Question #1d470

1 Answer
Aug 31, 2016

Answer:

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

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

You can thus say that #"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.