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\({N}_{{2}}\) and \({O}_{{2}}\) are converted to mono cations \({{N}_{{2}}^{+}}\) and \({{O}_{{2}}^{+}}\) respectively, which statement is wrong ?
(A) in \({{N}_{{2}}^{+}}\) , the \({N}-{N}\) bond weakens
(B) In \({O}-{2}^{+}\) , the \({O}-{O}\) bond order increase
(C) in \({{O}_{{2}}^{+}}\) , the paramagnetism decrease
(D) \({{N}_{{2}}^{+}}\) become diamagnetic

Answer

Answer: D
M.O. configuration of
\({N}_{{2}},\sigma{1}{s}^{{2}}{\sin{{g}}}{a}^{{\ast}}{1}{s}^{{2}},\sigma{2}{s}^{{2}}\sigma^{{\ast}}{2}{s}^{{2}}{\left[\matrix{\pi{2}{{p}_{{y}}^{{2}}}\\\pi{2}{{p}_{{z}}^{{2}}}}\right]}\sigma{2}{{p}_{{y}}^{{2}}}\)
\({{N}_{{2}}^{+}},{1}{s}^{{2}}\sigma^{\cdot}{1}{s}^{{2}},\sigma{2}{s}^{{2}}{s}{i}{m}{g}{a}^{{\ast}}{2}{s}^{{2}}{\left[\matrix{\pi{2}{{p}_{{y}}^{{2}}}\\\pi{2}{{p}_{{z}}^{{2}}}}\right]}\sigma{2}{{p}_{{x}}^{{1}}}\)
Thus bond order for \({N}_{{2}}={1}/{2}{\left[{10}-{4}\right]}={3},\)
Also due to one unpaired electron \({{N}_{{2}}^{+}}\) is paramangetic . Since bond order for \({{N}_{{2}}^{+}}={2.5}\) and thus \({N}-{N}\) bond in \({{N}_{{2}}^{+}}\) weakens
M.O. configuration of
\({O}_{{2}}:\sigma{1}{s}^{{2}}\sigma{s}^{{2}},{s}{i}{m}{g}{a}^{{\ast}}{2}{s}^{{2}},{s}{i}{m}{g}{a}{2}{{p}_{{x}}^{{2}}}\)
\({\underset{{{\left[\pi{2}{{p}_{{y}}^{{2}}}\right)},{\left(\pi{2}{{p}_{{z}}^{{2}}}\right)}}}{{{\left(\pi^{{\ast}}{2}{{p}_{{y}}^{{1}}}\right)}}}}{\left[\pi^{{\ast}}{2}{{p}_{{y}}^{{1}}}\right)},{\left(\pi^{+}{2}{{p}_{{z}}^{{1}}}\right)}{]}{)}\)
\({O}_{{{2}}}:\sigma{1}{s}^{{{2}}}\sigma^{{\ast}}{1}{s}^{{{2}}},\sigma{2},\sigma{s}^{{{2}}}\sigma^{{\ast}}{2}{s}^{{{2}}},\sigma{2}{{p}_{{{x}}}^{{{2}}}}\)underset([(pi2p_(y)^(2)),(pi2p_(z)^(2))]:} \({\underset{{{\left[\matrix{\pi^{{\ast}}{2}{{p}_{{{y}}}^{{{2}}}}\\\pi^{{\ast}}{{p}_{{{z}}}^{{{1}}}}}\right]}}}{}}\)
\({{O}_{{{2}}}^{{+}}}:\sigma{1}{s}^{{{2}}}\sigma^{{\ast}}{1}{s}^{{{2}}},\sigma{2}{s}^{{{2}}}\sigma^{{\ast}}{2}{s}^{{{2}}},\sigma{2}{{p}_{{{x}}}^{{{2}}}}{\left[\pi^{{\ast}}{2}{{p}_{{{y}}}^{{{1}}}}\right]}\).
Thus bond order \({O}_{{2}}\) and \({{O}_{{2}}^{+}}\) are (2) and \({2.5}\) respectively . More is bond order lesser is bobnd length .
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