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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#?

Answer 1

Peyton Adams

#"27.0 g"#

A substance's density indicates the mass of precisely one unit of volume of that substance.

Regarding your situation, the density of aluminum is said to be

#"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")#.

To convert cubic centimeters of aluminum to grams, all you need to do now is use the density of aluminum as a conversion factor.

#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")))#

Three sig figs are used to round the result.

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Answer 2

Henry Antrim

The mass of the aluminum sample would be 27.0 grams.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.