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 certain endothermic reaction: Ato Product, DeltaH=+ve proceeds ina s

1.	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
Answer» `(2E_(1)-E_(2)+2E_(3))/2` `(E_(2)-E_(1)-2E_(3))/2` `SQRT((E_(1)E_(3))/(E_(2)))` `(E_(1)-E_(2))/2+E_(3)` Solution :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)