If the density of a sample is 14 g/mL, and its mass is 56 grams, what would its volume be?

1 Answer
Apr 13, 2016

Answer:

#"4.0 mL"#

Explanation:

The idea here is that the density of a substance can be thought of as being a conversion factor between the mass of a sample of this substance and the volume it occupies.

In your case, the sample is said to have a density of #"14 g mL"^(-1)#. This means that #"1 mL"# of this substance will have a mass of #"14 g"#.

In other words, for every milliliter of that substance that you have in your sample, you get a mass of #"14 g"#.

The problem tells you that the mass of the sample is equal to #"56 g"#. Since this is more than the mass of #"1 mL"#, you can say for a fact that this sample will occupy more than #"1 mL"#.

How much more?

Use the given density to find out!

#56 color(red)(cancel(color(black)("g"))) * overbrace("1 mL"/(14color(red)(cancel(color(black)("g")))))^(color(purple)("density as a conversion factor")) = color(green)(|bar(ul(color(white)(a/a)"4.0 mL"color(white)(a/a)|)))#