Consider a 320 mm × 320 mm window in an aircraft. for a temperature difference of 80°c from the inner to the outer surface of the window, calculate the heat loss through l= 10-mm-thick polycarbonate, soda lime glass, and aerogel windows, respectively. the thermal conductivities of the aerogel and polycarbonate are ka⁢g= 0.014 w/m·k and kp⁢c= 0.21 w/m·k, respectively. evaluate the thermal conductivity of the soda lime glass at 300 k. if the aircraft has 110 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 8-hour intercontinental flight.