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To obtain one mole of copper atoms (6.02 x 1023 atoms), weigh out 63.55 g copper. The molar mass (M) of a substance is the mass of one mole of entities (atoms, molecules, or formula units) of the substance. Molar mass has units of grams per mole (g/mol).

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63.546 grams of Copper in 1 mole of Copper

(63.546g/mol) * (1mole/6.022*10^23) = 1.055*19^-22

Another way (But for the Copper 35 iostope):

1 atom of copper has 29 protons and 35 neutrons
29 protons * 1.00728 amu/proton = 29.21112 amu
35 neutrons * 1.00867 amu/neutron = 35.30345 amu

29.21112 + 35.30345 = 64.51457 amu total
(64.51457 amu) * (1 gram/6.02*10^23 amu) = 1.07167*10^-22 grams in one copper-35 atom

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