Ms. Terries was given a beautiful deep red gem. She knew she might be holding a ruby. Or, she might be holding a stone worth more than rubies, a stone rared than diamonds – a red beryl. Ms. Terries needed to be careful in her calculations. Red Beryl is a mixture of minerals and its density can be anywhere from 2.63g/cm3 to 2.92 g/cm3 Rubies can also vary in density from 3.9 g/cm3 to 4.1 g/cm3. Ms. Terries weighed the stone. It weighed 4.35 g. When put into a graduated cylinder of water, the water level rose 1.5 mL. Determine the density of the gem. Was it ruby or red beryl?

red beryl

Explanation:

Red Beryls = Density range is 2.63g/cm3 to 2.92 g/cm3

Rubies = Density Range is 3.9 g/cm3 to 4.1 g/cm3

Mass of stone = 4.35 g

Volume of solid = change in water level = 1.5 mL = 1 cm3

Relationship between mass, volume and density is given by;

Density = Mass / Volume

Density = 4.35 / 1.5 = 2.9 g/cm3

The density of the stone falls in the red beryls range hence it is a red beryl.

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