22. enVision STEM A water molecule is made up of 3 atoms. One third of the atoms are oxygen, and the remaining atoms are hydrogen. If there are 114 water molecules, how many hydrogen atoms are there? Show your work.

To solve the problem, we need to determine the number of hydrogen atoms in 114 water molecules. 1. **Identify the composition of a water molecule:** - A water molecule (H₂O) consists of 2 hydrogen atoms and 1 oxygen atom. Therefore, each water molecule is made up of a total of 3 atoms. 2. **Calculate the total number of atoms in 114 water molecules:** \[ \text{Total atoms} = \text{Number of molecules} \times \text{Atoms per molecule} = 114 \times 3 \] 3. **Calculate the total number of atoms:** \[ \text{Total atoms} = 114 \times 3 = 342 \] 4. **Determine the number of oxygen and hydrogen atoms:** - According to the problem, one third of the atoms are oxygen. Therefore, the number of oxygen atoms is: \[ \text{Oxygen atoms} = \frac{1}{3} \times \text{Total atoms} = \frac{1}{3} \times 342 \] 5. **Calculate the number of oxygen atoms:** \[ \text{Oxygen atoms} = \frac{342}{3} = 114 \] 6. **Calculate the number of hydrogen atoms:** - The remaining atoms are hydrogen. Since there are 342 total atoms and 114 are oxygen, the number of hydrogen atoms is: \[ \text{Hydrogen atoms} = \text{Total atoms} - \text{Oxygen atoms} = 342 - 114 \] 7. **Calculate the number of hydrogen atoms:** \[ \text{Hydrogen atoms} = 342 - 114 = 228 \] Thus, the total number of hydrogen atoms in 114 water molecules is **228**.