A single stage, single acting reciprocating air compressor delivers $0\mathrm{.}7$ kg of air per min at $6$ bar. The suction temperature and pressure are $25C$ and $1$ bar. The bore and stroke of the compressor are $100$ mm and $150$ mm respectively. The clearance volume is $3\%$ of swept volume. Assuming the index of compression and expansion to be $1\mathrm{.}3.$ Find:

Volumetric efficiency of the compressor.

$[5]$

Power supplied to drive the compressor if mechanical efficiency is $85\%.$

Speed of the compressor.