Correct Answer - Option 3 : 4 bar
Concept:
In a two-stage compressor there is intercooling between the suction and delivery pressure at constant pressure by this intercooling some reduction in work supplied to the compressor another advantage of using multi-stage compression is that greater compression can be achieved compared to the single-stage compression.
For intercooling between the stages using one intercooler the perfect (ideal intercooler) conditions are
\({P_i} = \sqrt {{P_H}{P_L}} \)
Where PL and PH are the suction and delivery pressures respectively.
Calculation:
Given, PL = 2 bar, PH = 8 bar
\({P_i} = \sqrt {{P_H}{P_L}} = \sqrt {{8}\times{2}}=4\; bar \)