SOLUTION: 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?

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. ☺☺☺☺
RELATED QUESTIONS
A 200 g sample of radioactive polonium-210 has half-life of 138 days. a) Determine the (answered by josgarithmetic)

The half-life of iodine-131 is 7.2 days. How long will it take for a sample of this... (answered by ewatrrr)

8. Radioactive materials like uranium follow the law of uninhibited decay, which is an... (answered by josgarithmetic)

The half life of radioactive element plutonium-239 is 20 years. How long will it take... (answered by ankor@dixie-net.com)

The half-life of a certain substance is 27. How long will it take for a sample of this... (answered by josgarithmetic)

I would really appreciate some help with this one. The half life of a radio active... (answered by scott8148)

The half-life of a radioactive substance is 33.3 years. a. Find the exponential decay... (answered by josgarithmetic)

The half-life of a substance is the time it takes for half of the substance to remain... (answered by ankor@dixie-net.com)