Explanation Draw the T-s diagram with steam as working fluid for the ideal Rankine cycle as shown in Figure (1). The simple Rankine cycle involves following processes and following conditions: Processes: 1. Process 1 to 2 – Isentropic compression in a Pump 2. Process 2 to 3 – Heat addition at constant pressure in a Boiler 3. Process 3 to 4 – Isentropic expansion in a Turbine 4. Process 4 to 1 – Heat rejection at constant pressure in a Condenser Conditions: The pressure is constant for the process 2 to 3 and the process 4 to 1. P 2 = P 3 and P 4 = P 1 The entropy is constant for the process 1 to 2 and the process 3 to 4. s 1 = s 2 and s 3 = s 4 Here, water is the working fluid. Write the expression for the specific work input to the system. w p,in = v 1 ( P 2 − P 1 ) (I) Here, pressure at state 1 is P 1 , pressure at state 2 is P 2 , and specific volume of steam at state 1 is v 1 . Write the expression for the enthalpy of steam at state 2. h 2 = h 1 + w p , in (II) Here, specific enthalpy of steam at state 1 is h 1 , and specific enthalpy of steam at state 2 is h 2 . Write the expression for the quality of steam at the end of heat rejection process. x 4 = s 4 − s f s f g (III) Here, specific entropy of steam at 10 kPa is s f , specific entropy of vaporization at 10 kPa is s f g , and specific entropy of the saturated liquid at 10 MPa is s 4 . Write the expression for the specific enthalpy of steam at state 4. h 4 = h f + x 4 h f g (IV) Here, specific enthalpy of vaporization of steam at 10 MPa is h f g . Write the expression for the specific heat input to the Rankine cycle. q in = h 3 − h 2 (V) Here, specific heat input to the cycle is q in , specific enthalpy of steam at state 3 is h 3 . Write the expression for the specific heat output of the Rankine cycle. q out = h 4 − h 1 (VI) Here, specific heat output of the cycle is q out . Write the expression for the exergy destruction for the process. x d e s t r o y e d ( i j ) = T 0 ( s i − s j + q R , i j T R ) (VII) Here, entropy at state i is s i , entropy at state j is s j , heat transferred during the process is q R , i j , and temperature of the heat source is T R , and ambient temperature is T 0 . Conclusion: Refer Table A-5, “Saturated water-Pressure table”, the enthalpy ( h 1 ) and specific volume ( v 1 ) at state 1 corresponding to the pressure of 10 kPa is 191 .81 kJ / kg and 0.00101 m 3 / kg respectively. Substitute 0.00101 m 3 / kg for v 1 , 10 kPa for P 1 , and 10 MPa for P 2 in Equation (I). w p,in = 0.00101 m 3 / kg ( 10 , 000 − 10 ) kPa ( 1 kJ 1 kPa ⋅ m 3 ) = 10.09 kJ / kg Substitute 191 .81 kJ / kg for h 1 , and 10.09 kJ / kg for w p,in in Equation (II). h 2 = 191 .81 kJ / kg + 10.09 kJ / kg = 201.90 kJ / kg Refer Table A-6, “Superheated water”, the entropy ( s 3 ) at state 3 corresponding to the pressure of 10 MPa and the temperature of 500 ° C is 6.5995 kJ / kg ⋅ K respectively. Refer Table A-5, “Saturated water-Pressure table”, the entropy of saturated liquid ( s f ) and the entropy of vapor mixture ( s f g ) at state 4 corresponding to the pressure of 10 kPa is 0

8th Edition

ISBN: 8220100257056

Author: CENGEL

Publisher: YUZU

See similar textbooks

Videos

Question

Chapter 10.9, Problem 59P

To determine

The exergy destruction for the each of the process of the Rankine cycle.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 10.9, Problem 58P

Chapter 10.9, Problem 60P

Chapter 10 Solutions

EBK THERMODYNAMICS: AN ENGINEERING APPR

Ch. 10.9 - Why is the Carnot cycle not a realistic model for...Ch. 10.9 - Prob. 2P Ch. 10.9 - A steady-flow Carnot cycle uses water as the...Ch. 10.9 - A steady-flow Carnot cycle uses water as the...Ch. 10.9 - Consider a steady-flow Carnot cycle with water as...Ch. 10.9 - Consider a simple ideal Rankine cycle with fixed...Ch. 10.9 - Consider a simple ideal Rankine cycle with fixed...Ch. 10.9 - Consider a simple ideal Rankine cycle with fixed...Ch. 10.9 - How do actual vapor power cycles differ from...Ch. 10.9 - The entropy of steam increases in actual steam...

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.

Recommended textbooks for you

Elements Of Electromagnetics
Mechanical Engineering
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Oxford University Press
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:9780134319650
Author:Russell C. Hibbeler
Publisher:PEARSON
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:9781259822674
Author:Yunus A. Cengel Dr., Michael A. Boles
Publisher:McGraw-Hill Education
Control Systems Engineering
Mechanical Engineering
ISBN:9781118170519
Author:Norman S. Nise
Publisher:WILEY
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Cengage Learning
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:9781118807330
Author:James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:WILEY