The number of bonding and anti-bonding electrons respectively in CO molecule is :

Options

A. 8, 2
B. 2,8
C. 4,2
D. 10,4

Explanation

To determine the number of bonding and anti-bonding electrons in the carbon monoxide (CO) molecule, we will follow these steps:

### Step 1: Determine the Total Number of Electrons
CO consists of carbon (C) and oxygen (O).
- Carbon has 6 electrons (atomic number 6).
- Oxygen has 8 electrons (atomic number 8).
- Therefore, the total number of electrons in CO = 6 (from C) + 8 (from O) = 14 electrons.

### Step 2: Construct the Molecular Orbital (MO) Diagram
According to molecular orbital theory, the molecular orbitals for CO can be derived from the atomic orbitals of carbon and oxygen. The order of filling the molecular orbitals for CO is as follows:
1. σ(1s)
2. σ*(1s)
3. σ(2s)
4. σ*(2s)
5. σ(2p_z)
6. π(2p_x) = π(2p_y)
7. π*(2p_x) = π*(2p_y)
8. σ*(2p_z)

### Step 3: Fill the Molecular Orbitals with Electrons
Now, we will fill the molecular orbitals with the 14 electrons:
1. Fill σ(1s) with 2 electrons.
2. Fill σ*(1s) with 2 electrons.
3. Fill σ(2s) with 2 electrons.
4. Fill σ*(2s) with 2 electrons.
5. Fill σ(2p_z) with 2 electrons.
6. Fill π(2p_x) and π(2p_y) with the remaining 4 electrons (2 in each).

### Step 4: Count the Bonding and Anti-bonding Electrons
- **Bonding Electrons**:
- σ(1s): 2
- σ(2s): 2
- σ(2p_z): 2
- π(2p_x): 2
- π(2p_y): 2
- Total bonding electrons = 2 + 2 + 2 + 2 + 2 = 10 electrons.

- **Anti-bonding Electrons**:
- σ*(1s): 2
- σ*(2s): 2
- π*(2p_x): 0
- π*(2p_y): 0
- σ*(2p_z): 0
- Total anti-bonding electrons = 2 + 2 = 4 electrons.

### Final Answer
The number of bonding and anti-bonding electrons in the CO molecule is:
- Bonding electrons: 10
- Anti-bonding electrons: 4