On increasing temperature from 200 K to 220 K rate of reaction A increases by 3 times and rate of reaction B increases by 9 times then correct relationship between activation energy of A and B is :
(1) EA = 3EB                  (2) 3EA = EB                   (3) EB = 2EA                 (4) EA = 2EB

Dear Student,

Using Arrhenius equation, ln (k2k1) = EaR(1T1-1T2)For reaction A :k2k1 = 3T1=200T2=220So, ln 3=EAR(1200-1220)    ...(i) For reaction B :k2k1 = 9T1=200T2=220So, ln 9=EBR(1200-1220)    ...(ii) Dividing (i) and (ii)ln 3ln 9 = EAEBor, 12=EAEBor, EB=2EAHence, correct answer is (3)

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