Distribution coefficient (partition coefficient)

The distribution coefficient describes the relative concentrations of a chemical compound in two immiscible solvents.

When a solute, X, with different solubilities in two immiscible solvents, e.g. water and hexane, is shaken in a separating funnel containing both solvents and left to settle, a dynamic equilibrium is established such that the rate of the solute moving from the aqueous layer to the organic layer is the same as the rate of the solute from the organic layer to the aqueous layer.

X(aq)\rightleftharpoons X(org)

The equilibrium constant, called the distribution coefficient (or partition coefficient) is given by:

K_d=\frac{[X(org)]}{[X(aq)]}

If the compound is more soluble in the organic phase, the distribution coefficient will be greater than 1. If it’s more soluble in the aqueous phase, the coefficient will be less than 1. This coefficient is important in various fields like pharmacology, where it helps to predict how a drug will behave in the body (its absorption, distribution, and excretion), and in environmental science, where it can indicate how a pollutant might move between water and soil or sediments.

 

Question

10.00 g of benzoic acid that is dissolved in 100 ml of water is shaken with 50 ml of chloroform and left to settle. 20 ml is then extracted from the aqueous layer and titrated with 6.40 ml of 0.1000 M of NaOH. Calculate the distribution coefficient for benzoic acid in the two solvents.

Answer

C_6H_5COOH(l)+NaOH(aq)\rightarrow C_6H_5COO^-Na^+(aq)+H_2O(l)

K_d=\frac{\frac{\frac{10.00}{122.05}-(0.1000\times 0.00064\times 5)}{0.05}}{\frac{0.1000\times 0.0064\times 5}{0.1}}=49.2

 

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