The temperature distribution in the plane wall of area A = 1 m, thickness, L = 0.35 m, thermal conductivity k = 15 is governed by the 1D heat conduction equation: W m.k dT dx + b = 0 where, b = 10 C/m. The left boundary is maintained isothermal T = 100 C. while the right boundary is exposed to hot fluid at To 3 500 C with a convective heat transfer coefficient of h= 250 W/m.K as shown in the diagram. Answer the following questions: (a) Describe the heat transfer equation given in equation 1 completely. (b) Determine the general solution of equation (1) for the temperature distribution T(x). (c) Provide the two boundary conditions for the problem with respect to the given x-coordinate axis shown. (d) Use the boundary conditions to determine the particular solution for the problem. (e) Find the location where the maximum temperature occurs and determine its value. T (f) Determine the conduction heat rate at the left boundary. (g) What is the surface temperature of the right boundary. (1) Too, h X