Molecular shape of `XeF_(2), BeF_(2) and CF_(2)` are :

Options

A. the same, with 3, 0 and 0 lone pair of electrons respectively
B. the same, with 3, 1 and 0 lone pair of electrons respectively
C. different, with 0, 1 and 2 lone pair of electrons respectively
D. different, with 3, 0 and 1 lone pair of electrons respectively

Explanation

To determine the molecular shapes of `XeF2`, `BeF2`, and `CF2`, we will analyze each molecule step by step based on their electronic configurations, hybridization, and molecular geometry.

### Step 1: Analyze `XeF2`
1. **Valence Electrons**: Xenon (Xe) has the electronic configuration of `5s² 5p⁶`, which means it has 8 valence electrons.
2. **Hybridization**: In `XeF2`, xenon can utilize its d-orbitals for bonding. It undergoes hybridization to form `sp³d` hybrid orbitals.
3. **Geometry**: The geometry of `XeF2` is trigonal bipyramidal. According to VSEPR theory, the three lone pairs will occupy the equatorial positions, while the two fluorine atoms will occupy the axial positions.
4. **Molecular Shape**: The molecular shape of `XeF2` is linear due to the arrangement of the fluorine atoms.

### Step 2: Analyze `BeF2`
1. **Valence Electrons**: Beryllium (Be) has the electronic configuration of `1s² 2s²`, which means it has 2 valence electrons.
2. **Hybridization**: Beryllium uses its `2s` and one of its `2p` orbitals to form `sp` hybrid orbitals.
3. **Geometry**: The geometry of `BeF2` is linear because there are no lone pairs on beryllium, and the two fluorine atoms are arranged 180 degrees apart.
4. **Molecular Shape**: The molecular shape of `BeF2` is also linear.

### Step 3: Analyze `CF2`
1. **Valence Electrons**: Carbon (C) has the electronic configuration of `1s² 2s² 2p²`, which means it has 4 valence electrons.
2. **Hybridization**: Carbon undergoes hybridization to form `sp²` hybrid orbitals, using one of its `2p` orbitals for bonding.
3. **Geometry**: The geometry of `CF2` is trigonal planar due to the arrangement of the three regions of electron density (two fluorine atoms and one lone pair).
4. **Molecular Shape**: The molecular shape of `CF2` is bent (or V-shaped) because of the presence of one lone pair.

### Summary of Molecular Shapes
- **`XeF2`**: Linear shape, trigonal bipyramidal geometry (3 lone pairs).
- **`BeF2`**: Linear shape, linear geometry (0 lone pairs).
- **`CF2`**: Bent shape, trigonal planar geometry (1 lone pair).

### Final Answer
The molecular shapes of `XeF2`, `BeF2`, and `CF2` are linear, linear, and bent respectively.

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