VIT Engineering VIT Engineering Solved Paper-2011

  • question_answer
    Which of the following is correct comparison of the stability of the molecules?                    

    A)  \[CN>O_{2}^{+}\]        

    B)  \[CN={{N}_{2}}\]

    C)  \[{{N}_{2}}<{{O}_{2}}\]        

    D)  \[H_{2}^{+}>He_{2}^{+}\]

    Correct Answer: D

    Solution :

     Bond order oc stability When the bond order of two molecules are same, the molecule with least number of antiboding electrons is more stable. Thus, \[H_{2}^{+}(l)=\sigma 1{{s}^{1}}\] \[BO=\frac{1-0}{2}=0.5\] \[He_{2}^{+}(3)=\sigma 1{{s}^{2}},\overset{*}{\mathop{\sigma }}\,1{{s}^{1}}\] \[BO=\frac{2-1}{2}=0.5\] Hence, stability of \[H_{2}^{+}>\] stability of \[He_{2}^{+}\]


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