Insulation materials are chosen in part for their mechanical properties. For example, a pipe with free space on its outside is insulated using an insulation wrapping, where this insulation must sustain its weight and in many cases have an outside cover that is impermeable to keep out moisture and reactive gases. In contrast, insulation fillings are (fill-in powders and fill-in foams) added in double-wall pipes or in other confined spaces. These are shown in Figure . Using Table, find (a) a wrapping pipe insulation for use at T = 300 K, (b) a foam formed in place for use at T = 300 K, (c) an insulating cement for use at 450 K, (d) a blanket insulation for use at 300 K, and (e) a mineral powder insulation for use at 1,100 K