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

Explanation

Data : `k = 60s^(-1), [R]_(0) = 1, [R] = (1)/(16) , t = ? `
formlula, `k = (2.303)/(t) log ""([R]_(0))([R])`
Substitution : `t = (2.303)/(60) log ""((1)/(1))/(16) rArr t = (2.303)/(60) log 16`
`t = (2.303)/(60) xx 1.204 rArr t = 4.6 xx 10^(-2)` seconds.