11/16/07

Radioactive Decay - Mass remaining

Q.
Polonium-210 is a radioactive element with a half-life of 20 weeks. From a sample of 25 g, how much would remain after 30 weeks?
A.
ln(M/Mo) = -kt (M = mass left, Mo = original mass)
k = 0.693/T(half) = 0.693/20 = 0.03465
ln(M/25) = - (0.03465)(30wks) = -1.0395
lnM - ln25 = -1.0395
lnM = ln25 -1.0395 = 2.1794
M = 8.84 g radioactive material remaining

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