To determine The power produced by the turbine, heat supplied in the boiler, and thermal efficiency. Explanation The given cycle is the simple Rankine cycle with water as the working fluid and operated at the boiler and condenser temperatures of 200 ° C and 40 ° C respectively. Refer Table A-4, “Saturated water-Temperature table”. The saturation pressures corresponding to the temperatures of 300 ° C and 40 ° C is as follows. P 1 = P @ 40 ° C = 7.3851 kPa P 2 = P @ 300 ° C = 8588 kPa 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 formula for work done by the pump during process 1-2. w p,in = v 1 ( P 2 − P 1 ) (I) Here, the specific volume is v , the pressure is P . Write the formula for enthalpy ( h ) at state 2. h 2 = h 1 + w p,in (II) Write the formula for power produced by the turbine ( W ˙ T, out ) . w T, out = h 3 − h 4 (III) The quality of water at the exit of the turbine is expressed as follows. x 4 = s 4 − s f , 4 s f g , 4 (IV) The enthalpy and entropy at state 4 is expressed as follows. h 4 = h f , 4 + x 4 h f g , 4 (V) Here, the enthalpy is h , the entropy is s , the quality of the water is x , the suffix f indicates the fluid condition, the suffix f g indicates the change of vaporization phase; the suffix 4 indicates the state 4. Write the formula for heat in ( q in ) and heat out ( q out ) of the cycle. q in = h 3 − h 2 (VI) q out = h 4 − h 1 (VII) Write the formula for thermal efficiency of the cycle ( η th ) . η th = 1 − q out q in (VIII) At state 1: The water exits the condenser as a saturated liquid at the temperature of 40 ° C . Hence, the enthalpy at state 1 is as follows. h 1 = h f @ 40 ° C Refer Table A-4, “Saturated water-Temperature table”. The enthalpy ( h 1 ) and specific volume ( v 1 ) at state 1 corresponding to the temperature of 40 ° C is 167.53 kJ/kg and 0.001008 m 3 /kg respectively. At state 3: (Turbine inlet) The steam enters the turbine without any superheating i.e. the quality ( x 3 ) of the steam is 1 . Hence, the steam is at the state of saturated vapor. Refer Table A-4, “Saturated water-Temperature table”. The enthalpy ( h 3 = h g ) and entropy ( s 3 = s g ) at state 3 corresponding to the temperature of 300 ° C is as follows. h 3 = h g @ 250 ° C = 2749.6 kJ/kg s 3 = s g @ 250 ° C = 5.7059 kJ/kg ⋅ K At state 4: (Condenser inlet) Refer Table A-4, “Saturated water-Temperature table”. Obtain the following properties corresponding to the temperature of 40 ° C . h f , 4 = 167.53 kJ/kg h f g , 4 = 2406

8th Edition

ISBN: 9780073398174

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

Publisher: McGraw-Hill Education

See similar textbooks

Videos

Question

Chapter 10.9, Problem 14P

To determine

The power produced by the turbine, heat supplied in the boiler, and thermal efficiency.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 10.9, Problem 13P

Chapter 10.9, Problem 15P

Chapter 10 Solutions

Thermodynamics: An Engineering Approach

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