Answer : The bond dissociation energy is 1656 kJ/mol
Explanation :
In methane, the energy required to break the one C-H bond is 414 kJ/mol.
Now we have to determine the bond dissociation energy for the breaking of all the bonds in a mole of methane.
The formula of methane is, [tex]CH_4[/tex]
In methane, there are 4 number of C-H bonds. So, the bond dissociation energy [tex]\Delta H[/tex] will be:
[tex]\Delta H_{CH_4}=4\times \text{Bond energy of C-H bond}[/tex]
Now put the value of bond energy of C-H bond in this expression, we get:
[tex]\Delta H_{CH_4}=4\times 414kJ/mol[/tex]
[tex]\Delta H_{CH_4}=1656kJ/mol[/tex]
Hence, the bond dissociation energy is 1656 kJ/mol
