JEE Mains · Chemistry · STD 11 - 4. Chemical bonding and molecular structure

Given below are two statements :
Statement (I) : The correct sequence of bond lengths in the following species is :
\(O_2^+ < O_2 < O_2^- < O_2^{2-}\)
Statement (II) : The correct sequence of number of unpaired electrons in the following species is :
\(O_2 > O_2^+ > O_2^- > O_2^{2-}\)
In the light of the above statements, choose the correct answer from the options given below :

A Both Statement I and Statement II are true
B Both Statement I and Statement II are false
C Statement I is true but Statement II is false
D Statement I is false but Statement II is true

Verified Solution

Answer & Solution

Correct Answer

(C) Statement I is true but Statement II is false

Step-by-step Solution

Detailed explanation

The bond order of the given oxygen species can be calculated using molecular orbital theory: For \(O_2\) (16 electrons), the configuration is Sigma 1s2, Sigma* 1s2, Sigma 2s2, Sigma* 2s2, Sigma 2pz2, (Pi 2px2, Pi 2py2), (Pi* 2px1, Pi* 2py1 . Bond order =…

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.

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