The half-life of _{53}^{131}I is 8 days. How much _{53}^{131}I from a 32-g sample remains after five half-lives?
The half-life of _{53}^{131}I is 8 days. How much _{53}^{131}I from a 32-g sample remains after five half-lives?
Using the following graph, we can find the number of grams of ^{131}I remaining after one half-life:
Trace a perpendicular line from 8 days on the x-axis to the line on the graph. Now trace a horizontal line from this point on the plotted line to the y-axis and read the corresponding grams of ^{131}I Continue this process for each half-life, adding 8 days to the previous value on the x-axis:
Half-lives 0 1 2 3 4 5
Number of days 8 16 24 32 40
Amount remaining 32g 16g 8g 4 g 2 g 1 g
Starting with 32 g, one gram of^{131}I remains after five half-lives (40 days).