Consider an idealized flat-plate solar collector with no conduction or convection losses, and with insolation 1000W/m² incident at an angle of 45^◦ from the vertical. Assume that the collector is horizontal and is covered with a pane of glass transparent to incoming radiation but opaque to outgoing (IR) radiation. The glass is kept at 300 K by the external environment. Compute the temperature of the absorber in radiative equilibrium. Recompute the temperature if the absorber is coated with a paint that modifies its emissivity in the IR to ε ≅ 0.2.