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.
icon
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.
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.
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Refrigeration and Air Conditioning Technology (Mi…
Refrigeration and Air Conditioning Technology (Mi…
Mechanical Engineering
ISBN:
9781305578296
Author:
John Tomczyk, Eugene Silberstein, Bill Whitman, Bill Johnson
Publisher:
Cengage Learning