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CHXI04:CHEMICAL BONDING AND MOLECULAR STRUCTURE

313739 The magnetic behavior of \(\mathrm{Li}_2 \mathrm{O}, \mathrm{Na}_2 \mathrm{O}_2\) and \(\mathrm{KO}_2\), respectively, are

1 diamagnetic, paramagnetic and diamagnetic

2 diamagnetic, diamagnetic and paramagnetic

3 paramagnetic, diamagnetic and paramagnetic.

4 paramagnetic, paramagnetic and diamagnetic

JEE - 2023

CHXI04:CHEMICAL BONDING AND MOLECULAR STRUCTURE

313740 Which of the following has unpaired electron (s) ?

1 \({{\rm{N}}_{\rm{2}}}\)

2 \({\rm{O}}_{\rm{2}}^{\rm{ - }}\)

3 \({\rm{N}}_{\rm{2}}^{{\rm{2 + }}}\)

4 \({\rm{O}}_{\rm{2}}^{{\rm{2 - }}}\)

JEE - 2014

CHXI04:CHEMICAL BONDING AND MOLECULAR STRUCTURE

313741 Which one of the following pairs of species have the same bond order?

1 \({\rm{C}}{{\rm{N}}^{\rm{ - }}}\,\,{\rm{and}}\,\,{\rm{N}}{{\rm{O}}^{\rm{ + }}}\)

2 \({\rm{C}}{{\rm{N}}^{\rm{ - }}}{\mkern 1mu} {\mkern 1mu} {\rm{and}}{\mkern 1mu} {\mkern 1mu} {\rm{C}}{{\rm{N}}^{\rm{ + }}}\)

3 \({\rm{O}}_{\rm{2}}^{\rm{ - }}{\mkern 1mu} {\mkern 1mu} {\rm{and}}{\mkern 1mu} {\mkern 1mu} {\rm{C}}{{\rm{N}}^{\rm{ - }}}\)

4 \({\rm{N}}{{\rm{O}}^{\rm{ + }}}\,\,{\rm{and}}\,\,{\rm{C}}{{\rm{N}}^{\rm{ + }}}\)

CHXI04:CHEMICAL BONDING AND MOLECULAR STRUCTURE

313742 The increasing order of bond order \({{\rm{O}}_{\rm{2}}}{\rm{,}}\,\,{\rm{O}}_{\rm{2}}^{\rm{ + }}{\rm{,}}\,\,{\rm{O}}_{\rm{2}}^{\rm{ - }}\,\,{\rm{and}}\,\,{\rm{O}}_{\rm{2}}^{{\rm{ - 2}}}\,\,{\rm{is}}\)

1 \({\rm{O}}_{\rm{2}}^{\rm{ + }}{\rm{,}}\,{{\rm{O}}_{\rm{2}}}{\rm{,}}\,{\rm{O}}_{\rm{2}}^{\rm{ - }}\,\,{\rm{and}}\,\,{\rm{O}}_{\rm{2}}^{{\rm{ - 2}}}\)

2 \({\rm{O}}_{\rm{2}}^{{\rm{ - 2}}}{\rm{,}}\,{\rm{O}}_{\rm{2}}^{\rm{ - }}{\rm{,}}\,{\rm{O}}_{\rm{2}}^{\rm{ + }}\,\,{\rm{and}}\,\,{{\rm{O}}_{\rm{2}}}\)

3 \({{\rm{O}}_{\rm{2}}}{\rm{,}}\,{\rm{O}}_{\rm{2}}^{\rm{ + }}{\rm{,}}\,{\rm{O}}_{\rm{2}}^{\rm{ - }}\,\,{\rm{and}}\,\,{\rm{O}}_{\rm{2}}^{{\rm{2 - }}}\)

4 \({\rm{O}}_{\rm{2}}^{{\rm{2 - }}}{\rm{,}}\,{\rm{O}}_{\rm{2}}^{\rm{ - }}{\rm{,}}\,{{\rm{O}}_{\rm{2}}}\,\,{\rm{and}}\,\,{\rm{O}}_{\rm{2}}^{\rm{ + }}\)

Explanation:

