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A single acting two-stage air compressor deals with 4 m3/min of air at 1.013 bar and 15°C with a speed of 250 rpm. The delivery pressure is 80 bar. If the inter cooling is complete, the intermittent pressure after first stage will be
1. 9 bar 
2. 8 bar 
3. 7 bar 
4. 6 bar 

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Correct Answer - Option 1 : 9 bar 

Concept:

In multistage compression with inter cooling complete (or) Inter cooling is perfect i.e., air is cooled at constant pressure to its initial pressure.

The intermediate pressures are given by the stage pressure ratio as

\(r = {\left( {\frac{{{p_f}}}{{{p_o}}}} \right)^{\frac{1}{n}}}\)

Where n – number of stages, pf – delivery pressure, po – suction pressure;

In two stage compression, the intermediate pressure is given by

\({p_i} = \sqrt {{p_f}{p_o}} \)

Calculation:

Given po = 1.013 bar, pf = 80 bar;

Now

\({p_i} = \sqrt {1.013 \times 80} = 9\;bar\)

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