Find the volumetric efficiency and estimate the approximate clearance of a $46-$cm

x $46-$cm$,$ double$-$acting, single cylinder compressor that is turning at $150$ rpm and pumping

$20$ m$3$

$/$min of a gas from $1$ atmosphere, $27$ oC$,$ to $680$ kPaa. Compression and re$-$expansion

are polytropic with pV$1\mathrm{.}32$