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How many moles are in [tex]2.16 \times 10^{24}[/tex] atoms of lead?

A. 1.79 moles
B. 0.359 moles
C. 3.59 moles
D. 35.9 moles
E. 6.08 moles

Answer :

Final answer:

The number of moles in a sample can be calculated using Avogadro's number (6.022 x 10^23), which gives a direct relationship between moles and atoms. Thus, when given 2.16 x 10^24 atoms of lead, the calculation results in approximately 3.59 moles. Therefore, the correct answer is C) 3.59 moles.

Explanation:

The subject of this question is Chemistry, specifically the concept of moles. The number of moles in a sample can be calculated using Avogadro's number, which is 6.022 x 10^23 atoms/mole. To find the number of moles in a given number of atoms, you need to use Avogadro's number. Avogadro's number, which is approximately equal to 6.022 x 10^23, represents the number of atoms or molecules in one mole of a substance. In this case, we have 2.16 x 10^24 atoms of lead.

Thus, to find out the number of moles in 2.16 x 10^24 atoms of lead, we divide the given number of atoms by Avogadro's number. That is, 2.16 x 10^24 atoms / 6.022 x 10^23 atoms/mole = 3.59 moles. So, the correct answer is C) 3.59 moles. This equation illustrates the direct relationship between moles and atoms in chemistry, assisting in a broad range of calculations including stoichiometry and molecular weight.

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