A reciprocating air compressor taken in $2$m$3/$min air at $0\mathrm{.}11$MPa, $293$K which it delivers at $1\mathrm{.}5$ Mpa, $384$ K to an after cooler where the air where the air is cooled at constant pressure to $298$ K$.$ the power absorbed by the compressor is $4\mathrm{.}15$ kW$.$ Determine the heat transfer in

$($i$)$ the compressor

$($ii$)$ the cooler.

State your assumptions.