c) A friend suggests replacing the steel pipe with a copper pipe which has a much higher thermal conductivity (k=350W/mC ) to greatly increase the heat transfer, but this adds 50% to the cost. Is this a good suggestion? Why or why not? d) What would be the approximate radiation heat transfer if the pipe has an emissivity of 0.3 and the pipe has an outer surface temperature near 80C in a room with a. surrounding wall temperature of 22C ? Problem 2: (40 points) You are analyzing a proposed heating system for a room which involves running 15m of pipe filled with hot water at 85C around the room. Assume the pipe is made of meel ( k =43W/mC ) with an inner diameter of 1.5cm and a wall thickness of 5mm. The ininer convection coefficient from the water to the pipe is 2500W/m20C. The outer convection coefficient from the pipe to the air is 25W/m20C. The walls of the room have a temperature of 15C. a) Calculate the overall heat transfer coefficient (U0) for this system. b) If the room air temperature is at 20C, what would be the heat transfer to the room? You may assume negligible radiation heat transfer and that the water is circulated rapidly so that it remains near 85C