Q$.$No$.24$ The compressor of a gas turbine plant, operating on an ideal intercooled Brayton

cycle, accomplishes an overall compression ratio of $6$ in a two$-$stage compression

process. Intercooling is used to cool the air coming out from the first stage to the

inlet temperature of the first stage, before its entry to the second stage. Air enters

the compressor at $300K$ and $100$kPa. If the properties of gas are constant, the

intercooling pressure for minimum compressor work is

kPa

$($round off to $2$ decimal places$).$