Which of the following will not displace the halogen from the solution of the halide?

Options

A. `Br_(2)` added to Nal
B. `Br_(2)` added to NaCl
C. `Cl_(2)` added to KCl
D. `Cl_(2)` added to NaF

Answer

To solve the question of which halogen will not displace the halide from the solution of the halide, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Concept of Displacement Reactions**:
Displacement reactions occur when a more reactive halogen displaces a less reactive halogen from its compound. The reactivity of halogens decreases from fluorine to iodine.

2. **Identify the Halogens in the Options**:
The halogens mentioned in the question are likely to be fluorine (F), chlorine (Cl), bromine (Br), and iodine (I).

3. **Analyze Each Option**:
- **Option A: Br2 added to NaI**:
- Bromine (Br) is more reactive than iodine (I). Therefore, Br2 can displace I from NaI.
- **Option B: Br2 added to NaCl**:
- Chlorine (Cl) is more reactive than bromine (Br). Therefore, Br2 cannot displace Cl from NaCl.
- **Option C: Cl2 added to KCl**:
- Since both are chlorine, there is no displacement. However, Cl2 cannot displace Cl from KCl as they are the same.
- **Option D: Cl2 added to NaF**:
- Fluorine (F) is more reactive than chlorine (Cl). Therefore, Cl2 cannot displace F from NaF.

4. **Conclusion**:
The halogens that will not displace the halide from the solution are **Option B (Br2 + NaCl)** and **Option D (Cl2 + NaF)**.

### Final Answer:
The correct options that will not displace the halogen from the solution of the halide are **B and D**.