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10 February, 08:03

A solution of rubbing alcohol is 68.6 % (v/v) isopropanol in water. How many milliliters of isopropanol are in a 88.2 mL sample of the rubbing alcohol solution? Express your answer to three significant figures.

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  1. 10 February, 09:04
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    From the information given, the total volume of rubbing alcohol is 88.2 ml

    68.6 % of this volume is isopropanol.

    We will assume 88.2 ml represents 100% volume, so the volume of water will be 31.4 %

    The volume of isopropanol is

    68.6/100 x 88.2 → 0.686 * 88.2 = 60.505 ml

    The volume of isopropanol is 60.5 ml.

    Volume of water will be 88.20 - 60.5 = 27.7 ml

    (27.7 / 88.2 * 100 = 31.4%)

    Adding 60.5 ml of isopropanol to 27.7 ml of water to make up 88.2 ml will give 68.6 % v/v isopropanol to water solution.
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