The decomposition of ethane into ethene and hydrogen involves 5 different steps, having rate constants K_(1), K_(2), K_(3), K_(4) and K_(5). The rate law is given by: (-d[C_(2)H_(6)])/(dt)=((K_(1)K_(3)K_(4))/(K_(5)))^((1)/(2))[C_(2)H_(6)] if E_(a_(1))(10 kJ //mol), E_(a_(3))(5kJ//mol),E_(a_(4))(3kJ//mol)) and E_(a_(5))(0) are the energies of activation associated with 1^(st), 3^(rd), 4^(th) and 5^(th) steps respectively, find the overall energy of activation for ethane decomposition.

The decomposition of ethane into ethene and hydrogen involves 5 differ

1.	The decomposition of ethane into ethene and hydrogen involves 5 different steps, having rate constants K_(1), K_(2), K_(3), K_(4) and K_(5). The rate law is given by: (-d[C_(2)H_(6)])/(dt)=((K_(1)K_(3)K_(4))/(K_(5)))^((1)/(2))[C_(2)H_(6)] if E_(a_(1))(10 kJ //mol), E_(a_(3))(5kJ//mol),E_(a_(4))(3kJ//mol)) and E_(a_(5))(0) are the energies of activation associated with 1^(st), 3^(rd), 4^(th) and 5^(th) steps respectively, find the overall energy of activation for ethane decomposition.
Answer» ANSWER :`9kJ//mol`