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 10"^23 atoms carbon

Solution:

Convert carats to grams.
"0.500 carat" x "0.2g C"/"1 carat"= "0.1g C"

Convert grams to moles.
"0.1g C" x "1 mol C"/"12.0107g C" = "0.00833 mol C"

Convert moles to atoms.
"0.00833 mol C" x "6.022 x 10"^(23)"/"1 "mol" = "5 x 10"^(21) atoms C (rounded to 1 significant figure due to 200mg having one significant figure)

Answer:
A 0.500 carat diamond contains "5 x 10"^(21) atoms of carbon.

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