The highest electrical conductivity of the following aqueous solutions is of

Options

A. `0.1M` acetic acid
B. `0.1 M` chloro acetic acid
C. `0.1M` fluoro acetic acid
D. `0.1 M ` difluoro acetic acid

Explanation

To determine which aqueous solution has the highest electrical conductivity among the given options (acetic acid, chloroacetic acid, and dichloroacetic acid), we need to consider the extent of dissociation of these acids in water. The more an acid dissociates, the more ions it produces, which leads to higher electrical conductivity.

### Step-by-Step Solution:

1. **Identify the Acids**:
- Acetic acid (CH₃COOH)
- Chloroacetic acid (ClCH₂COOH)
- Dichloroacetic acid (Cl₂CHCOOH)

2. **Understand Acid Strength**:
- All three acids are weak acids, but their strength varies based on their dissociation constants (Ka).
- The higher the Ka value, the stronger the acid, and the greater the extent of dissociation.

3. **Analyze the Effects of Substituents**:
- Acetic acid has no electronegative substituents that can stabilize the negative charge after dissociation.
- Chloroacetic acid has one chlorine atom, which is electronegative and can help stabilize the negative charge, increasing its dissociation compared to acetic acid.
- Dichloroacetic acid has two chlorine atoms, which provide even greater stabilization of the negative charge due to their strong electron-withdrawing effects.

4. **Compare the Ka Values**:
- Generally, the order of acid strength (and hence Ka values) is:
- Dichloroacetic acid > Chloroacetic acid > Acetic acid
- This means that dichloroacetic acid will dissociate more in solution than the other two acids.

5. **Conclusion**:
- Since dichloroacetic acid has the highest Ka value, it will produce the most H⁺ ions upon dissociation.
- Therefore, the aqueous solution of dichloroacetic acid will have the highest electrical conductivity.

### Final Answer:
The aqueous solution with the highest electrical conductivity is that of **dichloroacetic acid**.