To calculate the mass of a given number of carbon atoms, you need to know the molar mass of carbon and use Avogadro's number. Here's how you can calculate it:
Determine the molar mass of carbon: The molar mass of carbon is the mass of one mole of carbon atoms, which is equal to its atomic mass. The atomic mass of carbon is approximately 12.01 grams per mole (g/mol).
Determine the number of moles of carbon atoms: Divide the given number of carbon atoms by Avogadro's number, which is approximately 6.022 × 10^23 particles per mole. In this case, the given number is 12.044 × 10^23 carbon atoms.
Number of moles = (12.044 × 10^23) / (6.022 × 10^23)
Number of moles ≈ 2
Calculate the mass: Multiply the number of moles by the molar mass of carbon to obtain the mass.
Mass = Number of moles × Molar mass
Mass = 2 mol × 12.01 g/mol
Mass ≈ 24.02 grams
Therefore, the mass of 12.044 × 10^23 carbon atoms is approximately 24.02 grams.