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QUESTION

# What is the mass in grams of one atom copper? How many copper atoms are in 1 gm of copper?

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")