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). $$\begin{array} { c c }
\hline \text { time (hours) } & \text { decay rate } \left( \mathrm { s } ^ { - 1 } \right) \
\hline 0 & 7623 \
1 & 7447 \
2 & 7275 \
3 & 7106 \
4 & 6942 \
5 & 6781 \
6 & 6624 \
\hline
\end{array}$$

Question

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). $$\begin{array} { c c } 
\hline \text { time (hours) } & \text { decay rate } \left( \mathrm { s } ^ { - 1 } \right) \
\hline 0 & 7623 \
1 & 7447 \
2 & 7275 \
3 & 7106 \
4 & 6942 \
5 & 6781 \
6 & 6624 \
\hline
\end{array}$$

Quizplus · Accepted Answer

The Answer of 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). $$\begin{array} { c c } 
\hline \text { time (hours) } & \text { decay rate } \left( \mathrm { s } ^ { - 1 } \right) \
\hline 0 & 7623 \
1 & 7447 \
2 & 7275 \
3 & 7106 \
4 & 6942 \
5 & 6781 \
6 & 6624 \
\hline
\end{array}$$

The Measured Decay Rates of a Radioactive Material as a Function