A hot-water pipe (k = 35 Btu/hr-ft-OF) in a house, made of % inch schedule 40 pipe is 40 ft long and contains water at 50C. The air around the pipe is at 5C. The heat transfer coefficients inside and outside the pipe are, respectively, 200 Btu/hr-ft2.F and 17.3 W/m?. K (a) Determine the heat loss from the pipe (5 points). (b) 4 group of engineers come up a solution to reduce the heat transfer with insulation added to the pipe of 0.5, 0.25, 0.8 and 1.0 inch with k = 0.2 Btu/hr ft-F. They claim that their insulation design is optimum. Provide your recommendations on the economic insulation design with appropriate explanation (5+5+5+5 points). %3!