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Consider the precipitation of a spherical B - rich phase ( b phase ) from a dilute solution ( a phase ) of B in

Consider the precipitation of a spherical B-rich phase (b phase) from a dilute solution (a phase) of B in A. Suppose the original concentration of B in the solid solution is C0=5\times 10^21atoms/cm3, the diffusion coefficient of B is D =2\times 10^-10 cm2/sec, and the interface transfer parameter of B is M=2\times 10^-6 cm/sec. The equilibrium concentration of B in the a and the b phases (Ca and Cb) are 1.625\times 10^21 atoms/cm3 and 3.75\times 10^22 atoms/cm3, respectively. In a quasi-steady state, the averaged concentration of B in the bulk (Ct) remains approximately the same as C0. When the radius of the b particle is r =800 nm,(a) what is the concentration of B next to the a/b interface, Cr?(b) and what is the b particle growth rate (dr/dt)?

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