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One atom of copper has a mass of ##1.06 * 10^(-22)”g”##.
One gram of copper contains ##9.47 * 10^(21)”atoms of copper”##
The be able to determine the mass of an individual copper atom, you need to use copper’s molar mass.
Copper’s molar mass expresses the mass of 1 mole of copper atoms. One mole of any substance contains exactly ##6.022 * 10^(23)## atoms or molecules of that substance – this is known as Avogadro’s number.
In your case, 1 mole of copper will contain ##6.022 * 10^(23)## atoms of copper. So, copper’s molar mass is equal to 63.546 g.
In other words, ##6.022 * 10^(23)## atoms of copper have a mass of 63.456 g. In order to get the mass of an individual copper atom, divide this mass by how many copepr atoms are in 1 mole.
##1cancel(“copper atom”) * “63.456 g”/(6.022 * 10^(23)cancel(“copper atoms”)) = color(green)(1.08 * 10^(-22)”g”)##
In order to get how many copper atoms are in one gram of copper, you can write
##1cancel(“g copper”) * (6.022 * 10^(23)”atoms of copper”)/(63.546cancel(“g”)) = color(green)(9.47 * 10^(21)”atoms”)##
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