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A first order reaction is catalyzed by a catalyst which decreases activation energy by 420 cal. If half life of reaction in absence of catalyst at 300 K is 20 sec., then what would be half life in the catalyzed reaction at 300 K? [1n 2 = 0.7]

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20 sec

10 sec

15 sec

5 sec

answer is B.

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Detailed Solution

We know that

$E_{a} = x$

$(Ex) of catalysed$

$E_{a c} = x - 420$

$\frac{20}{t} = e^{(\frac{420}{2 \times 300})} \Rightarrow t = 10 \sec$

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