In which of the following solvents, KI has highest solubility?

Options

A. `C_(6)H_(6)(in=0)`
B. `(CH_(3))_(2)CO(in=2)`
C. `CH_(3)OH(in=32)`
D. `CCCl_(4)(in=0)`

Answer

To determine in which solvent KI (potassium iodide) has the highest solubility, we need to analyze the nature of each solvent provided and their dielectric constants. KI is an ionic compound, and ionic compounds are generally more soluble in polar solvents due to their ability to stabilize ions in solution.

### Step-by-Step Solution:

1. **Identify the nature of KI**:
- KI is an ionic compound composed of potassium (K⁺) and iodide (I⁻) ions.

2. **Understand solubility in relation to polarity**:
- Ionic compounds like KI are more soluble in polar solvents. The polar solvent can stabilize the ions when they dissociate.

3. **List the solvents and their properties**:
- **Solvent 1: C₆H₆ (Benzene)**
- Dielectric constant: 0
- Nature: Non-polar
- **Solvent 2: CH₃COCH₃ (Acetone)**
- Dielectric constant: 2
- Nature: Slightly polar
- **Solvent 3: CH₃OH (Methanol)**
- Dielectric constant: 32
- Nature: Polar
- **Solvent 4: CCl₄ (Carbon Tetrachloride)**
- Dielectric constant: 2
- Nature: Non-polar

4. **Evaluate each solvent**:
- **C₆H₆**: Non-polar, hence poor solubility for KI.
- **CH₃COCH₃**: Slightly polar, but with a low dielectric constant (2), so limited solubility for KI.
- **CH₃OH**: Highly polar with a high dielectric constant (32), indicating it can effectively solvate K⁺ and I⁻ ions, thus high solubility for KI.
- **CCl₄**: Non-polar, hence poor solubility for KI.

5. **Conclusion**:
- Among the given solvents, **methanol (CH₃OH)** has the highest solubility for KI due to its polar nature and high dielectric constant.

### Final Answer:
**KI has the highest solubility in CH₃OH (methanol).**

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