Solar radiation is incident on a \(5 \mathrm{~m}^{2}\) solar absorber plate
surface at a rate of \(800 \mathrm{~W} / \mathrm{m}^{2}\). Ninety-three percent
of the solar radiation is absorbed by the absorber plate, while the remaining
7 percent is reflected away. The solar absorber plate has a surface
temperature of \(40^{\circ} \mathrm{C}\) with an emissivity of \(0.9\) that
experiences radiation exchange with the surrounding temperature of \(-5^{\circ}
\mathrm{C}\). In addition, convective heat transfer occurs between the absorber
plate surface and the ambient air of \(20^{\circ} \mathrm{C}\) with a convection
heat transfer coefficient of \(7 \mathrm{~W} / \mathrm{m}^{2} \cdot
\mathrm{K}\). Determine the efficiency of the solar absorber, which is defined
as the ratio of the usable heat collected by the absorber to the incident
solar radiation on the absorber.