Identify the given information: mass of carbon (C) is 5.50 g.
Recall the molar mass of carbon, which is approximately 12.01 g/mol. This tells us how many grams are in one mole of carbon atoms.
Calculate the number of moles of carbon in 5.50 g using the formula: \(\text{moles} = \frac{\text{mass}}{\text{molar mass}} = \frac{5.50}{12.01}\).
Use Avogadro's number, \(6.022 \times 10^{23}\) atoms/mol, to convert moles of carbon to number of atoms: \(\text{atoms} = \text{moles} \times 6.022 \times 10^{23}\).
Combine the calculations from steps 3 and 4 to find the total number of carbon atoms in 5.50 g.