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Answer :
The electronegativity of fluorine is 3.87. Option A is the correct answer.
To calculate the electronegativity of fluorine, we can use the concept of bond energies and the Pauling scale.
Given:
- Bond energy of H-H bond (Eₕ₋ₕ) = 104.2 kcal/mol
- Bond energy of F-F bond (E₋) = 36.6 kcal/mol
- Bond energy of H-F bond (Eₕ₋) = 134.6 kcal/mol
- Electronegativity of hydrogen (Xₕ) = 2.1
1. Calculate the electronegativity of fluorine (X₋) using the bond energies:
X₋ - Xₕ = √(Eₕ₋ - Eₕ₋ₕ) - √(E₋ - Eₕ₋ₕ)
X₋ - 2.1 = √(134.6 - 104.2) - √(36.6 - 104.2)
X₋ - 2.1 = √30.4 - √(-67.6)
X₋ - 2.1 = 5.51 - 8.22
X₋ - 2.1 = -2.71
X₋ = -2.71 + 2.1
X₋ = 3.87
Therefore, the electronegativity of fluorine is 3.87.
The correct answer is option A.
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