Water vapor at 313 K condenses on the outside of a 30-mm diameter thin (wall thickness of 0.1 cm) horizontal copper pipe by cooling water that enters the tube at 298 K at an average velocity of 200 cm/s and leaves at 308 K. Determine the rate of condensation of steam, the average overall heat transfer coefficient between the water vapor and the cooling water, and the tube length. Evaluate properties of liquid water at the film temperature of 308 K for condensation calculations.