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  • Calculating Moles from Atoms: A Step-by-Step Guide
    Here's how to solve this:

    Understanding the Key Concept

    * Avogadro's Number: One mole of any substance contains 6.022 x 10^23 particles (atoms, molecules, etc.). This is Avogadro's number.

    Calculation

    1. Set up a conversion factor:

    (1 mole Al / 6.022 x 10^23 atoms Al)

    2. Multiply the given number of atoms by the conversion factor:

    (5.2 x 10^24 atoms Al) * (1 mole Al / 6.022 x 10^23 atoms Al)

    3. Cancel out the units of "atoms Al" and perform the calculation:

    (5.2 / 6.022) moles Al ≈ 0.863 moles Al

    Answer: 5.2 x 10^24 atoms of aluminum represent approximately 0.863 moles of aluminum.

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