Consider an opaque, diffuse surface whose spectral reflectivity varies with wavelength as shown. The surface is at $$750K$ $$,$ and irradiation on one side varies with wavelength as shown. The other side is insulated.

Figure $3$: Reflectivity Distribtion

What are the total absorptivity and emissivity of the surface? What is the net radiative heat flux to the surface?

Answers: $0\mathrm{.}72,0\mathrm{.}756,$ and $-11\mathrm{.}76\frac{(kW)}{m^2}$