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The rate constant for the first order re...

The rate constant for the first order reaction is `60 s^(-1)`. How much time will it take to reduce the concentration of the reactant to `1//16th` value ?

Text Solution

Verified by Experts

It is known that
`t = (2.303)/(k) "log" ([R]_(0))/([R])`
= `(2.303)/(60 s^(-1)) "log" (1)/((1)/(16))`
=`(2.303)/(60 s^(-1)) "log" 16`
= `4.6 xx 10^(-2) s` (approximately)
Hence , the required time is `4.6 xx 10^(-2)s`
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