Question

The rate constant, k, for a first-order reaction is equal to 4.3 × 10-4 s-1. What is the half-life for the reaction? The rate constant, k, for a first-order reaction is equal to 4.3 × 10-4 s-1. What is the half-life for the reaction? 1.9 × 103 s 1.2 × 103 s 1.6 × 103 s 3.0 × 10-4 s

Answer 1

1.6 × 10³ s

Step-by-step explanation:

Let's consider the following generic reaction.

A → B

The rate law is:

`rate=k * [A]^(m)`

where,

rate is the reaction rate

k is the rate constant

[A] is the molar concentration of the reactant A

m is the reaction order

When m = 1, we have a first-order reaction. We can calculate the half-life for this reaction using the following expression.

`t_(1/2)=(ln2)/(k) =(ln2)/(4.3 * 10^(-4)s^(-1) )=1.6 * 10^(3)s`