A gold ring contains 1.806 × 10^{24} atoms of gold (Au). How many moles of gold are in the ring?

• A. 1.50 moles
• B. 6.02 moles
• C. 3.00 moles
• D. 0.30 moles

Answer: (C)

Verified step by step guidance

1. Identify the given information: the number of gold atoms in the ring is \$1.806 \times 10^{24}$ atoms.
2. Recall the relationship between moles and number of atoms, which is given by Avogadro's number: \$6.022 \times 10^{23}$ atoms per 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: \(\text{moles} = \frac{1.806 \times 10^{24}}{6.022 \times 10^{23}}\).
5. Perform the division to find the number of moles of gold in the ring.