1. Understand the Formula:

* Silicon dioxide has the chemical formula SiO₂. This means each molecule of silicon dioxide contains one silicon atom (Si) and two oxygen atoms (O).

2. Avogadro's Number:

* Avogadro's number tells us the number of particles (atoms, molecules, etc.) in one mole of a substance. It's approximately 6.022 x 10²³ particles/mole.

3. Calculation:

* Step 1: Calculate the number of silicon dioxide molecules:

0.100 moles SiO₂ * (6.022 x 10²³ molecules SiO₂ / 1 mole SiO₂) = 6.022 x 10²² molecules SiO₂

* Step 2: Calculate the number of oxygen atoms:

(6.022 x 10²² molecules SiO₂) * (2 oxygen atoms / 1 molecule SiO₂) = 1.2044 x 10²³ oxygen atoms

Answer: There are approximately 1.2044 x 10²³ oxygen atoms in 0.100 moles of silicon dioxide.