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8.01 Half-Life & Radioactive Decay

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gabriela cardenas

on 13 May 2015

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Transcript of 8.01 Half-Life & Radioactive Decay

Data:
8.01 Half-Life & Radioactive Decay
Calculations:
1) average
0-3 secs: 200+158/2 = 279
3-6 secs: 158+105/2 = 131.5
6-9 secs: 105+68/2 = 86.5
9-12 secs: 68+44/2 = 56
12-15 secs: 44+11/2 = 27.5
15-18 secs: 11+4/2 = 7.5
18-21 secs: 4+1/2 = 2.5
21-24 secs: 1+0/2 = 0.5
Calculations:
3) Graph of data
Conclusion:
1) In the 3rd time inteval (6 seconds) one-half of my atoms decayed.
2) The half-life of my substance is 6 seconds
3) If the halk-life model decayed perfectly, I would have about 12 atoms remaining after 12 seconds.
4) If I increased the initial amount of atoms to 300, I do not think that the overall shape of the graph would be altered. The largest difference between my current data and changing the amount to 300 would be the time decayed; therefore the graph would still go down the graph.
5)
0 secs: 0/200x100 = 0
3 secs: 42/158x100 = 26.5
6 secs: 53/105x100 = 50
9 secs: 37/68x100 = 54
12 secs: 24/44x100 = 54.5
15 secs: 33/11x100 = 300
18 secs: 7/4x100 = 175
21 secs: 3/1x100 = 300
Conclusion:
6) When observing all my data I calculated and concluded, I realized that as the time intervals continued to increase by 3 seconds, the number of atoms remaining (not decayed) decreased. Therefore, I believe this activity was a very close model for the concept of half-life.

7)When thinking back to my experiment itself, I realized that the half-life activity was better over the first 12 seconds (four decays) rather than the last. In the first time intervals, I believe it was easier for the atoms to decay due to the amount of atoms there were. As atoms continued to decay, and I was starting to run out, it seemed harder to get the atoms to decay, or for the candies to be flipped over, due to all the excess room.
Pictures:
Gabriela Cardenas
Time:
(seconds)
Radioactive atoms remaining
Atoms decayed
0
3
6
9
12
15
18
21
24
27
30
200
158
105
68
44
11
4
1
0
-
-

0
42
53
37
24
33
7
3
1
-
-
time: 0 secs
time: 3 secs
time: 6 secs
time: 9 secs
time: 15 secs
time: 18 secs
time: 21 secs
2)
time(s) Average # of atoms remaining
0 200
3 279
6 131.5
9 86.5
12 56
15 27.5
18 7.5
21 2.5
24 0.5
Full transcript