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Question

The rate constant for the first order decomposition of H2O2 is given by the following equation:

log k=14.21.0×104KT

Calculate Ea for this reaction and rate constant k of its half-life period be 200 minutes. ( Given: R= 8.314 JK1mol1

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Solution

According to Arrhenius equation,
k=AeEa/RT
lnk=lnAEaRT
logk=logAEa2.303RT
Comparing with the given equation,
Ea2.303RT=1.0×104KT
Ea=2.303R×1.04×104K
Ea=2.303(8.314JK1mol1)×1.0×104K
Ea=191.47kJmol1
Half-life period, t(1/2)=200minutes
Rate constant, k=0.693t(1/2)
k=0.693200
k=0.3465min1

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