Which of the following properties can be determined by using Born-Haber cycle ?

Options

A. Hydration energy of ion
B. Electron gain enthalpy
C. lattice enegy
D. Electronegativity

Explanation

To determine which properties can be assessed using the Born-Haber cycle, we can follow these steps:

### Step 1: Understand the Born-Haber Cycle
The Born-Haber cycle is a thermodynamic cycle that relates the lattice energy of an ionic compound to various other energy changes involved in the formation of that compound from its constituent elements. It is particularly useful for calculating lattice energies and other related properties.

### Step 2: Identify the Properties in Question
The properties listed in the question are:
1. Hydration energy of ion
2. Electron gain enthalpy
3. Lattice energy
4. Electronegativity

### Step 3: Analyze Each Property
- **Hydration Energy of Ion**: This property refers to the energy released when ions are surrounded by water molecules. It is not directly determined by the Born-Haber cycle.

- **Electron Gain Enthalpy**: This is the energy change when an electron is added to a neutral atom to form an anion. This property can be determined using the Born-Haber cycle, as it involves the energy changes associated with the formation of ions.

- **Lattice Energy**: This is the energy released when gaseous ions combine to form an ionic solid. The Born-Haber cycle is specifically designed to calculate lattice energy, making it a key property that can be determined using this cycle.

- **Electronegativity**: This is a measure of the tendency of an atom to attract a bonding pair of electrons. Electronegativity cannot be determined using the Born-Haber cycle.

### Step 4: Conclusion
From the analysis, we can conclude that the properties that can be determined using the Born-Haber cycle are:
- **Electron Gain Enthalpy**
- **Lattice Energy**

Thus, the correct options are the second (Electron Gain Enthalpy) and third (Lattice Energy).

### Final Answer
The properties that can be determined by using the Born-Haber cycle are:
- Electron Gain Enthalpy
- Lattice Energy