the partition coefficient between methylene chloride and water for muctane is 4.

ID: 915068 • Letter: T

Question

the partition coefficient between methylene chloride and water for muctane is 4.0 in favor of methylene chloride.

A Solution of 500 mg of muctane is dissolved in 1000 microliters of water, then it is extracted into methylene chloride.

Calculate the amount of muctane that is extracted into

a. one 2000 microliter portion of methylene chloride

b. two 1000 microliter portions of methylene chloride (two consecutive extractions)

Which method (a or b) is more effective in extracting muctane into methylene chloride?

Please help!

A. 500 mg muctane dissolved in 1000 microliter of water

a. let x amount is extracted in dichlormethane then,

Kd = 4 = (x/2000)/(500-x/1000)

4 = x/1000-2x

4000 - 8x = x

9x = 4000

x = 444.44 mg of muctane is extracted in dichloromethane

b. First extraction with 1000 microliter dichloromethane

let x amount is extracted Ist time

4 = (x/1000)/500-x/1000)

4 = x/500-x

2000 - 4x = x

5x = 2000

x = 400 mg extracted in the first time

Amount remaining in water = 500 - 400 = 100 mg

let x be the amount extracted the second time

4 = (x/1000)/(100-x/1000)

400 - 4x = x

5x = 400

x = 80

Total amount extracted = 400 + 80 = 480 mg

Method b. is more effective as more amount of muctane is extracted than by one extraction in a.

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