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A certain endothermic reaction: Ato Prod...

A certain endothermic reaction: `Ato` Product, `DeltaH=+ve` proceeds ina sequence of three elementary steps with the rate constant `K_(1),K_(2)` and `K_(3)` and each one having energy of activation `E_(1),E_(2)` and `E_(3)` respectively at `25^(@)C`. The observed rate constannt for the reaction is equal to `K_(3)sqrt((K_(1))/(K_(2)))`.
`A_(1),A_(2)` and `A_(3)` are Arrhenius parameters respectively.
Which represents the correct value if catalyst is not present:

A

`DeltaH` is definitely lower than`E_(1)`

B

`DeltaH` is definitely lower than `E_(3)`

C

`DeltaH` is definitely lower than `E_(1)-E_(2)`

D

`DeltaH` is definitely lower than `(E_(1)-E_(2)+2E_(3))/2`

Text Solution

Verified by Experts

The correct Answer is:
D
`Aepsilon_(R)gtAepsilon_(R)(epsilon)gtDeltaH,((2epsilon_(3)+epsilon_(1)-epsilon_(2))/2)gtDeltaH`
`DeltaH=(E_(P)-epsilon_(R))=+ve,DeltaH=(Aepsilon_(R)-Aepsilon_(P))=+ve, (A epsilon_(R)gtAepsilon_(P)` & `epsilonR)ltepsilon_(P)`
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