Sum of bond order of and is:
JEE Chemistry 2024 Question with Solution
Answer
Correct answer:6
Step-by-step solution
Standard Method
Given: We need the sum of bond orders of and .
Find: .
Using molecular orbital theory, bond order is
For , the bond order is stated as
For , it has the same effective valence electron count and similar molecular orbital filling, so its bond order is also
Therefore, the required sum is
So, the sum of the bond orders of and is .
The answer key shows , but the solution consistently concludes ; hence the answer is taken as .
The solution also gives the equivalent structural interpretation: has bond order and also has bond order , so the total is .
Bond Interpretation Shortcut
Given: and .
Find: Sum of their bond orders.
Both species are isoelectronic and are described in the solution as having triple-bond character. Therefore,
Hence,
Therefore, the required numerical value is .
Common mistakes
A common mistake is to use the answer key key without checking the solution working. Here, the worked solution clearly gives bond order for both and , so the total is , not .
Students often forget that is isoelectronic with . That leads to assigning the wrong bond order to . Always compare electron counts before concluding bond order.
Another mistake is to count bonding and antibonding electrons incorrectly in the bond-order formula. Use
and substitute the numbers carefully.
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