Question

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

Answer 1

`"12 mL"`

Explanation:

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.