Question

The Hope diamond has a mass of 44.0 carats and a density of 3.51 g/cm3. What is the volume of the Hope diamond? (Hint: 1 carat = 0.200 g)

A.
2.5 g/cm3
B.
2.5 g
C.
2.5 cm3
D.
2.5 carats

Answer 1

q=44.0 ct
p=3.51 g/cm³
Δq=0.200 g/ct

m=q×Δq

v=m/p=q×Δq/p

v=44.0×0.200/3.51≈2.5 cm³


C. 2.5 cm³