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He compressor of a gas turbine plant, operating on an ideal intercooled Brayton cycle, accomplishes an overall compression ratio of 6 in a two-stage compression process, Intercooling is used to cool the air coming out from the first stage to the inlet temperature of the first stage, before its entry to the second stage. Air enters the compressor at 300 K and 100 kPa. If the properties of gas are constant, the intercooling pressure for minimum compressor work is________ kPa (round off to 2 decimal places).
Correct answer is '244.95'. Can you explain this answer?
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He compressor of a gas turbine plant, operating on an ideal intercoole...
P3/P1 = 6 ⇒ P3 = 600 kPa
Intermediate pressure =
Intermediate pressure =
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He compressor of a gas turbine plant, operating on an ideal intercoole...
Given:
- Air enters the compressor at 300 K and 100 kPa.
- Overall compression ratio = 6
- Intercooling is used to cool the air coming out from the first stage to the inlet temperature of the first stage.
To find:
The intercooling pressure for minimum compressor work.
Assumptions:
- The gas turbine plant operates on an ideal intercooled Brayton cycle.
- The properties of gas are constant.
Concepts:
- Ideal intercooled Brayton cycle consists of two isentropic compression stages followed by two isentropic expansion stages.
- The intercooling process cools the air between the compression stages to improve the efficiency of the cycle.
- The minimum compressor work occurs when the intercooling pressure is optimized.
Analysis:
- The overall compression ratio (CR) of the two-stage compression process is given as 6.
- The compression process is isentropic, so we can use the isentropic relation between pressure and temperature to find the pressure at the intercooling stage.
- The isentropic relation for compression is:
P2/P1 = (T2/T1)^(γ/(γ-1))
where P1 and T1 are the initial pressure and temperature, P2 and T2 are the final pressure and temperature, and γ is the specific heat ratio of air.
- Since air properties are constant, γ is constant and can be considered as 1.4 for air.
- The overall compression ratio is given as 6, so we can write the relation between the pressure ratios of the two stages as:
P2/P1 = CR = (P3/P2)^(γ/(γ-1))
where P3 is the pressure after the intercooling stage.
- Rearranging the equation, we get:
P3/P2 = CR^((γ-1)/γ)
- Now, we can substitute the values and calculate the intercooling pressure:
CR = 6
γ = 1.4
P2 = 100 kPa
P3/P2 = 6^((1.4-1)/1.4)
P3 = P2 * 6^((1.4-1)/1.4)
Solution:
- Substituting the values, we get:
P3 = 100 * 6^((1.4-1)/1.4) kPa
P3 ≈ 244.95 kPa (rounded off to 2 decimal places)
Therefore, the intercooling pressure for minimum compressor work is approximately 244.95 kPa.
- Air enters the compressor at 300 K and 100 kPa.
- Overall compression ratio = 6
- Intercooling is used to cool the air coming out from the first stage to the inlet temperature of the first stage.
To find:
The intercooling pressure for minimum compressor work.
Assumptions:
- The gas turbine plant operates on an ideal intercooled Brayton cycle.
- The properties of gas are constant.
Concepts:
- Ideal intercooled Brayton cycle consists of two isentropic compression stages followed by two isentropic expansion stages.
- The intercooling process cools the air between the compression stages to improve the efficiency of the cycle.
- The minimum compressor work occurs when the intercooling pressure is optimized.
Analysis:
- The overall compression ratio (CR) of the two-stage compression process is given as 6.
- The compression process is isentropic, so we can use the isentropic relation between pressure and temperature to find the pressure at the intercooling stage.
- The isentropic relation for compression is:
P2/P1 = (T2/T1)^(γ/(γ-1))
where P1 and T1 are the initial pressure and temperature, P2 and T2 are the final pressure and temperature, and γ is the specific heat ratio of air.
- Since air properties are constant, γ is constant and can be considered as 1.4 for air.
- The overall compression ratio is given as 6, so we can write the relation between the pressure ratios of the two stages as:
P2/P1 = CR = (P3/P2)^(γ/(γ-1))
where P3 is the pressure after the intercooling stage.
