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Among the following species, the diamagn...

Among the following species, the diamagnetic molecule is:

A

CO

B

`O_(2)`

C

NO

D

`B_(2)`

Text Solution

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The correct Answer is:
To determine which of the given species is diamagnetic, we need to analyze the electron configuration of each species using Molecular Orbital Theory (MOT). A diamagnetic molecule has all its electrons paired, while a paramagnetic molecule has unpaired electrons. ### Step-by-Step Solution: 1. **Identify the Species**: The question asks us to identify which among the given species is diamagnetic. Let's consider three common species: CO, O2, and B2. 2. **Count the Electrons**: - **CO (Carbon Monoxide)**: - Carbon (C) has 6 electrons. - Oxygen (O) has 8 electrons. - Total electrons in CO = 6 + 8 = 14 electrons. - **O2 (Oxygen)**: - Each oxygen atom has 8 electrons. - Total electrons in O2 = 8 + 8 = 16 electrons. - **B2 (Boron Dimer)**: - Each boron atom has 5 electrons. - Total electrons in B2 = 5 + 5 = 10 electrons. 3. **Fill the Molecular Orbitals**: - **For CO (14 Electrons)**: - The filling order based on MOT is: - σ1s (2), σ1s* (2), σ2s (2), σ2s* (2), σ2p_z (2), π2p_x (2), π2p_y (2). - All 14 electrons are filled, and there are no unpaired electrons. Thus, CO is **diamagnetic**. - **For O2 (16 Electrons)**: - The filling order is: - σ1s (2), σ1s* (2), σ2s (2), σ2s* (2), σ2p_z (2), π2p_x (2), π2p_y (2), π2p_x* (1), π2p_y* (1). - There are 2 unpaired electrons in the π2p_x* and π2p_y* orbitals. Thus, O2 is **paramagnetic**. - **For B2 (10 Electrons)**: - The filling order is: - σ1s (2), σ1s* (2), σ2s (2), σ2s* (2), σ2p_z (2), π2p_x (1), π2p_y (1). - There are 2 unpaired electrons in the π2p_x and π2p_y orbitals. Thus, B2 is **paramagnetic**. 4. **Conclusion**: Among CO, O2, and B2, the only species that is diamagnetic is **CO**. ### Summary: - **Diamagnetic Species**: CO (Carbon Monoxide) - **Paramagnetic Species**: O2 (Oxygen) and B2 (Boron Dimer)

To determine which of the given species is diamagnetic, we need to analyze the electron configuration of each species using Molecular Orbital Theory (MOT). A diamagnetic molecule has all its electrons paired, while a paramagnetic molecule has unpaired electrons. ### Step-by-Step Solution: 1. **Identify the Species**: The question asks us to identify which among the given species is diamagnetic. Let's consider three common species: CO, O2, and B2. 2. **Count the Electrons**: - **CO (Carbon Monoxide)**: ...
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