Calculate the percentage of solute:

Problem:

The distribution ratio for a solute X in water-carbon tetrachloride is 10. Calculate the percentage of solute extracted from 50 mL of water by 100 mL of carbon tetrachloride where (a) the total volume of CCl₄ is used at one time and (b) the 100 mL of CCl₄ is divided into five 20 mL portions and employed one after the other.

Fraction remaining in the aqueous phase = V_a/DV _o  + V_a

= 50/(100)(10) + 50 = 0.04762

Fraction transferred to the organic phase = 1- 0.04762

= 0.9524

% Extracted = 95.24

Fraction remaining in the aqueous phase =  (50/50+(10)(20))⁵

=0.00032

Fraction transfer to the organic phase = 1-0.00032

=0.9997