Explanation:

\({\rm{K}}{{\rm{O}}_{\rm{2}}}\,\,{\rm{has}}\,\,{{\rm{K}}^{\rm{ + }}}\,\,{\rm{and}}\,\,{\rm{O}}_{\rm{2}}^{\rm{ - }}\) structure having one unpaired electron.

Explanation:

Bond order \(\mathrm{O}_{2}^{+}\)
(total electrons \(8+8-1=15\) )
\({\rm{ = }}\sigma {\rm{1}}\;{{\rm{s}}^{\rm{2}}},\mathop \sigma \limits^{\rm{*}} {\rm{1}}{{\rm{s}}^{\rm{2}}},\sigma {\rm{2}}\;{{\rm{s}}^{\rm{2}}},\mathop \sigma \limits^{\rm{*}} {\rm{2}}\;{{\rm{s}}^{\rm{2}}},\pi {\rm{2}}{{\rm{p}}_{\rm{x}}}^{\rm{2}}\sigma {\rm{2}}\;{\rm{p}}_z^2 \approx \pi {\rm{2}}{{\rm{p}}_{\rm{y}}}^{\rm{2}},\)
\({\rm{\pi 2p}}_{\rm{x}}^{\rm{2}} \approx {\rm{2p}}_{\rm{y}}^{\rm{2}}{\rm{,}}\mathop {\rm{\pi }}\limits^{\rm{*}} {\rm{2p}}_{\rm{x}}^{\rm{1}} \approx \mathop {\rm{\pi }}\limits^{\rm{*}} {\rm{2p}}_{\rm{y}}^{\rm{0}}\)
Bond order \(=\dfrac{\mathrm{N}_{\mathrm{b}}-\mathrm{N}_{\mathrm{a}}}{2}\)
\(=\dfrac{10-5}{2}=2.5\)
Bond order of \(\mathrm{C}_{2}\)
(total electrons \(6+6=12\) )
\( = \sigma {\rm{1}}\;{{\rm{s}}^{\rm{2}}},\mathop \sigma \limits^{\rm{*}} 1{{\rm{s}}^{\rm{2}}},\sigma {{\rm{s}}^{\rm{2}}},\sigma {\rm{2}}\;{{\rm{s}}^{\rm{2}}},\mathop \sigma \limits^{\rm{*}} {\rm{2}}\;{{\rm{s}}^{\rm{2}}},\pi {\rm{2p}}_{\rm{x}}^{\rm{2}} \approx \pi {\rm{2p}}_{\rm{y}}^{\rm{2}}\)
\({\rm{Bond}}\,{\rm{order}}\,{\rm{ = }}\,\frac{{{{\rm{N}}_{\rm{b}}} - {{\rm{N}}_{\rm{a}}}}}{{\rm{2}}}{\rm{ = }}\frac{{{\rm{8}} - {\rm{4}}}}{{\rm{2}}}{\rm{ = 2}}\)

Explanation:

Bond order \(\propto\) bond strength
From Q. \(5, \mathrm{BO}\) of \(\mathrm{O}_{2}^{+}=2.5\), and rest have \(\mathrm{BO}\) less than 2.5.
Thus, it has the strongest \(\mathrm{O}-\mathrm{O}\) bond among the given

Explanation:

Explanation:

\({\rm{K}}{{\rm{O}}_{\rm{2}}}\,\,{\rm{has}}\,\,{{\rm{K}}^{\rm{ + }}}\,\,{\rm{and}}\,\,{\rm{O}}_{\rm{2}}^{\rm{ - }}\) structure having one unpaired electron.

Explanation:

