Consider the molecules `CH_(4),NH_(3)` and `H_(2)O` which of the given statement is false ?

Options

A. The H-O-H bond angle in `H_(2)O` is smaller than the H-N-H bond angle in `NH_(3)`
B. The H-C-H bond angle in `CH_(4)` is larger than the H-N-H bond angle in `NH_(3).`
C. The H-C-H bond angle in `CH_(4),` the H-N-H bond angle in `NH_(3)` and the H-O-H bond angle in `H_(2)O` are all greater than `90^(@).`
D. The H-O-H bond angle in `H_(2)O` is larger than the H-C-H bond angle in `CH_(4).`

Explanation

To determine which statement is false regarding the molecules CH₄ (methane), NH₃ (ammonia), and H₂O (water), we will analyze the bond angles and structures of each molecule step by step.

### Step 1: Analyze the structure of CH₄ (Methane)
- **Molecular Geometry**: Methane has a tetrahedral geometry due to the presence of four bond pairs and no lone pairs.
- **Bond Angle**: The bond angle in methane is approximately 109.5°.

### Step 2: Analyze the structure of NH₃ (Ammonia)
- **Molecular Geometry**: Ammonia has a trigonal pyramidal geometry because it has three bond pairs and one lone pair.
- **Bond Angle**: The bond angle in ammonia is approximately 107° due to the repulsion caused by the lone pair.

### Step 3: Analyze the structure of H₂O (Water)
- **Molecular Geometry**: Water has a bent shape because it has two bond pairs and two lone pairs.
- **Bond Angle**: The bond angle in water is approximately 104.5°, which is smaller than that in ammonia due to the increased repulsion from the lone pairs.

### Step 4: Evaluate the statements
1. **Statement 1**: The bond angle in water is smaller than the bond angle in ammonia.
- **True**: Water (104.5°) < Ammonia (107°).

2. **Statement 2**: The bond angle in CH₄ is larger than the bond angle in NH₃.
- **True**: CH₄ (109.5°) > NH₃ (107°).

3. **Statement 3**: The bond angles in CH₄, NH₃, and H₂O are all greater than 90°.
- **True**: All bond angles (CH₄: 109.5°, NH₃: 107°, H₂O: 104.5°) are greater than 90°.

4. **Statement 4**: The bond angle in water is greater than the bond angle in CH₄.
- **False**: Water (104.5°) < CH₄ (109.5°).

### Conclusion
The false statement is **Statement 4**: "The bond angle in water is greater than the bond angle in CH₄."

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