Question #12208

1 Answer
Stefan V.
Apr 13, 2017

#"8.19% v/v"#

Explanation:

A solution's volume by volume percent concentration, #"v/v %"#, tells you the number of milliliters of solute present in #"100 mL"# of solution.

You already know the number of milliliters present in #"359 mL"# of solution, so all that you need to do here is to use the known composition of the solution as a conversion factor to figure out how many milliliters of ethanol would be present in #"100 mL"# of solution.

Keep in mind that you can do this because solutions are homogeneous mixtures, i.e. they same the same composition throughout.

You will have

#100 color(red)(cancel(color(black)("mL solution"))) * "29.4 mL ethanol"/(359color(red)(cancel(color(black)("mL solution")))) = "8.19 mL ethanol"#

This means that the solution's volume by volume percent concentration is equal to

#color(darkgreen)(ul(color(black)("% v/v = 8.19% ethanol")))#

The answer is rounded to three sig figs.

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