Bond order \(\mathrm{O}_{2}^{+}\)
(total electrons \(8+8-1=15\) )
\({\rm{ = }}\sigma {\rm{1}}\;{{\rm{s}}^{\rm{2}}},\mathop \sigma \limits^{\rm{*}} {\rm{1}}{{\rm{s}}^{\rm{2}}},\sigma {\rm{2}}\;{{\rm{s}}^{\rm{2}}},\mathop \sigma \limits^{\rm{*}} {\rm{2}}\;{{\rm{s}}^{\rm{2}}},\pi {\rm{2}}{{\rm{p}}_{\rm{x}}}^{\rm{2}}\sigma {\rm{2}}\;{\rm{p}}_z^2 \approx \pi {\rm{2}}{{\rm{p}}_{\rm{y}}}^{\rm{2}},\)
\({\rm{\pi 2p}}_{\rm{x}}^{\rm{2}} \approx {\rm{2p}}_{\rm{y}}^{\rm{2}}{\rm{,}}\mathop {\rm{\pi }}\limits^{\rm{*}} {\rm{2p}}_{\rm{x}}^{\rm{1}} \approx \mathop {\rm{\pi }}\limits^{\rm{*}} {\rm{2p}}_{\rm{y}}^{\rm{0}}\)
Bond order \(=\dfrac{\mathrm{N}_{\mathrm{b}}-\mathrm{N}_{\mathrm{a}}}{2}\)
\(=\dfrac{10-5}{2}=2.5\)
Bond order of \(\mathrm{C}_{2}\)
(total electrons \(6+6=12\) )
\( = \sigma {\rm{1}}\;{{\rm{s}}^{\rm{2}}},\mathop \sigma \limits^{\rm{*}} 1{{\rm{s}}^{\rm{2}}},\sigma {{\rm{s}}^{\rm{2}}},\sigma {\rm{2}}\;{{\rm{s}}^{\rm{2}}},\mathop \sigma \limits^{\rm{*}} {\rm{2}}\;{{\rm{s}}^{\rm{2}}},\pi {\rm{2p}}_{\rm{x}}^{\rm{2}} \approx \pi {\rm{2p}}_{\rm{y}}^{\rm{2}}\)
\({\rm{Bond}}\,{\rm{order}}\,{\rm{ = }}\,\frac{{{{\rm{N}}_{\rm{b}}} - {{\rm{N}}_{\rm{a}}}}}{{\rm{2}}}{\rm{ = }}\frac{{{\rm{8}} - {\rm{4}}}}{{\rm{2}}}{\rm{ = 2}}\)

Explanation:

Bond order \(\propto\) bond strength
From Q. \(5, \mathrm{BO}\) of \(\mathrm{O}_{2}^{+}=2.5\), and rest have \(\mathrm{BO}\) less than 2.5.
Thus, it has the strongest \(\mathrm{O}-\mathrm{O}\) bond among the given

Explanation:

Explanation:

\({\rm{K}}{{\rm{O}}_{\rm{2}}}\,\,{\rm{has}}\,\,{{\rm{K}}^{\rm{ + }}}\,\,{\rm{and}}\,\,{\rm{O}}_{\rm{2}}^{\rm{ - }}\) structure having one unpaired electron.

Explanation:

Bond order \(\mathrm{O}_{2}^{+}\)
(total electrons \(8+8-1=15\) )
\({\rm{ = }}\sigma {\rm{1}}\;{{\rm{s}}^{\rm{2}}},\mathop \sigma \limits^{\rm{*}} {\rm{1}}{{\rm{s}}^{\rm{2}}},\sigma {\rm{2}}\;{{\rm{s}}^{\rm{2}}},\mathop \sigma \limits^{\rm{*}} {\rm{2}}\;{{\rm{s}}^{\rm{2}}},\pi {\rm{2}}{{\rm{p}}_{\rm{x}}}^{\rm{2}}\sigma {\rm{2}}\;{\rm{p}}_z^2 \approx \pi {\rm{2}}{{\rm{p}}_{\rm{y}}}^{\rm{2}},\)
\({\rm{\pi 2p}}_{\rm{x}}^{\rm{2}} \approx {\rm{2p}}_{\rm{y}}^{\rm{2}}{\rm{,}}\mathop {\rm{\pi }}\limits^{\rm{*}} {\rm{2p}}_{\rm{x}}^{\rm{1}} \approx \mathop {\rm{\pi }}\limits^{\rm{*}} {\rm{2p}}_{\rm{y}}^{\rm{0}}\)
Bond order \(=\dfrac{\mathrm{N}_{\mathrm{b}}-\mathrm{N}_{\mathrm{a}}}{2}\)
\(=\dfrac{10-5}{2}=2.5\)
Bond order of \(\mathrm{C}_{2}\)
(total electrons \(6+6=12\) )
\( = \sigma {\rm{1}}\;{{\rm{s}}^{\rm{2}}},\mathop \sigma \limits^{\rm{*}} 1{{\rm{s}}^{\rm{2}}},\sigma {{\rm{s}}^{\rm{2}}},\sigma {\rm{2}}\;{{\rm{s}}^{\rm{2}}},\mathop \sigma \limits^{\rm{*}} {\rm{2}}\;{{\rm{s}}^{\rm{2}}},\pi {\rm{2p}}_{\rm{x}}^{\rm{2}} \approx \pi {\rm{2p}}_{\rm{y}}^{\rm{2}}\)
\({\rm{Bond}}\,{\rm{order}}\,{\rm{ = }}\,\frac{{{{\rm{N}}_{\rm{b}}} - {{\rm{N}}_{\rm{a}}}}}{{\rm{2}}}{\rm{ = }}\frac{{{\rm{8}} - {\rm{4}}}}{{\rm{2}}}{\rm{ = 2}}\)

