Boundary-layer analysis for fluid flow over a flat plate predicts the following relationships between the local Sherwood (Sh_x), Reynolds (Re), and Schmidt (Sc) numbers:

with the transition beginning at Re_x = 2.0 × 10⁵. Determine what percentage of the mass transfer occurs within the laminar zone of the flow over the flat plate if the Reynolds number at the end of the plate is Re_L = 3.0 × 10⁶.

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0.332 Re!/2 Sc/3 DAB kex for laminar flow, Sh, kex = 0.0292 Re/5 Sc'/3 DAB for turbulent flow, Sh,