Which of the following solution will have highest specific conductance?

Options

A. `0.01M CH_(3)COOH`
B. `0.01M NH_(4)OH`
C. `0.01M NaCl`
D. `0.01M K_(2)SO_(4)`

Answer

To determine which solution has the highest specific conductance, we need to analyze the dissociation of the given electrolytes and the number of ions produced in solution. Here’s a step-by-step solution:

### Step 1: Identify the Electrolytes
We have the following solutions to consider:
1. Acetic acid (CH₃COOH)
2. Ammonium hydroxide (NH₄OH)
3. Sodium chloride (NaCl)
4. Potassium sulfate (K₂SO₄)

### Step 2: Classify the Electrolytes
- **Acetic acid** and **ammonium hydroxide** are weak electrolytes. They do not dissociate completely in solution, resulting in fewer ions.
- **Sodium chloride (NaCl)** and **potassium sulfate (K₂SO₄)** are strong electrolytes. They dissociate completely in solution.

### Step 3: Determine the Dissociation of Strong Electrolytes
- **NaCl** dissociates into:
\[ \text{NaCl} \rightarrow \text{Na}^+ + \text{Cl}^- \]
This produces 2 ions.

- **K₂SO₄** dissociates into:
\[ \text{K}_2\text{SO}_4 \rightarrow 2\text{K}^+ + \text{SO}_4^{2-} \]
This produces 3 ions.

### Step 4: Compare the Number of Ions
- **Weak Electrolytes**:
- Acetic acid → produces very few ions.
- Ammonium hydroxide → produces very few ions.

- **Strong Electrolytes**:
- NaCl → produces 2 ions.
- K₂SO₄ → produces 3 ions.

### Step 5: Conclusion
Since specific conductance is directly related to the number of ions in solution, K₂SO₄, which produces the highest number of ions (3 ions), will have the highest specific conductance among the given solutions.

### Final Answer
**K₂SO₄ will have the highest specific conductance.**

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