QUESTION $2$

A two$-$stage, single$-$acting reciprocating air compressor delivers air at a pressure of $3\mathrm{.}65$MPa. The inlet conditions are $100$kPa and $25C$ and the index of compression and expansion are both assumed to be $1\mathrm{.}3.$ If the electrical motor supplies $26kW$ and the mechanical efficiency is $83\%,$ calculate for a speed of $250rpm$ the:

$2\mathrm{.}1$ free air delivered per minute if free air conditions are $105$kPa and $15C$

$2\mathrm{.}2$ bore and stroke of the LP cylinder, if the bore: stroke ratio is $1$:$1\mathrm{.}5$ and the volumetric efficiency is $88\%.$

$[16]$