Question

A "carat" is a unit of mass defined as exactly ⅕ of a gram. There are exactly 5 carats in a gram. How many carats would a 1.0 mL diamond have?

Answer 1

17.55 carats

Step-by-step explanation:

First, there is a need to know the mass of 1.0 mL of diamonds. The density of diamond is 3.51 g/mL and density is the ratio of mass and that of volume. Hence;

mass of diamond = density of diamond x volume.

Since the volume of the diamond is 1.0 mL and the density is 3.51 g/mL,

mass of 1.0 mL of diamond = 3.51 x 1.0 = 3.51 g.

1 g = 5 carats, therefore 3.51 g would be;

3.51 x 5 = 17.55 carats.

Hence, there would be 17.55 carats of diamond in 1.0 mL of diamond.