How many atoms are present in one mole of Al_2O_3?

• A. 6.02 \times 10^{23} atoms
• B. 1.81 \times 10^{24} atoms
• C. 2.41 \times 10^{24} atoms
• D. 5 atoms

Answer: (C)

Verified step by step guidance

1. Identify the chemical formula of aluminum oxide, which is \(\mathrm{Al_2O_3}\). This means each formula unit contains 2 aluminum atoms and 3 oxygen atoms.
2. Calculate the total number of atoms in one formula unit by adding the number of aluminum and oxygen atoms: \$2 + 3 = 5$ atoms per formula unit.
3. Recall that one mole of any substance contains Avogadro's number of formula units, which is \$6.02 \times 10^{23}$ units.
4. Multiply the number of atoms per formula unit by Avogadro's number to find the total number of atoms in one mole of \(\mathrm{Al_2O_3}\): \$5 \times 6.02 \times 10^{23}$ atoms.
5. Express the result in scientific notation to get the total number of atoms present in one mole of \(\mathrm{Al_2O_3}\).