Which of the following carboxylic acid has the least pKa value among all?
Step 1: Understanding pKa and Acidity
- The pKa value is the negative logarithm of the acid dissociation constant (\( K_a \)), which measures the strength of an acid.
- A lower pKa value indicates a stronger acid, meaning the acid ionizes more easily in solution.
Step 2: Comparing Carboxylic Acids
- Carboxylic acids (\( R-COOH \)) have different pKa values depending on the electron-withdrawing or electron-donating nature of the substituent group (\( R \)).
- Formic acid (HCOOH) has the lowest pKa value among carboxylic acids because:
- It lacks an alkyl group, so there is no electron-donating effect to stabilize the carboxylate ion.
- It is the simplest carboxylic acid, making it the strongest among its homologs.
Step 3: Conclusion
- Since HCOOH (Formic Acid) has the least pKa value, it is the strongest carboxylic acid among common carboxylic acids.
Complete the following reactions by writing the structure of the main products:
If the value of \( \cos \alpha \) is \( \frac{\sqrt{3}}{2} \), then \( A + A = I \), where \[ A = \begin{bmatrix} \sin\alpha & -\cos\alpha \\ \cos\alpha & \sin\alpha \end{bmatrix}. \]