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Problem in Phase Equilibrium!

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Winga:
Hi Everybody!

Could anyone explain why we use 2 times of 50mL of a solvent for extraction is better than that of using 1 time of 100mL.
 
Thank You!

Donaldson Tan:
do your mathematics

Winga:
Sorry, I need an explanation without using any calculation.
(e.g. about the volume & of the solvent, concentration...)

Mitch:
Lets say that your solute is completely soluble in 5 ml of ether. Then why use 2 x 50ml or 1 x 100ml of ether to extract it? Because the extraction procedures are not 100% efficient. Assuming the extraction protocol is 90% efficient then if you do it twice you can get 90% of 90% of the solute out. If you only do it once then you only get 90% of it out. The amout of ether is irrelevant, its a matter of efficiency.

Winga:
A further question:
As you say the solute is completely soluble in 5 ml of ether, but if we use 2 ml of ether to do 25 times of extraction, will it affect the original efficiency? (0.9^25)

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