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 hydroger atoms are there? Show your work.

To determine the number of hydrogen atoms in 114 water molecules, let's break down the problem step by step. ### Understanding the Composition of a Water Molecule A water molecule (H₂O) is composed of: - **2 hydrogen (H) atoms** - **1 oxygen (O) atom** This means each water molecule has a total of **3 atoms**, where: - **One-third (1/3)** of the atoms are oxygen. - **Two-thirds (2/3)** of the atoms are hydrogen. ### Step-by-Step Solution 1. **Determine the Number of Hydrogen Atoms in One Water Molecule:** Since one-third of the atoms in a water molecule are oxygen, the remaining two-thirds must be hydrogen. - **Total atoms per water molecule:** 3 - **Hydrogen atoms per water molecule:** \( \frac{2}{3} \times 3 = 2 \) hydrogen atoms 2. **Calculate the Total Number of Hydrogen Atoms in 114 Water Molecules:** - **Hydrogen atoms per molecule:** 2 - **Number of molecules:** 114 \( \text{Total hydrogen atoms} = \text{Hydrogen atoms per molecule} \times \text{Number of molecules} \) \( \text{Total hydrogen atoms} = 2 \times 114 = 228 \) ### **Answer:** There are **228 hydrogen atoms** in 114 water molecules.