GATE ME 2016 Set 3 — Question 56
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Thermodynamics → Power Cycles → Air & Gas Compressors
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Question
In a 3-stage air compressor, the inlet pressure is , discharge pressure is and the intermediate pressures are and (). The total pressure ratio of the compressor is 10 and the pressure ratios of the stages are equal. If kPa, the value of the pressure (in kPa) is __________
Correct answer
460 to 470
Solution
For a multi-stage compressor with equal pressure ratios per stage, the stage pressure ratio is given by:
where is the total pressure ratio and is the number of stages.
Given:
Total pressure ratio
Number of stages
So,
The intermediate pressures are:
Substituting the values:
kPa.
where is the total pressure ratio and is the number of stages.
Given:
Total pressure ratio
Number of stages
So,
The intermediate pressures are:
Substituting the values:
kPa.
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