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Question: Arrange the following in order of decreasing N – O bond length : NO2+ , NO2– , NO3–...

Arrange the following in order of decreasing N – O bond length : NO2+ , NO2– , NO3–

A

NO3>NO2+>NO2NO_{3}^{-} > NO_{2}^{+} > NO_{2}^{-}

B

NO3>NO2>NO2+NO_{3}^{-} > NO_{2}^{-} > NO_{2}^{+}

C

NO2+>NO3>NO2NO_{2}^{+} > NO_{3}^{-} > NO_{2}^{-}

D

NO2>NO3>NO2+NO_{2}^{-} > NO_{3}^{-} > NO_{2}^{+}

Answer

NO3>NO2>NO2+NO_{3}^{-} > NO_{2}^{-} > NO_{2}^{+}

Explanation

Solution

N atom in NO2+ is sp hybridised while in NO2– and NO3–, it is sp2 hybridised.

Bond order = 2

\longleftrightarrowBond order = = 1.5

\longleftrightarrow\longleftrightarrowBond order = 2+1+13\frac{2 + 1 + 1}{3} = 1.33

Bond order \propto 1Bondlength\frac{1}{Bondlength}

So, bond length order is. NO3>NO2>NO2+NO_{3}^{-} > NO_{2}^{-} > NO_{2}^{+}