How many moles of carbon are present in 4.1 × 10^{24} atoms of carbon?

• A. 9.8 moles
• B. 6.8 moles
• C. 1.5 moles
• D. 0.68 moles

Answer: (B)

Verified step by step guidance

1. Identify the given quantity: 4.1 \times 10^{24} atoms of carbon.
2. Recall the relationship between atoms and moles: 1 mole of any substance contains Avogadro's number of atoms, which is approximately 6.022 \times 10^{23} atoms/mole.
3. Set up the conversion to find moles from atoms using the formula: \(\text{moles} = \frac{\text{number of atoms}}{\text{Avogadro's number}}\).
4. Substitute the given values into the formula: \(\text{moles} = \frac{4.1 \times 10^{24}}{6.022 \times 10^{23}}\).
5. Perform the division to calculate the number of moles of carbon atoms present.