Find the electron affinity of chlorine from the following data. Enthalpy of formation of `LiCI` is `-97.5 kcal mol^(-1)`, lattice energy of `LiCI =- 197.7 kcal mol^(-1)`. Dissociation energy of chlirine is `57.6 kcal mol^(-1)`, sublimation enthalpy of lithium `=+ 38.3 kcal mol^(-1)`, ionisation energy of lithium `=123.8 kcal mol^(-1)`.

Explanation

To find the electron affinity of chlorine (Cl), we can use the Born-Haber cycle, which relates various thermodynamic quantities involved in the formation of an ionic compound. Here’s a step-by-step solution based on the provided data:

### Step 1: Write the Born-Haber Cycle Equation
The Born-Haber cycle for the formation of lithium chloride (LiCl) can be expressed as:

\[ \Delta H_f = \Delta H_{\text{sublimation}} + \Delta H_{\text{ionization}} + \frac{1}{2} \Delta H_{\text{dissociation}} + \Delta H_{\text{electron gain}} + \Delta H_{\text{lattice}} \]
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