1. Chemical Formula:

Carbon hydroxide is not a valid chemical formula. It's likely you're referring to carbonic acid, which has the formula H₂CO₃.

2. Moles to Atoms:

* Avogadro's number: There are 6.022 x 10²³ atoms (or molecules) in one mole of any substance.

* Hydrogen atoms per molecule: The formula H₂CO₃ tells us there are 2 hydrogen atoms in each molecule of carbonic acid.

3. Calculation:

* Step 1: Calculate the number of carbonic acid molecules in 0.180 moles:

0.180 moles * 6.022 x 10²³ molecules/mole = 1.084 x 10²³ molecules

* Step 2: Calculate the number of hydrogen atoms:

1.084 x 10²³ molecules * 2 hydrogen atoms/molecule = 2.168 x 10²³ hydrogen atoms

Therefore, there are approximately 2.168 x 10²³ hydrogen atoms in 0.180 moles of carbonic acid (H₂CO₃).