Answer
Verified
401.1k+ views
Hint: Here we will be using the concept of Molecular Orbital Theory (MOT). So, using this theory write the electronic configuration of all these compounds and see which of them has unpaired electrons.
(Paramagnetic are the ones with unpaired electrons and diamagnetic are the ones with all electrons paired)
Complete answer:
-First of all let us see what Molecular Orbital Theory (MOT) is.
When the Valence Bond Theory failed to explain the bonding pattern of certain complex
molecules or how certain molecules contain two or more equivalent bonds like the bonds of resonance stabilised molecules, the MOT came in its place. It helps to explain such complex bonding between atoms and to predict the distribution of electrons.
This in turn helps in predicting the molecular properties like bond order, magnetism, shape, etc.
According to this theory:
The atomic orbitals combine to form molecular orbitals. These molecular orbitals are of 2 types: bonding and antibonding molecular orbitals. Electrons prefer staying in the molecular orbitals since the molecular bonds have lower potential energy in atomic orbitals.
The order of increasing energy of molecular orbitals according to this theory is:
$\sigma 1s,{\sigma ^*}1s,\sigma 2s,{\sigma ^*}2s,\sigma 2{p_z},\pi 2{p_x} = \pi 2{p_y},{\pi ^*}2{p_x} = {\pi ^*}2{p_y},{\sigma ^*}2{p_z}$ and so on.
Now let’s start writing the configurations of various given compounds using the above given energy sequence of molecular orbitals.
For ${N_2}$ : total number of electrons = 14
Configuration: ${(\sigma 1s)^2}{({\sigma ^*}1s)^2}{(\sigma 2s)^2}{({\sigma ^*}2s)^2}{(\pi 2{p_x})^2}{(\pi 2{p_y})^2}{(\sigma 2{p_z})^2}$
Here there are no unpaired electrons and so ${N_2}$ is not paramagnetic. It is diamagnetic,
-For ${O_2}^{ - 2}$ : total number of electrons = 18 Configuration: ${(\sigma 1s)^2}{({\sigma ^*}1s)^2}{(\sigma 2s)^2}{({\sigma ^*}2s)^2}{(\sigma 2{p_z})^2}{(\pi 2{p_x})^2}{(\pi 2{p_y})^2}{({\pi ^*}2{p_x})^2}{({\pi ^*}2{p_y})^2}$
Here also there are no unpaired electrons and so ${O_2}^{ - 2}$ is also diamagnetic.
-For $C{N^ - }$ : total number of electrons = 14
Configuration: ${(\sigma 1s)^2}{({\sigma ^*}1s)^2}{(\sigma 2s)^2}{({\sigma ^*}2s)^2}{(\sigma 2{p_z})^2}{(\pi 2{p_x})^2}{(\pi 2{p_y})^2}$
Here also we can see that there are no unpaired electrons and so $C{N^ - }$ is diamagnetic.
-For ${O_2}^ - $ : total number of electrons = 17
Configuration: ${(\sigma 1s)^2}{({\sigma ^*}1s)^2}{(\sigma 2s)^2}{({\sigma ^*}2s)^2}{(\sigma 2{p_z})^2}{(\pi 2{p_x})^2}{(\pi 2{p_y})^2}{({\pi ^*}2{p_x})^2}{({\pi ^*}2{p_y})^1}$
Here we can see that there is 1 unpaired electron in the last antibonding molecular orbital. So, we can now say that ${O_2}^ - $ is paramagnetic in nature.
-So, the correct option is : (D)${O_2}^ - $ .
Note: The most delicate part of this question is writing the electronic configuration. So, while doing so always keep in mind to fill the electrons according to the increasing energy level of the molecular orbitals.
(Paramagnetic are the ones with unpaired electrons and diamagnetic are the ones with all electrons paired)
Complete answer:
-First of all let us see what Molecular Orbital Theory (MOT) is.
When the Valence Bond Theory failed to explain the bonding pattern of certain complex
molecules or how certain molecules contain two or more equivalent bonds like the bonds of resonance stabilised molecules, the MOT came in its place. It helps to explain such complex bonding between atoms and to predict the distribution of electrons.
This in turn helps in predicting the molecular properties like bond order, magnetism, shape, etc.
