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.