Final answer:
To find how many moles are in 4.6 x 10²⁴ sulfur atoms, divide the number of atoms by Avogadro's number (6.022 x 10²³ atoms/mole), resulting in approximately 7.64 moles.
Step-by-step explanation:
To calculate how many moles are present in 4.6 x 10²⁴ sulfur atoms, we must use Avogadro's number, which is 6.022 x 10²³ atoms per mole. This constant allows us to convert between the number of atoms and the number of moles.
Firstly, we divide the total number of sulfur atoms by Avogadro's number to find the moles:
Number of moles = (Number of atoms) / (Avogadro's number)
Number of moles = (4.6 x 10²⁴ atoms) / (6.022 x 10²³ atoms/mole)
By performing this division, we obtain:
Number of moles = 7.64 moles (approximately)
This calculation shows that there are about 7.64 moles of sulfur in 4.6 x 10²⁴ sulfur atoms. It is a straightforward application of Avogadro's number, which is a fundamental concept in chemistry for relating the number of particles to a quantity that can be measured experimentally.