Chapter 9, Problem 84P

Interpretation Introduction

Interpretation: The half-life for the radioactive decay of thallium-201 is 3.0 days. The final amount of sample is after 12 days is given $4.0\mu \text{Ci}$ . The initial activity in microcuries of the sample needs to be determined.

Concept Introduction: The integrated rate law for first order reaction is represented as follows:

$k=\frac{2.303}{t}\log \frac{\left[A_o\right]}{\left[A_t\right]}$

Here, k is rate constant, $\left[A_o\right]$ is initial amount and $\left[A_t\right]$ is final amount of the sample.