Hot water at 90°C enters a 15-m section of a cast iron pipe (k = 52 W/m·K) whose inner and...

Hot water at 90°C enters a 15-m section of a cast iron pipe (k = 52 W/m·K) whose inner and outer diameters are 4 and 4.6 cm, respectively, at an average velocity of 1.2 m/s. The outer surface of the pipe, whose emissivity is 0.7, is exposed to the cold air at 10°C in a basement, with a convection heat transfer coefficient of 12 W/m²·K. Taking the walls of the basement to be at 10°C also, determine (a) the rate of heat loss from the water and (b) the temperature at which the water leaves the basement.