Final answer:
To find the number of cobalt atoms in 33.4 grams of cobalt, you calculate the moles of cobalt using the atomic mass and then multiply by Avogadro's number, resulting in approximately 3.41 × 1023 atoms.
Step-by-step explanation:
To determine how many cobalt atoms are in 33.4 grams of cobalt, we need to use Avogadro's number and the atomic mass of cobalt. The atomic mass of cobalt is approximately 58.93 grams per mole. Avogadro's number, which is 6.02 × 1023 atoms/mol, tells us the number of atoms in one mole of a substance.
First, calculate the number of moles of cobalt in 33.4 grams:
Number of moles of Co = mass of Co (g) / atomic mass of Co (g/mol) = 33.4 g / 58.93 g/mol
Using this calculation, we find that there are approximately 0.566 moles of Co in 33.4 grams. To find the total number of atoms, multiply the number of moles by Avogadro's number:
Number of cobalt atoms = 0.566 moles × 6.02 × 1023 atoms/mol
Thus, there are approximately 3.41 × 1023 cobalt atoms in 33.4 grams of Co.