Molecular orbital electronic configuration of \({{\rm{O}}_{\rm{2}}}\) is
\({\left( {{\rm{\sigma 1s}}} \right)^{\rm{2}}}{\left( {{{\rm{\sigma }}^{\rm{*}}}{\rm{1s}}} \right)^{\rm{2}}}{\left( {{\rm{\sigma 2s}}} \right)^{\rm{2}}}{\left( {{{\rm{\sigma }}^{\rm{*}}}{\rm{2s}}} \right)^{\rm{2}}}{\left( {{\rm{\sigma 2}}{{\rm{p}}_{\rm{z}}}} \right)^{\rm{2}}}\)
\({\left( {{\rm{\pi 2}}{{\rm{p}}_{\rm{x}}}} \right)^{\rm{2}}}{\rm{ = }}{\left( {{\rm{\pi 2}}{{\rm{p}}_{\rm{y}}}} \right)^{\rm{2}}}{\left( {{{\rm{\pi }}^{\rm{*}}}{\rm{2}}{{\rm{p}}_{\rm{x}}}} \right)^{\rm{1}}}{\rm{ = }}{\left( {{{\rm{\pi }}^{\rm{*}}}{\rm{2}}{{\rm{p}}_{\rm{y}}}} \right)^{\rm{1}}}\)
\(\therefore \,{\rm{B}}{\rm{.O}}{\rm{.}}\,\,{\rm{of}}\,\,{{\rm{O}}_{\rm{2}}}{\rm{ = }}\frac{{\rm{1}}}{{\rm{2}}}\left( {{\rm{10 - 6}}} \right){\rm{ = 2}}\)
Molecular orbital electronic configuration of \({\rm{O}}_{\rm{2}}^{\rm{ + }}\)
\({\left( {{\rm{\sigma 1s}}} \right)^{\rm{2}}}{\left( {{{\rm{\sigma }}^{\rm{*}}}{\rm{1s}}} \right)^{\rm{2}}}{\left( {{\rm{\sigma 2s}}} \right)^{\rm{2}}}{\left( {{{\rm{\sigma }}^{\rm{*}}}{\rm{2s}}} \right)^{\rm{2}}}{\left( {{\rm{\sigma 2}}{{\rm{p}}_{\rm{z}}}} \right)^{\rm{2}}}\)
\({\left( {{\rm{\pi 2}}{{\rm{p}}_{\rm{x}}}} \right)^{\rm{2}}}{\rm{ = }}{\left( {{\rm{\pi 2}}{{\rm{p}}_{\rm{y}}}} \right)^{\rm{2}}}{\left( {{{\rm{\pi }}^{\rm{*}}}{\rm{2}}{{\rm{p}}_{\rm{x}}}} \right)^{\rm{1}}}\)
\(\therefore \,{\rm{B}}{\rm{.O}}{\rm{.}}\,\,{\rm{of}}\,\,{\rm{O}}_{\rm{2}}^{\rm{ + }}{\rm{ = }}\frac{{\rm{1}}}{{\rm{2}}}\left( {{\rm{10 - 5}}} \right){\rm{ = 2}}{\rm{.5}}\)
Molecular orbital electronic configuration of \({\rm{O}}_{\rm{2}}^{\rm{ - }}\)
is : \({\left( {{\rm{\sigma 1s}}} \right)^{\rm{2}}}{\left( {{{\rm{\sigma }}^{\rm{*}}}{\rm{1s}}} \right)^{\rm{2}}}{\left( {{\rm{\sigma 2s}}} \right)^{\rm{2}}}{\left( {{{\rm{\sigma }}^{\rm{*}}}{\rm{2s}}} \right)^{\rm{2}}}{\left( {{\rm{\sigma 2}}{{\rm{p}}_{\rm{z}}}} \right)^{\rm{2}}}\)
\({\left( {{\rm{\pi 2}}{{\rm{p}}_{\rm{x}}}} \right)^{\rm{2}}}{\rm{ = }}{\left( {{\rm{\pi 2}}{{\rm{p}}_{\rm{y}}}} \right)^{\rm{2}}}{\left( {{{\rm{\pi }}^{\rm{*}}}{\rm{2}}{{\rm{p}}_{\rm{x}}}} \right)^{\rm{2}}}{\rm{ = }}{\left( {{{\rm{\pi }}^{\rm{*}}}{\rm{2}}{{\rm{p}}_{\rm{y}}}} \right)^{\rm{1}}}\)
\(\therefore \,{\rm{B}}{\rm{.O}}{\rm{.}}\,\,{\rm{of}}\,\,{\rm{O}}_{\rm{2}}^{\rm{ - }}{\rm{ = }}\frac{{\rm{1}}}{{\rm{2}}}\left( {{\rm{10 - 7}}} \right){\rm{ = 1}}{\rm{.5}}\)
Molecular orbital electronic configuration of \({\rm{O}}_{\rm{2}}^{{\rm{2 - }}}\) is :
\({\left( {{\rm{\sigma 1s}}} \right)^{\rm{2}}}{\left( {{{\rm{\sigma }}^{\rm{*}}}{\rm{1s}}} \right)^{\rm{2}}}{\left( {{\rm{\sigma 2s}}} \right)^{\rm{2}}}{\left( {{{\rm{\sigma }}^{\rm{*}}}{\rm{2s}}} \right)^{\rm{2}}}{\left( {{\rm{\sigma 2}}{{\rm{p}}_{\rm{z}}}} \right)^{\rm{2}}}\)
\({\left( {{\rm{\pi 2}}{{\rm{p}}_{\rm{x}}}} \right)^{\rm{2}}}{\left( {{\rm{\pi 2}}{{\rm{p}}_{\rm{y}}}} \right)^{\rm{2}}}{\left( {{{\rm{\pi }}^{\rm{*}}}{\rm{2}}{{\rm{p}}_{\rm{x}}}} \right)^{\rm{2}}}{\left( {{{\rm{\pi }}^{\rm{*}}}{\rm{2}}{{\rm{p}}_{\rm{y}}}} \right)^{\rm{2}}}\)
\(\therefore \,{\rm{B}}{\rm{.O}}{\rm{.}}\,\,{\rm{of}}\,\,{\rm{O}}_{\rm{2}}^{{\rm{2 - }}}{\rm{ = }}\frac{{\rm{1}}}{{\rm{2}}}\left( {{\rm{10 - 8}}} \right){\rm{ = 1}}{\rm{.0}}\)
\(\therefore \) Increasing order of B.O. is: \({\rm{O}}_{\rm{2}}^{{\rm{2 - }}}{\rm{ < O}}_{\rm{2}}^{\rm{ - }}{\rm{ < }}{{\rm{O}}_{\rm{2}}}{\rm{ < O}}_{\rm{2}}^{\rm{ + }}\)

CHXI04:CHEMICAL BONDING AND MOLECULAR STRUCTURE

313739 The magnetic behavior of \(\mathrm{Li}_2 \mathrm{O}, \mathrm{Na}_2 \mathrm{O}_2\) and \(\mathrm{KO}_2\), respectively, are

1 diamagnetic, paramagnetic and diamagnetic

2 diamagnetic, diamagnetic and paramagnetic

3 paramagnetic, diamagnetic and paramagnetic.

