Mechanical Engineering Exam > Mechanical Engineering Questions > A gas turbine plant operates on an air standa...
Start Learning for Free
A gas turbine plant operates on an air standard Brayton cycle between the temperature limits of 27°C and 800°C
- a)Pressure ratio at which the Brayton cycle efficiency approaches the Carnot cycle efficiency = 86.09
- b)Pressure ratio for maximum work done in Brayton cycle = 7.2
- c)Pressure ratio at which the Brayton cycle efficiency approaches the Carnot cycle efficiency = 74.28
- d)Pressure ratio for maximum work done in Brayton cycle = 9.3
Correct answer is option 'A,D'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
A gas turbine plant operates on an air standard Brayton cycle between ...
°C and 727°C. The pressure ratio of the cycle is 10:1. The mass flow rate of air through the turbine is 10 kg/s. The specific heat ratio of air is 1.4. Determine:
a) The thermal efficiency of the cycle.
b) The power output of the turbine.
c) The rate of heat input to the cycle.
Solution:
a) The thermal efficiency of the cycle can be calculated using the equation:
η = 1 - (1/r)^(γ-1/γ)
where r is the pressure ratio and γ is the specific heat ratio.
Given, r = 10:1 and γ = 1.4
η = 1 - (1/10)^(1.4-1/1.4) = 0.36 or 36%
Therefore, the thermal efficiency of the cycle is 36%.
b) The power output of the turbine can be calculated using the equation:
Wt = m*cp*(T3-T4)
where m is the mass flow rate, cp is the specific heat at constant pressure, T3 is the turbine inlet temperature and T4 is the turbine outlet temperature.
The turbine inlet temperature can be calculated using the equation:
T3 = T2*(r^(γ-1/γ))
where T2 is the compressor outlet temperature.
Given, m = 10 kg/s, cp = 1.005 kJ/kg K (specific heat of air at constant pressure), T2 = 727°C + 273 = 1000 K and T4 = 27°C + 273 = 300 K.
T3 = 1000*(10)^(1.4-1/1.4) = 1558 K
Wt = 10*1.005*(1558-300) = 15.5 MW
Therefore, the power output of the turbine is 15.5 MW.
c) The rate of heat input to the cycle can be calculated using the equation:
Qin = m*cp*(T3-T2)
Given, m = 10 kg/s, cp = 1.005 kJ/kg K and T3 = 1558 K.
T2 can be calculated using the equation:
T2 = T1*(r^(γ-1/γ))
where T1 is the compressor inlet temperature.
Given, T1 = 27°C + 273 = 300 K and r = 10:1.
T2 = 300*(10)^(1.4-1/1.4) = 727 K
Qin = 10*1.005*(1558-727) = 8.2 MW
Therefore, the rate of heat input to the cycle is 8.2 MW.
a) The thermal efficiency of the cycle.
b) The power output of the turbine.
c) The rate of heat input to the cycle.
Solution:
a) The thermal efficiency of the cycle can be calculated using the equation:
η = 1 - (1/r)^(γ-1/γ)
where r is the pressure ratio and γ is the specific heat ratio.
Given, r = 10:1 and γ = 1.4
η = 1 - (1/10)^(1.4-1/1.4) = 0.36 or 36%
Therefore, the thermal efficiency of the cycle is 36%.
b) The power output of the turbine can be calculated using the equation:
Wt = m*cp*(T3-T4)
where m is the mass flow rate, cp is the specific heat at constant pressure, T3 is the turbine inlet temperature and T4 is the turbine outlet temperature.
The turbine inlet temperature can be calculated using the equation:
T3 = T2*(r^(γ-1/γ))
where T2 is the compressor outlet temperature.
Given, m = 10 kg/s, cp = 1.005 kJ/kg K (specific heat of air at constant pressure), T2 = 727°C + 273 = 1000 K and T4 = 27°C + 273 = 300 K.
T3 = 1000*(10)^(1.4-1/1.4) = 1558 K
Wt = 10*1.005*(1558-300) = 15.5 MW
Therefore, the power output of the turbine is 15.5 MW.
c) The rate of heat input to the cycle can be calculated using the equation:
Qin = m*cp*(T3-T2)
Given, m = 10 kg/s, cp = 1.005 kJ/kg K and T3 = 1558 K.
