Recall that one mole of any substance contains Avogadro's number of particles (atoms, molecules, etc.), which is approximately \(6.022 \times 10^{23}\) particles per mole.
Identify the quantity given in the problem: 3 moles of carbon atoms.
To find the total number of atoms, multiply the number of moles by Avogadro's number using the formula: \(\text{Number of atoms} = \text{moles} \times 6.022 \times 10^{23}\).
Substitute the given values into the formula: \(\text{Number of atoms} = 3 \times 6.022 \times 10^{23}\).
Perform the multiplication to find the total number of atoms present in 3 moles of carbon.