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In which of the following processes magn...

In which of the following processes magnetic moment and Bond order, both are changed.

A

`NO to NO^+`

B

`O_2^+ to O_2`

C

`N_2 to N_2^-`

D

All of these

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The correct Answer is:
To determine in which of the following processes both the magnetic moment and bond order change, we will analyze the changes in molecular orbitals for the given species. ### Step-by-Step Solution: 1. **Understanding Magnetic Moment and Bond Order**: - The magnetic moment (\( \mu \)) is determined by the number of unpaired electrons in a molecule. The formula is given by: \[ \mu = \sqrt{n(n + 2)} \] where \( n \) is the number of unpaired electrons. - The bond order is calculated as: \[ \text{Bond Order} = \frac{N_b - N_a}{2} \] where \( N_b \) is the number of electrons in bonding molecular orbitals and \( N_a \) is the number of electrons in anti-bonding molecular orbitals. 2. **Analyzing the Given Processes**: - **Process A: \( \text{NO} \) to \( \text{NO}^+ \)**: - \( \text{NO} \) has 15 electrons, resulting in a bond order of 2.5 and a magnetic moment due to 1 unpaired electron. - \( \text{NO}^+ \) has 14 electrons, resulting in a bond order of 3 and a magnetic moment of 0 (all electrons are paired). - **Change**: Both bond order and magnetic moment change. - **Process B: \( \text{NO}^+ \) to \( \text{NO}_2 \)**: - \( \text{NO}_2 \) has 16 electrons, resulting in a bond order of 2 and a magnetic moment due to 2 unpaired electrons. - **Change**: Both bond order and magnetic moment change. - **Process C: \( \text{N}_2 \) to \( \text{N}_2^- \)**: - \( \text{N}_2 \) has 14 electrons, resulting in a bond order of 3 and a magnetic moment of 0. - \( \text{N}_2^- \) has 15 electrons, resulting in a bond order of 2.5 and a magnetic moment due to 1 unpaired electron. - **Change**: Both bond order and magnetic moment change. 3. **Conclusion**: - In all three processes (A, B, and C), both the magnetic moment and bond order change. Therefore, the correct answer is **D: All of the above**.
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