Question:

A plane, solid slab of thickness L, shown in the figure, has thermal conductivity k that varies with the spatial coordinate x as k = A + Bx, where A and B are positive constants (A > 0, B > 0). The slab walls are maintained at fixed temperatures of T(x = 0) = 0 and T(x = L) = T0 > 0. The slab has no internal heat sources. Considering one-dimensional heat transfer, which one of the following plots qualitatively depicts the steady-state temperature distribution within the slab?
solid slab of thickness L, shown in the figure, has thermal conductivity k

  • plots qualitatively depicts the steady-state temperature distribution within the slab
  • plots qualitatively depicts the steady-state temperature distribution within the slab
  • plots qualitatively depicts the steady-state temperature distribution within the slab
  • plots qualitatively depicts the steady-state temperature distribution within the slab
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The Correct Option is B

Solution and Explanation

The correct option is (B):
plots qualitatively depicts the steady-state temperature distribution within the slab
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