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  • Calculating Sulfur Atoms in Allicin: A Step-by-Step Guide
    Here's how to solve this problem:

    1. Understand the Formula:

    * Allicin has the chemical formula C₆H₁₀OS₂. This tells us there are two sulfur (S) atoms in each molecule of allicin.

    2. Convert Milligrams to Grams:

    * 7.00 mg = 0.00700 g

    3. Calculate the Molar Mass of Allicin:

    * C: 6 atoms * 12.01 g/mol = 72.06 g/mol

    * H: 10 atoms * 1.01 g/mol = 10.10 g/mol

    * O: 1 atom * 16.00 g/mol = 16.00 g/mol

    * S: 2 atoms * 32.07 g/mol = 64.14 g/mol

    * Total molar mass of allicin = 162.30 g/mol

    4. Calculate the Moles of Allicin:

    * moles = mass / molar mass

    * moles = 0.00700 g / 162.30 g/mol = 4.31 x 10⁻⁵ mol

    5. Calculate the Number of S Atoms:

    * We know there are 2 S atoms per molecule of allicin.

    * Use Avogadro's number (6.022 x 10²³ molecules/mol) to convert moles to molecules.

    * Then multiply by the number of S atoms per molecule.

    * Number of S atoms = (4.31 x 10⁻⁵ mol allicin) * (6.022 x 10²³ molecules/mol) * (2 S atoms/molecule)

    * Number of S atoms ≈ 5.19 x 10¹⁹ S atoms

    Therefore, approximately 5.19 x 10¹⁹ S atoms are present in 7.00 mg of allicin.

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