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In the decomposition of H 2 O 2 at 300K, the energy of activation was found to be 18 kcal/mol while it decreases to 6kcal/mol when the decomposition was carried out in the presence of a catalyst at 300k. How many times is the catalysed reaction faster than the uncatalyased one?

In the decomposition of H2O2 at 300K, the energy of activation was found to be 18 kcal/mol while it decreases to 6kcal/mol when the decomposition was carried out in the presence of a catalyst at 300k. How many times is the catalysed reaction faster than the uncatalyased one?

Grade:12

1 Answers

vikas askiitian expert
509 Points
11 years ago

K = Ae-E/RT                  (E is activation energy)

 

rate(R)= K(a)n                             (k=rate constant & a is concentration , n is order of reaction)

 

rate directily proportional to rate constant so

 

R1/R2 = K1/K2 = e[-E1+E2]/RT

R1/R2 = e[-18+6]/RT                           (R=.08321units , T=300)

          =e-[0.5]                               (e=2.8 )

R2 = 1.67R1               (approx)

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