How many copper, Cu atoms are present in a sample of copper with a mass of 662.4 amu? 42096. 64. 6.277 ×× 1024 12. 10.
Question
How many copper, Cu atoms are present in a sample of copper with a mass of 662.4 amu?
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- 6.277 ×× 1024
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Solution
To find the number of atoms in a sample, you can use Avogadro's number (6.022 x 10^23 atoms/mole) and the atomic mass of the element.
Here are the steps:
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First, find the molar mass of copper (Cu). The atomic mass of copper is approximately 63.55 amu.
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Convert the mass of the sample from amu to grams. 1 amu is approximately equal to 1.66 x 10^-24 grams. So, 662.4 amu is approximately equal to 1.1 x 10^-21 grams.
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Now, convert the mass of the sample to moles using the molar mass of copper. 1 mole of copper is 63.55 grams. So, 1.1 x 10^-21 grams is approximately equal to 1.73 x 10^-23 moles.
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Finally, find the number of atoms by multiplying the number of moles by Avogadro's number. 1.73 x 10^-23 moles is approximately equal to 1.04 x 10^1 atoms.
So, there are approximately 10 copper atoms in a sample of copper with a mass of 662.4 amu.
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