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Question

At 380C, the half-life period for the first-order decomposition of H2O2 is 360 min. The energy of activation of the reaction is 200 kJ mol1. Calculate the time required for 75% decomposition at 450C?

A
20.4 minutes
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B
21.6 minutes
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C
26.7 minutes
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D
30.2 minutes
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Solution

The correct option is A 20.4 minutes
As we know,

k=0.693t1/2=0.693360=0.001925

and Ea=200 kJ mol1

lnk2k1=lnt1/2(1)t1/2(2)=EaR×(1T21T1)

On substitution we get,

t1/2(2)=0.693/k=10.2 min at 4500C

So time required for 75% decomposition is 2t1/2=20.4 min.

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