A gas-turbine power plant operating on the simple Brayton cycle has a pressure ratio of 7. Air enters the compressor at 0°C and 100 kPa. The maximum cycle temperature is 1500 K. The compressor has an isentropic efficiency of 80 percent, and the turbine has an isentropic efficiency of 90 percent. Assume constant properties for air at 300 K with cy= 0.718 kJ/kg-K, cp=1.005 kJ/kg-K, R= 0.287 kJ/kg-K, and k=1.4. If the net power output is 130 MW, determine the volume flow rate of the air into the compressor in m³/s. (You must provide an answer before moving on to the next part.) The volume flow rate of the air into the compressor is m³/s.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
icon
Related questions
Question

T2

A gas-turbine power plant operating on the simple Brayton cycle has a pressure ratio of 7. Air enters the compressor
at 0°C and 100 kPa. The maximum cycle temperature is 1500 K. The compressor has an isentropic efficiency of 80
percent, and the turbine has an isentropic efficiency of 90 percent. Assume constant properties for air at 300 K with cy=
0.718 kJ/kg-K, cp=1.005 kJ/kg-K, R= 0.287 kJ/kg-K, and k = 1.4.
If the net power output is 130 MW, determine the volume flow rate of the air into the compressor in m³/s. (You must provide an answer
before moving on to the next part.)
The volume flow rate of the air into the compressor is
m³/s.
Transcribed Image Text:A gas-turbine power plant operating on the simple Brayton cycle has a pressure ratio of 7. Air enters the compressor at 0°C and 100 kPa. The maximum cycle temperature is 1500 K. The compressor has an isentropic efficiency of 80 percent, and the turbine has an isentropic efficiency of 90 percent. Assume constant properties for air at 300 K with cy= 0.718 kJ/kg-K, cp=1.005 kJ/kg-K, R= 0.287 kJ/kg-K, and k = 1.4. If the net power output is 130 MW, determine the volume flow rate of the air into the compressor in m³/s. (You must provide an answer before moving on to the next part.) The volume flow rate of the air into the compressor is m³/s.
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

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