Q.5.49 - An Introduction to General, Organic, and Biological Chemistry

Question

How many days will it take until the activity of the Tl-201 in Simone's body is one-eighth of the initial activity?

Step-by-Step Solution

Answer

$9$days until the activity of the Tl-201 in Simone's body is one-eighth of the initial activity 

Step 1: Given Information

Finding the activity of the Tl-201 in Simone's body and calculating the number of days until it is one-eighth of the initial activity.

Step 2: Explanation

Calculating the number of half-lives,

$\Rightarrow \frac{1}{2}\times \frac{1}{2}\times \frac{1}{2}=\frac{1}{2^3}=\frac{1}{8}$

Hence there are $3$ half lives.

Finding the number of days,

$\Rightarrow \frac{3 days}{1 half life}\times 3 half life=9 days$

Hence it will take $9$ days until the activity of the Tl-201 in Simone's body is one-eighth of the initial activity.