Show your work. State figures used. You may assume steadestate. Problem 1: ( 30 points) A reactor generates 1,200W of heat while in operation. The surrounding air temperature is 25C and has a convection coefficient of 40W/m2C. The reactor consists of a metal wall (k=55W/mC ) that is 1cm thick which is coverod by a layer of insulation that is 2cm thick. You may model the heat flow from the reactor to the environment as a 1-dimensional heat transfer problem through a total area of 2.0m2. (You can neglect curvature of the surface.) a) What would be the surface temperature of the insulation/air interface? b) If the insulation/metal interface is 500C higher than the insulation surface temperature, what is the thermal conductivity of the insulation? c) Using the sum of thermal resistances, calculate the temperature on the inside of the metal wall of the reactor