Calculating the Number of Atoms in 6.28 Moles of Aluminum

How many atoms are in 6.28 moles of aluminum?

Can you determine the number of atoms in 6.28 moles of aluminum?

Answer:

There are approximately 3.78 x 10^24 atoms in 6.28 moles of aluminum.

To determine the number of atoms in 6.28 moles of aluminum, we can use Avogadro's number, which states that there are approximately 6.022 x 10^23 atoms in one mole of any substance.

First, let's calculate the number of moles of aluminum using the given quantity:

Number of moles = Mass / Molar mass

The molar mass of aluminum is approximately 26.98 grams/mol.

Mass = Number of moles × Molar mass = 6.28 moles × 26.98 grams/mol ≈ 169.5944 grams

Next, we can calculate the number of atoms:

Number of atoms = Number of moles × Avogadro's number

Number of atoms = 6.28 moles × (6.022 x 10^23 atoms/mol) ≈ 3.78 x 10^24 atoms

Therefore, there are approximately 3.78 x 10^24 atoms in 6.28 moles of aluminum.