For the gaseous reaction
`K+F rarrK^(o+)+F^(ɵ)`
`Delta H = 19 kcal mol^(-1)` under the condition when cations and anions are prevented by electrostatic separation from combining with each other. The `IE_(1)` of `K` is `4.3 eV`. Calculate `Delta_("eg")H^(ɵ)` of `F`.

Explanation

To solve the problem, we need to calculate the electron gain enthalpy (ΔegH°) of fluorine (F) based on the given reaction and data. Here’s a step-by-step solution:

### Step 1: Understand the Reaction
The reaction given is:
\[ K + F \rightarrow K^+ + F^- \]
This indicates that potassium (K) loses an electron to form a cation (K⁺), and fluorine (F) gains an electron to form an anion (F⁻).

### Step 2: Use the Given Data
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