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IF the t(1//2) for a first order reactio...

IF the `t_(1//2)` for a first order reaction `0.4` min, the time of or `99.9%` completion of the reaction is ............min.

A

16 min

B

8 min.

C

32 min

D

40 min.

Text Solution

Verified by Experts

The correct Answer is:
D
For first order reaction, `t_(1//2)` is constant and to complete 99.9% reaction, it requires approximately 10 times of half-life time.
`kt =n""(100)/(0.1)" "(0.693)/(t_(1//2)), t=2.303 log 1000`
`t=(2.303xx3xxt_(1//2))/(0.693)~~10 t_(1//2)`
i.e. `~~4xx10=40` m in.
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