1. Convert the mass of carbon from milligrams (mg) to grams (g):
55 mg = 0.055 g
2. Calculate the number of moles of carbon using the molar mass of carbon (C = 12.01 g/mol):
Moles of carbon = mass / molar mass
Moles of carbon = 0.055 g / 12.01 g/mol
Moles of carbon = 0.00458 mol
3. Multiply the number of moles of carbon by Avogadro's number to obtain the number of atoms:
Number of atoms = moles × Avogadro's number
Number of atoms = 0.00458 mol × 6.022 x 10^23 atoms/mol
Number of atoms = 2.76 x 10^22 atoms
Therefore, there are approximately 2.76 x 10^22 atoms in 55mg of carbon.