Chemical Bonding and Molecular Structure - Result Question 106

####108. The pair of species with the same bond order is :

(a) O22,B2

(b) O2+,NO+[2012]

(c) NO,CO

(d) N2,O2

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Solution:

  1. (a) Both O22 and B2 has bond order equal to 1 .

$B_2(10)=[\sigma 1 s^{2} \sigma^{} 1 s^{2} \sigma 2 s^{2} \sigma^{} 2 s^{2} \pi 2 p^{1} _{y} \pi 2 p_z{ }^{1}]$

Bond order =NbNa2=642=22=1

B2 is known to be in the gas phase.

$ \begin{aligned} & O_2{ }^{2-}=\sigma 1 s^{2} \sigma^{} 1 s^{2} \sigma 2 s^{2} \sigma^{} 2 s^{2} \sigma 2 p_z{ }^{2} \ & \pi 2 p_x{ }^{2} \pi 2 p_y{ }^{2} \pi^{} 2 p_x{ }^{2} \pi^{} 2 p_y{ }^{2} \end{aligned} $

Bond order =12(108)=1

109

(b) $(O_2)=\sigma 1 s^{2} \sigma^{} 1 s^{2} \sigma 2 s^{2} \sigma^{} 2 s^{2} \sigma 2 p_z^{2} \pi 2 p_x^{2}$

$ =\pi 2 p_y^{2} \pi^{} 2 p_x^{1}=\pi^{} 2 p_y^{1} $

Bond order =NbNa2=1062=42=2

(O2+.ion $)=\sigma 1 s^{2} \sigma^{} 1 s^{2} \sigma 2 s^{2} \sigma^{} 2 s^{2}$

σ2pz2π2px2=π2py2π2px1

Bond order =NbNa2=1052=52=212

$(O_2^{-})=\sigma 1 s^{2} \sigma^{} 1 s^{2} \sigma 2 s^{2} \sigma^{} 2 s^{2} \sigma 2 P_z^{2}$

$\pi 2 p_x^{2}=\pi 2 p_y^{2} \pi^{} 2 p_x^{2} \pi^{} 2 p_y^{1}$

Bond order =(NbNa)2=1072=32=112

$(O_2^{2-})=\sigma 1 s^{2} \sigma^{} 1 s^{2} \sigma 2 s^{2} \sigma^{} 2 s^{2} \sigma 2 p_z^{2} \pi 2 p_x^{2}$

$ =\pi 2 p_y^{2} \pi^{} 2 p_x^{2}=\pi^{} 2 p_y^{2} $

Bond order NbNa2=1082=22=1



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