Consider a large plane wall of thickness L = 0. 5 m. The wall surface at x = 0 is insulated while the surface at x = L is maintained at a temperature of 120 degree C. The thermal conductivity of the wall is k = 108 W/m degree C, and heat is generated in the wall at a rate of q = 0 e-0.5x / W / m3 where 0 = 3.95x105 W / m3. Assuming steady one-dimensional heat transfer (a) express the differential equation and the boundary conditions for the heat conduction through the wall, (b) obtain a relation for the variation of temperature in the wall by solving the differential equation (c) determine the temperature of the insulated surface of the wall and (d) graph the steady state temperature distribution as a function of position.