4 paramagnetic, paramagnetic and diamagnetic

JEE - 2023

CHXI04:CHEMICAL BONDING AND MOLECULAR STRUCTURE

313740 Which of the following has unpaired electron (s) ?

1 \({{\rm{N}}_{\rm{2}}}\)

2 \({\rm{O}}_{\rm{2}}^{\rm{ - }}\)

3 \({\rm{N}}_{\rm{2}}^{{\rm{2 + }}}\)

4 \({\rm{O}}_{\rm{2}}^{{\rm{2 - }}}\)

JEE - 2014

CHXI04:CHEMICAL BONDING AND MOLECULAR STRUCTURE

313741 Which one of the following pairs of species have the same bond order?

1 \({\rm{C}}{{\rm{N}}^{\rm{ - }}}\,\,{\rm{and}}\,\,{\rm{N}}{{\rm{O}}^{\rm{ + }}}\)

2 \({\rm{C}}{{\rm{N}}^{\rm{ - }}}{\mkern 1mu} {\mkern 1mu} {\rm{and}}{\mkern 1mu} {\mkern 1mu} {\rm{C}}{{\rm{N}}^{\rm{ + }}}\)

3 \({\rm{O}}_{\rm{2}}^{\rm{ - }}{\mkern 1mu} {\mkern 1mu} {\rm{and}}{\mkern 1mu} {\mkern 1mu} {\rm{C}}{{\rm{N}}^{\rm{ - }}}\)

4 \({\rm{N}}{{\rm{O}}^{\rm{ + }}}\,\,{\rm{and}}\,\,{\rm{C}}{{\rm{N}}^{\rm{ + }}}\)

CHXI04:CHEMICAL BONDING AND MOLECULAR STRUCTURE

313742 The increasing order of bond order \({{\rm{O}}_{\rm{2}}}{\rm{,}}\,\,{\rm{O}}_{\rm{2}}^{\rm{ + }}{\rm{,}}\,\,{\rm{O}}_{\rm{2}}^{\rm{ - }}\,\,{\rm{and}}\,\,{\rm{O}}_{\rm{2}}^{{\rm{ - 2}}}\,\,{\rm{is}}\)

1 \({\rm{O}}_{\rm{2}}^{\rm{ + }}{\rm{,}}\,{{\rm{O}}_{\rm{2}}}{\rm{,}}\,{\rm{O}}_{\rm{2}}^{\rm{ - }}\,\,{\rm{and}}\,\,{\rm{O}}_{\rm{2}}^{{\rm{ - 2}}}\)

2 \({\rm{O}}_{\rm{2}}^{{\rm{ - 2}}}{\rm{,}}\,{\rm{O}}_{\rm{2}}^{\rm{ - }}{\rm{,}}\,{\rm{O}}_{\rm{2}}^{\rm{ + }}\,\,{\rm{and}}\,\,{{\rm{O}}_{\rm{2}}}\)

3 \({{\rm{O}}_{\rm{2}}}{\rm{,}}\,{\rm{O}}_{\rm{2}}^{\rm{ + }}{\rm{,}}\,{\rm{O}}_{\rm{2}}^{\rm{ - }}\,\,{\rm{and}}\,\,{\rm{O}}_{\rm{2}}^{{\rm{2 - }}}\)

4 \({\rm{O}}_{\rm{2}}^{{\rm{2 - }}}{\rm{,}}\,{\rm{O}}_{\rm{2}}^{\rm{ - }}{\rm{,}}\,{{\rm{O}}_{\rm{2}}}\,\,{\rm{and}}\,\,{\rm{O}}_{\rm{2}}^{\rm{ + }}\)

Explanation:

