In a two-stage reciprocating compressor, the suction pressure is 1.5 bar and delivery pressure is 54 bar with a perfect intercooler. If both stages follow the same polytropic process, the intermediate pressure will be equal to

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ISRO SDSC Technical Assistant Mechanical 8 April 2018 Official Paper
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  1. 6 bar
  2. 9 bar
  3. 27.75 bar
  4. \(\frac{1}{\sqrt2}\)bar

Answer (Detailed Solution Below)

Option 2 : 9 bar
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Detailed Solution

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Concept:

For perfect intercooling in the two-stage compressor,

\({P_i} = \sqrt {{P_1}{P_2}} \)

where Pi = Intermediate Pressure, P1 = Suction pressure, P2 = Delivery pressure

Calculation:

Given:

P1 = 1.5 bar, P2 = 54 bar

So, \({P_i} = \sqrt {{1.5}\times{54}} \)

Pi = 9 bar

Hence the intermediate pressure will be 9 bar.

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