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The number of unpaired electrons in O(2)...

The number of unpaired electrons in `O_(2)` molecule is

A

Zero

B

1

C

2

D

3

Text Solution

AI Generated Solution

The correct Answer is:
To determine the number of unpaired electrons in the O₂ molecule, we can follow these steps: ### Step 1: Determine the Total Number of Electrons Each oxygen atom has 8 electrons, and since there are two oxygen atoms in O₂, the total number of electrons is: \[ 8 \text{ (from one O)} + 8 \text{ (from another O)} = 16 \text{ electrons} \] ### Step 2: Fill the Molecular Orbitals According to Molecular Orbital Theory (MOT) The molecular orbitals for O₂ are filled in the following order: 1. σ(1s) - 2 electrons 2. σ*(1s) - 2 electrons 3. σ(2s) - 2 electrons 4. σ*(2s) - 2 electrons 5. σ(2p_z) - 2 electrons 6. π(2p_x) - 2 electrons 7. π(2p_y) - 2 electrons 8. π*(2p_x) - 1 electron 9. π*(2p_y) - 1 electron ### Step 3: Count the Electrons in Each Molecular Orbital - σ(1s): 2 electrons - σ*(1s): 2 electrons - σ(2s): 2 electrons - σ*(2s): 2 electrons - σ(2p_z): 2 electrons - π(2p_x): 2 electrons - π(2p_y): 2 electrons - π*(2p_x): 1 electron - π*(2p_y): 1 electron ### Step 4: Identify Unpaired Electrons From the filling of the molecular orbitals, we can see that: - The π*(2p_x) and π*(2p_y) orbitals each contain 1 electron. - Therefore, there are 2 unpaired electrons in total. ### Conclusion The number of unpaired electrons in the O₂ molecule is **2**.
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