(Solved): A greenhouse's roof is made of sheets of silica glass which has a absorptivity of \( \alpha=0.02 \) ...

A greenhouse's roof is made of sheets of silica glass which has a absorptivity of \( \alpha=0.02 \) and reflectivity of \( \rho=0.1 \) for incident radiation in the wavelength range between \( 0.38 \mu \mathrm{m} \) and \( 2.7 \mu \mathrm{m} \). The glass is essentially opaque to radiation having longer and shorter wavelengths. If the garden inside the greenhouse radiates as a black surface with a surface temperature of \( 40^{\circ} \mathrm{C} \), and we can consider the Sun as a blackbody at \( 5780 \mathrm{~K} \), Determine: 1) (2pts)The transmissivity \( \tau \) of the glass for the same wavelength range between \( 0.38 \mu \mathrm{m} \) and \( 2.7 \) \( \mu \mathrm{m} \); 2) (9 pts)The percent of solar radiation that the glass will transmit-i.e \( \% \) of solar energy getting into the greenhouse 3) ( \( 9 \mathrm{pts}) \) The percent of greenhouse radiation will be lost through (transmitted out)the glass?