Molecular orbital electronic configuration of \({{\rm{O}}_{\rm{2}}}\) is
\({\left( {{\rm{\sigma 1s}}} \right)^{\rm{2}}}{\left( {{{\rm{\sigma }}^{\rm{*}}}{\rm{1s}}} \right)^{\rm{2}}}{\left( {{\rm{\sigma 2s}}} \right)^{\rm{2}}}{\left( {{{\rm{\sigma }}^{\rm{*}}}{\rm{2s}}} \right)^{\rm{2}}}{\left( {{\rm{\sigma 2}}{{\rm{p}}_{\rm{z}}}} \right)^{\rm{2}}}\)
\({\left( {{\rm{\pi 2}}{{\rm{p}}_{\rm{x}}}} \right)^{\rm{2}}}{\rm{ = }}{\left( {{\rm{\pi 2}}{{\rm{p}}_{\rm{y}}}} \right)^{\rm{2}}}{\left( {{{\rm{\pi }}^{\rm{*}}}{\rm{2}}{{\rm{p}}_{\rm{x}}}} \right)^{\rm{1}}}{\rm{ = }}{\left( {{{\rm{\pi }}^{\rm{*}}}{\rm{2}}{{\rm{p}}_{\rm{y}}}} \right)^{\rm{1}}}\)
\(\therefore \,{\rm{B}}{\rm{.O}}{\rm{.}}\,\,{\rm{of}}\,\,{{\rm{O}}_{\rm{2}}}{\rm{ = }}\frac{{\rm{1}}}{{\rm{2}}}\left( {{\rm{10 - 6}}} \right){\rm{ = 2}}\)
Molecular orbital electronic configuration of \({\rm{O}}_{\rm{2}}^{\rm{ + }}\)
\({\left( {{\rm{\sigma 1s}}} \right)^{\rm{2}}}{\left( {{{\rm{\sigma }}^{\rm{*}}}{\rm{1s}}} \right)^{\rm{2}}}{\left( {{\rm{\sigma 2s}}} \right)^{\rm{2}}}{\left( {{{\rm{\sigma }}^{\rm{*}}}{\rm{2s}}} \right)^{\rm{2}}}{\left( {{\rm{\sigma 2}}{{\rm{p}}_{\rm{z}}}} \right)^{\rm{2}}}\)
\({\left( {{\rm{\pi 2}}{{\rm{p}}_{\rm{x}}}} \right)^{\rm{2}}}{\rm{ = }}{\left( {{\rm{\pi 2}}{{\rm{p}}_{\rm{y}}}} \right)^{\rm{2}}}{\left( {{{\rm{\pi }}^{\rm{*}}}{\rm{2}}{{\rm{p}}_{\rm{x}}}} \right)^{\rm{1}}}\)
\(\therefore \,{\rm{B}}{\rm{.O}}{\rm{.}}\,\,{\rm{of}}\,\,{\rm{O}}_{\rm{2}}^{\rm{ + }}{\rm{ = }}\frac{{\rm{1}}}{{\rm{2}}}\left( {{\rm{10 - 5}}} \right){\rm{ = 2}}{\rm{.5}}\)
Molecular orbital electronic configuration of \({\rm{O}}_{\rm{2}}^{\rm{ - }}\)
is : \({\left( {{\rm{\sigma 1s}}} \right)^{\rm{2}}}{\left( {{{\rm{\sigma }}^{\rm{*}}}{\rm{1s}}} \right)^{\rm{2}}}{\left( {{\rm{\sigma 2s}}} \right)^{\rm{2}}}{\left( {{{\rm{\sigma }}^{\rm{*}}}{\rm{2s}}} \right)^{\rm{2}}}{\left( {{\rm{\sigma 2}}{{\rm{p}}_{\rm{z}}}} \right)^{\rm{2}}}\)
\({\left( {{\rm{\pi 2}}{{\rm{p}}_{\rm{x}}}} \right)^{\rm{2}}}{\rm{ = }}{\left( {{\rm{\pi 2}}{{\rm{p}}_{\rm{y}}}} \right)^{\rm{2}}}{\left( {{{\rm{\pi }}^{\rm{*}}}{\rm{2}}{{\rm{p}}_{\rm{x}}}} \right)^{\rm{2}}}{\rm{ = }}{\left( {{{\rm{\pi }}^{\rm{*}}}{\rm{2}}{{\rm{p}}_{\rm{y}}}} \right)^{\rm{1}}}\)
\(\therefore \,{\rm{B}}{\rm{.O}}{\rm{.}}\,\,{\rm{of}}\,\,{\rm{O}}_{\rm{2}}^{\rm{ - }}{\rm{ = }}\frac{{\rm{1}}}{{\rm{2}}}\left( {{\rm{10 - 7}}} \right){\rm{ = 1}}{\rm{.5}}\)
Molecular orbital electronic configuration of \({\rm{O}}_{\rm{2}}^{{\rm{2 - }}}\) is :
\({\left( {{\rm{\sigma 1s}}} \right)^{\rm{2}}}{\left( {{{\rm{\sigma }}^{\rm{*}}}{\rm{1s}}} \right)^{\rm{2}}}{\left( {{\rm{\sigma 2s}}} \right)^{\rm{2}}}{\left( {{{\rm{\sigma }}^{\rm{*}}}{\rm{2s}}} \right)^{\rm{2}}}{\left( {{\rm{\sigma 2}}{{\rm{p}}_{\rm{z}}}} \right)^{\rm{2}}}\)
\({\left( {{\rm{\pi 2}}{{\rm{p}}_{\rm{x}}}} \right)^{\rm{2}}}{\left( {{\rm{\pi 2}}{{\rm{p}}_{\rm{y}}}} \right)^{\rm{2}}}{\left( {{{\rm{\pi }}^{\rm{*}}}{\rm{2}}{{\rm{p}}_{\rm{x}}}} \right)^{\rm{2}}}{\left( {{{\rm{\pi }}^{\rm{*}}}{\rm{2}}{{\rm{p}}_{\rm{y}}}} \right)^{\rm{2}}}\)
\(\therefore \,{\rm{B}}{\rm{.O}}{\rm{.}}\,\,{\rm{of}}\,\,{\rm{O}}_{\rm{2}}^{{\rm{2 - }}}{\rm{ = }}\frac{{\rm{1}}}{{\rm{2}}}\left( {{\rm{10 - 8}}} \right){\rm{ = 1}}{\rm{.0}}\)
\(\therefore \) Increasing order of B.O. is: \({\rm{O}}_{\rm{2}}^{{\rm{2 - }}}{\rm{ < O}}_{\rm{2}}^{\rm{ - }}{\rm{ < }}{{\rm{O}}_{\rm{2}}}{\rm{ < O}}_{\rm{2}}^{\rm{ + }}\)

CHXI04:CHEMICAL BONDING AND MOLECULAR STRUCTURE

313739 The magnetic behavior of \(\mathrm{Li}_2 \mathrm{O}, \mathrm{Na}_2 \mathrm{O}_2\) and \(\mathrm{KO}_2\), respectively, are

1 diamagnetic, paramagnetic and diamagnetic

2 diamagnetic, diamagnetic and paramagnetic

3 paramagnetic, diamagnetic and paramagnetic.

