To determine the number of atoms in a sample of iron (Fe), you need to use Avogadro's number, which states that there are 6.022 × 10^23 atoms in one mole of any substance.
First, you need to calculate the number of moles of iron in 560 g using its molar mass. The molar mass of iron is approximately 55.845 g/mol.
Number of moles of Fe = Mass of Fe / Molar mass of Fe Number of moles of Fe = 560 g / 55.845 g/mol Number of moles of Fe ≈ 10.01 mol
Next, you can use Avogadro's number to calculate the number of atoms:
Number of atoms = Number of moles × Avogadro's number Number of atoms ≈ 10.01 mol × 6.022 × 10^23 atoms/mol
Calculating this expression, we find:
Number of atoms ≈ 6.023 × 10^24 atoms
Therefore, there are approximately 6.023 × 10^24 atoms in 560 g of iron (Fe).