Aluminum has a density of #2.70# #g##/##cm^3#. What would be the mass of a sample whose volume is #10.0# #cm^3#?

1 Answer
Apr 26, 2017

Answer:

#"27.0 g"#

Explanation:

The density of a substance tells you the mass of exactly one unit of volume of said substance.

In your case, aluminium is said to have a density of

#"density Al" = color(blue)("2.70 g") color(white)(.)color(darkorange)("cm"^(-3))#

This tells you that every #color(darkorange)("1 mL")# of aluminium has a mass of #color(blue)("2.70 g")#.

All you have to do now is use the density of aluminium as a conversion factor to go from cubic centimenters of aluminium to grams

#10.0 color(red)(cancel(color(black)("cm"^3))) * color(blue)("2.70 g")/(color(darkorange)(1)color(red)(cancel(color(darkorange)("cm"^3)))) = color(darkgreen)(ul(color(black)("27.0 g")))#

The answer is rounded to three sig figs.