Question 1077240: The half-life of polonium-210 is 15 days. How long will it take for a sample of this substance to decay to 13\% of its original amount?
Answer by jorel1380(3719)   (Show Source):
You can put this solution on YOUR website! The formula for half-life is A=A(0)*0.5^t/n, where A is the remaining amount, A(0) is the initial amount, and t is the amount of time needed, and n is the length of the half-life. So, here we have:
0.13=1*.05^t/15
ln 0.13=ln 0.5^t/15
ln 0.13=t/15*ln 0.5
15*ln 0.13/ln 0.5=t
t=44.151247074504488030157393070831 days. ☺☺☺☺
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