The correct order for bond angles is :

Options

A. `NO_(2)^(-)gtNO_(2)^(+)gtNO_(2)`
B. `NO_(2)^(+)gtNO_(2)^(+)gtNO_(2)`
C. `NO_(2)gtNO_(2)^(+)gtNO_(2)^(-)`
D. `NO_(2)^(+)gtNO_(2)gtNO_(2)^(-)`

Answer

To determine the correct order for bond angles among the given molecules (NO2+, NO2, and NO2-), we will analyze their structures and hybridization step by step.

### Step 1: Analyze NO2+
- **Valence Electrons**: Nitrogen has 5 valence electrons. In NO2+, nitrogen is bonded to two oxygen atoms with double bonds. The positive charge indicates that one electron is removed.
- **Hybridization**: The molecule exhibits sp hybridization due to the presence of two double bonds and no lone pairs on nitrogen.
- **Bond Angle**: The bond angle in NO2+ is 180 degrees because it has a linear structure.

### Step 2: Analyze NO2
- **Valence Electrons**: In neutral NO2, nitrogen still has 5 valence electrons. It forms two double bonds with oxygen atoms, leaving one unpaired electron.
- **Hybridization**: The molecule exhibits sp2 hybridization due to the presence of two double bonds and one lone electron.
- **Bond Angle**: The bond angle in NO2 is approximately 120 degrees because of the trigonal planar arrangement influenced by the lone electron.

### Step 3: Analyze NO2-
- **Valence Electrons**: In NO2-, nitrogen has 5 valence electrons, and the negative charge indicates an additional electron. The structure consists of two double bonds and one single bond with one of the oxygen atoms carrying a negative charge.
- **Hybridization**: The molecule exhibits sp2 hybridization due to the presence of two double bonds and one lone pair on nitrogen.
- **Bond Angle**: The bond angle in NO2- is less than 120 degrees because the presence of the lone pair repels the bonding pairs, causing a bent shape.

### Step 4: Compare Bond Angles
- **NO2+**: 180 degrees (linear)
- **NO2**: Approximately 120 degrees (trigonal planar)
- **NO2-**: Less than 120 degrees (bent)

### Final Order of Bond Angles
Based on the analysis:
1. NO2+ (180 degrees)
2. NO2 (approximately 120 degrees)
3. NO2- (less than 120 degrees)

Thus, the correct order for bond angles is:
**NO2+ > NO2 > NO2-**