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A reaction takes place in three steps: t...

A reaction takes place in three 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 is

A

`40`

B

`30`

C

`400`

D

`60`

Text Solution

Verified by Experts

The correct Answer is:
A
`K = Ae^(-Ea//RT) :. Ae-^(E_(a)//RT) =Ae^((-epsi_(1)-epsi_(3)+epsi_(2))/(RT))`
`E_(a) = E_(1)+E_(3) - E_(2) = 60+10-30=40 kJ`
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