- Rearranging the equation, we get:
P3/P2 = CR^((γ-1)/γ)
- Now, we can substitute the values and calculate the intercooling pressure:
CR = 6
γ = 1.4
P2 = 100 kPa
P3/P2 = 6^((1.4-1)/1.4)
P3 = P2 * 6^((1.4-1)/1.4)
Solution:
- Substituting the values, we get:
P3 = 100 * 6^((1.4-1)/1.4) kPa
P3 ≈ 244.95 kPa (rounded off to 2 decimal places)
Therefore, the intercooling pressure for minimum compressor work is approximately 244.95 kPa.
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He compressor of a gas turbine plant, operating on an ideal intercooled Brayton cycle, accomplishes an overall compression ratio of 6 in a two-stage compression process, Intercooling is used to cool the air coming out from the first stage to the inlet temperature of the first stage, before its entry to the second stage. Air enters the compressor at 300 K and 100 kPa. If the properties of gas are constant, the intercooling pressure for minimum compressor work is________ kPa (round off to 2 decimal places).Correct answer is '244.95'. Can you explain this answer?
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He compressor of a gas turbine plant, operating on an ideal intercooled Brayton cycle, accomplishes an overall compression ratio of 6 in a two-stage compression process, Intercooling is used to cool the air coming out from the first stage to the inlet temperature of the first stage, before its entry to the second stage. Air enters the compressor at 300 K and 100 kPa. If the properties of gas are constant, the intercooling pressure for minimum compressor work is________ kPa (round off to 2 decimal places).Correct answer is '244.95'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about He compressor of a gas turbine plant, operating on an ideal intercooled Brayton cycle, accomplishes an overall compression ratio of 6 in a two-stage compression process, Intercooling is used to cool the air coming out from the first stage to the inlet temperature of the first stage, before its entry to the second stage. Air enters the compressor at 300 K and 100 kPa. If the properties of gas are constant, the intercooling pressure for minimum compressor work is________ kPa (round off to 2 decimal places).Correct answer is '244.95'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for He compressor of a gas turbine plant, operating on an ideal intercooled Brayton cycle, accomplishes an overall compression ratio of 6 in a two-stage compression process, Intercooling is used to cool the air coming out from the first stage to the inlet temperature of the first stage, before its entry to the second stage. Air enters the compressor at 300 K and 100 kPa. If the properties of gas are constant, the intercooling pressure for minimum compressor work is________ kPa (round off to 2 decimal places).Correct answer is '244.95'. Can you explain this answer?.
He compressor of a gas turbine plant, operating on an ideal intercooled Brayton cycle, accomplishes an overall compression ratio of 6 in a two-stage compression process, Intercooling is used to cool the air coming out from the first stage to the inlet temperature of the first stage, before its entry to the second stage. Air enters the compressor at 300 K and 100 kPa. If the properties of gas are constant, the intercooling pressure for minimum compressor work is________ kPa (round off to 2 decimal places).Correct answer is '244.95'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about He compressor of a gas turbine plant, operating on an ideal intercooled Brayton cycle, accomplishes an overall compression ratio of 6 in a two-stage compression process, Intercooling is used to cool the air coming out from the first stage to the inlet temperature of the first stage, before its entry to the second stage. Air enters the compressor at 300 K and 100 kPa. If the properties of gas are constant, the intercooling pressure for minimum compressor work is________ kPa (round off to 2 decimal places).Correct answer is '244.95'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for He compressor of a gas turbine plant, operating on an ideal intercooled Brayton cycle, accomplishes an overall compression ratio of 6 in a two-stage compression process, Intercooling is used to cool the air coming out from the first stage to the inlet temperature of the first stage, before its entry to the second stage. Air enters the compressor at 300 K and 100 kPa. If the properties of gas are constant, the intercooling pressure for minimum compressor work is________ kPa (round off to 2 decimal places).Correct answer is '244.95'. Can you explain this answer?.
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