Given that the atomic mass of sulfur (S) is approximately 32.07 g/mol, what is the mass of exactly 500 sulfur atoms?

• A. 8.30 × 10^{-19} g
• B. 3.01 × 10^{-22} g
• C. 1.50 × 10^{-21} g
• D. 2.66 × 10^{-20} g

Answer: (D)

Verified step by step guidance

1. Identify the given information: the atomic mass of sulfur (S) is 32.07 g/mol, and you need to find the mass of exactly 500 sulfur atoms.
2. Recall that 1 mole of any element contains Avogadro's number of atoms, which is approximately \$6.022 \times 10^{23}$ atoms/mol.
3. Calculate the number of moles corresponding to 500 sulfur atoms using the formula: \(\text{moles} = \frac{\text{number of atoms}}{\text{Avogadro's number}} = \frac{500}{6.022 \times 10^{23}}\).
4. Use the atomic mass to find the mass of the 500 atoms by multiplying the moles by the molar mass: \(\text{mass} = \text{moles} \times 32.07 \text{ g/mol}\).
5. Express the final mass in grams, and compare it to the given options to identify the correct answer.