A mixture contains `F` and `Cl` atoms . The removal of an electron form each atom of the sample requires `284 kJ` while addition of an electron to each atom of mixture releases `68.8 kJ` energy .Calculate the % composition of mixture .Given `IE` per atoms for `F` and `Cl` are `27.91 xx10^(-22)kJ` and `20.77 xx10^(-22) kJ`.
Electron gain enthalpy for F and Cl are ` -5. 53 xx10 ^(-22) kJ` and `-5.78 xx 10^(22) kJ` respectively.

Explanation

To solve the problem, we need to calculate the percentage composition of a mixture of Fluorine (F) and Chlorine (Cl) atoms based on the given ionization energies and electron gain enthalpies.

### Step-by-Step Solution:

1. **Define Variables:**
Let:
- A = number of F atoms
- B = number of Cl atoms
...