A cold liquid enters a counter flow heat exchanger at 15 deg at a rate of 8 $$\frac{kg}{s}$$. A hot stream of the same liquid enters the heat exchanger at 7 deg at 2 $$\frac{kg}{s}$$ Assuming the specific heat of the fluid as 4 $$\frac{kJ}{kg}.^\circ$$C, determine the maximum heat transfer rate.
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