Chapter 12, Problem 12.70SP

Interpretation Introduction

Interpretation:

The number of $\alpha$ particles emitted in $1.0s$ from a $1.0ng$ sample of ${}^{209}Po$ has to be calculated.

Concept Introduction:

Half-life period: It is the time required for the reactant (substrate) concentration reduces to one-half of its initial concentration.

$\text{ln}\left(\frac{{\text{N}}_{\text{t}}}{{\text{N}}_{\text{0}}}\right)\text{=}\left(\text{-}\text{ln}\text{2}\right)\left(\frac{\text{t}}{{\text{t}}_{\text{1/2}}}\right)$

Where,

Remaining $\left({\text{N}}_{\text{t}}\right)$ and initial $\left({\text{N}}_{\text{0}}\right)$ amounts of a radioactive sample at time $\left(\text{t}\right)$ and ${\text{t}}_{\text{1/2}}$ is the half-life period