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QUESTION

# A mass of mercury occupies 0.95 L. What volume would an equal mass of ethanol occupy? The density of mercury is 13.546 g/mL and the density of ethanol is .789 g/mL?

"16 L"

For a given substance, its tells you the mass occupied by one unit of volume of that substance.

In essence, is a measure of how well the molecules of a substance are packed in a unit of volume. In your case, the densities of the two substances are expressed in grams per milliliter, which means that a unit of volume will be "1 mL".

So, mercury has a density of "13.546 g/mL", which means that "1 mL" of mercury will have a mass of "13.546 g". On the other hand, "1 mL" of ethanol will have a mass of "0.789 g".

Your strategy here will be to use the density of mercury to find the mass that occupies "0.95 L", then use the density of ethanol to find the volume that would have an equal mass.

So, you will have - don't forget to convert the volume from liters to milliliters

 0.95 color(red)(cancel(color(black)("L"))) * (10^3color(red)(cancel(color(black)("mL"))))/(1color(red)(cancel(color(black)("L")))) * overbrace("13.546 g"/(1color(red)(cancel(color(black)("mL")))))^(color(purple)("density of mercury")) = "12,868.7 g"

The volume of ethanol that will have an equal mass is

"12,868.7" color(red)(cancel(color(black)("g"))) * overbrace("1 mL"/(0.789color(red)(cancel(color(black)("g")))))^(color(purple)("density of ethanol")) = "16,310.1 mL"

Rounded to two and expressed in liters, the answer will be

"16,310.1"color(red)(cancel(color(black)("mL"))) * "1 L"/(10^3color(red)(cancel(color(black)("mL")))) = color(green)("16 L")