Consider a \(0.6 \mathrm{~m}\) high and \(2 \mathrm{~m}\) wide double-pane window consisting of two \(4 \mathrm{~mm}\) thick layers of glass \(\left(k=0.80 \mathrm{~W} / \mathrm{m}^{\circ} \mathrm{C}\right)\) separated by a \(8 \mathrm{~mm}\) wide stagnant air space \(\left(k=0.025 \mathrm{~W} / \mathrm{m}^{\circ} \mathrm{C}\right)\). Determine the steady-state heat transfer through the double-pane window and the temperature of the inner surface for a day when the outside air temperature is \(-15^{\circ} \mathrm{C}\) and the room temperature is \(20^{\circ} \mathrm{C}\). The heat transfer coefficient on the inner and outer surface of the window to be \(10 \mathrm{~W} / \mathrm{m}^{2}{ }^{\circ} \mathrm{C}\) and \(40 \mathrm{~W} / \mathrm{m}^{2 \circ} \mathrm{C}\) respectively. Note that these heat transfer coefficients include the effect of radiation. If the air gap is not provided, what is the temperature of the glass inside the room? Comment on the result.