3. Assume the base plate of an 800W iron with dimensions of L=0.6cm in thickness, A=160 cm2 in base area, and thermal conductivity of k=60W/mK. The resistance heaters inside the base plate produce a uniform heat flux that is transferred to the inner surface of the iron. At steady operating conditions the temperature of the plate's outer surface is measured to as 112C. Upper side of the resistance is well insulated therefore by disregarding any heat loss through the upper part of the iron, (a) express the differential equation and the boundary conditions for steady one-dimensional heat conduction through the plate, (b) obtain a relationship for the variation of temperature in the base plate, and (c) evaluate the inner surface temperature