SOLUTION: How many liters of pure water must be evaporated from 60 liters of a 3% salt water solution to produce a solution that will be a 5% salt water solution?

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Question 818471: How many liters of pure water must be evaporated from 60 liters of a 3% salt water solution
to produce a solution that will be a 5% salt water solution?

Answer by TimothyLamb(4379)   (Show Source): You can put this solution on YOUR website!
total salt in original solution:
60(0.03) = 1.8 liters
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kept volume:
K = 60 - E
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salt in kept volume
K(0.05) = 1.8 liters
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K(0.05) = 1.8 liters
(60 - E)(0.05) = 1.8 liters
3 - E(0.05) = 1.8 liters
E(0.05) = 3 - 1.8
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E = 1.2/0.05
E = 24
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must evaporate 24 liters of pure water
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check the salt concentration of the kept solution:
1.8 liters salt / (60 - 24 liters of kept solution)
1.8 liters salt / (36 liters of kept solution)
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concentration of kept solution: 0.05 (correct)
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