`AlF_(3)` is insoluble in anhydrous `HF` but dissolves on addition of `NaF. AlF_(3)` precipitates out of resulting solution when gaseous `BF_(3)` is bubbled through. Give reasons.

Explanation

To solve the question regarding the solubility of AlF₃ in anhydrous HF and its behavior upon the addition of NaF and BF₃, we can break down the explanation into clear steps.

### Step 1: Understanding the Insolubility of AlF₃ in Anhydrous HF
AlF₃ (aluminum trifluoride) is insoluble in anhydrous HF (hydrogen fluoride) due to two main reasons:
1. **Covalent Nature of HF**: Anhydrous HF is a polar covalent compound and does not dissociate into ions. This means it cannot provide the necessary fluoride ions (F⁻) to react with AlF₃.
2. **Strong Hydrogen Bonding**: The strong hydrogen bonding in anhydrous HF prevents it from ionizing, further contributing to the lack of fluoride ions in the solution.

### Step 2: Dissolution of AlF₃ in the Presence of NaF
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