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A sample of Pb-212 is showing 1000 disintegrations per second. Its activity is counted every 6 hours and the results are displayed in the table

A sample of Pb-212 is showing 1000 disintegrations per second. Its activity is counted every 6 hours and the results are displayed in the table below.

  • Use Excel to plot the data on a linear scale; observe the logarithmic trend.
  • Next, take the log of the second column and draw a semilog plot.
  • It should be a straight line; calculate its slope.
  • It should give you the decay constant of Pb-212.

Calculate the half-life of Pb-212 and compare with the chart of nuclides value.

Time (hrs) Count
0 1000
6 677
12 458
18 310
24 210
30 142
36 96
42 65
48 44
54 30
60 20
66 14
72 9
78 6
84 4

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