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Multiple Choice
How many carbon atoms are present in 5 moles of ethane (C_2H_6)?
A
6.02 \(\times\) 10^{24} \(\text{ atoms}\)
B
6.02 \(\times\) 10^{24}
C
1.20 \(\times\) 10^{25} \(\text{ atoms}\)
D
3.01 \(\times\) 10^{24}
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Verified step by step guidance
1
Identify the molecular formula of ethane, which is \(C_2H_6\), meaning each molecule contains 2 carbon atoms.
Determine the number of moles of ethane given, which is 5 moles.
Recall Avogadro's number, \(6.02 \times 10^{23}\) molecules per mole, which tells us how many molecules are in one mole of a substance.
Calculate the total number of ethane molecules by multiplying the number of moles by Avogadro's number: \(5 \text{ moles} \times 6.02 \times 10^{23} \text{ molecules/mole}\).
Multiply the total number of ethane molecules by the number of carbon atoms per molecule (2) to find the total number of carbon atoms: \(\text{total molecules} \times 2\).