4 paramagnetic, paramagnetic and diamagnetic

JEE - 2023

CHXI04:CHEMICAL BONDING AND MOLECULAR STRUCTURE

313740 Which of the following has unpaired electron (s) ?

1 \({{\rm{N}}_{\rm{2}}}\)

2 \({\rm{O}}_{\rm{2}}^{\rm{ - }}\)

3 \({\rm{N}}_{\rm{2}}^{{\rm{2 + }}}\)

4 \({\rm{O}}_{\rm{2}}^{{\rm{2 - }}}\)

JEE - 2014

CHXI04:CHEMICAL BONDING AND MOLECULAR STRUCTURE

313741 Which one of the following pairs of species have the same bond order?

1 \({\rm{C}}{{\rm{N}}^{\rm{ - }}}\,\,{\rm{and}}\,\,{\rm{N}}{{\rm{O}}^{\rm{ + }}}\)

2 \({\rm{C}}{{\rm{N}}^{\rm{ - }}}{\mkern 1mu} {\mkern 1mu} {\rm{and}}{\mkern 1mu} {\mkern 1mu} {\rm{C}}{{\rm{N}}^{\rm{ + }}}\)

3 \({\rm{O}}_{\rm{2}}^{\rm{ - }}{\mkern 1mu} {\mkern 1mu} {\rm{and}}{\mkern 1mu} {\mkern 1mu} {\rm{C}}{{\rm{N}}^{\rm{ - }}}\)

4 \({\rm{N}}{{\rm{O}}^{\rm{ + }}}\,\,{\rm{and}}\,\,{\rm{C}}{{\rm{N}}^{\rm{ + }}}\)

CHXI04:CHEMICAL BONDING AND MOLECULAR STRUCTURE

313742 The increasing order of bond order \({{\rm{O}}_{\rm{2}}}{\rm{,}}\,\,{\rm{O}}_{\rm{2}}^{\rm{ + }}{\rm{,}}\,\,{\rm{O}}_{\rm{2}}^{\rm{ - }}\,\,{\rm{and}}\,\,{\rm{O}}_{\rm{2}}^{{\rm{ - 2}}}\,\,{\rm{is}}\)

1 \({\rm{O}}_{\rm{2}}^{\rm{ + }}{\rm{,}}\,{{\rm{O}}_{\rm{2}}}{\rm{,}}\,{\rm{O}}_{\rm{2}}^{\rm{ - }}\,\,{\rm{and}}\,\,{\rm{O}}_{\rm{2}}^{{\rm{ - 2}}}\)

2 \({\rm{O}}_{\rm{2}}^{{\rm{ - 2}}}{\rm{,}}\,{\rm{O}}_{\rm{2}}^{\rm{ - }}{\rm{,}}\,{\rm{O}}_{\rm{2}}^{\rm{ + }}\,\,{\rm{and}}\,\,{{\rm{O}}_{\rm{2}}}\)

3 \({{\rm{O}}_{\rm{2}}}{\rm{,}}\,{\rm{O}}_{\rm{2}}^{\rm{ + }}{\rm{,}}\,{\rm{O}}_{\rm{2}}^{\rm{ - }}\,\,{\rm{and}}\,\,{\rm{O}}_{\rm{2}}^{{\rm{2 - }}}\)

4 \({\rm{O}}_{\rm{2}}^{{\rm{2 - }}}{\rm{,}}\,{\rm{O}}_{\rm{2}}^{\rm{ - }}{\rm{,}}\,{{\rm{O}}_{\rm{2}}}\,\,{\rm{and}}\,\,{\rm{O}}_{\rm{2}}^{\rm{ + }}\)

Explanation:

