What is the volume of an object that has a mass of 24 grams and a density of 6.6 g/mL?

1 Answer
Sep 20, 2016

Answer:

#"3.6 mL"#

Explanation:

The density of a substance is a useful property because it tells us the mass of exactly one unit of volume of that substance.

In this case, the unknown object has a density of #"6.6 g/mL"#, which means that every milliliter occupied by this object will have a mass of #"6.6 g"#.

You are told that this unknown object has a mass of #"24 g"#. Since you already know that you get #"6.6 g"# for every #"1 mL"# of this object, which means that you can use the density as a conversion factor to help you find the volume that would have a mass if #"24 g"#

#24 color(red)(cancel(color(black)("g"))) * overbrace("1 mL"/(6.6color(red)(cancel(color(black)("g")))))^(color(blue)("the given density")) = color(green)(bar(ul(|color(white)(a/a)color(black)("3.6 mL")color(white)(a/a)|)))#

The answer is rounded to two sig figs.