The drawing shows a composite slab consisting of three materialsthrough which he

Question

The drawing shows a composite slab consisting of three materialsthrough which heat is conducted from left to right. The materialshave identical thicknesses and cross sectional areas. Rank thematerials according to their thermal conductivities, largestfirst.

k1, k2, k3 The drawing shows a composite slab consisting of three materialsthrough which heat is conducted from left to right. The materialshave identical thicknesses and cross sectional areas. Rank thematerials according to their thermal conductivities, largestfirst. k1, k2, k3 k1, k3, k2 k3, k2, k1 k2, k1, k3 k2, k3, k1

Explanation / Answer

    in the question it is given that the heat isconducted from left to right so here we must assume that the flowrate is constant     that is     (Q / T) is constant     now we use        (Q / T) = k A (Thot -Tcold) / L     for the first material     k1 = (T / Q) L / (Thot -Tcold)     = 1 / (65oC -45oC)         = 0.05     k2 = (T / Q) L / (Thot -Tcold)     = 1 / (45oC -30oC)         = 0.06     k3 = (T / Q) L / (Thot -Tcold)     = 1 / (30oC -25oC)         = 0.2     so the rank will be     k3 > k2 >k1    (c) is the correct option

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