# How many millilieters of a 12% (v/v) propyl alcohol solution would you need to obtain 5.7 mL of propyl alcohol?

Dec 17, 2016

$\text{48 mL}$

#### Explanation:

A solution's volume by volume percent concentration, $\text{% v/v}$, is a measure of how many milliliters of solute it contains in $\text{100 mL}$ of solution.

In your case, a $\text{12% v/v}$ solution will contain $\text{12 mL}$ of solute for every $\text{100 mL}$ of solution.

This means that in order to have $\text{5.7 mL}$ of solute, you need to have

$5.7 \textcolor{red}{\cancel{\textcolor{b l a c k}{\text{mL solute"))) * "100 mL solution"/(12color(red)(cancel(color(black)("mL solute")))) = color(darkgreen)(ul(color(black)("48 mL solution}}}}$

The answer is rounded to two sig figs.