Decreasing Order of O-O Bond Length
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77. Decreasing order of O-O bond length in the given species is
(1) $O_2^+ > O_2 > O_2^-$
(2) $O_2^+ > O_2^- > O_2$
(3) $O_2^- > O_2 > O_2^+$
(4) $O_2^- > O_2 > O_2^+$
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Hi Mohammad, let's solve this problem on molecular oxygen species together.
Decreasing Bond Length Order
To determine the bond length, we use Molecular Orbital Theory. Remember, bond length is inversely proportional to bond order.
Core Principle
Bond Order = \frac{\text{Bonding e}^- - \text{Antibonding e}^-}{2}
Let's calculate the bond order for each species. Oxygen molecule has 16 valence electrons.
| Species | Valence Electrons | Bond Order |
|---|---|---|
| $O_2^+$ | 15 | 2.5 |
| $O_2$ | 16 | 2.0 |
| $O_2^-$ | 17 | 1.5 |
For O two plus, removing an electron from the antibonding orbital increases the bond order to two point five.
Notice that as the number of antibonding electrons increases, the bond order decreases.
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