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Countertop Chemistry Experiment 32
Radioactive Decay of Candium

How fast does a radioactive isotope decay? How long will it take for a sample to completely transmutate into a new element?

Materials

candy pieces (M&M's, Skittles etc.)
resealable bag
graph paper

Procedure

  1. Place 50 atoms of candium (pieces of candy) in the bag.
  2. Seal the bag and gently shake for 10 seconds.
  3. Gently pour out candy.
  4. Count the number of pieces with the print side up. These atoms have "decayed".
  5. Return only the pieces with the print side down to the bag. Reseal the bag.
  6. Consume the "decayed" atoms.
  7. Gently shake the sealed bag for 10 seconds.
  8. Continue shaking, counting, and consuming until all the atoms have decayed.
  9. Graph the number of undecayed atoms vs time.

Data and Observations

 
Half-life Total Time # of Undecayed Atoms # of Decayed Atoms
0
1
2
3
4
5
6
7
8

 

Extension

  1. Define half-life.
  2. In the experiment what was the half-life the element candium?
  3. At the end of 2 half-lives what fraction of the atoms had not decayed?
  4. Describe the shape of the curve drawn in step 9.
  5. Repeat the experiment starting with 30 atoms, 80 atoms, and 100 atoms of candium. Compare the resulting graphs.
  6. Repeat the experiment using half-lives of 5 seconds, 20 seconds, and 1 minute. Compare the resulting graphs.

Teacher's Notes

Some naturally occurring isotopes of elements are not stable. They slowly decompose by discarding part of the nucleus. The isotope is said to be radioactive. This nuclear decomposing process is called nuclear decay. The length of time required for half of the isotope to decay is the substance's half-life. Each radioactive isotope takes its own particular amount of time to decay. However, when the amount of remaining isotope is plotted against time the resulting curve for every radioisotope has the same general appearance.

Hint:

Make sure you use candies with printing on one side (plain M&Ms).

Answers to Extensions

  1. Half-life is the length of time required for one half of the isotope to decay.
  2. The half-life of candium in this activity was 10 seconds.
  3. At the end of two half-lives 1 /4 of the original sample remained, 3/4 of the sample had decayed into a new element.
  4. The graph is a decreasing logarithmic curve.
  5. The graphs will be almost the same.
  6. The graphs will be almost the same.
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