Problem $6$: We would like to define the desire thermal properties for deck surfaces so that one will not be burned when waling on the surface after it has been exposed to the sun for a long period of time. Please rank order of the materials which are tabulated below.

a$)$ What mix of bulk $($rather that surface$)$ thermal properties would we like this material to have?

b$)$ Rank order of the following substances from good to poor in terms of thermal properties.

c$)$ Describe a simple test which you would run if hired as a consultant to experimentally determine the rank ordering of a series of deck materials $($in the form of $\backslash (25\backslash$mathrm$\{$~cm$\}\backslash$times $25\backslash$mathrm$\{$~cm$\}\backslash )$ squares$)$ form a synthetic fiber manufacturer.