Question

7) You think you have found a diamond. Its mass is 5.28 g and its volume is 2 cm3. Calculate the density

and say if it is a diamond or not.

Answer 1

`\boxed {\tt d=2.64 \ g/cm^3}`

`\boxed {\tt Not \ a \ diamond}`

Step-by-step explanation:

Density can be found by dividing the mass by the volume.

`d=(m)/(v)`

The mass is 5.28 grams and the volume is 2 cubic centimeters.

`m=5.28 \ g\\v= 2 \ cm^3`

Substitute the values into the formula.

`d=(5.28 \ g )/(2 \ cm^3)`

Divide.

`d=2.64 \ g/c^3`

The density of the unknown substance is 2.64 grams per cubic centimeter.

The density of a diamond is about 3.5 grams per cubic centimeter. Since 2.64 is not equal to 3.5, the unknown substance is not a diamond.