Final answer:
There are 7.95 x 10²³ atoms of carbon in 47.6g of Al₂(CO₃)₃.
Step-by-step explanation:
To calculate the number of atoms of carbon in 47.6g of Al₂(CO₃)₃, we need to use the molar mass of Al(CO₃)₃ and the molar mass of carbon. The molar mass of Al(CO₃)₃ is 233.99 g/mol. Since there are three carbon atoms in one Al₂(CO₃)₃ molecule, the molar mass of carbon in Al₂(CO₃)₃ is (12.011 g/mol) x 3 = 36.033 g/mol. To find the number of moles of carbon in 47.6g of Al₂(CO₃)₃, we divide the mass by the molar mass: 47.6g / 36.033 g/mol = 1.32 mol. Finally, we can use Avogadro's number to calculate the number of atoms of carbon: 1.32 mol x 6.022 x 10²³ atoms/mol = 7.95 x 10²³ atoms.