1.

A reaction takes place in theee steps: the rate constant are `k_(1), k_(2), and k_(3)`. The overall rate constant `k=(k_(1)k_(3))/(k_(2))`. If `E_(1), E_(2)`, and `E_(3)` (energy of activation) are `60, 30` and `10kJ`, respectively, the overall energy of activation isA. `40`B. `30`C. `400`D. `60`

Answer» Correct Answer - A
`k_(1) = Ae^(-E_(a_(1))//RT)`
`k_(2) = Ae^(-E_(a_(2))//RT)`
`k_(3) = Ae^(-E_(a_(3))//RT)`
Overall rate:
`k = (k_(1)k_(3))/(k_(2))`
`:.` Overall `E_(a) = E_(a_(1)) + E_(a_(3))+E_(a_(2))`
`= 60 + 10 - 30`
`= 40 kJ`


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