Answer:
Bond energy of carbon-fluorine bond is 485 kJ/mol
Explanation:
Enthalpy change for a reaction, is given as:
[tex]\Delta H_{rxn}=\sum [n_{i}\times (E_{bond})_{i}]-\sum [n_{j}\times (E_{bond})_{j}][/tex]
Where [tex](E_{bond})_{i}[/tex] and [tex](E_{bond})_{j}[/tex] represents average bond energy in breaking "i" th bond and forming "j" th bond respectively.[tex]n_{i}[/tex] and [tex]n_{j}[/tex] are number of moles of bond break and form respectively.
In this reaction, one mol of C=C, four moles of C-H and one mol of F-F bonds are broken. One mol of C-C bond, four moles of C-H bonds and two moles of C-F bonds are formed
So, [tex]-549kJ=(1mol\times 614kJ/mo)+(4mol\times E_{C-H})+(1mol\times 154kJ/mol)-(1mol\times 347kJ/mol)-(4mol\times E_{C-H})-(2mol\times E_{C-F})[/tex]
or, [tex]-549kJ=(1mol\times 614kJ/mo)+(1mol\times 154kJ/mol)-(1mol\times 347kJ/mol)-(2mol\times E_{C-F})[/tex]
or, [tex]E_{C-F}=485kJ/mol[/tex]
So bond energy of carbon-fluorine bond is 485 kJ/mol