The Hope diamond weighs 44.0 carats. Determine the volume occupied by the diamond, given that its density is 3.5 g/cm³ at 20^$\circ$C, and that 1 carat = 0.200 g. A) 2.5 cm³ B) 0.40 cm³ C) 0.016 cm³ D) 63 cm³ E) 150 cm³

Question

Quizplus · Accepted Answer

To find the volume of the Hope diamond, first convert its weight from carats to grams: 44.0 carats * 0.200 g/carat = 8.8 g. Then, use the density formula (density = mass/volume) to find the volume: volume = mass/density = 8.8 g / 3.5 g/cm^3 = 2.514 cm^3, which rounds to 2.5 cm^3.

The Hope Diamond Weighs 44 ∘\circ∘ C, and That 1 Carat = 0

The Hope Diamond Weighs 44 $\circ$ C, and That 1 Carat = 0