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Total number of electrons present in piM...

Total number of electrons present in `piMOs` in `B_(2)` molecule is

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To determine the total number of electrons present in the π molecular orbitals (MOs) of the B₂ molecule, we can follow these steps: ### Step 1: Determine the electron configuration of Boron Boron (B) has an atomic number of 5, which means it has 5 electrons. The electron configuration of a single boron atom is: - 1s² 2s² 2p¹ ### Step 2: Calculate the total number of electrons in B₂ Since B₂ consists of two boron atoms, we multiply the number of electrons in one boron atom by 2: - Total electrons in B₂ = 5 electrons (from one B) × 2 = 10 electrons. ### Step 3: Write the molecular orbital configuration for B₂ The molecular orbital (MO) configuration for B₂ can be arranged as follows: 1. σ1s² 2. σ*1s² 3. σ2s² 4. σ*2s² 5. π2p_x² (or π2p_y²) 6. σ2p_z² 7. π*2p_x (or π*2p_y) 8. σ*2p_z ### Step 4: Fill the molecular orbitals with the total electrons We fill the molecular orbitals in order of increasing energy: 1. σ1s² - 2 electrons 2. σ*1s² - 2 electrons 3. σ2s² - 2 electrons 4. σ*2s² - 2 electrons 5. π2p_x² and π2p_y² - 4 electrons (2 in each) 6. σ2p_z - 0 electrons (not filled) 7. π*2p_x and π*2p_y - 0 electrons (not filled) 8. σ*2p_z - 0 electrons (not filled) ### Step 5: Identify the electrons in π molecular orbitals In the molecular orbital configuration, the π molecular orbitals are: - π2p_x and π2p_y (bonding) - π*2p_x and π*2p_y (antibonding) From the filling: - π2p_x and π2p_y have 2 electrons each, totaling 4 electrons in the bonding π orbitals. - The π* orbitals are empty. ### Conclusion The total number of electrons present in the π molecular orbitals (bonding) of the B₂ molecule is **4 electrons**.

To determine the total number of electrons present in the π molecular orbitals (MOs) of the B₂ molecule, we can follow these steps: ### Step 1: Determine the electron configuration of Boron Boron (B) has an atomic number of 5, which means it has 5 electrons. The electron configuration of a single boron atom is: - 1s² 2s² 2p¹ ### Step 2: Calculate the total number of electrons in B₂ Since B₂ consists of two boron atoms, we multiply the number of electrons in one boron atom by 2: ...
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