Question

# Among the following molecules, the molecule with linear shape is:Water${\mathrm{BH}}_{3}$${\mathrm{CH}}_{4}$${\mathrm{CO}}_{2}$

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Solution

## The correct option is D ${\mathrm{CO}}_{2}$Explanation for correct option:D. ${\mathrm{CO}}_{2}$Hybridization:“Hybridization is defined as the process of intermixing of the orbitals of slightly different energies so as to redistribute their energies, resulting in the formation of a new set of orbitals of equivalent energies and shape.”Hybridization of carbon in carbon dioxide:The hybridization state of carbon in ${\mathrm{CO}}_{2}$ is $\mathrm{sp}$ hybridized. The two sp hybridized orbitals of the carbon atom overlap with two p orbitals of the oxygen atom to form two sigma $\mathrm{\sigma }$ bonds while the other two electrons of carbon are involved in $\mathrm{\pi }-\mathrm{\pi }$ bonding with the oxygen atom.Carbon dioxide has a linear geometry.Explanation for incorrect options:A. Water has a bent geometry. In hybridization of ${\mathrm{H}}_{2}\mathrm{O}$, the oxygen atom is ${\mathrm{sp}}^{3}$ hybridized.B. In ${\mathrm{BH}}_{3}$, Boron has three valence electrons, it will have ${\mathrm{sp}}^{2}$ hybridization. As per VSEPR theory, it has trigonal planar geometry.C. In ${\mathrm{CH}}_{4}$, the hybridization ${\mathrm{sp}}^{3}$ and has tetrahedral geometry as per VSEPR theory.Hence, the correct option is D i.e. ${\mathrm{CO}}_{2}$.

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