Problem 1 (30 pts) Steam flowing through a long, thin-walled pipe maintains the pipe wall at a uniform temperature of 600 K. The pipe is covered with an insulation blanket comprised of two different materials, A (KA = 2 W/m-K) and B (kB = 0.5 W/m-K). The inner radius of the insulation blanket is r = 50 mm and the outer radius is 12 = 100 mm. The nsulation blancket is covered by a layer of material 3 with k3 = 0.2 W/m-K and an outer radius 13 = 120 mm, which is expsosed to an convective environment (T = 300 K and h = 25 W/m-K). (a, 10pts) Sketch the thermal circuit of the system. Label all pertinent nodes and resistances. (b, 10pts) For the prescribed conditions, what is the total heat loss from the pipe to the environment? (c, 5 pts) Calculate the temperature at 12. Note that as an approximation, you may consider the temperature at 12 is the same. (d, 5 pts) What is the outer surface temperature at 13? h, T 12