the expression for isentropic process 2 − 3 . s 2 = s 3 (II) Write the expression for change in entropy in the process 1 − 4 . s 1 − s 4 = c p ln ( T 2 T 1 ) − R ln ( p 1 p 4 ) (III) Write the expression for isentropic process 1 − 4 . s 1 = s 4 (IV) Conclusion: Substitute s 2 for s 3 , in Equation (I). s 2 − s 2 = c p ln ( T 2 T 1 ) − R ln ( p 2 p 3 ) c p ln ( T 2 T 1 ) − R ln ( p 2 p 3 ) = 0 c p ln ( T 2 T 1 ) = R ln ( p 2 p 3 ) ln ( p 2 p 3 ) = c p R ln ( T 2 T 1 ) Rearrange the equation as follow p 2 p 3 = exp ( c p R ln ( T 2 T 1 ) ) p 2 = p 3 exp ( c p R ln ( T 2 T 1 ) ) (V) Substitute 100 kPa for p 3 , 1.005 kJ / kg ⋅ K for c p , 0.287 kJ / kg ⋅ K for R , 1400 K for T 2 and 350 K for T 1 in Equation (V). p 2 = ( 100 kPa ) exp ( 1 (b) To determine The heat transfer in each process. The work transfer in each process. (c) To determine The thermal efficiency of cycle.

Fundamentals of Engineering Thermodynamics

8th Edition

ISBN: 9781118412930

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

Publisher: WILEY

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Chapter 6.13, Problem 33P

(a)

To determine

The pressure at beginning of isothermal expansion.

The pressure at the end of isothermal expansion.

(b)

To determine

The heat transfer in each process.

The work transfer in each process.

(c)

To determine

The thermal efficiency of cycle.

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Chapter 6.13, Problem 32P

Chapter 6.13, Problem 34P

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