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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. 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) .

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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)

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