A flat roof of a house absorbs a solar radiation flux of 600 W/m2. The backside of

Question:

A flat roof of a house absorbs a solar radiation flux of 600 W/m2. The backside of the roof is well insulated, while the outside loses heat by radiation and convection to ambient air at 20?C. If the emittance of the roof is 0.80 and the convective heat transfer coefficient between the roof and the air is 12 W/(m2 K), calculate:(a) The equilibrium surface temperature of the roof, and(b) The ratio of convective to radiative heat loss. Can one or the other of these be neglected? Explain your answer.GIVENFlat roof of a houseSolar flux absorbed (qsol/A) = 600 W/m2Back of roof is well insulatedAmbient air temperature (T??) = 20?C = 293 KEmittance of the roof (ε) = 0.80Convective heat transfer coefficient ( hc ) = 12 W/(m2 K)ASSUMPTIONSThe heat transfer from the back surface of the roof is negligibleSteady state heatflow