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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.
The observed energy of activation for the reaction is

A

`(2E_(1)-E_(2)+2E_(3))/2`

B

`(E_(2)-E_(1)-2E_(3))/2`

C

`sqrt((E_(1)E_(3))/(E_(2)))`

D

`(E_(1)-E_(2))/2+E_(3)`

Text Solution

Verified by Experts

The correct Answer is:
D
Here `K=K_(3)sqrt((K_(1))/(K_(2)))`……….1 `K_(1)=A_(1)e^(-E_(1)//RT),K_(2)=A_(2)e^(-E_(2)//RT),K_(3)=A_(3)e^(-E_(3)//RT)`…..2 from (1) (2)
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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. If temperature coefficient of the observed reactionis 2,the numerical value of E_(1)-E_(2)+2E_(3) is

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. For a reversible Aunderset(K_(2))overset(K_(1))(hArr)B,DeltaH=q if pre exponential factors are same. The correct relation is

Knowledge Check

  • 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. The observed Arrhebius parameter for the reaction is

    A
    `(2A_(1)-A_(2)+2A_(3))/2`
    B
    `sqrt((A_(1))/(A_(2))).A_(3)`
    C
    `A_(1)A_(2)A_(3)`
    D
    `(A_(1).A_(3))/(A_(2))`

  • 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. Presence of a catalyst decreasesthe energy of activation of each path by half the value of E_(1) . Assuming the other factors same, the observed energy of activation would be

    A
    `E_(3)-(E_(2))/2`
    B
    `2E_(3)-E_(2)`
    C
    `E_(2)-(E_(3))/2`
    D
    `(E_(1))/2+(E_(2))/2+E_(3)`

  • 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`

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