A well-insulated heat exchanger is to heat water (cp = 4.18 kJ/kg €¢ °C) from 25°C to 60°C at a rate of 0.4 kg/s. The heating is to be accomplished by geothermal water (cp = 4.31 kJ/kg €¢ °C) available at 140°C at a mass flow rate of 0.3 kg/s. The inner tube is thin-walled and has a diameter of 0.6 cm. Determine (a) the rate of heat transfer and (b) the rate of energy destruction in the heat exchanger.

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Water 25°C Brine 140 C 60°C