Most cooks know that you must tent a large bird during roasting to prevent the skin from burning. Assume we have a turkey in a \(475 \mathrm{~K}\) oven. The oven surface area is \(2 \mathrm{~m}^{2}\). To keep the oven at that temperature, the heating elements and walls are at about \(750 \mathrm{~K}\) with surface emissivities of 0.8. Assuming the turkey can be approximated as a hemisphere, \(30 \mathrm{~cm}\) in diameter, with an emissivity of 0.75 , that is totally enclosed by the oven:

a. Compare the rate of heat transfer between the turkey and the oven in the absence of a radiation shield and when an aluminum radiation shield is used with surface emissivities of 0.05 on the polished side and 0.4 on the rough side.

b. When one tents a bird, the radiation shield generally touches the bird skin. If that happens, we would like to have the temperature of the radiation shield as low as possible. Which side of the shield should be pointed toward the oven walls?