(Solved): 6. A furnace wall emits radiation at \( 2000 \mathrm{~K} \). Treating it as a black body, calculate ...

6. A furnace wall emits radiation at \( 2000 \mathrm{~K} \). Treating it as a black body, calculate: a) Monochromatic flux density (what we have called radiant exitance, in \( \mathrm{W} \mathrm{m}^{-2} \) ) at 1 micron wavelength, b) The wavelength at which emission is a maximum and the corresponding emissive power, and c) Total emissive power. You will need the following radiation constants when dealing with flux in the MKS system: \( c_{1}= \) \( 3.74 \times 10^{-16} \mathrm{~W} \mathrm{~m}^{-2} \) and \( \mathrm{c}_{2}=1.44 \times 10^{-2} \mathrm{M} \mathrm{K} \). [Strategy - list the knowns and then what you are being asked to calculate. Remember, units are your friend, but make sure apples are kept with apples!].