To determine the correct order of bond dissociation enthalpy of the halogens, it's important to understand the factors that influence bond dissociation enthalpy and how they apply to the halogens: fluorine (F2), chlorine (Cl2), bromine (Br2), and iodine (I2).
Bond dissociation enthalpy is the energy required to break a bond in a molecule. Several factors affect this, including bond strength and atomic sizes:
- Bond Strength: Generally, the larger the atoms involved in the bond, the weaker and longer the bond tends to be, leading to lower bond dissociation enthalpy.
- Atomic Size and Electronegativity: Smaller atoms with higher electronegativity tend to form stronger bonds.
For the diatomic halogens, the order of bond dissociation enthalpy from strongest to weakest can be explained as follows:
- Cl2 has the highest bond dissociation enthalpy among halogens because chlorine atoms have an optimal balance between atomic size and bond strength.
- Br2 follows because the atomic size of bromine is larger than chlorine, making the bond longer and slightly weaker.
- F2 is next, although fluorine is small and highly electronegative, the F-F bond is weakened due to electron-electron repulsions in the small space between the two fluorine atoms.
- I2 has the lowest bond dissociation enthalpy due to its large atomic size, leading to a long and weak bond.
Therefore, the correct order of bond dissociation enthalpy for halogens is:
\(Cl_{2} > Br_{2} > F_{2} > I_{2}\)
Justifying the options:
- Option 1: \(Cl _{2}> F _{2}> Br _{2}> I _{2}\) is incorrect because F2 should have a lower bond dissociation enthalpy than Br2.
- Option 2: \(I _{2}> Br _{2}> Cl _{2}> F _{2}\) is incorrect because it reverses the actual order, predicting I2 to have the highest enthalpy.
- Option 3: \(Cl _{2}> Br _{2}> F _{2}> I _{2}\) is correct.
- Option 4: \(F _{2}> Cl _{2}> Br _{2}> I _{2}\) is incorrect as it places F2 with a higher dissociation enthalpy than Cl2.