Problem $2$

$($a$)$ The total solar irradiation incident on the surface of a vertical wall of a building located in the city described in Problem $1$ at $6$:$00$ p$.$m$.($hour $18)$ on a particular day is $120Bt\frac{u}{hr-f{t}^2}.$ The solar absorptivity of the external surface of the roof of the building at that time is $0\mathrm{.}8.$ The convective heat transfer coefficient is $3Bt\frac{u}{hr-f{t}^2-F}.$ Calculate the effective temperature of the outdoor air at $6$:$00$ p$.$m$.($hour $18).$

$($b$)$ It is assumed that the value of the total solar irradiation incident on this horizontal roof for each hour is greater than that for the previous hour by $1Bt\frac{u}{hr-f{t}^2}.$ Generate, and show a table that contains both the total solar irradiation incident on the surface and the effective temperature of the outdoor air for the $24-$hr day for this city. Note: For this $($b$)$ part of the problem, you are required to show only this table.