What is the volume of a liquid with a density of 5.45 g/ml and a mass of 65 g?

1 Answer
Oct 27, 2016

#"12 mL"#


The thing to remember about a substance's density is that it tells you the mass of every unit of volume of said substance.

In this case, the liquid is said to have a density of #"5.45 g mL"^(-1)#. The density is expressed in grams per milliliter, so right from the start, you can say that you know the mass of #"1 mL"# of liquid.

More specifically, you can say that #"1 mL"# of this liquid has a mass of #"5.45 g"#.

All you have to do now is use the given density as a conversion factor to help you go from mass to volume

#65 color(red)(cancel(color(black)("g"))) * "1 mL"/(5.45 color(red)(cancel(color(black)("g")))) = color(green)(bar(ul(|color(white)(a/a)color(black)("12 mL")color(white)(a/a)|)))#

The answer is rounded to two sig figs, the number of sig figs you have for the mass of the liquid.