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The rate of heat transport through an area A of a sample of material of thermal conduc- tivity k is given by dQ , dᎢ = -KA dt dy where T is the temperature and y is the distance along the sample. a. Show that the SI units of K are W m-' K-1 Kinetic theory of gases can be used to derive an expression for the thermal conduc- tivity of a gas at a temperature T and pressure p 1 k=nCmolecule (0) ^ where, n = number of molecules/m? (v) 8kBT πm and КВТ X= V2pσ b. How does a depend on n and why is this physically reasonable? c. Identify the quantities Cmolecule, 1, (v), and o and provide a physical explanation for the dependence of K on each of these quantities.