Which structure for `XeO_3` and `XeF_4` are consistent with the VSEPR model

Options

A. `XeO_(3)`, trigonal pyramidal , `XeF_(4)`, square planar
B. `XeO_(3)`, trigonal planar, `XeF_(4)` square planar
C. `XeO_(3)` trigonal pyramidal , `XeF_(4)` tetrahedral
D. `XeO_(3)`, trigonal planar , `XeF_(4)` tetrahedral

Explanation

To determine the structures of \( \text{XeO}_3 \) and \( \text{XeF}_4 \) that are consistent with the VSEPR (Valence Shell Electron Pair Repulsion) model, we will follow these steps:

### Step 1: Determine the Valence Electrons
- **For \( \text{XeO}_3 \)**: Xenon (Xe) has 8 valence electrons, and each oxygen (O) has 6 valence electrons. Thus, for \( \text{XeO}_3 \):
\[ \text{Total valence electrons} = 8 + (3 \times 6) = 26 \text{ electrons} \]

- **For \( \text{XeF}_4 \)**: Each fluorine (F) has 7 valence electrons. Thus, for \( \text{XeF}_4 \):
\[ \text{Total valence electrons} = 8 + (4 \times 7) = 36 \text{ electrons} \]

### Step 2: Draw the Lewis Structures
- **For \( \text{XeO}_3 \)**:
- Place xenon in the center and bond it to three oxygen atoms.
- Distribute the remaining electrons to satisfy the octet rule for oxygen.
- The structure will show that xenon has one lone pair and three bonding pairs, leading to a trigonal pyramidal shape.

- **For \( \text{XeF}_4 \)**:
- Place xenon in the center and bond it to four fluorine atoms.
- Distribute the remaining electrons. Xenon will have two lone pairs in addition to the four bonding pairs, resulting in a square planar shape.

### Step 3: Determine Hybridization and Molecular Geometry
- **For \( \text{XeO}_3 \)**:
- The presence of three bonding pairs and one lone pair leads to sp³ hybridization.
- The molecular geometry is trigonal pyramidal.

- **For \( \text{XeF}_4 \)**:
- The presence of four bonding pairs and two lone pairs leads to sp³d² hybridization.
- The molecular geometry is square planar.

### Conclusion
- The structure of \( \text{XeO}_3 \) is trigonal pyramidal, and the structure of \( \text{XeF}_4 \) is square planar, both of which are consistent with the VSEPR model.

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