GATE ME 2020 Set 1 — Question 34
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Thermodynamics → Power Cycles → Air & Gas Compressors
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Question
The 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 and . If the properties of gas are constant, the intercooling pressure for minimum compressor work is ______ (round off to 2 decimal places).
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Solution
For minimum compressor work in a two-stage compression process with perfect intercooling (where the air is cooled back to the initial inlet temperature), the intermediate or intercooling pressure is the geometric mean of the inlet pressure and the final delivery pressure .Given:
Inlet pressure,
Overall compression ratio,
Final delivery pressure, The intercooling pressure for minimum work is:Rounding off to 2 decimal places, the intercooling pressure is . Note: The official answer key marks this question as MTA (Marks To All).
Inlet pressure,
Overall compression ratio,
Final delivery pressure, The intercooling pressure for minimum work is:Rounding off to 2 decimal places, the intercooling pressure is . Note: The official answer key marks this question as MTA (Marks To All).
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