Here's how to figure out the number of carbon atoms in one mole of methane (CH4):

* Avogadro's Number: One mole of any substance contains 6.022 x 10^23 particles (atoms, molecules, etc.).

* Methane's Formula: Methane (CH4) has one carbon atom per molecule.

Calculation:

Since there's one carbon atom per methane molecule, one mole of methane contains 6.022 x 10^23 carbon atoms.

Therefore, the value representing the number of carbon atoms in one mole of methane is 6.022 x 10^23.