Question

a pure diamond with a mass of 0.1000g contains 5.014*10^21 carbon atoms and has a density of 3.52 g/cm^3. The Hope diamond is 44.4 carats. (1 carat = 200 mg). how many carbon atoms does it contain?

Answer 1

For this problem you'll have to do a bit of conversion

First, I would use the first fact they give you that .1000g of diamond retains 5.014*10^21 carbon atoms. We can use this information later.

Next I would start my conversion with 44.4 carats as drawn below. (Sorry for the handwriting I used a mouse to write it.)

Hope that helps!