SOLUTION: How much water has to be evaporated from a container with some amount of 1% acid solution in order to end up with 10 liters of a 2% solution?

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Question 713055: How much water has to be evaporated from a container with some amount of 1% acid solution in order to end up with 10 liters of a 2% solution?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
About half of the water. Are you trying to ask what was the volume of the 1% acid solution to begin with? We can work backward from what the solution became. You doubled the concentration so evaporated half the water.

Result is 2% acid, size is 10 liters. Let w be the liters to add back to get 1% acid.

highlight%28%2810%2A2%2B0%2Aw%29%2F%2810%2Bw%29=1%29
%2810%2A2%29%2F%2810%2Bw%29=1
10%2A2=1%2810%2Bw%29
20=10%2Bw
20-10=w
highlight%28w=10%29 liters would be added to return to the 1% acid concentration.
So "some" 1% acid solution was 10 liters + 10 liters = 20 liters.