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The decay of a radioactive elemenet is described by the equation A = Ao.e^(-kt) where A is the
amount at time t, Ao is the amount at time zero, and k is the decay constant.
Determine Ao and the decay constant K
Please show the working you did to achieve the answer (formulas, short hand notation) would be
helpful so I can see where you are coming from.
Time (day) Balonium- 245 (grams)
0 45.3
0.05 30.4
0.1 20.9
0.15 14.1
0.2 9.4
0.25 6.1
0.3 4.1
0.35 3
0.4 2
Solution
Ao=amount at time t=0 so Ao=45.3 gm now at t=0.05 45.3*exp(-0.05k)=30.4 so k=7.9772
year^(-1)
The decay of a radioactive elemenet is described by the equation A - A.docx

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The decay of a radioactive elemenet is described by the equation A - A.docx

  • 1. The decay of a radioactive elemenet is described by the equation A = Ao.e^(-kt) where A is the amount at time t, Ao is the amount at time zero, and k is the decay constant. Determine Ao and the decay constant K Please show the working you did to achieve the answer (formulas, short hand notation) would be helpful so I can see where you are coming from. Time (day) Balonium- 245 (grams) 0 45.3 0.05 30.4 0.1 20.9 0.15 14.1 0.2 9.4 0.25 6.1 0.3 4.1 0.35 3 0.4 2 Solution Ao=amount at time t=0 so Ao=45.3 gm now at t=0.05 45.3*exp(-0.05k)=30.4 so k=7.9772 year^(-1)