Problem: How does half-life vary between isotopes? How can the radioactive isotopes be used to determine the age of rocks?
Background: In this investigation we will be modeling radioactive decay in three different elements. The
following is a list of the objects and what is being modeled.
- Box = A rock or object being dated ●Shake = Time of decay (1 shake = 1000 yrs)
- Corn Seeds = 100 atoms of a radioactive isotope (Parent) ● Sides of the box = Each different element
- Removed Corn = Decayed atoms (Daughter)
Procedure: Part One:
- Obtain a laptop computer and open the excel file for this lab.
- Obtain a clear rectangular container with a lid, and 100 pieces of corn (markers).
- Choose one long side of the container and mark it.
- Place the corn markers in the box, replace the lid and shake gently.
- Remove the lid and count the corn markers that are pointing to the one marked side. Assume these markers have decayed.
- Record the number of decayed (taken out) and the number remaining in table 1 of the excel file.
- Replace the lid and repeat steps #3-#5, as many times as needed, until the box is empty.
- From excel, copy table 1 and paste in the blank space below.
Insert Table 1 here:
Procedure: Part 2:
- Repeat the procedure above with 2 sides marked and record your results in data table 2 in excel.
- From excel, copy table 2 and paste in the blank space below.
Insert Table 2 here:
Procedure: Part 3:
- Repeat the procedure above with 3 sides marked and record your results in data table 3 in excel.
- From excel, copy table 3 and paste in the blank space below.
Insert Table 3 here:
- Create a line graph comparing the number of undecayed markers verses time. Place time on the horizontal (x-axis) and the number of undecayed markers on the vertical (x-axis). Plot all three lines on one graph.
Insert the graph here:
Questions: Type your answer to each question in the space below the question.
- In modeling the process of radioactive decay, what did the corn seeds represent?
- In modeling the process of radioactive decay, what did the number of marked sides represent?
- In modeling the process of radioactive decay, what did each shake represent?
- From your graph, what was the half-life in years of each of your elements? (Hint: The time when the # decayed =50%)
Isotope A -
Isotope B -
Isotope C -
- Make a claim about the half-life length of various elements. Support your claim using your numerical data, as well as the information learned in class. Justify how your data supports your claim.
- Which of your Isotopes would you choose to date an object that is believed to be 30,000 years old? Why?
- In the space below, or on a separate sheet of paper, create a model or illustration to represent a sample of Potassium-40 going through two half-lives.