Q85 / 200 · NEET 2010 (Screening) · Chemistry

Which one of the following species does not exist under normal conditions ?

  • A
    $\mathrm{Be}_2^{+}$
  • Correct answer
    B
    $\mathrm{Be}_2$
  • C
    $\mathrm{B}_2$
  • D
    $\mathrm{Li}_2$

Solution

Key Idea Molecules with zero bond order, do not exist. (a) $\mathrm{Be}_2^{+}(4+4-1=7)=$ $$ \begin{aligned} & \sigma 1 \mathrm{~s}^2, \sigma 1 \mathrm{~s}^2, \sigma 2 \mathrm{~s}^2, \sigma 2 \mathrm{~s}^1 \\ & \mathrm{BO}=\frac{4-3}{2}=0.5 \end{aligned} $$ (b) $\mathrm{Be}_2(4+4=8)=\sigma 1 \mathrm{~s}^2, \sigma 1 \mathrm{~s}^2, \sigma 2 \mathrm{~s}^2, \sigma 2 \mathrm{~s}^2$ $$ \mathrm{BO}=\frac{4-4}{2}=0 $$ (c) $\mathrm{B}_2(5+5=10)$ $$ \begin{gathered} =\sigma 1 \mathrm{~s}^2, \sigma 1 \mathrm{~s}^2, \sigma 2 \mathrm{~s}^2, \sigma 2 \mathrm{~s}^2, \pi 2 p_{\mathrm{x}}^1 \approx \pi 2 \mathrm{p}_{\mathrm{y}}^1 \\ \mathrm{BO}=\frac{6-4}{2}=1 \end{gathered} $$ (d) $$ \begin{aligned} & \operatorname{Li}_2(3+3=6) \\ & =\sigma 1 \mathrm{~s}^2, \sigma 1 \mathrm{~s}^2, \sigma 2 \mathrm{~s}^2 \\ & =\frac{4-2}{2}=1 \end{aligned} $$ $\mathrm{BO}=\frac{4-2}{2}=1$ Thus, $\mathrm{Be}_2$ does not exist under normal conditions.

Hence, the correct answer is option: 'B'.

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