1. Understand the Chemical Formula:

* Carbon dioxide has the chemical formula CO₂. This means each molecule contains one carbon atom (C) and two oxygen atoms (O).

2. Moles and Avogadro's Number:

* One mole of any substance contains 6.022 x 10²³ particles (atoms, molecules, etc.). This is Avogadro's number.

3. Calculation:

* Since there's one carbon atom per carbon dioxide molecule, 0.100 moles of carbon dioxide will contain 0.100 moles of carbon atoms.

Therefore, there are 0.100 moles of carbon in 0.100 moles of carbon dioxide.