If ethanol has a density of .785 g/mL, what is the volume of 83.3 g of ethanol?
In order to be able to answer this question, you must understand what the density of a substance tells you.
The density of a substance is nothing more than the mass of that substance that occupies one unit of volume.
In your case, the density of ethanol is given in Grams per milliliter, which means that one unit of volume will be
So, ethanol has a density of
Now, you know that the volume you're using has a mass of
#83.3color(red)(cancel(color(black)("g ethanol"))) * overbrace("1 mL"/(0.785color(red)(cancel(color(black)("g ethanol")))))^(color(purple)("ethanol's density")) = "106.11 mL"#
Rounded to three sig figs, the answer will be
#V_"ethanol" = color(green)("106 mL")#