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Multiple Choice
How many carbon atoms are present in 1.00 mole of methane (CH_4)?
A
6.022 × 10^{23} carbon atoms
B
3.01 × 10^{23} carbon atoms
C
1.00 × 10^{24} carbon atoms
D
2.41 × 10^{24} carbon atoms
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Verified step by step guidance
1
Identify the chemical formula of methane, which is CH_4. This means each molecule of methane contains 1 carbon atom.
Recall that 1 mole of any substance contains Avogadro's number of entities (atoms, molecules, etc.), which is approximately \(6.022 \times 10^{23}\).
Since 1 mole of methane contains \(6.022 \times 10^{23}\) molecules, and each molecule has 1 carbon atom, the number of carbon atoms in 1 mole of methane is equal to Avogadro's number.
Write the expression for the number of carbon atoms: Number of carbon atoms = (number of molecules) \(\times\) (carbon atoms per molecule) = \(6.022 \times 10^{23} \times 1\).
Conclude that the number of carbon atoms in 1 mole of methane is \(6.022 \times 10^{23}\) carbon atoms.