To determine the correct sequence of bond enthalpy for the \(C - X\) bond in halomethanes (\(CH_3 - X\)), we need to understand the concept of bond enthalpy and how it relates to different halogens (F, Cl, Br, I). Bond enthalpy is the energy required to break a bond in one mole of gaseous molecules. It is a measure of bond strength; higher bond enthalpy indicates a stronger bond.
The strength of the \(C - X\) bond decreases as the size of the halogen increases. This is because as the atomic size increases down the group (from F to I), the bond length increases and the bond becomes weaker.
For the halogens bonded to the methyl group (\(CH_3\)), this order of size is:
The bond enthalpy follows the reverse order of atomic size due to increased bond length and decreased bond strength with larger halogens. Therefore, the correct bond enthalpy sequence is:
Hence, the correct order is \(CH_3-F > CH_3-Cl > CH_3-Br > CH_3-I\).
This reasoning matches with the given correct answer option:
\(CH _{3}- F > CH _{3}- Cl > CH _{3}- Br > CH _{3}- I\)