A worker wants to measure the thermal conductivity of piping used in a processing system. A sample of the pipe used was isolated both internally and externally, as illustrated in Figure 2. The worker then held the upper end of the pipe at 10C and the lower end at the melting temperature of ice. He determined that 3.2 Btu.h-1 was transferred by the amount of ice that melted in a given time under steady-state conditions. Determine the thermal conductivity of the pipe construction material, knowing that the sample is 5 inches long, the inside diameter is 2.067 inches, and the wall thickness is 0.154 inches. (35.76 W/m.C)