Cold water enters a counter flow heat exchanger at 20ºC at a rate of 10 kg/s, where it is heated by a hot water stream that enters the heat exchanger at 80ºC at a rate of 2 kg/s. Assuming the specific heat of water to remain constant at Cp=4.18 kJ/(kg.ºC), determine the maximum heat transfer rate and the outlet temperatures of the cold and the hot water streams.
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