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  • Calculating Atoms in a Given Mass of Aluminum: A Step-by-Step Guide
    You're asking about the number of atoms in a very small amount of aluminum (Al). Here's how to solve this:

    1. Understand Avogadro's Number:

    * Avogadro's number is a fundamental constant that represents the number of atoms or molecules in one mole of a substance.

    * It's approximately 6.022 x 10^23 entities per mole.

    2. Convert Mass to Moles:

    * Molar Mass of Aluminum: The molar mass of aluminum is 26.98 g/mol. This means one mole of aluminum weighs 26.98 grams.

    * Conversion:

    * 4.1 x 10^-5 g Al * (1 mol Al / 26.98 g Al) = 1.52 x 10^-6 mol Al

    3. Calculate Number of Atoms:

    * Multiply by Avogadro's Number:

    * 1.52 x 10^-6 mol Al * (6.022 x 10^23 atoms Al / 1 mol Al) = 9.16 x 10^17 atoms Al

    Therefore, there are approximately 9.16 x 10^17 atoms of aluminum in 4.1 x 10^-5 grams of aluminum.

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