A well-insulated, thin-walled, counter-flow heat exchanger is to be used to cool oil (cp = 2.20 kJ/kg €¢ °C) from 150 to 40°C at a rate of 2 kg/s by water (cp = 4.18 kJ/kg €¢ °C) that enters at 22°C at a rate of 1.5 kg/s. The diameter of the tube is 2.5 cm, and its length is 6 m. Determine (a) the rate of heat transfer and (b) the rate of energy destruction in the heat exchanger.

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Hot oil 2 kg/s |150°c Cold water 1.5 kg/s 2290 40°C