Question

# You perform an extraction to remove a compound dissolved in an aqueous layer into an organic...

You perform an extraction to remove a compound dissolved in an aqueous layer into an organic layer. 80% of the compound is removed after one extraction. You perform the extraction two more times with equivalent amounts of the organic layer. You should expect to extract approximately how much of the compound from the water?
99.2%

What is the equation to do this?

Distribution constant with an expression

Kj = cjA/cjB

where cjA is the molar concentrations of compound in phase A

cjB is molar concentration of phase B

The extraction fraction Ej is given below

Ej = qo/qtotal =coVo/coVo+cwVw = Kj β/ 1+Kj β

= 1-1/1+Kj β

qo thamout of the extracted solvent in the organic phase

qtotal is total amount of solute

Vo and Vm are the volume of organic and aqueous phase

β is phase ratio is given by β = Vo / Vw

co is molar concentration of analyte in organic phase

cw concentration in water

Kj is equilibrium constant

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