A plane wall is 8.5 cm thick and uniformly generates heat at a rate of 0.4 MW/m. One side of the wall is insulated and the other side is exposed

to fluid at 93°C with a heat transfer coefficient of500 W/m2-K. The thermal conductivity of the wall varies with position according to: k = 20(1+2.3.x) where k is in W/m-K and x is the distance from the insulated side in meters. a.) Develop a numerical model using EES to solve this problem to solve for temperature as a function of position x. b.) Confirm that you numerical model is accurate by comparing it to an analytical solution to this problem for a constant thermal conductivity c.) Determine the maximum temperature of the wall and the location of the maximumtemperature using the numerical model. Be sure that you solution does not changemore than +/-0.1°C as you add more nodes.