What is the mass, in grams, of 3.75 xx 10^15 atoms of gold?

1 Answer
marfre
Apr 15, 2017

1.227 xx 10^-6 g of gold

Explanation:

1 " mole " = 6.022 xx 10^23 atoms

Gold's (Au) molar mass from the Periodic table is "196.966" g/mol

Using dimensional analysis:

3.75 xx 10^15 cancel(" atoms Au ") xx color(red)(cancel(1 mol))/(6.022 xx 10^23 cancel(" atoms Au ")) xx (196.966 " g")/ color(red)(cancel(1 mol)) = (3.75(196.966))/6.022 xx 10^(15-23) = 122.654 xx 10^-8 = 1.227 xx 10^-6 " g Au"

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