I. 1-D Conduction Heat Transfer in Cylindrical Conduits Consider a steam pipe as illustrated in Figure 3, having a length L = 15 m, inner radius R = 6 cm, outer radius R2 = 8 cm, and thermal conductivity k = 20 W/m C. The inner and outer surfaces of the pipe are maintained at an average temperature of T = 270 C and T2 = 180 C, respectively. The thermal coefficient of steam is hsteam = 12.47 W/m C. You are requested to: i. Obtain the differential equation and the boundary conditions for steady one- dimensional heat conduction through the pipe, ii. Obtain a relation (unique solution) for the variation of temperature in the pipe by solving the differential equation, iii. And Evaluate the rate of heat loss from the steam through the pipe. Figure 3 Please make the following assumptions: Steady-state heat transfer, 1-D heat transfer because of thermal symetry about the centreline, No variation in the axial direction, thus T = T (r), Constant thermal conductivity k, and No heat generation.