A 30. gram sample of neon (Ne) is given. What is the total number of atoms present in this sample?

• A. 3.0 × 10^{24} atoms
• B. 9.0 × 10^{23} atoms
• C. 1.2 × 10^{24} atoms
• D. 6.0 × 10^{23} atoms

Answer: (B)

Verified step by step guidance

1. Identify the given information: the mass of the neon sample is 30 grams.
2. Recall the molar mass of neon (Ne), which is approximately 20.18 grams per mole. This value represents the mass of one mole of neon atoms.
3. Calculate the number of moles of neon in the sample using the formula: \(\text{moles} = \frac{\text{mass of sample}}{\text{molar mass}} = \frac{30 \, \text{g}}{20.18 \, \text{g/mol}}\).
4. Use Avogadro's number, \$6.022 \times 10^{23}\( atoms per mole, to convert moles to atoms: \)\text{number of atoms} = \text{moles} \times 6.022 \times 10^{23}$.
5. Combine the calculations from steps 3 and 4 to find the total number of atoms in the 30 gram neon sample.