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Question #12f0d

1 Answer

Jul 23, 2017

$% v/v = 25 %$ $%"v/v" = 25%$

Explanation:

We're asked to find the percentage by volume of alcohol in a solution.

We're given:

$100$ $100$ $mL alcohol$ $"mL alcohol"$
$300$ $300$ ${mL H}_{2} O$ $"mL H"_2"O"$

The total volume of the solution is

$100$ $100$ $mL alcohol$ $"mL alcohol"$ $+ 300$ $+ 300$ ${mL H}_{2} O$ $"mL H"_2"O"$ $= 400$ $= color(red)(400$ $mL soln$ $color(red)("mL soln"$

The volume percent of the alcohol is thus

$%"v/v" = "vol. alcohol"/"vol. soln" xx 100% = (100cancel("mL"))/(color(red)(400)cancel(color(red)("mL"))) xx 100% = color(blue)(25%$

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