Explanation:
As a nitrogen molecule ([tex]N_{2}[/tex]) contains a triple bond between the two nitrogen atoms. Therefore, there is more overlapping taking place as there are two pi bonds and one sigma bond present within a [tex]N_{2}[/tex] molecule.
Hence, in order to break a triple bond high amount of energy is required.
On the other hand, in a [tex]CH_{4}[/tex] all the hydrogen atoms are bonded by a single bond with the hydrogen atom. Hence, there are 4 sigma bonds present in a [tex]CH_{4}[/tex] molecule.
Also, a pi bond is much stronger than a sigma bond.
That is why, [tex]N_{2}[/tex] molecule requires more energy to break the bond.
