A pipe made of stainless steel (k=45W/mK) with an internal diameter of 5cm and an outer diameter of 5.5cm is carrying a fluid at a temperature of 80C. The heat transfer coefficient for the fluid inside the pipe is 1000W/m2K. The heat transfer coefficient of the air is 5W/m2K and the air at a substantial distance from the pipe is at 25C. At steady-state: a. Determine the temperature [C] on the surface of the pipe. b. Determine the heat lost per meter of pipe [W/m]. c. If you were to add an insulating layer to the outside of the pipe with a thermal conductivity of 0.1W/mK, determine the insulation thickness required to achieve a 20% decrease in the heat loss. Use MATLAB or Excel to plot the temperature as a function of the radius between the internal surface of the pipe and the outer surface of the insulation at the required insulation thickness. d. Repeat part c for insulation with a thermal conductivity of 0.05W/mK