Methane gas, whose volumetric flow rate is measured as 50 m³/s at 300 K and 101.3 kPa absolute pressure, is compressed to 550 kPa in a compressor and sent to a 4 km long pipe with a diameter of 500 mm at the same temperature. The friction factor in the pipe is 0.002. Methane gas is discharged from the pipe at the same temperature. Find the work done by the compressor in kW. MMethane-16