How many atoms are present in a 24 g sample of carbon (atomic mass = 12 g/mol)?

• A. 2.41 × 10^{23} atoms
• B. 6.02 × 10^{23} atoms
• C. 4.80 × 10^{24} atoms
• D. 1.20 × 10^{24} atoms

Answer: (D)

Verified step by step guidance

1. Identify the given information: mass of carbon sample = 24 g, atomic mass of carbon = 12 g/mol.
2. Calculate the number of moles of carbon in the sample using the formula: \(\text{moles} = \frac{\text{mass}}{\text{molar mass}}\).
3. Substitute the values: \(\text{moles} = \frac{24\ \text{g}}{12\ \text{g/mol}}\) to find the number of moles of carbon atoms.
4. Use Avogadro's number, \$6.022 \times 10^{23}\( atoms/mol, to convert moles to atoms with the formula: \)\text{number of atoms} = \text{moles} \times 6.022 \times 10^{23}$ atoms/mol.
5. Multiply the moles calculated in step 3 by Avogadro's number to find the total number of carbon atoms in the 24 g sample.