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

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