Question

In: Chemistry

0.170g of caffeine is dissolved in 10.0mL of water. The caffeine is extracted from the aqueous...

0.170g of caffeine is dissolved in 10.0mL of water. The caffeine is extracted from the aqueous solution three times with 5.0-mL portions of methylene chloride. Calculate the total amount of caffeine that can be extracted into three portions of methylene chloride. Caffeine has a distribution coefficient of 4.6 between methylene chloride and water.

Please explain throughoutly. This is my first time working with extraction question

Expert Solution

Weight of caffeine is W = 0.170 gm.

Volume of water is V= 10 ml

Volume of methylene chloride which extracted caffeine is v= 5ml

No of portions n=3

Distribution co-efficient= 4.6

TOTAL AMOUNT OF CAFFEINE THAT CAN BE UNEXTRACTED IS GIVEN BY

w_n= WX[K_DxV/(K_DxV+v)]ⁿ

w₃= 0.170[ (4.6x10)/(4.6X10+5)]³

= 0.170[46/46+5]³

= 0.170[46/51]³

=0.170[97336/132651

= 0.170X0.734

=0.125 gms

. AMOUNT OF CAFFEINE UN EXTRACTED IS 0.125 gms.

AMOUNT OF CAFFEINE EXTRACTED = 0.170-0.125

=0.045 gms

queen_honey_blossom answered 1 year ago

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