Consider a 1.2-m-high and 2-m-wide double-pane window consisting of two 3-mm-thick layers of glass (k = 0.78 W/m·K) separated by a 3-cm-wide air space. Determine the steady rate of heat transfer through this window and the temperature of its inner surface for a day during which the room is maintained at 20°C while the temperature of the outdoors is 0°C. Take the heat transfer coefficients on the inner and outer surfaces of the window to be h₁ = 10 W/m²·K and h₂ = 25 W/m²·K and disregard any heat transfer by radiation. Evaluate air properties at a film temperature of 10°C and 1 atm pressure. Is this a good assumption?