Read the passage given below and answer based it.

The rate of a reaction is concerned with decrease in concentration of reactants or increase in concentration of products per unit time. It can be expressed as instantaneous rate at a particular instant of time and average rate over a large interval of time. A number of factors such as temperature, concentration of reactants, catalyst, affect the rate of a reaction. Mathematical representation of rate of a reaction is given by rate law. It has to be determined experimentally and cannot be predicted. Order of a reaction with respect to a reactant is the power of its concentration which appears in the rate law equation. Molecularity is defined only for an elementary reaction. Molecularity and order of an elementary reaction are same.

Rate constant for a first order reaction is \(0.3465 × 10^{–3} s^{–1}\). The \(t_{1/2}\) for the same reaction is:

\(2000 s\, \ s\)

The correct answer is option 1. \(2000\, \ s\).

Given,

Rate constant \(= 0.3465 × 10^{–3} s^{–1}\)

We know, that for a first-order reaction,

\(t_{1/2} = \frac{0.693}{k}\)

or, \(t_{1/2} = \frac{0.693}{0.3465 × 10^{–3}}\)

or, \(t_{1/2} = 2000\, \ s\)