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Two-stage compressors takes in air at 1.1 bar and discharges at 20 bar. For maximum efficiency, the intermediate pressure is:
- a)10.55 bar
- b)7.33 bar
- c)5.5 bar
- d)4.7 bar
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
Two-stage compressors takes in air at 1.1 bar and discharges at 20 bar...
We know that for minimum compressor work pressure ratio of both stages must be same so
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Two-stage compressors takes in air at 1.1 bar and discharges at 20 bar...
Calculation of Intermediate Pressure in a Two-Stage Compressor
The efficiency of a two-stage compressor can be maximized by determining the appropriate intermediate pressure. In this scenario, the compressor takes in air at 1.1 bar and discharges it at 20 bar. The goal is to find the intermediate pressure for maximum efficiency.
Formula used:
The intermediate pressure (P2) can be calculated using the formula:
P2 = √(P1 * P3)
Where:
P1 = Inlet pressure = 1.1 bar
P3 = Discharge pressure = 20 bar
Calculation:
Plugging in the values:
P2 = √(1.1 * 20)
P2 = √22
P2 ≈ 4.7 bar
Therefore, the intermediate pressure for maximum efficiency in this two-stage compressor system is approximately 4.7 bar, which is closest to option 'D'. This calculated intermediate pressure helps optimize the compressor's performance by balancing the work done in each stage while maintaining efficiency.
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Two-stage compressors takes in air at 1.1 bar and discharges at 20 bar. For maximum efficiency, the intermediate pressure is:a)10.55 bar b)7.33 bar c)5.5 bar d)4.7 barCorrect answer is option 'D'. Can you explain this answer?
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