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Distribution coefficient of solute X between ether and water is 2.1 g of solute X is in 100 g water. If X is extracted into ether by 100 mL of it, then

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By Expert Faculty of Sri Chaitanya
a
0.667 g of Xis extracted into ether, if it is used in one part of 100 mL
b
0.75 g of X is extracted into ether, if it is used in two parts of 50 mL each
c
Both (a) and (b)
d
None of the above

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detailed solution

Correct option is C

If Wn= solute extracted into solvent II by n extractions w = solute initially in solvent IV1= volume of solvent V2= volume of solvent II to be used in n parts C2C1=K (Partition coefficient)  then Wn=W−wnV1nV1+KV2n (I) If n=1,V1=100mL,V2=100mL,w=1g,K=2 then w1=1−113=23=0.667Thus, (a) is true (II) If n=2,V1=100mL,V2=100mL,w=1g,K=2 then w2=1−1122=34=0.75gThus, (b) is also true


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