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The incorrect statement among the follow...

The incorrect statement among the following is

A

The bond order of the `CO^+` molecule is unusually 2.5

B

When a magnet is dipped into liquid oxygen, it sticks to it

C

Out of `H_(2)^(+) and H_(2)^(-)` the latter is more stable due to more number of bonding electrons.

D

Bond angle is `PH_3` is less than that in `NH_3`.

Text Solution

AI Generated Solution

The correct Answer is:
To determine the incorrect statement among the options provided, we need to analyze each statement based on our understanding of molecular orbital theory, bond order, and molecular geometry. ### Step-by-Step Solution 1. **Understanding Bond Order**: - Bond order is calculated using the formula: \[ \text{Bond Order} = \frac{(\text{Number of bonding electrons} - \text{Number of antibonding electrons})}{2} \] - For \(H_2^+\) and \(H_2^-\): - \(H_2^+\) has 1 bonding electron and 0 antibonding electrons, so: \[ \text{Bond Order of } H_2^+ = \frac{(1 - 0)}{2} = 0.5 \] - \(H_2^-\) has 2 bonding electrons and 1 antibonding electron, so: \[ \text{Bond Order of } H_2^- = \frac{(2 - 1)}{2} = 0.5 \] - Both have the same bond order of 0.5, indicating they have the same stability. 2. **Analyzing Stability**: - The statement claims that \(H_2^-\) is more stable due to having more bonding electrons. However, since both species have the same bond order, they are equally stable. This statement is incorrect. 3. **Bond Angles in \(NH_3\) and \(PH_3\)**: - The bond angle in \(NH_3\) is approximately 107 degrees due to the presence of a lone pair which causes repulsion. - The bond angle in \(PH_3\) is around 90 degrees because the lone pair in \(PH_3\) is in a pure s orbital and does not contribute to bond angle repulsion in the same way as in \(NH_3\). - Thus, the statement that the bond angle in \(PH_3\) is less than in \(NH_3\) is correct. 4. **Magnetic Properties of \(O_2\)**: - \(O_2\) has two unpaired electrons in its molecular orbital configuration, making it paramagnetic. Therefore, the statement about a magnet sticking to liquid oxygen is also correct. 5. **Conclusion**: - The incorrect statement among the options provided is that \(H_2^-\) is more stable due to having more bonding electrons. Both \(H_2^+\) and \(H_2^-\) have the same bond order and thus the same stability. ### Final Answer The incorrect statement is: "Out of \(H_2^+\) and \(H_2^-\), the latter is more stable due to more number of bonding electrons."
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