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Correct order of dissociation energy of ...

Correct order of dissociation energy of `N_(2)` and `N_(2)^(+)` is:

A

`N_(2) gt N_(2)^(+)`

B

`N_(2) = N_(2)^(+)`

C

`N_(2)^(+) gt N_(2)`

D

None

Text Solution

AI Generated Solution

The correct Answer is:
To determine the correct order of dissociation energy of \( N_2 \) and \( N_2^+ \), we need to analyze the bonding and stability of both species. ### Step-by-Step Solution: 1. **Understanding the Molecular Structure of \( N_2 \)**: - Nitrogen (\( N \)) has the electronic configuration \( 1s^2 2s^2 2p^3 \). - In \( N_2 \), two nitrogen atoms share three pairs of electrons, forming a triple bond. - This triple bond consists of one sigma bond and two pi bonds, making \( N_2 \) a very stable molecule. 2. **Stability of \( N_2 \)**: - The bond order of \( N_2 \) is 3 (due to the three bonding pairs). - All electrons in \( N_2 \) are paired, which contributes to its stability and high bond dissociation energy. 3. **Understanding the Molecular Structure of \( N_2^+ \)**: - \( N_2^+ \) is formed by removing one electron from \( N_2 \). - This results in one unpaired electron, making \( N_2^+ \) paramagnetic. - The bond order of \( N_2^+ \) is still 2.5 (since one bonding electron is removed), but the presence of an unpaired electron reduces the overall stability. 4. **Comparing Dissociation Energies**: - The bond dissociation energy is the energy required to break the bonds in a molecule. - For \( N_2 \), the dissociation energy is high due to the strong triple bond and the stability of the molecule. - For \( N_2^+ \), the dissociation energy is lower because the removal of an unpaired electron is easier than breaking a bond with paired electrons. 5. **Conclusion**: - Since \( N_2 \) has a higher dissociation energy than \( N_2^+ \), the correct order of dissociation energy is: \[ D(N_2) > D(N_2^+) \] ### Final Answer: The correct order of dissociation energy is \( D(N_2) > D(N_2^+) \).
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Correct order of bond dissociation energy

Arrange the following species in the decreasing order of their bond dissociation energy : N_(2), N_(2)^(+), N_(2)^(-), N_(2)^(2-)

Knowledge Check

  • The relationship between the dissociation energy of N_2 and N_2^+ is

    A
    dissociation energy of `N_(2) ` = dissociation energy of `N_(2)^(+)`
    B
    dissociation energy of `N_(2)` can either be lower or higher than the dissociation energy of `N_(2)^(+)`
    C
    dissociation energy of `N_(2) gt ` dissociation energy of `N_(2)^(+)`
    D
    dissociation energy of `N_(2)^(+) gt ` dissociation energy of `N_(2)`.
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