Athermal heating pad can be modeled as a flat wall (slab). it has an electrical heat source in between two layers of felt blanket (semirigid, organic bonded). the electrical wiring can be considered as having no thickness, with the blanket on each side having a thickness of 0.86 cm. the outer surfaces of the heating pad have a thin plastic layer to make it water proof and resist stains. the plastic is teflon and has a thickness of 0.071 cm. the surface of the heating pad is 0.42 m by 0.36 m. when the heating pad is plugged in, it uses 300 w of power from a wall outlet, which translates to an energy source (q-dot) within the pad. a. draw a sketch of the problem, indicating materials, thicknesses, and direction(s) of heat transfer. b. draw a thermal resistance diagram, as well as a qualitative sketch of the temperature profile inside the heating pad from surface to surface when it is plugged in and heated to steady state. c. after being turned on for a while the heating pad reaches steady state (that is the temperature on the surfaces as well as throughout the blanket reach constant values). if all 150 w depart from the heating pad surfaces (which have reached a soothing 60 o c), what is the temperature inside the heating pad where the wire is placed? note: for the blanket, assume a temperature of 365 k to look up thermal conductivity. for the teflon layer, you may use k at 300 k. assume all 150 w of electricity is converted to thermal energy