Question

What is the volume in mL of a 1.11 carat diamond, given the density of diamond is 3.51 g/mL? (1 carat = 200 mg). Use significant figures

Answer 1

The volume of a 1.11 carat diamond is approximately 0.0631 mL.

Step-by-step explanation:

The volume of a 1.11 carat diamond can be calculated by dividing its mass by the density of diamond. First, convert the mass of the diamond from carats to grams. Since 1 carat is equal to 200 mg, the mass of the diamond in grams is 1.11 carat × 200 mg/1 carat × 1 g/1000 mg = 0.222 g.

Next, use the formula for density: density = mass/volume. Rearranging this formula, we get volume = mass/density. Plugging in the values, volume = 0.222 g/3.51 g/mL = 0.0631 mL.

Therefore, the volume of the 1.11 carat diamond is approximately 0.0631 mL.

Answer 2

We will have to have first in mind the formula of density:
ρ
`= (m)/(V)` , where ρ is the density, m is the mass and V is the volume.
We will next calculate the mass of the diamond:
1 carat ............................................... 200 mg
1.1 carat ............................................ x mg.

`=\ \textgreater \ (200 * 1.1)/(1) = 220 mg`
We will next find out the volume:
ρ
`= (m)/(V)` => V =
`(m)/(p)` =
`(0.220)/(3.51) = 0,062 mL`