A cylindrical pipe (k=10Btu/(h.ft.F) carries a hot fluid that has a temperature of 300F and convection heat transfer coefficient of 20Btu/(h.ft2.FF). The inside diameter of the pipe is 4 inches and the pipe thickness is 0.5 inches. The pipe is insulated with a material that has a thermal conductivity of 0.018Btu/(h. ft.F), and the insulation thickness is 2 inches. The pipe is located in an area where the average temperature is 30F and the convection heat transfer coefficient is 100Btu/(h.ft2.F). Calculate 5.1 the heat loss per second per foot length of pipe neglecting radiation effects both inside and outside of the pipe. (10 points) 5.2 outside insulation surface temperature neglecting radiation effects. (five points) 5.3 If the insulation surface temperature should be maintained at 35F, compute the required insulation thickness. ( 10 points)