An insulated counter-flow heat exchanger is used to cool oil coming from a machine. The oil, which has a specific heat of 1.95 kJ/kg?K, enters at 150°C and exits at 50°C. The mass flow rate of the oil is 0.5 kg/s. The oil is cooled by air, which enters at 10°C and exits at 60°C. The pressure change of the air is negligible. Determine the required mass flow rate of the air, and the entropy generation rate of the heat exchanger.
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