Answer: the more effective is using three 0.5-mL extractions with ether
Step-by-step explanation:
Using 1.5 ml of ether
Q = [Vaq/(K×Vorg +Vaq)]^n
Q= remaining fraction
Vaq= volume of aqueous phase
Vorg= volume of organic phase
K= distribution coefficient
Using 1.5 ml ether once
Vaq= 1ml, K= 10, n=1
Q = [Vaq/(K×Vorg +Vaq)]^n
Q= [1/10×1.5+1)]^1 = 0.0625
Using 0.5ml ether 3 times
Q = [1/(10×0.5 +1)]^3= 0.0046
Hence using 0.5ml of ether 3 times is more effective