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An air standard Brayton cycle operating between the temperature limits of 300K and 1500K. For maximum work output, what will be the pressure ratio and thermal efficiency (in %) of the cycle respectively.
- a)1.58 and 55.25
- b)20.4 and 60.25
- c)15 and 50.25
- d)16.7 and 55.28
Correct answer is option 'D'. Can you explain this answer?
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An air standard Brayton cycle operating between the temperature limits...
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An air standard Brayton cycle operating between the temperature limits...
Air Standard Brayton Cycle:
The air standard Brayton cycle consists of the following four processes:
1. Isentropic compression
2. Constant pressure heat addition
3. Isentropic expansion
4. Constant pressure heat rejection
Pressure Ratio:
The pressure ratio of the cycle can be found using the following formula:
PR = (T3/T2)^(γ/(γ-1))
where, T3 is the maximum cycle temperature (1500K), T2 is the minimum cycle temperature (300K), and γ is the specific heat ratio of air (1.4).
PR = (1500/300)^(1.4/(1.4-1))
PR = 16.7
Therefore, the pressure ratio of the cycle is 16.7.
Thermal Efficiency:
The thermal efficiency of the cycle can be found using the following formula:
ηth = (1 - (1/PR)^((γ-1)/γ))
ηth = (1 - (1/16.7)^((1.4-1)/1.4))
ηth = 55.28%
Therefore, the thermal efficiency of the cycle is 55.28%.
Answer:
The correct answer is option 'D', which is 16.7 and 55.28%.
The air standard Brayton cycle consists of the following four processes:
1. Isentropic compression
2. Constant pressure heat addition
3. Isentropic expansion
4. Constant pressure heat rejection
Pressure Ratio:
The pressure ratio of the cycle can be found using the following formula:
PR = (T3/T2)^(γ/(γ-1))
where, T3 is the maximum cycle temperature (1500K), T2 is the minimum cycle temperature (300K), and γ is the specific heat ratio of air (1.4).
PR = (1500/300)^(1.4/(1.4-1))
PR = 16.7
Therefore, the pressure ratio of the cycle is 16.7.
Thermal Efficiency:
The thermal efficiency of the cycle can be found using the following formula:
ηth = (1 - (1/PR)^((γ-1)/γ))
ηth = (1 - (1/16.7)^((1.4-1)/1.4))
ηth = 55.28%
Therefore, the thermal efficiency of the cycle is 55.28%.
Answer:
The correct answer is option 'D', which is 16.7 and 55.28%.
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An air standard Brayton cycle operating between the temperature limits of 300K and 1500K. For maximum work output, what will be the pressure ratio and thermal efficiency (in %) of the cycle respectively.a)1.58 and 55.25b)20.4 and 60.25c)15 and 50.25d)16.7 and 55.28Correct answer is option 'D'. Can you explain this answer? for Mechanical Engineering 2025 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about An air standard Brayton cycle operating between the temperature limits of 300K and 1500K. For maximum work output, what will be the pressure ratio and thermal efficiency (in %) of the cycle respectively.a)1.58 and 55.25b)20.4 and 60.25c)15 and 50.25d)16.7 and 55.28Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An air standard Brayton cycle operating between the temperature limits of 300K and 1500K. For maximum work output, what will be the pressure ratio and thermal efficiency (in %) of the cycle respectively.a)1.58 and 55.25b)20.4 and 60.25c)15 and 50.25d)16.7 and 55.28Correct answer is option 'D'. Can you explain this answer?.
An air standard Brayton cycle operating between the temperature limits of 300K and 1500K. For maximum work output, what will be the pressure ratio and thermal efficiency (in %) of the cycle respectively.a)1.58 and 55.25b)20.4 and 60.25c)15 and 50.25d)16.7 and 55.28Correct answer is option 'D'. Can you explain this answer? for Mechanical Engineering 2025 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about An air standard Brayton cycle operating between the temperature limits of 300K and 1500K. For maximum work output, what will be the pressure ratio and thermal efficiency (in %) of the cycle respectively.a)1.58 and 55.25b)20.4 and 60.25c)15 and 50.25d)16.7 and 55.28Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An air standard Brayton cycle operating between the temperature limits of 300K and 1500K. For maximum work output, what will be the pressure ratio and thermal efficiency (in %) of the cycle respectively.a)1.58 and 55.25b)20.4 and 60.25c)15 and 50.25d)16.7 and 55.28Correct answer is option 'D'. Can you explain this answer?.
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