Derive Eq (17 8) C s k C 0 (1 X) k 1 , where C s impurity concentration in the solid C 0 original impurity concentration in the melt k segregation coefficient X fraction of the melt that has solidified

Question: Derive Eq. (17.8): C s = k C 0 (1 - X) k - 1 , where: C s = impurity concentration in the solid

Derive Eq. (17.8): C_s = k_C⁰(1 - X)^{k - 1}, where:

C_s = impurity concentration in the solid
C₀ = original impurity concentration in the melt
k = segregation coefficient
X = fraction of the melt that has solidified

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