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: P2V2 PV1 T2 ideal gas equation of state: Pv = RT,PV = mRT, T1 * - G) k-1 ideal gas undergoing an isentropic process: T1 constant specific heats and gas constant with: kJ C, = 0.821 kJ Cp = 1.108 kg K' kJ R = 0.287 kg · K k = 1.35, kg K' 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.
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: P2V2 PV1 T2 ideal gas equation of state: Pv = RT,PV = mRT, T1 * - G) k-1 ideal gas undergoing an isentropic process: T1 constant specific heats and gas constant with: kJ C, = 0.821 kJ Cp = 1.108 kg K' kJ R = 0.287 kg · K k = 1.35, kg K' 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.
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
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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.
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