Chapter 20, Problem 26QP

Interpretation Introduction

Interpretation:

The first-order decay constant and the half-life of the given reaction are to be calculated.

Concept introduction:

The rate constant of a first order reaction is given by the expression, which is as follows:

$\ln \frac{N_t}{N_0}=-kt$

Here, $N_t\&N_0$ are the number of radioactive nuclei at time t and 0, $k$ is the decay constant, and $t$ is the time of reaction.

The half-life of a first order reaction is given by the expression, which is as follows:

$t_{1/2}=\frac{0.693}{k}$