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Molecular orbital theory Questions in English
Class 11 Chemistry · Chemical Bonding and Molecular Structure · Molecular orbital theory
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Given below are two statements:
Statement $(I)$: The correct sequence of bond lengths in the following species is:
$O_2^+ < O_2 < O_2^- < O_2^{2-}$
Statement $(II)$: The correct sequence of number of unpaired electrons in the following species is:
$O_2 > O_2^+ > O_2^- > O_2^{2-}$
Statement $(I)$: The correct sequence of bond lengths in the following species is:
$O_2^+ < O_2 < O_2^- < O_2^{2-}$
Statement $(II)$: The correct sequence of number of unpaired electrons in the following species is:
$O_2 > O_2^+ > O_2^- > O_2^{2-}$
A
Both Statement $I$ and Statement $II$ are true
B
Both Statement $I$ and Statement $II$ are false
C
Statement $I$ is true but Statement $II$ is false
D
Statement $I$ is false but Statement $II$ is true
Solution
(C) Statement $I$: According to Molecular Orbital Theory $(MOT)$,the bond orders are: $O_2^+ (2.5)$,$O_2 (2.0)$,$O_2^- (1.5)$,and $O_2^{2-} (1.0)$.
Since bond length is inversely proportional to bond order,the correct sequence of bond lengths is $O_2^+ < O_2 < O_2^- < O_2^{2-}$. Thus,Statement $I$ is true.
Statement $II$: The number of unpaired electrons in these species are: $O_2$ $(2)$,$O_2^+$ $(1)$,$O_2^-$ $(1)$,and $O_2^{2-} (0)$.
The correct sequence is $O_2 > O_2^+ = O_2^- > O_2^{2-}$.
Therefore,the sequence given in Statement $II$ $(O_2 > O_2^+ > O_2^- > O_2^{2-})$ is incorrect because $O_2^+$ and $O_2^-$ have the same number of unpaired electrons. Thus,Statement $II$ is false.
Since bond length is inversely proportional to bond order,the correct sequence of bond lengths is $O_2^+ < O_2 < O_2^- < O_2^{2-}$. Thus,Statement $I$ is true.
Statement $II$: The number of unpaired electrons in these species are: $O_2$ $(2)$,$O_2^+$ $(1)$,$O_2^-$ $(1)$,and $O_2^{2-} (0)$.
The correct sequence is $O_2 > O_2^+ = O_2^- > O_2^{2-}$.
Therefore,the sequence given in Statement $II$ $(O_2 > O_2^+ > O_2^- > O_2^{2-})$ is incorrect because $O_2^+$ and $O_2^-$ have the same number of unpaired electrons. Thus,Statement $II$ is false.
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