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 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 Arrhebius parameter for the reaction is
Answer» `(2A_(1)-A_(2)+2A_(3))/2` `sqrt((A_(1))/(A_(2))).A_(3)` `A_(1)A_(2)A_(3)` `(A_(1).A_(3))/(A_(2))` Solution :`impliesA=A_(3)sqrt((A_(1))/(A_(2)))` and also `impliese^(((-E)/(RT_(1))))=e^([(-E_(3)(E_(1))/2+(E_(2))/2)/(2RT_(1))])` `implies(-EPSILON)/(RT_(1))=(-2epsilon_(3)-epsilon_(1)+epsilon_(2))/(2RT_(1))-epsilon=(-2epsilon_(3)-epsilon_(1)+epsilon_(2))/2,epsilon=((2epsilon_(3)+epsilon_(1)-epsilon_(2))/2)`