Q$3(5\%)$ An architect has a design idea to put transparent glass ceiling$/$roof instead of a typical solid opaque material $(R=2\mathrm{.}5(SI)).$ The given conditions are $I_{\text{s}\text{o}\text{l}\text{a}\text{r}}=600\frac{W}{m^2},T_{sur{f}_{o}ut}=50C,T$ indoor$\_$air $=20C,$ and $h$ convection $=10$ in SI unit. You can ignore long wave radiation in a building. Calculate $T_{sur{f}_{i}n}$ for both original design and new design and explain your opinion for this new design idea. To improve the thermal performance of the glass ceiling$/$roof$,$ what is your possible recommendation based on your analysis?

$U=0\mathrm{.}5(SI),SHGC=0\mathrm{.}3T_{sur{f}_{i}n}=$