1. Understand the Formula

* CH4 represents methane, a molecule containing 1 carbon atom and 4 hydrogen atoms.

2. Avogadro's Number

* Avogadro's number tells us that 1 mole of any substance contains 6.022 x 10^23 particles (atoms, molecules, etc.).

3. Calculate Atoms of Hydrogen per Mole of Methane

* Since there are 4 hydrogen atoms per methane molecule, 1 mole of methane contains 4 moles of hydrogen atoms.

4. Calculate Total Atoms of Hydrogen

* You have 3 moles of methane, and each mole contains 4 moles of hydrogen atoms.

* Total moles of hydrogen: 3 moles CH4 * (4 moles H / 1 mole CH4) = 12 moles H

* Total atoms of hydrogen: 12 moles H * (6.022 x 10^23 atoms H / 1 mole H) = 7.226 x 10^24 atoms H

Therefore, there are 7.226 x 10^24 atoms of hydrogen in 3 moles of CH4.