Steam in the condenser of a steam power plant is to be condensed at a temperature of 50°C (hfg = 2383 kJ/kg) with cooling water (cp = 4180 J/kg(°C) from a nearby lake, which enters the tubes of the condenser at 18°C and leaves at 27°C. The surface area of the tubes is 42 m2, and the overall heat transfer coefficient is 2400 W/m2(°C. Determine the mass flow rate of the cooling water needed and the rate of condensation of the steam in the condenser.

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Steam 50°C 27°C 18°C Water 50°C