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  • Silicon Mass Calculation: Atoms to Grams - A Step-by-Step Guide
    To calculate the number of grams of silicon, we need to know the molar mass of silicon and the number of moles of silicon in the sample.

    The molar mass of silicon (Si) is 28.0855 grams per mole (g/mol). This means that one mole of silicon weighs 28.0855 grams.

    To find the number of moles of silicon in the sample, we can use the following formula:

    Number of moles = Number of atoms / Avogadro's number

    Avogadro's number is a constant that represents the number of atoms or molecules in one mole of a substance. Its value is approximately 6.022 x 10^23.

    So, the number of moles of silicon in the sample is:

    Number of moles = 9.99 x 10^52 atoms / 6.022 x 10^23 atoms/mole

    = 1.660 x 10^29 moles

    Now, we can calculate the mass of silicon in the sample by multiplying the number of moles by the molar mass of silicon:

    Mass of silicon = Number of moles x Molar mass

    = 1.660 x 10^29 moles x 28.0855 g/mol

    = 4.677 x 10^30 grams

    Therefore, there would be approximately 4.677 x 10^30 grams of silicon in a sample that contained 9.99 x 10^52 atoms.

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