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Question 8.3.1: a. What is the bond order of the boron–oxygen bonds in the b......

a. What is the bond order of the boron–oxygen bonds in the borate ion, BO_{3} ^{3−}?
b. Which molecule has the shortest carbon–carbon bond: C_{2}H_{4}, C_2H_2,\text{ or } C_{2}H_{6}?
c. Which molecule has the weakest carbon–carbon bond: C_{2}H_{4}, C_{2}H_{2}, or C_{2}H_{6}?

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You are asked to identify the bond order in a molecule or ion and to use bond order to make predictions about relative bond length or bond energy in a series of molecules or ions.
You are given the chemical formula of a molecule or ion, or a series of molecules or ions.
a. The Lewis structure for the borate ion shows three boron–oxygen single bonds. Each B—O bond has a bond order of 1.

\left[\begin{matrix} \,\,\,\, :\overset{..}{\underset{|}{O}}: \\ \,\,\,\overset{..}{:\underset{..}{O}}- B- \overset{..}{\underset{..}{O}:} \end{matrix} \right] ^{3-}

b. Bond length decreases with increasing bond order. C_{2}H_{2} has the highest carbon–carbon bond order and the shortest carbon–carbon bond.

\begin{matrix}&\begin{matrix} \underset{|}{H} \quad \underset{|}{H}\\H- \underset{|}{C} – \underset{|}{C} – H\\H\quad \, H \end{matrix}& \begin{matrix} H\qquad \qquad \quad H\\\overset{\diagdown \qquad \qquad \diagup }{\underset{\diagup \qquad \qquad\diagdown }{C=C}}\\H\qquad \qquad \quad H\end{matrix}& \begin{matrix}H-C\equiv C-H \end{matrix}\\\text{CC bond order:}&1&2&3 \end{matrix}

c. Bond energy decreases with decreasing bond order. C_{2}H_{6} has the lowest carbon–carbon bond order and the weakest carbon–carbon bond.

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