T2 can be calculated using the equation:
T2 = T1*(r^(γ-1/γ))
where T1 is the compressor inlet temperature.
Given, T1 = 27°C + 273 = 300 K and r = 10:1.
T2 = 300*(10)^(1.4-1/1.4) = 727 K
Qin = 10*1.005*(1558-727) = 8.2 MW
Therefore, the rate of heat input to the cycle is 8.2 MW.
Free Test
FREE
| Start Free Test |
Community Answer
A gas turbine plant operates on an air standard Brayton cycle between ...
Tmin = 27°C = 300 K
Tmax = 800°C = 1073 K
⇒ rp = 86.08
∴ Pressure ratio for ηCarnot= ηBrayton = 86.08
Pressure ratio for maximum work done,
Attention Mechanical Engineering Students!
To make sure you are not studying endlessly, EduRev has designed Mechanical Engineering study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Mechanical Engineering.
|
Explore Courses for Mechanical Engineering exam
|
|
Similar Mechanical Engineering Doubts
Top Courses for Mechanical EngineeringView all
A gas turbine plant operates on an air standard Brayton cycle between the temperature limits of 27°C and 800°Ca)Pressure ratio at which the Brayton cycle efficiency approaches the Carnot cycle efficiency =86.09b)Pressure ratio for maximum work done in Brayton cycle = 7.2c)Pressure ratio at which the Brayton cycle efficiency approaches the Carnot cycle efficiency = 74.28d)Pressure ratio for maximum work done in Brayton cycle = 9.3Correct answer is option 'A,D'. Can you explain this answer?
Question Description
A gas turbine plant operates on an air standard Brayton cycle between the temperature limits of 27°C and 800°Ca)Pressure ratio at which the Brayton cycle efficiency approaches the Carnot cycle efficiency =86.09b)Pressure ratio for maximum work done in Brayton cycle = 7.2c)Pressure ratio at which the Brayton cycle efficiency approaches the Carnot cycle efficiency = 74.28d)Pressure ratio for maximum work done in Brayton cycle = 9.3Correct answer is option 'A,D'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about A gas turbine plant operates on an air standard Brayton cycle between the temperature limits of 27°C and 800°Ca)Pressure ratio at which the Brayton cycle efficiency approaches the Carnot cycle efficiency =86.09b)Pressure ratio for maximum work done in Brayton cycle = 7.2c)Pressure ratio at which the Brayton cycle efficiency approaches the Carnot cycle efficiency = 74.28d)Pressure ratio for maximum work done in Brayton cycle = 9.3Correct answer is option 'A,D'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A gas turbine plant operates on an air standard Brayton cycle between the temperature limits of 27°C and 800°Ca)Pressure ratio at which the Brayton cycle efficiency approaches the Carnot cycle efficiency =86.09b)Pressure ratio for maximum work done in Brayton cycle = 7.2c)Pressure ratio at which the Brayton cycle efficiency approaches the Carnot cycle efficiency = 74.28d)Pressure ratio for maximum work done in Brayton cycle = 9.3Correct answer is option 'A,D'. Can you explain this answer?.
A gas turbine plant operates on an air standard Brayton cycle between the temperature limits of 27°C and 800°Ca)Pressure ratio at which the Brayton cycle efficiency approaches the Carnot cycle efficiency =86.09b)Pressure ratio for maximum work done in Brayton cycle = 7.2c)Pressure ratio at which the Brayton cycle efficiency approaches the Carnot cycle efficiency = 74.28d)Pressure ratio for maximum work done in Brayton cycle = 9.3Correct answer is option 'A,D'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about A gas turbine plant operates on an air standard Brayton cycle between the temperature limits of 27°C and 800°Ca)Pressure ratio at which the Brayton cycle efficiency approaches the Carnot cycle efficiency =86.09b)Pressure ratio for maximum work done in Brayton cycle = 7.2c)Pressure ratio at which the Brayton cycle efficiency approaches the Carnot cycle efficiency = 74.28d)Pressure ratio for maximum work done in Brayton cycle = 9.3Correct answer is option 'A,D'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A gas turbine plant operates on an air standard Brayton cycle between the temperature limits of 27°C and 800°Ca)Pressure ratio at which the Brayton cycle efficiency approaches the Carnot cycle efficiency =86.09b)Pressure ratio for maximum work done in Brayton cycle = 7.2c)Pressure ratio at which the Brayton cycle efficiency approaches the Carnot cycle efficiency = 74.28d)Pressure ratio for maximum work done in Brayton cycle = 9.3Correct answer is option 'A,D'. Can you explain this answer?.
