Chapter 12.6, Problem 84PE

(a)

To determine

To calculate: The amount of polonium $210$ still present after $50$ days when polonium $210$ has half -life of approximately, $138.6$ days and if 4g of ${}^{210}\text{Po}$ is initially present, then the amount $A\left(t\right)$ of polonium $210$ still present still present after $t$ days is given by

$A\left(t\right)=4e^{-0.005t}$.

(b)

To determine

To calculate: The amount of time necessary for the amount of polonium $210$ to decay to $0.5$ gram when polonium $210$ has half -life of approximately, $138.6$ days and if 4g of ${}^{210}\text{Po}$ is initially present, then the amount $A\left(t\right)$ of polonium $210$ still present still present after $t$ days is given by

$A\left(t\right)=4e^{-0.005t}$