A gas-turbine power plant operates on the simple Brayton cycle with pressure ration of 16. The working fluid (air) enters the compressor at 40°C and 1 atm with a rate of 850 m³/min and leaves the turbine at 650°C. Assuming a compressor isentropic efficiency of 85 % and a turbine isentropic efficiency of 88 %. ********* Note the following: Pv = RT,PV = mRT, ®2V½ = PAV1 T1 ideal gas equation of state: T2 k-1 ideal gas undergoing an isentropic process: constant specific heats and gas constant with: kJ kJ = 1.108 kg · K' Cv = 0.821 kg · K' kJ R = 0.287. kg · K Gp = k = 1.35, Draw or calculate: (a) a "T-s" or "P-v" diagram that represents this Brayton cycle. (b) the outlet pressure (kPa) of the compressor. (c) the outlet temperature (K) of the compressor. (d) the inlet temperature (K) of the turbine. (e) the mass flow rate (kg/s) of the cycle (hint: use the equation of state). (f) the power (kW) of the compressor.

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
from d to h only
A gas-turbine power plant operates on the simple Brayton cycle with pressure ration of 16. The
working fluid (air) enters the compressor at 40°C and 1 atm with a rate of 850 m³/min and leaves
the turbine at 650°C. Assuming a compressor isentropic efficiency of 85 % and a turbine
isentropic efficiency of 88 %.
*********************************
***********
******
Note the following:
ideal gas equation of state:
Pv = RT,PV = mRT,
P2V2
P,V1
%3D
T2
T1
k-1
T2
ideal gas undergoing an isentropic process:
T1
constant specific heats and gas constant with:
%3D
kJ
= 1.108:
kg · K'
kJ
C, = 0.821
kg · K'
kJ
R = 0.287
kg · K
Gp
k = 1.35,
Draw or calculate:
(a) a "T-s" or "P-v" diagram that represents this Brayton cycle.
(b) the outlet pressure (kPa) of the compressor.
(c) the outlet temperature (K) of the compressor.
(d) the inlet temperature (K) of the turbine.
(e) the mass flow rate (kg/s) of the cycle (hint: use the equation of state).
(f) the power (kW) of the compressor.
(g) the power (kW) of the turbine.
(h) the thermal efficiency (%) of the cycle.
Transcribed Image Text:A gas-turbine power plant operates on the simple Brayton cycle with pressure ration of 16. The working fluid (air) enters the compressor at 40°C and 1 atm with a rate of 850 m³/min and leaves the turbine at 650°C. Assuming a compressor isentropic efficiency of 85 % and a turbine isentropic efficiency of 88 %. ********************************* *********** ****** Note the following: ideal gas equation of state: Pv = RT,PV = mRT, P2V2 P,V1 %3D T2 T1 k-1 T2 ideal gas undergoing an isentropic process: T1 constant specific heats and gas constant with: %3D kJ = 1.108: kg · K' kJ C, = 0.821 kg · K' kJ R = 0.287 kg · K Gp k = 1.35, Draw or calculate: (a) a "T-s" or "P-v" diagram that represents this Brayton cycle. (b) the outlet pressure (kPa) of the compressor. (c) the outlet temperature (K) of the compressor. (d) the inlet temperature (K) of the turbine. (e) the mass flow rate (kg/s) of the cycle (hint: use the equation of state). (f) the power (kW) of the compressor. (g) the power (kW) of the turbine. (h) the thermal efficiency (%) of the cycle.
Expert Solution
steps

Step by step

Solved in 4 steps with 3 images

Blurred answer
Knowledge Booster
Engineering Drawing
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