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Purpose:
The concept of radioactive half-life can be a difficult concept
to grasp. We might think that out of 128 radioactive atoms, that
if 64 decay (transmute) in 1 hour that the other remaining 64
will decay in the next hour. But this is not the case. Imagine
128 pennies being tossed. About 64 will be heads and the remaining
will be tails. If we remove the pennies that landed heads and
shake the remaining, would they all land on heads? Of course not,
only about half would. For each shake the decay rate for the pennies
would follow this pattern cloesly: 128 - 64 - 32 - 16 - 8 - 4
- 2 - 1. Using 100 wooden cubes you will experience the concept
of half-life and gain a better understanding of this seemingly
random process.
Setup:
A bag with 100 wooden cubes with 1 of the 6 sides marked
Procedure:
- Verify there are 100 cubes
- Shake the cubes and gently pour on the floor, leveling out
any that are stacked on each other
- Count and remove all cubes that have decayed (Marked face
up)
- Place the undecayed cubes back in the sack and repeat
steps 2 - 4 until you have completed 10 days (shakes)
- Using a piece of graph paper carefully plot the IDEAL DATA
below and connect the points with a smooth line.
- Plot your ACTUAL DATA right on top of the previous
graph using a different colored pencil/pen.
- Draw a straight horizontal line on the 50 atom level (half-way
mark). Where both Ideal and Actual cross this line is the
half-life! The Actual and Ideal will likely cross at slightly
different spots on your graph. If you plotted the IDEAL carefully
you should notice that it crosses the 50 atom level between
day 3 and day 4 and is closest to day 4. Using the half-life
equation from the nuclear tutorial will give an exact half-life
of 3.7 days.
- Graphically approximate your ACTUAL DATA half-life
Data:
| Day (shake) |
Atoms - Ideal (-1/6 each shake) |
Atoms - Actual (remove decayed) |
| 0 |
100 |
100 |
| 1 |
83 |
|
| 2 |
69 |
|
| 3 |
58 |
|
| 4 (3.7 days) |
48 |
|
| 5 |
40 |
|
| 6 |
34 |
|
| 7 |
28 |
|
| 8 |
23 |
|
| 9 |
19 |
|
| 10 |
16 |
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Analysis:
Finally, update your website with the details of this lab experience
including a descriptive summary, all data, and ACTUAL half-life
conclusions! Show the instructor a hard copy of this
experiment and your web synopsis. (Lab web entry graded according
to this rubric).
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