Problem 1
The distribution coefficient of phthalic acid distributed between water and diethyl ether at 25 C is 0.59
mass fraction in water (aqueous phase) per mass fraction in the diethyl ether phase. Twenty-five gram of
pure diethyl ether is added to 110 g of a mixture containing 91 wt% water and phthalic acid and the
resulting blend is allowed to equilibrate. Assuming that diethyl ether and water are immiscible
a. Draw and completely label a flowchart for this system.
b. Calculate the percentage composition of phthalic acid in water and diethyl ether
a. The flow diagram is shown below.
b. D = 0.59 = phthalic acid in water phase/phthalic acid in ether phase
total mass = 110 g
mass of water = 100.1 g
mass of phthalic acid = 9.9 g
mass of diethylether = 25 g
let x be the amount of phthalic acid in ether phase and 100 ml of diethylether added for extraction
0.59 = (x/100.1)/(9.9-x/25)
0.234 - 0.0236x = 9.99 x 10^-3x
0.03359x = 0.234
x = 7.00 g
So we have 7.00 g of phthalic acid in ether phase and 2.9 g of phthalic acid in the aqueous phase.
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