Which diazonium salt is water insoluble and stable at room temperature?
Step 1: Understanding Stability of Diazonium Salts
- Diazonium salts have the general formula \( ArN_2^+X^- \),
where:
- \( Ar \) represents an aromatic group.
- \( X^- \) represents the anion, such as \( Cl^-, Br^-, SO_4^{2-}, BF_4^- \), etc.
- Most diazonium salts are water-soluble and unstable at room temperature, decomposing rapidly to release nitrogen gas.
Step 2: Properties of \( C_6H_5N_2BF_4 \)
- Benzenediazonium tetrafluoroborate \( (C_6H_5N_2BF_4) \) is an exception.
- The tetrafluoroborate ion \( BF_4^- \) stabilizes the diazonium cation, making it:
- Insoluble in water (hence it precipitates).
- Stable at room temperature without decomposing.
Step 3: Conclusion
Among diazonium salts, benzenediazonium tetrafluoroborate \( C_6H_5N_2BF_4 \) is the most stable and water-insoluble at room temperature.
If the value of \( \cos \alpha \) is \( \frac{\sqrt{3}}{2} \), then \( A + A = I \), where \[ A = \begin{bmatrix} \sin\alpha & -\cos\alpha \\ \cos\alpha & \sin\alpha \end{bmatrix}. \]