Solutions for A gas turbine plant operates on an air standard Brayton cycle between the temperature limits of 27°C and 800°Ca)Pressure ratio at which the Brayton cycle efficiency approaches the Carnot cycle efficiency =86.09b)Pressure ratio for maximum work done in Brayton cycle = 7.2c)Pressure ratio at which the Brayton cycle efficiency approaches the Carnot cycle efficiency = 74.28d)Pressure ratio for maximum work done in Brayton cycle = 9.3Correct answer is option 'A,D'. Can you explain this answer? in English & in Hindi are available as part of our courses for Mechanical Engineering.
Download more important topics, notes, lectures and mock test series for Mechanical Engineering Exam by signing up for free.
Here you can find the meaning of A gas turbine plant operates on an air standard Brayton cycle between the temperature limits of 27°C and 800°Ca)Pressure ratio at which the Brayton cycle efficiency approaches the Carnot cycle efficiency =86.09b)Pressure ratio for maximum work done in Brayton cycle = 7.2c)Pressure ratio at which the Brayton cycle efficiency approaches the Carnot cycle efficiency = 74.28d)Pressure ratio for maximum work done in Brayton cycle = 9.3Correct answer is option 'A,D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A gas turbine plant operates on an air standard Brayton cycle between the temperature limits of 27°C and 800°Ca)Pressure ratio at which the Brayton cycle efficiency approaches the Carnot cycle efficiency =86.09b)Pressure ratio for maximum work done in Brayton cycle = 7.2c)Pressure ratio at which the Brayton cycle efficiency approaches the Carnot cycle efficiency = 74.28d)Pressure ratio for maximum work done in Brayton cycle = 9.3Correct answer is option 'A,D'. Can you explain this answer?, a detailed solution for A gas turbine plant operates on an air standard Brayton cycle between the temperature limits of 27°C and 800°Ca)Pressure ratio at which the Brayton cycle efficiency approaches the Carnot cycle efficiency =86.09b)Pressure ratio for maximum work done in Brayton cycle = 7.2c)Pressure ratio at which the Brayton cycle efficiency approaches the Carnot cycle efficiency = 74.28d)Pressure ratio for maximum work done in Brayton cycle = 9.3Correct answer is option 'A,D'. Can you explain this answer? has been provided alongside types of A gas turbine plant operates on an air standard Brayton cycle between the temperature limits of 27°C and 800°Ca)Pressure ratio at which the Brayton cycle efficiency approaches the Carnot cycle efficiency =86.09b)Pressure ratio for maximum work done in Brayton cycle = 7.2c)Pressure ratio at which the Brayton cycle efficiency approaches the Carnot cycle efficiency = 74.28d)Pressure ratio for maximum work done in Brayton cycle = 9.3Correct answer is option 'A,D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A gas turbine plant operates on an air standard Brayton cycle between the temperature limits of 27°C and 800°Ca)Pressure ratio at which the Brayton cycle efficiency approaches the Carnot cycle efficiency =86.09b)Pressure ratio for maximum work done in Brayton cycle = 7.2c)Pressure ratio at which the Brayton cycle efficiency approaches the Carnot cycle efficiency = 74.28d)Pressure ratio for maximum work done in Brayton cycle = 9.3Correct answer is option 'A,D'. Can you explain this answer? tests, examples and also practice Mechanical Engineering tests.
|
|
Explore Courses for Mechanical Engineering exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup