Q.5.48 - An Introduction to General, Organic, and Biological Chemistry

Question

If the half-life of Tl-201 is 3.0 days, what is its activity, in megabecquerels

a. after 3.0 days?

b. after 6.0 days?

Step-by-Step Solution

Answer

 Part (a). $36$ megabecquerels

Part (b) .$18$ megabecquerels

Part (a) Step 1: Given Information

The half-life of a response is the time expected for a reactant to arrive at the one-a portion of its underlying fixation or tension. For a first-request response, the half-life is autonomous of fixation and consistent after some time.

Part (a) Step 2: Explanation

In $3$days the number of half-lives is,

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

Hence after one half-life,

$\frac{72}{2}=36 megabecquerels$

Part (b) Step 1: Given Information

The half-life of a response is the time expected for a reactant to arrive at the one-a portion of its underlying fixation or tension. For a first-request response, the half-life is autonomous of fixation and consistent after some time.

Part (b) Step 2: Explanation

The number of half-lifes in $6$ days is,

$\frac{6\text{ days }}{3\text{ days }}\times 1\text{ half life }=2\text{half lifes}$

Hence after every one half-life, 

$=\frac{72}{2}=36 \text{megabecquerels}$

$=\frac{36}{2}=18 \text{megabecquerels}$
Hence the number of half lifes in $6$ days is $18$ megabecqurels.