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Amongst the following, the number of species having the linear shape is
XeF$$_2$$, I$$_3^+$$, C$$_3$$O$$_2$$, I$$_3^-$$, CO$$_2$$, SO$$_2$$, BeCl$$_2$$ and BCl$$_2^\ominus$$
Correct Answer: 5
We need to determine which of the given species have a linear shape.
1. XeF₂: Xe has 8 valence electrons (including 2 bond pairs + 3 lone pairs). Geometry: trigonal bipyramidal electron pair, linear molecular shape. ✓
2. I₃⁺: Total valence electrons = 3(7) − 1 = 20. Central I: 2 bond pairs + 2 lone pairs → bent. ✗
3. C₃O₂ (carbon suboxide): Structure: O=C=C=C=O. All carbons are sp hybridized. Linear. ✓
4. I₃⁻: Total valence electrons = 3(7) + 1 = 22. Central I: 2 bond pairs + 3 lone pairs → sp³d, linear. ✓
5. CO₂: O=C=O. Carbon is sp hybridized. Linear. ✓
6. SO₂: S has 2 bond pairs + 1 lone pair → bent. ✗
7. BeCl₂: Be has 2 bond pairs, no lone pairs → sp, linear. ✓
8. BCl₂⁻: B has 3 + 1 = 4 valence electrons. With 2 bonds: 2 bond pairs + 1 lone pair → sp², bent. ✗
Linear species: XeF₂, C₃O₂, I₃⁻, CO₂, BeCl₂ = 5
The correct answer is 5.
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