The correct order of increasing bond angle in the following species is

Options

A. `Cl_(2)O lt ClO_(2) lt ClO_(2)^(-)`
B. `ClO_(2) lt Cl_(2)O lt ClO_(2)^(-)`
C. `Cl_(2)O lt ClO_(2)^(-) lt ClO_(2)`
D. `ClO_(2)^(-) lt Cl_(2)O lt ClO_(2)`

Explanation

To determine the correct order of increasing bond angles in the given species (ClO2^-, ClO2, and Cl2O), we will analyze each molecule's structure and the factors affecting their bond angles.

### Step-by-Step Solution:

1. **Identify the Valence Electrons**:
- For ClO2^- (Chlorite ion): Chlorine (Cl) has 7 valence electrons, and each oxygen (O) has 6. The negative charge adds one extra electron. Therefore, total = 7 + 2(6) + 1 = 20 valence electrons.
- For ClO2 (Chlorine dioxide): Chlorine has 7 valence electrons, and each oxygen has 6. Total = 7 + 2(6) = 19 valence electrons.
- For Cl2O (Dichlorine monoxide): Each chlorine has 7 valence electrons, and oxygen has 6. Total = 2(7) + 6 = 20 valence electrons.

2. **Determine the Steric Number**:
- For ClO2^-: There are 2 bond pairs (Cl=O) and 2 lone pairs on chlorine. Steric number = 2 (bond pairs) + 2 (lone pairs) = 4.
- For ClO2: There are 2 bond pairs and 1 lone pair on chlorine. Steric number = 2 + 1 = 3.
- For Cl2O: There are 2 bond pairs (Cl-O) and 2 lone pairs on oxygen. Steric number = 2 + 2 = 4.

3. **Geometry and Bond Angles**:
- For ClO2^-: With a steric number of 4 and 2 lone pairs, the geometry is based on a tetrahedral arrangement. The bond angle is slightly less than 109.5° due to lone pair repulsion, approximately 110°.
- For ClO2: With a steric number of 3 and 1 lone pair, the geometry is bent. The bond angle is larger than 120° due to the presence of a double bond and lone pair repulsion, approximately 118°.
- For Cl2O: With a steric number of 4 and 2 lone pairs, the geometry is also based on a tetrahedral arrangement. The bond angle is slightly less than 109.5°, approximately 111°.

4. **Comparing Bond Angles**:
- ClO2^- has a bond angle of approximately 110°.
- Cl2O has a bond angle of approximately 111°.
- ClO2 has a bond angle of approximately 118°.

5. **Order of Increasing Bond Angles**:
- The order of increasing bond angles is: ClO2^- < Cl2O < ClO2.

### Final Answer:
The correct order of increasing bond angles in the species is: **ClO2^- < Cl2O < ClO2**.