A small thin metal plate of area A m
2
is kept insulated on one side and expose o e sun on e oer se. e pae asors soar energy a a rate of 500 W/m
2
and dissipates it by convection into the ambient air at T
∞
=300K with a convection heat transfer coefficient h
c
=20 W/(m
2
.
°
C) and by radiation into a surrounding area which may be assumed to be a blackbody at T
sky
=280K. The emissivity of the surface is
ε
= 0.9. Determine the equilibrium temperature of the surface