The electron gain enthalpy (in kJ/mole) of F, O, N and C respectively are :

Options

A. `-328,+31,-141,-22`
B. `-328,-122,-141,+31`
C. `-328,+31,-121,-141`
D. `-328,-14,+31` and -122

Explanation

To determine the electron gain enthalpy of Fluorine (F), Oxygen (O), Nitrogen (N), and Carbon (C), we need to analyze the electronic configurations and the stability of the resulting anions after each element gains an electron.

### Step-by-Step Solution:

1. **Understanding Electron Gain Enthalpy**:
- Electron gain enthalpy is the energy change when an electron is added to a neutral atom in the gas phase. If energy is released, the enthalpy is negative; if energy is absorbed, it is positive.

2. **Write the Electronic Configurations**:
- Fluorine (F): 1s² 2s² 2p⁵
- Oxygen (O): 1s² 2s² 2p⁴
- Nitrogen (N): 1s² 2s² 2p³
- Carbon (C): 1s² 2s² 2p²

3. **Adding an Electron**:
- For Fluorine (F): When F gains an electron, it becomes F⁻:
- New configuration: 1s² 2s² 2p⁶ (fully filled, stable)
- For Oxygen (O): When O gains an electron, it becomes O⁻:
- New configuration: 1s² 2s² 2p⁵ (stable, but less stable than F⁻)
- For Nitrogen (N): When N gains an electron, it becomes N⁻:
- New configuration: 1s² 2s² 2p⁴ (less stable than N, as it moves from a half-filled to a filled state)
- For Carbon (C): When C gains an electron, it becomes C⁻:
- New configuration: 1s² 2s² 2p³ (stable, as it becomes half-filled)

4. **Evaluating Stability and Energy Changes**:
- Fluorine: Very stable after gaining an electron, thus large negative electron gain enthalpy.
- Oxygen: Stable after gaining an electron, thus negative electron gain enthalpy, but less negative than F.
- Nitrogen: Becomes less stable after gaining an electron, thus positive electron gain enthalpy.
- Carbon: Gains stability by becoming half-filled, thus negative electron gain enthalpy.

5. **Conclusion**:
- The order of electron gain enthalpy from most negative to least negative (or positive) is:
- F < O < C < N
- Therefore, the electron gain enthalpy values are negative for F, O, and C, while N has a positive value.

### Final Answer:
The electron gain enthalpy (in kJ/mole) of F, O, N, and C respectively are:
- F: Highly negative
- O: Negative
- C: Negative
- N: Positive