What is the mass in grams of 1.00 \times 10^6 sodium atoms? (Atomic mass of Na = 22.99 g/mol)

• A. 2.29 \times 10^{-16} g
• B. 6.02 \times 10^{-17} g
• C. 3.82 \times 10^{-17} g
• D. 1.66 \times 10^{-18} g

Answer: (C)

Verified step by step guidance

1. Identify the given information: number of sodium atoms = \$1.00 \times 10^{6}$ atoms, and atomic mass of sodium (Na) = 22.99 g/mol.
2. Recall that 1 mole of any element contains Avogadro's number of atoms, which is \$6.022 \times 10^{23}$ atoms/mol.
3. Calculate the number of moles of sodium atoms by dividing the given number of atoms by Avogadro's number: \(\text{moles} = \frac{1.00 \times 10^{6} \text{ atoms}}{6.022 \times 10^{23} \text{ atoms/mol}}\).
4. Use the atomic mass to convert moles to grams: \(\text{mass (g)} = \text{moles} \times 22.99 \text{ g/mol}\).
5. Combine the steps to find the mass in grams of \$1.00 \times 10^{6}$ sodium atoms without calculating the final numerical value.