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Question

Chemistry Question on Molecular Orbital Theory

The increasing order of ONOO-N-O bond angle in the species NO2,NO2+NO_2,\, NO_2^ + and NO2NO_2 ^- is

A

NO2+<NO2<NO2NO_{2}^+< NO_{2}< NO_{2}^{-}

B

NO2<NO2<NO2+NO_{2}< NO_{2}^{-}< NO_{2}^{+}

C

NO2+<NO2<NO2NO_{2}^{+}< NO_{2} < NO_{2}^{-}

D

NO2<NO2+<NO2NO_{2}< NO_{2}^{+}< NO_{2}^{-}

Answer

NO2+<NO2<NO2NO_{2}^{+}< NO_{2} < NO_{2}^{-}

Explanation

Solution

No option is correct. As the number of lone pair of electrons increases, bond angle decreases NO2+NO _{2}^{+}ion is isoelectronic with CO2CO _{2} molecule. It is a linear ion and its central atom (N+)\left( N ^{+}\right)undergoes sp-hybridisation. Hence, its bond angle is 180180^{\circ}. lnNO2\ln NO _{2}^{-}ion, NN-atom undergoes sp2sp ^{2} hybridisation. The angle between hybrid orbital should be 120120^{\circ} but one lone pair of electrons is lying on NN-atom, hence bond angle decreases to 115115^{\circ}. In NO2NO _{2} molecule, NN-atom has one unpaired electron in sp2s p^{2}-hybrid orbital. The bond angle should be 120120^{\circ} but actually, it is 132132^{\circ}. It may be due to one unpaired electron in sp2s p^{2}-hybrid orbital. Therefore, the increasing order of bond angle is NO2115<NO2132<NO2+180\underset{115^{\circ}}{NO^{-}_{2}} < \underset{132^{\circ}}{NO_{2}} < \underset{180^{\circ}}{NO^{+}_{2}}