Question

Resources Hint A chemist wants to extract a solute from 100 mL of water using only 300 mL of ether. The partition coefficient between ether and water is 2.82. Calculate q, the fraction of solute that would remain in the water under each of the extraction conditions. The chemist performs a single extraction with 300 mL of ether. The chemist performs three extractions with 100 mL of ether. The chemist performs six extractions with 50 mL of ether.

Answer 1

q = ( KᏙ +V )

Here, $q=$ the fraction of solute that would remain in the water after n extractions.

$K_p=$ The partition coefficient between ether and water.

$V=$ volume of water

$V'=$ volume of ether

1) Single extraction with 300 mL of ether

q = ( KᏙ +V )

100 ml (2.82 x 300 mL) + 100 mL) 9 =

q=0.106

2)

Three extractions with 100 mL of ether

q = ( KᏙ +V )

100 mL (2.82 x 100 mL) + 100 mL

q=0.0179

3)

Six extractions with 50 mL of ether

q = ( KᏙ +V )

100 ml (2.82 x 50 mL) + 100 mL 100 )

q=0.00510