How many compounds show conductivity HCl(aq), HCl (molten), `AlCl_(3)` (molten), `AlF_(3)` (molten), Graphite, Na(s) `AlCl_(3)` (aq)

Options

A. 4
B. 5
C. 6
D. 3

Explanation

To determine how many compounds show conductivity from the given list, we need to analyze each compound based on its ability to dissociate into ions or have free electrons. Here’s a step-by-step breakdown of the analysis:

### Step 1: Analyze HCl(aq)
- **HCl in aqueous solution (HCl(aq))** dissociates into ions:
- HCl → H⁺ + Cl⁻
- **Conclusion**: HCl(aq) shows conductivity.

### Step 2: Analyze HCl (molten)
- **HCl in molten state** does not dissociate into ions because it remains as a molecular compound without water.
- **Conclusion**: HCl (molten) does not show conductivity.

### Step 3: Analyze AlCl₃ (molten)
- **AlCl₃ in molten state** is primarily covalent and does not dissociate into ions.
- **Conclusion**: AlCl₃ (molten) does not show conductivity.

### Step 4: Analyze AlF₃ (molten)
- **AlF₃ in molten state** is ionic due to the high electronegativity of fluorine, which allows it to dissociate into ions:
- AlF₃ → Al³⁺ + 3F⁻
- **Conclusion**: AlF₃ (molten) shows conductivity.

### Step 5: Analyze Graphite
- **Graphite** has free electrons due to its structure, allowing it to conduct electricity.
- **Conclusion**: Graphite shows conductivity.

### Step 6: Analyze Na(s)
- **Sodium (Na) in solid state** has free electrons, characteristic of metals, which allows it to conduct electricity.
- **Conclusion**: Na(s) shows conductivity.

### Step 7: Analyze AlCl₃ (aq)
- **AlCl₃ in aqueous solution** dissociates into ions due to hydration:
- AlCl₃ + H₂O → Al³⁺ + 3Cl⁻
- **Conclusion**: AlCl₃ (aq) shows conductivity.

### Final Count of Conductive Compounds
Now, let's summarize the findings:
1. HCl(aq) - Conductive
2. HCl (molten) - Not conductive
3. AlCl₃ (molten) - Not conductive
4. AlF₃ (molten) - Conductive
5. Graphite - Conductive
6. Na(s) - Conductive
7. AlCl₃ (aq) - Conductive

**Total conductive compounds = 5**

### Answer
The total number of compounds that show conductivity is **5**.

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