According to this theory:
The atomic orbitals combine to form molecular orbitals. These molecular orbitals are of 2 types: bonding and antibonding molecular orbitals. Electrons prefer staying in the molecular orbitals since the molecular bonds have lower potential energy in atomic orbitals.
The order of increasing energy of molecular orbitals according to this theory is:
$\sigma 1s,{\sigma ^*}1s,\sigma 2s,{\sigma ^*}2s,\sigma 2{p_z},\pi 2{p_x} = \pi 2{p_y},{\pi ^*}2{p_x} = {\pi ^*}2{p_y},{\sigma ^*}2{p_z}$ and so on.
Now let’s start writing the configurations of various given compounds using the above given energy sequence of molecular orbitals.
For ${N_2}$ : total number of electrons = 14
Configuration: ${(\sigma 1s)^2}{({\sigma ^*}1s)^2}{(\sigma 2s)^2}{({\sigma ^*}2s)^2}{(\pi 2{p_x})^2}{(\pi 2{p_y})^2}{(\sigma 2{p_z})^2}$
Here there are no unpaired electrons and so ${N_2}$ is not paramagnetic. It is diamagnetic,
-For ${O_2}^{ - 2}$ : total number of electrons = 18 Configuration: ${(\sigma 1s)^2}{({\sigma ^*}1s)^2}{(\sigma 2s)^2}{({\sigma ^*}2s)^2}{(\sigma 2{p_z})^2}{(\pi 2{p_x})^2}{(\pi 2{p_y})^2}{({\pi ^*}2{p_x})^2}{({\pi ^*}2{p_y})^2}$
Here also there are no unpaired electrons and so ${O_2}^{ - 2}$ is also diamagnetic.
-For $C{N^ - }$ : total number of electrons = 14
Configuration: ${(\sigma 1s)^2}{({\sigma ^*}1s)^2}{(\sigma 2s)^2}{({\sigma ^*}2s)^2}{(\sigma 2{p_z})^2}{(\pi 2{p_x})^2}{(\pi 2{p_y})^2}$
Here also we can see that there are no unpaired electrons and so $C{N^ - }$ is diamagnetic.
-For ${O_2}^ - $ : total number of electrons = 17
Configuration: ${(\sigma 1s)^2}{({\sigma ^*}1s)^2}{(\sigma 2s)^2}{({\sigma ^*}2s)^2}{(\sigma 2{p_z})^2}{(\pi 2{p_x})^2}{(\pi 2{p_y})^2}{({\pi ^*}2{p_x})^2}{({\pi ^*}2{p_y})^1}$
Here we can see that there is 1 unpaired electron in the last antibonding molecular orbital. So, we can now say that ${O_2}^ - $ is paramagnetic in nature.
-So, the correct option is : (D)${O_2}^ - $ .
Note: The most delicate part of this question is writing the electronic configuration. So, while doing so always keep in mind to fill the electrons according to the increasing energy level of the molecular orbitals.
Recently Updated Pages
Basicity of sulphurous acid and sulphuric acid are
Three beakers labelled as A B and C each containing 25 mL of water were taken A small amount of NaOH anhydrous CuSO4 and NaCl were added to the beakers A B and C respectively It was observed that there was an increase in the temperature of the solutions contained in beakers A and B whereas in case of beaker C the temperature of the solution falls Which one of the following statements isarecorrect i In beakers A and B exothermic process has occurred ii In beakers A and B endothermic process has occurred iii In beaker C exothermic process has occurred iv In beaker C endothermic process has occurred
What is the stopping potential when the metal with class 12 physics JEE_Main
The momentum of a photon is 2 times 10 16gm cmsec Its class 12 physics JEE_Main
How do you arrange NH4 + BF3 H2O C2H2 in increasing class 11 chemistry CBSE
Is H mCT and q mCT the same thing If so which is more class 11 chemistry CBSE
Trending doubts
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
Write an application to the principal requesting five class 10 english CBSE
Difference Between Plant Cell and Animal Cell
a Tabulate the differences in the characteristics of class 12 chemistry CBSE
Change the following sentences into negative and interrogative class 10 english CBSE
What organs are located on the left side of your body class 11 biology CBSE
Discuss what these phrases mean to you A a yellow wood class 9 english CBSE
List some examples of Rabi and Kharif crops class 8 biology CBSE