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12 June, 18:04

Katie has a 64 ounce bottle of 91% alcohol. She needs to add some purified water and dilute the solution to 71% alcohol. How much water should she add?

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  1. 12 June, 18:47
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    18.02

    Step-by-step explanation:

    We have the following formula of dilutions in chemistry.

    C1 * M1 = C2 * M2

    We have a 64 ounce bottle of 91% alcohol. Therefore C1 91% and M1 64, and to decrease to 71% that is C2.

    solving for M2

    M2 = C1 * M1 / C2

    Replacing

    M2 = 91% * 64/71%

    M2 = 82.02

    M2 is the total, so you must add

    82.02 - 64 = 18.02
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