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Chemistry Question on Chemical Kinetics

ABA \rightarrow B The rate constants of the above reaction at 200K200 K and 300K300 K are 0.03min10.03 \min ^{-1} and 0.05min10.05 \min ^{-1} respectively The activation energy for the reaction is __JJ (Nearest integer) (Given :ln10=2.3: \ln 10=2.3

R=8.3JK1mol1R =8.3 \,JK ^{-1} \,mol ^{-1}

log5=0.70\log 5=0.70

log3=0.48\log 3=0.48

log2=0.30)\log 2=0.30)

Answer

The correct answer is 2520.
logK200​K300​​=2.3×8.314Ea​​(T1​1​−T2​1​)
log0.030.05​=2.305×8.314Ea​×[2001​−3001​]
Ea​=2519.88J⇒Ea​=2520J