Chapter 9, Problem 8CRE

(a)

To determine

To determine: The value of $k$ if $94\%$ of the technetium has decayed after $24$ hours (that is, $6\%$ remains) when the amount of ${}^{99m}\text{Tc}$ decays exponentially according to the model $Q\left(t\right)=Q_0{e}^{-kt}$ .

(b)

To determine

To determine: The amount remaining after $10$ hours if $30\text{ mCi}$ is initially given to a patient for blood pool imaging of the heart when the amount of ${}^{99m}\text{Tc}$ decays exponentially according to the model $Q\left(t\right)=Q_0{e}^{-kt}$ .

(c)

To determine

To determine: The amount of time required for the amount of ${}^{99m}\text{Tc}$ to fall below $1\%$ of the original amount when the amount of ${}^{99m}\text{Tc}$ decays exponentially according to the model $Q\left(t\right)=Q_0{e}^{-kt}$ .