Saturated water vapor at 100°C condenses in the shell side of a one-shell and two-tube heat exchanger with a surface area of 0.5 m²and an overall heat transfer coefficient of 2000 W/m²·K. Cold water (c_pc= 4179 J/kg·K) flowing at 0.5 kg/s enters the tube side at 15°C, determine the outlet temperature of the cold water and the heat transfer rate for the heat exchanger.

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Water vapor Tr.in Tc.out C,out Cold water Tc.n Tr.out