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How much water should be added to 24 mL of 17% alcohol solution to reduce the concentration to 12%?

User Ankit Chandora
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1 Answer

24 votes
24 votes

Answer:

Concentrations can be calculated in several different ways that all give different answers. The most common types of concentrations are by moles, mass, and volume. If this is really the entire question, I would have to assume they want the volume answer because we can't determine the mass or the moles of alcohol without knowing the actual formula of the alcohol. So this is how you do volume concentration:

concentration% = volume of pure substance / total volume of combination * 100

or

12% = .12(16)/16 * 100 (just a restatement of the given)

So starting with 16 ml of solution, we add x ml of water to get a total volume of (16+x). And the amount of pure alcohol is found from .12(16).

Now we calculate: 8% = .12(16)/(16+x) * 100 Solve for x.

.08 = 1.92/(16+x)

.08(16+x) = 1.92

16 + x = 1.92/.08 = 24

x = 24 - 16 = 8 ml

Explanation:

User Yashu Seth
by
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