Which of the following statements is correct ?

Options

A. In the formation of dioxygen form oxygen atoms, 10 molecular orbitals will be formed.
B. All the molecular orbitals in the dioxygen will be completely filled
C. Total number of bonding molecular orbitals will not be same as total number of antibonding orbitals in dioxygen.
D. Number of filled bonding orbitals will be same as number of filled antibonding orbitals

Explanation

To determine which statements about dioxygen (O2) are correct, we need to analyze the molecular orbital (MO) configuration of dioxygen and evaluate each statement provided.

### Step-by-Step Solution:

1. **Determine the Total Number of Electrons in Dioxygen:**
- Each oxygen atom has 8 electrons. Therefore, for two oxygen atoms, the total number of electrons is:
\[ 8 \text{ (from O1)} + 8 \text{ (from O2)} = 16 \text{ electrons} \]

2. **Write the Molecular Orbital Configuration:**
- The molecular orbital configuration for dioxygen (O2) can be filled as follows:
- \(\sigma_{1s}^2\)
- \(\sigma^*_{1s}^2\)
- \(\sigma_{2s}^2\)
- \(\sigma^*_{2s}^2\)
- \(\sigma_{2p_z}^2\)
- \(\pi_{2p_x}^2\)
- \(\pi_{2p_y}^2\)
- \(\pi^*_{2p_x}^1\)
- \(\pi^*_{2p_y}^1\)

3. **Count the Molecular Orbitals:**
- The filled molecular orbitals are:
- \(\sigma_{1s}\), \(\sigma^*_{1s}\), \(\sigma_{2s}\), \(\sigma^*_{2s}\), \(\sigma_{2p_z}\), \(\pi_{2p_x}\), \(\pi_{2p_y}\)
- Total number of molecular orbitals formed is 5 (bonding) + 4 (anti-bonding) = 9 molecular orbitals.

4. **Evaluate Each Statement:**
- **Statement 1:** "In the formation of dioxygen, 10 molecular orbitals will be formed."
- **Evaluation:** This statement is incorrect because only 9 molecular orbitals are formed.

- **Statement 2:** "All the molecular orbitals in dioxygen will be completely filled."
- **Evaluation:** This statement is incorrect because the anti-bonding orbitals \(\pi^*_{2p_x}\) and \(\pi^*_{2p_y}\) are not completely filled (each has 1 electron).

- **Statement 3:** "Total number of bonding molecular orbitals will not be the same as total number of anti-bonding orbitals."
- **Evaluation:** This statement is correct. There are 5 bonding orbitals and 4 anti-bonding orbitals.

- **Statement 4:** "Number of filled bonding orbitals will be the same as the number of filled anti-bonding orbitals."
- **Evaluation:** This statement is incorrect. There are 5 filled bonding orbitals and only 2 filled anti-bonding orbitals.

5. **Conclusion:**
- The correct statements are:
- Statement 3: "Total number of bonding molecular orbitals will not be the same as total number of anti-bonding orbitals."