Problem $05\mathrm{.}055-$ Compressor flow

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An adiabatic air compressor compresses $10\mathrm{.}40$ L$/$s of air at $120$ kPa and $20$C to $1000$ kPa and $300$C$.$ The constant pressure specific heat of air at the average temperature of $160$C $=433$ K is cP$=1\mathrm{.}018$kJ$/$kg$$K$.$cP$=1\mathrm{.}018$kJ$/$kg$$K$.$ The gas constant of air is R$=0\mathrm{.}287$kPa$$m$3/$kg$$K$.$R$=0\mathrm{.}287$kPa$$m$3/$kg$$K$.$

The illustration of the compressor resembles a horizontal funnel with its wider side facing the left and the short side facing the right. A piece of a horizontal pipe is attached to the right margin of the compressor and a cyclic arrow is marked on it$.$ A vertical piece of pipe attached on the bottom left margin acts as an inlet and another vertical piece of pipe attached on the top right margin acts as an outlet. An up arrow that appears to enter the compressor through the inlet is labeled $120$ kilopascal, $20$ degrees Celsius, and V liter per second. Another up arrow that appears to escape the compressor through the outlet is labeled $1$ megapascal and $300$ degrees Celsius.

Problem $05\mathrm{.}055.$a $-$ Compressor flow

Determine the work required by the compressor.

The work required by the compressor is kJ$/$kg$.$ Determine the power required to drive the air compressor in kW$.($Round the final answer to three decimal places.$)$

The power required to drive the air compressor is kW$.$