The compressor in a plant receives carbon dioxide at 100 kPa, 280 K at a low velocity. At the compressor exit the carbon dioxide is at 1100 kPa and 500 K with a velocity of 25 m/s. The carbon dioxide then flows into an isobaric heat exchanger where it is cooled to 350 K. If the power input into the compressor is 50 kW determine the heat transfer rate in the heat exchanger.