Consider a plane wall of thickness L whose thermal conductivity varies in a speeified temperature range as k(T) = k0(1 + ßT2) where k0 and ß are two speeified constants. The wall surface at x = 0 is maintained at a constant temperature of T1, while the surface at x = L is maintained at T2. Assuming steady one-dimensional heat transfer, obtain a relation for the heat transfer rate through the wall.
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