Question

Alexander Litvinenko was poisoned with 10 micrograms of the radioactive substance Polonium-210. Since radioactive decay follows a compounded continuously model, we can determine the amount of substance left in Alexander Litvinenko's body at any given time. If Polonium-210 has a decay rate of .502%, then determine the amount of Polonium-210 left in his body after 115 days. Provide 3 decimal places and a label in your answer.

Answer 1

Answer:

Left amount of Polonium-210 after 115 days will be 4.5927 microgram

Explanation:

We have given initial mass of Polonium-210 $N_0=10microgram$

Decay rate x= 0.502% = 0.00502

Time t = 115 days

We have to find the left amount of Polonium -210 after 115 days

We know that left amount is given by

$N=N_0e^{-xt}=10e^{-0.00502\times 115}=4.5927microgram$

So left amount of Polonium-210 after 115 days will be 4.5927 microgram