Final answer:
To find the number of atoms in 3.3 mol of carbon, divide the mass of the carbon by the molar mass and Avogadro's number. The result is approximately 1.997 × 10²⁴ atoms.
Step-by-step explanation:
To determine the number of atoms in 3.3 mol of carbon, we can use Avogadro's number, which states that 1 mole of a substance contains 6.022 × 10²³ particles (atoms, molecules, ions, etc.). Since the molar mass of carbon is 12.011 g/mol, we can calculate the mass of 3.3 mol of carbon:
Mass = 3.3 mol * 12.011 g/mol = 39.6333 g
Then, using the molar mass, we can find the number of carbon atoms:
Number of atoms = Mass / (Molar mass * Avogadro's number)
Number of atoms = 39.6333 g / (12.011 g/mol * 6.022 × 10²³ atoms/mol) ≈ 1.997 × 10²⁴ atoms