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Question

To get a 12% of v/v% of alcohol solution, how much water (in mL) should be mixed with 12 mL of alcohol?

A
100 mL
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B
12 mL
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C
88 mL
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D
50 mL
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Solution

The correct option is C 88 mL
Given,
Volume of solute (alcohol) = 12 mL
Let the volume of water (solvent) required be x mL.
So the volume of solution = (12 + x) mL
We know that,
Volume by volume percentage of solution (v/v%) =Volume of soluteVolume of solution×100

12=1212 + x×100

⇒ 1200 = 12(12+x)
⇒ 1200 = 144 + 12x
⇒ 12x = 1200 - 144 = 1056
⇒ x = 1056/12 = 88

Therefore, 88 mL of water should be mixed with 12 mL of alcohol to make a 12% of v/v% solution.

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