Select the correct statements(s).

Options

A. Carboxylic acids are both hydrogen-bonding donors and hydrogen-bonding acceptors
B. Carboxylic acids in pure state exist as dimers
C. Carboxylic acids of low molecular weight are infinitely soluble in water because of extensive H-bonding with water molecules
D. All of the above statements are correct

Answer

To solve the question of selecting the correct statements regarding carboxylic acids, we will analyze each statement one by one.

### Step-by-Step Solution:

1. **Statement 1: Carboxylic acids are both hydrogen bonding donor and hydrogen bonding acceptor.**
- **Analysis:** Carboxylic acids contain a hydroxyl group (-OH) and a carbonyl group (C=O). The -OH group can donate a hydrogen bond (acting as a donor), while the oxygen in the carbonyl group can accept a hydrogen bond (acting as an acceptor). Therefore, this statement is correct.

2. **Statement 2: Carboxylic acids in pure state exist as dimers.**
- **Analysis:** In the pure state, carboxylic acids tend to associate with each other through hydrogen bonding, forming dimers. This means that two molecules of carboxylic acid can bond together, which is a common characteristic of carboxylic acids. Thus, this statement is also correct.

3. **Statement 3: Carboxylic acids of low molecular weight are infinitely soluble in water due to extensive hydrogen bonding with water molecules.**
- **Analysis:** Low molecular weight carboxylic acids, such as acetic acid, can form strong hydrogen bonds with water molecules. This extensive hydrogen bonding allows them to be highly soluble in water. Therefore, this statement is correct as well.

4. **Conclusion:**
- Since all three statements have been analyzed and found to be correct, we can conclude that the answer is that all of the above statements are correct.

### Final Answer:
All of the above statements are correct.