NVAEasyJEE 2024Molecular Orbital Theory

JEE Chemistry 2024 Question with Solution

Sum of bond order of CO\mathrm{CO} and NO+\mathrm{NO}^+ is:

Answer

Correct answer:6

Step-by-step solution

Standard Method

Given: We need the sum of bond orders of CO\mathrm{CO} and NO+\mathrm{NO}^+.

Find: Bond order of CO+Bond order of NO+\text{Bond order of CO} + \text{Bond order of NO}^+.

Using molecular orbital theory, bond order is

Bond order=NbNa2\text{Bond order} = \frac{N_b - N_a}{2}

For CO\mathrm{CO}, the bond order is stated as

822=3\frac{8-2}{2} = 3

For NO+\mathrm{NO}^+, it has the same effective valence electron count and similar molecular orbital filling, so its bond order is also

822=3\frac{8-2}{2} = 3

Therefore, the required sum is

3+3=63 + 3 = 6

So, the sum of the bond orders of CO\mathrm{CO} and NO+\mathrm{NO}^+ is 66.

The answer key shows 55, but the solution consistently concludes 66; hence the answer is taken as 66.

The solution also gives the equivalent structural interpretation: CO\mathrm{CO} has bond order 33 and NO+\mathrm{NO}^+ also has bond order 33, so the total is 66.

Bond Interpretation Shortcut

Given: CO\mathrm{CO} and NO+\mathrm{NO}^+.

Find: Sum of their bond orders.

Both species are isoelectronic and are described in the solution as having triple-bond character. Therefore,

Bond order of CO=3,Bond order of NO+=3\text{Bond order of CO} = 3, \qquad \text{Bond order of NO}^+ = 3

Hence,

3+3=63 + 3 = 6

Therefore, the required numerical value is 66.

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 33 for both CO\mathrm{CO} and NO+\mathrm{NO}^+, so the total is 66, not 55.

  • Students often forget that NO+\mathrm{NO}^+ is isoelectronic with CO\mathrm{CO}. That leads to assigning the wrong bond order to NO+\mathrm{NO}^+. Always compare electron counts before concluding bond order.

  • Another mistake is to count bonding and antibonding electrons incorrectly in the bond-order formula. Use

    Bond order=NbNa2\text{Bond order} = \frac{N_b - N_a}{2}

    and substitute the numbers carefully.

Practice more Molecular Orbital Theory questions

Get unlimited AI-adaptive practice, mastery tracking, and an AI tutor that explains every step — free to start.

Related questions