Steam in a condenser in a power plant is to be condensed at a temperature of 30 °C using cooling water from a nearby lake. In other words, water vapor at 30 °C must be condensed into liquid at 30 °C. The water from the lake enters the pipes at a temperature of 14 °C and exits the pipes at a temperature of 22 °C. The area of the pipes is 45 m2. The heat transfer coefficient is 2100 W m-2K-1. Determine the mass flow of the cold water [kg/s] and how fast the steam condenses [kg/s]. The heat of vaporization of water at 30 °C is 2431 kJ/kg. The heat capacity of the cold water is 4184 J kg-1K-1. (Answer: mc= 32.5kg/s; mdamp= 0.45 kg/s)