# Question 1d470

Aug 31, 2016

$\text{5.2 mL}$

#### Explanation:

All you have to do here is use the density of the substance as a conversion factor to go from grams to milliliters.

In essence, this is what the density of a substance is useful for. As you know, density is defined as the mass of exactly one unit of volume of a substance.

In your case, the density is expressed in grams per milliliter, which means that one unit of volume will be $\text{1 mL}$. So, you know that $\text{1 mL}$ of your substance has a mass of $\text{3.291 g}$.

This is what $\text{3.291 g/mL}$ means -- you get $\text{3.291 g}$ for every $\text{1 mL}$ of this substance

You can thus say that $\text{17 g}$ will occupy a volume of

17 color(red)(cancel(color(black)("g"))) * overbrace("1 mL"/(3.291 color(red)(cancel(color(black)("g")))))^(color(blue)("density as a conversion factor")) = color(green)(|bar(ul(color(white)(a/a)color(black)("5.2 mL")color(white)(a/a)|)))#

The answer is rounded to two sig figs.