How many atoms of hydrogen are present in 2.00 moles of methane (CH_4)?

• A. 4.82 × 10^{24} atoms
• B. 6.02 × 10^{23} atoms
• C. 1.20 × 10^{24} atoms
• D. 2.41 × 10^{24} atoms

Answer: (A)

Verified step by step guidance

1. Identify the molecular formula of methane, which is CH_4. This means each molecule of methane contains 4 hydrogen atoms.
2. Determine the number of moles of methane given, which is 2.00 moles.
3. Recall Avogadro's number, which is \$6.02 \times 10^{23}$ molecules per mole. This number tells us how many molecules are in one mole of any substance.
4. Calculate the total number of methane molecules in 2.00 moles by multiplying the moles by Avogadro's number: \$2.00 \text{ moles} \times 6.02 \times 10^{23} \text{ molecules/mole}$.
5. Multiply the total number of methane molecules by the number of hydrogen atoms per molecule (4) to find the total number of hydrogen atoms: \(\text{total molecules} \times 4\).