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The sun roof of a car is defogged by attaching a very very thin heating element to its interior surface, as shown in the figure below. By electrically heating this element, a uniform heat flux qh is established at the interior surface (at the surface only, not throughout the glass thickness). On the interior (bottom) side of the window, the air is quiescent (static) and T,i=25C. On the exterior side (top) of the window, there is forced convection associated with flow free stream velocity U=20m/s and temperature T,o=10C, which can be characterized as horizonta flow past a flat plate. The length of the window in the horizontal direction is 0.5m. The thickness of the glass is 5mm. The width of the glass (into the page) is 1m. The thermophysical properties of air (on both sides of the window) are indicated at right. S (a) Calculate ho, the average heat transfer coefficient at the exterior surface of the window. Show work as always. (b) Calculate hi, the average heat transfer coefficient at the interior surface of the window. Show work as always. (c) Draw a thermal circuit representing this scenario with resistances labeled (using variables in diagram). Include qh at the bottom surface in your circuit. (d) Determine the electrical power required per unit window area to maintain inner surface temperature Ts,i at 15C. (e) Calculate the temperature of the top surface, Ts,o