A small, opaque, diffuse object at \(T_{s}=500 \mathrm{~K}\) is suspended in a large furnace whose interior walls are at \(T_{f}=2500 \mathrm{~K}\). The walls are diffuse and gray and have an emissivity of 0.37. The spectral, hemispherical emissivity for the surface of the small object is given below.

(a) Determine the total emissivity and absorptivity of the surface.

(b) Evaluate the reflected radiant flux and the net radiative flux to the surface.

(c) What is the spectral emissive power at \(\lambda=2 \mu \mathrm{m}\) ?

(d) What is the wavelength \(\lambda_{1 / 2}\) for which one-half of the total radiation emitted by the surface is in the spectral region \(\lambda \geq \lambda_{1 / 2}\) ?

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