The rate constant for a first order reaction is \(20 ~min ^{-1}\). The time required for the initial concentration of the reactant to reduce to its \(\frac{1}{32}\) level is______ \(10^{-2} ~min\). (Nearest integer) (Given : \(\ln 10=2.303, \log 2=0.3010)\)

[JEE Main 2023, 31 Jan (Shift 2)]

Question

The rate constant for a first order reaction is \(20 ~min ^{-1}\). The time required for the initial concentration of the reactant to reduce to its \(\frac{1}{32}\) level is______ \(10^{-2} ~min\). (Nearest integer) (Given : \(\ln 10=2.303, \log 2=0.3010)\)

[JEE Main 2023, 31 Jan (Shift 2)]

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