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Step 1:I'll solve this problem step by step, following the specified LaTeX and formatting guidelines:
Step 2:: Understand the Molecular Structure
- Cl₂ is a diatomic molecule composed of two chlorine atoms - Both chlorine atoms are identical - We need to analyze the bond and overall molecular geometry
Step 3:: Electronegativity Consideration
- Chlorine has an electronegativity of $$2.96$$ on the Pauling scale
- When two identical atoms bond, they have the same electronegativity
Step 4:: Electron Distribution Analysis
- Since both chlorine atoms have the same electronegativity, the electrons are shared equally - This means the electron density is symmetrically distributed along the bond - No charge separation occurs between the atoms
Step 5:: Molecular Polarity Determination
- Equal electron sharing means no permanent dipole moment exists - The molecule has a linear symmetrical structure - Symmetry prevents any net separation of charge
Final Answer
Key Reasoning: Identical atoms with equal electronegativity create a symmetrical electron distribution, resulting in no net dipole moment.
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