the half life of polonium is 139 days. you have a brand new sample of polonium that will not be useful to you after 80% of the m
aterial hasdistegraded. For how many days will you be able to use the polonium?
1 answer:
The half-life of Po is 139 days, so its decay rate is
0.5 = e^(139k) ==> k = ln(0.5)/139
After some time t, 80% of the material will have decayed and you'll be left with a sample 20% of its original mass:
0.2 = e^(kt) ==> t = ln(0.2)/k = ln(0.2)/ln(0.5) * 139 = 322.748
so your sample is usable for about 323 days.
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