'R' + CH3-CO-CH3 → Schiff's base. What is 'R' in this reaction?
Step 1: Understanding Schiff's Base Formation
- A Schiff’s base is formed by the reaction between a carbonyl compound (aldehyde or ketone) and a primary amine.
- The reaction involves the nucleophilic attack of the amine (\( R-NH_2 \)) on the carbonyl carbon of the ketone or aldehyde, forming an imine (-C=NR).
Step 2: Identifying 'R'
- The given reaction shows a ketone (CHsubscript{3}-CO-CHsubscript{3}, acetone) reacting to form a Schiff’s base.
- The nucleophile that reacts with acetone must be a primary amine.
- The primary amine that leads to the formation of a Schiff's base in this case is methylamine (\( CH_3-NH_2 \)).
Step 3: Conclusion
- The value of 'R' in this reaction is methylamine (\( CH_3-NH_2 \)), which reacts with acetone to form the Schiff's base.
If the value of \( \cos \alpha \) is \( \frac{\sqrt{3}}{2} \), then \( A + A = I \), where \[ A = \begin{bmatrix} \sin\alpha & -\cos\alpha \\ \cos\alpha & \sin\alpha \end{bmatrix}. \]