Chapter 20.8, Problem 3PE

Interpretation Introduction

Interpretation:

From the initial concentration of radon, the concentration of radon after $\text{2}\text{.4days}$ has to be calculated.

Concept introduction:

First-Order kinetic reaction:

In first-order reaction, the rate constant depends on concentration of reactant raised to first power.  The mathematical equation of first-order reaction is given as,

    $\begin{array}{l}\text{ln}\frac{{\text{[A]}}_{\text{t}}}{{\text{[A]}}_{\text{0}}}\text{=}\text{-kt}\\ \\ {\text{ln[A]}}_{\text{t}}\text{=}\text{-kt}\text{+}{\text{ln[A]}}_{\text{0}}\end{array}$

${\text{[A]}}_{\text{t}}$is the concentration of A at time t.

${\text{[A]}}_{\text{0}}$is the concentration of A at time $\text{t}\text{=}\text{0}$

K is rate constant.