Final answer:
In a one-stage extraction process using 400 kg of water, the percent recovery in the water solution is 100%.
Step-by-step explanation:
In a multiple-stage extraction process, pure water is used to extract acetic acid from a feed solution containing 25 wt% acetic acid in isopropyl ether.
In a one-stage process, if 400 kg of water is used, we can calculate the percent recovery in the water solution.
First, we need to determine how much acetic acid is present in the feed solution. To do this, we can use the weight percent equation:
Weight Percent = (Mass of solute / Mass of solution) x 100%
Substituting the given values, we have:
25 = (Mass of acetic acid / 400) x 100%
Solving for the mass of acetic acid, we find:
Mass of acetic acid = 25/100 x 400 = 100 kg
Now, we can calculate the percent recovery in the water solution:
Percent Recovery = (Amount of acetic acid in water solution / Amount of acetic acid in feed solution) x 100%
Substituting the given values, we have:
Percent Recovery = (100 / 100) x 100% = 100%
So therefore the percent recovery in the water solution is 100%.