For a first order reaction A → B , the rate constant, k = 5 . 5 × 10 - 14   s - 1 . The time…

For a first order reaction AB, the rate constant, k=5.5×10-14 s-1. The time required for 67% completion of reaction is x×10-1 times the half life of reaction. The value of x is Nearest integer) (Given : log3=0.4771)

Solution

For first order reaction, t=2.303klogA0At

Now, t67%=2.303klogA0.33A

t50=2.303klogA0.5A

t67%=1kln11-0.67=t1/2ln2×ln11-23

t67%=1.585×t1/2

X×10-1=1.585

X=15.85

Asked in: JEE Main 2022 (28 Jun Shift 1)

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