Molecular orbital electronic configuration of \({{\rm{O}}_{\rm{2}}}\) is
\({\left( {{\rm{\sigma 1s}}} \right)^{\rm{2}}}{\left( {{{\rm{\sigma }}^{\rm{*}}}{\rm{1s}}} \right)^{\rm{2}}}{\left( {{\rm{\sigma 2s}}} \right)^{\rm{2}}}{\left( {{{\rm{\sigma }}^{\rm{*}}}{\rm{2s}}} \right)^{\rm{2}}}{\left( {{\rm{\sigma 2}}{{\rm{p}}_{\rm{z}}}} \right)^{\rm{2}}}\)
\({\left( {{\rm{\pi 2}}{{\rm{p}}_{\rm{x}}}} \right)^{\rm{2}}}{\rm{ = }}{\left( {{\rm{\pi 2}}{{\rm{p}}_{\rm{y}}}} \right)^{\rm{2}}}{\left( {{{\rm{\pi }}^{\rm{*}}}{\rm{2}}{{\rm{p}}_{\rm{x}}}} \right)^{\rm{1}}}{\rm{ = }}{\left( {{{\rm{\pi }}^{\rm{*}}}{\rm{2}}{{\rm{p}}_{\rm{y}}}} \right)^{\rm{1}}}\)
\(\therefore \,{\rm{B}}{\rm{.O}}{\rm{.}}\,\,{\rm{of}}\,\,{{\rm{O}}_{\rm{2}}}{\rm{ = }}\frac{{\rm{1}}}{{\rm{2}}}\left( {{\rm{10 - 6}}} \right){\rm{ = 2}}\)
Molecular orbital electronic configuration of \({\rm{O}}_{\rm{2}}^{\rm{ + }}\)
\({\left( {{\rm{\sigma 1s}}} \right)^{\rm{2}}}{\left( {{{\rm{\sigma }}^{\rm{*}}}{\rm{1s}}} \right)^{\rm{2}}}{\left( {{\rm{\sigma 2s}}} \right)^{\rm{2}}}{\left( {{{\rm{\sigma }}^{\rm{*}}}{\rm{2s}}} \right)^{\rm{2}}}{\left( {{\rm{\sigma 2}}{{\rm{p}}_{\rm{z}}}} \right)^{\rm{2}}}\)
\({\left( {{\rm{\pi 2}}{{\rm{p}}_{\rm{x}}}} \right)^{\rm{2}}}{\rm{ = }}{\left( {{\rm{\pi 2}}{{\rm{p}}_{\rm{y}}}} \right)^{\rm{2}}}{\left( {{{\rm{\pi }}^{\rm{*}}}{\rm{2}}{{\rm{p}}_{\rm{x}}}} \right)^{\rm{1}}}\)
\(\therefore \,{\rm{B}}{\rm{.O}}{\rm{.}}\,\,{\rm{of}}\,\,{\rm{O}}_{\rm{2}}^{\rm{ + }}{\rm{ = }}\frac{{\rm{1}}}{{\rm{2}}}\left( {{\rm{10 - 5}}} \right){\rm{ = 2}}{\rm{.5}}\)
Molecular orbital electronic configuration of \({\rm{O}}_{\rm{2}}^{\rm{ - }}\)
is : \({\left( {{\rm{\sigma 1s}}} \right)^{\rm{2}}}{\left( {{{\rm{\sigma }}^{\rm{*}}}{\rm{1s}}} \right)^{\rm{2}}}{\left( {{\rm{\sigma 2s}}} \right)^{\rm{2}}}{\left( {{{\rm{\sigma }}^{\rm{*}}}{\rm{2s}}} \right)^{\rm{2}}}{\left( {{\rm{\sigma 2}}{{\rm{p}}_{\rm{z}}}} \right)^{\rm{2}}}\)
\({\left( {{\rm{\pi 2}}{{\rm{p}}_{\rm{x}}}} \right)^{\rm{2}}}{\rm{ = }}{\left( {{\rm{\pi 2}}{{\rm{p}}_{\rm{y}}}} \right)^{\rm{2}}}{\left( {{{\rm{\pi }}^{\rm{*}}}{\rm{2}}{{\rm{p}}_{\rm{x}}}} \right)^{\rm{2}}}{\rm{ = }}{\left( {{{\rm{\pi }}^{\rm{*}}}{\rm{2}}{{\rm{p}}_{\rm{y}}}} \right)^{\rm{1}}}\)
\(\therefore \,{\rm{B}}{\rm{.O}}{\rm{.}}\,\,{\rm{of}}\,\,{\rm{O}}_{\rm{2}}^{\rm{ - }}{\rm{ = }}\frac{{\rm{1}}}{{\rm{2}}}\left( {{\rm{10 - 7}}} \right){\rm{ = 1}}{\rm{.5}}\)
Molecular orbital electronic configuration of \({\rm{O}}_{\rm{2}}^{{\rm{2 - }}}\) is :
\({\left( {{\rm{\sigma 1s}}} \right)^{\rm{2}}}{\left( {{{\rm{\sigma }}^{\rm{*}}}{\rm{1s}}} \right)^{\rm{2}}}{\left( {{\rm{\sigma 2s}}} \right)^{\rm{2}}}{\left( {{{\rm{\sigma }}^{\rm{*}}}{\rm{2s}}} \right)^{\rm{2}}}{\left( {{\rm{\sigma 2}}{{\rm{p}}_{\rm{z}}}} \right)^{\rm{2}}}\)
\({\left( {{\rm{\pi 2}}{{\rm{p}}_{\rm{x}}}} \right)^{\rm{2}}}{\left( {{\rm{\pi 2}}{{\rm{p}}_{\rm{y}}}} \right)^{\rm{2}}}{\left( {{{\rm{\pi }}^{\rm{*}}}{\rm{2}}{{\rm{p}}_{\rm{x}}}} \right)^{\rm{2}}}{\left( {{{\rm{\pi }}^{\rm{*}}}{\rm{2}}{{\rm{p}}_{\rm{y}}}} \right)^{\rm{2}}}\)
\(\therefore \,{\rm{B}}{\rm{.O}}{\rm{.}}\,\,{\rm{of}}\,\,{\rm{O}}_{\rm{2}}^{{\rm{2 - }}}{\rm{ = }}\frac{{\rm{1}}}{{\rm{2}}}\left( {{\rm{10 - 8}}} \right){\rm{ = 1}}{\rm{.0}}\)
\(\therefore \) Increasing order of B.O. is: \({\rm{O}}_{\rm{2}}^{{\rm{2 - }}}{\rm{ < O}}_{\rm{2}}^{\rm{ - }}{\rm{ < }}{{\rm{O}}_{\rm{2}}}{\rm{ < O}}_{\rm{2}}^{\rm{ + }}\)

CHXI04:CHEMICAL BONDING AND MOLECULAR STRUCTURE

313739 The magnetic behavior of \(\mathrm{Li}_2 \mathrm{O}, \mathrm{Na}_2 \mathrm{O}_2\) and \(\mathrm{KO}_2\), respectively, are

1 diamagnetic, paramagnetic and diamagnetic

2 diamagnetic, diamagnetic and paramagnetic

3 paramagnetic, diamagnetic and paramagnetic.

