Cold water (cp = 4.18 kJ/kg C) leading to a shower enters a well-insulated, thin-walled, double-pipe,

Cold water (cp = 4.18 kJ/kg ˆ™ °C) leading to a shower enters a well-insulated, thin-walled, double-pipe, counter flow heat exchanger at 15°C at a rate of 0.25 kg/s and is heated to 45°C by hot water (cp = 4.19 kJ/kg ˆ™ °C) that enters at 100°C at a rate of 3 kg/s. Determine (a) The rate of heat transfer and
(b) The rate of exergy destruction in the heat exchanger. Take T0 = 25°C.

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Cold water 0.25 kg/s | 15°C Hot water 3 kg/s 100C 45°C FIGURE P8-80