Question

Diamond is a natural form of pure carbon. What number of atoms of carbon are in a 1.00-carat diamond (1.00 carat = 0.200 g)?

Answer 1

Answer:

1.004×10²²

Explanation:

The molar mass of carbon is 12 g/mol

which means that:

1 mole of carbon atoms has a mass of 12 grams.

Since, diamond is a allotrope of carbon.

Mass of  1.00-carat diamond in grams is:

1.00 carat = 0.200 g

Since, 1 mole of C contains 6.022×10²³ atoms of C

So,  

12 grams contains 6.022×10²³ atoms of C

1 gram contains 6.022×10²³/ 12 atoms of C

0.200 gram contains (6.022×10²³/ 12)×0.200 atoms of C

Thus,

1 carat diamond contains 1.004×10²² atoms of C.