Question #1d470

1 Answer
Aug 31, 2016

"5.2 mL"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 "1 mL"1 mL. So, you know that "1 mL"1 mL of your substance has a mass of "3.291 g"3.291 g.

This is what "3.291 g/mL"3.291 g/mL means -- you get "3.291 g"3.291 g for every "1 mL"1 mL of this substance

You can thus say that "17 g"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.