Explanation:

Bond order \(\propto\) bond strength
From Q. \(5, \mathrm{BO}\) of \(\mathrm{O}_{2}^{+}=2.5\), and rest have \(\mathrm{BO}\) less than 2.5.
Thus, it has the strongest \(\mathrm{O}-\mathrm{O}\) bond among the given

Explanation:

Explanation:

\({\rm{K}}{{\rm{O}}_{\rm{2}}}\,\,{\rm{has}}\,\,{{\rm{K}}^{\rm{ + }}}\,\,{\rm{and}}\,\,{\rm{O}}_{\rm{2}}^{\rm{ - }}\) structure having one unpaired electron.

Explanation:

Bond order \(\mathrm{O}_{2}^{+}\)
(total electrons \(8+8-1=15\) )
\({\rm{ = }}\sigma {\rm{1}}\;{{\rm{s}}^{\rm{2}}},\mathop \sigma \limits^{\rm{*}} {\rm{1}}{{\rm{s}}^{\rm{2}}},\sigma {\rm{2}}\;{{\rm{s}}^{\rm{2}}},\mathop \sigma \limits^{\rm{*}} {\rm{2}}\;{{\rm{s}}^{\rm{2}}},\pi {\rm{2}}{{\rm{p}}_{\rm{x}}}^{\rm{2}}\sigma {\rm{2}}\;{\rm{p}}_z^2 \approx \pi {\rm{2}}{{\rm{p}}_{\rm{y}}}^{\rm{2}},\)
\({\rm{\pi 2p}}_{\rm{x}}^{\rm{2}} \approx {\rm{2p}}_{\rm{y}}^{\rm{2}}{\rm{,}}\mathop {\rm{\pi }}\limits^{\rm{*}} {\rm{2p}}_{\rm{x}}^{\rm{1}} \approx \mathop {\rm{\pi }}\limits^{\rm{*}} {\rm{2p}}_{\rm{y}}^{\rm{0}}\)
Bond order \(=\dfrac{\mathrm{N}_{\mathrm{b}}-\mathrm{N}_{\mathrm{a}}}{2}\)
\(=\dfrac{10-5}{2}=2.5\)
Bond order of \(\mathrm{C}_{2}\)
(total electrons \(6+6=12\) )
\( = \sigma {\rm{1}}\;{{\rm{s}}^{\rm{2}}},\mathop \sigma \limits^{\rm{*}} 1{{\rm{s}}^{\rm{2}}},\sigma {{\rm{s}}^{\rm{2}}},\sigma {\rm{2}}\;{{\rm{s}}^{\rm{2}}},\mathop \sigma \limits^{\rm{*}} {\rm{2}}\;{{\rm{s}}^{\rm{2}}},\pi {\rm{2p}}_{\rm{x}}^{\rm{2}} \approx \pi {\rm{2p}}_{\rm{y}}^{\rm{2}}\)
\({\rm{Bond}}\,{\rm{order}}\,{\rm{ = }}\,\frac{{{{\rm{N}}_{\rm{b}}} - {{\rm{N}}_{\rm{a}}}}}{{\rm{2}}}{\rm{ = }}\frac{{{\rm{8}} - {\rm{4}}}}{{\rm{2}}}{\rm{ = 2}}\)

Explanation:

Bond order \(\propto\) bond strength
From Q. \(5, \mathrm{BO}\) of \(\mathrm{O}_{2}^{+}=2.5\), and rest have \(\mathrm{BO}\) less than 2.5.
Thus, it has the strongest \(\mathrm{O}-\mathrm{O}\) bond among the given

Explanation: