Question #30d24

1 Answer
Meave60
Nov 23, 2014

Given/Known:
weight of diamond = 0.500 carat
1 carat = 200mg carbon
200mg carbon = 0.2g carbon
molar mass of carbon = 12.0107g/mol
1 mol carbon = 6.022 x 1023 atoms carbon

Solution:

Convert carats to grams.
0.500 carat x 0.2g C1 carat= 0.1g C

Convert grams to moles.
0.1g C x 1 mol C12.0107g C = 0.00833 mol C

Convert moles to atoms.
0.00833 mol C x 6.022 x 1023/1mol = 5 x 1021 atoms C (rounded to 1 significant figure due to 200mg having one significant figure)

Answer:
A 0.500 carat diamond contains 5 x 1021 atoms of carbon.

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