4 paramagnetic, paramagnetic and diamagnetic

JEE - 2023

CHXI04:CHEMICAL BONDING AND MOLECULAR STRUCTURE

313740 Which of the following has unpaired electron (s) ?

1 \({{\rm{N}}_{\rm{2}}}\)

2 \({\rm{O}}_{\rm{2}}^{\rm{ - }}\)

3 \({\rm{N}}_{\rm{2}}^{{\rm{2 + }}}\)

4 \({\rm{O}}_{\rm{2}}^{{\rm{2 - }}}\)

JEE - 2014

CHXI04:CHEMICAL BONDING AND MOLECULAR STRUCTURE

313741 Which one of the following pairs of species have the same bond order?

1 \({\rm{C}}{{\rm{N}}^{\rm{ - }}}\,\,{\rm{and}}\,\,{\rm{N}}{{\rm{O}}^{\rm{ + }}}\)

2 \({\rm{C}}{{\rm{N}}^{\rm{ - }}}{\mkern 1mu} {\mkern 1mu} {\rm{and}}{\mkern 1mu} {\mkern 1mu} {\rm{C}}{{\rm{N}}^{\rm{ + }}}\)

3 \({\rm{O}}_{\rm{2}}^{\rm{ - }}{\mkern 1mu} {\mkern 1mu} {\rm{and}}{\mkern 1mu} {\mkern 1mu} {\rm{C}}{{\rm{N}}^{\rm{ - }}}\)

4 \({\rm{N}}{{\rm{O}}^{\rm{ + }}}\,\,{\rm{and}}\,\,{\rm{C}}{{\rm{N}}^{\rm{ + }}}\)

CHXI04:CHEMICAL BONDING AND MOLECULAR STRUCTURE

313742 The increasing order of bond order \({{\rm{O}}_{\rm{2}}}{\rm{,}}\,\,{\rm{O}}_{\rm{2}}^{\rm{ + }}{\rm{,}}\,\,{\rm{O}}_{\rm{2}}^{\rm{ - }}\,\,{\rm{and}}\,\,{\rm{O}}_{\rm{2}}^{{\rm{ - 2}}}\,\,{\rm{is}}\)

1 \({\rm{O}}_{\rm{2}}^{\rm{ + }}{\rm{,}}\,{{\rm{O}}_{\rm{2}}}{\rm{,}}\,{\rm{O}}_{\rm{2}}^{\rm{ - }}\,\,{\rm{and}}\,\,{\rm{O}}_{\rm{2}}^{{\rm{ - 2}}}\)

2 \({\rm{O}}_{\rm{2}}^{{\rm{ - 2}}}{\rm{,}}\,{\rm{O}}_{\rm{2}}^{\rm{ - }}{\rm{,}}\,{\rm{O}}_{\rm{2}}^{\rm{ + }}\,\,{\rm{and}}\,\,{{\rm{O}}_{\rm{2}}}\)

3 \({{\rm{O}}_{\rm{2}}}{\rm{,}}\,{\rm{O}}_{\rm{2}}^{\rm{ + }}{\rm{,}}\,{\rm{O}}_{\rm{2}}^{\rm{ - }}\,\,{\rm{and}}\,\,{\rm{O}}_{\rm{2}}^{{\rm{2 - }}}\)

4 \({\rm{O}}_{\rm{2}}^{{\rm{2 - }}}{\rm{,}}\,{\rm{O}}_{\rm{2}}^{\rm{ - }}{\rm{,}}\,{{\rm{O}}_{\rm{2}}}\,\,{\rm{and}}\,\,{\rm{O}}_{\rm{2}}^{\rm{ + }}\)

Explanation:

