Electron affinities generally become more favorable (more negative) as you move from left to right across a period. However, the electron affinity for N is less favorable than the electron affinity for C, as shown below.

[tex]\[
\begin{array}{l}
C (g) + e^{-} \rightarrow C^{-} (g) \quad EA = -122 \, \text{kJ/mol} \\
N (g) + e^{-} \rightarrow N^{-} (g) \quad EA \ \textgreater \ 0 \, \text{kJ/mol}
\end{array}
\][/tex]

Which of the following best helps to explain why the electron affinity for N is less favorable than the electron affinity for C?

A. The additional electron in N would enter a higher energy orbital.
B. The additional electron in N would pair with an existing electron, causing repulsion.
C. The atomic radius of N is smaller, increasing electron-electron repulsion.
D. The nuclear charge of N is higher, but the shielding effect is not significant.



Answer :

To understand why the electron affinity for nitrogen (N) is less favorable than that for carbon (C), let's examine the electronic configurations and the concept of electron affinity in detail.

### Electron Configurations

1. Carbon (C):
- Atomic number: 6
- Ground-state electronic configuration: 1s² 2s² 2p²

2. Nitrogen (N):
- Atomic number: 7
- Ground-state electronic configuration: 1s² 2s² 2p³

### Electron Affinity

Electron affinity is the energy change when an electron is added to a neutral atom in the gas phase to form a negative ion. A negative value of electron affinity indicates that energy is released when the electron is added, making the process exothermic and generally favorable.

### Explanation of Electron Affinity Trends

1. General Trend:
As you move from left to right across a period on the periodic table, electron affinity typically becomes more negative (more favorable), as atoms are more inclined to gain an electron to achieve a stable noble gas configuration.

2. Specific Observations for Carbon and Nitrogen:
- Carbon has an electron affinity of -122 kJ/mol, indicating it releases energy when it gains an electron.
- Nitrogen has an electron affinity greater than 0 kJ/mol, indicating it either requires energy to gain an electron or releases less energy compared to carbon.

### Half-Filled Stability & Electron-Electron Repulsion

- Half-Filled Stability:
Nitrogen has a half-filled p orbital (configuration: 2p³). Half-filled subshells are relatively more stable due to exchange energy and symmetrical distribution of electrons. This stability means that adding an extra electron to nitrogen would disrupt this stable configuration.

- Electron-Electron Repulsion:
When an extra electron is added to nitrogen, it goes into the already half-filled 2p orbital, resulting in increased electron-electron repulsion. This repulsion makes the process of gaining an extra electron less favorable energetically.

In contrast, carbon, with the configuration 2p², does not have the added stability of a half-filled subshell. Therefore, it does not face the same level of electron-electron repulsion when an additional electron is added. This makes carbon more willing to accept an extra electron compared to nitrogen.

### Conclusion

The less favorable electron affinity of nitrogen compared to carbon can be best explained by the half-filled stability of nitrogen's p orbitals and the increased electron-electron repulsion experienced when adding an extra electron to nitrogen. This makes the electron affinity for nitrogen less exothermic, resulting in a value greater than 0 kJ/mol, opposed to carbon which has an electron affinity of -122 kJ/mol.