Question

The density of sulfuric acid is 1.84 g/mL. What volume of this acid will weigh 171 g?

Answer 1

`"93.0 mL"`

Explanation:

As you know, a substance's density tells you the mass of one unit of volume of that substance.

In your case, the density of sulfuric acid is given to you in grams per milliliter, `"g mL"^(-1)`. This means that the unit of volume here will be `"1 mL"`.

So, you know that every `"1 mL"` of sulfuric acid has a mass of `"1.84 g"`. This means that a mass of `"171 g"` of sulfuric acid will have a volume of

`171 color(red)(cancel(color(black)("g"))) * overbrace("1 mL"/(1.84 color(red)(cancel(color(black)("g")))))^(color(purple)("density")) = color(green)("93.0 mL")`

The answer is rounded to three sig figs.