Diamonds are measured in carats, and 1 carat=0.200g. The density of diamond is 3.51g/cm^3. What is the volume of a 5.0-carat diamond?

Convert the amount of substance in carat to grams.

(5.0 carat) x (0.200 g / 1 carat) = 1 g

The volume of the substance is obtained by dividing the mass by the density,

v = m / d

v = 1 g / (3.51 g/cm³) = 0.2849 cm³

Therefore, the volume of a 5.0 carat diamond is approximately 0.285 cm³.