The density of sulfur is #2.0# #g##/##cm^3#. What is the mass of a sample of sulfur that has a volume of #6.0# #cm^3#?

1 Answer
Stefan V.
Jan 4, 2016

#"12 g"#

Explanation:

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

In your case, the density of sulfur is said to be #"2.0 g/cm"^3#. Notice that the volume is given in cubic centimeters, #"cm"^3#. So, what would unit of volume be here?

Well, one unit of volume would be #"1 cm"^3#.

That means that every #"1.0 cm"^3# of sulfur will have a mass of #"2.0 g"#.

In other fords, for every #"1 cm"^3# of sulfur, you can expect a mass of #"2.0 g"#.

Since you have #"6 cm"^3# of sulfur, it follows that its mass will be equal to

#6.0 color(red)(cancel(color(black)("cm"^3))) * "2.0 g"/(1color(red)(cancel(color(black)("cm"^3)))) = color(green)("12 g")#

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