The Measured Decay Rates of a Radioactive Material as a Function

question 11

Essay

The measured decay rates of a radioactive material as a function of time are
shown in the table below.
(a) Calculate the half-life of the decay.
(b) Show that a semilogarithmic plot of the decay rate as a function of time is linear.
(c) Derive an analytical form of the linear relationship for part (b). $$\begin{array} { c c } \hline \text { time (hours) } & \text { decay rate } \left( \mathrm { s } ^ { - 1 } \right) \\\hline 0 & 7623 \\1 & 7447 \\2 & 7275 \\3 & 7106 \\4 & 6942 \\5 & 6781 \\6 & 6624 \\\hline\end{array}$$

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Definitions:

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The basic measure of quantity in accounting, production, or inventory, often representing a single item or instance of a product.

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