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Cold water (c_{p} = 4180 J/kg.K) leading to a shower enters a thin-walled double-pipe counter-flow heat exchanger at 15°C at a rate of 1.25 kg/s and is heated to 45°C by hot water (c_{p} = 4190 J/kg.K) that enters at 100°C at a rate of 3 kg/s. If the overall heat transfer coefficient is 880 W/m^{2} .K, determine the rate of heat transfer and the heat transfer surface area of the heat exchanger.
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