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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