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QuestionChemistry

"What is the bond order of C^2−? Express the bond order numerically."
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Answer

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Step 1:
I'll solve this problem step by step, following the specified LaTeX formatting guidelines:

Step 2:
: Understand the Molecular Structure of C₂⁻

- C₂⁻ is a diatomic molecular ion with two carbon atoms - To determine bond order, we need to analyze the molecular orbital configuration

Step 3:
: Electron Configuration Analysis

* Total: $$4 \times 2 + 1 = 9$$ electrons
- Total valence electrons: * Carbon: 4 electrons per atom * Negative charge adds 1 additional electron

Step 4:
: Molecular Orbital Filling

* $$\sigma_{2p}^{1}
- Molecular orbital diagram for C₂⁻ follows this electron filling pattern:

Step 5:
: Calculate Bond Order Formula

- Bond Order = $$\frac{8 - 3}{2} = \frac{5}{2} = 2.5
- Bonding electrons: 8 - Antibonding electrons: 3

Final Answer

2.5