Consider a 400 mm × 400 mm window in an aircraft. for a temperature difference of 90°c from the inner to the outer surface of the window, calculate the heat loss rate through l = 12-mm-thick polycarbonate, soda lime glass, and aerogel windows, respectively. the thermal conductivities of the aerogel and polycarbonate are kag = 0.014 w/m · k and kpc = 0.21 w/m · k, respectively. evaluate the thermal conductivity of the soda lime glass at 300 k. if the aircraft has 130 windows and the cost to heat the cabin air is $1/kw · h, compare the costs associated with the heat loss through the windows for an 8hour intercontinental flight.