Question

how many carbon atoms are present in one mole of serotonin? c₁₀h₁₂n₂o 6.02×10²⁴ atoms 6.02×10²³ atoms 7.2×10²⁴ atoms 1.2×10²⁴ atoms

Explanation:

Step1: Determine the number of carbon atoms in one molecule

From the formula \(C_{10}H_{12}N_2O\), there are 10 carbon (\(C\)) atoms in one molecule of serotonin.

Step2: Use Avogadro's number

Avogadro's number \(N_A = 6.02\times10^{23}\) molecules per mole.
For one mole of serotonin, the number of carbon atoms \(N = 10\times N_A\).
Substitute \(N_A = 6.02\times10^{23}\) into the formula: \(N=10\times6.02\times 10^{23}\).
Using the rule of exponents \(a^m\times a^n=a^{m + n}\), we have \(N = 6.02\times10^{24}\) atoms.

Answer:

\(6.02\times 10^{24}\) atoms