Question

Question #3aee6

Answer 1

`"60.1 g"`

Explanation:

You can think about a substance's density as being a conversion factor between mass and volume.

More specifically, a substance's density will tell the mass of that substance that occupies one unit of volume.

In this case, 1,3-cycloheptadiene is said to have a density of `"0.868 g mL"^(-1)`. The volume is expressed in milliliters, which means that one unit of volume would correspond to `"1 mL"`.

So, you know that every `"1 mL"` of 1,3-cycloheptadiene has a mass of `"0.868 g"`, which means that `"69.2 mL"` will have a mass of

`69.2 color(red)(cancel(color(black)("mL"))) * overbrace("0.868 g"/(1color(red)(cancel(color(black)("mL")))))^(color(purple)("density")) = color(green)(|bar(ul(color(white)(a/a)"60.1 g"color(white)(a/a)|))) ->` rounded to three sig figs.