Final answer:
The number of moles of silicon when you start with 5.84 x 10^24 atoms of silicon is 9.70 moles, calculated using Avogadro's number.
Step-by-step explanation:
To calculate the number of moles of silicon (Si) given 5.84 x 1024 atoms of silicon, we use Avogadro's number, which is 6.022 x 1023 atoms/mol. This conversion factor relates the number of atoms to the number of moles in a substance.
The moles of silicon can be found using the formula:
moles of Si = number of atoms of Si / Avogadro's number
moles of Si = 5.84 x 1024 atoms / 6.022 x 1023 atoms/mol
This computation yields:
moles of Si = 9.70 moles