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According to MO theory which of the following lists ranks the nitrogen species in terms of increasing bond order?

  • Option 1)

    N_{2}^{2-}< N_{2}^{-}< N_{2}

  • Option 2)

    N_{2}< N_{2}^{2-}< N_{2}^{-}

  • Option 3)

    N_{2}^{-}< N_{2}^{2-}< N_{2}

  • Option 4)

    N_{2}^{-}< N_{2}< N_{2}^{2-}

 

Answers (2)

best_answer

As we learnt in 

Bond Order -

Bond order is defined as one half the difference between the number of electrons present in the bonding and the antibonding orbitals.

- wherein

Bond \:Order=\frac{N_{b}-{N_{a}}}{2}

 

Electronic config  of  N_{2}^{2-}:\left [ -3 \sigma 2s^{2}\:\sigma^{*} 2s^{2}\:\pi 2p_x^{2}\:\pi 2p_y^{2}\:\sigma 2p_z^{2}\:{\pi^{*}_{2px}}^{1}}\:{\pi^{*}_{2py}}^{1} \right ]

\therefore B.O =\frac{1}{2}\left ( 8-4 \right )=2

Electronic config of N_{2}^{-}=\left [ -3\sigma^{2}_{2s}\:{\sigma^{*}_{2s}}^{2}\: \pi ^{2}_{2px}\: \pi ^{2}_{2py}\:\sigma^{2}_{2pz}\:\pi ^{*1}_{2px} \right ]

\therefore B.O  = \frac{1}{2}\left ( 8-3 \right )=2.5

Electronic config of N_{2} = \left [ -3\sigma^{2}_{2s} \sigma^{*2}_{2s}\:\pi^{2}_{2px}\:\pi ^{2}_{2py}\:\sigma^2p^{2}_{2pz} \right ]

\therefore B.O  = \frac{1}{2}\left ( 8-2 \right )=3

\therefore  iuoreasing leand order : N_{2}^{2-}< N_{2}^{-}< N_{2}


Option 1)

N_{2}^{2-}< N_{2}^{-}< N_{2}

Correct

Option 2)

N_{2}< N_{2}^{2-}< N_{2}^{-}

Incorrect

Option 3)

N_{2}^{-}< N_{2}^{2-}< N_{2}

Incorrect

Option 4)

N_{2}^{-}< N_{2}< N_{2}^{2-}

Incorrect

Posted by

perimeter

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According to MOT, the molecular orbital
electronic configuration of
N2 : (cr lsi (cr* lsi (cr2s)2 (cr*2s)2 (1T2p/ (n2p/ (cr2pi
:. B.0 = 10 - 4 =3
2
N,- : (cr ls)2 (cr* lsi (cr2s)2 (cr*2si (n2pi (np/
- (cr2p/ (n*2p)'
:. B.O= l0-5 = 2.5
2
N2
2
- : (crl s/ (cr* 1 s)2 (cr2s)2 (cr*2s)2 (n2p,i (n2p/
( cr2p / (n*2pi (n*2p/
:. B.O. = lO - 6 = 2.
2
Hence the order : N2
2- < N2
- < N2

Posted by

ashish singh

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