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  • Calculating Moles from Atoms: A Step-by-Step Guide
    To calculate the number of moles in 5.0 x 10^25 atoms of iron, we can use Avogadro's number, which is approximately 6.022 x 10^23 atoms per mole. Avogadro's number represents the number of atoms or molecules present in one mole of a substance.

    We can set up a proportion to find the number of moles:

    (Number of moles of iron) / (Number of atoms of iron) = (1 mole) / (6.022 x 10^23 atoms)

    Substituting the given number of atoms (5.0 x 10^25 atoms) into the equation:

    (Number of moles of iron) / (5.0 x 10^25 atoms) = (1 mole) / (6.022 x 10^23 atoms)

    Solving for the number of moles of iron:

    (Number of moles of iron) = (5.0 x 10^25 atoms) * (1 mole / 6.022 x 10^23 atoms)

    (Number of moles of iron) ≈ 8.30 moles

    Therefore, there are approximately 8.30 moles in 5.0 x 10^25 atoms of iron.

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