Final answer:
To calculate the number of sulfur molecules in 3 grams of sulfur, you divide the mass of sulfur by its molar mass to find the number of moles, then multiply by Avogadro's number. There are approximately 5.64 x 10^22 sulfur molecules in 3 grams of sulfur.
Step-by-step explanation:
To find the number of sulfur molecules in 3 grams of sulfur, we need to use Avogadro's number and the molar mass of sulfur.
One mole of sulfur has a mass of 32 amu (atomic mass units), which is equivalent to 32 grams per mole. Avogadro's number tells us that one mole of any substance contains exactly 6.02 x 1023 molecules.
Therefore, to calculate the number of molecules in 3 grams of sulfur:
- Calculate the number of moles in 3 grams:
Number of moles = mass (g) / molar mass (g/mol) = 3 g / 32 g/mol = 0.09375 moles.
- Use Avogadro's number to find the number of molecules:
Number of molecules = number of moles x Avogadro's number = 0.09375 moles x 6.02 x 1023 molecules/mole.
So there are approximately 5.64 x 1022 sulfur molecules in 3 grams of sulfur.