Name ___________________ Date ____________ PS/ES Per. __________ Mr. Landsman Modeling Radioactive Decay …with candy, what else is there? Background: Geological processes often reveal relative time, for example: Superposition. The analysis of layers cannot in itself indicate the actual or absolute age of rock. Absolute time, expressed in years, is best determined by testing radioactive isotopes in a rock and comparing the ratios between the original isotope and the decay product. In this activity, you will create and operate a model of radioactive decay in which candies (or pennies) represent radioactive isotopes. Materials: Plastic box 100 candies Graph paper Colored pencils Napkins Toothbrush Procedure: 1. Place exactly 100 candies LETTER SIDE DOWN (tails) in the container. 2. Close the cover and carefully shake the box up and down giving all particles an equal chance of flipping over. 3. Open the box and remove the flipped candies (heads). 4. Count and record the number of UNCHANGED candies remaining in the box. Record this number in your table. 5. Repeat steps 2 – 4 until all the “isotopes” have “decayed”. 6. Record your complete data set on the overhead machine (front of class, big bright light thingy) 7. Calculate the number of accumulating decayed candies based on the class average. 8. Graph the class averages for parent and decay product on a single set of axes. Use different colored pencils for each line. Provide a key, title etc. DATA TABLE Number of Unchanged Candies Flipped Candies Your Data 100 Class Average 0 TRIAL (shake) # 0 1 2 3 4 5 6 7 8 Class Average 100 Define Half-life:_____________________________________________________ ____________________________________________________ ____________________________________________________ ____________________________________________________ ____________________________________________________ Discussion Questions: 1. State what each of the following parts of the model represent in real radioactive decay. a) A single candy FACE DOWN in the box. ___________________________________________________________ b) A single candy, letter facing UP. (you removed them) ___________________________________________________________ c) A trial (when you shook the box). ___________________________________________________________ 2. Predict what the half-life of 100,000 candies would be if you were fortunate enough to have that many. __________________________________________ 3. Assume that each trial on the horizontal axis of your graph represents 1000 years of time. Using the class averages UNCHANGED line on the graph, indicate the absolute age of a radioactive sample with: 80 percent unchanged “atoms”________________ 40 percent unchanged “atoms” _______________ 10 percent unchanged “atoms” _______________
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