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Question

In the decomposition of H2O2 at 300 K, the energy of activation was found to be 18kcal mol1, it is decreased to 6 kcal mol1 when the decomposition was carried out in presence of catalyst at 300 K. How many times is the catalytic reaction faster than the uncatalysed one?

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Solution

The relationship between the rate constant and the activation energy is logk=logAEa2.303RT
For catalyzed reaction logk=logA180002.303×2×300......(1)
For uncatalyzed reaction logk=logA60002.303×2×300......(2)
Subtract equation (2) from equation (1),
logkk=120002.303×600

k=4.8×108=x×108
x=4.8
10x=48

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