Select correct statement for `BrF_(5)`.

Options

A. All fluorine atoms are in same plane
B. Four fluorine atoms and Br atom is in same plane.
C. Four fluorine atoms are in same plane
D. It has all F-Br-F bond angles at `90^(@)`.

Answer

To solve the question regarding the correct statement for \( \text{BrF}_5 \), let's break it down step by step.

### Step 1: Determine the Hybridization of \( \text{BrF}_5 \)

1. **Count the Valence Electrons:**
- Bromine (Br) has 7 valence electrons.
- Each fluorine (F) atom contributes 1 valence electron. Since there are 5 fluorine atoms, they contribute \( 5 \times 1 = 5 \) electrons.
- Total valence electrons = \( 7 + 5 = 12 \).

2. **Calculate the Hybridization:**
- The formula for hybridization is:
\[ \text{Hybridization} = \frac{\text{(Valence electrons + Monovalent atoms + Cations + Anions)}}{2} \]
- Here, there are no cations or anions, and the monovalent atoms (the fluorine atoms) are 5.
- Therefore, the calculation is:
\[ \text{Hybridization} = \frac{7 + 5 + 0 + 0}{2} = \frac{12}{2} = 6 \]
- This indicates \( \text{sp}^3\text{d}^2 \) hybridization.

### Step 2: Determine the Molecular Geometry

1. **Identify the Geometry:**
- With \( \text{sp}^3\text{d}^2 \) hybridization and one lone pair, the molecular geometry is octahedral.
- In an octahedral arrangement, 4 fluorine atoms will occupy the equatorial positions (in the same plane), and 1 fluorine atom will occupy an axial position (above or below the plane).

### Step 3: Analyze the Statements

1. **Statement A: All fluorine atoms are in the same plane.**
- This is **incorrect** because one fluorine is in an axial position.

2. **Statement B: Four fluorine atoms and Br atom are in the same plane.**
- This is **correct** because the four equatorial fluorine atoms and the bromine atom are in the same plane.

3. **Statement C: Four fluorine atoms are in the same plane, but Br is also in the same plane.**
- This is **incorrect** as it suggests that the bromine is not in the same plane as the four fluorine atoms, which is not the case.

4. **Statement D: All F-Br-F angles are 90 degrees.**
- This is **incorrect** because the axial fluorine atoms have a 180-degree angle with the equatorial fluorine atoms.

### Conclusion

The correct statement for \( \text{BrF}_5 \) is:
- **B: Four fluorine atoms and Br atom are in the same plane.**