Select the correct statement(s) regarding structure of `Al_(2)(CH_(3))_(6):`

Options

A. All carbon atoms of `-CH_(3)` groups do not lie in the same plane
B. One vacant orbital of each Al-atom is involved in `sp^(3)`-hybridisation
C. There are only 8 `sp^(3)`-hybridised atoms are present
D. There are total 48 bonding electrons are available

Answer

To solve the question regarding the structure of \( \text{Al}_2(\text{CH}_3)_6 \), we will analyze each statement provided and determine their validity based on the structure and bonding of the compound.

### Step-by-Step Solution:

1. **Understanding the Structure**:
- The compound \( \text{Al}_2(\text{CH}_3)_6 \) consists of two aluminum (Al) atoms and six methyl (CH3) groups.
- The structure can be visualized as two aluminum atoms connected by two bridging carbon atoms, with the remaining four carbon atoms at the terminal positions.

2. **Analyzing the Statements**:
- **Statement 1**: "All carbons of CH3 group do not lie in the same plane."
- In the structure, the terminal CH3 groups are positioned above and below the plane formed by the bridging carbons. Thus, this statement is **true**.

- **Statement 2**: "One vacant orbital of each Al atom is involved in sp3 hybridization."
- Aluminum typically forms three bonds but in this case, it uses a vacant orbital to form a fourth bond with the bridging carbon atoms. Therefore, each Al atom is involved in sp3 hybridization. This statement is **true**.

- **Statement 3**: "There are only 8 sp3 hybridization atoms present."
- Each Al atom contributes to sp3 hybridization (2 Al atoms), and each of the 6 carbon atoms in the CH3 groups also undergoes sp3 hybridization. Thus, there are a total of \( 2 + 6 = 8 \) sp3 hybridized atoms. This statement is **true**.

- **Statement 4**: "There are 48 bond electrons available."
- Each CH3 group contributes 6 electrons (3 from C-H bonds), and there are 6 CH3 groups, contributing \( 6 \times 6 = 36 \) electrons. The two Al atoms contribute \( 2 \times 2 = 4 \) electrons from Al-C bonds, and there are 6 C-H bonds contributing \( 6 \times 2 = 12 \) electrons. Thus, the total is \( 36 + 4 + 12 = 52 \) electrons, not 48. Therefore, this statement is **false**.

### Conclusion:
- The correct statements regarding the structure of \( \text{Al}_2(\text{CH}_3)_6 \) are:
- Statement 1: True
- Statement 2: True
- Statement 3: True
- Statement 4: False

### Final Answer:
The correct statements are 1, 2, and 3.

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