Using air as the working fluid, a simple Brayton cycle operates with minimum and maximum temperature of 27 °C and 697°C. It is operating with maximum cycle pressure 16 bar und minimum cycle pressure 1 bar. The mass flow rate is 10 kg/s. The isentropic efficiency of compressor is 80% and the isentropic efficiency of turbine is 90%. Take air as ideal gas and assume constant specific heats at room temperature. Note the following: ideal gas equation of state: Pv = RT,PV = mRT, T2 P2V2 _ P,V1 T1 k-1 ideal gas undergoing an isentropic process: constant specific heats and gas constant with: kJ Cy = 0.718; kg · K' kJ Cp = 1.005; kg · K’ kJ R = 0.287; kg · K k = 1.4, Draw or calculate: (a) a “T-s" or “P-v" diagram that represents this Brayton cycle. (b) the actual outlet temperature (K) of the compressor. (c) the actual outlet temperature (K) of the turbine.

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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Task 5 from a to c

Task 6
Using air as the working fluid, a simple Brayton cycle operates with minimum and maximum
temperature of 27 °C and 697°C. It is operating with maximum cycle pressure 16 bar und minimum
cycle pressure 1 bar. The mass flow rate is 10 kg/s. The isentropic efficiency of compressor is
80% and the isentropic efficiency of turbine is 90%. Take air as ideal gas and assume constant
specific heats at room temperature.
Note the following:
ideal gas equation of state:
Pv = RT,PV = mRT. P2V2 – P,V1
T1
I|
T2
k-1
k-1
T2
k
=
ideal gas undergoing an isentropic process:
T1
constant specific heats and gas constant with:
kJ
Cy = 0.718
kg · K'
kJ
Cp = 1.005;
kg · K’
kJ
R = 0.287.
k = 1.4,
kg · K
Draw or calculate:
(a) a “T-s" or “P-v" diagram that represents this Brayton cycle.
(b) the actual outlet temperature (K) of the compressor.
(c) the actual outlet temperature (K) of the turbine.
(d) the actual work required per unit mass (kJ/kg) of the compressor.
(e) the actual work produced per unit mass (kJ/kg) of the turbine.
(f) the thermal efficiency (%) of the cycle.
(g) the power output (kW) of the cycle.
Transcribed Image Text:Task 6 Using air as the working fluid, a simple Brayton cycle operates with minimum and maximum temperature of 27 °C and 697°C. It is operating with maximum cycle pressure 16 bar und minimum cycle pressure 1 bar. The mass flow rate is 10 kg/s. The isentropic efficiency of compressor is 80% and the isentropic efficiency of turbine is 90%. Take air as ideal gas and assume constant specific heats at room temperature. Note the following: ideal gas equation of state: Pv = RT,PV = mRT. P2V2 – P,V1 T1 I| T2 k-1 k-1 T2 k = ideal gas undergoing an isentropic process: T1 constant specific heats and gas constant with: kJ Cy = 0.718 kg · K' kJ Cp = 1.005; kg · K’ kJ R = 0.287. k = 1.4, kg · K Draw or calculate: (a) a “T-s" or “P-v" diagram that represents this Brayton cycle. (b) the actual outlet temperature (K) of the compressor. (c) the actual outlet temperature (K) of the turbine. (d) the actual work required per unit mass (kJ/kg) of the compressor. (e) the actual work produced per unit mass (kJ/kg) of the turbine. (f) the thermal efficiency (%) of the cycle. (g) the power output (kW) of the cycle.
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