Air flows steadily at rate of 0.4kg/s through an air compressor, entering at 6m/s with a pressure of 1 bar and specific volume of 0.85m3/kg, leaving with 4.5m/s with a pressure of 6.9 bar, and specific volume of 0.16m3/kg. The specific internal energy of the air leaving is 88kJ/kg higher than the air entering. Cooling water in a jacket surrounding the cylinder absorbs heat at the rate of 59kW. Calculate the power required to drive the compressor. Determine also the cross-sectional area of the pipe inlet and outlet.