To find the amount of cobalt that has the same number of atoms as 224 g of iron, we first need to determine the number of moles of iron in 224 g.
Iron (Fe) has a molar mass of approximately 55.85 g/mol. Using the formula:
Moles of Fe = Mass of Fe / Molar Mass of Fe
we can calculate:
Moles of Fe = 224 g / 55.85 g/mol ≈ 4.01 mol.
Now, since we want to find the mass of cobalt (Co) that has the same number of moles, we need to know the molar mass of cobalt, which is approximately 58.93 g/mol.
Using the number of moles we calculated above, we can find the mass of cobalt:
Mass of Co = Moles of Co × Molar Mass of Co
Substituting the values:
Mass of Co = 4.01 mol × 58.93 g/mol ≈ 236 g.
Thus, the amount of cobalt that has the same number of atoms as 224 g of iron is approximately 236 grams.