Chapter 19, Problem 66CP

Interpretation Introduction

Interpretation:The final temperature of water in the calorimeter after 1 hour containing 1.00 g of ${}^{\text{226}}\text{Ra}$ and 10.0 g of water at $25{}^{\text{o}}\text{C}$ needs to be determined.

Concept Introduction: All radioactive decay reactions follow first-order kinetics. Thus, the relation between rate constant and half-life time is as follows:

$k=\frac{0.6932}{t_{1/2}}$

Heat released in a calorimeter can be calculated as follows:

$q=mc\Delta T$

Here, m is mass of substance placed in calorimeter, c is specific heat capacity of the substance and $\Delta T$ is change in temperature.