Question

The volume of a diamond is found to be 2.8 ml. what is the mass of the diamond in carats?

Answer 1

Answer:

49.14 carat.

Explanation:

From the question given above, we obtained the following data:

Volume of diamond = 2.8 mL

Mass of diamond (in carat) =.?

Next, we shall determine the mass of diamond in grams (g). This can be obtained as follow:

Volume of diamond = 2.8 mL

Density of diamond = 3.51 g/mL

Mass of diamond ( in grams) =?

Density = mass /volume

3.51 = mass /2.8

Cross multiply

Mass of diamond (in g) = 3.51 × 2.8

Mass of diamond (in g) = 9.828 g

Finally, we shall Convert 9.828 g to carat. This can be obtained as follow:

1 g = 5 carat

Therefore,

9.828 g = 9.828 g /1 g × 5 carat

9.828 g = 49.14 carat.

Therefore, the mass of the diamond in carat is 49.14 carat.