The conservation of gaseous atoms `K` and `F` to `K^(o+)` and `F^(ɵ)` absorbs `0.85 eV` of energy. If the `IE` and `Delta_("eg")H^(ɵ)` of `K` and `F` have magnitudes in the ratio of `7:6`, what is the electron gain enthalpy `(Delta_("eg")H^(ɵ))` of fluorine ?

Explanation

To solve the problem, we will follow these steps:

### Step 1: Define the variables
Let:
- \( x \) = Ionization energy (IE) of potassium (K)
- \( y \) = Electron gain enthalpy (\( \Delta_{eg}H^\circ \)) of fluorine (F)

### Step 2: Write the energy conservation equation
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