Question

The correct increasing order of bond length among the following is

• A. O$_2$$^{+}$, O$_2$, O$_2$$^{-}$, O$_2$$^{2-}$
• B. O$_2$$^{+}$, O$_2$, O$_2$$^{-}$, O$_2$$^{2-}$
• C. O$_2$$^{2-}$, O$_2$, O$_2$$^{-}$, O$_2$$^{+}$
• D. O$_2$, O$_2$$^{-}$, O$_2$$^{+}$, O$_2$$^{2-}$

Hint:

The higher the bond order, the shorter the bond length.

Answer 1

The Correct Option is A

To determine the increasing order of bond length, we examine the bond order. Bond order is inversely proportional to bond length.

1. O$_2^+$ has a bond order of 2.5 (shortest length).
2. O$_2$ has a bond order of 2. 
3. O$_2^-$ has a bond order of 1.5. 
4. O$_2^{2-}$ has a bond order of 1 (longest length).

Thus, the increasing order of bond length is O$_2^{+}$<O$_2$<O$_2^{-}$<O$_2^{2-}$.