To defog the rear window of a bmw automobile, a very thin transparent heating element is attached to the inner surface of the window. a uniform heat flux of 1400 w/m2 is provided to the heating element for defogging a rear window with thickness of 5 mm. the interior temperature of the bmw is 23°c and the convection heat transfer coefficient is 18 w/m2 .°c. the outside ambient temperature is -9°c and the convection heat transfer coefficient is 110 w/m2 .°c. if the thermal conductivity of the window is 1.4 w/m.°c, determine the inner surface temperature of the window. (30 points)