Molecular orbital electronic configuration of \({{\rm{O}}_{\rm{2}}}\) is
\({\left( {{\rm{\sigma 1s}}} \right)^{\rm{2}}}{\left( {{{\rm{\sigma }}^{\rm{*}}}{\rm{1s}}} \right)^{\rm{2}}}{\left( {{\rm{\sigma 2s}}} \right)^{\rm{2}}}{\left( {{{\rm{\sigma }}^{\rm{*}}}{\rm{2s}}} \right)^{\rm{2}}}{\left( {{\rm{\sigma 2}}{{\rm{p}}_{\rm{z}}}} \right)^{\rm{2}}}\)
\({\left( {{\rm{\pi 2}}{{\rm{p}}_{\rm{x}}}} \right)^{\rm{2}}}{\rm{ = }}{\left( {{\rm{\pi 2}}{{\rm{p}}_{\rm{y}}}} \right)^{\rm{2}}}{\left( {{{\rm{\pi }}^{\rm{*}}}{\rm{2}}{{\rm{p}}_{\rm{x}}}} \right)^{\rm{1}}}{\rm{ = }}{\left( {{{\rm{\pi }}^{\rm{*}}}{\rm{2}}{{\rm{p}}_{\rm{y}}}} \right)^{\rm{1}}}\)
\(\therefore \,{\rm{B}}{\rm{.O}}{\rm{.}}\,\,{\rm{of}}\,\,{{\rm{O}}_{\rm{2}}}{\rm{ = }}\frac{{\rm{1}}}{{\rm{2}}}\left( {{\rm{10 - 6}}} \right){\rm{ = 2}}\)
Molecular orbital electronic configuration of \({\rm{O}}_{\rm{2}}^{\rm{ + }}\)
\({\left( {{\rm{\sigma 1s}}} \right)^{\rm{2}}}{\left( {{{\rm{\sigma }}^{\rm{*}}}{\rm{1s}}} \right)^{\rm{2}}}{\left( {{\rm{\sigma 2s}}} \right)^{\rm{2}}}{\left( {{{\rm{\sigma }}^{\rm{*}}}{\rm{2s}}} \right)^{\rm{2}}}{\left( {{\rm{\sigma 2}}{{\rm{p}}_{\rm{z}}}} \right)^{\rm{2}}}\)
\({\left( {{\rm{\pi 2}}{{\rm{p}}_{\rm{x}}}} \right)^{\rm{2}}}{\rm{ = }}{\left( {{\rm{\pi 2}}{{\rm{p}}_{\rm{y}}}} \right)^{\rm{2}}}{\left( {{{\rm{\pi }}^{\rm{*}}}{\rm{2}}{{\rm{p}}_{\rm{x}}}} \right)^{\rm{1}}}\)
\(\therefore \,{\rm{B}}{\rm{.O}}{\rm{.}}\,\,{\rm{of}}\,\,{\rm{O}}_{\rm{2}}^{\rm{ + }}{\rm{ = }}\frac{{\rm{1}}}{{\rm{2}}}\left( {{\rm{10 - 5}}} \right){\rm{ = 2}}{\rm{.5}}\)
Molecular orbital electronic configuration of \({\rm{O}}_{\rm{2}}^{\rm{ - }}\)
is : \({\left( {{\rm{\sigma 1s}}} \right)^{\rm{2}}}{\left( {{{\rm{\sigma }}^{\rm{*}}}{\rm{1s}}} \right)^{\rm{2}}}{\left( {{\rm{\sigma 2s}}} \right)^{\rm{2}}}{\left( {{{\rm{\sigma }}^{\rm{*}}}{\rm{2s}}} \right)^{\rm{2}}}{\left( {{\rm{\sigma 2}}{{\rm{p}}_{\rm{z}}}} \right)^{\rm{2}}}\)
\({\left( {{\rm{\pi 2}}{{\rm{p}}_{\rm{x}}}} \right)^{\rm{2}}}{\rm{ = }}{\left( {{\rm{\pi 2}}{{\rm{p}}_{\rm{y}}}} \right)^{\rm{2}}}{\left( {{{\rm{\pi }}^{\rm{*}}}{\rm{2}}{{\rm{p}}_{\rm{x}}}} \right)^{\rm{2}}}{\rm{ = }}{\left( {{{\rm{\pi }}^{\rm{*}}}{\rm{2}}{{\rm{p}}_{\rm{y}}}} \right)^{\rm{1}}}\)
\(\therefore \,{\rm{B}}{\rm{.O}}{\rm{.}}\,\,{\rm{of}}\,\,{\rm{O}}_{\rm{2}}^{\rm{ - }}{\rm{ = }}\frac{{\rm{1}}}{{\rm{2}}}\left( {{\rm{10 - 7}}} \right){\rm{ = 1}}{\rm{.5}}\)
Molecular orbital electronic configuration of \({\rm{O}}_{\rm{2}}^{{\rm{2 - }}}\) is :
\({\left( {{\rm{\sigma 1s}}} \right)^{\rm{2}}}{\left( {{{\rm{\sigma }}^{\rm{*}}}{\rm{1s}}} \right)^{\rm{2}}}{\left( {{\rm{\sigma 2s}}} \right)^{\rm{2}}}{\left( {{{\rm{\sigma }}^{\rm{*}}}{\rm{2s}}} \right)^{\rm{2}}}{\left( {{\rm{\sigma 2}}{{\rm{p}}_{\rm{z}}}} \right)^{\rm{2}}}\)
\({\left( {{\rm{\pi 2}}{{\rm{p}}_{\rm{x}}}} \right)^{\rm{2}}}{\left( {{\rm{\pi 2}}{{\rm{p}}_{\rm{y}}}} \right)^{\rm{2}}}{\left( {{{\rm{\pi }}^{\rm{*}}}{\rm{2}}{{\rm{p}}_{\rm{x}}}} \right)^{\rm{2}}}{\left( {{{\rm{\pi }}^{\rm{*}}}{\rm{2}}{{\rm{p}}_{\rm{y}}}} \right)^{\rm{2}}}\)
\(\therefore \,{\rm{B}}{\rm{.O}}{\rm{.}}\,\,{\rm{of}}\,\,{\rm{O}}_{\rm{2}}^{{\rm{2 - }}}{\rm{ = }}\frac{{\rm{1}}}{{\rm{2}}}\left( {{\rm{10 - 8}}} \right){\rm{ = 1}}{\rm{.0}}\)
\(\therefore \) Increasing order of B.O. is: \({\rm{O}}_{\rm{2}}^{{\rm{2 - }}}{\rm{ < O}}_{\rm{2}}^{\rm{ - }}{\rm{ < }}{{\rm{O}}_{\rm{2}}}{\rm{ < O}}_{\rm{2}}^{\rm{ + }}\)

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