Questions: How many carbon atoms are present in one mole of serotonin? C10 H12 N2 O 1.2 × 10^24 atoms 6.02 × 10^23 atoms 7.2 × 10^24 atoms 6.02 × 10^24 atoms

How many carbon atoms are present in one mole of serotonin? C10 H12 N2 O 1.2 × 10^24 atoms 6.02 × 10^23 atoms 7.2 × 10^24 atoms 6.02 × 10^24 atoms
Transcript text: Q admin190a.acellus.com Final Exam How many carbon atoms are present in one mole of serotonin? \[ \mathrm{C}_{10} \mathrm{H}_{12} \mathrm{~N}_{2} \mathrm{O} \] $1.2 \times 10^{24}$ atoms $6.02 \times 10^{23}$ atoms $7.2 \times 10^{24}$ atoms $6.02 \times 10^{24}$ atoms
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Solution

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Solution Steps

Step 1: Identify the molecular formula of serotonin

The molecular formula of serotonin is given as: \[ \mathrm{C}_{10} \mathrm{H}_{12} \mathrm{~N}_{2} \mathrm{O} \]

Step 2: Determine the number of carbon atoms in one molecule of serotonin

From the molecular formula, we see that one molecule of serotonin contains 10 carbon atoms.

Step 3: Calculate the number of carbon atoms in one mole of serotonin

One mole of any substance contains Avogadro's number of molecules, which is \(6.022 \times 10^{23}\) molecules. Therefore, one mole of serotonin contains: \[ 10 \times 6.022 \times 10^{23} = 6.022 \times 10^{24} \text{ carbon atoms} \]

Final Answer

\[ \boxed{6.022 \times 10^{24} \text{ atoms}} \]

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