Question 2 (a) For a gas turbine power cycle operating on an air-standard cycle, and treating the air as a perfect gas, show that the efficiency of the cycle is given by 1 Y-1 γ n = 1- \Rp/ where Rp is the pressure ratio. Also, show that the work ratio is given by Rw = 1 - TL (Rp) Y TH where TH and T are the highest and lowest temperatures in the cycle. (b) A gas turbine power plant operates on an air-standard Joule (Brayton) cycle with a pressure ratio of 7. The air enters the compressor at 25 °C and exits the combustion chamber at 700 °C. Taking Cp for air as 1.005 kJ kg¯¹K and y = 1.4, calculate (i) The efficiency (ii) The net specific work out (iii) The work ratio for the cycle, R₁ = 7.
Question 2 (a) For a gas turbine power cycle operating on an air-standard cycle, and treating the air as a perfect gas, show that the efficiency of the cycle is given by 1 Y-1 γ n = 1- \Rp/ where Rp is the pressure ratio. Also, show that the work ratio is given by Rw = 1 - TL (Rp) Y TH where TH and T are the highest and lowest temperatures in the cycle. (b) A gas turbine power plant operates on an air-standard Joule (Brayton) cycle with a pressure ratio of 7. The air enters the compressor at 25 °C and exits the combustion chamber at 700 °C. Taking Cp for air as 1.005 kJ kg¯¹K and y = 1.4, calculate (i) The efficiency (ii) The net specific work out (iii) The work ratio for the cycle, R₁ = 7.
Refrigeration and Air Conditioning Technology (MindTap Course List)
8th Edition
ISBN:9781305578296
Author:John Tomczyk, Eugene Silberstein, Bill Whitman, Bill Johnson
Publisher:John Tomczyk, Eugene Silberstein, Bill Whitman, Bill Johnson
Chapter45: Domestic Refrigerators And Freezers
Section: Chapter Questions
Problem 20RQ: Welded ______sealed compressors are normally used in household refrigerators.
Related questions
Question
![Question 2
(a) For a gas turbine power cycle operating on an air-standard cycle, and treating the air as a
perfect gas, show that the efficiency of the cycle is given by
1
Y-1
γ
n = 1-
\Rp/
where Rp is the pressure ratio.
Also, show that the work ratio is given by
Rw
=
1
-
TL
(Rp) Y
TH
where TH and T are the highest and lowest temperatures in the cycle.
(b) A gas turbine power plant operates on an air-standard Joule (Brayton) cycle with a pressure
ratio of 7. The air enters the compressor at 25 °C and exits the combustion chamber at 700 °C.
Taking Cp for air as 1.005 kJ kg¯¹K and y = 1.4, calculate
(i)
The efficiency
(ii)
The net specific work out
(iii)
The work ratio for the cycle, R₁ = 7.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6e088488-f964-47b6-8591-fd564c98ea42%2F3540bf61-016f-4f12-bb99-2d6e98c5c3a1%2Fhgxdz5_processed.png&w=3840&q=75)
Transcribed Image Text:Question 2
(a) For a gas turbine power cycle operating on an air-standard cycle, and treating the air as a
perfect gas, show that the efficiency of the cycle is given by
1
Y-1
γ
n = 1-
\Rp/
where Rp is the pressure ratio.
Also, show that the work ratio is given by
Rw
=
1
-
TL
(Rp) Y
TH
where TH and T are the highest and lowest temperatures in the cycle.
(b) A gas turbine power plant operates on an air-standard Joule (Brayton) cycle with a pressure
ratio of 7. The air enters the compressor at 25 °C and exits the combustion chamber at 700 °C.
Taking Cp for air as 1.005 kJ kg¯¹K and y = 1.4, calculate
(i)
The efficiency
(ii)
The net specific work out
(iii)
The work ratio for the cycle, R₁ = 7.
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