The \(t=4\)-mm-thick glass windows of an automobile have a surface area of \(A=2.6 \mathrm{~m}^{2}\). The outside temperature is \(T_{\infty, o}=32^{\circ} \mathrm{C}\) while the passenger compartment is maintained at \(T_{\infty, i}=22^{\circ} \mathrm{C}\). The convection heat transfer coefficient on the exterior window surface is \(h_{o}=90 \mathrm{~W} / \mathrm{m}^{2} \cdot \mathrm{K}\). Determine the heat gain through the windows when the interior convection heat transfer coefficient is \(h_{i}=15 \mathrm{~W} / \mathrm{m}^{2} \cdot \mathrm{K}\). By controlling the airflow in the passenger compartment the interior heat transfer coefficient can be reduced to \(h_{i}=5 \mathrm{~W} / \mathrm{m}^{2} \cdot \mathrm{K}\) without sacrificing passenger comfort. Determine the heat gain through the window for the reduced inside heat transfer coefficient.