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The ratio of activities of a solute, A in an aqueous/organic system will remain constant and independent of the total quantity of A (hence [A]_{org} \propto [A]_{aq}), so at any given temperature:

(K_D)_A = {(a_A)_{org} \over(a_A)_{aq}} \approx {[A]_{org} \over[A]_{aq}}


Thus, the conentration of A remaining in an aqueous solution after i extractions with an organic solvent can be found using:

[A]_i = ({V_{aq} \over V_{org} K_D + V_{aq}})^i [A]_0


