You have 1110 g of solute Q dissolved in 140mL of water The

You have 111.0 g of solute Q dissolved in 140-mL of water. The distribution coefficient between ether and water for solute Q is 7. What volume of ether would you need to extract 92.0 g of solute Q in one extraction from the original 111.0g dissolved in 140 mL water? Provide answer to closest mL. (Show calculations)

Solution

Given : 111 g of solute Q

140 ml of water

distribution coefficient between ether and water 7

To Find : vol of ether reqd to extract 92 g of solute Q

Theory : Distribution coeff or partition coeff is the ratio of concentrations of a compound in a mixture of two immiscible phases. In simple words it tells us the difference between solubility of the compounds.

Kd = [wt of solute/vol of ether] / ( 111 g of solute -92 g of solute)/140 ml of water

7 = 92 / v of ether / 9/140

v of ether = 92*140/9*7 = 204 ml of ether will be required to extract 92 g of solute