Chapter 21.8, Problem 2CP

Interpretation Introduction

Interpretation:

The exact mass of a $\text{1}\text{.0 g}$ sample of radon left after $\text{30}$ days is to be determined.

Concept Introduction:

The expression for the rate constant is as follows:

$\text{ln}\frac{N_t}{N_o}=-kt.$

Here, $N_t\text{ and }{N}_o$ are the concentrations of the substance at times t and $0,$ respectively, $k$ is the rate constant, and $t$ is the time.

The rate constant $k$ for the first-order reaction using the half-life period is calculated as follows:

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

Here, $k$ is the rate constant and $t_{1/2}$ is the half-life time.