How many moles of SO_2 contain 8.02 × 10^{21} atoms of oxygen?

• A. 0.012 moles
• B. 0.33 moles
• C. 0.134 moles
• D. 0.067 moles

Answer: (D)

Verified step by step guidance

1. Identify the number of oxygen atoms in one molecule of sulfur dioxide (SO\_2). Since SO\_2 contains 2 oxygen atoms per molecule, each mole of SO\_2 contains 2 moles of oxygen atoms.
2. Use Avogadro's number, which is approximately 6.022 \times 10^{23} atoms per mole, to relate the number of oxygen atoms to moles of oxygen atoms.
3. Calculate the number of moles of oxygen atoms given the number of oxygen atoms: moles of oxygen atoms = \frac{8.02 \times 10^{21} \text{ atoms}}{6.022 \times 10^{23} \text{ atoms/mole}}.
4. Since each mole of SO\_2 contains 2 moles of oxygen atoms, find the moles of SO\_2 by dividing the moles of oxygen atoms by 2: moles of SO\_2 = \frac{\text{moles of oxygen atoms}}{2}.
5. This final value will give you the number of moles of SO\_2 that contain 8.02 \times 10^{21} oxygen atoms.