The correct order of increasing hydration energy of the following conjugate bases of oxoacids of chlorine is

Options

A. `ClO_(4)^(-) lt ClO_3^(-) lt ClO_2^(-) lt ClO^-`
B. `ClO^(-) lt ClO_2^(-) lt ClO_3^(-) lt ClO_4^(-)`
C. `ClO_3^(-) lt ClO_4^(-) lt ClO_2^(-) lt ClO^(-)`
D. `ClO_4^(-) lt ClO_3^(-) lt ClO^(-) lt ClO_2^(-)`

Answer

To determine the correct order of increasing hydration energy of the conjugate bases of oxoacids of chlorine, we need to analyze the oxidation states of chlorine in each conjugate base and their corresponding sizes. The conjugate bases we are considering are ClO⁻, ClO₂⁻, ClO₃⁻, and ClO₄⁻.

### Step-by-Step Solution:

1. **Identify the Conjugate Bases**:
- The conjugate bases of the oxoacids of chlorine are:
- ClO⁻ (hypochlorite)
- ClO₂⁻ (chlorite)
- ClO₃⁻ (chlorate)
- ClO₄⁻ (perchlorate)

2. **Determine the Oxidation States**:
- For ClO⁻: Chlorine has an oxidation state of +1.
- For ClO₂⁻: Chlorine has an oxidation state of +3.
- For ClO₃⁻: Chlorine has an oxidation state of +5.
- For ClO₄⁻: Chlorine has an oxidation state of +7.

3. **Analyze the Size of the Anions**:
- The size of the anion decreases with an increase in the oxidation state of chlorine. This is because a higher oxidation state means that chlorine has a greater positive charge, which pulls the electrons closer to the nucleus, resulting in a smaller ionic radius.
- Therefore, the order of size (from smallest to largest) based on oxidation states is:
- ClO₄⁻ < ClO₃⁻ < ClO₂⁻ < ClO⁻

4. **Relate Size to Hydration Energy**:
- Hydration energy is inversely proportional to the size of the ion. Smaller ions will have higher hydration energy because they can interact more strongly with water molecules.
- Thus, the hydration energy order (from highest to lowest) will be the reverse of the size order:
- ClO₄⁻ > ClO₃⁻ > ClO₂⁻ > ClO⁻

5. **Establish the Increasing Order of Hydration Energy**:
- Therefore, the increasing order of hydration energy for the conjugate bases is:
- ClO⁻ < ClO₂⁻ < ClO₃⁻ < ClO₄⁻

### Final Answer:
The correct order of increasing hydration energy of the conjugate bases of oxoacids of chlorine is:
**ClO⁻ < ClO₂⁻ < ClO₃⁻ < ClO₄⁻**