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 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.If temperature coefficient of the observed reactionis 2,the numerical value of E_(1)-E_(2)+2E_(3) is
Answer» 12.73 kcal 25.4 kcal 38.19 kcal cannot be calculated Solution :`log((K_(2))/(K_(1)))=(E_(a))/(2.303R)(1/(T_(1))-1/(T_(2))),log(2)=(epsilon_(a))/(2.3.3R)(1/298-1/308)` `epsilon_(a)=((0.3010xx2.303xx2xx298xx308)/10),epsilon_(a)=12.72KCal=((2epsilon_(3)+epsilon_(1)-epsilon_(2))/2)` `12.72=((2epsilon_(3)+epsilon_(1)-epsilon_(2))/2)(2epsilon_(3)+epsilon_(1)-epsilon_(2))=12.72xx2=25.4499,(epsilon_(1)-epsilon_(2)+2epsilon_(3))~=25.4` Kcal